diff --git "a/data/dm_maths/full_data/10598_11255.jsonl" "b/data/dm_maths/full_data/10598_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/10598_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Is 416 a factor of 3877756?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 4*t - 5. Let u(v) = 13*v - 16. Let i(f) = -7*d(f) + 2*u(f). Let o(z) = 2*z - 4. Let a(j) = -4*i(j) - 3*o(j). Let p(k) = -7*k**2. Give p(a(l)).\nAnswer: -28*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 9 + 6)*(-4*u - u + 6*u)*(-1 - 1 + 1 + 1 - 4 - 1 + (-1 + 3 - 1)*(1 - 3 + 3)).\nAnswer: -80*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from wwwww?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.1935648 + -2.12154. Let m = 0.072 - j. What is m rounded to six decimal places?\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011.634 millilitres to litres.\nAnswer: 1.011634","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((3\/144*6)\/(3\/24))\/(175\/2765)?\nAnswer: 79\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28 - -27.5. Which is the third biggest value? (a) 3 (b) 0.1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50766211927 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 159594 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-4))\/(286\/52)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/32 and 47\/332?\nAnswer: 2656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1400554003 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 1\/2*i**2 - 1\/2*i = 0. Calculate i.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the first derivative of 16 + 4\/15*d**2 + 16\/15*d - 4\/45*d**3 - 1\/30*d**4. Factor a(j).\nAnswer: -2*(j - 2)*(j + 2)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6536276?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 7, b: 11, u: 1}. Give prob of picking 1 b, 1 d, and 1 u.\nAnswer: 77\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x\/(x*x\/((x**12*x)\/x))*x*x))\/x**7*(x\/x**(-2))\/(x\/((x**(-15)*x)\/x)) assuming x is positive.\nAnswer: x**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10955, -30389, -49823?\nAnswer: -69257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2795 - 2792. Suppose -1\/7*r**2 + 2\/7*r**n + 0*r + 0 - 1\/7*r**4 = 0. Calculate r.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.97 - 0.03. Put -3, 0.1, s in increasing order.\nAnswer: s, -3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 61 - 59. Suppose -4*v - q*z + 0*z + 212 = 0, z + 4 = 0. Suppose -g + 0*j = -2*j - v, 3*g - 154 = -5*j. List the prime factors of g.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the first derivative of 2*l**3\/3 + 5*l**2 - 9. Determine b, given that j(b) = 0.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 870?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 36\/55 and -94\/8775.\nAnswer: 96525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*2*sqrt(7) + -2 + (2*(sqrt(14)\/sqrt(2) + 2))**2.\nAnswer: 4*sqrt(7) + 42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 + -8. Let v be p\/(-44) + (-4)\/(-22). Put 0.2, v, 1 in ascending order.\nAnswer: v, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1440\/432*(-6)\/8?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2859454.\nAnswer: 2, 13, 71, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 666 is divided by 61.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 598349371 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 1, d: 4, l: 1, u: 4, b: 3}. Give prob of sequence uddb.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*g**3 + 68*g**3 + 10*g**3)*(5 + 2 + 73*g - 61*g) + 0*g**4 - 3*g**4 + 4*g**4.\nAnswer: 1081*g**4 + 630*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of 2*a - 1\/3*a**4 + 0 + 0*a**3 - a**2. What is the derivative of g(p) wrt p?\nAnswer: -8*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 v, and 1 m when three letters picked without replacement from {r: 2, m: 1, j: 1, l: 3, v: 9, y: 3}?\nAnswer: 9\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 - -15 - ((1 - 0) + -7).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1926, -3579, -4828, -5469, -5298?\n\"Answer: 34*z**3 - 2*z**2 - 1885*z - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-34)\/6)\/(4\/(-12)). Solve -12*x = -u - 7 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 26*k = -45 - 149, 7*k - 142 + 93 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -181\/22890 and -49\/2834?\nAnswer: 297570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(2\/81)*b)\/b*b**18\/b*b**(5\/8)\/b**(-20))**(-28) assuming b is positive.\nAnswer: b**(-170779\/162)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 81697 and 154?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = l + 2*l. Suppose 3*m - 4 = l. Is 11 a factor of -2 + m - (-40)\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:16 PM and 9:26 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p - 5*p - 5*p - 1. Suppose b - 2*b = -22. What is the remainder when g(-8) is divided by b?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 - 0\/(-2) - -2. Suppose -4*r - 3*i + 11 = c, 0*r + r - 3*i + 1 = 0. Suppose -r*b + 6 + 0 = 0. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = 6*h - 12. Solve h*p = -p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 45 and 2547?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 11:40 AM?\nAnswer: 6:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -378\/5 + 2559\/40. What is the common denominator of o and -51\/4834?\nAnswer: 19336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 1852412.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = 3*j - 3 + 12, 3*o = 4*j + 12. Suppose 2*m - 39 - 17 = o. What is the smallest common multiple of 12 and m?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**2 + 3*x**2 - 2*x**2)*(x**2 + x**2 - 4*x**2) + (-2*x - x + x)*(25*x**3 - 110*x**3 - 2*x**3) + (4*x**3 - x**3 - 5*x**3)*(2 + x - 2).\nAnswer: 174*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*f, 12 + 9 = -t - 4*f. Let g = -2 - -1. Sort g, t, -2 in increasing order.\nAnswer: t, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (-5 + -3 + 3) - -7?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 PM and 5:41 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3527*b*f - 347*b wrt f.\nAnswer: -3527*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**3 + 5*z**2 - 3*z - 3. Let w be g(-5). Suppose 3*u - 5*u + w = 0. Suppose -117 = -u*d + 255. What are the prime factors of d?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2792 is divided by 35.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j**2 + j - 2. Let c be s(2). Let g = c - 8. Solve g = p + 4 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9233 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -51\/650 + 1\/26. Let m = 0 + -1. Which is bigger: f or m?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 147848?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-one quarters of a litre in millilitres?\nAnswer: 17750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9517*b**4 - 58*b**2 + 1472260.\nAnswer: 38068*b**3 - 116*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -885 = -126*n - 2901 for n.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -173*b - 2. Is c(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of w**6\/120 - w**5\/6 - 11*w**4\/24 + w**3\/3 + 10*w**2 - 1. Let y = 4 + 7. Is u(y) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*u**2 + 6*u**2 + 10*u**2 + 2*u**2 - 24*u**2.\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 - 0 - (-2)\/(-2). Suppose -f - 4*k = 11, 0 = -f + k + 5 + 4. Suppose f*a + 0*a - 100 = 0. Solve v*b + 3*b = a for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72 - 149 + d**2 + 77.\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tttt when four letters picked without replacement from {t: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*u + 4*u - 2*u + (-1 + 1 - u)*(5 - 3 - 3) + 2*u + 0*u + 0*u + (-2 - 3 + 3)*(3 - 3 - u) in the form j*u + z and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 220\/121*(-1639)\/(-2682)\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 2 = -5*i + 6*y, -4 = 3*i - 2*y for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -259326, -259319, -259312?\n\"Answer: 7*h - 259333","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 c when two letters picked without replacement from {y: 1, b: 1, x: 1, r: 2, c: 2, s: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1838 + (-1 + -12 - -12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 981909964?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/19 - (-2121)\/7. Which is smaller: 302 or m?\nAnswer: 302","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0066626 to four dps.\nAnswer: 0.0067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10569 - -10495.33. Let y = -1.33 + t. Let z = -75.0024 - y. Round z to 3 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -4*l - p, 3*l + 5*p - 27 = -3. Suppose w + 2 = 0, l*w - 13 = -y + 2*w. Is 15 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2. Let p(l) = 157*l - 2. What is p(o(c))?\nAnswer: 157*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5*(-6)\/(-105))\/((-6)\/14).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -254503050330 - 4?\nAnswer: -254503050334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/36*-2*3. Sort -1, b, -0.1, 2 in ascending order.\nAnswer: -1, b, -0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 6.7. Let n = 0.3 - w. What is the smallest value in 3, n, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 9*o**3 - 26*o**2 - 656*o - 628. Determine k(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 11*j - j**2 - 6*j - 6 + 3*j. Let o be g(7). Let f be -2 + (-2 - -4) - -1. Solve 2*r + o + f = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -148988 divided by -28.\nAnswer: 5321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -0.0023?\nAnswer: 0.0069","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 659632 is divided by 4044.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35805212164.84210571 - 35805212485. Let h = -320.1381 - r. Let g = h + -0.0198. Round g to 7 dps.\nAnswer: -0.0000057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -256 in 22, 4\/7, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-114)\/(-54) - 2) + 47\/63\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 515153 (base 7) to base 15.\nAnswer: 1b228","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1458 - 1458.1. Sort 1, q, 3, 0.\nAnswer: q, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 8 + (-4 - -1) + -2. Solve c*f - 5*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 8 = -2. Let q = 22 - t. Suppose 0 = 4*v - q + 8. Calculate the highest common divisor of v and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*m**3 - 2*m**3 + 0*m**3)*(-423 - 383 + 99 + 2*m).\nAnswer: 6*m**4 - 2121*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l**2\/5 - 16*l\/5 - 84\/5 = 0. Calculate l.\nAnswer: -3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve c = 5*s - 20, 5*c + 0*s - 8 = -2*s for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9140.26 decades in months?\nAnswer: 1096831.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/808, 1\/2, 2\/3 in ascending order.\nAnswer: 3\/808, 1\/2, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1100001 - -100?\nAnswer: 1100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -5 (c) -2 (d) 2\/13 (e) 3\/127\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2121123 + -11?\nAnswer: -2121200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*o - 16*o + 2*o**4 - 2 + 9*o**2 - 2*o**3 - 9*o**2 to w*o**3 + n*o**4 + g*o + y*o**2 + m and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 63 - (129 - 18).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/6)\/(25\/375). Solve 2*y = -j*y + 28 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 137 + -98. Suppose -2*t - 29 = -a. Suppose t*w = 52 + 8. Calculate the greatest common divisor of 3 and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes before 10:39 PM?\nAnswer: 12:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 110097149 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 48529 and 1474525?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/3 - 2\/(-30). Let b = -234.762 - -235. Let f = 0.138 - b. What is the closest to -2 in f, 0.2, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 97162, 97160, 97132, 97066, 96950, 96772, 96520, 96182?\n\"Answer: -2*j**3 - j**2 + 15*j + 97150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kn when two letters picked without replacement from {m: 2, k: 11, n: 1, z: 1}.\nAnswer: 11\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -u*x**5 - 2*u*x**4 + 2*u - 22579*x**3 + 470996*x**2 wrt x.\nAnswer: -60*u*x**2 - 48*u*x - 135474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 372, 1294, 2616, 4188, 5860?\n\"Answer: -25*r**3 + 350*r**2 + 47*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = l**2 - l. Let c(y) = 12*y**2 - 6*y + 4. Let d(f) = c(f) - 3*x(f). Let g be d(3). Let o = -75 + g. What is the highest common factor of 4 and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.07, -1.4, -5, 2?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 + 2*x**2 - 2*x + 4. Give t(-4).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -893213 and -4.\nAnswer: -893217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1837395 a multiple of 285?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -10\/3 (b) 2\/3 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8*p - 22*p + 8*p + 3 wrt p.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -5*b**3 - 3*b**2 + 2*b + 2. Let j(w) = w**3 + w**2 - w - 1. Let n(v) = 4*j(v) + s(v). Determine n(-2).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - ((0 + -3 - 3) + 9)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -1007*i**2. Let w(k) = -38*k**2. Let h(b) = 5*u(b) - 133*w(b). Let j(d) = -d**2. What is h(j(a))?\nAnswer: 19*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 14534836 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + 1 - 21\/28. Let q = 637 + -637.2. Are k and q nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 less than 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jky when three letters picked without replacement from {j: 6, f: 4, k: 1, y: 2}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2300)\/(-276))\/((-3)\/9)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3296896 and 4496?\nAnswer: 926427776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide (6\/(-15))\/(3\/(-765))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 44 and 18560?\nAnswer: 204160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-11)\/9 + (-14)\/(-63). Let g be (0\/t)\/(-7 + 6). Which is the nearest to g? (a) 3 (b) 0 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i**3 + 5*i**3 + 3*i**3)*(2*i + 4*i - 3*i) + 822*i**2 - 822*i**2 + 37*i**4 + 3*i**4 - i**4 + 0*i**4.\nAnswer: 54*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 and 277.\nAnswer: 1385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1 - (0 - 0) - -4. Suppose 0*b = r*s + b + 28, 0 = -s - 3*b - 14. Let o = s + 64. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (304\/570)\/(3*9\/15 + -1)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 895 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + 0)*2\/4*-32. Suppose -s = z + 3*o, 0*z + 5*o = 2*z + 65. Which is greater: -23 or z?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 + 3*r**2 - 5*r. Suppose 3 = l - 3. Suppose -l = 2*v - 2. Let k = v - -3. Let p(f) = -f**2 + f. Give k*o(h) + 3*p(h).\nAnswer: -h**3 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 1 + -3 - -1 - 2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10787*r**2 + 5393*r**2 + 5393*r**2.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m - 1. Let l be z(7). Let n(i) = 10*i**3 - 10*i**2 - 7*i**3 - 5*i**3 + 3*i + l. Let a be n(-5). Let s(v) = v**2 + 8*v - 12. What is s(a)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10 is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1224 + b910?\nAnswer: 10b34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 + 10*u**2 - 16. What is the tens digit of q(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 7 = -3*o. What is the units digit of (-3)\/(o*3\/(-27))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 19086772?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 + 8*o**2 - 14*o - 4. Calculate s(-10).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-66)\/297*(168 + -172)\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 64 (base 8) to base 10\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - 3.9. Let m = -0.3 - a. Let d = m - -0.3. Which is greater: d or -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 647 + -643. Solve o*j + 4 = 5*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2058173\/4 or -514544?\nAnswer: -514544","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.168 and -16.20910372366.\nAnswer: -16.37710372366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -197 divided by 11\nAnswer: -197\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -3*j - 10. Is j <= -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*q - 2269 = -2298 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.50708 - 1.56182. Let w = -22.05 - -20. Let s = l - w. What is s rounded to three dps?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the third derivative of 3*s**5\/20 + 4*s**4\/3 - 90*s**2 - 10. Let t(y) = -10*y. Calculate t(l(u)).\nAnswer: -90*u**2 - 320*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 395 or 396?\nAnswer: 396","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 1, -4, -2.58, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 + 20*a + 35. Is 21 a factor of x(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 233437801 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -460\/7 + 312\/7*s - 1\/7*s**3 - 39\/7*s**2 = 0 for s.\nAnswer: -46, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-681)\/72*-4 + (-1)\/(-6). What is the common denominator of r\/171 + (-61)\/99 and -37\/9?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of -q**3\/3 - q**2\/2 - 29. Calculate c(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -631.321 times -0.1839?\nAnswer: 116.0999319","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/7)\/z**(-2\/15)*(z\/z**1)\/(z*z*z**(-3)))**(-1\/5) assuming z is positive.\nAnswer: z**(-104\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 - -20. Let r(j) be the second derivative of -4*j**4 + 3*j**4 + 4*j - g*j. Let i(p) = p**2. What is i(r(y))?\nAnswer: 144*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/(-36) - 2\/9. Let s = -1.7 + 1.5. What is the biggest value in t, s, -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = -1 + 6 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -5*v**2 + 52*v - 15. Let h be n(10). Solve b + 3*s + 21 = -3*b, -5*b - h*s - 30 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 + 14*d**2 - 6*d - 17. Let v be w(13). Let y = -59 + v. Suppose -q + 0*q = -4. Calculate the remainder when y is divided by q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -305*w**3 - 3*w**2 - 7*w - 5. What are the prime factors of c(-1)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30785452597 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 23*q + 88. Let v be l(12). Calculate the highest common factor of v and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 51\/7 - 139\/21. Let u = 61 - 60.7. What is the third biggest value in -3, -4, u, g?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 4*h + 17, -2*q = -3*h - 0*h + 13. Let j be (-227 + q)\/(2 + -3). Let p = j - -134. Round p to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44089 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: In base 16, what is -36 + 1553?\nAnswer: 151d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 - 55*u - 682. Let y be q(-36). Determine d, given that 1\/5*d**y + 4*d + 20 = 0.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 - 5*m + 3. Let t be k(5). Let n be (t\/(-2))\/(9\/(-24)). Let q be (0*(0\/35 - (-1)\/3))\/(-1). Solve 3*b - n = j, q = -5*j + b - 9 + 31 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 12325 + -3177. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + 18 + 14 + -15. What is the highest common factor of i and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 254400 and 1200.\nAnswer: 254400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -239 + 245. Solve -2*v + 0*v - m = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 975 and 20.\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1\/2, -2, -7?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*v - 5 = 4*y - 105*v, 0 = -3*y - 15*v + 117 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20 - -2001010?\nAnswer: 2001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -477 + -2589. Let n = -1066 - x. Suppose 5*b + 115 = n. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/5 (b) 4.28 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 396 is divided by 45.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 750 divided by -75.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 7741150 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 + 6*j + 3. Let o be p(6). What is the remainder when ((-37)\/(-6) + -6)\/((-2)\/(-12)) + 7 is divided by (30\/9)\/(2\/o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-10)\/(-104))\/((-775)\/(-1240))*1. Let j be (-1 - -2) + (2 - -1). Suppose -19 = -n + j*r - 8, -n - 2*r - 7 = 0. Is w <= n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (1 - 1) + -2 + -266 + 277.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = 3*p + 2*p. Is 446\/3*p\/16 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2. Let h(v) = 2957*v + 2 - 3 - 3444*v. What is h(k(n))?\nAnswer: 487*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -5*i**3 + 5*i**2. Let d = -27 - -48. Let a = 15 - d. Let s(b) = -9*b**3 + 9*b**2. Determine a*s(v) + 11*w(v).\nAnswer: -v**3 + v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 9 = -1, -2*z - 3*l = -18. Solve -t = z*r + 1, -r + 0 = t + 1 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1028 (b) 0 (c) 5 (d) -92 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.267 - -0.567. What is the second biggest value in j, 2\/3, 107, 2\/9?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -3*j**2\/4 - 81*j\/4 - 165\/2 = 0.\nAnswer: -22, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -258 = -5*u + 2*v, 2*u - 2*v + 1198 = 1306. Solve -26*i - u = -i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/330 and 51\/19756?\nAnswer: 296340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1987784 and -0.07.\nAnswer: -139144.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 8 - 2. Factor 3*f + p*f**2 + 139*f**3 + 0*f**2 - 2*f - 143*f**3.\nAnswer: -f*(f - 1)*(4*f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*b**2 - 8*b**2 + b**2 - 3*b**2 + 5*b**2.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 763*n + 1 - 7*n**2 - 765*n to the form j*n + q*n**2 + f and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5954 or 0?\nAnswer: 5954","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 217294, -2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -l*v**3 + 209*l*v + 36*v**3 - 2*v**2 wrt v?\nAnswer: -6*l + 216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 16, 2*u + 2*p = 3 + 15. Suppose -u*a + 21 = -h, -2 = -3*h + 4*a - 10. Put h, 0, -18 in ascending order.\nAnswer: -18, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -53363, -213387, -480101, -853505, -1333599, -1920383, -2613857?\nAnswer: -3414021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 5*t = -20. Solve -3*k + 2 = -4*k + v, 5*k + 3*v + t = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -g - 3. Let r(v) = 1. Let i(s) = -s**2 + 5*s + 5. Let q(d) = g*r(d) + i(d). Determine q(6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 1000*q**2. Let o(g) = 10*g**2 + 96. Let k(j) = 9*j**2 + 80. Let t(x) = 6*k(x) - 5*o(x). Calculate c(t(z)).\nAnswer: 16000*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3200 and 41460?\nAnswer: 6633600","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3340664 is divided by 45.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-4 + -3*(4 + -3*(sqrt(304)*5 - (sqrt(190)*1 + sqrt(190))\/sqrt(10)))**2).\nAnswer: -7776*sqrt(19) + 997584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 - ((-4)\/16)\/((-3)\/24). Solve -l - 2 + 1 = g for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence prcc when four letters picked without replacement from pcpporpvrpcppmpvcp.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 10*w**3 - 7*w**2 + 3*w - 3. Let o = 53 + -51. Let t(u) = -3*u**3 + 2*u**2 - u + 1. Give o*h(k) + 7*t(k).\nAnswer: -k**3 - k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 884?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9a1a6833 - 2?\nAnswer: 9a1a6831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pw when two letters picked without replacement from wppwwpwv?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-8)\/(-620))\/(6\/120). Let k = -925\/341 + j. Suppose -101*b + 9 = -104*b. Which is bigger: b or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 7*s**2 + 104*s + 9. Let a be x(-15). Suppose -5*h + a = 3*k - 8*h, k - 5*h = 28. Solve 3*t = -k + 12 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17670 divided by -6.\nAnswer: 2945","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = -4*s - 30, -a - s = -2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2*u - 14 = 0. Let l be (-3)\/(-4) - 42\/(-8). Let m = u - l. Solve 4*t + 0*t + 3*d + 6 = 0, 0 = -4*d + m for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43.7*32467.\nAnswer: -1418807.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8080039*a**3 + 5*a - 16160082*a**3 - 5*a + 8080041*a**3.\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/62, 0.2, -16, -1\/11, 5, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 438 + -447.32. Let u = -11 + -0.6. Let a = u - t. What is a rounded to one decimal place?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c**2\/3 + 2549176*c + 1218430927308 = 0. What is c?\nAnswer: -955941","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -156 divided by -39.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*1*(sqrt(500)*5 + -2 + sqrt(500)*-4*-5))**2.\nAnswer: -16000*sqrt(5) + 5000064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.642 + -348.358. Let o = q + 349.0333. What is o rounded to two decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b - 9. Let m = -6 - -16. What is the units digit of n(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*u = -29499 + 30374 for u.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -2*p. Let j(y) be the third derivative of 23*y**5\/20 + y**4\/12 + 2*y**2 + 26. What is j(q(k))?\nAnswer: 276*k**2 - 4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 4*q**2 - 8*q + 8. Calculate the remainder when 58 is divided by u(3).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.6 in 0.2, -2, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3988 (base 10) to base 2\nAnswer: 111110010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -16*s**3 + 2670812*s**2 + 3338536*s + 667708 = 0. Calculate s.\nAnswer: -1, -1\/4, 166927","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3 + 1870*h**2 + 436144*h - 438016.\nAnswer: 2*(h - 1)*(h + 464)*(h + 472)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/4 (b) -0.5 (c) 3\/7 (d) 8 (e) 3\/16 (f) 0.05\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, -7984226, -2\/3 in decreasing order.\nAnswer: 1\/5, -2\/3, -7984226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -383 - 1054. Let f = 3801\/8 + t. Suppose 3*s - 1 = 23. What is the common denominator of f and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/4 - 5\/6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = 4 + 12 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*s**4 - 141*s**2 - 2*s**4 + 142*s**2 + (2*s**3 + 0*s**2 + 0*s**2)*(-4*s + 0*s - s) + 0*s**4 - 5*s**4 + 4*s**4.\nAnswer: -26*s**4 + s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of -13*j**3\/3 + 6. Let r(w) = 3*w + 5. Let f(t) = 4*t + 6. Let m(n) = 5*f(n) - 6*r(n). Determine m(b(x)).\nAnswer: -26*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 46366887 to the nearest integer?\nAnswer: 359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -605, -1201, -1789, -2369?\n\"Answer: 4*z**2 - 608*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -x - 5, 0 = l + l - 5*x - 13. Is ((l\/(-8))\/(2\/508))\/(-1) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -392, -479, -616, -803, -1040, -1327?\nAnswer: -1664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 49*i - 239. Let k be q(5). Suppose k*r - 697 = 1103. List the prime factors of r.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5384 and 560.\nAnswer: 376880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p + 6*p - c = -250, -3*p = -3*c - 195. What are the prime factors of p?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16690195.\nAnswer: 5, 3338039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*o**3*w - 12*o**3 - o*w - o*z - 418*w*z with respect to o.\nAnswer: 9*o**2*w - 36*o**2 - w - z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 0.08.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 213749\/12 + -17800. What is the common denominator of b and (-30)\/(-10)*14\/(-180)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.21276 or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*i = 35*i. Solve -11*y + i*y = -33 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*a + 6 - 20 + 11 in the form w*a + b and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q + 14*q - 8*q + 14*q. Let j(x) be the second derivative of -6*x + 0*x**2 + 1\/3*x**3 + 0. Determine z(j(p)).\nAnswer: 38*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -321, 0, -1, 1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 3 h when four letters picked without replacement from hihptpdtitihhph.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -825.86153 rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (15 - 1)\/(-4 + 2). Let q(o) = 2*o + 12. Let k be q(b). Let x(w) = w - 3. Let a(z) = z. Let m(n) = -6*a(n) + x(n). Determine m(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -2*g**4 + 1020*g**3 + 68094*g**2 - 50526720*g - 4907630592 = 0.\nAnswer: -129, 384","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*q - 584 + 501 = 813 for q.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6273, -6256, -6215, -6138, -6013, -5828, -5571, -5230?\nAnswer: -4793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3696802844*p - 3696802844*p - 3*p**3 - p**3.\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, x: 2, y: 2}. What is prob of picking 1 y, 1 k, and 1 x?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5610, 5611, 5612, 5613?\nAnswer: 5614","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -33*k**2 - 258*k - 18. Calculate the remainder when y(-7) is divided by 54.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16740\/12090)\/(6\/26).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.047502 * -0.00399.\nAnswer: -0.00018953298","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 152827*v + 183596 wrt v?\nAnswer: 152827","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a millennium in decades?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 106*i. Let r(m) = 10*m**2 - 5. Give p(r(l)).\nAnswer: 1060*l**2 - 530","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30.79 - 4.3708. Let n = a - 26.5. What is n rounded to two decimal places?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/4 - (-1243)\/(-308) and 3\/8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (119\/4165)\/((-4)\/20).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 3)*(6*t**2 - 14*t + 14*t).\nAnswer: 18*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 5) to base 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -19, -112, -369, -874, -1711, -2964?\n\"Answer: -14*k**3 + 2*k**2 - k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 + 1. Let v(y) = -34*y**3 - 29*y - 1. Let b(n) = -k(n) - v(n). What is the second derivative of b(m) wrt m?\nAnswer: 198*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2519228709.\nAnswer: 3, 23, 79, 17117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 158 + 22)*(3*x - 5*x - x)*(-3*x + 4*x + 2*x).\nAnswer: -1656*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 15 = 0, 0 = z - 3*h + 5 - 22. Let c(r) = 11*r**2 - 3*r + 4. What are the prime factors of c(z)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**5 + 41136*u**4 - 411554*u**3 + 123656*u**2 + 3868824*u + 3292480 = 0. What is u?\nAnswer: -20578, -2, -1, 5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 27624 and 120.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 72846985 to the nearest integer?\nAnswer: 418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -166, -113, -24, 101, 262?\n\"Answer: 18*p**2 - p - 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*19\/4332*8.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2. Let o be 3*2\/18*-3. Let n(w) = -5*w**2 + 2*w + 1. Let a(y) = o*n(y) - 3*d(y). Determine a(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6283 at most as big as 6211?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*q**4\/5 + 836*q**3\/5 + 26998*q**2\/5 - 29436*q\/5 - 55584\/5 = 0. What is q?\nAnswer: -24, -1, 2, 579\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 + 10. Let y = -392 + 468. Calculate the remainder when y is divided by v.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 AM and 1:27 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 54255 to the power of 1\/2, to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 516 + -514. Sort -0.1, 7, n, 4 in increasing order.\nAnswer: -0.1, n, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27.6 - 28. Sort j, 2\/13, 1 in increasing order.\nAnswer: j, 2\/13, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*j - 483 + 527. Solve j*l - q = -2 - 2, 0 = -4*l - 4*q - 4 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -3*t**2 - 10*t - 28. Let w(g) = 16*g**2 + 51*g + 142. Let m(l) = -2*w(l) - 11*x(l). Let h be m(-5). Sort -3, 0, h in increasing order.\nAnswer: -3, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 925269929 to the power of 1\/2, to the nearest integer?\nAnswer: 30418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 829?\nAnswer: 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 58912?\nAnswer: 2, 7, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4030000 rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 28\/7 + 6\/2. Let g = z + -5. Suppose -8 + 4 = -g*j. Sort j, 3, -1\/3 in descending order.\nAnswer: 3, j, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94417830.\nAnswer: 2, 3, 5, 13, 17, 47, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 40 + 5. Suppose -17 = -d*j + 2790. What is j rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -363919, -727208, -1090481, -1453732, -1816955, -2180144, -2543293, -2906396?\n\"Answer: p**3 + 2*p**2 - 363302*p - 620","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ninvvvkki. What is prob of sequence kv?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110 + -1000100110110?\nAnswer: -1000100110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*q = 10*q - 8 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l**2 + 16*l + 9. Let y be i(-11). What is the greatest common divisor of y and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + -103185?\nAnswer: -103185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1128000 and 2112?\nAnswer: 12408000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-78) - 32\/(-624)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 303 is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 12 + 158 = 0. Let y = 63 - w. Let d = y + -27. What is the least common multiple of d and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 - 3*x**2 + 2*x. Let q(r) = r**2 + 3*r - 2. Let g be q(-4). Let a be -6*((-8)\/(-3) - g). What is the units digit of t(a)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*i**(-5))\/i)\/i)**(1\/69)\/(i**(-1\/6)*i)**(-24\/7) assuming i is positive.\nAnswer: i**(446\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1961*n**3*q**4 - 5*n**3*q**2 + n**3 - 124*n**2*q**5 - 6*n**2*q + 3*n - 29*q**2 wrt q.\nAnswer: -47064*n**3*q - 7440*n**2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*k + 3*l - 30, 4*k - 2*l + 0 = 2 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u - 3. Let v be r(4). Let m(b) = -3*b - 5. Let l be m(v). Let f be l\/(-5) - (-2 + 4). What is the greatest common divisor of f and 22?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.084 times 0.4?\nAnswer: 0.8336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of -u**6\/120 + u**5\/15 + u**4\/6 - u**3 + 4*u**2 + 113*u. Suppose -4*f - 16 = -4*d, -4*d + 0*f + 16 = 5*f. What is r(d)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 22034*y + 2. Let b(k) = -k**2 + 128*k. Give f(b(i)).\nAnswer: -22034*i**2 + 2820352*i + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(1\/2))**(-31))**(2\/13)\/(z**(-2\/11)*z*z*z**5\/z*z*(z**(-1)*z*z)**(-29)) assuming z is positive.\nAnswer: z**(2831\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*w + w + 2*w + (-1 + 3 + 1)*(0 + 2*w + 0))*(1 + 4 - 3)*(-4 + 43 - 7).\nAnswer: 256*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 + 11*l**2 + 17*l + 15. What is the tens digit of f(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.34, -1, -2, 1\/7, -4, 2\/373?\nAnswer: 0.34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 3*m = -0*m - 307, 0 = -j + 5*m + 147. Let u = j + -7. List the prime factors of u.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 106140*l + 636829. What is s(-6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Put 6, 4, -3, 2, 65, 67, 3 in increasing order.\nAnswer: -3, 2, 3, 4, 6, 65, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 793 + -754. Are 40 and h unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 142 + 1022 = 6*t. What are the prime factors of t?\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -5*(-1 + sqrt(7)) + (sqrt(252) + (sqrt(252) - (sqrt(252) + 0 + sqrt(252))*2))**2.\nAnswer: -5*sqrt(7) + 1012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 147047 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 0*k - 55 = -4*k, -x = -k + 12. Let v = 12 + x. List the prime factors of v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17\/7 in -8, -10\/23, -536, 0.2, -0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1758728111 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17022573 is divided by 782?\nAnswer: 779","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p - 515898*t + 515902*t = -10, -7*t = -p + 7 - 3 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**3 - s**2 - s**2 - s**2 + 2 + 2*s. Let h be t(2). Suppose 4*z + h*n = 1 - 3, 0 = -4*n - 20. What is the smallest common multiple of z and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -253, 0.1, -1\/27, 5.2?\nAnswer: -253","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*-1.22.\nAnswer: -10.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/l**(-13))*l\/l**(-12))\/(l**(-2\/23)\/l*((((l*((l\/l**(1\/2))\/l)\/l)\/l)\/l*l)\/l)\/l*l) assuming l is positive.\nAnswer: l**(165\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/1136, -0.2, -5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152454857.\nAnswer: 152454857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 118*h**2 + 8*h**2 + 5.\nAnswer: -110*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -110342 - 43009 + 1880*x - 23369 - 5*x**2.\nAnswer: -5*(x - 188)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 515612?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (-1 - -6) - ((17 - 4) + -6)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -43 - -48. Let v(y) be the third derivative of -y**2 + 0*y + 2\/3*y**3 + 0 + 0*y**4 - 1\/60*y**h. What is v(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ululellul. What is prob of picking 3 l?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3783829 divided by 47.\nAnswer: 80507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 4*j + z + 465, z + 1401 = 3*j. Calculate the greatest common divisor of 36 and j.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -827\/3, 4, -2\/11, -0.4, -16 in decreasing order.\nAnswer: 4, -2\/11, -0.4, -16, -827\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 537 - 36 = 4*k, -3*i + 2*k + 283 = 0. What is the remainder when 534 is divided by i?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 - -58. Let g = 298 + i. Is g a multiple of 69?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*p - p + 0*p)*(0 - 3 + 0)*(p**2 - p + p).\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 + (11 - 2 - -10).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 122314030 (base 5) to base 14.\nAnswer: 11473a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 123759, 247512, 371265?\nAnswer: 495018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1029 and (78 + -84)\/(1\/(-7) - 0)?\nAnswer: 2058","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.04621 - -150.04621. Which is the second smallest value? (a) -1\/2 (b) n (c) -0.4 (d) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -146.68 + 141. Round b to one decimal place.\nAnswer: -5.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 795 + -788. What is the greatest common divisor of 973 and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from crcc?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 292, 98, -658, -1976, -3856, -6298, -9302?\n\"Answer: -281*j**2 + 649*j - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2903395622?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.857 - -1.357. Let v = 9 - 8.7. Put 2\/3, v, -26, m in increasing order.\nAnswer: -26, m, v, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 46604 and 3538?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 + 0 = -2*u. Suppose -22*d + u*d - 856 = 0. Let s = -44 - d. Does 7 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 279 - 315. Let a be (116\/(-8) - 2)*r\/63. Factor -a*s**2 - 27\/7 + 24\/7*s**3 + 72\/7*s - 3\/7*s**4.\nAnswer: -3*(s - 3)**2*(s - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -5*n + 118625, -w + 33507 = 3*n + 9770. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 96, 3 in decreasing order.\nAnswer: 96, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(-5\/8))\/(h\/((h**(-18)*h)\/h)*h))**32)**(17\/2) assuming h is positive.\nAnswer: h**(-5338)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 39 = 5*n, 4*n - 14 = 2*n + 2*b. What is the second derivative of 2*a - n*a**5 - 2*a - 2*a - 2*a wrt a?\nAnswer: -180*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r - 1 + 1 + (r - r - r)*(-44 + 2 + 3) - 6*r - r + 3*r + 15 - 15 + 19*r to the form i*r + t and give i.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/9 - 5*c\/3 + 6.\nAnswer: -(c - 3)*(c + 18)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 3*m + 39 = 0, -2*q + 2*m + 14 = 2*q. Suppose 0*j = 3*j - q. Suppose j*y - 5*y = -90. Is y a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2022 is divided by 43?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 5*j - 139 = -1, -g - 5*j = -26. Calculate the greatest common divisor of g and 1099.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - -1200?\nAnswer: 1122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/(-30)*(429\/7865)\/(((-108)\/(-15))\/4).\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 1369*d + 8. Determine m(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7438, -7657, -7860, -8035, -8170?\nAnswer: -8253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t - 19*t + 10*t + 8*t - 10 to n*t + j and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011001 (base 3) to base 16.\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 371 - 262. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3087744 is divided by 192984.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21608?\nAnswer: 2, 37, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9 + 2435619?\nAnswer: 2435610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*j = 45*j + 185 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/g**8*g*g)\/(g*g**(-7\/6)*g) assuming g is positive.\nAnswer: g**(-29\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 16*z - 179. Let l(u) = 2*u**2. Give l(n(c)).\nAnswer: 512*c**2 - 11456*c + 64082","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18467 + 2*a + 18467.\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of 29*x**6\/40 - 29*x**5\/30 - 12*x**2 + 6. Find the third derivative of i(o) wrt o.\nAnswer: 522","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-18)\/(-315))\/((-8)\/(-10)). Is c greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 10549, -3.\nAnswer: -5, -3, 10549","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -20147104 (base 8) to base 13\nAnswer: -b591a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p = 2*p - 18. Solve 5*y + 22 = 3*x, -p*y + 7*y + 2 = -2*x for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/(-1) + 2 - -6. Let m(v) = -a*v**2 + 3*v**2 + 2*v**2 - v**2. Let x(k) = 43*k**2. Determine x(m(h)).\nAnswer: 172*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) 0 (c) 2\/5 (d) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - 4 - (0 - -2) - -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -107 + 54. Let y = p + 51. Let l(u) = u**3 + 4*u**2 - u. What is l(y)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-55)\/(-20) + (-2)\/(-8). Let i = 12715 + -12715. Let q = -1 + -3. Put q, -0.5, i, c in descending order.\nAnswer: c, i, -0.5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**2 + 0*q**2 - 4*q**4)*(1 - 1 - 1).\nAnswer: 4*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9241766 is divided by 1559.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*l - l - 2550. Does 17 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3271 + -583. Does 12 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69 - 174 = 35*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1303 (base 5) to base 3\nAnswer: 21112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(2) - 1*sqrt(288)).\nAnswer: 44*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 492?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of f**3 - 3*f**2 - 9*f - 814. Factor s(k).\nAnswer: 3*(k - 3)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/17752 and -127\/13229678.\nAnswer: 52918712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 6\/(-18)) + 3\/(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-37 + -15 - -56) + 11\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001523 to 7 dps.\nAnswer: 0.0000152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-3) + (1446\/540 - 2). Let f = o + 7\/45. Let d = -6.7 + 7. Which is greater: d or f?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -29 + 1?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + 0*j + j)*(2*j**3 + 2 - 2) + (12 - 3*j**2 - 12)*(0 - 3*j + 0)*(-4*j + 1 - 1).\nAnswer: -38*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 152 divide 27809146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6.4657892 and -5.\nAnswer: -32.328946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -24*z + 293. What is c(12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 2*v - 354, 4*u - 7 = -31. Calculate the greatest common factor of v and 17160.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 727581 by -17.\nAnswer: -727581\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*a - 116408 = -4*x + 82*a, -116405 = -4*x - a. What is the remainder when x is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*f = 568 + 456 - 100 for f.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 8*r + 19. Let g(n) = 17*n + 37. What is 6*g(k) - 13*y(k)?\nAnswer: -2*k - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 216020 and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*n**3\/15 - 1948*n**2\/15 + 778*n\/3 - 648\/5 = 0. What is n?\nAnswer: 1, 972","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3176280 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-4)*(-18)\/(-15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 80 and 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 208*z. Let n be o(0). Let n - 1\/4*x**3 - 1\/4*x**2 + 0*x + 1\/4*x**4 + 1\/4*x**5 = 0. What is x?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 AM and 7:57 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**7\/(d**(-2\/9)*d)*(d**0)**(-21))\/((d**(-1\/3)*d)**(2\/55))**(-7\/3) assuming d is positive.\nAnswer: d**(1036\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40826509 divided by 6.\nAnswer: 40826509\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/(o**(-10)\/o))**(-27) assuming o is positive.\nAnswer: o**(-351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/607920 and -83\/3278.\nAnswer: 6687120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -6*y**2 + 16*y - 14*y - 9*y**3 - 3*y**3. Let p(i) = -13*i**3 - 7*i**2 + i. Let b(q) = 6*p(q) - 7*z(q). What is the second derivative of b(r) wrt r?\nAnswer: 36*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of 0*c - 2\/1155*c**7 + 5 - 2*c**2 - 1\/660*c**6 + 0*c**5 + 0*c**3 + 0*c**4 - 1\/1848*c**8. Suppose v(m) = 0. What is m?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = 5*r - 3*h, -13 - 3 = -3*r + 2*h for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -44*n**2 - 48 - 2\/3*n**4 + 10*n**3 + 232\/3*n.\nAnswer: -2*(n - 9)*(n - 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5901b (base 13) to base 7\nAnswer: 1245026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -242025 + 608811. Suppose -s - 2*s + 5*m + 204771 = 0, 2*s - 4*m = 136512. Let d = s + n. What is d rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -350*g + 22573. What is n(73)?\nAnswer: -2977","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-864)\/(-48) - 4*4. Let q(s) = -1 + 2*s**2 + 0*s**2 + 3*s + 3*s**2. What is q(j)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.045 times 4.1346\nAnswer: 0.186057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25652 is divided by 31?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 629698 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 93 + -91. Put d, -1, -2 in decreasing order.\nAnswer: d, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2 + 4 - (3 + -1). Suppose l + 4 = -b*l. Let i be (20 - 13 - 8)\/(1\/(-2)). Put l, i, 0 in decreasing order.\nAnswer: i, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2369564, -4739138, -7108712, -9478286, -11847860?\nAnswer: -14217434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 314762?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) be the second derivative of -m**6\/180 + 7*m**5\/60 - m**4\/4 - 13*m**3\/6 - 14*m. Let o(y) be the second derivative of c(y). Is 2 a factor of o(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -5\/6 (b) -3\/10 (c) -60 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l\/l**(-6)))\/l)\/l*l*l\/((((l\/(l**(1\/2)*l*l))\/l)\/l)\/l))**(-2\/7)*(l*l**(2\/11))\/(l*l**(3\/2)*l*l)*(l**5\/l)\/l**2 assuming l is positive.\nAnswer: l**(-137\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2355*z**3 + 2272*z**3 - 4226*z**3 + (-z - 2*z + 4*z)*(z**2 - z + z) - 2*z**3 + z**3 + 8*z**3.\nAnswer: 409*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 26759000 rounded to the nearest 1000000?\nAnswer: 27000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.027 and -460.59.\nAnswer: -460.617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5016 - 8*b + 5087 - b**2 - 10103.\nAnswer: -b**2 - 8*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-162)\/21 + -1*20\/70.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-694 - 924 + 371)*(-2 + 3 - 2 + (-2 - 2 + 3)*(-5 + 4 + 2) + 3 - 2 - 2 + 1 + 3 - 3)*(-4 + 4 - 2*b).\nAnswer: -4988*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 j when three letters picked without replacement from jjaujljwlaju?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, 32, -5, -1\/2, 5, -15\/56?\nAnswer: -15\/56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.0526 + -0.9474. What is the closest to -247 in 0.1, o, 2\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(48\/(-12))*3\/(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18.4 - -18.43. Suppose 3*u + 16 = g - 0*g, u + 7 = 2*g. Which is the third smallest value? (a) u (b) 0.5 (c) p (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -2*j + 3 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d**2 + 24*d - 16. Let a be r(-13). Let s be 8\/36 + 32\/18. Let t be s*2 + 8\/(-4). What is the greatest common factor of a and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (41 - (30 - -23)) + (2 - 0)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 5 + 6)*(6 - 6 + 5*q - 4*q - q + 4*q + (5 - 1 - 3)*(0*q + 2*q - 4*q)).\nAnswer: 10*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -52\/7? (a) -41 (b) 0.11 (c) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -4, 1, 22, -24 in descending order.\nAnswer: 22, 10, 1, -4, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 746*u**2 + 676*u**2 - 1415*u**2. Let q(n) = 3*n - 527. Give q(x(j)).\nAnswer: 21*j**2 - 527","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -13, 82, -28, -10 in descending order.\nAnswer: 82, 8, -10, -13, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 5, 2\/9, -11?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 555\/(-135) + 4 - (-88)\/(-18)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f\/(f**(-1\/2)\/f)*f*f\/f**(-1\/2) assuming f is positive.\nAnswer: f**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/1980 and 1\/291697560?\nAnswer: 291697560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2396338\/210 - (-4)\/(-30) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of -31*c**5\/20 + 2*c**4\/3 - 9*c. What is the third derivative of j(b) wrt b?\nAnswer: -186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3541 - -8?\nAnswer: 3550","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001 - -1011111010000010001?\nAnswer: 1011111010000011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(612)*1 + sqrt(136)\/sqrt(128) - -5*3*sqrt(153).\nAnswer: 205*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 33809929 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 3 = 5*r - 13, 0 = r + 4*i - 2. Solve d + 1 = -r for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -33*p - 55. Let l(b) = 66*b + 104. Let r(d) = -6*l(d) - 10*x(d). What is the remainder when r(-12) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 0*x + 21 = -2*x, -1155 = 43*p - 40*p + 5*x - 1150 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 510\/(-195)*10 + 26\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 72*u**2 - 286*u + 284. Let w be a(1). Solve 78*g = w*g + 64 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*a**3*m + 332854285*a**3 - 2*a**2*m + 5630166*a**2 + 15*a wrt a?\nAnswer: -12*m + 1997125710","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2 - 7*u - 295. What is v(-14)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -2*c + 5, -3*x - 4*c - 17 = -9*c. What is the units digit of (-6)\/x - 31\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3254 - -5018. Suppose 0 = -554*l + 555*l - w. List the prime factors of l.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r + 0*r - 2088 - 46.\nAnswer: r - 2134","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i - i + 0*i)*(76*i - 71*i + 0*i**2 - 7*i**2 + (0*i + 3*i - 4*i)*(-2*i - 3*i + 4*i) - i**2 - 4*i**2 + 6*i**2).\nAnswer: 10*i**3 - 10*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cclcccsccslccsccc. What is prob of sequence scc?\nAnswer: 33\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 3 + 1)*(-2*j**2 - 2*j + 2*j) + (23 + 6*j - 23)*(304 - 48*j - 304) + j**2 + 4*j**2 - 4*j**2.\nAnswer: -295*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -216206 (base 7) in base 13?\nAnswer: -144b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 42\/11 and 161\/20196.\nAnswer: 20196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39, -74, -85, -60, 13?\nAnswer: 146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from myvvsvmvsvymy. Give prob of picking 1 s and 2 y.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) -3 (c) -15 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - z = -0 + 5, 2*z = -3*b - 10. Let c(m) = 195*m**2 + m**3 + 4 + 187*m**2 - 570*m**2 - 2*m + 189*m**2. Calculate c(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2604)\/(-8184)*12\/7?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-7)\/(70\/8)*75\/(-10)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -251 - -147. Round x to the nearest 10.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -7*(456\/665 - (-4)\/(-10)). Let l(x) = -180*x**3 - 3*x**2 - 4*x - 7. What are the prime factors of l(w)?\nAnswer: 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x + 3. Let z be a(-6). Suppose 0 = 2*i - 3*o - 4, 4*i - o + 4*o + 28 = 0. Put z, i, 4 in decreasing order.\nAnswer: 4, z, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5 - 20)*((-2)\/(-3) + -1). Suppose 3*g = -3*h + 708, -492 = -2*h - g + 4*g. What is the units digit of h\/25 - 3\/p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k - 2. Let u be s(-6). Let w(p) = -p**3 + 4*p**2 + p + 2. What is the least common multiple of w(u) and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 25768333?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/3 (b) -0.1 (c) -3 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1156259.\nAnswer: 13, 29, 3067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (-498)\/(-12)*(-38 + 160) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -166878*h + h**2 - 22 + 166933*h + 27 as l + u*h**2 + t*h and give t.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 15175 - 148958 = -3*k, 2*g = 2*k + 109414. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*h**2 + 14*h - 5*h**5 + h**2 - 9*h**2 wrt h?\nAnswer: -100*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 154 is divided by 24?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 4*h = 37, -f + 55 = 4*f - 5*h. Let d be (0 - -4) + f + -16. Sort d, 0.4, -5 in descending order.\nAnswer: 0.4, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*x, -i + 3*x + 2 = -x. Let s be i\/(-11) + 48\/(-22). Calculate the common denominator of -117\/20 and s\/8 + 835\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2743 + 7796. What is the thousands digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9476230*j**3*q + 591*j**2*q + 1368*j**2 wrt j?\nAnswer: -56857380*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1570045537?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 3*u**2 + 91*u + 417. What is a(-5)?\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 749 + 3567*m**2 - 1272962*m - 1272959*m + 2545920*m wrt m?\nAnswer: 7134","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*o - 9*o + 29*o)*(0*o - 2*o - o)*(-9 - 3 - 29) to the form h + z*o**2 + b*o and give z.\nAnswer: 2214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -3*r**5\/4 + 168*r**4 + 1941*r**3 - 1005*r**2\/2 - 24609*r\/4 - 7755\/2 = 0.\nAnswer: -11, -1, 2, 235","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, 263, 694, 1299, 2078?\nAnswer: 3031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -106 - -106.3. What is the smallest value in n, -2\/47, 1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of -q**6\/60 - q**5\/30 - 5*q**2. What is the third derivative of d(b) wrt b?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -16409 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 4*p = 4*c, -c - 2*p = 0. Solve 2*a + 1 = 2*k - 3, c = -4*a - 4*k - 24 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7650 - 7904. Which is smaller: -264 or i?\nAnswer: -264","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirty-three fifths of a millimeter?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-28)\/v*v**(-1\/4)*v*(v**23\/v)**(-30))**(-2\/65) assuming v is positive.\nAnswer: v**(2749\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tit when three letters picked without replacement from ntnttmnmhttntnnti?\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3925 in -0.072, -3, -8, 3, 0.1?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1699852953 to the nearest integer?\nAnswer: 1193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2512 and 63354?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-21) - (111 + (-1663181)\/14973)?\nAnswer: 4\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*h + 4*w + 1 + 3, -16 = -4*w for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.0251 - 3.9749. What is the fourth smallest value in 2\/13, -3, 82, -0.1, v?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -0.047696.\nAnswer: 0.23848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6543727136 to the power of 1\/3, to the nearest integer?\nAnswer: 1870","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1574 times -2?\nAnswer: -3148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pjjjtjpwwtpspsstssj. What is prob of picking 1 w, 1 s, and 1 j?\nAnswer: 50\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5890178 + 3?\nAnswer: -5890175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + -1. Let g(i) = -10 + 17 - 2*i**2 - 8 + i - i. Determine g(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-19 + (-2881)\/(-134))\/((-10)\/(-18))\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 42 = -4*g, -865*p + 869*p - 8*g = 5*g + 129 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -188*p**2 - 13*p + 13. Determine n(1).\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of ((-2)\/(-3))\/(80\/1080) and 66.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 493783 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - 2)\/((-27)\/36). Suppose p*g = -g + 110. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -540, 2, -47, -9.\nAnswer: -540, -47, -9, -7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m + 2. Let u be w(-5). Solve -3*q + 8 = -u for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*p + 407 = -51*p - 115 for p.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 2*b + 6. Determine p(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.2654 times -0.4\nAnswer: 0.10616","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1720 and 3440?\nAnswer: 3440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 28506995*r*y**3 - 6*r*y**2 - 119547*y**2 wrt y.\nAnswer: 171041970*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(11)*-1)**2 + (sqrt(66)\/sqrt(3))\/sqrt(2).\nAnswer: 3*sqrt(11) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18870 = 16*y - 64074. Is y a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qy when two letters picked without replacement from bqabyyt?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 11, y: 3}. Give prob of picking 2 r.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 180\/(-18) + 7 + 5*29. Let p(j) = 11*j - 2. Let h be p(4). Suppose -h = 4*a - z. Solve -a = -6*m + m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 111.83 + -10.43. Let u = 198 - v. Round u to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 191253647?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 - 3*t. Let u be h(3). Suppose -y - 2*y + 12 = u. Suppose 0 = y*r - 5 - 11. Let b(w) = w + 2. Calculate b(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w - 446 + 5*w + 446.\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 1\/4*k**4 + 1 - 3*k - 3\/2*k**3 + 13\/4*k**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1560 times -2.11777\nAnswer: 3303.7212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -6*z - 113. Let u be s(-22). Let o = 14 + u. Is o a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is b634 - -3050a?\nAnswer: 3bb42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -399 + (-2 - 2 - -4). Let y be (-7)\/21 - w\/9. Let o be y\/(-55) + 1058\/10. Calculate the highest common divisor of o and 21.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -4*d - 28946424. Let v = -4016194 - -1865002. Let o = v + d. What is o rounded to the nearest 1000000?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 123\/719066?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of -2*w**2 + 0*w + 54 + w**4 - 2\/3*w**3 + 2\/5*w**5. Determine f so that l(f) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -84 and -0.690148019394.\nAnswer: -84.690148019394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45717 divided by 2177.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.48 + 0.18. Let r(u) = u**2 + 14*u + 12. Let w be r(-13). Which is the nearest to w? (a) -4 (b) 0.4 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1341*u - 4373*u + 47855 = -32949 + 14100 for u.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the third derivative of -1319*p**4\/24 + 947*p**3\/6 + 78*p**2 - 4. What is the first derivative of w(z) wrt z?\nAnswer: -1319","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*n**3 + 6*n**3 - 6*n**3.\nAnswer: 5*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*v**6 + 2*v**4 - 94*v**3 + 103*v**2 - 17 wrt v?\nAnswer: -360*v**3 + 48*v - 564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 - 6*h**2 - 4*h + 4. Let q be x(-5). Let l be 1*12\/(q\/(-1)). Let j = 205 + -109. Calculate the greatest common factor of j and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3324, -6624, -9924?\n\"Answer: -3300*n - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-6))**(-37)*(x**(-3\/22))**25 assuming x is positive.\nAnswer: x**(4809\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (0 - (-1 - -6)) - (769 + -838)\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -51 - -55. Let w be (17\/(-3) - -3)*(-6)\/c. Let q be 244\/16 - 1\/w. Solve 0 = t + o + o + q, 5*t - 5*o = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -20. Calculate the highest common divisor of m and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**0)**10\/(p**16*p**6\/p*p*p) assuming p is positive.\nAnswer: p**(-23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 11\/2 of a day?\nAnswer: 7920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 309 + -221. Suppose 3*i + 31 = y, 105 = 5*y - 2*i - 11. What is the highest common divisor of b and y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 240*a + 62. Give o(0).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 45340.96 take away -0.0502249?\nAnswer: 45341.0102249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -4910 + 4510. Calculate the remainder when 422 is divided by s.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(3)*1)**2 - 3*sqrt(21)\/sqrt(7) - (sqrt(3267) + -4*(1 + sqrt(3267) + sqrt(3267))**2).\nAnswer: 496*sqrt(3) + 52283","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 67.52 and 0.016.\nAnswer: 67.536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -3*u - 9, -3*u = -8*u + 3*p + 4. Let b be -6 - (-5 + (u - 4)). Find z such that 0 + 0*z + 0*z**3 + 2\/5*z**2 - 2\/5*z**b = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -2\/19, -0.5, -387, -5 in descending order.\nAnswer: -2\/19, -2\/7, -0.5, -5, -387","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*c**4 - 4*c**4 + 8*c**4)*(3*c + c - 2*c).\nAnswer: 18*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-20))\/((-5551)\/1105 - -5)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 12 = p, 0*p = 2*s + p - 9. Suppose a = s*a, 2*a = -3*q. Suppose q = 5*l - 87 - 1598. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104008 = -44*o + 42028. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 0 + ((-3)\/171*-130 - 3) and 58\/7.\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -0.271, 1\/3, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 - (23 + 18 + -9 + -2)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -344320 + -527891. Let h = 872222.10077 + l. Let n = h + -11.1. Round n to four decimal places.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4339 is divided by 1277?\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of -1\/36*t**4 + 1\/504*t**8 - 1\/90*t**7 + 0*t**3 + 1\/180*t**5 + 0*t + 1\/60*t**6 + 8*t**2 + 0. Find g, given that f(g) = 0.\nAnswer: -1\/2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -867 (b) -3\/4 (c) 0.8 (d) 2 (e) 9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -295 at most as big as -155?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -15670.8 times 146?\nAnswer: -2287936.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 6982?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 40, 1964, 29 in ascending order.\nAnswer: 29, 40, 1964","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 158 a factor of 3457466373?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/3*(1\/(-11))\/(207\/759)\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-30222)\/230)\/((-2)\/(-10)). Let w = h + 659. Solve w*u = -9 - 1 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7809.724 litres?\nAnswer: 7809724","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -27*v - 53. Let k(d) = -d + 1. Let h(x) = 4*k(x) + z(x). Find the first derivative of h(r) wrt r.\nAnswer: -31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -87 * 6\nAnswer: -522","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/110762041 and 37\/51120942?\nAnswer: 664572246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.66751 to 2 dps.\nAnswer: 1.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-66)\/(-99)*(-9)\/(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 141*g - 135*g - 9348. What is the highest common divisor of 38 and g?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14865885*u**6 - 5707914*u**2 + 3.\nAnswer: -1783906200*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(r**(-19\/3)\/r)*r*r*r**(3\/19)*(r*r**18)**(-34) assuming r is positive.\nAnswer: r**(-36224\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 57503 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000045959 rounded to six decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -293, -449, -615, -797, -1001, -1233?\nAnswer: -1499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3\/4)*x*x**2)\/(((x\/((x\/(x\/(x\/(x\/x**(-2\/5))*x)))\/x))\/x)\/x**6)*(x\/x**2*x**3)**(-4\/13) assuming x is positive.\nAnswer: x**(1881\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 + 296 = 33*g - 46. Calculate the remainder when 23464 is divided by g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, 5, -223, 86, -12 in ascending order.\nAnswer: -223, -12, 5, 19, 86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 380526 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/1386 and -2\/27?\nAnswer: 4158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -167 + 156. What are the prime factors of (1 - k)\/(((-26)\/(-36))\/13)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -5*q**3 - q**2 + 2*q - 1. Let b be ((-3)\/9)\/((-1)\/12). Suppose -b*l - 2 = -g - 7, -4*g = -5*l + 9. What is j(l)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8*24\/256*448\/126\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-1)*82\/(-246)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 718205900?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 5 = 0, 4*i + 82*x - 78*x - 8 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 - f + 5. Let b be p(0). Let l = 9 - b. Suppose 0 = -2*s + 10, 3*i = 2*s + 5. Solve 2*r - 11 = -i*y, r - l*r = 3*y - 3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y**(-8)))\/y*(y**(-13)\/y)\/y*y*y)**20\/(y**(-3)\/(y*y**10))**46 assuming y is positive.\nAnswer: y**524","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 + 5*f + 3. What is s(6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 + 3*n - 3. Let l be a(1). Are l and 3\/23 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 348768, 348765, 348762, 348759, 348756, 348753?\nAnswer: 348750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 113442 (base 6) to base 9\nAnswer: 14508","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4 - -61)*2\/(-5). Let z be -1*17*(24 + f). Suppose -201 = -5*q + z. What is the remainder when q is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -171*l*n**5 - 292*l*n - n**5 - 33*n**3 + 20*n**2 wrt n?\nAnswer: -10260*l*n**2 - 60*n**2 - 198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2034410?\nAnswer: 2, 5, 7, 29063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2234.802 rounded to the nearest integer?\nAnswer: -2235","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -122646 (base 7) to base 3.\nAnswer: -1011000220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 99, 96, 91, 84, 75?\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/45 of a week in minutes?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -78 + 75. Let n be 4\/(-14) - (-320)\/140. Sort y, -2, n in increasing order.\nAnswer: y, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) 1\/34 (b) -0.1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 12, x: 6}. Give prob of picking 2 w.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q - 22 + 30. Let l be (-1760)\/(-112) - q\/7. Calculate the greatest common factor of l and 144.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (34 - 37) + 27 - 25?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2 and 5643?\nAnswer: 5645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 144, 156, 180, 222, 288, 384, 516, 690?\n\"Answer: b**3 + 5*b + 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 2 + 0)*(0*p - p + 0*p) + 3 - 3 + 2*p + 3 - 3 - 2*p + (-4 + 0 + 3)*(-2*p - 4*p + 3*p) - 2*p + 4*p + 0*p)*(-14*p - p**2 + 4*p**2 + 13*p + 2*p**3).\nAnswer: 12*p**4 + 18*p**3 - 6*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 168 is divided by 29.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 4*d - 57, -4*d - 2*u + 64 - 2 = 0. Calculate the remainder when 33 is divided by d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 - (67 + -42 + 29).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1574 - -225. What is w rounded to the nearest 100?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2040235 and 7699.\nAnswer: 2040235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -438, -320, -202, -84, 34?\nAnswer: 152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(3) + -2)*1.\nAnswer: 1 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-169)\/26)\/((-247)\/(-798)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1137810 and 1896350?\nAnswer: 5689050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42544992.\nAnswer: 2, 3, 7, 63311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 7193998086264 + 2.6\nAnswer: 7193998086266.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of -o**3\/3 - 5*o**2\/2 + 4*o. Let t be m(-5). Suppose 0 = -t*s - 5*p + 60, s + 18 = 2*s + 3*p. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6599*y**2 + 5170*y**2 - 11769*y**2 - 10*y**3.\nAnswer: -10*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 4*j + 7. Let z be k(18). Is ((-191)\/4)\/((-4)\/(1 + z)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 - 2. Let c be j(0). Let p(d) = -2*d - 2. Let q be p(c). Let m = 2 + -2.1. Is q equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 2 + 6. Let w be 5*(33\/15 - y). Let o(g) = 9*g**2 - 1. Determine o(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 514043?\nAnswer: 331, 1553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 526 and 9.\nAnswer: 4734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/((-9)\/(-6)*(-124)\/(-93)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 - 6*a + 10. Let q be (-130)\/18 + 12\/54. Let p be s(q). Solve -3*r = 2*z + p, 2*r - 17 = 5*z - 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -278*v**2 + 140*v**2 + 124*v**2.\nAnswer: -14*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2851 + 852. Let k = z - -6270. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of 95*k**4\/4 - 237*k**2\/2 - 29*k + 2. Find the first derivative of d(c) wrt c.\nAnswer: 570*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from kktttttkkkkt.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7*((-38)\/(-7) + -4) - 8. Suppose -72 = 2*v - 0*v. Let n be ((-3)\/(-6))\/(v\/(-208)). Which is smaller: g or n?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -2*j**3 + 3*j**2 - 2*j + 2. Let y be z(2). Let o(f) = f - 4. What is o(y)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/25 or -4\/3?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b**3 - b**2 - 4*b**2 + 4*b + 7*b**2 in the form j*b + g*b**3 + d*b**2 + c and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -32 + -27. Let b = -49 - o. Is (-4778)\/5*(-25)\/b*1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -1\/5 (b) 4\/9 (c) -1\/2268 (d) 1.38\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -75 - 274 - 52 + 33 - 116*s**3 - 33 with respect to s.\nAnswer: -348*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 32*w**2 + 129*w + 2. Let a be d(-4). Let b(h) = 6*h**2 + 5*h + 1. Let x be b(-6). Let v be x\/(-22)*a\/(-5). Does -2 = v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 - (0 - (3 + -2)). Let u be 13\/(-3) + m\/(-3). Let q(r) = r**3 + 4*r**2 - 6*r. Does 3 divide q(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 6*x**2 + 3*x. Let a be b(-4). Let w(t) = 12*t - 77. Let l be w(7). What is the highest common factor of a and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5403\/(-14408)*48\/(-318)?\nAnswer: 3\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 64 - 64.4. Let x = -0.9 - 0.1. Sort x, -3\/7, p in increasing order.\nAnswer: x, -3\/7, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 115 - -20311551?\nAnswer: 20311666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, -5, -35177, -17 in descending order.\nAnswer: 5, 0, -5, -17, -35177","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(175)*2.\nAnswer: -40*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 13089493 to the power of 1\/2, to the nearest integer?\nAnswer: 3618","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1302 + -1300. Solve j = -y - y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 5146, 5023, 4908, 4801?\n\"Answer: 4*b**2 - 135*b + 5277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -12700*c + 63499. Calculate i(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cack when four letters picked without replacement from {a: 2, k: 1, o: 2, d: 1, t: 1, c: 2}?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -64 + 96. Does 8 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2790395 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -285782 and 42.51?\nAnswer: 285824.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**4\/5 + 69*t**3\/5 + 66*t**2 + 408*t\/5.\nAnswer: 3*t*(t + 2)*(t + 4)*(t + 17)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 843 - 5045\/6. Let j = 8\/3 - y. Let o = 2791\/19 - 147. What is the second smallest value in j, o, 2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1030, -2061, -3092?\n\"Answer: -1031*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m**2. Let o(h) be the third derivative of 0*h**3 + 0 + 0*h - 2*h**2 + 7\/12*h**4. What is o(a(z))?\nAnswer: 28*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.4492581l?\nAnswer: 449.2581","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.998 + 0.002. Let i = -0.07 - 4.93. What is the nearest to 1 in -4\/7, i, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10935 to the power of 1\/2, to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + z = 6, 64*z - 57*z = -3*p - 30 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h + h**2 - h)*(-h + 5*h - h) + 40*h**3 - 17*h**3 - 7*h**3.\nAnswer: 19*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -6*(-7)\/(28\/6). Solve -5*c = -2*c - a for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 - 758*j + 8958. What is s(12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*n + 108696 - 647004 = 299277. What is the hundreds digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = k**2 + 36*k - 15. Let a be i(-45). Calculate the highest common divisor of a and 78.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 3 (b) 0.5 (c) -59.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -269*t + 4 - 4.\nAnswer: -269*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of x**4\/4 - 9*x + 38. Let i(g) = -g - 795. What is i(v(l))?\nAnswer: -3*l**2 - 795","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = m**3 - 16*m**2 - 33*m - 56. Let r be v(18). Let l be r - (-222 - (3 - -2)). Calculate the greatest common factor of 45 and l.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 499829.85 to the nearest ten thousand.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/((-616)\/572*(-65)\/20)?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -28490000 rounded to the nearest one million?\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 238, 237, 236, 235, 234?\nAnswer: 233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -93 + 3. Is 9 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -9*w + w**3 + 11*w - 2*w + w**2. Let d(l) = 3*l**3 + 2*l**2 + 3. Let v(a) = -2*c(a) + d(a). Find the first derivative of v(r) wrt r.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**3 - m**2 + m + 1. Let z(v) = -5*v**2 + 5*v - 7. Let j(n) = w(n) + z(n). Let o be j(5). Is 1*o*1*-67 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 + 27*y**2 - 16*y - 32. What is the units digit of f(-19)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 173369150 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 597 + -6572\/11. Find the common denominator of ((-47)\/4)\/(18\/(-8)) and c.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1284, -32.\nAnswer: -32, -4, 1284","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rhv when three letters picked without replacement from {h: 1, r: 6, m: 1, v: 1, o: 4}?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-6)*(-2)\/(8\/(-11))*1640160\/44880?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + (-4)\/5 + (-7)\/35. Let t(n) = n - 5*n - n. Let c(d) = 2*d. Let f(l) = s*t(l) + 7*c(l). Let i(w) = w. Calculate f(i(k)).\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 8 = 4. Suppose -o*z + j + 3*j = -1640, -5*j + 10 = 0. Let r be 5 - (-2 - z\/(-56)). Is r < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81 is divided by 29.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -4*n**2. Let i(y) = 74*y**2 - 181*y**2 + 106*y**2 + 36. What is i(l(d))?\nAnswer: -16*d**4 + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 3*s - 42, -30 = -5*s - 3*f - 2*f. Let r = -4 + s. Put -5, 2, r in decreasing order.\nAnswer: r, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 249*o - 9282 = -11*o - 182*o for o.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 291 a factor of 593358312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -44 + 30 + 21 - k**2 + 14*k**3 - k + 2*k**4 - 3*k**4 - k**4 as l*k**3 + a*k**2 + n + r*k**4 + m*k and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 4*o = 0, -2*o - 2*o + 20 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1134)\/540)\/(91\/195*-3)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 101\/5572 or 1?\nAnswer: 101\/5572","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 63\/8 of a litre in millilitres?\nAnswer: 7875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 93, -0.02, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/18 and 5\/(-127200)*-16*(-62)\/(-4)*-1?\nAnswer: 9540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 318521?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -164 - 166 - s - 171 + 504. Give x(10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -7, 2, 5, -3824 in decreasing order.\nAnswer: 5, 2, -3, -7, -3824","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the first derivative of 0*s + 45\/2*s**2 + 74. Let j(x) = -x. What is h(j(v))?\nAnswer: -45*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of -241*l**9\/504 + l**5\/60 + 18*l**3 + 30*l**2. What is the third derivative of j(s) wrt s?\nAnswer: -28920*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -74743*a - 373638. What is j(-5)?\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/448*8*(-6)\/2\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 21 - 10. Let m(l) = l**3 - 10*l**2 - 9*l + 1. List the prime factors of m(g).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*v + 0 + 0)*(9*v**2 + 2*v + v**2 - 4*v**2) as s + l*v**3 + j*v + o*v**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 231.66 + -230.66. Sort p, -1\/3, -0.5, 2\/17, -6\/7 in ascending order.\nAnswer: -6\/7, -0.5, -1\/3, 2\/17, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 - ((-9)\/(6\/(-2)) + 20). Let l = -14 - o. Suppose -32 = 2*k - l*k. Solve k = 5*z - 2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express m**4 - 96 - m**2 - 81 + 8 - 4*m + 2*m**3 + 3*m in the form y*m**2 + c*m + w + v*m**3 + l*m**4 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-13020)\/(-930))\/((-3)\/(9\/(-2)))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1509353 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 5) to base 3.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -23*o - 16. Is l(-5) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + 226?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 952667 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 17\/1*(3 + -2). Solve i*o + 28 = -40 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1462 = 5*k - u, -k - 246*u = -244*u - 310. Solve 0 = 320*z - k*z - 104 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzo when three letters picked without replacement from {z: 7, o: 6, c: 6}?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1872\/72*(-1 - -1*5). Let v = -19 + 29. Let g = 3 + v. Calculate the greatest common divisor of d and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 1:03 PM?\nAnswer: 3:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28531?\nAnswer: 103, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3711*d**2*r**2 + 216*d*r - 4*d - r**2 wrt d?\nAnswer: 7422*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000404797537 to five decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 284.\nAnswer: 852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*d**2 - 12*d**2 - 2*d**4 + 4*d**3 - 4*d**3 wrt d.\nAnswer: -48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1558\/3 - -519. Put 0.3, f, 21\/5, -2\/7 in decreasing order.\nAnswer: 21\/5, 0.3, -2\/7, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1279990 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 5, a: 2, i: 2}. Give prob of picking 3 j and 1 i.\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 6069 - 11219 = 0. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -22122 - -1415857\/64. Calculate the common denominator of -17\/48 and w.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 - 26)*(-9*y - 6*y + 5*y).\nAnswer: 250*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20866 = 4*l - 59138. Suppose -l = -7*c - 9*c. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124297 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3945 divided by 5.\nAnswer: -789","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(143)\/(sqrt(55)\/sqrt(5)*-1) - 4*((2*sqrt(325) - sqrt(13)) + sqrt(13)))**2.\nAnswer: -21853","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**16\/h*h*h\/h**(-13))**(-44) assuming h is positive.\nAnswer: h**(-1320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.02, 0.5, 2\/11, 8, 1.6?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 3*h. Suppose s = -2*r - h*r - 5, s - 25 = 4*r. Suppose 0 = u + l - 2*l - s, 20 = 4*l. Solve u = 3*w + 2*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1536) + -6*-2*sqrt(1536) - (-1*sqrt(1536)*4 + sqrt(1536)))\/(4*(-1*sqrt(1728) + sqrt(1728)) + (sqrt(1728) - sqrt(1728)*1*-6)).\nAnswer: 32*sqrt(2)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 674 + 23228 + z**2 + 2*z**3 + 11098 - z**3. Let p be j(0). What is p rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 771554, 3084686, 6939906, 12337214, 19276610, 27758094, 37781666?\nAnswer: 49347326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 25, -2*a - 8 = -4*t + 10. Let b = 5 - a. Let g(i) = 3*i**2 + 4*i - 2. Let l(u) = 2*u**2 + 4*u - 2. Let v(f) = 3*g(f) - 4*l(f). Determine v(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 + 69 = 5*v + 14*i, 32*v - 32*v - 10 = -2*i for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.049 * 0.1\nAnswer: 0.0049","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14? (a) -0.3 (b) -5 (c) 23 (d) 0.2 (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + (4 - -2) - -7?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.09, 28, -5, -1 in descending order.\nAnswer: 28, -0.09, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 + c**2 - 1. Let t(a) = -70*a**3 + 2*a**2 - 3. What is 3*o(w) - t(w)?\nAnswer: 73*w**3 + w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.1 and -339379.\nAnswer: 373316.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*r - 6965 = -3524 - 3661 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -0.18 (b) 3\/80 (c) 0.1 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - -1. Let s = t + 0. Let l = -4 + s. Which is the second smallest value? (a) 0.2 (b) l (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2518.723 millilitres to litres.\nAnswer: 2.518723","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of n**5\/60 - n**4\/3 - 4*n**2. Let d be w(8). Suppose -2*v = 2*q - d*v - 2, -q = 5*v + 7. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8893050 and 8080?\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/(-15))\/(900\/37500)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = u - 3*j, -3*u + 0 - 4 = 4*j. Let a(n) = 2*n**2 + 6*n. Let h be a(u). What is the second derivative of 2*b + 2*b**2 - h*b**2 - 5*b wrt b?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 504201, 504144, 504071, 503976, 503853, 503696?\nAnswer: 503499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 91032.38 micrograms?\nAnswer: 91032380","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*l + 26*l = -56*l + 47*l. Solve l = 4*g + 7*s - 5*s + 10, 5*s + 25 = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/21 and 0\/2 - 981\/(-216).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 72 by 3.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 7, d: 7}. Give prob of sequence ddd.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 19*x**3 - 6*x**2 + 71*x - 10. Let a(h) = -27*h**3 + 8*h**2 - 107*h + 14. Calculate 5*a(m) + 7*d(m).\nAnswer: -2*m**3 - 2*m**2 - 38*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 658*c + 16416 = 1553*c - 743*c for c.\nAnswer: 108","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 34944?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 19 (b) -1 (c) -2\/43 (d) 1065\/19 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-20))\/((-33)\/(-660)*(-24)\/(-34))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 5, 1.91, -6.\nAnswer: -6, 0.2, 1.91, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 401465014.\nAnswer: 2, 157, 1278551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wfmzx. What is prob of sequence xwz?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30064 is divided by 144?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/3*3\/12*-6. Solve 2*p - 4*v = -12, q*p - 15 + 3 = -4*v for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 2 = -b + 2*b, -b + 1 = -3*q. What is the tens digit of 2*(-5)\/(-15)*(-513)\/b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.09 + 2.09. Let y = h + -1. Let u = 6 + -4. Which is the biggest value? (a) u (b) 0 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-4))\/(2\/20). Let i be ((-41)\/7 + r)\/(2\/(-14)). Let y be 0*(i\/(-3))\/4. Solve y = 3*a - 5 - 7 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 584508895 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 36. List the prime factors of v.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 + 14*a**2 - 17*a + 1. Calculate o(-15).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.08 + 0.12. Let v = h + 0.95838. What is v rounded to four dps?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.218691 from 1052.7905.\nAnswer: 1052.571809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (20142\/50)\/((-1506)\/15). Let v = l + -22\/251. Calculate the common denominator of v and 11\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*s + h + 17, 5*h - 19 = -2*s + s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of -4*h**5\/15 + h**4\/24 - 2*h**2. Let d = 3403 + -3402. What is p(d)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 64507797, 64507807, 64507823, 64507845, 64507873, 64507907, 64507947?\nAnswer: 64507993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from iifffktfutekeu?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k - 4. Let s be (-4)\/2 - (2 - 0). Let i = -7 - s. Determine o(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25 (base 10) to base 5\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96) + -2*sqrt(96))\/(sqrt(32) - sqrt(128) - sqrt(8)).\nAnswer: 2*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52 is divided by 29.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of -4*d**3\/3 - d**2\/2 + 2806*d - 3. Let i(y) = 7*y. Let n(t) = 13*t. Let w(b) = 11*i(b) - 6*n(b). What is p(w(a))?\nAnswer: 8*a - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.13 + 0.13000015. Round h to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000782345 rounded to 6 dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 20468 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-84)\/(-56)*(0 + 8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that 2*k**2\/9 - 2584*k\/9 = 0.\nAnswer: 0, 1292","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 6923 <= 6946?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, m: 3, n: 5}. Give prob of sequence mj.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 17\/(-10) + (-231)\/(-22) + -9\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/15 - (-63102)\/4045.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -116*b + 7957 = 649. Calculate the remainder when b is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 528 and 7991736.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8059, 8061, 8063, 8065, 8067, 8069?\nAnswer: 8071","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (53 + -2 + -79 + 94).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 266*l**3*y + 2*l**3 - 16714*l**2 + 95254*y + 249 wrt y?\nAnswer: 266*l**3 + 95254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19417248 by 539368.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2069 - -2108. Calculate the greatest common factor of 169 and x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 3*j**2 + 10. Let b(x) = -614*x**2 - x + 32. Calculate b(d) - 3*g(d).\nAnswer: -623*d**2 - d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 56 - 24. Let w(x) = x + 1. Let m be w(3). Let o = 12 - m. Solve t*v = 4*v + o for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/k**(-8)*k)\/k)**(-2\/3)\/(k**(-1\/3)\/((((k\/(k*k**(-2\/41)))\/k)\/k)\/k*k)))**5 assuming k is positive.\nAnswer: k**(-4685\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that -2*f**3\/15 + 31778*f**2\/15 - 3000668*f\/15 - 1010816\/5 = 0.\nAnswer: -1, 96, 15794","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 420 not equal to -641.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) -3.5 (c) 5 (d) 1904 (e) -0.2 (f) -0.1 (g) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the first derivative of 5*i**6\/6 - 21*i**5 + 735*i**4\/4 - 1715*i**3\/3 + 1608. Find u such that n(u) = 0.\nAnswer: 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5305.636nm in micrometers?\nAnswer: 5.305636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12\/(-72) + (-10)\/(-12))\/((-84)\/(-63)). Let j = -22\/21 + 12\/7. Which is the closest to 37? (a) -0.1 (b) g (c) 2 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the second derivative of -k**4\/36 + 1121*k**3\/9 - 1256641*k**2\/6 + 100*k - 10. Factor f(t).\nAnswer: -(t - 1121)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -254*i + 4665 + 9459 = 67*i for i.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*m + b - 5*b + 17924 - 17980, 2*m = -3*b - 38 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -4*d + 26, 0*c = -2*c + d. Solve 5*q = -c*z + 6*z + 41, 2*q = -3*z - 2 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4*4\/32)\/(-1). Which is the fourth biggest value? (a) v (b) 2 (c) -5 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t - 3*t - 18 + 17*t - 1 - 91. What is a(9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 25, 4.\nAnswer: 1, 4, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*a*w*z + a*w - 367*a*z**3 - 3*w*z**3 + 16*w*z + 13 wrt a.\nAnswer: 3*w*z + w - 367*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of -17*l**2 - 8\/105*l**7 + 0 + 0*l**5 - 11\/6*l**3 + 0*l**6 + 0*l**4 + 0*l. Find the first derivative of b(k) wrt k.\nAnswer: -64*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence njnn when four letters picked without replacement from jjjnnjn?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2103 (base 4) to base 7\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 + 2*f**3 - 7 - 7*f**2 - 4*f**2 - 28*f + 11*f**2 in the form u*f + q + d*f**3 + v*f**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 172 - 171 = 2*t, 2*t = 7*o - 3 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*z + 25 = -5*y + 24*z, 4 = 3*y + 2*z for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p**31*p*p*(p**(-6\/7)\/p)\/p)**(-39))**33 assuming p is positive.\nAnswer: p**(-289575\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4 + (-818)\/10)*-5. Suppose -f - 31 = -s. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*d - 3*d - 1428. Solve k = d - 48 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 0.5 (b) 2\/11 (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lq when two letters picked without replacement from {n: 2, l: 4, y: 1, q: 4}?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -3*r**3 - 5*r**2 + 3*r + 1. Suppose 12 = -2*s - j, 5*s + 0 + 24 = -j. Let x be g(s). Suppose 5*o - 2*o - 15 = 0, 4*b - x = -o. Is 9 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x**3 + x**2 + x - 9. Let j(q) = q**3 - 5. Calculate -3*h(u) + 5*j(u).\nAnswer: -u**3 - 3*u**2 - 3*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*w = 31*w - 5*g - 20, 50 = 5*w - 5*g for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97*m**2 - 203*m**2 + 90*m**2.\nAnswer: -16*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -68 - -881. Let p be s + -1 + 1 + -1. Let h = -5697\/7 + p. Which is bigger: -2 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, v: 18}. What is prob of picking 2 v and 1 d?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (3*(-2)\/(-108))\/((-16)\/(-256))?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2002 - -22?\nAnswer: -1210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -175291\/320250 + -2\/7625. Let u = k + 1\/21. Which is the closest to u? (a) -4 (b) 0 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -0.18 (b) 0.2 (c) 5 (d) 4 (e) -4 (f) -1343.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15575288483 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of d**5\/60 + d**4\/12 - d**3\/2 - 6*d**2. Let b = 76 + -74. Let q be b*(-7)\/14 - 4. Calculate l(q).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (-3 - 6)) + (1 - 4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sx when two letters picked without replacement from {v: 2, s: 1, i: 2, x: 2, p: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.3 + 0.2. Let r(b) = 3*b**3 + 23*b**2 + 19*b + 34. Let x be r(-7). What is the closest to 1\/3 in g, x, -4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 4*d - 2, 5*y + 17 = 4*d - 1. What is the third derivative of o**5 + 9*o**d + 6*o**5 - 3*o**2 wrt o?\nAnswer: 420*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of 4*p**7\/105 - p**5\/20 + 6*p**2. Find the third derivative of g(h) wrt h.\nAnswer: 192*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 392388 * -1.\nAnswer: -392388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 170.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 2*d**3 + 23*d**2 - 14*d - 8. Let o be l(-12). Suppose -o*g + 11 = -165. What is the common denominator of -79\/48 and (11*-7)\/(g\/(11\/(-30)))?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10918 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 120 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, -81, -5 in ascending order.\nAnswer: -81, -5, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 122829 divided by 348?\nAnswer: 40943\/116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-44 - 36) + -14 + (-13 + (12 - 3) - -8)?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(0 + sqrt(891)) - 3*(sqrt(891) + -1 + sqrt(891))) + -1 + (sqrt(891) + 2 + -5)*-4*3)**2*-1.\nAnswer: -394375 + 14364*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*d + 120 = -9*d. Let t(x) = -6*x + 57. Let p be t(d). Let y(n) = -2*n + 5. Let o(k) = 4*k - 11. What is p*o(r) - 7*y(r)?\nAnswer: 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42740006?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 + 6*o**2 - 2. Suppose -36 = -5*p + 6*d - 3*d, 5*p - 4*d - 38 = 0. Determine l(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w = -2*w + 15, v + 4*w + 10 = 0. Let b(p) = 2*p**3 - p**2 - 4. Calculate the lowest common multiple of b(v) and 56.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gy when two letters picked without replacement from {y: 4, g: 1, v: 5}.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of -59*t**4\/12 - 35*t**3\/2 + 7*t**2. What is the first derivative of j(x) wrt x?\nAnswer: -118","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -543\nAnswer: 2715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1070202 and 9462.\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 22 = -10. Let v be ((-1)\/h)\/(1 + 0). Put v, -0.4, 0.5 in descending order.\nAnswer: 0.5, v, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 553 and 1027.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2076 - 1380 + o + 1933.\nAnswer: o + 2629","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6975 - -6989. Sort -4, d, 2, -2.\nAnswer: -4, -2, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 8 = -2*t, 2*v + 5*t = -0*v + 9 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -293*b + 15. Does 28 divide y(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -485*k + 482*k + 54. Let n = -136 - -149. Which is smaller: k or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2155 + 2155.02362. Round s to 2 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -123 + 127. Solve -c*j + 3*j + 4 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - -1. Suppose -6*o + k*o + 16 = 0. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 12:43 PM?\nAnswer: 4:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -4947*u. Let m(o) = 18*o - 5. What is f(m(t))?\nAnswer: -89046*t + 24735","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -235 - 167 = 134*x. Which is smaller: x or -83\/47?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20308753 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24096 = -5*m - 24036 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.27 + -0.27. Put -1\/5, n, 4, -1 in increasing order.\nAnswer: -1, -1\/5, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -342202 + 28132 = 1929*n - 819*n + 2196*n for n.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 1 - 3)*(6*s - 3 + 3 - 2)*(2*s**2 - 5*s**2 + 2*s**2) as u*s + h*s**2 + l*s**3 + v and give l.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -291 (b) -3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3123 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-314)\/(-157))\/((-2)\/7).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 PM and 7:59 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a**3 - a**3 - a**3 + (2*a**2 + 1 - 1)*(-6*a + 0*a + 4*a) - 6 - 73 - a + 1344*a**3 - 1346*a**3.\nAnswer: -8*a**3 - a - 79","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 6*q + 7*q + 25 = 0, 3*f = -2*q + 90. Put -4, f, 16 in decreasing order.\nAnswer: f, 16, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 4*c + 101. Let z(g) = -g - 33. Determine 2*d(k) + 7*z(k).\nAnswer: k - 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 60 - 299\/5. Let b = -1.61 + -5.39. Let o = 17 - 19. Put a, b, o in decreasing order.\nAnswer: a, o, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -3*u**3 + 4*u**2 - 2*u + 4. Determine y(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 207289, 414581, 621873, 829165, 1036457?\nAnswer: 1243749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 107, 216, 325, 434, 543?\n\"Answer: 109*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j + 102. Give s(-51).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/3984 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -147268.86 + -27.1?\nAnswer: -147295.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(-27) - (-10)\/(-3)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -34736\/3 - -16534297\/1428. Find the common denominator of v and 15\/14.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 449 is divided by 210.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k = -80*k + 335430. What is the hundreds digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 38 * -0.07.\nAnswer: -2.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 + -9. Find the third derivative of 0*k**4 + 32*k**2 - 35*k**2 - z*k**4 wrt k.\nAnswer: -48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -609 + 602. List the prime factors of u\/(63\/(-354)) + 2\/(-6).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {w: 8, v: 5}?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*a + 37*o - 34*o - 12, 0 = 2*a - 2*o + 8 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 135, 123, 109, 93?\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(0 + 5 + (sqrt(288) - 2*sqrt(288))*6 + -4 + sqrt(288) + 0 + 1))**2.\nAnswer: -240*sqrt(2) + 7204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -112 + 453\/4. What is the third biggest value in 2\/11, p, -1, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-264)\/90)\/22 - (11 + (-1265)\/(-75)).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1\/53 - -113\/371. Which is the closest to -2.4? (a) y (b) -0.1 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -157\/606816 and -173\/832608?\nAnswer: 35802144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 314\/(-14) - 15\/(-35). Let j = -18 - b. Is j less than 10\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dofcbww. Give prob of sequence woco.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11758 and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -13*d**2 + 7*d + 9. Let v(q) = -6*q**2 + 4*q + 4. What is -2*i(p) + 5*v(p)?\nAnswer: -4*p**2 + 6*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 + 6*y + 9. Let q be n(-5). Suppose 2*h + 2 = -q. Sort -4, 2, h in increasing order.\nAnswer: -4, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y**2 + 20*y - 2. Let z be b(-10). Let m be (z\/6)\/(3\/(-27)). Let d be 1 + (0 - -1) + 0. Solve -d*q - m*q - 5 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 3 = 9. Let t be -2*7*-1 - (-32)\/16. Solve -4 = -4*m - 5*z, m + d*z - t + 4 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 + -3. Suppose -3*x + n = 2. Suppose 56 = -3*a + 98. Calculate the remainder when a is divided by x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**2 - 6*h - 2. Let d be q(-5). Suppose 6 = d*v - 24. Calculate the least common multiple of 0 + 4 - 32\/(-2) and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 13*w**2 - 2*w + 1. Let g be s(1). Suppose z + 25 = -4*f, 5*f + 12 + 26 = z. Let x = f + 13. What is the greatest common factor of g and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -46284162*y**4 - 19404831 wrt y?\nAnswer: -185136648*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100111000100 - -10100010011?\nAnswer: 111011010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 44*g**5\/3 + 2668*g**4\/3 + 13036*g**3 + 112628*g**2\/3 + 43504*g\/3 - 10880 = 0. Calculate g.\nAnswer: -40, -17, -3, -1, 4\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 2*q + a = -269, -2*a = 10. Calculate the smallest common multiple of q and 60.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 6 = -4*m - 0, -2 = -2*m. Suppose 0 = -n*g - 0*g + 3*z, -3*z - 6 = -3*g. Find the third derivative of -y**6 - 3*y**2 + 3*y**g + 5*y**2 wrt y.\nAnswer: 240*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 687.612*734.\nAnswer: 504707.208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 7:05 PM?\nAnswer: 5:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of -k**7\/1995 + k**6\/190 + 5*k**5\/38 + 49*k**4\/57 + 52*k**3\/19 + 25*k**2 + 4. Solve o(n) = 0.\nAnswer: -3, -2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0321 to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -4 + (-11 - -7) + 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 345 + 84779948.\nAnswer: 84780293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -117\nAnswer: 4\/117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2422*d = -2448*d + 3727176 + 7148026. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -308 - -312. Solve j - 15 = d*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 + 19*z**2 + 5*z + 24. Let u be f(-6). Suppose 2*x = -h + 452, -5*x + 4*h - u + 1605 = 0. What is the remainder when x is divided by 38?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b**3\/6 - 7913*b**2\/3 + 26385*b\/2 = 0. What is b?\nAnswer: -15831, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 + 4*s - 7. Let f be a(-6). Suppose f*c - 16 = -1. Solve c*n + n - 4 = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*f**4 - 2*f**4 + 183 + 34*f**2 - 179 - 4*f**4 as m*f**3 + t*f**2 + k + u*f**4 + q*f and give t.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1442001*a*u**3 + 1739*a + 480 wrt u.\nAnswer: -4326003*a*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 9. Let s = -0.08 - 0.12. Put p, s, 0 in descending order.\nAnswer: p, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) -11\/14 (c) -26\/93 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1420603\/7 - -202598. Let u = 344 + d. Let y = 1 + -1. Which is smaller: u or y?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 103 + -99. Let c be h\/6 - (-4716)\/54. What is the highest common factor of 8 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 4*a + 7565, -g + 2*a = 4*a - 1519. Suppose -f + g = 2*f. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/11 (b) 0.28554 (c) -0.0554\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-99*z - 4 + 4)*(3 + z - 3) + 98*z**2 + 15010*z - 15010*z.\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 288 is divided by 23.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**3 + d**2 - d + 1. Let l be (-5)\/1 - (4 + (-2 - 5)). Determine n(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0 (b) -18 (c) 0.5 (d) 20 (e) -89\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 954471 is divided by 118620?\nAnswer: 5511","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2068*l**3 - l + 2728?\nAnswer: -6204*l**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1016696, -2033386, -3050052, -4066682, -5083264, -6099786, -7116236?\n\"Answer: 2*h**3 - 1016704*h + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 900.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -53 - 13*d**2 + 20*d**2 + 77 + 12*d**2 wrt d?\nAnswer: 38*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 928287 divided by -309429\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - ((8 - 5) + 8 + (52 - 39))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2013852 to the power of 1\/2, to the nearest integer?\nAnswer: 1419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -125*i**2 + 79*i - 5?\nAnswer: -250","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.4 (b) -174 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 3*t**3 + 48*t**2 + 87*t + 42 = 0.\nAnswer: -14, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1760 to the power of 1\/2, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1073 * 2.\nAnswer: 2146","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 94790 and 47395.\nAnswer: 94790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or -34005?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 330 and 114271800?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 5*h - 5. Determine q(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -58*b**2 - 62*b**2 + 7 - 2*b**4 + 16*b**3 + 171*b**2 - 52*b**2 in the form c*b**2 + l + v*b**3 + k*b**4 + n*b and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, d: 9, v: 1}. Give prob of picking 2 d.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1171.54199944 - -1171.272. Let l = 2.53 - 2.26. Let o = r + l. What is o rounded to 7 decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(114) + (-1*sqrt(114) - sqrt(114) - sqrt(114)))*-4)\/((sqrt(54) - sqrt(216)\/sqrt(4))\/sqrt(9) - sqrt(6)) + 2.\nAnswer: -8*sqrt(19) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -469*-0.3.\nAnswer: 140.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 15047, 60340, 136239, 243080, 381199, 550932, 752615?\n\"Answer: 56*x**3 + 14967*x**2 + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -57525 or -287626\/5?\nAnswer: -57525","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 408213?\nAnswer: 3, 13, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -1442*j - 39. List the prime factors of q(-4).\nAnswer: 17, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 + -13. Let s(c) = 2*c - n*c - 6 - c. What is the lowest common multiple of s(-4) and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 138 + -137.9. Is -0.028 smaller than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 61 - 489\/8. Let s = -18795 - -18794. What is the closest to -1 in y, 3\/4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 345390?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 8:32 AM?\nAnswer: 10:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/20)\/(4\/832)*335*108\/28944?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 1 = -4*r, 2*r + 13*q - 20 = 9*q. Solve 0*d + 4*d - 8 = -4*u, r*d = 3*u - 6 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5216067 (base 9) in base 16?\nAnswer: 2a83fb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t + 20. Let j be i(0). Suppose z = -z - j. Let f = z + 40. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 33 - 20. Suppose 4*z = -4*t + 16, -z - 8*t + 4*t = -y. Is z*-10*4\/(-8) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 18, -3 in increasing order.\nAnswer: -7, -3, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u**3 - 11*u**2 + 0*u**3 - 13*u**2 + 666*u.\nAnswer: -u**3 - 24*u**2 + 666*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 46595742 divided by 51\nAnswer: 913642","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 31*r + 1. Is h(2) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-3\/17)*f**(2\/7))\/(f\/f**(-12)*f**(1\/6)))**(2\/31) assuming f is positive.\nAnswer: f**(-9323\/11067)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyyyyyhyyyhyyry. Give prob of sequence hyh.\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqee when four letters picked without replacement from {g: 3, e: 4, q: 2}?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -211*y**2. Let i(x) = -x - 18. Let u(k) = 6. Let r(q) = -6*i(q) - 17*u(q). Let v(s) = -20*s - 21. Let h(a) = 7*r(a) + 2*v(a). Determine o(h(l)).\nAnswer: -844*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 - v. Let x be l(2). Suppose 0 = 3*g + 20 - 74. What is the remainder when x\/4*560\/(-12) is divided by g?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -86.4 - -78. Let j = 8.72 + k. What is the nearest to 0.1 in 2, j, -1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 19 and -81.749.\nAnswer: -1553.231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q**3 + 7*q**2 + 3*q + 6. Let d be i(4). Let -1\/5*k**d + 1\/5*k + 0 = 0. Calculate k.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 53*b - 379. Let h be g(7). Let o = -3.7 + 4. What is the closest to -1 in o, 1\/4, h?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -119.6 + 119.65. Let x = 0.06 - -0.14. What is the biggest value in 0.5, 6\/5, h, x?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 614429?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1483918289?\nAnswer: 7, 41, 313, 16519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12646947?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -1460, -0.5, -231?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 448813.\nAnswer: 59, 7607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*m**3 - 66*m**4 - 46*m**4 - 1 - 5*m + 79*m**4 + 4*m to the form k*m + f*m**3 + s*m**2 + b*m**4 + d and give b.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 280 = 4*d - 244, d = -2*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 + 12*y + 19. Determine s(-9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/2*6 + -69 + 65?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -18*n**2 + 3 - 57*n**2 + 35 wrt n.\nAnswer: -150*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23419 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -15*b*i**3 + 1718*b*i**2 + 2*b - i**3 + 579*i + 36 wrt b.\nAnswer: -15*i**3 + 1718*i**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-63)*(-6)\/15*(-924)\/(-198).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 134 = k, -k = 5*l - 4*l - 128. Let d = l - -79. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -3, -26, 2\/5, 0.3 in decreasing order.\nAnswer: 2\/5, 0.3, -0.4, -3, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/4)\/(7\/(-84)). Let n = 0.06 - -1.24. Let p = 3.7 + n. Which is the nearest to -1\/3? (a) p (b) -5\/6 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 3 + o - 25 + 0 + 4 + 8.\nAnswer: o - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -11*y**2 - y + 3. Suppose 116 = -9*o + 80. Calculate t(o).\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 + 10. Let o(c) = -2922*c + 1457*c + 1473*c. Calculate o(p(d)).\nAnswer: -8*d**2 + 80","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (223*p - 1 - 4 - 34*p + 7)*(-p + p + 5*p)*(4 + 0 - 1).\nAnswer: 2835*p**2 + 30*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 3 = 8. Find the first derivative of -3*j**2 - d - 3 + 0 wrt j.\nAnswer: -6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2992.8 or 0.08?\nAnswer: -2992.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1385*v + 2792*v - 1392*v = 4*l + 52, 2*v = 0 for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.027641 - 53877?\nAnswer: -53877.027641","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*z**4 + z**4 - 11*z**4)*(-3 + 5 + 0) in the form s*z**2 + r*z + a*z**3 + m + f*z**4 and give f.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*v + 3*v - v)*(-2*v**2 + 6*v**2 + 2*v**2) + (-v + 4*v - 2*v)*(3 - 3 + v**2))*(3 - 1 + 0).\nAnswer: -22*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 10*h - 4 + 0)*(44926 - 139*h**3 - 44926).\nAnswer: -1390*h**4 + 278*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -5.4. Let y = -0.6 + p. Let c = y - 0.3. What is the biggest value in 2, 0.1, c?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/2*-19*14\/(-1729).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-35)\/(-14))\/(1\/(-2)). Let g(z) = -z**3 - 5*z**2 - z - 3. Let s be g(w). Solve -d = -3*d - s for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -29 and -70.45.\nAnswer: 2043.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 394 divide 305909?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -22*t**5 + 13*t**2 - 37*t + 13. Let b(c) = -11*c**5 + 6*c**2 - 18*c + 6. Let d(g) = 13*b(g) - 6*x(g). What is the second derivative of d(k) wrt k?\nAnswer: -220*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -5, 58, 0 in descending order.\nAnswer: 58, 5, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 198110.147 + -198017. Let k = -93 + v. Round k to two decimal places.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293282004 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 smallest common multiple of 1748 and 4085858?\nAnswer: 155262604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 6, b: 4, c: 2, f: 1, l: 2, n: 3}. What is prob of picking 2 c?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -132054 - 132047 + 264101 - 13*i**2. Let s(a) = 14*a**2. Give -6*s(v) - 5*y(v).\nAnswer: -19*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -479*f**4 + 8 + 3*f**2 + 83 + 497*f**4 wrt f.\nAnswer: 72*f**3 + 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3570000 to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1528189, -3056380, -4584571?\nAnswer: -6112762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8129?\nAnswer: 11, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-53)\/(-371))\/((-1)\/4)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8 - -13e?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 36 - 25. Suppose 9*m = -o - 25. Let g be (1\/(-2))\/(m\/8). What is the greatest common divisor of 2 and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -25490.488 and 0.11.\nAnswer: -2803.95368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.9 + -3.3. Let t = d - 3. Let s = 0.21 + 0.29. Which is the closest to 0? (a) t (b) 3\/7 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = -2*x - 57 - 131, -c = 4*x - 139 + 74 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 + 56994884. Let l be r(0). Let d = 88594884 - l. Suppose 5*m = m - d. What is m rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 490 a multiple of 245?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t*(t*t\/(t*t**(1\/6)*t))\/t)\/t)**(-7\/2)\/(((t**(-6\/17)\/t*t*t)\/t)\/((t*t*t\/(((t\/(t\/t**(1\/3)))\/t)\/t))\/t*t)))**(22\/7) assuming t is positive.\nAnswer: t**(4191\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2697 = -17*f + 7163. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - -4 - 4) + -6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*y + 15*y + 36 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, y: 7, r: 2, g: 4, n: 1}. Give prob of picking 1 v, 1 y, and 2 r.\nAnswer: 7\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**5 - p**5 - 4*p**5 - 23 + 23 - 3*p**5 + (0*p - p**2 + 0*p)*(0 + 0 + p**3) + 2*p**5 + 4*p**5 - 3*p**5.\nAnswer: -5*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 88, 98, 118, 154, 212, 298, 418, 578?\n\"Answer: c**3 - c**2 + 6*c + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 2)*(1 - 5 - 1)*(-2*i**5 + 3*i**5 - 3*i**5).\nAnswer: 10*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1187353\/7 - 169271. Let r = i - 49337\/140. Let o = -2169 - -26111\/12. What is the common denominator of r and o?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -2, 5, -185, -10 in descending order.\nAnswer: 12, 5, -2, -10, -185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -197642 + 122272 - 434070 = -64*z. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-180)\/(-330) - (-94)\/(-11). Let d = 7 - 9. Let c be (d\/t)\/((-10)\/(-200)). Solve 0 - 10 = -c*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 211.99867 - 212. What is y rounded to 4 dps?\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1174 - 1094. Solve 7*p - j = -9*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 2*t - 40 = 0, 3*o - 2*t = -6*t + 30. Let x = 198 + -174. Let v = x - o. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*d - 37*d + 396 - 1197 + 398 + 403.\nAnswer: -95*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**2 + 10*p + 475750 - 10*p + p**2.\nAnswer: 2*p**2 + 475750","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 141*u**3 - 4*u**2 + 4*u - 8. Let o(v) = -2*v**3 + v**2 - v + 2. Determine -4*o(s) - x(s).\nAnswer: -133*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a milligram in micrograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l - 8 + 8)*(-l**3 - 5*l**3 + 3*l**3) - 8*l**4 - 8*l**4 + 0*l**4.\nAnswer: -7*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -515 - -4?\nAnswer: -511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from babuuoqbooubooooobb. What is prob of picking 3 u?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15063840?\nAnswer: 2, 3, 5, 11, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence teat when four letters picked without replacement from {t: 2, e: 7, a: 6}?\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 56*v - 46*v + 135*v)*(127*v - 131*v - 422*v)*(-1 - 1 + 0).\nAnswer: 28116*v**2 + 2556*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s + 12*s = 6. Suppose 22 = 6*w + 10. Solve -5*m = 4*u - 14 - 9, 0 = -2*m + s*u + w for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*s**2 - 7*s**2 - 7*s**2 + 3 in the form j*s**2 + i*s + t and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 9. Let h = 19 - u. Calculate the highest common factor of h and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21486\/7 + -241175\/42. Let s = f + 2667. Find the common denominator of s and 65\/22.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.772 + 211.\nAnswer: 211.772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/5 of a micrometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, m: 1, q: 9}. What is prob of picking 1 q and 1 m?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2418?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2268546651684 take away 0.2?\nAnswer: -2268546651684.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -3.6.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + 7b73232?\nAnswer: 7b73234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 123169 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 - u**2 + u + 4. Let a be b(0). Suppose 0 = 2*s + m + m - a, 2 = -5*s + m. List the prime factors of 12 + (-3)\/(-3) + s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -5*i - 28. Let u be b(-6). Let f(h) be the first derivative of 2\/5*h**5 + 2*h**u - 3 + 1\/6*h**6 - 4\/3*h**3 + 0*h - 3\/4*h**4. Factor f(m).\nAnswer: m*(m - 1)**2*(m + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 + 36. Let t = -229 + 351. Suppose 4*v - 118 - 86 = -5*s, -3*v = -4*s - t. Calculate the greatest common factor of v and l.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 x when three letters picked without replacement from rxxxxxxxxxxxxrxxxxxx.\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1377 - 2?\nAnswer: 1375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from peefpffpf. What is prob of picking 1 e and 2 p?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:18 AM and 12:11 PM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 3)*(o + o - 4*o) + (3*o - 5*o + 3*o)*(1 - 6 + 2).\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*m + 7*m - 1. Let d(c) = 10*c**2 + c - 1. What is the smallest common multiple of d(m) and 14?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 m when two letters picked without replacement from fxfdgffdjjjm?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in s**2 + 3 - 2*s**2 - 8*s**2.\nAnswer: -9*s**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -764\/3 or -255?\nAnswer: -255","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.93 + -3.48. What is n rounded to one decimal place?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31655907 to the power of 1\/3, to the nearest integer?\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the first derivative of o**5\/30 + o**4\/12 - o**3\/6 - 2*o**2\/3 - 2*o\/3 + 33. Let s(f) = 0. Calculate f.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 41 + -43. Which is the closest to -2? (a) t (b) 4 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of c**3\/3 + 100. Let o(f) = 2*f**3 - 6*f**2 + 3*f. Let n(y) = -6*y**3 - y**2 + y. Let j be n(1). What is j*q(k) - o(k)?\nAnswer: -2*k**3 - 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**4\/3 - 20792*r**3\/3 + 2*r**2\/3 + 20792*r\/3 = 0. What is r?\nAnswer: -10396, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 3.14. Let o = 117 + -116.94. Let d = o - y. What is the third smallest value in 0, d, -0.2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -95792*i**3*t + 3206*i**3 - 108*i**2*t - 3*i**2 - 2182*i*t + 45*t wrt i?\nAnswer: -574752*t + 19236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.14 - 5.14. Which is the third biggest value? (a) q (b) 5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0643 rounded to 2 dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3887 + 3883. What is the smallest value in -95, 0.1, 0.2, d?\nAnswer: -95","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 5*k - 7047 = 0, -17 = -4*k - 1. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 547873 and 0.0221.\nAnswer: 547873.0221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*h**4 + 1158*h**3 + 29015*h**2?\nAnswer: 48*h + 6948","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 83837865?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 44222041 + -106?\nAnswer: 44221632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -610, -1244, -1888, -2542, -3206, -3880?\n\"Answer: -5*x**2 - 619*x + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -186 + 182. What is the biggest value in -4\/5, k, -0.1, -5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5917360 and 2380?\nAnswer: 41421520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 2*l - 14 = 5*k, -5*k - 5*l + 15 = 0. Let u be 1\/(-2) - 75\/30. Let g be ((-2)\/u)\/((-18)\/27). Which is smaller: g or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10331 or 2\/7?\nAnswer: 10331","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = y, -b - 1 = -5*y + 9. Suppose -4*o = -1 - b. Let j be 4\/o + 1 + 0. Solve 0 - j = -2*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/((64\/6)\/8). Suppose -18 = -7*a + u. Suppose 42450520 = a*i - 51449480. What is i rounded to the nearest 1000000?\nAnswer: 31000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6913429?\nAnswer: 6913429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -13 - -22. Let g(z) = -3*z**2 + z + 2. Let s(x) = -13*x**2 + 5*x + 9. Let h(f) = m*g(f) - 2*s(f). Let h(q) = 0. What is q?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/30 and -93\/10880.\nAnswer: 32640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -10144 (base 8) to base 15\nAnswer: -139b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-995)\/199)\/(3\/1)\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 51487?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 24*t = 17*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 80 + -79. Which is the second biggest value? (a) -2\/33 (b) -3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of -122*x**5\/5 - 5*x**2\/2 + 27*x - 666. What is the second derivative of s(c) wrt c?\nAnswer: -1464*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*w + w - 2*w)*(4*w + 2*w - 4*w) + w**2 + w**2 - 3*w**2 to r*w**2 + m + n*w and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 321 and 1498?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/((1 + 0)*1). Let f(p) = -p**3 - 6*p**2 - 3. Let a be f(-6). Sort c, -4, a in decreasing order.\nAnswer: a, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - p + 63 = -3*g, -3*g = 2*p - 185. What is the smallest common multiple of 11 and g?\nAnswer: 649","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 988 is divided by 76.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1414c (base 15) to base 3\nAnswer: -10021101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1507*g + 7798 - 7798 + (0*g + 0*g - 2*g)*(-2 + 1 + 2).\nAnswer: 1505*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00152101 to five decimal places.\nAnswer: 0.00152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -68297, -273194, -614697, -1092812, -1707545, -2458902, -3346889?\nAnswer: -4371512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -86*a**2 + 87 - 172 + 85 to the form r + y*a + o*a**2 and give o.\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 6:57 AM?\nAnswer: 7:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*1*sqrt(66))\/sqrt(6).\nAnswer: 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from emmeeme. Give prob of picking 3 e and 1 m.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**21\/b*b*b)\/b**(13\/3)*b**(-20)\/(b\/(b\/b**(-22))*b*b))**(-5) assuming b is positive.\nAnswer: b**(-265\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.9 + 2. Let i = -5 - -1. Let w be ((-2)\/16)\/(2\/i). Is w greater than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (19\/(-2) - 1) + (-1)\/(-2). Let r = k - -10. Solve 4*h - 4 + r = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/(-1) + 4\/4. Suppose -6*y + k*y = 77. Calculate the greatest common divisor of y and 66.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 5*s + 256. Suppose 4*m - s - 48 = 0. Suppose 3*y + 71 = 7*o - 2*o, -7*o + 89 = y. Calculate the remainder when m is divided by o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7*((-4)\/(-26) + (-120)\/840*(-236)\/(-26))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13\/2? (a) 4 (b) -4 (c) 2\/7 (d) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-8) + 18\/28\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 3*t + 1 = 0. What is the remainder when 3 is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 4*s + 10. Suppose 2*w = 2*l - 6, -8*l - 9 = -9*l + 4*w. Let k(j) = -j - 1. Determine l*b(p) + 6*k(p).\nAnswer: -2*p + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11065*s**3 + 5764*s**3 + 5315*s**3.\nAnswer: 14*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k - 3. Let f(n) = -1. Let g(r) = c(r) - 3*f(r). Let v(w) = w. Give g(v(h)).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of 0*f**2 + 0 - 3*f - 1\/3*f**3. Let h(v) = 6*v**2. Determine h(u(y)).\nAnswer: 24*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*v + 20*v - 8 = 2*c, 0 = 3*v - c + 8 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9639)\/(-4284)*40\/(-6).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1148 = 140*m + 21*m + 140 for m.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -5392.82 to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 9*p. Let w(q) = -47*q - 10001. What is 5*a(j) + w(j)?\nAnswer: -2*j - 10001","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1054480686 and 1961?\nAnswer: 1961","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -476626, -476323, -476020, -475717, -475414?\n\"Answer: 303*d - 476929","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1.835 (b) -0.3 (c) 6.4 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/50 and 463*9\/(-180) + 2\/5.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21348\/11 - -1945. What is the common denominator of z and 149\/36?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 37 - 25. Let r be (5 - -1)*6\/p. Suppose q + r*z = 12, -2*q - 2*z = 2*q - 18. Solve -q*i = 2*l - 6*l - 7, -2*l - 3 = -i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -256 + 451. Suppose 0 = 2*p - 6, -l = -5*q - 3*p - 2*p. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.509 - 4859955\nAnswer: -4859955.509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + y = 42. Let i = -13 + y. Calculate the highest common divisor of i and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 - 5*o**2 + 6*o - 4. Let i be c(5). Suppose -4*q + 4 = -d, 3*d = q - 8 - i. What is the least common multiple of 16 and (1 - 6\/4)*d?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -335*x**4 - 1066*x.\nAnswer: -4020*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 225 and 702.\nAnswer: 17550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is (10\/(-45)*-3)\/((-8)\/(-1116)) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25886\/301 - 9900\/115\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of 0*g**2 + 0 + 4*g - 3\/2*g**3. Let q(n) = -7*n**2. Calculate s(q(a)).\nAnswer: 63*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1142772*s - 1 - 571390*s - 571380*s.\nAnswer: 2*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 89*d**4 + 640*d**2.\nAnswer: 2136*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -3*a + 9 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40)\/(-63) + (-930)\/1085?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 702 and 8002436?\nAnswer: 216065772","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12 + -16 + (-381)\/(-9). Are r and -0.1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.05928 rounded to 1 dp?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 10.3.\nAnswer: -4.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/18 - 2*(-742)\/(-36). Let d = q + 54. Suppose -2*o = 2*o - 20. What is the remainder when d is divided by o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -10 - (-6 + -31).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-2*((sqrt(468) - 1*(1*sqrt(468) + sqrt(468)))**2 + 3 + (sqrt(65)\/sqrt(5))**2 + (sqrt(468) - (1*sqrt(468))**2)) + -4).\nAnswer: 36 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 8, -3 in ascending order.\nAnswer: -6, -3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1216 + -735. Suppose -6*k + i = -65. Is 7 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 take away 209034395734?\nAnswer: -209034395734.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*n**2 + 3252*n - n**2 - 3771*n in the form t*n + c + p*n**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 30042849 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -4*z + 5. Let r(m) = 2681*m - 5. What is 2*h(n) + 2*r(n)?\nAnswer: 5354*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-161 + 294 - 148 + (3 - 4 + 2)*(-1 + 1 - 2))*(-3*y - 4*y + 4*y) as z + u*y and give u.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -22*g + 4. Let a be t(3). Let b = a - -89. Calculate the remainder when b is divided by (21\/(-14))\/(3\/(-28)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15*(-4)\/(-6)*(-2)\/4\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*b**5 - 40019*b**3 - 27217857*b**2?\nAnswer: -660*b**2 - 240114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127*t + 122*t = -2095. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4887898?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 37351, 37355, 37363, 37375, 37391?\n\"Answer: 2*t**2 - 2*t + 37351","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 94\/7 + -96\/7. Let p be (-2 - 7\/(-3))*-3. Let n = p - 0. Which is the nearest to n? (a) -3 (b) j (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + -1.2. Let w = 0.1 + s. Suppose -4*f - u + 16 = 0, 0 = u + u - 8. Which is the nearest to w? (a) 2\/3 (b) -1 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.18 (b) 0 (c) 12\/71\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -663673 < 41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/((q\/(q*q**(-2\/31)*q))\/q)*(q**(2\/11)\/q)\/q*q*(q**(-3))**(-2\/5))**(-5\/8) assuming q is positive.\nAnswer: q**(-707\/341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (202*x - 6 - 465*x + 6)*(5*x - 5*x - 18*x**3).\nAnswer: 4734*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**3 + 20*s**2 - 3*s + 14. List the prime factors of y(-20).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that f**3\/2 + 29*f**2\/2 + 55*f - 484 = 0.\nAnswer: -22, -11, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wfv when three letters picked without replacement from vvffwvfwfwffwvf?\nAnswer: 8\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iz when two letters picked without replacement from {q: 1, l: 1, w: 1, k: 1, z: 2, i: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + 36 + -8 + -61?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ecec when four letters picked without replacement from {e: 3, c: 3, z: 1}?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-37)\/3 - 32\/(-24). Let b be (4\/(-14))\/(d*5\/(-385)). What is the fourth smallest value in b, -5, 3, -2\/95?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/(-3))\/(4\/(-96)). Let l = 13 - h. What is the units digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2505, -18, 272 in descending order.\nAnswer: 2505, 272, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8467099792?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + q = -4*b - 3049, 20 = 5*b. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5780 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 83833*k*t**2*y**3 + k*y**3 - 5*k*y**2 + 2*t**2*y + 5*y - 10 wrt y?\nAnswer: 502998*k*t**2 + 6*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.7 + -2.3. Sort -2\/9, q, -3, 2 in ascending order.\nAnswer: q, -3, -2\/9, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3325*v + 2031*v - 241488 = 1160*v - 2512*v for v.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 + 9*x**2. Let h be k(-9). Suppose c - 379 = -h*c. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = o + 4*p, 4*o - 2*p = 2*o + 12 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 6 + 0)*(2 + 2*b - 2)*(-4*b + 2*b**2 + 4*b).\nAnswer: -4*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 128734?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*s**4*z - 8*s*z + 1428*z wrt s.\nAnswer: 32*s**3*z - 8*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -2*x + 100762, -20*x + 20 = -25*x. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15740 is divided by 5706.\nAnswer: 4328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -4. Let g(s) = -16*s - 5. Let k be g(-15). Let d be k\/45 + 1 + -6. Which is the third biggest value? (a) x (b) d (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-728))\/((-5601)\/(-291252)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*n = 28*n + 28*n + 20 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 45384 + -29933. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**3 - 18*u**2 - 9*u + 38. Let t be x(-17). Let b = -90 - t. Suppose -3*h = -88 - b. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30 - (30 + (-5 - 1))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + 1011001110110101000101?\nAnswer: 1011001110110101000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 60 and 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9.4*9999.4.\nAnswer: -93994.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum 56 and -53.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -59050 rounded to the nearest ten thousand?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -5, 21, 6, 0, 18, 14 in increasing order.\nAnswer: -5, 0, 6, 7, 14, 18, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 1)*(-32*g + 15*g + 21*g)*(-g - 2*g**3 + g).\nAnswer: -16*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that q**4\/10 + 322*q**3\/5 + 52799*q**2\/5 + 308154*q\/5 + 915849\/10 = 0.\nAnswer: -319, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of 0*w**6 - 20\/3*w**3 + 0*w**5 + 1\/12*w**4 + 23\/105*w**7 - 56*w + 0 - w**2. What is the second derivative of x(f) wrt f?\nAnswer: 552*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g**3 + 410*g**2 + 3600*g = 0 for g.\nAnswer: -8, 0, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20 - -23. Let f(p) = 1 - 7 - 5*p**2 + 4*p**3 + 4 - b*p**3. Determine f(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1a4 - -40?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -901*m + 8469 + 878 + 10901 = 1630*m for m.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*o**2*q**2 + 93230941*o**2*q + q**2 + 71548*q - 71 wrt o?\nAnswer: -4*o*q**2 + 186461882*o*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*b - 8*b + 14*b + 32*b as u*b + a and give u.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 + -56. Let f = 67 + h. Is 9 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/(-4) + (-5)\/10. Is w at most as big as -1\/107?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = 3*c - 3*u - 8, 4*u - 17 = 3*c. Let v = c - -11. Suppose -3*p - x + 470 = v, -5*p + p + 623 = 5*x. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -37*n - 1883. Calculate j(-50).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(2\/31)*y\/y**(3\/8)*(y**(-7\/6)\/y*y*y)\/(y\/(y\/y**8)*y) assuming y is positive.\nAnswer: y**(-6307\/744)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 7, y: 6}. Give prob of picking 4 l.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/5))**(-8\/5)*(w\/(w**(-14)*w)*w*w)\/(w**9*w) assuming w is positive.\nAnswer: w**(158\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3585*k**2 - 4580*k - 1460 = 0. Calculate k.\nAnswer: -2\/3, -146\/239","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 28? (a) -0.5 (b) -630 (c) 3\/4 (d) -4 (e) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 3*x - 93*x**3 + 31*x**3 + 2 + 61*x**3. Let z be (0 - (1 - 1))\/(-3). Let c(j) = 5*j + z*j - j**3 + 0*j**3 + 3. Determine -3*c(p) + 5*i(p).\nAnswer: -2*p**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 27ab2d (base 15) in base 4?\nAnswer: 13102022101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101 - -100011101?\nAnswer: 100010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 18*c + 201. Let o be y(-11). Solve -3*u = o*v - 6*u + 24, 2 = 2*v + 4*u for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w\/(w\/(w\/w**1))))**(-5)\/(w*w\/w**2)**(-8\/11))**(8\/3) assuming w is positive.\nAnswer: w**(-40\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -4*t**2 - 92*t - 88 = 0.\nAnswer: -22, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 383\/(-7) - (4 - (-78)\/(-21)). Let f = l - -61. What is the third derivative of -35*d**2 - 5*d**6 - 17*d**f + 14*d**2 + d**6 wrt d?\nAnswer: -2520*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yfddfwd. Give prob of sequence fy.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -58 - -57.1. Let f = -2.2 - -8.9. Let q = f - a. Round q to zero dps.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 138.3068547 milliseconds?\nAnswer: 0.00000022868196875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*o + 7*o + 4*o)*(1 - 1 - 2 + 0) to the form m + z*o and give z.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5 - 330\/70 - (-2987)\/7. Suppose -r = 7*v - 259. Which is smaller: -25 or v?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 375 is divided by 193?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -542*l + 7075. Give j(13).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 565295?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 350 = 3*t. Let l = -83 + t. List the prime factors of l.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes after 6:25 PM?\nAnswer: 9:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148*d = 150*d - 4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -41803 and 492.3.\nAnswer: -41310.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Do -201 and -202 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - v**2 + 1)*((-2 + 2 - 2*v)*(-v - 3*v + 5*v) + 39*v**2 - 2199*v + 227*v**2 + 2200*v).\nAnswer: -264*v**4 - v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -767 divided by 1392.\nAnswer: -767\/1392","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 times -0.0059?\nAnswer: -0.8496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p**2 + 6. Suppose -k + 8 = -2*w + 2, -5*w - 2*k = 33. Let x be v(w). Find the second derivative of 6*i**2 + x*i - 52*i + 0*i**2 wrt i.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -23*v**2 - 1718*v - 3344. Let t(f) = 8*f**2 + 573*f + 1114. Let q(r) = 3*a(r) + 8*t(r). Factor q(i).\nAnswer: -5*(i + 2)*(i + 112)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 4*i = -53, -3*v - 3*i - 521 + 476 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -135 + 159 + 5 + 30 + -6\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 PM and 11:43 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**4 + 660*y**3 - 648*y**2 - 1312*y.\nAnswer: -4*y*(y - 164)*(y - 2)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3691 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -134 + 190. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 7:11 PM?\nAnswer: 9:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:10 PM and 6:10 PM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-2 - (-2 - -4 - (10 + -1)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 166\/29, -2, -2\/7, 0.8, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 183744626.\nAnswer: 2, 13, 31, 277, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 8113000 to the nearest ten thousand.\nAnswer: 8110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2930*m**2 - 5 + 5 - 2154*m**2 to the form g*m + r*m**2 + o and give r.\nAnswer: 776","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.02 and -4757?\nAnswer: -95.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 AM and 11:47 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*l + 63*l - 225 = 0. Suppose 11*r = 5*r + 2400. What is the highest common divisor of r and l?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1699 = -9*z - 12*z + 1321 for z.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 474139 and 56726.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*-1*70635\/30. Let k = y + 9708. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6002 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -10 (c) 477 (d) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1110792844 to the nearest integer?\nAnswer: 33329","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 608942.\nAnswer: 3\/608942","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/69545 and -26\/35.\nAnswer: 69545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*f*w + 21566*f - 37*w + 256 wrt f.\nAnswer: 2*w + 21566","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/132 and -71\/44?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 4*x - 240 = 8*x, 268 = -5*y + 3*x. Let q = -41 - y. Suppose -21 = -2*s + q. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - 0*o - 15. Let t = 162.1 + -161.1. Sort t, 2, o, -0.1.\nAnswer: o, -0.1, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -106673232 + 2?\nAnswer: -106673230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*s - 112 + 28. Let g(c) = 13*c - 83. Let n be g(s). Which is smaller: n or -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of -7\/3*y**3 - 23\/20*y**5 + 0 + 0*y**2 + 0*y**4 + 25*y. What is the second derivative of s(h) wrt h?\nAnswer: -138*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-12 - 10 - -8 - -14)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 - 3. Let q be (1 - 0)*0\/k. Let o = 1 + -4\/5. Which is the closest to o? (a) 3 (b) -2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*((q**2*q*q)\/q)\/q*q*q**4)\/(q**(2\/17)\/q**(8\/5)) assuming q is positive.\nAnswer: q**(806\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(216)\/(sqrt(24)\/sqrt(2)))\/(-2*3*sqrt(6) - sqrt(6)).\nAnswer: -sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19531643 and 30876?\nAnswer: 2573","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from sdyshshhhshhhsyhh.\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/84*27\/(-9)*5\/15.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 1645*z**2 + 3*z - 197. Is g(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 - 2)*(0*k - 4*k + 2*k)*(5 - 2 - 4)*(2854 + 10737 + 9532 + 102).\nAnswer: -139350*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*h - 403*h**2 - 16189 + 8092 + h + 8097.\nAnswer: -403*h**2 - 5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/10 of a century?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52692407.\nAnswer: 101, 521707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + l = 5, -3*f + 2*f + 17 = 4*l. Let t be (-2)\/f*2367\/18. Round t to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x + 2 - 2 + (-40*x + 23*x - 17*x)*(-2 + 3 - 4))*(-2 - 1 + 1)*(-11*x - 2 + 3 - 3).\nAnswer: 2310*x**2 + 420*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 645620578?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -2*l - 2*l. Let x be 2*l - (-8)\/(-4). What is the third derivative of -2*m**2 - 2*m**5 + 3*m**5 + m**x wrt m?\nAnswer: 60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 82, -208, -690, -1364, -2230, -3288, -4538?\n\"Answer: -96*b**2 - 2*b + 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -371 + 416. Suppose 4*z = n + 83. Calculate the remainder when 127 is divided by z.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*b + 101*b = -222 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 24310 divided by -34\nAnswer: -715","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (((sqrt(252) - 3*sqrt(252))*5)\/sqrt(9))\/((sqrt(112)\/sqrt(4) + sqrt(28))\/sqrt(7)*-4).\nAnswer: 1 + 5*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 AM and 11:04 AM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - 51b0?\nAnswer: -51ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 54*h - 272. Let d be l(5). What is the biggest value in -22, -5\/4, 2, d?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, -17, -62, -147, -284, -485, -762?\nAnswer: -1127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - 11\/7)\/((-6)\/21). Let b be (2\/(y + -4))\/(2\/(-10)). What is the biggest value in 4, -3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 - -66. Suppose 2*a - 64 = q, -3*q - 158 = -3*a - p. Suppose 0*o = 5*o - a. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 121967?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -12203610 rounded to the nearest one million?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 5*x, -5*r - 12 = -5*x + 13. Let m be 4\/(-10) + r\/(-5). What is the units digit of (-80)\/(-12)*3\/m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25 - 23. Suppose 3*s + x*s + 5*d = 100, -92 = -5*s - d. Calculate the remainder when 29 is divided by 141\/s - 6\/(-36).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 32129988?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*o**4 - 7*o**3 + 7*o**3 + 4*o**4 - o**4 - 2*o**4 - 1 - 2*o**4 + 1 + (3 - 3 + 2*o)*(-3 + o**3 + 3) + 2*o**2 - 2*o**2 - o**4 - o**4 + 0*o**4 + 3*o**4.\nAnswer: 10*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and (6\/(-51))\/(165\/(-704055)).\nAnswer: 5522","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1215 and 1845?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, i: 2, n: 2, p: 1, v: 6, u: 1}. What is prob of picking 1 e and 1 p?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9.7 - 10.1. What is the closest to -1\/4 in -2, s, 0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/11, -2, -9, 3, -1 in descending order.\nAnswer: 3, 2\/11, -1, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3499.009cm to micrometers.\nAnswer: 34990090","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 0.016.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a. Let o be 4 + -1 + (0 - -8). Let k(g) = g**2 - 10*g - 9. Let n be k(o). Let i(b) = 0*b**2 + 0*b**2 - 2*b**2 - 5*b**n. Give i(f(c)).\nAnswer: -28*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 336075541 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 224.6 <= -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23664721*4.\nAnswer: 94658884","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2040995439783.1987 + -2040019389183.1987007. Let x = -976050545 + f. Let g = -55 + x. Round g to six decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 0, -2*n + n - 5*w = -72. Suppose 8*c - 4*d - 212 = 0, -28*c + 31*c - 3*d - 78 = 0. What is the least common multiple of n and c?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 - 16*p**2 - 22*p - 240. What is z(-13)?\nAnswer: -461","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/8*-3 - (-92)\/16.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 193797069 less than 252.75?\nAnswer: -193796816.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x + 4*x + 0*x + 4*x.\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2622821 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-33)\/(-77) + 4\/7 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -234 - -1171\/5. Solve 0 + 0*k + c*k**3 + 1\/5*k**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 3365 = -5*h, -d - 23*h + 25*h + 1107 = 0. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 5*t**2 - t - 10. Let w(k) = 6*k**2 - 11. Let h(x) = 4*o(x) - 3*w(x). Let j be 12\/(-18)*(-15)\/2 + 22. Let z be (-9)\/12*(-180)\/j. Calculate h(z).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + 3310302?\nAnswer: 3310302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q**4 - 27*q + 27*q)*(q - 5*q + 2*q).\nAnswer: -10*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4308104706?\nAnswer: 2, 3, 718017451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (-21 - -10) + 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -239*v = -4032 - 17956. Let t(b) = 85*b**3 - 2*b + 1. Let r be t(1). Let x = v - r. Calculate the smallest common multiple of 9 and x.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 7316?\nAnswer: 7316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 AM and 1:39 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of q**3 - 1. Let d(o) be the second derivative of 0 - 1\/6*o**3 + 0*o**2 + 4*o. Determine h(d(v)).\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 25*o**2 + 22*o - 46. Is 63 a factor of g(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 754171*z - 754148*z + 345 = 0 for z.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1362 + 1365. Sort -2\/13, o, -2\/53 in descending order.\nAnswer: o, -2\/53, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l - 3. Let g be x(3). Solve -g*b + 5*w - 2 = 0, 3*w - 1 - 2 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 0 + 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 346*f + v = 345*f - 1, 0 = 5*f - v - 25. Solve -34\/11*x**3 + 0*x - 12\/11*x**2 + 0 + 32\/11*x**f + 14\/11*x**5 = 0 for x.\nAnswer: -3, -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 21780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/343 and -59\/245.\nAnswer: 1715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 151 and 1110001?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19537387 is divided by 65?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jxxljxlxjxjxxl. What is prob of picking 2 l and 2 x?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b + 1. Let m be v(0). What is the units digit of (6\/1)\/2 + m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36514 and 164.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**2 + 2*y - 1. Let a(p) = -3*p**2 - 16*p + 12. What is -a(d) - 2*h(d)?\nAnswer: d**2 + 12*d - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, i: 5, a: 3}. What is prob of picking 1 i and 2 a?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 less than -56337821?\nAnswer: -56337820.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 134 - 223. Let v = c + 81. Is (-2)\/v - 2675\/(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/6 - -2)\/(3\/282*2). Calculate the highest common divisor of 3 and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes after 12:34 AM?\nAnswer: 4:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11 in -3340, -267, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3132 and 815076.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-304*u + 167*u + 158*u)*(u**2 - 2*u**2 + 2*u**2) to the form c*u**3 + o*u + n + q*u**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 11:47 PM?\nAnswer: 2:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 222\/333*9\/4\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*v - 3*l = 43*v + 6, -15 = 4*v - 3*l for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82 = -2*c + 3117*u - 3121*u, -3*u + 54 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6.76 and -0.86.\nAnswer: -5.8136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - 0) + 19 + -89 - (-14 - -32).\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 2227506.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.12*727\nAnswer: 87.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 70273, 140699, 211123, 281545?\n\"Answer: -i**2 + 70429*i - 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 9826*i - 4909*i - 4861*i.\nAnswer: 56*i - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 102964671 and 1236?\nAnswer: 411858684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {b: 4, e: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1318? (a) -0.3 (b) 0.29 (c) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**2 + 3840*r - 737280.\nAnswer: -5*(r - 384)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-70)\/84 - (8\/(-16) + 1)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2\/21 + 270*x\/7 + 21500\/21.\nAnswer: -2*(x - 430)*(x + 25)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the third derivative of d**4\/24 - 16*d**2. Let m(k) = -20*k**2. What is m(x(i))?\nAnswer: -20*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 4*v**2 + 6. Let w(u) = -4*u**2 - 5. Calculate -5*c(a) - 6*w(a).\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*20*50\/6755. Let y = k + 2\/193. Let f = -0.5 + 0.7. Which is greater: y or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 PM and 3:12 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29 + -27. Let j = 12 + -7. Solve 3*x + 12 = -j*a, -x - 2*a - 2 = t for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, 9, 71, 169, 309?\nAnswer: 497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -2*((sqrt(539) - 1*sqrt(539)*2 - sqrt(539)) + sqrt(539) + 5)*2)**2.\nAnswer: -1008*sqrt(11) + 8948","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 4*p**3 + 1 + 6 + (4 - 5 + 3)*(-5*p**3 + 2*p**3 + 2*p**3) - 2*p**3 + 0*p**3 + 5*p**3 + (5*p**2 - 3*p**2 - 4*p**2)*(-3*p + p + 4*p) + 2*p**3 + 1 - 1.\nAnswer: -5*p**3 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 116452*a**2 - 232900*a**2 + 116447*a**2.\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*c + 695 = -8*c + 4*w, 0*w + 3*w = 15. Calculate the least common multiple of 2\/8 + (-70)\/(-8) and c.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -72*n + 1019 + 925. What is the greatest common divisor of n and 504?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100110 (base 2) to base 16.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 + 21 - 10 - 2 - 7 + 6*t + 8*t**2. Let g(b) = b**3 - 7*b**2 - b + 2. Let l be g(7). What is the tens digit of n(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d + 1. Suppose 0 = 2*s + 3*s - 15. Calculate the remainder when w(s) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(51)\/sqrt(3))**2 + (0 + sqrt(1700))**2 - (sqrt(1377) - 1*sqrt(1377) - sqrt(1377) - sqrt(17))**2*-6*-6.\nAnswer: -58888","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from qiqqiiqqwiismii?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1102020 + 100?\nAnswer: 1102120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 + -12 - (0 - -1)) + 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, 2\/9, 0.01, -4, 5, -7\/283?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -5681*y**2 - y - 1. Let h be m(-1). Let d be (-4)\/30 + h\/(-195). Let b = -3 + d. List the prime factors of b.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 535*v - 265*v = 0. What is the nearest to 1.8 in 9, 3\/7, -1\/4, v?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-72))\/((-960)\/5120).\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, t: 1}. Give prob of picking 2 t.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - t = -11, 4*b + 3*t - 8 = 5*t. Find the second derivative of 14*k**2 - 11*k + b*k - 6*k**2 + 5*k**2 wrt k.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 84 - 46. Suppose 4*o - m = a, 5*o = -m - 2*m + 56. Suppose 2445 = -o*p + 13*p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13740 divided by 6?\nAnswer: -2290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 17260\nAnswer: -1\/8630","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that 3*f**5\/7 - 132*f**4\/7 + 1011*f**3\/7 + 9474*f**2\/7 + 21300*f\/7 + 15000\/7 = 0.\nAnswer: -2, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (80\/(-72))\/((-11)\/(99\/(-6)))*-9. Let f = 13 + -7. Solve -f*d - p = -d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -8869, -14582, -17141, -16546?\n\"Answer: 1577*n**2 - 10444*n - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 319834341 a multiple of 239?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rynsnsl. Give prob of picking 1 n, 1 r, 1 y, and 1 l.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 3:31 PM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 50*v**2 - 184*v - 683. Is u(-40) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 11396*z - 11383. Give q(1).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of 1\/8*y**4 + 0*y + 1\/6*y**3 + 0 - 2*y**2. Let j be q(2). What is the highest common factor of 14 and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 55005?\nAnswer: 3, 5, 19, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48 and 18360?\nAnswer: 36720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.029 + -27.229. Let s = i + 26.5. What is the third smallest value in -1\/7, 0.5, s?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 146611899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 5*l - 10 - 0, -3*c + 4*l - 10 = 0. Let d(y) = 1 + 4 + y + c. Let s be d(-5). Solve 0*q + q = -s for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -4*z**3 + 61*z**2 + 23*z - 16. Calculate the remainder when a(15) is divided by 62.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1 from 2900131.\nAnswer: 2900130.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*q + 1524 = 9752. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 51644?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2154094141.\nAnswer: 23, 797, 117511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 68 - 11 = -3*a, -87 = -3*c + 5*a. Does 6 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1820 + -440. Let x be (-6475)\/b - -5 - (-2)\/(-8). Which is smaller: x or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + z - 18 = 0, -4*g = -2*z - 7 - 13. What is the greatest common divisor of 14 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4483 in -4\/7, 3, -1\/1202?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 273 is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39 + (-2 - 3) - (3 + -5 + (3 - -9)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*d + 840 = 160*d. Solve 11 = g + 4*p - 2, d*g + 19 = p for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1*(-130)\/(-15)*9 + 6. Calculate the highest common divisor of 4074 and a.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y + 1. Let s(t) = t**3 - 5*t**2 + t - 1. Let j be s(5). Suppose j*w = 2 + 6. Give n(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in 75, -3, -314?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + d)*(2 + 3 - 2)*(-107*d**4 - 35*d**4 + 26*d**4) - 16*d**5 + 4*d**5 - d**5.\nAnswer: -361*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 6, 0, -0.3, 316, -2\/453?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 3*w - 5. Let z = -14 - -4. Let q = 15 + z. What are the prime factors of c(q)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -501 - -505. Let p = -329 + 989\/3. Which is the nearest to -1? (a) h (b) p (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 4*d = 5*b + 3, -5*d - 15 = b. Let c be (((-20)\/3)\/(-5) - 1)*b. Solve c = -4*i - 5*a + a + 8, -4*a + 8 = 5*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15*(-19)\/(-1425)*(-10)\/(-24).\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 739955505?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 47 + -47. Let m be 100\/(1\/3830 - x). Round m to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) -6 (c) 1 (d) 5 (e) 0 (f) -1145\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4711593?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 334 = 5*k + 3*l + 434, 4*l - 20 = k. Which is the closest to 0? (a) 0.05 (b) -2 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5096509.\nAnswer: 11, 463319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 22 = 20. Let g(v) = -v**2 + v + 1. Calculate g(k).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -3*f**2 - 2 + 2*f - f**2 + 4. Let r(h) = -9*h**2 + 3*h + 5. Let m(l) = -5*o(l) + 2*r(l). Suppose m(p) = 0. What is p?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6777.\nAnswer: 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - d + 4 = 0, -3*r - d + 1 = 0. Suppose -3*x + 64 + 182 = r. What are the prime factors of x?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-21)\/35*(-10)\/28. Let q = c + 2\/7. Which is bigger: q or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of -1\/9*x**2 - 2\/9*x**3 - 3 - 1\/6*x**4 - 2\/45*x**5 + 0*x. Factor o(y).\nAnswer: -2*y*(y + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 982.\nAnswer: 2, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6246 = -4*p + 5*x, -5*x = 5*p - 9*x - 7812. What is the greatest common divisor of p and 184?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-231))\/((7259\/357)\/61)?\nAnswer: -4\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 54.934 - 55. Let f = z - 52.934. Let u = 53.023 + f. What is u rounded to two dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (155 - 155 + 54*s**3)*(-3*s + 7*s + s).\nAnswer: 270*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*g**5 - 2*g**3*h + 2*g**2*h - 1044*g*h wrt g.\nAnswer: 240*g**3 - 12*g*h + 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/((21\/7)\/(-357)). Let u = 227 + w. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -97 at most as big as 75?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/36 and 0 + (-4)\/56*31.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 6*n**2\/11 + 2377218*n\/11 + 166375860\/11 = 0?\nAnswer: -396133, -70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-14)\/49*(-28)\/(-8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90295*j = -90290*j + 19 - 4 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l**3 - 7*l**2 - 15*l - 13. Let c be k(-6). Let v = 261 - c. Sort 28, 2, -5, v in increasing order.\nAnswer: -5, 2, v, 28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of w**4 - 345*w**2 - 2885*w?\nAnswer: 12*w**2 - 690","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/((-20)\/(16\/(-4))))\/1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 9*s**2 - 5. Suppose -5*k = -k - 20. Let i(v) = 13*v**2 - 8. Let p(h) = k*i(h) - 8*m(h). Let j(x) = x**2. Give j(p(q)).\nAnswer: 49*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13295?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, -5, 2, 24, -4129 in decreasing order.\nAnswer: 24, 2, -3, -4, -5, -4129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - 0*g + 2. Suppose -g*r - 16 = -i, -4*i - 2*r = -0*i - 54. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.172? (a) -2 (b) -0.3 (c) 2\/27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 696 and 22?\nAnswer: 7656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1 - 0.09. Let l = -23178 + 23178.3. What is the third smallest value in 0.4, -2\/13, o, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86*m + 289510 = -4*m + 3*m. What is the thousands digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8981*b**3 - 32323*b**2 - 92844031*b.\nAnswer: -53886*b - 64646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*(g*g**(8\/13)*g)\/g)\/g)**(-23))**34 assuming g is positive.\nAnswer: g**(-16422\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26 - -76. Suppose 5*u = 2*y + n, -u - 10 = -2*u + 3*y. Calculate the lowest common multiple of 2 and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 12 - 518*g**2 + 518*g**2 + 4022*g**3.\nAnswer: 4022*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 16, k: 1, e: 3}. What is prob of sequence ukeu?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 7) to base 11\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2355 - 126 = -5*a - 4*h, 5*h = 3*a + 1330. Let b = a + 484. Calculate the remainder when 387 is divided by b.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**0)**(-49)\/((u\/(u*u**5))\/(u\/((u\/(u**(-6)\/u))\/u))) assuming u is positive.\nAnswer: 1\/u","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**(-3\/4))**(2\/33) assuming n is positive.\nAnswer: n**(7\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-8))\/(1\/(-16)*-42).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 0 - 3\/7*b**2 - 18\/7*b = 0.\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/((-16)\/4)*19\/(-1).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -71*v + 67. Let b be x(-5). Let g = b + -407. Let h = 8 - 3. What is the smallest common multiple of g and h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 186 at most as big as 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1185732 to the nearest integer?\nAnswer: 1089","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 21679, 86721, 195125, 346891, 542019?\n\"Answer: 21681*w**2 - w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(-24)*3*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45165, 90281, 135353, 180381, 225365, 270305?\nAnswer: 315201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4178041750.\nAnswer: 2, 5, 101, 337, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 3*r**3 + r**2. Let m be (-4)\/(-14) - 36\/(-21). Let w be 0 + 1 + m + -2. Suppose 0 = 2*q - 5*k + 18, 2*q + 3*q - w = k. Give i(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11153462 (base 7) in base 10?\nAnswer: 971273","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xw when two letters picked without replacement from tpwkxwy.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the second derivative of z**6\/45 + z**5\/6 + 7*z**4\/18 + z**3\/3 + 4*z + 2. Factor a(o).\nAnswer: 2*o*(o + 1)**2*(o + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c + c**3 + 4*c**2 + 1 - 5 + 2. Let q be (69\/6)\/(1\/2). Suppose 3 = -n, -4*r + 6*r + 5*n + q = 0. Determine l(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*q = -26*q + 4 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-3)\/4)\/((-6)\/(128*18)). Suppose 23*y = 19*y + r. Does 12 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 + -6004827200.\nAnswer: -6004827205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000193721741 rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n + 1971 - 1881 = 0. Let f(b) = -2*b - 2. Calculate f(n).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1070 - -1063. Let u(w) = w**3 - 8*w**2 - 7*w + 2. Let o(s) = s**3 - 7*s**2 - 6*s + 2. What is p*o(c) + 6*u(c)?\nAnswer: -c**3 + c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 92\/97823 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.733, 0.4, 1\/75 in ascending order.\nAnswer: -3, 1\/75, 0.4, 0.733","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110001 (base 2) in base 14?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 + 5)*(-2)\/(-3). Let u be (-160 + 2)*(-1)\/w. Suppose 5*t = 151 + u. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i*i**(-23)\/i*i*i*i)**37\/(i**23)**(1\/32))**(-31) assuming i is positive.\nAnswer: i**(698089\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 18 + 68)*((-1 - 1 - 1)*(2*y - 2*y + y) - 30*y - 34*y + 78*y) to the form r + a*y and give a.\nAnswer: 572","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -910 (b) 161 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11832 + 18244. What is the thousands digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 c when three letters picked without replacement from {i: 5, l: 3, c: 8, t: 2, q: 2}?\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, -3, -6, -0.5 in descending order.\nAnswer: 2, -0.5, -3, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 - -3 - (25\/(-10) + 2). What is the biggest value in 3, 0.9, k, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 - -32. Let p = 57 - a. Does 15 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123972?\nAnswer: 2, 3, 10331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 433583\/314730 + 1\/6994. What is the common denominator of o and 10\/115 + 194\/2530?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of 11*c**5\/2 + 119*c**4\/12 + 352*c**2. Find the second derivative of u(x) wrt x.\nAnswer: 660","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one fifths of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 18*u + 5. Let w be n(4). Let r = 152 - w. Let z = -4648 - -4678. What is the highest common factor of r and z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -236, -239, -244, -251, -260?\nAnswer: -271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 518 divide 3034964662?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s + 2*s**2 + 4*s - 4*s - 2*s. Let u be c(-1). Suppose -u*l - 152 = -5*l. Calculate the highest common divisor of l and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 50 + 48 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -43 - -45. Let r be -1 + z + -2 + 6 + -3. Let 12*q + 5*q - 12 + 4*q**r - 9*q = 0. Calculate q.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -3 (b) 4\/1543 (c) 0 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**2 + 6*s**2 - 3*s**2)*(1 - 1 + 3*s)*(-64*s + 3 + 101*s + s).\nAnswer: 114*s**4 + 9*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 2*k - 8 = 0. Suppose -4*a + k = -4. Suppose 0*v = -2*v + a. What is the third biggest value in 2, v, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ljom when four letters picked without replacement from {r: 2, j: 1, o: 1, l: 1, f: 1, m: 1}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 PM and 10:32 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 21435.8 millennia?\nAnswer: 21435800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 5*k - 49. Give v(11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 528455.1ug to grams.\nAnswer: 0.5284551","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-19 + 420\/(-45))*(-6)\/5. Calculate the highest common factor of h and 1258.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*(2\/1 + 13). Let g be -1*15\/1*-1. Calculate the highest common factor of m and g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*b + 3 = 30*b + 42*b + 41*b + k, 0 = -3*b - 13*k - 23 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*q - 4*q + 56. Let a = -20 - q. Solve 4*t = 2*b - a, 0 = -4*b - 6 - 10 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-130)\/728*-28*(-48)\/100.\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - 2)\/(1 + -3). Let j(g) be the third derivative of 0*g + 0*g**3 - 1\/360*g**6 + 1\/180*g**5 + 2*g**2 + 0*g**4 + h. Solve j(c) = 0 for c.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jvvewenj. Give prob of sequence jw.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19343 - 14445. Calculate the remainder when a is divided by 69.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.051, 2\/5, 2\/3, 4, 1 in ascending order.\nAnswer: -0.051, 2\/5, 2\/3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6.243 and 0.6233.\nAnswer: 3.8912619","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 2556?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.2024092l?\nAnswer: 202.4092","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 10, 3*p - 2*p = 3*x + 15. Suppose p = 11*s - 19 - 3. What is the remainder when 19 is divided by s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*b**4 - 22*b**4 + 0*b**2 - 9*b**2 + b in the form z*b + p + x*b**4 + u*b**3 + h*b**2 and give h.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -9, -1\/7, -4, 1\/17, 1\/12?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 91005 = -5*g, -7*g = 2*f - 3*g - 36404. What is f rounded to the nearest one thousand?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (14\/(35\/5))\/(0 + 10)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1441 + 6975*b**4 - 3472*b**4 + 2*b**3 - b - 3560*b**4 wrt b.\nAnswer: -228*b**3 + 6*b**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30*14\/(-140))\/((-6)\/10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 98 and 20874.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**3 + q**3 + 0*q**3)*(-3 - 2*q + 3) - 2*q**4 - q**4 + 0*q**4 - 139*q**3 - 30*q**4 + 139*q**3.\nAnswer: -37*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4872 divided by -168\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 + (379877 - 144\/6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4434?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + (7 - 13) + 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**(-2)\/d)*d)**6\/(d*d**(-1\/6)*d*d\/(d*d*d\/d**0)) assuming d is positive.\nAnswer: d**(181\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16 + -11. Let u(d) = d - 4*d + a*d. Let b(z) be the third derivative of z**5\/60 + z**2. Give u(b(v)).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 22\/3, 1, -0.2, 0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 135 - 144. Let n = 0.26 - 0.16. What is the nearest to n in -4, 1, i?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**3 - 5*k**2 - 5*k + 3. Let z be o(6). Let q = -1 + z. Solve -2*x = -2*l + 3 + 5, 3*x = -2*l + q for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4429685 is divided by 41?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*t + 9*t + 2880. Is t a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-5)\/(-30)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*a - 52 - 22 = 0. Let d(l) = -l**2 + l. Let w(v) be the first derivative of v**3\/3 + 2*v**2 + 2*v + 30. Give a*d(b) + w(b).\nAnswer: 3*b**2 + 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 9118900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/506 and 89\/6670.\nAnswer: 73370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4340060 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - -79121831?\nAnswer: 79121832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*j = -497869*w + 497865*w - 88, -4*w = -5*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttttiiittt. Give prob of sequence tit.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -63*v**3 - 17*v**2 + 55*v + 8. Let b(t) = 32*t**3 + 9*t**2 - 30*t - 4. Give -11*b(i) - 6*s(i).\nAnswer: 26*i**3 + 3*i**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 23\/(-92) - 139\/4. Let f be 8*(j\/7 - 12595). Round f to the nearest 10000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7030*b**2 - 4172*b**2 + 3984*b**2 to the form a + g*b**2 + q*b and give g.\nAnswer: -7218","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 + 5*p**2 - 3*p + 17. Give v(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -10 - ((-36)\/12 + -4). Which is the third biggest value? (a) -0.32 (b) i (c) 4 (d) -0.5 (e) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 - 4*n**2 - n. Let l = -15 + 8. Let c = l - -11. Determine h(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 4, -16, -58?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -37\/5 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 1. Let m = 5 - t. Let v = 5.56 - 0.56. What is the third biggest value in m, v, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 210333\/22 + -9557. Calculate the common denominator of s and 11\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 48979 - 84517. Let h = -50397 - o. Is 2*(h\/(-12) + 2\/8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 36? (a) -0.3 (b) -0.5 (c) -2\/7 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5 + 1*(2 + -5). Let a(h) = 1 - h**2 + h + 1 - 4*h. What is a(f)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zar when three letters picked without replacement from {a: 4, u: 3, v: 2, r: 7, z: 1}.\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 277 a factor of 576555556?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -530 - -471. Which is smaller: -55 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25 - 13. What is the remainder when (-970)\/(-14) - (-10)\/(-35) is divided by 8\/a + (-140)\/(-6)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4064 and 944.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (0 - -1) - (-5 + 4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of -i**6\/45 - i**5\/15 + i**4\/6 + 17*i - 4. Let m(o) be the first derivative of r(o). Factor m(p).\nAnswer: -2*p**2*(p - 1)*(p + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 774557 is divided by 333?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 AM and 10:04 PM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 130811952?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.8 + 0.92. Let y = x - 0.02. Let f = -6336.1 + 6336. What is the nearest to 0.1 in y, f, 11?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 at least as big as -76\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 + 4\/6 + (-7453)\/87. Which is bigger: f or -80?\nAnswer: -80","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2503 - 2492. Solve 0 = -10*m - p + 41 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(-39) - (-24)\/16*1\/(-3). Which is the closest to -4? (a) 1.8 (b) 5 (c) -2\/11 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 34*y - 27. Let s(a) = a**2 - 4*a - 2. Let u be s(2). Let o be k(u). Let t = o - -488. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 27 in -6, -0.5, -318, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 4*y**4 + 36*y**3 - 112*y**2 - 1776*y - 4032 = 0?\nAnswer: -6, -4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 - 17. Let g be (-59 - y) + 0 + -2. List the prime factors of g\/(-3) + 20\/(-30).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(17\/26)\/(-17).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15113506.\nAnswer: 2, 659, 11467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(363)*1 + 3.\nAnswer: 3 + 11*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.18*-0.2.\nAnswer: -0.236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of s**4\/8 - 2*s**3 + 2*s**2 - 19. Let h = 14 + -7. Let p be i(h). Solve 0 = -3*q - p, 0*b = b - 5*q - 19 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 2*o + 2. Let m(n) = 1 + 2 + 4. Let c(y) = -8. Let w(l) = 6*c(l) + 7*m(l). Suppose -3*v + 11 = 23. What is v*w(g) + k(g)?\nAnswer: 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -94 - -28. Let x = g + 175. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12241592 and 2225744.\nAnswer: 24483184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102012 (base 3) to base 12.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, 4\/11, -52\/9, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 12:04 PM?\nAnswer: 3:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/(i\/(i*i*i\/(i*i**(-7\/4))*i*i))*i)\/(i*i\/(i**(-6\/11)*i)))\/(i**(-2\/11))**(-25))**28 assuming i is positive.\nAnswer: i**(203\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1201990 is divided by 957?\nAnswer: 955","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a7 + 330?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -16, -23, -32, -43, -56, -71?\n\"Answer: -i**2 - 4*i - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*g**3 - 2*g - 18*g**3 - 2*g**4 + 5346 - 5348 in the form i + m*g**3 + q*g**2 + t*g + y*g**4 and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 + 0*i + 1418*i**3 + 0*i**2 + i. Let y be h(1). Is 4\/18 + y\/18 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4698499nm in millimeters?\nAnswer: 0.0000004698499","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h**(-1\/6))\/h)\/h*h*h*h**(-4)\/h*h)\/(h**(-2))**(-2\/21) assuming h is positive.\nAnswer: h**(-47\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1837\/44088)\/((-42)\/(-28)*(-26)\/(-18))?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 131298660 and 783.\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(9\/12)*(-15)\/(-100).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 32*a - 5 + 19*a + 17*a.\nAnswer: 68*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 1 + -2 + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.5 + -1. Let d be (-24)\/(-9)*(-3)\/40*-2. Sort d, -0.9, 1\/2, i in decreasing order.\nAnswer: 1\/2, d, i, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 91 divide 10696?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -30903*y**3 - 1 + y**2 + 2*y - y**2 + 2*y + 31203*y**3 in the form a*y**3 + g*y**2 + j*y + w and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 594856?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 3*t + 80 + 23, -f = -2*t - 18. Suppose f*s - 25*s + 20 = 0. Find the third derivative of 7*d**4 + 19*d**4 - 10*d**s - 2*d**2 + 18*d**2 wrt d.\nAnswer: 384*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -2*z + 8. Suppose 0 = -0*l - 2*l - z. Let u = 17\/117 + -10\/39. Is u > l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, y: 8, n: 2, x: 7}. Give prob of picking 1 y and 2 n.\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.9543 - 0.7543. Is 1501 > z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/7 in -0.2, 5, 3\/2, -14.66?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 87, -62, 2\/5 in decreasing order.\nAnswer: 87, 2\/5, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101001202000112 (base 3) to base 13.\nAnswer: -1153706","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.04 + -3.04. Let f = 3 - 2. Let r = f + -2. Which is bigger: r or j?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -212.363 rounded to the nearest integer?\nAnswer: -212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.231 * 229\nAnswer: 52.899","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 2 + (1 - (4 - 4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -2*v + 7, -5*b + 0*v + 2*v + 23 = 0. Solve -4 = b*w + 2 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36049 divided by -753.\nAnswer: 36049\/753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2431)\/119 - -23)\/(81\/1890)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/880 and -103\/352.\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**2 + 11*d - 28. Let i be z(8). Put 5, i, 12, -2 in increasing order.\nAnswer: i, -2, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3.25971 microseconds?\nAnswer: 0.00000325971","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -39459 or -394591\/10?\nAnswer: -39459","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11009791?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -260 + 260. Let u(i) be the first derivative of 0*i - 1\/4*i**4 + 1\/2*i**2 + c*i**3 + 2. What is the second derivative of u(m) wrt m?\nAnswer: -6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven quarters of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 + 17*d**2 - 111*d - 2. Let v be g(5). Which is the closest to 3\/2? (a) v (b) -2\/3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -20.2 - -17.2. What is the smallest value in 0.24, u, 2\/5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 517266 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 99 + -843. Let n = x - -743.99999683. What is n rounded to seven decimal places?\nAnswer: -0.0000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -20*b**2*p**3 - 375*p**3 wrt b?\nAnswer: -40*b*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 40 - 39.6. What is the closest to -2\/3 in w, -1, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/1322618 and -23\/120238.\nAnswer: 1322618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2018, 4594, 7170, 9746, 12322?\n\"Answer: 2576*y - 558","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - m = -93 - 75, 4*u - 3*m - 672 = 0. Suppose 0*d = -2*d + 46. Let r = u - d. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 239 - 214 - (69 + -2) - (10 + (1 - 4))?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-6 - -3) - (1 - 5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.52 - 2.52. Is -2\/39 less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6100 is divided by 367?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13799554 at most 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 43777184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -17*y**2 - 4*y - 40. Let u(z) = -17*z**2 - 3*z - 40. Let i(g) = -3*m(g) + 4*u(g). Find the first derivative of i(o) wrt o.\nAnswer: -34*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -228, -227, -226, -225?\nAnswer: -224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 32252*w + 2315. Is v(18) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 482 - 156. Let s = 326.0000177 - q. Round s to 6 dps.\nAnswer: 0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the third derivative of 2\/9*r**4 + 1\/18*r**5 + 4\/9*r**3 + 0*r + 5*r**2 + 0 + 1\/180*r**6. Factor u(f).\nAnswer: 2*(f + 1)*(f + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 3475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1457216?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 111031 + 2?\nAnswer: 111033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 91066 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the third derivative of -w**8\/336 + w**7\/210 + w**6\/120 - w**5\/60 - 6*w**2. Suppose d(t) = 0. Calculate t.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(5*(sqrt(4617)*3)\/sqrt(1728))**2*1.\nAnswer: -115425\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -142, -110, 125?\nAnswer: -110","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13324*a**3 - a**2 + 3*a + 76 wrt a.\nAnswer: -79944*a - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 13052*v + 1957749. What is b(-150)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/18)\/((588\/21)\/(-1120)). What is the second biggest value in -0.4, 0, o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 5*r = -17, w = -2*r + 5*r + 11. Solve -3*x - 5 = -4*j, -4*j + w = -5*x - 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*a = -3 - 27 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11376.3 + -10341. What is k rounded to the nearest 100?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/((-16)\/12) + 11. Suppose t = 2*d + 4, -2*t + o = d + 2*d. What is the remainder when 10 is divided by t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(-14))\/((-4475)\/5012).\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7140 = 28*l - 7*l. Suppose -m = -5*q - 35, 2*q + 95 = 4*m - 3*q. Calculate the highest common factor of m and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 344.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 54.9 plus -40024?\nAnswer: -39969.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -3*j + 36290, 4*d - 3*j - 36722 - 108528 = 0. What are the prime factors of d?\nAnswer: 2, 29, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 333, 315, 287, 249, 201?\n\"Answer: -5*m**2 - 3*m + 341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 1055*n + 5463. What are the prime factors of d(17)?\nAnswer: 2, 11699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 273083 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109874 is divided by 2109?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j**2 + j - 2. Let q be a(-2). Suppose 0*x - 84 = -q*x + 3*u, 0 = -3*x + 5*u + 63. Let c = -15 + x. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -6090?\nAnswer: -1\/1218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 - -24319661963\nAnswer: 24319661962.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 + -11. Suppose 13*p - 50*p = -296. Solve p = l*q - q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 7, y: 2, g: 1, a: 2}. What is prob of picking 2 y?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 - 2*v**2 + v + 15. Let f = -15 - -15. Let b be o(f). Solve -z + 5*z = x - 25, -5*z - b = 2*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005617 rounded to 4 decimal places?\nAnswer: 0.0056","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34493712 divided by -11878.\nAnswer: -2904","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 - -17) + -3 - 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + 6\/2 - 2. Let y(o) = 1 + 5*o + 6 + o**2 - 3 + x. Let k be y(-6). Solve -n - k = -6*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7.33*35\nAnswer: -256.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1058, 1272, 1628, 2126?\nAnswer: 2766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 765 and 30906?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:02 AM and 11:29 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 129445 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*s - 11 + 11 + (1 - 2 + 0)*(-4*s + s + 2*s) - 3 + 3 + s + 2*s + 5*s - 6*s)*(-s**4 + 3*s**4 - 4*s**4).\nAnswer: 4*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/16? (a) 0.2 (b) 6 (c) -5177 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j**5 - 32809088*j**4 + 89703108773404*j**3 - 81752542835403948704*j**2 + 654015229619155129600*j - 572262776486827145216 = 0. What is j?\nAnswer: 1, 7, 2734088","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 223080?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooioisossogogoog. Give prob of sequence isg.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 12935490 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 2544 (base 8) to base 13\nAnswer: 822","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2 + 10)*(-2)\/6. Let p be 1*(c - -2) - -7. Suppose 6 = -2*f - 2*i, -p*i = f - 0*f + 11. What is the third smallest value in 7, f, -0.2?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1641 is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -385\/977884?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 3*j - 3*c - 3 - 7 = 0, 2*c = -4 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24 + 28. Let n = -15\/34 - 1\/17. Which is the second smallest value? (a) j (b) n (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1135 + 2?\nAnswer: 1140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 - 8. Suppose -2*k + 20 = 5*n, -w*k = -8*k - 4*n + 84. Suppose -4*a - k = -y, 4*y + 2*a - 61 = -a. Calculate the remainder when 45 is divided by y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-64)\/(-60)*6)\/(1\/5). Let x = i + -32. Suppose -s - 4 = x, -4*c + 0*s + 380 = 5*s. Does 20 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12794)\/(-24) - (-3 - -5). Let w be 1537\/(-3) - (2 - 0). Let q = w + i. Calculate the common denominator of q and 77\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -1\/7, -2\/3, -64, -209?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13103 (base 5) in base 14?\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x and 1 p when four letters picked without replacement from fpuijuuxiiuupjpjp.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*c - 39*c = 29*c - 1100 for c.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 7:39 PM?\nAnswer: 6:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of -49*k**4\/18 + 2338*k**3\/3 - 83667*k**2 - 3261*k. Factor b(m).\nAnswer: -2*(7*m - 501)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1b4 + 159a?\nAnswer: 1770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.09, -1\/4, -240 in decreasing order.\nAnswer: 0.09, -1\/4, -240","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 3544*k + 43026. Determine t(-12).\nAnswer: 498","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 - 81*l**2 - 88*l - 638. Let d be c(-80). What is the nearest to 6.91 in -1, d, 0.1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1036 - 2764*m**4 + 111*m**2 - 2777*m**4 + 5542*m**4 + 94*m**2 wrt m.\nAnswer: 4*m**3 + 410*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 379608785?\nAnswer: 5, 75921757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (643 - 675 - (1 + -11)) + (-1 - -1).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/5*b**2 + 0 - 96\/5*b.\nAnswer: 4*b*(b - 24)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 560*h = 534*h + 2184. Calculate the highest common factor of h and 126.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + 0 + 3 - (sqrt(17) - (sqrt(85)*2 + sqrt(85))\/sqrt(5)) - (sqrt(2057) + (-1 + sqrt(2057) - sqrt(2057)) + 3 + sqrt(2057) - sqrt(2057))**2*1.\nAnswer: -2058 - 41*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 19880464, 19880475, 19880492, 19880515, 19880544?\n\"Answer: 3*c**2 + 2*c + 19880459","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -113 + -53134?\nAnswer: -53250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sl when two letters picked without replacement from {s: 9, l: 3}?\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -14\/3 (b) 36 (c) 24\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -i**2*r*z**2 + 2*i**2*z - 835*i*r**2*z**2 + 3914*i*r**2 wrt z.\nAnswer: -2*i**2*r - 1670*i*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1380?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 29 = 5*w. Suppose 24 - 76 = -3*c - q, -4*c + 4*q + 64 = 0. Let m = w + c. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2.6 (b) 0.4 (c) 0.05 (d) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9.4, 0.2, -8\/9, 8\/25 in descending order.\nAnswer: 8\/25, 0.2, -8\/9, -9.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 12 = -p. What is the second derivative of 35*q - 5*q**p - 8*q**3 - 21*q wrt q?\nAnswer: -78*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 3*n + 30. Let y be q(-6). Suppose 20 = -4*m, 3*w - m = m + 34. Let u = w + y. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3993a (base 15) to base 6.\nAnswer: 3541214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 + 9*a**2 - 16*a - 4. Let l be h(-11). Let m be ((-15)\/l)\/(3\/4). Let u = -35\/2 - -18. What is the nearest to u in 5, m, 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*f + 18*f - 50 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.4 + -2.6. Let z = j - -3.2. Let g = z + 0.8. Sort -0.5, 0.3, g.\nAnswer: -0.5, 0.3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 7*v + 120 = 0. Let k(g) = 15*g - 126. Let o be k(9). What are the prime factors of ((-102)\/5)\/(o\/v)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, g: 1, c: 1, k: 5, y: 3, p: 3}. What is prob of sequence cgpp?\nAnswer: 1\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.032 - -0.008. Let b = 2.44 + -1.94. What is the closest to -2\/7 in -5, f, b, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1101000001001001110110 (base 2) to base 15\nAnswer: -476218","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/64)\/(5\/160).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 216503991?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2452944*a**3*w**2 - 4528*a**3*w + a**2*w + 7*a*w**4 + 1156*a*w wrt w.\nAnswer: -4905888*a**3 + 84*a*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -1039*a**3 - 6*a**2 - 3*a - 312. Let o(j) = 1035*j**3 + 8*j**2 + 4*j + 313. Let u(x) = 3*o(x) + 4*s(x). Find the first derivative of u(l) wrt l.\nAnswer: -3153*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of 0*w**4 + 0*w**3 + 0 - 1\/120*w**6 + 2*w**2 + 0*w + 7\/12*w**5 + 1\/35*w**7. What is the third derivative of k(r) wrt r?\nAnswer: 144*r - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-27)*p**(-19))**(-9\/10) assuming p is positive.\nAnswer: p**(207\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2871877387 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 AM and 10:11 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 5*z**5 - 615*z**4 + 21135*z**3 - 119105*z**2 - 750120*z - 844740 = 0.\nAnswer: -2, 13, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 153, -3 in descending order.\nAnswer: 153, 16, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 30095489 + -30095489.38387333. Let i = -82.61612626 + z. Let c = 83 + i. What is c rounded to seven dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 7 + 16 - 20 - 6*n + 2*n. Let v = -1108 - -1110. Calculate o(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2*k - 24. Let b be (-2)\/(-20) - k\/44. What is the second biggest value in 1, b, -0.036?\nAnswer: -0.036","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 - -13. Suppose x = -4*p + 57, -p + x = u*p - 41. Calculate the greatest common divisor of p and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -m**4\/6 - 7245*m**3 - 7367873*m**2\/6 - 49595104*m + 218491800 = 0.\nAnswer: -43300, -87, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-5)\/(-35))\/((-5)\/(-35)). Sort u, -4, 4, -1.\nAnswer: -4, -1, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2011655 is divided by 316?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 AM and 4:44 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2108 - 2800.1205182.\nAnswer: -4908.1205182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3*(-2)\/(-3) + 0. Let p = 30\/17 - 1\/68. Which is smaller: w or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of -w**4\/4 + 2*w**3 - w**2 - 3*w + 34605. Let p(k) = k**3 + 6*k**2 - 2*k - 8. Let h be p(-6). Determine o(h).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(704) - (-2*sqrt(704)*-2)**2).\nAnswer: -33792 + 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -48647, -97331, -146039, -194771?\n\"Answer: -12*w**2 - 48648*w + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xzzzvvkgiiig. Give prob of sequence kviv.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 11 - 2*(-1 - 0). Let g be -29 - -28 - 1*-52. Suppose -s*m + 16*m - g = 0. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 86\/(-11) + 9 + -1.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do 512026\/99 and 5171 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of 0 + 0*s**2 - 33\/2*s**3 + 32*s. Let g(b) = 2*b**2. Calculate g(i(y)).\nAnswer: 19602*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + 3 - 23, 2*t - 136 = -4*o. Suppose 5*q - 60 = 5*u, q + 4*q - 2*u = t. Which is the nearest to q? (a) -0.1 (b) -4 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d. Let c(k) = k**2 + 76058409*k. What is c(i(j))?\nAnswer: 4*j**2 + 152116818*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**3 - 2*g**2 + 3*g. Let r be m(-3). Let p be (8\/60)\/(4\/10). What is the closest to r in p, 5, -2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.702 - 0.398. Which is the smallest value? (a) 2 (b) w (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1305*q - 436*q - 426*q - 430*q.\nAnswer: 13*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 - 6c28b?\nAnswer: -6c287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a**2 - 2*a**2 + a**2.\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + z + 83 = 0, -4*z = 2*k - 2*z - 34. Let g be 1\/3*-17*-6. Let r = g - k. Is r a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -4*h**2 + 18*h - 18. Let p be j(4). Let l(q) = q**3 + 21*q**2 - q + 31. What is the tens digit of l(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-3*((sqrt(66) - (sqrt(66) - 3*sqrt(66))) + sqrt(66) - sqrt(66)) + sqrt(66))*6)\/((sqrt(54) + (sqrt(54) - sqrt(432)\/(-1*sqrt(8))))\/(1*sqrt(441))).\nAnswer: -672*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in three fifths of a second?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/13, 1, 24, 4\/9.\nAnswer: -6\/13, 4\/9, 1, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/3, 0.3, -2, -5.32 in descending order.\nAnswer: 0.3, -5\/3, -2, -5.32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 162*c*u**2*z + 98*c*z**3 + 112*u**2*z**3 + 422*u*z**3 with respect to c.\nAnswer: 162*u**2*z + 98*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, -9, -930473.\nAnswer: -930473, -9, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*o**3 + 4*o**3 - 2*o**3 + (2*o**2 + 0 + 0)*(-2*o + 2*o - 2*o) + o**3 + o**3 - 17*o**3 to m*o**2 + y*o**3 + h + x*o and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**2 + 2653305*r + 7959942.\nAnswer: -3*(r - 884438)*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0040788 rounded to four dps?\nAnswer: 0.0041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6261bb (base 12) in base 3?\nAnswer: 2220111111122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (56\/(-252))\/(100\/7650).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.083 and -0.0483373.\nAnswer: -0.0040119959","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -26.6, 3, -5, 0.2, 1.7, -2\/7 in descending order.\nAnswer: 3, 1.7, 0.2, -2\/7, -5, -26.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/((-1 - 0)*3). Suppose 0 = 3*v + i - k*i - 157, 267 = 5*v + 3*i. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the third derivative of -g**4\/24 + 17*g**3\/6 + 2*g**2. Let k be y(11). Solve f = -f - k for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-3 + 63\/12)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 divided by 16?\nAnswer: 21\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1468 - 23*t**2 - 1437 + 2905.\nAnswer: -23*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7034930 by 5.\nAnswer: -1406986","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of -a**6\/4 - 93*a**5\/5 + 387*a**4\/8 + 31*a**3 - 96*a**2 - 922. What is w in q(w) = 0?\nAnswer: -64, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pxy when three letters picked without replacement from {o: 5, p: 1, v: 3, x: 1, j: 2, y: 3}?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*d + 90, -7*d + 83783 - 84309 = 100*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiri when four letters picked without replacement from {i: 3, r: 1, w: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 + 2*r**2 + 2*r + 6. Let p be j(3). Suppose p*b - 4*b - 10 = -3*s, -10 = -4*s + 2*b. Solve 0 = -0*k + s*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*f = -45*f - 11316. Sort -4, f, 0 in increasing order.\nAnswer: f, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + t - 2 = 2*z, 0 = -2*z - 4*t. Find the third derivative of u**z + 7*u**2 - 4*u + 4*u - 11*u**2 wrt u.\nAnswer: 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 236, 201, 144, 65, -36, -159?\nAnswer: -304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 + 1 = -204*n + 205*n for n.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -142, -579, -1312, -2341, -3666, -5287, -7204?\n\"Answer: -148*x**2 + 7*x - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {y: 2, k: 1, n: 4, l: 1, e: 3}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73869950.\nAnswer: 2, 5, 7, 11, 2741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/((-856)\/212 + 1 + 3)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 - 75*g - 1378. Give v(-48).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1763 - 51033?\nAnswer: -52796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -2*o + 4. What are the prime factors of 6*(o\/6 - -1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*b = -2*n - 16*b - 30, 3*n - 2*b + 25 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 34 = 14. Let d = 8 - c. Put -3, -5, d in increasing order.\nAnswer: -5, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6692504)\/(-64) + (-3)\/8 - -11 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 122\/3 + 368\/3*z + 2*z**2 = 0.\nAnswer: -61, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 4 + (-1 - 1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dssulluslullllduslu. Give prob of picking 1 u, 2 d, and 1 l.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36 and 18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*f + 3*p + 47, -14*f = -12*f + 296*p - 300*p + 14 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*q**4 + 47804*q**3 + 194266800*q**2 + 283088520000*q + 59556276000000.\nAnswer: 4*(q + 251)*(q + 3900)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 54 = -5*o + 52, -4*o = 5*u + 5 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29 + 29. Let b(n) be the second derivative of -2*n - 1\/6*n**4 + 0*n**2 + z*n**3 + 0. Let f(c) = -c**2. What is f(b(x))?\nAnswer: -4*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100781.\nAnswer: 31, 3251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -3*j + 4*m + 27, m = j - 6 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 445391.\nAnswer: -3\/445391","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7993 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 1*((5 + sqrt(637) + sqrt(637) + 0 - (-2 + 1 + sqrt(637)))**2 - ((sqrt(637) + sqrt(637) + 0)*2 - sqrt(637)*-2*-1)**2) + -2.\nAnswer: -1881 + 84*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -6 times 137383988\nAnswer: -824303928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 11:36 AM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.2, 6\/5, -31740338?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wqqq when four letters picked without replacement from {w: 3, q: 17}?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 x, 1 z, and 1 q when four letters picked without replacement from {h: 5, x: 1, q: 3, b: 4, k: 2, z: 1}.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -2) + 11 + -28 + 15.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -73418, -72393, -71368, -70343, -69318, -68293?\n\"Answer: 1025*o - 74443","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 695 is divided by 175.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a**3 + 2*a + 4*a**4 + 9*a**3 + 887689 - 887690 + 4*a**2 - a**4 to the form d*a**4 + p*a + c + x*a**3 + w*a**2 and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 39 = 15. Let f(x) = 5*x**2 - 9*x + 16. Let m be f(u). Let o = m - 173. Does 13 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3\/5 + 460992*z**2\/5 - 2581320*z + 90343456\/5.\nAnswer: -2*(z - 230468)*(z - 14)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 + o - 9. Let v(h) = 6*h**2 + 15*h - 151. Give 5*u(b) - v(b).\nAnswer: -b**2 - 10*b + 106","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 1.946883 years?\nAnswer: 0.001946883","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -18, -4, -10, -1.\nAnswer: -18, -10, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ldss. Give prob of picking 1 l and 1 s.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjjjjjjj. What is prob of picking 3 j?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 452059814.\nAnswer: 2, 226029907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + 0?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4538000 rounded to the nearest one hundred thousand?\nAnswer: 4500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9417149um in kilometers?\nAnswer: 0.0000000009417149","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -t**4 - 2572254*t**3 - 2205491735640*t**2 - 630335419295472800*t + 3782091914030928000 = 0.\nAnswer: -857420, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 42818 = 454. List the prime factors of b.\nAnswer: 2, 17, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 - 4*h**2 + 3*h - 1. Let y be t(2). Let n(a) be the second derivative of 1\/6*a**3 - a**2 - 1\/4*a**4 - 1\/20*a**5 - 2*a + 0. Calculate n(y).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j - 34 + 29 + 4*j - 103 to u + h*j and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/50562 and -179\/1590.\nAnswer: 252810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 19\/4 of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + 4 + -11*39\/91. What is the nearest to 1 in -0.4, -2\/17, b, 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 867090 a multiple of 210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + s + 4*z = 230, 2*s = -z + 233. Let f = 31 + 83. Let r = s - f. Let q(b) = -b**2 + b - 3. Give q(r).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -152 + 308 - 156 + 2*h**2.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 236*z + 4222 + 5699 + 735 + 672 = 0 for z.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*z + 21*x = 3*z + 25*x - 280, 0 = -4*z + 3*x - 214 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 107 + -93. Solve l = -x + 9 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from afrarruaarcram?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k**4 + 2*k**3 - 23*k**3 + 3*k**4 + (-3*k + 4*k + k)*(-3*k**3 - 2*k**3 + 3*k**3) to c + i*k + s*k**4 + u*k**2 + z*k**3 and give z.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10435 + -6084. Does 75 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-9) - 200\/(-12). Suppose 4*z - 8*z = -h. What is the lowest common multiple of 3 and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 26 (b) -92 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12628 and 1793?\nAnswer: 2058364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x - 6. Suppose 5*f + 3*k - 2*k = -74, 65 = -4*f + 5*k. Let d be q(f). Let v = d + 0. Calculate the greatest common divisor of v and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 373539*t**3 - 183129*t**3 - 184524*t**3.\nAnswer: 5886*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -4\/5 (b) -200 (c) -5 (d) -36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11425 + 2154?\nAnswer: 13612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1039188719 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 + 52 = 6*l. Suppose -5*w + l = 3. What are the prime factors of 43\/w - (-6)\/(-4)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 r when two letters picked without replacement from {r: 6, g: 2}.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110011 (base 2) to base 5.\nAnswer: -201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7317 is divided by 41?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -136868*d + 1642425. What is n(12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d**2 - d. Let p(g) = g + 13. Let v be p(-11). What is the units digit of m(v)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 2*sqrt(95)\/(sqrt(5) + (sqrt(180) - (sqrt(180) - (sqrt(180) - 4*sqrt(180) - sqrt(180) - sqrt(180)) - sqrt(180)))).\nAnswer: -2*sqrt(19)\/23 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9588 + -9591. What is the nearest to 2\/7 in 3\/5, 0.4, p, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 0.38274.\nAnswer: -0.076548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.88278 at most -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7038 divided by -3.\nAnswer: -2346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of 5*m**4\/12 + m**3\/3 - m**2. Let u be h(2). Suppose -4*c = -3*c + 2*p - u, 0 = 5*c - 2*p - 86. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - 132?\nAnswer: -137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9.269 * 4669.\nAnswer: -43276.961","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 - 9*a**2 + 24*a + 149. What is y(-6)?\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*w - 4*t = -25*w + 1889, 4 = 4*t. What are the prime factors of w?\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**12)\/(g\/g**14) assuming g is positive.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 355438?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/4 and -137\/5712.\nAnswer: 5712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.492 - 155?\nAnswer: -155.492","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/((w**(-21)*w*w)\/w)*w*w**(1\/6) assuming w is positive.\nAnswer: w**(133\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of 188*g**3\/3 + g**2 - 1172*g - 34. What is the derivative of h(b) wrt b?\nAnswer: 376*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7696.26948 rounded to the nearest 100?\nAnswer: -7700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -10070 divided by -265?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1716 divided by 4\nAnswer: 429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 >= -2315?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -3*q + 16. Let j be q\/(-2) - (1 - 0). Let z(x) = x**2 + 2 - 3 + 2*x - 2. What is z(j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + c + 129 = 0. What are the prime factors of c?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 8*p**2 + 4*p - 12. Let m(x) = -2*x**2 - x + 3. Let a = -42 + 33. Calculate a*m(w) - 2*z(w).\nAnswer: 2*w**2 + w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -118, -114, -100, -70, -18, 62?\nAnswer: 176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*z - 14*z + 21*z + 3*z as v + x*z and give x.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from arzarrraagaaag. What is prob of picking 1 z and 1 a?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*l + 60 = -95. Suppose 21011 = 4*n + 5*b, 2*n - l*b - 6896 = 3587. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -102, -394, -862, -1500, -2302?\n\"Answer: x**3 - 94*x**2 - 17*x + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, g: 5, p: 6}. Give prob of sequence agap.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -2\/9 (b) 0 (c) 0.3 (d) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 770570\nAnswer: -1\/770570","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 18 - (-17 + (44 - 3) - (16 + -1))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -2*q**3 - 7*q**2 + 14*q + 2861. Let w(b) = b**3 + 4*b**2 - 8*b - 1430. Determine -7*w(r) - 4*y(r).\nAnswer: r**3 - 1434","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1156 and 8908.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-19)\/(-114)*30 - -7559.\nAnswer: 2, 31, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -312 divided by -15903\nAnswer: 104\/5301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 504654.\nAnswer: 504654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.8 - -1.48. Let l = -0.679747 + g. What is l rounded to four dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -318.017 - -0.017. Let h = k + 331. Is h not equal to -0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 - 4)*4 - -114. Let o = 162 - l. Let q = o - 33. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -10*g**3*x**3*y**3 + 47*g**3*x**3*y**2 + 14*g**2*y - g*x**3*y**3 - 2*x**3*y**3 wrt g?\nAnswer: -60*x**3*y**3 + 282*x**3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4734021 is divided by 204?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 4*o. Let u(k) = -k + 588229. Calculate t(u(i)).\nAnswer: -4*i + 2352916","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of -h + 1\/2*h**4 + 0 + 0*h**3 + 0*h**2. Let p be 5\/20*-2 + 21\/(-42). Calculate l(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2065 - 2064 - 2067 - 2*z + 6196.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -170? (a) 2\/7 (b) 5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 472.2439 decades in months?\nAnswer: 56669.268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22687245 divided by -2205.\nAnswer: 10289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 170904?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8*((-1)\/4)\/((-11)\/(-297)). Let b = -4 - o. What is the greatest common divisor of b and 350?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -12*c - 26. Calculate the remainder when h(-9) is divided by 28.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1082*g**2*r - 1750*g**2 wrt r?\nAnswer: 1082*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 34\/120 + 705\/100 + -7. Factor b*o**3 - o + 0*o**2 + 2\/3.\nAnswer: (o - 1)**2*(o + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 500 divided by -100\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-2)*28\/7. Suppose s = 4*u + f - 1, 0 = -5*u + 5*f + 25. Solve u*o + 1 = -5*n + 3, -n = o - 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -k**3*p**3 - 768642*k**3*p - 665*k**2*p**3 - k**2*p - 6*p**2 + 3*p wrt k?\nAnswer: -6*p**3 - 4611852*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 + -3 - (-53 + -16).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-15))\/(18\/(-9))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -3152.6 bigger than 0.046?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -h**3 + 0*h**3 + 2*h**2 + 3*h**3 - h**4 as f*h**4 + x*h**2 + t + k*h + q*h**3 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -4*(((sqrt(162) + 4 + -1 - sqrt(162)) + -2 + -1*sqrt(162))*2)**2.\nAnswer: -2606 + 288*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95) + (sqrt(95) + sqrt(95) + (sqrt(95) - (sqrt(95) - 4*sqrt(95)*-2)) - sqrt(95)))\/(-4*sqrt(605)).\nAnswer: 3*sqrt(19)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = -4*k - 41, -k + 4*d = 4*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2128067 is divided by 177337.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 8 = -c - 7, 0 = 3*c - 3*t for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 118 = -3*d - 40, -c = 0. Suppose -d = -q - q. Suppose -4*x + 3 + q = 0. Sort -3, x, 2 in increasing order.\nAnswer: -3, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -56*i**2 - 274*i + 1397. Let c(q) = 254*q**2 + 1096*q - 5587. Let l(g) = 2*c(g) + 9*j(g). Differentiate l(r) with respect to r.\nAnswer: 8*r - 274","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82 = -2*n + 92. Suppose 5*b - 38 = n. Suppose -7*z = -45 - b. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -5*v + 59, -v + 26*q = 25*q - 7. Calculate the highest common divisor of 630 and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/20 of a millimeter?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6 + 8)*(1 - 114\/4). Let j = -57 - w. What are the prime factors of (-1 + 1 + j)\/((-1)\/76)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(-32))\/((-3043)\/(-9129)).\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -466291 - -21 - 4*-1. Let c(o) = 186027*o - 31. Let u be c(11). Let t = u + b. Round t to the nearest 100000.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1214 + -811. Suppose 5*n - 3*h = 7 + 129, 0 = -5*n - 2*h + 126. Calculate the greatest common factor of n and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 7 + -13 + 22.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170330 is divided by 170319?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17226 and 163944?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1 + 3. Suppose a = p - 4, 5*a + 5 = 4*p - s*p. What is the second derivative of -2*v - 3*v + 5*v - p*v - 3*v**5 wrt v?\nAnswer: -60*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 3115 - 1262 = -3*q, -5*c - 9247 = -3*q. Let n be (-240)\/(-2*2\/c). What is n rounded to the nearest 10000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4330113 (base 6) in base 10?\nAnswer: 213885","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(2\/3)\/a)**(-4\/7))**(-1\/11) assuming a is positive.\nAnswer: a**(8\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 106 a factor of 499154?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37, -75, -299, -665, -1203?\nAnswer: -1943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25 - -24.7. What is the third smallest value in -1\/4, j, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2408701 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14 and 12397?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 13 + -16. Sort -3\/7, p, 3 in descending order.\nAnswer: 3, -3\/7, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 465029 is divided by 1258.\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 69122727, 69122704, 69122667, 69122610, 69122527, 69122412, 69122259?\nAnswer: 69122062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (40 + -29 - ((-68 - 4) + 8)).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 151.8 + -151.800000959. What is u rounded to 7 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 180123324, 180123325, 180123326?\n\"Answer: t + 180123323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-8)\/d*d*d**(-3\/5)*d*d**(2\/9)*d**(-2\/87)\/d assuming d is positive.\nAnswer: d**(-10963\/1305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of 3*m**5\/10 + 9*m**4\/8 + m**3 - 13. Factor l(o).\nAnswer: 3*o**2*(o + 1)*(o + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 352395?\nAnswer: 3, 5, 41, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -10, 3, -13577.\nAnswer: -13577, -10, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 8 = 0, 25 = -2*j + 3*m - 11. Which is greater: j or -20?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.08654674 or -0.11?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 - 1. Let w be (-42)\/12*(-4)\/7. Let q be o(w). Let k(i) = 17*i + 7. What are the prime factors of k(q)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100735 is divided by 418?\nAnswer: 415","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 2*z - 18. Let n be (z\/6)\/(3\/8). Let d(g) be the second derivative of g**5\/20 - 5*g**4\/12 + 5*g**3\/6 + 2*g**2 + g. What is d(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, 0.01, 11.06, 3\/5 in descending order.\nAnswer: 11.06, 1, 3\/5, 0.01, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*z - 61*z + 149*z.\nAnswer: 23*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -375*o. Let d(l) = -l**2 + 385*l. What is d(c(x))?\nAnswer: -140625*x**2 - 144375*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vgjp when four letters picked without replacement from {v: 2, p: 1, g: 1, j: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/33, 1\/2, -0.82, 1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3493\/160 - -481\/20. Calculate the common denominator of 29\/40 and g.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (58 + -27 - -7) + -67 - 90\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 16199\nAnswer: 4\/16199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 72206337?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 + -3. Suppose -t*o = 3 - 19. Suppose b - 7*v + 2*v + 4 = 0, 0 = 3*b + o*v - 7. Sort -3, b, -5 in descending order.\nAnswer: b, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/11, 0, -169, 0.4, -13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 107.8132356 nanoseconds to weeks.\nAnswer: 0.000000000000178262625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122*y + 121*y = 0. Suppose y*l + 6*l - 6 = 0. Suppose 5*q - l = -2*i + 28, 4*i = 5*q + 13. Which is smaller: i or 40\/7?\nAnswer: 40\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of -1\/4*n**4 + 0*n + 1\/6*n**3 + 0 - 2*n**2. Suppose 44 = 662*r - 665*r - 5*f, -4*r + f - 5 = 0. Calculate c(r).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, b: 1, m: 2, u: 6, a: 1}. What is prob of sequence mb?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/2, 3\/7, -3\/4, 0.01, 1\/3, 3\/4 in increasing order.\nAnswer: -3\/4, 0.01, 1\/3, 3\/7, 3\/4, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*p**2 - p**3 - 18*p + 17*p + 12 + 44 as c*p + i*p**3 + h*p**2 + a and give a.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 24, 3\/5, -6, 0, -41 in decreasing order.\nAnswer: 24, 3\/5, 0, -6, -8, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (((1*sqrt(76))\/sqrt(4))**2 - ((sqrt(2736)*-2)**2 + sqrt(19))).\nAnswer: -10927 - sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -131 + 158. Suppose -f*r + 10504 = -19*r. What are the prime factors of r?\nAnswer: 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(21\/((-1512)\/(-60)))\/((-4)\/(-24))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from raarra. What is prob of picking 3 r?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 42 = 3*z. Let x be 24\/14 + (-12)\/z. Suppose -2*a = u, -3 = -x*u - 5*a + 4*a. Is u even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 - 5*a + 3. Let h(w) = -2*w**2 + 4*w - 11*w - 2*w + 5. Let j(g) = -4*h(g) + 7*s(g). Let q(k) = k. Give 2*j(y) - 3*q(y).\nAnswer: 2*y**2 - y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 3272967\nAnswer: 3272965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99897419.\nAnswer: 47, 2125477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/8 of a decade?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*t - 1277 = -2369 - 1752 for t.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1878028?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -144088 - -143917.0975. Let x = h + -0.3975. What is x rounded to the nearest 10?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (9\/(-15))\/((-2)\/90). Suppose 0 = 4*x + 20, 3*x + t = 2*h - 126. What is the remainder when h is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11546437?\nAnswer: 7, 23, 29, 2473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 12, z: 1, l: 3}. Give prob of sequence zl.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -371914, 6.\nAnswer: -371914, -5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 - 5*a**2 + 2*a - 4. Suppose -20 = 2*t - 6*t. Let p = -3 - -7. What is the least common multiple of p and s(t)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*t + x + 1 = -14*t, -37 = -3*t + 5*x. Let p(d) = 55*d - 1 + 4 - 60*d. Let f be p(-1). Solve r = t, 4*v - v = -r - f for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/4*(-3)\/1. Let m be ((-2)\/5)\/((-6)\/150). Suppose -3*v - 2*v - m = 0. Which is smaller: v or k?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7*1*((-1)\/(5\/(45\/9)))\/1?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21a600 (base 11) to base 13.\nAnswer: c3880","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1870076 + 2*r - 935032 - 935044 - 6*r**3.\nAnswer: -6*r**3 + 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40081509?\nAnswer: 3, 13, 29, 11813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 2*l**2. Let o(s) = 65*s - 2. Give i(o(g)).\nAnswer: 8450*g**2 - 520*g + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76955 is divided by 5496?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-73)\/(-2920) + (-3)\/(-7)*(-7)\/(-8). Let i = -4 - -3. Let x = -4.99 - 0.01. What is the nearest to i in -2, x, s?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -411 - -276. Let i = 49 + b. Is -86 bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*u - 1 + 21 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q**2 + 10*q + 2. Let l = 7 - 7. Suppose l*p + 5*p + 25 = 0. Let o be g(p). Solve 2*v + 2 = -4*d - 10, 3*d - o*v - 5 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*-1*sqrt(684)*-2.\nAnswer: -48*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/828 and 17\/780.\nAnswer: 53820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -4*m + 152. List the prime factors of m.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 79933\/12 - 6655. Calculate the common denominator of -23\/2214 and d.\nAnswer: 4428","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**3\/3 + 83090092*a**2\/3 + 332360392*a\/3 + 110786800 = 0.\nAnswer: -2, 41545050","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3140 - 3137. Solve -q*z + 4*u + 10 = 5*u, 5*u = 20 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3150, 13098, 29840, 53376?\n\"Answer: 3397*o**2 - 243*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 55424429?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 16842904 times -0.3\nAnswer: -5052871.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 50*u - 410 + 60 for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -14\/177 and -5\/2862.\nAnswer: 168858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 22 - 1?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13536.42*1.1.\nAnswer: -14890.062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4633459 is divided by 106.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 745 - 522. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 131 + 44*k**2 + 28*k**2 - 585 + 3*k**3 - 185 wrt k?\nAnswer: 9*k**2 + 144*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3287 and 4844.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -r**5\/5 + 2*r**4\/5 + 3*r**3\/5 - 4*r**2\/5 - 4*r\/5 = 0. What is r?\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 + 82*k - 477. Let q be l(39). What is the greatest common divisor of q and 96?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c - 3*c + 0*c + 2*c.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 - 5 + 1)*(-6 + 5 + 2)*(-4*m**2 - 18 + 18).\nAnswer: 64*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 9*k + 14*k = -8, -5*b - 2*k = -6 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19966, -79884, -179756, -319582?\nAnswer: -499362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(171) - ((sqrt(171) - (3*sqrt(171) - sqrt(171))) + sqrt(171))) + sqrt(171))*-1)\/((sqrt(90)*2)\/sqrt(10)).\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 125 divided by 138\nAnswer: 125\/138","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 679855965.\nAnswer: 3, 5, 23, 1970597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 20294545003 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -181*c + 382*c - 3542 = 178*c. What is the greatest common factor of c and 133?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 11, -12, -0.4, 7, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2711*t**2 - 546*t + 2. Let m(x) = x**2 - x + 1. Let p(w) = 5*m(w) - z(w). Find the second derivative of p(j) wrt j.\nAnswer: -5412","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of -p**6\/360 - 13*p**5\/120 - p**4\/8 - p**3\/6 - p**2. Let h(r) be the first derivative of c(r). Is 14 a factor of h(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 1522*o**2. Let k(q) = 2*q. Determine a(k(r)).\nAnswer: 6088*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-423)\/(-21))\/((-18)\/(-42)). Solve -32*g + 75 = -z*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 4*r + 49 = 0. Suppose r*c + 28 = 14. Put c, -5, 4, 3 in increasing order.\nAnswer: -5, c, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-25)\/(-4))\/(16250\/(-26000))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -2. Let f(m) = -m**3 + m**2 - 2*m - 1. Let j be f(r). Let w = j + -16. Is w < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of -w**4 + 8*w**3\/3 + 3. Find the third derivative of i(k) wrt k.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 159, 314, 469, 624?\nAnswer: 779","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 538012546 or 538012545?\nAnswer: 538012546","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54530721?\nAnswer: 3, 7, 433, 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9596*m**2*z + 42*m + 64886*z + 3 wrt m.\nAnswer: -19192*m*z + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + 7 - (36 - 14) - 20) + 13?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes after 1:42 PM?\nAnswer: 1:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -172\/3927 + -2\/119. Let k = -4 - -5. Is k greater than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((72\/(-504))\/((-2)\/(-8)))\/(8\/56).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2663 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w + 4*t + 122, -6*t = -2*t + 16. List the prime factors of w.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 253282 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 + 2*h**2 - h + 7. Determine p(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 > 19\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7\/(147\/(-54))*-7. Let h be ((-2)\/6)\/(6\/t). Let d be 4\/15*(-25)\/10. Is h < d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*p - 9. Let c = 13.08 - 13. Let a = -0.12 - c. What is the third smallest value in p, -0.3, a?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*a**2 - 3*a**2 + 0*a**2)*(-13559 + 6092 + 6069) as y + h*a + d*a**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -3, 3, -0.46, -0.129?\nAnswer: -0.129","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*f = 350 + 98. Is f at most -60\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f. Let a(y) = 1290*y. Give c(a(n)).\nAnswer: 1290*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 70560031 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 333750 and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 3*g + 30 = 0. Suppose 5 - g = -5*y. Suppose 3*t = -y*t + 145. Is t a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -5*x + 40, x + 4 - 17 = -2*y. Suppose -586 = -4*s - 2*b, -b - 737 = -y*s - 5*b. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of -h**3\/3 + 5*h**2\/2 + 9*h + 939. Suppose -4*l + 4*q + 56 = l, -5*l - 2*q + 32 = 0. What is c(l)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -894163, -1788649, -2683133, -3577615, -4472095?\nAnswer: -5366573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -15, -194, -683, -1638, -3215?\n\"Answer: -26*w**3 + w**2 + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 148 and 407?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -15*t**3 - 149*t**2 - 45*t - 64. Determine r(-9).\nAnswer: -793","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 275789, 1103165, 2482125, 4412669, 6894797?\n\"Answer: 275792*w**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 6) + 13 + -4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 7*b + 3225. Let p(y) = -9*y - 3237. Determine -4*f(j) - 3*p(j).\nAnswer: -j - 3189","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2556.3 * 3.\nAnswer: 7668.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.19 + 0.01. Let h = 0.347 - 0.047. What is the nearest to -2\/3 in -2\/9, h, f?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 77, -4, 5, 0, 59 in descending order.\nAnswer: 77, 59, 5, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 113*i - 108*i. Sort i, -4, 7 in decreasing order.\nAnswer: 7, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-80*h + 163*h + 111*h)*(3*h - 2*h - 3*h) to n*h**2 + p*h + l and give n.\nAnswer: -388","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*l - 933*i + 931*i + 12, 0 = -l - 2*i + 27 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1325807373?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 17 = 2*h, -2*v + 6*v + 20 = 0. Let k be h\/18 - (190\/(-45))\/1. Solve 16 = -4*m + 2*w, k*w + 0*w - 12 = 4*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3243495091 - 0.9558.\nAnswer: -3243495091.9558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5906000 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45, -50, -75, -132, -233, -390?\nAnswer: -615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 30\/79 and 113\/144.\nAnswer: 11376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*i = -50 + 8. Let d(n) be the third derivative of -1\/240*n**5 + 0*n + 1\/96*n**4 + 1\/12*n**3 + n**i + 0. Let d(y) = 0. What is y?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of -5 + (-40)\/(-4) - -409?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/15? (a) 2\/7 (b) 4 (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 8640000 = -8*n. Round n to the nearest one hundred thousand.\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -4*v - 3*v + 6*v. Let x be b(3). What are the prime factors of 16 + x + 4 + 4?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 173.26, 10\/9, 1\/2 in descending order.\nAnswer: 173.26, 3, 10\/9, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48\/32*(-2 + (-2)\/3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u = -8*u + 168. Calculate the greatest common divisor of u and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -16377 + 24191. What are the prime factors of g?\nAnswer: 2, 3907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21533\/4 + -5382. Determine b, given that -5\/2*b**2 + 15\/4*b - p = 0.\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = 5*q + 310. Let l = -42 - q. Suppose -56 = -3*m - 2. Solve -m = -5*r + 3*k, -l*r + 5*r - 2 = -k for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -543\/4, -0.5, -5\/426.\nAnswer: -543\/4, -0.5, -5\/426, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 5*n - 68, -5*l + l = -2*n - 56. Suppose -2*m - 134 = -3*u, -u + l = -m - 27. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - -5) + 14958\/(6\/1). Let k = 3659 - h. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(63) + -2)*5 - (4 + -1*sqrt(7) + 0)).\nAnswer: -12 + 16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 234406386576 and 6.\nAnswer: 234406386582","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 28672 smaller than -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**3 - 135308*y**2 + 947022*y + 2435292 = 0. What is y?\nAnswer: -2, 9, 67647","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Is 513937 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1113 + -1113. Is -3\/752 != x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**4\/2 + 2*r**3.\nAnswer: -r**3*(r - 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + 15*w**2 + 9 as k*w + o*w**2 + a and give o.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -316 - -506. Suppose 29 = -2*t + o + 114, 5*t = -5*o + r. Suppose -70 = -j - 5*z, j + z = t + 33. Calculate the greatest common factor of j and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 757?\nAnswer: 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 492.9699 weeks in hours?\nAnswer: 82818.9432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -6. Let p = -6 - q. Let c = 3 - p. Let u(i) = -i + 5. Give u(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 3*v**3\/5 - 1644*v**2\/5 - 3297*v\/5 - 330 = 0.\nAnswer: -1, 550","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 79733 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -258*q + 71*q + 1069*q + 8820 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of -13*r**9\/168 - r**5\/15 + 40*r**2. What is the third derivative of q(b) wrt b?\nAnswer: -4680*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15867 - -20920. Is s a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.14 * -3.57023\nAnswer: 0.4998322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1789*t + 117553 + 13044 = 0 for t.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2237 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i + 7. Let q be o(-5). Put 4, 9, q in ascending order.\nAnswer: q, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2 - 6 - 2 + 17*d**3 + 26*d**3 - d wrt d?\nAnswer: 258*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1574 or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -689201 - 10134*l**3 + 1378403 - 689202.\nAnswer: -10134*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -19*w**4 - 22*w**3 + 22*w**3 + (2*w**3 + 0*w**2 + 0*w**2)*((-4*w + w + 4*w)*(3 - 3 + 1) + 0 + 0 - 2*w + 2*w - 2*w + 2*w).\nAnswer: -17*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 5 = -7*o + 2*o, -5*o = 3*r + 25. Suppose 2*p - 19 + 7 = 0. Suppose 5*y = 9 + p. Sort o, y, 2.\nAnswer: o, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + q = -27, -5*v + 5951*q - 85 = 5956*q for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o - 4. Let b be m(-5). Let a be (-2 - 15)\/b - -2. Let i = -9 - a. What is the smallest common multiple of i and 14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 144803354 to the nearest integer?\nAnswer: 12033","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-6)*((-1014)\/(-26))\/(-13).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -11*s + 509. Let y be z(46). Let c(u) = -2*u**2 - 2*u + 1. Let a(m) = -3*m**2 - 2*m + 2. Let n = -18 - -15. Let x(q) = n*a(q) + 4*c(q). What is x(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -161*l + 230*l**3 - 710*l**3 + 244*l**3 + 259*l**3.\nAnswer: 23*l**3 - 161*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 - 9 = 5*q - 2*k, -3*q = 2*k - 10 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1103976 and 3557256?\nAnswer: 32015304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -29*k**4 + 2*k + 59*k**4 - 29*k**4 - 2*k**3 - 1.\nAnswer: (k - 1)**3*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29624261 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-95)\/(-57)*(0 - 3) + 804\/6. Which is the nearest to 2\/5? (a) 6 (b) -0.5 (c) f (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45 - 11*r**2 + 3*r**2 - 16 - 20 - 16.\nAnswer: -8*r**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - 1. Let g = 0.8 + -0.3. Let v = 0 + g. Which is the second smallest value? (a) 4 (b) j (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3522*a**2*t**3 + 2*a**2 - 5043*t**2 wrt t.\nAnswer: 21132*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/15 - 0)*5. Suppose 24 = g*m - 2*l, 4*m + m - 52 = l. Suppose 4*o - m = 3*o. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.196244 to 2 dps.\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bw when two letters picked without replacement from bwwwgbwgg.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1377\/54*17232\/18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 + 5*p**2 - 13*p + 12. Calculate d(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*b + 6336 = -12*b. Calculate the remainder when b is divided by 46.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -11. Suppose 5*g - 26 = 34. Let a(d) = d**2 - 10*d - 22. Let t be a(g). Solve -2*h - t*i = -10, -2*h - 23 = -x*h - 5*i for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 5*m = -4. Suppose -16*f - 3*p - 9 = -18*f, -3*p = 5*f + 30. Let i = 15 + -11. Sort f, m, i in descending order.\nAnswer: i, m, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -6.8. Let w = 12.9 - 13. Which is the second biggest value? (a) 0 (b) w (c) u (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -1 + 9 + -14.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1380417257 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22 + 100011111210211?\nAnswer: 100011111211010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 247?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 29 = 3*v + 6*w, -2*v - 4*w = 22. Calculate the remainder when v + (-3)\/(-1) - -30 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (30\/(-40))\/((-10)\/(-20))*(6 + (-10)\/3). Let t = -0.7 + -0.3. What is the fourth smallest value in 5\/2, -2\/3, w, t?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(3 - (-18)\/(-4)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - 3. Let m be w + 0 - (1 + -4). What is the second derivative of 6*u - u - 4*u + 3*u**m wrt u?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3156 and 2.\nAnswer: 6312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -753*w - 1126 + 565 + 564.\nAnswer: -753*w + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.22701 to 3 decimal places.\nAnswer: -0.227","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**3 - 81*t**2 - 477*t - 399.\nAnswer: -3*(t + 1)*(t + 7)*(t + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -14, 0, -3, -452, -5 in descending order.\nAnswer: 0, -3, -4, -5, -14, -452","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, k: 9, t: 4}. What is prob of sequence lttk?\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -378 + 381. Solve 20 = b*u - 5*u + 3*z, 4*u + 5*z - 4 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(20\/3))\/(9\/(-45)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = -5*p - 3*a + 70, -2*a = -2*p + 28. Let q be -3 - -4 - (0 + 1). Suppose 3*t - 175 - 119 = q. What is the greatest common factor of p and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32506 + 145885 = 2*x + 19*x. What are the prime factors of x?\nAnswer: 5399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -15\/23? (a) -0.5 (b) -12 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34458098 is divided by 8218?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = f - 2*f + w, -4*w = -5*f + 14. Suppose k - 3 = -f. Let t be (-4)\/(-2) + (-1 - k). Solve t = 3*h + z + 11, 0*z + z + 3 = h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 4*q - 10 = 0. Solve 0 = -4*n + q - 14 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*v + 10 = -27*v. Solve v*x + 0*x - 5 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/24 - 3\/((-18)\/91). Suppose 0 = 19*y - 14*y - c. Suppose h + 0*h - 48 = -y*q, -4*q + 64 = -4*h. What is the remainder when 62 is divided by q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - -133345?\nAnswer: 133347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*c - 9*c - 4640. What is c rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -370 + 2594\/7. Let d = 1.9 + -1.7. Which is the smallest value? (a) 4 (b) d (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/27))**(-26) assuming y is positive.\nAnswer: y**(52\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*(b*b**(-3)*b*b)\/b)**18 assuming b is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1132 + -0.2132. Which is the nearest to 1? (a) w (b) 51 (c) -11\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 35 - 15. Suppose -k + p = 4*k. Let m(n) = -n**2 + 2*n - 3. Give m(k).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 - 8*v**2 - 6*v - 19. Give t(-7).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-3) + (-1)\/3. Let s be (-84)\/(-9) - m\/3. What is the highest common factor of 45 and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-4*sqrt(228))\/sqrt(12).\nAnswer: -24*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-31)\/(-12) + (-1)\/(-4)*-5. What is the closest to -1 in -7, 3, -0.5, b?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of -m**5\/20 + m**4\/6 + m**3\/6 + m**2\/2 - 11*m - 11. Let d(j) be the first derivative of w(j). Calculate d(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 2*k - 35603 = -5*h, 0 = -4*h - 5*k + 28474. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-6)*(-57)\/1292*-17\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3214.\nAnswer: 2, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 3*j**2 + 4 - 2 - 6 - 10*j - j**2. Let i(x) = -x**2 + 10*x + 3. Let p(y) = -4*i(y) - 3*q(y). Factor p(v).\nAnswer: -2*v*(v + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45134621 a multiple of 144?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 20852 divided by 1?\nAnswer: 20852","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 + -1 - -2 - 3. Suppose 3*o - 7*o + 12 = h. Calculate the remainder when o is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 195304507?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 988.6, -4.51, -4 in ascending order.\nAnswer: -4.51, -4, 988.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -60 (base 13) to base 6\nAnswer: -210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.83 - -84.17. Let h = b - 84. Let p be 6\/(-28)*(-4)\/(-3). What is the closest to 0.1 in p, -2, h?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 9) in base 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y - y - 74538 = 0. Suppose -3*d = -6*f + 2*f + 8286, y = 4*f - 5*d. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/9? (a) -1.5 (b) -17 (c) -4 (d) 4\/5 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/(-8))\/(48\/(-9))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-45)\/27)\/(4 + (-308)\/72). Suppose y*q = 468 + 90. What are the prime factors of q?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -378*a**3 - 7*a**2 + 4*a - 1067. Let g(z) = -126*z**3 - 2*z**2 + z - 356. Let i(w) = 14*g(w) - 4*n(w). What is the derivative of i(v) wrt v?\nAnswer: -756*v**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 80. Suppose 2*n + m = 7*n - 4*u, -4*n - 16 = 4*u. Suppose -o + 55 = -n*o. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1165\/120 - 8) + (-63)\/36*1\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 242 * -1.\nAnswer: -242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-6)*660\/(-2530).\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 11 + 3 = 0. Factor -4\/5*q + 0 - 2\/5*q**3 + 6\/5*q**o.\nAnswer: -2*q*(q - 2)*(q - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -6395, -6388, -6379, -6368, -6355, -6340?\n\"Answer: k**2 + 4*k - 6400","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 110694029 to the power of 1\/3, to the nearest integer?\nAnswer: 480","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (227\/((-82855)\/(-2190)))\/(((-2)\/8)\/(19\/(-6)))\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 66\/(-44)*(-4)\/63. What is the second smallest value in -4, 0, i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -19*r**3 - 5*r**2 - 6*r + 5. Suppose 110*p - 235 = 197*p - 134*p. Let b(j) = 10*j**3 + 2*j**2 + 3*j - 2. Determine p*b(n) + 2*a(n).\nAnswer: 12*n**3 + 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 371 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 25607 = 2*t, 4*t - 4036*f = -4032*f + 51224. What is the tens digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1045 = -2*y + 307. Calculate the common denominator of ((-2)\/36)\/((-9)\/y) and -29\/15.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -49 + 50 + (-5 - (1 - 0))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 15 = -4*l - 3*q, 0 = 5*l - 5*q. Let m be ((-18)\/4 - l)*(-2 + -476). Suppose 6*w - 111 = m. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + t = -p + 4, -2*t + 2 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 1420 + 4014 = 5*i, 0 = 3*i - z - 3260. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21 - ((0 - 5) + 0 + 7)) + -7.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + -95?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6987787 is divided by 60.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -66*m**2 - 10. Let q(k) = -2*k**2 - 1. Let o(t) = 2*g(t) - 20*q(t). Let b(u) = 2*u. What is o(b(n))?\nAnswer: -368*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -1 + 9. Suppose k*f + 1 = -l - 3*f, -4*l + 2*f = -40. Suppose 2*b = b + l. Does 9 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-2)*-2)\/(150\/(-50))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2.51 and -2.807.\nAnswer: -0.297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/19764 and -117\/5866.\nAnswer: 57967812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 (base 13) in base 2?\nAnswer: 10001000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m - 3. Let j be g(4). Let a = -5 - -4. Let c(q) = -16. Let o(t) = -7. Let r(z) = -4*c(z) + 9*o(z). Let d(b) = b + 6. What is a*d(h) + j*r(h)?\nAnswer: -h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l - 9. Let q(m) = -1. Let i(z) = o(z) - 4*q(z). Suppose j = 2*s - 5, -43*j = -38*j + 5*s - 50. Let c be i(j). Solve n = -5 - c for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 129\/216 + (-2)\/9. Let x = -4 + 5. Let a = -1.2 + x. Put n, -4, a in ascending order.\nAnswer: -4, a, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -11150, -11352, -11688, -12152, -12738, -13440, -14252, -15168?\n\"Answer: f**3 - 73*f**2 + 10*f - 11088","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (267597\/(-102))\/99*2\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/48972 and -25\/116989656.\nAnswer: 1286886216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 3. Which is the smallest value? (a) -5 (b) -2 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + h + 0*h)*(-18 - 41 - 20).\nAnswer: -79*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 - 2*o**2 + o + 1. Let l be c(-3). Let n = 140\/3 + l. Sort 0.6, 3, n.\nAnswer: n, 0.6, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (18\/15)\/(4\/(-20)). Calculate the common denominator of 2\/i + 132\/(-8) and -22\/7.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, e: 1, u: 1, n: 1, r: 1, y: 1}. Give prob of picking 1 r and 1 n.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 0*m - 20. Let q be 1\/(-2) + (-2)\/(-4). Suppose 0 = 5*f - q*f - 105. Solve 0 = 4*d - 3*t + m, 4*t + 4 = -d - f for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 - 6*p**2 - 3*p + 4. Let z be j(7). Let u = z - 17. What is the remainder when 43 is divided by u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q - 3. Let p be k(-6). Let n(g) = -g**3 + 66*g**2 - 835*g + 34. Let c be n(17). Sort c, p, 1 in ascending order.\nAnswer: c, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-7)\/105*6 + 518\/420)\/5. Let b = 7 + -8. What is the nearest to 0 in f, b, 16, 0.5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of -y**5\/20 + 7*y**4\/12 - 7*y**3\/6 - 15*y**2\/2 + 20*y - 1. Factor n(x).\nAnswer: -(x - 5)*(x - 3)*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the second derivative of 0*k**3 + 1\/5*k**5 + k**2 + 0 + 0*k**4 - 4*k. What is the first derivative of u(s) wrt s?\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -89393189 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160 is divided by 90.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (86\/129)\/(((-2160)\/9639)\/40)\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*y - 25*y - 2336771 - 1754491 = 0. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - ((0 - 0) + -2 + 5)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 5*d**2 + 78*d + 6. Let b(z) = -4*z**2 - 77*z - 5. Determine 6*b(t) + 5*w(t).\nAnswer: t**2 - 72*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -6*g + 1. Calculate c(-5).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -88.1 - -69.1. Sort 3, 4\/7, c, 0.5 in increasing order.\nAnswer: c, 0.5, 4\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -288017 - 4?\nAnswer: -288021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*h = -3*h + 12 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*(2 + -4 + 0). Suppose -10 = -148*k + 158*k. Let r be k\/2*(9\/6)\/3. Which is the nearest to 1? (a) r (b) m (c) -2\/35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2. Let j(r) = 188*r**2 - 32*r - 104. Let o(t) = 29*t**2 - 5*t - 16. Let v = 407 + -439. Let i(s) = v*o(s) + 5*j(s). Calculate i(d(a)).\nAnswer: 12*a**4 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*o + 3*z, -5*o + 2*z + 90 = 67 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide (-5*4\/(-80))\/(2\/152)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(1872) - (-5 + (sqrt(1872) - (sqrt(1872) + 0)))) + 0 + 1 + -4*(-3 + sqrt(1872))*-6)**2.\nAnswer: -39000*sqrt(13) + 1174225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - -540?\nAnswer: 538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d + 0*d - 4*d**3 + (11 + 1 + 1)*(2*d**3 + d**3 - d**3) + 2 + 11 + 330*d**3 - 333*d**3.\nAnswer: 19*d**3 + 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2 - 18 + 3*f**2 + 2*f**2. Let m(u) = -6*u**2 + 5 + 3*u**2 + u**2. Let x(i) = -2*g(i) - 7*m(i). Find the first derivative of x(s) wrt s.\nAnswer: 8*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 378.3598 millennia?\nAnswer: 37835.98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 37312961?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 66 divided by 156\nAnswer: 11\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.5677 - -0.7677. What is the nearest to c in -1, 2\/15, -5?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15060 is divided by 1505.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1313 is divided by 557?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 - 380\/(-6 + -13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -201202 - 1?\nAnswer: -201210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -8\/9 (b) 17 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 100 + -40. Suppose 30*c = 1207 - 545 + 688. What is the greatest common divisor of c and w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 364947 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*h + 72*h + w = 2, -26 = 5*h - 4*w for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (140*w - 273*w + 12 + 138*w)*(-15*w**3 + 43*w**3 + 8*w**3) to the form v*w**2 + l*w + o*w**4 + b*w**3 + k and give b.\nAnswer: 432","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 44 - 50. List the prime factors of (c\/(-7))\/(11\/847).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 268\/5 (b) -0.3 (c) -0.5 (d) -3 (e) -0.1 (f) 821\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10015 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 248*y**3 - 461*y**3 + 210*y**3.\nAnswer: -3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4522 is divided by 51?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1003241 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 151718457 and 50572819?\nAnswer: 151718457","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -53350, -106760, -160168, -213574, -266978, -320380, -373780?\n\"Answer: v**2 - 53413*v + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 786 (base 9) to base 3.\nAnswer: 212220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 406 - 3. Let h = -244 + f. Suppose h = 4*c + 5. Is c a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 + 25\/2. Let m be (0 + -3)\/1*-1. Which is the third biggest value? (a) -5 (b) s (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*g + g + 2*g)*(4*g - 11*g - 23*g) + (1 - 1 + g)*(3 + g - 3).\nAnswer: 31*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = -4*y. Let x(b) = -4*b**3 + b**2 - 20. Let s(p) = -p**3 + p**2 - 1. Let u(i) = 3*s(i) - x(i). What is the remainder when 64 is divided by u(y)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of -2*u**3 + 31*u**2\/2 - 201*u. Let p be b(0). Calculate the highest common divisor of p and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 1274*b + 312. Let p(j) = 37*j + 9. Let o(f) = -104*p(f) + 3*s(f). Let i(d) = 0*d - 5*d - 3*d. Give o(i(n)).\nAnswer: 208*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3441 (base 5) to base 14.\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 99, 0.2, -2.2, 0.1, -1\/3 in ascending order.\nAnswer: -2.2, -2, -1\/3, 0.1, 0.2, 99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6307 and 2380?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8808215 to the power of 1\/3, to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**2\/5 + 229554*p\/5 + 229551\/5.\nAnswer: 3*(p + 1)*(p + 76517)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.9 + -0.040411.\nAnswer: -0.940411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b**(2\/5)\/b*b)\/b)**(-11\/5)*b**(1\/3)\/b*b*b*(b*(b\/(b**(-2)*b)*b)\/b*b)\/b assuming b is positive.\nAnswer: b**(94\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/2 of a litre in millilitres?\nAnswer: 20500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38 divided by -35049.\nAnswer: 38\/35049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -83, 695 in increasing order.\nAnswer: -83, -5, 695","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9179 and 46991.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 33171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24669*u**3 + 4*u**2 - 4*u**2 - 24482*u**3)*(4*u - 6*u + 3*u + 6).\nAnswer: 187*u**4 + 1122*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -1 + -4 + 3 + -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10 or -15795\/7?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 + 23*n - 20. Let i be y(18). Let j = 74 - i. Is 75 - (j - (4 + 2)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 46 + -14?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of m**7\/140 - 5*m**4\/12 - m**3\/3 - 18*m. Let r(i) be the second derivative of g(i). Differentiate r(b) with respect to b.\nAnswer: 18*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -124899*j. Let s(d) = -1622*d. Give -2*g(t) + 155*s(t).\nAnswer: -1612*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 342428 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.31 + -4.18. Let p be (-2)\/10*-3 - 0. What is the nearest to 0 in b, -0.01, p?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34 and 41344.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -22*p**3 - 154*p**3 + p**3 - 11*p**3 + 15*p - 15*p + 0*p**3 + 0*p**3 + p**3 + (2*p**2 - 2*p**2 + 2*p**2)*(1 - 2*p - 1) - 3 - 2*p**3 + 3.\nAnswer: -191*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*a + a - 2*a)*(-90227 - 89374 + 185211)*(-1 - 1 - 2) to u + g*a and give g.\nAnswer: 22440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 PM and 8:02 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 6*y**2 - 3*y + 4. Let v(r) = -r**3 + 5*r**2 - 2*r + 3. What is -3*q(s) + 4*v(s)?\nAnswer: -4*s**3 + 2*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) 123\/4 (c) 3 (d) 17 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(0 + sqrt(1800)) + sqrt(1800)*2 + 4)*1)**2.\nAnswer: -720*sqrt(2) + 16216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 50498 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*5\/(-135)*(5832\/(-396))\/18?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/(-6)*(-39)\/104*0. What is the biggest value in 1, s, 4.47, -2\/19, 4?\nAnswer: 4.47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - -4 - (0 - 2).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -302201 - -20?\nAnswer: -302121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 48*s**2 + 91 wrt s.\nAnswer: 96*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 - 4. Let s be t(-3). Suppose 0 = s*f - 3 - 2. Suppose 2*b - 5*g - 20 = 0, -b - 3*g - 1 = -0*g. Calculate the greatest common factor of b and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -17*d**2 - 4*d + 4. Let q(h) = -69*h**2 - 15*h + 15. Let y(s) = -4*q(s) + 15*z(s). Let j(l) = -3*l + 3*l + l. What is y(j(w))?\nAnswer: 21*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 5*g - 4 + 6 - g.\nAnswer: 4*g - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-6*(sqrt(78)*-1 + sqrt(78))*3)\/((sqrt(528)\/sqrt(44))\/(1*sqrt(512)))*-5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 17\/27, -5, 0.0424 in ascending order.\nAnswer: -5, 0.0424, 17\/27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**4\/3 + 6*y**3 + 50*y**2\/3 + 18*y + 20\/3.\nAnswer: 2*(y + 1)**2*(y + 2)*(y + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.7065 rounded to 2 decimal places?\nAnswer: -3.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccccbbbbccbcb. Give prob of picking 1 b and 2 c.\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 171100 (base 8) to base 7\nAnswer: 345543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 39981 + -359830\/9. Let t = -16 - -15.1. Let y = t - -1. Which is the smallest value? (a) 3 (b) y (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + 4. Suppose -2*x - 4*m = -m + 34, 3*x + 5*m + 53 = 0. Let l be x\/(-3) + (-1)\/(-3). Solve o - 5*b = -4*o, g*o = 4*b + l for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (2 - 5) + 2 + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -2*o**3 + 48*o**2 + 1054*o - 25626. What is l(25)?\nAnswer: -526","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + j + 5 - 3)*(-5*j + 5*j - j).\nAnswer: -j**2 + j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2*(28\/16 - 3\/(-12)). Suppose -2*c + 7*c = -u + 11, -a*c = 2*u - 10. Let m be u - (3 + -1)\/(-2). Solve 2*d + m + 2 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (9\/(-6))\/((-2)\/(-12)). Let b be (105\/v)\/((-1)\/6). Suppose 0 = -4*u - 2 + b. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 - 8*n**2 + 13*n + 2. Let d be r(6). Let l = -8181 - -8186. Sort l, d, 9 in increasing order.\nAnswer: l, d, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.4 (b) 13 (c) 0.034 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_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 the cube root of 981924 to the nearest integer?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.328 - -1.968. Let x = n + -0.296. Let f be (-69)\/153 - 2\/(-6). Which is the fourth biggest value? (a) x (b) 4 (c) f (d) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 3 m when four letters picked without replacement from jmijmmji?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 534\/45 - (-17)\/((-1020)\/(-8)). Solve 23*c = d*c + 55 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -6 - -1 - -76*94\/(-24). Let t = 302 + v. Let o = 2 + -2.4. Which is the nearest to 1? (a) t (b) o (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.42 - -0.08. Let u be (-92)\/176 - (-2)\/8. Which is the third biggest value? (a) m (b) 2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -2*d - 4*h, 3*d - 5*d = -h + 20. Let u = d - -8. Let w = 1019 - 1046. Put u, 1, 0, w in descending order.\nAnswer: 1, 0, u, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 101100010100111000000 (base 2) to base 11\nAnswer: 9022a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2084\/198 - (-10)\/15. Let s = a + -140\/9. Find the common denominator of 26\/11 and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t - t + 6*t)*(3*t - t + t) + 3*t**2 - t**2 - 4*t**2.\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2439 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i**2 - 103 - 138 + 0*i**2 + 215 - 2*i. Calculate y(0).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 5*f - 17. Suppose -f*k = 13*k - 80. What is the smallest common multiple of k and 146?\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 26, -2, -4 in decreasing order.\nAnswer: 26, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.22 - 0.21999975. Round y to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1386, 10984, 37034, 87762, 171394, 296156?\nAnswer: 470274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 2. Suppose t = 5*v - 3*v - 16. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -234 - -57. Let x = s + 173. What is the closest to 1.7 in -3, 2\/9, x?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/24 and 23\/4.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum 330 and -409997.6184.\nAnswer: -409667.6184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*i**2 - 2)*(48*i + 16 + 20 - 35).\nAnswer: -96*i**3 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.15 + -8.9. Let c = -8.8119 - n. Let o = c + 0.072. Round o to 3 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-63)\/(-36) - (5 - 4)\/(-4). Let j(t) be the third derivative of -t**4 + 2*t**v - 1\/30*t**5 - 12*t**3 + 0*t + 0. Factor j(m).\nAnswer: -2*(m + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*a**2 - 669920 + 0*a + a + 2*a**4 + 669899 - 58*a**2 as s*a**4 + o*a + g*a**3 + q + j*a**2 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 0. Suppose -4*z - q*g + 23 = -5, 0 = 3*g - 12. Suppose -2*l - 5*r = -67, 57 = 3*l - l - z*r. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -574 + 474. Let b = x + 81. What is the third biggest value in -2, b, 0.09?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.195? (a) 79\/7 (b) -1\/40 (c) 2 (d) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (13 - 1)*(-6)\/(-8). Suppose 0 = -3*n + 4*n - 5*w - 15, 3*w = 15. Solve 2*s - 3*d = -13 - r, 5*d - n = 4*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -66*k**3 - 3*k**2 - 106*k + 214. Give x(2).\nAnswer: -538","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.07132 - -5.92868. What is the nearest to 0 in -2, 2\/81, -4, v?\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 + 132*g**2 - 641*g + 27. Give c(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -2. Suppose 2*r + b - 3 = 6, 5*r + b = 15. Put r, 4, q in ascending order.\nAnswer: q, r, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o = -30*o + 8531. Let h = o - 240. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4666112 and 76222?\nAnswer: 107320576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 478620 is divided by 236.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p + 1. Suppose 8*l - 6*l + 6 = 0. Determine m(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 122 or 857\/7?\nAnswer: 857\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -38.55032 rounded to 1 dp?\nAnswer: -38.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -38*c**2 + 68*c**2 - 29 - 44*c**2 + c**2 - 4*c**2 + c**2 - 2*c**2 + 0*c**2 + 0*c**2 + (-5 + 3 + 0)*(-2*c**2 + 4*c**2 + 0*c**2).\nAnswer: -22*c**2 - 29","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1251865 - -53854. Let o(x) = 705*x**3 - 6*x**2 + 6*x + 6. Let h be o(5). Let l = h + f. Round l to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10002206*s**2 - 10002206*s**2 - 13*s**3.\nAnswer: -13*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 - 15*k**2 - 7*k. Let s be r(-6). Suppose 0 = -4*t - 247 - 373. Let b = t - s. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(5 + sqrt(363)*2) + -1*(sqrt(363) + sqrt(363)*-1 + -5))*-1)**2.\nAnswer: 4400*sqrt(3) + 36700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62 + 10 + (5 + -31 + 3 - -3) + 19.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 + 7*y**2 + y - 2. Let q be x(-7). Suppose 2*u + 5*z = 196, 0 = u + 9*z - 4*z - 88. Let c = q + u. Is 33 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6441130, 6441125, 6441118, 6441109, 6441098, 6441085, 6441070?\nAnswer: 6441053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/7)\/((-4)\/252). Let r = a + 99. Which is bigger: 44 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-755)\/(-4)*(-16)\/120 and -5\/54.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bq when two letters picked without replacement from zbzpzzqdpppzzqpzzp?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 2*u**2\/9 - 8584*u\/9 = 0.\nAnswer: 0, 4292","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(3 + sqrt(432)) - (-4*(sqrt(3) + -3) + 3)**2.\nAnswer: -291 + 48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 939\/(-21) - 25388\/(-577)\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15*(-3)\/(-15)*-2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20 + -13. Let i = -9 + n. Let b = -1\/24 + 3\/8. What is the second smallest value in 1, b, i?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 PM and 8:43 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.061 (b) 2\/11 (c) -6 (d) -2\/3 (e) 39 (f) 19 (g) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((7 - 3 - 8)*(k**3 - k**2 + k**2) - 3 + 3 + 2*k**3)*(-k + 1 - 1)*(-5 - 1 - 1) to the form u*k + q*k**3 + d*k**4 + o*k**2 + p and give d.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42827207 is divided by 4908.\nAnswer: 4907","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 517547 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 5 = 2*n. Suppose 5*h + n*o - 35 = 0, 8*o - 3*o = 4*h - 10. What is the units digit of (h + 2)*(2 + -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -2 - (1 - -4) - -12?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 64 and 107584.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let 7*r**4 - 41*r**3 + 71*r**2 - 31*r - 6 = 0. Calculate r.\nAnswer: -1\/7, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 18*m**3*y - 126*m**2*y - 140*m*u - 3754810*u*y + u + 2*y + 2 wrt m?\nAnswer: 54*m**2*y - 252*m*y - 140*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 11 - 1 = -3*w, -4*c - 3*w = -12. Suppose 2*d + c - 14 = 0. Let g(r) = r**2 - 6*r + 7. What is the lowest common multiple of g(d) and 16?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -34404.2600038 + 34404.61. Let j = x - 0.35. What is j rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -210?\nAnswer: -1\/210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 208 = 5*m + 22, 2*i = -6. Suppose 0 = -3*y + 3*g + 51, -5*g = y + 13 - m. Put -1, y, -5 in descending order.\nAnswer: y, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 + 15*f. Let u(x) = -2*x**2 - 29*x. Let s(r) = 11*d(r) + 6*u(r). Let i be s(-4). Suppose -w = w - i. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9719 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 - 5*v**2 + 6*v - 2. Let h be i(-6). Let m = 2 + h. Find the second derivative of -2*o**5 + 6*o**5 + m*o + 4*o wrt o.\nAnswer: 80*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14 + -16. Let o = 2 - 1.6. Let d = o + -1.4. What is the second biggest value in d, -2\/5, u?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*x - 262*x + 15910 = 405*x - 19568 for x.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of 65\/2*r**2 + 0*r + 37. Let n(i) = i. Give n(m(x)).\nAnswer: 65*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1916 and 64045174.\nAnswer: 958","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*v**3 - 6178480185*v - 31*v**3 + 6178480185*v.\nAnswer: 15*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-4\/5)*p\/(p\/(p\/((p\/(p\/(p\/p**(-16))))\/p*p*p))*p))\/(p**(-2)*p\/p**(1\/4)) assuming p is positive.\nAnswer: p**(-351\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -32*z**3\/3 + 2440*z**2\/3 - 93025*z\/6 = 0. What is z?\nAnswer: 0, 305\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -563*r - 176. What are the prime factors of o(-7)?\nAnswer: 3, 5, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 greater than or equal to 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 8 - 25 - 2*f)*(f - 2*f + 4 - 2) as s*f + h + c*f**2 and give s.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, -5, -597\/5 in increasing order.\nAnswer: -597\/5, -5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -201, 2, -243?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10122111 - -202120210?\nAnswer: 121221022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14463 = 7*c - 4*c - 2*q, 4*c = -2*q + 19270. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82*c - 4*c**2 + c**2 - 2*c**2 - 87*c = 0. What is c?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1813 + -1573. Calculate the highest common factor of 64 and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 317 + -164. What are the prime factors of t?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 127200004 and 2556784.\nAnswer: 508800016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 2:58 PM?\nAnswer: 6:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v**3 - 222*v**2 + 4637*v - 11940 = 0. Calculate v.\nAnswer: 3, 20, 199","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-seven halves of a decade in months?\nAnswer: 5220","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39860030 is divided by 1355?\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 462\/(-1008)*108\/(-264)?\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (207*n**3 - 102*n**3 - 106*n**3 + 17)*(-37*n + 33 - 33).\nAnswer: 37*n**4 - 629*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 581 - 2788. Let h = q - -8464. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the first derivative of 7*b**6\/9 - 8*b**5\/5 - 67*b**4\/6 + 24*b**3 + 12*b**2 + 140. What is y in w(y) = 0?\nAnswer: -3, -2\/7, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 37866\/16*66\/(-27). Let u = -5781 - g. Let x = 88277\/22 + -4011. Calculate the common denominator of u and x.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 93238.97ml?\nAnswer: 93.23897","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the first derivative of p**3\/9 - 373*p**2\/3 + 139129*p\/3 - 615. Find s, given that j(s) = 0.\nAnswer: 373","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 33 and 880.\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*g + 54 = 23*g for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1987446139?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 17468926799 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-75)\/200*(-1)\/2.\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 0.9, -1\/4, 4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 1, 2, -10.93, -2\/9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21823?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 2 = 2*b, -b = -5*b + 4. Suppose -n + m - 1 = -6, r = 2*n + 4*m + 2. Suppose 0 = 3*f + n*h - h - 5, 0 = -5*h - 25. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2.3652 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 l when three letters picked without replacement from lkkel.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the third derivative of -g**7\/70 + 43*g**6\/40 + 355*g**4\/3 - 342*g**2 + 6. What is the second derivative of d(n) wrt n?\nAnswer: -36*n**2 + 774*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v + 35. Let x be i(0). Suppose 0 = -5*w - 0*w + x. Suppose 0 + 22 = 2*z. Calculate the least common multiple of z and w.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 215*m + 214*m - 106 = 0, 0 = -3*g - 6*m - 6. Let f(d) = 37*d - 1. Calculate the remainder when f(1) is divided by g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.185 rounded to one decimal place?\nAnswer: 51.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*h**2*r - 808586*h**2 + h*r - 197416 wrt h.\nAnswer: 6*r - 1617172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 n when two letters picked without replacement from {l: 1, q: 1, i: 1, n: 2, u: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/10 of a decade?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/7 + 614590*a\/7 + 94430217025\/7.\nAnswer: (a + 307295)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 0 - 3)*(3*o - 24 + 24)*(-o**3 + 4*o**3 - o**3) to p*o**4 + u*o**3 + r*o**2 + t + m*o and give p.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 5*v - 35 = 0, 4*i - 4*v - 16 = 3*i. Let b(t) = -2*t**3 - 4*t**2 - 2*t. Let j be b(-3). Suppose -f = -i*f + j. Solve y = -y + f for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 17450 and -60?\nAnswer: -1047000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ryyr when four letters picked without replacement from {v: 1, r: 5, y: 3}.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert a (base 14) to base 15.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 3 - 3*r - 2*r)*((-2*r + 4*r - r)*(2 - 19 - 3) + 3*r + 0*r - 4*r + (0 + 4 - 2)*(r - 4*r + r)).\nAnswer: 125*r**2 - 125*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1166\/(-8) - 27\/(-36). Let y = p + 435. Let h = y + -519. Round h to the nearest 10.\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**0*f)\/f**3*(f\/((f**(7\/3)*f)\/f))\/(f\/(f\/f**(3\/5))) assuming f is positive.\nAnswer: f**(-59\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 2*o - 47, -4*k - 2*o + 81 = k. Suppose k = 8*c - 15. Find the third derivative of t**2 - 407*t**c + 9*t**2 + 412*t**4 wrt t.\nAnswer: 120*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/93, 4\/3, -0.3 in decreasing order.\nAnswer: 4\/3, -1\/93, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - t + 0 + 3 - 6*t**2 as j*t + n + i*t**2 and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/((m**7*m*m*m)\/m))\/(m**(1\/3)*m)*m*m**5\/m*m*m**(-1)*m*m assuming m is positive.\nAnswer: m**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from avvvvayqs. Give prob of picking 1 y and 1 q.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/4 of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20*d**4 - 16*d**4 + 41*d**4 + 9*d wrt d.\nAnswer: 60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 PM and 3:56 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 20141 or 20187?\nAnswer: 20187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -195 less than 560?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -84 - 87. Let a = m - -178. Solve j - 6*l + 4*l = a, -5*j + 5*l + 15 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 23 = 5*a - 2*v, 0 = 4*a + v - 10. Suppose 161 = -a*t + 77. Let l = t - -132. Calculate the remainder when l is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:08 PM and 11:12 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 + 3\/5*b - 6\/5*b**2 + 3\/5*b**3 = 0. Calculate b.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 87589 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -x**2 - 3212*x + 5452321. Determine d(1228).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 591, 1122, 1677, 2268, 2907, 3606?\n\"Answer: 2*q**3 + 517*q + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y**2 + y + 6. Let o be s(10). Let z = -1510\/7 + o. Put -0.2, 3, z in descending order.\nAnswer: 3, z, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2832 + 8324. What are the prime factors of i?\nAnswer: 2, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*w - 5*d - 20 = -11*w, 0 = -w - 5*d for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 AM and 9:54 AM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-10 - 0) + 16 + (-6 - 6) + -2\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*y**2 - 80*y + 14 - 33 - y**3 + 17 + 3*y**2 in the form c + i*y**3 + s*y + v*y**2 and give s.\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 69 and 161.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/6 - 1\/(-2). Let m be w\/3 + (-71)\/(-3). List the prime factors of 0 + (-5)\/((-15)\/m).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000 (base 2) in base 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 4*o - 21, -2*d + o + 0*o - 25 = 0. Let q(c) be the first derivative of -c**4\/4 - 4*c**3 - 6*c**2 - 691. What is q(d)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*z + 366*z - 20940 = -496*z - 67924 for z.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 16*a**2*m**3 + a**2*m**2 + 9*a**2*m + 4*a*m**5 - m**2 wrt m.\nAnswer: 96*a**2 + 240*a*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(800)*2 + 1 - 1*((sqrt(98)*-1 + sqrt(98) + 2)**2 + sqrt(98))) + -1.\nAnswer: -4 + 33*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -10 + 10 + a + a. Let r(b) = -b. What is k(r(d))?\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 AM and 9:13 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 n, and 1 p when three letters picked without replacement from {x: 3, v: 2, z: 1, a: 1, p: 10, n: 1}?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -58 - -60. Suppose 3*u = -x - 2, 0 = b*u + u. What is the least common multiple of 25 and 20*(x - 20\/(-8))?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of -5*s**7\/42 - 5*s**3\/6 + 3*s + 13. Let o(k) be the first derivative of u(k). Find the second derivative of o(v) wrt v.\nAnswer: -100*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2144 divided by -514.\nAnswer: 1072\/257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -548*s**4 - 5719*s**3 - 13063133*s**2?\nAnswer: -13152*s - 34314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1730879 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3818, -3628, -3312, -2870, -2302, -1608?\n\"Answer: 63*b**2 + b - 3882","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -135080*w + 69394*w + 65686*w - w**3.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/9, -32, -4, 2, -58\/3 in decreasing order.\nAnswer: 2, -4\/9, -4, -58\/3, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -945 at least -386192\/409?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, -3906 in descending order.\nAnswer: -1, -3, -3906","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 454 + -453.102. Let d = -0.102 - l. Which is the nearest to d? (a) -5 (b) -0.4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -208e1 (base 15) to base 9.\nAnswer: -166574","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -32? (a) -1 (b) 3 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4685 a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the third derivative of a**4\/24 - 8*a**2. Let b(s) = -2*s. Give q(b(c)).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**2 + 4*b**2 - 3*b**2)*(-b + 0 + 0) + 3*b**3 - 3*b**3 - 2*b**3 + 8*b**2 - 8*b**2 - 5*b**3 - 1 + 1 - 2*b**3.\nAnswer: -12*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 9*z - 8)*(2*z - 6*z + z) + (0 + 0 + z)*(-5*z + 0*z + 4*z) - 1039 - 53*z**2 + 1039.\nAnswer: -81*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -92, -184, -276?\n\"Answer: -92*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from snnggnsnknknnwxxnnn. Give prob of sequence xxn.\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30993, 30996, 31001, 31008, 31017, 31028, 31041?\nAnswer: 31056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of o**5\/70 + 2*o**4\/21 + o**2 + 474. Find p, given that h(p) = 0.\nAnswer: -8\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - y + 36 = y, 5*y - 36 = -3*s. Let u = s - 11. List the prime factors of 2*u\/((-4)\/(-40)).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of w**6\/15 + 8*w**5\/25 + 2*w**4\/5 - 4*w**3\/15 - w**2 - 4*w\/5 + 24. Factor a(z).\nAnswer: 2*(z - 1)*(z + 1)**3*(z + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00008229698 rounded to 5 decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2956*z**3 + 1224*z**3 + 1736*z**3.\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4 - 0 - (-56)\/2. Let k = c - 18. Let g = 27 - -15. Calculate the highest common factor of g and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 413*i**3 - 10*i**2 + 5*i + 2. What are the prime factors of q(2)?\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8333393*u**3 - 50056*u**2 - 23*u wrt u.\nAnswer: -50000358","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36237, -72447, -108669, -144909, -181173?\nAnswer: -217467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -57*l**2*w**2 - 5*l*w**2 - 925*w**2 + 1 wrt l.\nAnswer: -114*l*w**2 - 5*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 - (206 + -198 - (1 - -48)).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 4:44 PM?\nAnswer: 4:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9529, 76181, 257095, 609403, 1190237, 2056729, 3266011, 4875215?\nAnswer: 6941473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1966 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -6*n + 43, 5*n - 32*y - 30 = -27*y. Put n, -2, 5.1 in increasing order.\nAnswer: -2, 5.1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3 + 1 - 3)*(0*o - 2*o + 5*o) - o + 1 - 1)*(2 - 3 + 2) in the form r*o + u and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u**3 - 6*u**3 - 7*u**3.\nAnswer: -9*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 15*a. Suppose -120*h - 8 = y - 121*h, -2*h + 6 = 0. Let z(v) = 30*v. Give y*q(m) + 3*z(m).\nAnswer: 15*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 102 + -75. Is q a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4247, -35369, -119931, -284681, -556367, -961737, -1527539?\nAnswer: -2280521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/4)\/((-20283)\/(-1318395))?\nAnswer: -65\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p**3 - 2*p**2 + 2. Suppose -q = -3*t + 8 - 1, 9 = 3*t - 3*q. Let y be c(t). Solve -3*g - 4 = -y for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*w - z - 0, 4*z - 28 = -5*w. Let f = 32 + 26. Suppose -65 = -4*p - h, 19 - f = -3*p - 4*h. What is the remainder when p is divided by w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-719*w**2 + 623*w**2 + 302*w**2)*(4*w - 4*w - 3*w) + 6*w**3 - 2*w**3 - 3*w**3.\nAnswer: -617*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -263469, -263473, -263479, -263487?\nAnswer: -263497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (125 - 347*h**3 - 125)*((-3 - h + 3)*(-4 + 5 - 2) + 0 + 0 - 3*h).\nAnswer: 694*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2*o + 16. What is q(11)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 634?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + 97?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 26\/14 + (-2)\/(-14) + 24. Let q = 30 - h. Suppose 2*p - 5*m - 11 = 0, -q*m + m = 4*p - 61. Solve i = -g - 1, -2*g = 3*g - 3*i + p for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and 4354.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -93554328 by -1272.\nAnswer: 73549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**2 + 4*s. Let d be x(2). Suppose -5*u - i + 120006 = -d*i, -5*i = 3*u - 71990. What is u rounded to the nearest one thousand?\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*f**3 - 42270*f**2 + 33804*f - 6760.\nAnswer: (f - 1690)*(5*f - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 28 = 4. Let j(x) = 8*x**2 + 12. Let a be j(3). What is the greatest common factor of a and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 13. Let b(y) be the second derivative of y**5\/20 + 3*y**4\/4 + 4*y**3\/3 + 3*y**2\/2 - 2*y. What is the units digit of b(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -6, 0.4, -2, -330, -5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 4 (b) 0.67 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.038716084 to 3 decimal places.\nAnswer: 0.039","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q + 12. Let m be t(-5). Let c(k) = k**3 - 18*k**2 + 16*k + 7. Let z be c(m). Suppose 0 = 6*a - a. Sort z, -4, a in decreasing order.\nAnswer: a, -4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68695.\nAnswer: 5, 11, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2120610 from 404.462.\nAnswer: -2120205.538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 111 + -79. Let q(w) = w**3 + 6*w**2 - 9*w - 9. What is the remainder when p is divided by q(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -118 in -1\/6, 5, -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 3, -2, 1\/5, 6.1, -13.22.\nAnswer: -13.22, -10, -2, 1\/5, 3, 6.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 - 16*p**2 + 17*p - 21. Determine k(14).\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f**3 + 86*f**2 - f + 88. Let g be l(43). What is the greatest common divisor of g and 105?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 474*p = 485*p - 9889. Calculate the greatest common factor of p and 116.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = k**2 + k - 4. Suppose i - 2*w = 14, 2*i + 0*w = -w + 3. Suppose -5*f = -4*f + 5*g + 10, 3*g = i*f - 6. Give h(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 2*y + 3*m + 11 = 0, -y = 2*m. Let l be -5 - ((-36)\/32 + -5 + 1). Let i = -6 - -6.5. Which is the nearest to -0.2? (a) i (b) y (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15 - -17. What is the common denominator of (g\/(-14))\/((-2)\/110) and 131\/12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3300) + (5*sqrt(3300) - sqrt(3300)) - sqrt(3300))*-3)\/(sqrt(300) - (1*sqrt(24))\/sqrt(8)).\nAnswer: -40*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1303747 = 34*d - 727447. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -5. Let o = 3 - p. Let b(i) = -2*i**3 + 3*i**2 + i - 3. Suppose 0 = -n - 16 + 19. Let d(l) = -l**2 + 1. Determine n*d(q) + o*b(q).\nAnswer: -2*q**3 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -31*j**3 - 3098*j**2 - 77300*j + 5000.\nAnswer: -(j + 50)**2*(31*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v - 84. Let k(w) = 16*w**2 - w. Give k(r(p)).\nAnswer: 16*p**2 + 2689*p + 112980","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -35*k + 24*k + 2024. Let z be 46\/k*8\/(-3). What is the smallest value in 1, -6\/11, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t - 9. Let p be q(12). Let r = p + 23. Solve -2 = -c + r*b - 0, -2*c + 2*b = 2 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -21695 and 11.\nAnswer: -238645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 2 (c) -1\/50 (d) -29 (e) -34 (f) -27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2494965 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h - 1. Let b(t) = -57*t + 84. Let y(d) = b(d) - 15*w(d). Does 85 divide y(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -21094967.94 to the nearest 10000.\nAnswer: -21090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 6*i - 5 - 8*i + 1. Suppose -3*t = -0*t. Suppose t*s - 8 = -s. Let a(r) = 5*r + 11. Give s*l(m) + 3*a(m).\nAnswer: -m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-48)\/140)\/((-12)\/(-30)).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*f + 4*a, 5*f + 5*a = 9*f + 35. Sort -3, -94, f in increasing order.\nAnswer: -94, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 1:27 AM?\nAnswer: 4:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-57941 - 68*q + 57941)*(-q + q - q) in the form c*q**2 + y*q + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 6.2 - 18165.43\nAnswer: -18159.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (-97)\/((-2)\/2 + 0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 757029?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3*w + 2)*(-2*w**4 + w**4 + 3*w**4) - 3 + 3 - 2*w**5 + (-4 + 3 - 8)*(3*w**5 - 6*w**5 + 2*w**5) + (4*w**4 - 3*w**4 + 2*w**4)*(-w + w + w).\nAnswer: 16*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**3. Let r(l) = -19*l**3 - l**2 - 2. Let u(y) = 4*m(y) - r(y). Let d be u(2). Let c = -17 - -31. What is the highest common factor of d and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 5 (b) -168 (c) 2\/9 (d) 4 (e) -3 (f) 8\/23\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8032 - -8055. Suppose -4*m + 264 = 3*z, 4*z + 264 = m + 3*m. What is the remainder when m is divided by f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2 + -3.3. Let y = b - 8.5. What is y rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g - 3*g - x - 1, 5 = 5*x. Let h(p) = 187*p**2 - 17*p + 28. Does 42 divide h(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -6*o**3 - 6*o**2 - 4*o + 1. Let s(w) = -5*w**3 - 6*w**2 - 4*w + 1. Let q(h) = 4*m(h) - 5*s(h). Suppose 107*t + 777 + 458 = -140*t. Give q(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (136\/20)\/((-1)\/(-15)) a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/2 + 39*s**2\/2 + 148*s - 168.\nAnswer: (s - 1)*(s + 12)*(s + 28)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1604 and 15.4?\nAnswer: 24701.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/1174838 and -10\/966399?\nAnswer: 59916738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2157057\/18476 + -4\/4619. Let o = g - -116. Let k = -34.97 - -35. Sort k, o, -2\/9.\nAnswer: o, -2\/9, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -h - 2*h - 8580, -3*t = 2*h - 5129. Suppose k - p = 3*k - t, -k + 859 = p. Suppose -3*l = -k - 2509. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4.1 (b) -3 (c) -3\/2 (d) 0.9 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/3 (b) -2\/9 (c) -3\/7 (d) -2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.14 * -0.02\nAnswer: -0.0028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 28*i**3 - 8*i**2 - 8*i - 2. Let l be x(-3). Let p = -73 - l. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 0 - 2)*(-v - v - v)*(0*v**2 + v**2 - 11*v**2) to m*v + n*v**2 + k*v**3 + u and give k.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-35)\/(-10))\/(-7)*(6 - 6). Let y be (1 - 0 - 0)\/1. Solve -p + v = y for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -4 (b) -1142 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4888624213 rounded to the nearest 100000?\nAnswer: -4888600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 17 = 4*r + 4*m, -2*r - 5*m + 17 = 0. What is the least common multiple of 792 and r?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -729575304 by -4.\nAnswer: 182393826","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-27)\/(-39))\/((-9)\/(-6)). Let p(t) = -t**2 + 4*t + 5. Let z be p(5). Is d bigger than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**3 - b**3 - b**3)*(4 - 4 - 2*b) + 2*b**4 - 3*b**3 + 5*b**3 + 0*b**3.\nAnswer: 8*b**4 + 2*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*k + 23 - 8. Suppose 0 = 4*t - 4*o + k + 9, -5*t - 3*o = 7. Which is the biggest value? (a) 0.08 (b) 1 (c) -3 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27604836?\nAnswer: 2, 3, 7, 15649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4040 + -103?\nAnswer: 3432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97 = -16*b + 241 for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17953 and 1501838?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-11*x + 7*x - 3*x)*(1 - 3 - 1) - 2*x + 2 - 2)*(3*x**2 - x**2 - x**2).\nAnswer: 19*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(46\/46*63\/(-3)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -72 + 242. Is g a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18499703 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 0)*(-m + 3*m - m) + 2*m + 0*m - 4*m + 289*m + 289*m - 553*m - 7.\nAnswer: 21*m - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 2 + 4 - 2*g)*(105 + 290 + 144) as x*g + n and give x.\nAnswer: -1078","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.36896 - -0.03104. What is the closest to -2\/5 in 0, -1\/4, r?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-69)\/(-506)*-44)\/((-4)\/(-22)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -71*k - 564. Determine n(-8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 PM and 2:47 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 22, -222, -3, 5, 1 in decreasing order.\nAnswer: 22, 16, 5, 1, -3, -222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1101 a factor of 79032799?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -97 + 102. Suppose 5*i - 3 = 3*i + 3*g, 5*g + l = -i. Solve -2*t - 2*t + 8 = i for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 3*i = 19, 0 = 2*i - 4 - 6. Suppose 4*r - 89 = -v - 53, 2*v - 18 = -2*r. Put v, 13, -3, c in descending order.\nAnswer: 13, c, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 55547474?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 116483 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 + 5 - 1 + 5*p - 2. Is g(4) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c + 1. Let g(n) = n**2 + 2*n - 2. Let k(z) = z**2 + z - 1. Let x(m) = -2*g(m) + 3*k(m). Let j(v) = -s(v) + x(v). Let p(r) = 5*r**2. What is j(p(l))?\nAnswer: 25*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 56 and 1316?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -1.9. Let h = i + 13.6. Let l = h - 14. Which is the smallest value? (a) -3\/5 (b) l (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1118*h**4*v + h**2*v + 2*h**2*x + 37786*h*v - h*x wrt h?\nAnswer: -13416*h**2*v + 2*v + 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00080011134 to five decimal places.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 9 + -5 + (0 - 7) - 12\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 174 = -12*c + 11*c, 3*d = c + 259. Calculate the highest common factor of 29155 and d.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 5*i - i = 525, i + 5 = 0. Let r = -26 - -184. Suppose -4*j - j + p = -r, -4*j - 5*p = -g. What is the greatest common divisor of 31 and j?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 + z - 1. Let m(y) = -51*y**2 + 2*y - 1. Suppose 0*q + 4*q = 4. Let g(t) = q*c(t) - m(t). List the prime factors of g(-1).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2420)\/3630 + 82\/(-12))*3\/72.\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 506 and 22.\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + d + d + (3*d - 2*d - 3*d)*(-2 + 0 + 4))*(-5*d - 5*d**2 + 4*d + 3*d**2).\nAnswer: 6*d**3 + 3*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 50470 divided by -6\nAnswer: -25235\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 873?\nAnswer: 3, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -110, 2, 2355 in descending order.\nAnswer: 2355, 2, -110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-15)\/(((-3)\/842)\/((-22)\/(-4)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - w = 40. Does 9 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + 2*g + 0*g)*(-161 + 98 + 117)*(-4*g**2 + g + g**2 - 2*g).\nAnswer: 162*g**3 + 54*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -221 (base 3) in base 2?\nAnswer: -11001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1836 and 117.\nAnswer: 23868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 110 (b) 6.227 (c) 5 (d) -1 (e) 1\/5 (f) 1.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*t + 23*t = 4*p + 112, -p + 269 = -2*t. Is -114 at most t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.0464 - 4.7336. Let k = j + 0.78. Let s = 1181\/7 - 169. What is the nearest to -2 in s, -1, k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 98*n - 93*n = 60474, 0 = -5*n - 10. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = 3*p + 4, -4*p = -4*m + 10*m + 40 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from attkcdtgtkkgt. Give prob of sequence cgat.\nAnswer: 1\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -2*k**2. Let u = -7 + 15. Let i(o) be the first derivative of 9*o**3 - 5*o**3 - u + 2. Determine n(i(t)).\nAnswer: -288*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2 (b) 5\/212 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-153930)\/(-123144))\/(2\/((-2)\/(-10)*352))\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3 and 176?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19364 and 412?\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of -2*o**6 - 16*o**5\/5 + 8*o**4 + 24*o**3 + 22*o**2 + 8*o + 12. Find d, given that v(d) = 0.\nAnswer: -1, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 575312864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29 - 14*w - 13*w - 5*w + 18*w.\nAnswer: -14*w + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 68568 and 94281.\nAnswer: 754248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -193 - -198. Suppose -17 = -4*f + 19. Which is the smallest value? (a) 4 (b) f (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.461531 grams to tonnes.\nAnswer: 0.000004461531","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2378 and 1167926.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (114 + 35 - 7)*(-2 - 2*c + 2 + 1) + 0 + c + 0.\nAnswer: -283*c + 142","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.364294l?\nAnswer: 364.294","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*l = -13*l + 3*h - 216, -2*l = -5*h - 108. Calculate the smallest common multiple of 32 and l.\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35366160.\nAnswer: 2, 3, 5, 101, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - (-10)\/1)\/2. Let n(f) = -62 + f - 54 + 119 - 3*f. What is n(i)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + f = -4 - 3, f - 8 = -3*x. Let g = -5 - -10. Let m(p) = p**3 - 6*p**2 + 5*p + 1. Let b be m(g). Solve -3*t + b = -3*c + 4, 0 = x*t - c + 9 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of -4*a**2 - 5\/6*a**4 + 6*a + 0 + 8\/3*a**3 + 1\/10*a**5. Factor n(s).\nAnswer: 2*(s - 2)**2*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -3*j**2 - j - 32. Let s(w) = 7*w**2 + 2*w + 64. Let r(o) = -9*d(o) - 4*s(o). Let h be r(6). Solve -h*v + 5*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - c = 1, c = 4*t + 13 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 218eb2 (base 15) in base 8?\nAnswer: 6064314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -16, 3*x - 279 = -5*m - 96. Is 39 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x**4 + 2*x**4 + x**4)*(0*x - 2*x + 44739 - 44664).\nAnswer: 2*x**5 - 75*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 244796006 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-46)\/8 - 2\/(56\/(-21))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*a + 5*a - a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 103 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccccccc. What is prob of sequence cccc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 + 4*u**2 + 8*u - 4. Let v be h(4). What is the greatest common factor of v and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.02 in 26, 34, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2532723 divided by 844241.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 13 - -83 - (-4)\/((-12)\/(-9))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 3*h = 70. Suppose -2*c + 2*r + 16 = 0, -c - 2*r + 4 = -4*r. What is the remainder when h is divided by c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 0.2 (c) 2 (d) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 330116 = -2*g, -23*g + 2*k + 330092 = -21*g. Round g to the nearest 1000.\nAnswer: 165000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13157626.\nAnswer: 2, 17, 386989","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b**2 - 7*b + 9. Let a be l(3). What is the third derivative of a*h**2 - 14*h**5 - 48*h**5 + 20*h**5 + 0*h**2 wrt h?\nAnswer: -2520*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111000 (base 2) in base 10?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - 2 - -1 - (21 + -54 - -46)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2815 and 5374961.\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 115*s**3 + 15*s**2 + 5*s - 3245. Let i(l) = 57*l**3 + 6*l**2 + 2*l - 1621. Let w(b) = -5*i(b) + 2*n(b). What is the derivative of w(m) wrt m?\nAnswer: -165*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(0 + sqrt(13))*1 + 4)**2.\nAnswer: -16*sqrt(13) + 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 50\/275 - 56\/(-418)*1. Which is the closest to -2\/5? (a) -2\/5 (b) 0.5 (c) q (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k + 22 + k + 3*k + 11*k.\nAnswer: 17*k + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 20 = 2. Let x(k) = -k**3 - 7*k**2 - 8*k. Calculate x(o).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 168212 divided by 168212?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*q - 670 = -2268. Calculate the least common multiple of 116 and q.\nAnswer: 1972","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 23, -3, -1 in increasing order.\nAnswer: -5, -3, -1, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 4*i**3 + i**2 - 2*i + 1. Let w be p(1). Let b = 1790 - 1788. Put -3, w, b in descending order.\nAnswer: w, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 4*m + 112. Let o = m - -137\/5. Sort 1\/3, o, -1\/10 in increasing order.\nAnswer: o, -1\/10, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dj when two letters picked without replacement from {j: 5, d: 1, x: 6, q: 3}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -6600*k. Let l(c) = 66 + 3*c - 66 + 7*c - 8*c. Calculate h(l(t)).\nAnswer: -13200*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 2*w + 6, -2 = 5*w - 5*k + 3. Suppose -n - 7 - w = 0. Let s = n + 14. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 - 198 = -2*l. Let p = 108 - l. Let z be ((-6)\/3)\/(6*5\/(-5)). Put z, p, -3\/5 in increasing order.\nAnswer: -3\/5, z, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -1.2, -3, -1, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/5 - 19098\/6345. Let z = 5789\/2068 + c. Find the common denominator of z and -91\/20.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15.62 + -11.62. Let r be 100\/(-160)*(-4)\/10. Let t = 2 + 1. What is the closest to 1 in t, f, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -60400000 rounded to the nearest one million?\nAnswer: -60000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 - -11.1. Let q = 0.3 - 0.3. Let k = -5 - q. Which is the nearest to u? (a) 3 (b) k (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -4*w**5 + 68*w**4 + 660*w**3 - 11124*w**2 - 17280*w + 129600 = 0.\nAnswer: -12, -4, 3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/53 in 3\/2, -3\/23, -1, -3?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 AM and 6:07 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 329*m**2*w**4 + 702*m**2*w + 57061*m*w**2 + 1715*m + 2*w - 9 wrt w?\nAnswer: 3948*m**2*w**2 + 114122*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w + 3611*w**2 - 2*w - 3789*w**2)*(2*w + 2*w - 3*w).\nAnswer: -178*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 + 2. Let i be 186\/n*(-6)\/4. Let m = i - 17. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*v + 0*v + v)*(238*v + 188*v + 57*v + 6 - 2) in the form h + d*v + q*v**2 and give q.\nAnswer: -483","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(1\/2))**(-5\/8))**(-41) assuming v is positive.\nAnswer: v**(205\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00020987126 rounded to 5 decimal places?\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -37, 0, 2, 159?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -12 or -0.15?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 396*j - 4771. Let q be n(12). Let z be 2\/4 + 10\/(-28). Sort z, 1\/4, q in ascending order.\nAnswer: q, z, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3*(-2 - (-12)\/3). Let x(h) = -h - 3. Let p be x(r). Suppose j - 4*j = -5*d + 11, p*j + 3*d - 21 = 0. What is the smallest common multiple of j and 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 3, b: 7}. What is prob of picking 3 y?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a kilometer in meters?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 340\/1428*(((-12)\/(-15))\/2)\/((-9)\/(-18))?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uwxxwxuxxxwux. What is prob of sequence xwxw?\nAnswer: 21\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhz when three letters picked without replacement from {h: 4, s: 3, u: 2, z: 2, l: 1}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 72, 2, -2 in increasing order.\nAnswer: -2, 2, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 209905.11 months to decades.\nAnswer: 1749.20925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 162003732.\nAnswer: 2, 3, 11, 1227301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -3492, -6374, -8644, -10302, -11348, -11782?\n\"Answer: 306*r**2 - 3800*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -d**5 + 42*d**3 + 152*d**2 + 183*d + 72 = 0.\nAnswer: -3, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -21*g**3 - 13*g**2 - 5. Let i(d) = 21*d**3 + 15*d**2 + d + 6. Calculate -5*i(l) - 6*q(l).\nAnswer: 21*l**3 + 3*l**2 - 5*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156*d - 1260*d - 158*d - 40384 = 0 for d.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 493575 + -493573. Factor -12\/7*i**3 + 69\/7*i**y - 6*i - 15\/7.\nAnswer: -3*(i - 5)*(i - 1)*(4*i + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 107\/72 and 85\/18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 c, and 1 y when three letters picked without replacement from {d: 2, e: 1, y: 3, c: 3, j: 9}.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6281.1 and 0.06.\nAnswer: 376.866","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2165158 days to milliseconds.\nAnswer: 18706965.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 479*b + 12832 + 2920 = -15880 - 7646 for b.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**4 + 3509732*u**3 + 1539784358426*u**2 + 6159095316984*u + 6159081278088.\nAnswer: 2*(u + 2)**2*(u + 877431)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*g - 12*d + 886, 0 = -14*g + 1908*d - 1910*d + 174 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes after 9:09 PM?\nAnswer: 3:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, o: 1, y: 2, r: 1, n: 2}. What is prob of sequence nn?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 (base 13) in base 12?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 292, -162, 20 in descending order.\nAnswer: 292, 20, -162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46 divided by 12921216.\nAnswer: -1\/280896","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.311653 tonnes to micrograms.\nAnswer: 311653000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d**(3\/2)\/d*d*d)**(-11))**(-2\/27))**13)**5 assuming d is positive.\nAnswer: d**(3575\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**4 + c**3 - c**3)*(3 - 3 - 2)*(-131*c + 140*c - 113*c).\nAnswer: -208*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -258, -269, -278, -285, -290?\nAnswer: -293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.5, -4.1, 12, -0.2, 4\/9?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 141009 divided by -10?\nAnswer: -141009\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.25388 rounded to 2 dps?\nAnswer: 9.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 29*p. Let k(n) = 1168*n. What is k(a(c))?\nAnswer: 33872*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30*(2 + 12\/(-9)) and 12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*u - 161 = -182 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/9 + (-8)\/12\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from buuxxuuffubf. What is prob of picking 1 f, 1 x, and 1 b?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 22*s**3 - 5*s**2 - 27*s + 12. What are the prime factors of b(4)?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**4\/6 + 20*l**3\/3 - 133*l**2\/2 - 20*l\/3 + 200\/3.\nAnswer: -(l - 20)**2*(l - 1)*(l + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1120 + -23420?\nAnswer: -22300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 121878 (base 16) in base 8?\nAnswer: 4414170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19926.\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/10 + 426\/15. Let l = a - 21. Let m(z) = z**2 - 5*z - 2. Let r be m(l). Calculate the highest common divisor of r and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23696525 plus 5?\nAnswer: -23696520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i - 2*s + 10, 5*i - s = -0*s + 2. Suppose l - 1 - i = 0. Does 2 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*t**6 + 4*t**5 + 10*t**2 - 2.\nAnswer: -600*t**3 + 240*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 181142729 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 9, 13741 in descending order.\nAnswer: 13741, 9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o**5 - 211255*o**4 + 1267315*o**3 + 1478575*o**2 = 0 for o.\nAnswer: -1, 0, 7, 42245","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3.01060912 + -3.0071. Round a to 4 dps.\nAnswer: 0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 28.68 - 27.68. Sort -3\/7, p, -0.5, 55 in decreasing order.\nAnswer: 55, p, -3\/7, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14708821?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12179 + 12186 + 12194 + 12187 + 12184 - 60909 + 2*q.\nAnswer: 2*q + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -269.267 - -269. Let x = g - 2.733. What is the smallest value in 0.2, 15, -0.4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8475658cm to kilometers.\nAnswer: 0.000008475658","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-4)\/(-6))\/((-77)\/(-363)))\/(((-4650)\/175)\/31)?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - 2*w + (-7 + 7 - w)*(2 - 4 + 1).\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -268.78 + 273.78. Sort 9, -1, n, 2\/5, -0.05 in decreasing order.\nAnswer: 9, n, 2\/5, -0.05, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1220012 by 596.\nAnswer: -2047","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 977786?\nAnswer: 2, 488893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**1*f\/f**(-1\/2))\/(f*f\/((f*f**(-1\/4))\/f))**(2\/65) assuming f is positive.\nAnswer: f**(93\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53 - 23 - 30 - 186*x**2.\nAnswer: -186*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhpuupppvhh. Give prob of sequence pvph.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 13 - (66 + 67 - -19) - -13?\nAnswer: -126","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 13499 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 91096, 182182, 273266, 364348?\nAnswer: 455428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2b5b (base 14) to base 11.\nAnswer: 5893","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*j - 6*j**4 + 3*j**4 + 0*j**4 + 2 + 2*j - 5*j**4 + 6*j**3 in the form t*j + u*j**3 + g*j**2 + k + w*j**4 and give w.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-3) + ((-392)\/3)\/(-14). Let j(f) = 11 + 8 - 8*f - 3 - b. Let h(n) = 9*n - 7. Determine -6*h(m) - 7*j(m).\nAnswer: 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (67 - (29 - 22)) + -16 + -27.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 6*f**3 - 2*f. Suppose -2*o = -4*o + 4. Let z(v) = -2*v + 11*v**3 - v - o*v**2 + 0*v + v**2. Let t(h) = 7*x(h) - 4*z(h). What is l in t(l) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -974.71 and 2.839.\nAnswer: -971.871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (((-130)\/(-50))\/13)\/(51\/(-9)). Sort -2\/3, o, 1 in descending order.\nAnswer: 1, o, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000014763303 rounded to seven dps?\nAnswer: -0.0000148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 AM and 1:49 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1558316762.\nAnswer: 2, 779158381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.468 to two dps.\nAnswer: -0.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:30 PM and 12:47 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -2 + 3424*k**2 + 2 - 3425*k**2. Let j(h) = -6. Let c(o) = o + 2. Let w(r) = -6*c(r) - 2*j(r). Give p(w(m)).\nAnswer: -36*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of -o**7\/21 + o**6\/30 + o**5\/2 - 5*o**4\/12 - 4*o**3\/3 + 2*o**2 + 52*o + 1. Determine v so that n(v) = 0.\nAnswer: -2, -1, 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-564)\/52 - (-6)\/(-39). Let x = d + 10. Let o be ((-9)\/15 - x)*5. Solve -o*b = -4*f, -3*b + 8 = -2*f + 2*b for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000 + 101010000101?\nAnswer: 101001111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 740\/503 = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qr when two letters picked without replacement from rrrrrqrrqr.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - (0 + 8 + -1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 3*g - 16 = 0, 3*g - 31 = -43 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6.842995387 + 6.843. Round u to 7 decimal places.\nAnswer: 0.0000046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3161987?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2160908, 4321814, 6482720, 8643626?\nAnswer: 10804532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 + 2*x - 362. Give n(18).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) 4 (b) 0 (c) 1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*s + 28*s = 63*s + 216 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2*m - 6 + 3*m**2 + m**3 + 0*m**3 + 3*m**2. Let d = 8 + -14. What is the least common multiple of k(d) and 14?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 2*a + 3*a. Find the third derivative of 28*j**6 + 6*j**2 - 27*j**a - 3*j**2 wrt j.\nAnswer: 120*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/6)\/((-8)\/36). Suppose -y = -4*a - 44, y + z*a - 14 = a. Suppose 3*m - y = -0*m. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 2:56 PM?\nAnswer: 1:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 52213284281 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**2 - 4*c**3 - 2*c**2 + (0 + 0 + 2)*(2 + 3 - 4)*(-63*c**2 + 63*c**2 - 17*c**3).\nAnswer: -38*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of 3\/5*t**5 - 6*t - 4 + 0*t**2 + 0*t**3 + 0*t**4. What is the derivative of g(y) wrt y?\nAnswer: 12*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/(-21) + (-2)\/7. Suppose 0 = -b*u - 4*u + 12. Suppose 4*r = g + 72, 36 = -0*r + 2*r + u*g. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 3 = -2*i, 0*j = i + j + 9. Let a = -9 - i. Find the third derivative of 2*k**4 - 4*k**4 - k**2 + 5*k**3 - a*k**3 wrt k.\nAnswer: -48*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-30744)\/5033)\/(-3) - (-4)\/(-8)*4. Is d less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 973 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6454229793 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (-6 - -10 - 0)) + -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*k + 9*k + 54. What are the prime factors of (-117)\/k + (-6)\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 179\/2 - 88. Let h = 126.89 + -127. Let z = -0.09 + h. What is the second biggest value in r, -4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2836908.\nAnswer: 2, 3, 78803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 41.2 - -544.8. Let k = -583 + x. Which is the smallest value? (a) 111 (b) k (c) -1 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2825149 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 3\/28 (c) -2\/29 (d) -0.2 (e) -29\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6519867?\nAnswer: 3, 29, 74941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 928?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 41 + -40.8. Let y = -26 - -19.6. Let p = y + 6. Which is the closest to 0.1? (a) h (b) 5\/3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 40513323137\/8735 + -4638045. What is the common denominator of o and -16\/11?\nAnswer: 96085","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88197583 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 468\/1491 + 6\/(-21). Let r = 67\/142 + y. Let f = -0.3 + -1.7. What is the second biggest value in 0.3, r, f?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(176))\/sqrt(11) + sqrt(176)\/(sqrt(66)\/sqrt(6)))\/((1*sqrt(1440) + sqrt(1440) - sqrt(1440))\/(-1*sqrt(720))).\nAnswer: -6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3\/23 - 2563262*a**2\/23 - 5126530*a\/23 - 2563266\/23.\nAnswer: 2*(a - 1281633)*(a + 1)**2\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 7310.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 60*q**5 + 55328*q**4 + 19188684*q**3 + 2979325656*q**2 + 178425700992*q + 687931719552 = 0.\nAnswer: -231, -228, -62\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.02 (b) 0 (c) 1\/5 (d) -4\/3 (e) -10 (f) -9\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 3, 1\/2, -0.2 in increasing order.\nAnswer: -7, -0.2, 1\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**2 + 54*h - 359. Let c be b(6). Sort 3, c, -7, 61 in ascending order.\nAnswer: -7, c, 3, 61","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ixiiiiix. What is prob of picking 2 x and 1 i?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 = 8*i - 5*i. Let m = i - -56. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of 0*t + 0*t**3 + 0 + 0*t**6 + 4*t**2 - 1\/12*t**4 + 0*t**5 - 1\/35*t**7. What is the second derivative of l(w) wrt w?\nAnswer: -72*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 2*k - 4 = 0. Let h(l) = -4*l**3 - 13*l + 11*l - 2 + 17*l**2 - 19*l**2. List the prime factors of h(k).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-32)\/40)\/((-6)\/(-15))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*o**3 + o**4 - 10 - 3*o**3 + 7 - 2*o**4 as x*o + n*o**2 + f + i*o**4 + q*o**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -2972.3 to the nearest 100.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.3, 1\/7, -5, 241 in decreasing order.\nAnswer: 241, 1\/7, -1.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 286755412?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3388 and 2744.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 713 and 217.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9631 is divided by 241?\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-13)\/26)\/(1\/(-4)). Suppose 17334 = 2*h - 4*a, -k*a = -2*h - 5*a + 17306. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.0400681 rounded to 1 dp?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 321\/(-107) - (4 - 7). Solve 11*o + 6431 - 6332 = g for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/4 of a litre in millilitres?\nAnswer: 10750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 214162 and 6.\nAnswer: 214168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 64 + (2\/(-2) - 0). Let p be z\/14*8\/13. Let r = 305\/26 + p. Calculate the common denominator of r and -77\/6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ib when two letters picked without replacement from {i: 4, e: 2, b: 2, o: 1}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 + -3 + (59 - 29)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26.182 - 26. What is the second smallest value in 2, t, 0.3, -4\/7, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 9, -7.35275 in decreasing order.\nAnswer: 9, -0.3, -7.35275","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 25767463867 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, h: 1, q: 1, w: 4, r: 1, z: 1}. What is prob of sequence hyr?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 + 0 + -163 + (-308 - -420)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -16262950 divided by -6\nAnswer: 8131475\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 2*r = 24 + 4, 4*r = -f - 11. Let d(i) = 2*i + i - 3 + i**3 - f*i**2 + 3*i. What is the tens digit of d(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*z + 4489 + 73*z + 2209.\nAnswer: 101*z + 6698","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -0*r + 3. Let j be (13\/(-39))\/((-2)\/24). Is r\/j - (-202)\/8 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4130*i - 4135*i - 60 = 0 for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171)*-1)**2 + -2 + sqrt(19) + 1 + ((1 + sqrt(2736))**2 - 1*(sqrt(19) + -1)).\nAnswer: 24*sqrt(19) + 2908","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**18*w)\/(w*((w\/(w**(-8)*w*w))\/w)\/w*w) assuming w is positive.\nAnswer: w**(-23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15*(-7)\/21)\/(71\/213).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 287820 = 2945*j + 253*j for j.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9352*m**2 - 33*m - 140 wrt m.\nAnswer: 18704","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 4*a - 13. Let f(r) = -2*r + 6. Let z be (9 + -11)\/(2\/7). Calculate z*f(d) - 3*g(d).\nAnswer: 2*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 136082?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0646587 rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -137756 * -4.\nAnswer: 551024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1\/3)\/(m\/(m\/((m*m**(-4\/9))\/m))))**(-23\/2))**13 assuming m is positive.\nAnswer: m**(-299\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-92)\/(-46))\/(-1*(-1)\/(-8)). Let m(z) = -z**3 + 6*z**2 + 2*z - 5. Let k be m(5). Let p = k + a. Calculate the highest common divisor of p and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 376346 (base 13) to base 8\nAnswer: 5040701","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36667.931977 - -36668. Round o to 2 decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.408 and -1.6?\nAnswer: 0.6528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 7*d**5 + 2*d**3 - 13*d**2 + 2*d. Let n(z) = -22*z**5 - 7*z**3 + 40*z**2 - 7*z. Let u(g) = -7*k(g) - 2*n(g). Find the third derivative of u(w) wrt w.\nAnswer: -300*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 10, -5, 8584?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -25\/9?\nAnswer: -25\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -10*t**2 + 8 - 13*t + 9*t**2 + 8*t. Give h(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -761 and 6936.\nAnswer: -5278296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5456*t**2 + 5 + 10 - 10856*t**2 + 5428*t**2.\nAnswer: 28*t**2 + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u**3 + 187664036*u**2 - 375328084*u + 187664044 = 0 for u.\nAnswer: -46916011, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1d - -3a0d?\nAnswer: 39d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-18)*9*141*(-7)\/21?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -77 (b) -0.06 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -33 + 195?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-22)\/10 + 2)*-10 - 1. Put 4, -3, -23, u in increasing order.\nAnswer: -23, -3, u, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 100146388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 581, 2323, 5225, 9287, 14509?\nAnswer: 20891","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - sqrt(15)\/sqrt(3))*-5 + (sqrt(45))**2*-6 + 5 + sqrt(55)\/(-6*(sqrt(11) - sqrt(33)\/sqrt(3)) + sqrt(11)) + 1.\nAnswer: -264 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iuuiuiuuuiuuitutccuu. What is prob of sequence tt?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 18752?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2085745?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -36154 (base 7) to base 3.\nAnswer: -110211021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 41714127 and 4095?\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 346 is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.012 - 0.212. Sort 2, v, 3, 0.4 in ascending order.\nAnswer: v, 0.4, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 315 minutes after 2:27 PM?\nAnswer: 7:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1330 and 315.\nAnswer: 11970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -133 + 83. Let t = -18.4 - w. Let d = t - 31.729. What is d rounded to two decimal places?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2209 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 24 = -w, -7*v - 75*w - 45 = -77*w for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 PM and 6:06 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 4209?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -118087 - -239748. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6070554509 to the nearest integer?\nAnswer: 77914","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5086, -1, -49, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and -37?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -2*d**2 - 10821746*d - 10821744 = 0.\nAnswer: -5410872, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0.7, 2, -1?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/14)\/(2\/(8\/(-4)))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -59619.14*0.15\nAnswer: -8942.871","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -0.1, 1\/22, 11, -9\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 45516 at least as big as 182067\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**2 - 19*n - 48. Let t be k(-23). Let i be t\/(-168)*(-1 - 18\/(-10)). Which is the second biggest value? (a) i (b) -0.1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of i**6\/120 + 9*i**5\/20 - i**4\/12 - 17*i**3\/2 + 94*i**2. Let w be y(-27). Solve -w*j - 1 - 11 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -17\/5009 or -1?\nAnswer: -17\/5009","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27441856 is divided by 10274.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*b + 4*b + 3*b + b - 2 + 2 + (2 - 1 - 3)*(20 + 27 - 66)*(b + 0*b + b) to h*b + t and give h.\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**2 + 9. Suppose -3*u = -2*a + 12, -2*a - 5*u = -18 - 10. Let b(m) = 2. Let n(y) = a*b(y) - 2*v(y). Let p(q) = -4 - 3*q + 4 + 0. What is p(n(z))?\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the third derivative of -s**6\/60 - s**5\/30 + s**4\/12 + s**3\/3 - 9*s**2. Factor i(v).\nAnswer: -2*(v - 1)*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2538*-0.1\nAnswer: -0.02538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 3*c - 3*z - 4, 2*c = 3*z - 2. Suppose -c*y + 5 + 17 = 0. Let a = 35 - -6. What is the remainder when a is divided by y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -0.3, 3, 45, 8, 3\/10?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-288)\/(-13056)*-17 - (-1 - (-342)\/(-16))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 57 and 152.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-4)\/s**(-3\/7)*s**(5\/6)*s\/s**(-5))\/((s**(-2))**(-42))**(-22\/7) assuming s is positive.\nAnswer: s**(11225\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together -6 and -0.094.\nAnswer: -6.094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 21 - 85 = 0. Let p = 17 - o. What is the closest to p in 0.5, -5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4964099 to the power of 1\/2, to the nearest integer?\nAnswer: 2228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 at least as big as -175103605?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + 2*n + 17, -3*n + 2*n + 2 = -s. Let l = 7 + -3. Put s, 0, l in increasing order.\nAnswer: s, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.09 + 0.24. What is z rounded to one dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 19 = -4*b - 3*h, 0 = 4*h + 4. Let j(g) = g**3 + 6*g**2 + 12*g + 8. Let r be j(b). Let a = 10 + r. Solve 2*o = c + 2, -2*c + 2*o - a - 4 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-130)\/(-30)*(-3)\/(-1). Let t = -10 + s. Let y = t - -33. Is y a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 + 51*q + 802. Let a be w(58). What is the highest common factor of a and 1056?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -1\/398 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 72, 3517700, 0.4 in decreasing order.\nAnswer: 3517700, 72, 0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*o + 127 = u + 45, 5*o - 28 = -u - 0*u for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45 - 5*k + 2*k + 6*k - 20 - 12 - 10.\nAnswer: 3*k + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c + 2. Suppose -2*w + 10 = -5*k + 2, -5*w = -2*k + 22. Is 3 a factor of b(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -304, -363, -484, -685, -984?\nAnswer: -1399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(2\/5))**(5\/2))**(-17) assuming g is positive.\nAnswer: g**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*w + 10 = 19*w, -14*w = -2*h + 64. Sort 10, -53, 4, h in decreasing order.\nAnswer: 10, 4, h, -53","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/113? (a) 55 (b) -0.038 (c) -5 (d) -14 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 10:48 PM?\nAnswer: 11:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 34 in 0.5, 2, 1, 1\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9151 = -l + 3*h, 104*l - 107*l - 5*h = -27453. What is the remainder when l is divided by 208?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 63 and 10?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -286 divided by -72\nAnswer: 143\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5*(-536)\/(-20)*-1. Let t = -19 + 47. Suppose 4*c = w + 68, -4*w - t + x = 5*c. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (9165\/(-10998))\/((-20)\/(-6)). Let u = -22 + 13. What is the third biggest value in u, s, -0.4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 700 minutes before 12:21 AM?\nAnswer: 12:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 85.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + q + 0*q - 3*q)*(-3*q + 3*q - 2*q).\nAnswer: 4*q**2 - 10*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/4*r**2 - 1\/2*r + 0.\nAnswer: r*(r - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -5*p, -p + 2*r - 6*r = 18. Suppose 40 = p*u - 192. Suppose 4*a = -3*y + 143, 2*a + 4*y - u = -a. Does 12 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -9832.\nAnswer: 1\/4916","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 11165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 737 = 683*t - 3179*t + 165473 for t.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11608 + -9328. Is 95 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 767 + -765. Which is the third biggest value? (a) -41 (b) -2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 999540?\nAnswer: 2, 3, 5, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.15 + 0.15. What is the nearest to -1 in -2, -5, w?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -7.6, 4\/5, 33\/7 in ascending order.\nAnswer: -7.6, 0.4, 4\/5, 33\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 45368 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(112) - sqrt(112))**2 - (sqrt(7) - (-1*((sqrt(7) - (sqrt(252) - sqrt(7))) + sqrt(7)))**2).\nAnswer: -sqrt(7) + 67","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*p - 11*p + 940. Suppose v + p = 4*f, -f + 23 + 34 = -2*v. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2.9, 1, 4, 2\/15, 3.\nAnswer: -2.9, 2\/15, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -0*k - 5*c + 5121, -2*k + 10228 = 3*c. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than 2\/44263?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 403118818 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y - 2*y + 0*y + 2 + 4*y - 2 + (-2 + 2 + y)*(5 - 3 - 4))*(23 - 12 - 3).\nAnswer: -8*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k - 36. Let r be v(-15). Let u(i) = -2*i - 10. Let f be u(r). Solve f*b - 5*p = -15, -6*p + p = -15 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 3*r**2 + 66*r + 107. Let d be z(-23). Is 182 < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*(-13)\/(-1690)*10*-2\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 50 - 494 = 0. Suppose 0 = 3*a - 5*b - r, 4*a - 2*b = -3*b + 171. Does 19 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -170*r = -169*r + 655. Let h = -327 - r. What is the highest common divisor of 8 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7731991 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c**2 + 118610*c + 703416605 = 0 for c.\nAnswer: -11861","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + 50 + -5 + 1. Suppose r*q - 49*q = -5790. What is q rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*t - 93 = -467. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1417*k**2 + 1417*k**2 - 6*k**3 - 2*k - 25*k**3.\nAnswer: -31*k**3 - 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 758060701 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001111 + -101101101000?\nAnswer: -101100011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -8*m**4 + 114*m**3 - 284*m**2 - 960*m + 256 = 0?\nAnswer: -2, 1\/4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-1 + 1\/2). Suppose 4*c = o*p - 68, -4*c = 5 - 1. Suppose 4*y + r = 2 + 6, -4*y = -5*r - p. What is the greatest common divisor of y and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from iiiiiiiii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/64 and -9\/1624?\nAnswer: 12992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/((-7)\/((-21)\/(-18)) + 1). Let m = -1 - 0. What is the nearest to 1 in m, 0.1, j?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-8)\/(-44) - 28\/77 - 167763\/(-11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 11*l = 50, -147*z + 25 = -143*z + l for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4808 is divided by 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 1495 + 50 = 0. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2190 - 2187.34. Which is greater: h or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -95 - -100. Solve -u = -7*i + 2*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -91*m + 256*m + 2266*m - 486*m - 6 to o*m + t and give o.\nAnswer: 1945","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -274\nAnswer: -109.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5641 + 4953 = 534*s + 179*s - 14361 for s.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2146045 (base 8) to base 12\nAnswer: 239799","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 17, 22, 0.08, 4\/5, -0.7?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 87*g + 1. Let z be f(1). Suppose -203 - 749 = -2*b. Let l be b\/21 + 8\/(-12). What is the highest common divisor of l and z?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + -2 + 0 + 1. Let y(n) = 2*n + 22. Let w be y(-13). Put w, 5, q in ascending order.\nAnswer: w, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 4*b + 62, -3*b + 21 = -l + 4*l. Let v(o) = -o**2 + 14*o + 18. What is the lowest common multiple of v(8) and l?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 102 - (118 + -74 + 13)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -2\/5 (b) -1 (c) 0.145\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a decade in years?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 70, 5, -25, 1, 2 in ascending order.\nAnswer: -25, -1, 1, 2, 5, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 5*q. Let w be (-3 - 2) + 3 + 6. Let t(l) = -2 + w*l + 7 + 0*l. Let s(g) = -g - 1. Let r(f) = 10*s(f) + 2*t(f). What is r(d(x))?\nAnswer: -10*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-276)\/(-1012))\/(28\/(-44)))\/(-5)?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**2 + 43*f + 486. What is the remainder when 1597 is divided by s(-21)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 14\/3608*(128 - 132). Which is greater: v or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p - 258 = -69. Differentiate 9*t**3 + 57*t**4 - 20 + 12*t**3 - p*t**3 - 40 wrt t.\nAnswer: 228*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of -o**4\/12 + 10*o**3\/3 - 13*o**2\/2 + 795*o. Give k(10).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 14198.265089 rounded to the nearest 1000?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 112c + -194?\nAnswer: c68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3152 and 13824.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36282?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 3*x + 26 + 7, -2*i + x = -23. Suppose -4*l = 2*b - 78, -4*l + 2*b + i = -70. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 89664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -802*m - 859770 + 820472 for m.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/60, -2, 1\/5, -217?\nAnswer: -1\/60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 320 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 22692599 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 108721, 217454, 326181, 434902, 543617, 652326, 761029?\n\"Answer: -3*k**2 + 108742*k - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -5*v + 20. Let i be g(3). Let l be 30\/5 + 0 + -1. Solve -b - l*c + 9 = -6, -3*b + i*c - 15 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 2*q + 4)*(62 + 62 - 155)*(-q**2 - 3*q**2 + 6*q**2).\nAnswer: 124*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p**3 + 4*p**2 - 8*p + 16. Let x be d(8). Let m = 321 + x. Let j be (-6)\/9*m\/10 + -1. Calculate the highest common factor of j and 288.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26 - 2. 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: Find p, given that p**2 - 815385*p + 12230550 = 0.\nAnswer: 15, 815370","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 470307 by 8251.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 - 6*k. Let f be u(5). Let b(t) = t**2 + 5*t + 7. Let n be b(f). Solve -n*y - 4 = -3*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, b: 1}. Give prob of sequence rr.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/1560 and -151\/12.\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.007 and -803?\nAnswer: 5.621","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2233183446 to the power of 1\/3, to the nearest integer?\nAnswer: 1307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 9 + 1)*(6 - 12 + 4)*(35*i**2 - 20*i**2 - 10*i**2)*(-2*i**2 + i + 4*i - 8*i) as j*i**2 + t*i**3 + s + u*i**4 + a*i and give t.\nAnswer: -240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q\/(q*q*q\/(q*q*q*q\/(q**3\/q)*q))*q*q))\/(q**(-2\/11)*q)*q\/q**1*q**1*((q*q**(-1\/6))\/q)\/((q**(3\/10)*q)\/q)*q*q**(-2\/21)*q**0 assuming q is positive.\nAnswer: q**(-1594\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (384\/1408)\/((-1380)\/110)?\nAnswer: -1\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 7682533450733534\/920788598691920 - 1\/5. Let m = g - -5\/3755102152. Let o = -2\/3503 + m. Calculate the common denominator of 28\/11 and o.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7352 - 7205.54. Round p to the nearest 10.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 91*n - 2. Let j be o(1). Let q = j - 35. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16258 - -16273. Is -2\/1133 < w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -633*-387.83\nAnswer: 245496.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -1, -0.3, -3\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 1374?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1525.965nm?\nAnswer: 0.001525965","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(684)*-2 + -3.\nAnswer: -12*sqrt(19) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -18*j**2 - 9*j + 128*j**2 + 0*j + 27*j + 15*j + (0*j - 2*j + 4*j)*(-2*j + 0*j + 0*j).\nAnswer: 106*j**2 + 33*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -3*d + 35255 + 318926, d - 3*z - 118065 = 0. Let u = d + -69412. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7640339?\nAnswer: 7, 1091477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 6\/5 of a second?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 35336 to the nearest 100.\nAnswer: 35300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -226? (a) -4 (b) -0.5 (c) 3 (d) 192 (e) 2\/31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -15981.58264 - -15982. What is j rounded to two dps?\nAnswer: 0.42","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3942?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is a421b (base 14) in base 11?\nAnswer: 250204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vrvuoyv. Give prob of sequence vuv.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - 92\/(-10)) + (-3)\/15. Suppose -w + 10 = o. Suppose 36 - 149 = -o*u + 4*s, -2*u + 57 = s. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -10.95127 and -0.0004.\nAnswer: -10.95167","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**4 - 27934*d**3\/7 - 13924060*d**2\/7 + 1433128*d + 35856144\/7 = 0. Calculate d.\nAnswer: -998, -9\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 + 9*v**2 - 10*v + 7. Let b be p(-10). Calculate the remainder when 53 is divided by 10\/b*(13 + 1).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((63\/(-7))\/18)\/(1 + -2). What is the nearest to d in 2\/3, 1\/6, 3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52 = 5*p - x, 0 = 144*x - 148*x - 12. Suppose 5*z + y = -63, -4 - 14 = z + 2*y. Which is bigger: z or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3 + 5618588*q**2 + 3945993346560*q - 102599625211200.\nAnswer: 2*(q - 26)*(q + 1404660)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4*-0.072\nAnswer: 0.288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 times -514821\nAnswer: 5148.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30 + 31.54. Let z = p + -0.14. Let f = 1.39996 - z. Round f to 4 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130330.\nAnswer: 2, 5, 13033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/192 and 51\/10002088.\nAnswer: 240050112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 47*t**2. Let m(z) be the third derivative of -z**6\/360 + z**3\/6 + 53*z**2. Let p(q) be the first derivative of m(q). Give p(i(g)).\nAnswer: -2209*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 4, -84, 1 in decreasing order.\nAnswer: 4, 1, -10, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 3:51 PM?\nAnswer: 6:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 835080 and 8115?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -4*a - 6, 0 = -3*a - 2*a + 3*c - 2. Let b be -1 + 0 - (a + 1). List the prime factors of (-15)\/(-2 - -5)*b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320.5 rounded to the nearest 10?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101010 (base 2) to base 10.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 4*k**3 - 21*k + 72. Give a(3).\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -u**2\/2 + 15*u\/2 - 18 = 0.\nAnswer: 3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 8*y + 3 = 7*y, -j - 2*y - 2 = 0. Let o be 300\/12*j\/(-5). Is 61\/3 greater than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 776287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 235462 is divided by 117610?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of -m**3\/3 - 23*m**2 - 22*m + 112. What is the tens digit of d(-28)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 10*v + 338. Let p be f(-33). Let y(o) = o**2 - 7*o + 2. Give y(p).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c**(2\/3))*c)**(13\/6)\/((c*c\/(c**(2\/5)*c))\/(c**(1\/7)\/c)) assuming c is positive.\nAnswer: c**(-463\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5243 - 96956.\nAnswer: -96955.4757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-3 + -2*sqrt(112) + sqrt(14)\/(sqrt(72) - sqrt(72)*2 - sqrt(72)))**2.\nAnswer: 97*sqrt(7)\/2 + 67879\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1620 greater than -11049?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -8156.745 rounded to the nearest 100?\nAnswer: -8200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 80 + 3 - 28 + 61 + 2*m to k*m + j and give j.\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -139 (b) 2 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -32077102 and -32077102 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = 5*s - 20, -3*w + 15 = w + 3*s. Suppose q - 10 = w*q. Let b = q - -11. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 117835791?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 + (3 - -3) - -325. Suppose -x = 16*q + 521. Let d = 96 + q. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -177.2*-0.08.\nAnswer: 14.176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3)\/l*l**(1\/4)*((l*l**1*l*l)\/l)**14)**(2\/69) assuming l is positive.\nAnswer: l**(51\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/180694 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 244 + -169. What is the remainder when o is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1934?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 4*m = 3 - 30, -2*m = 3*a - 21 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11001664 is divided by 815.\nAnswer: 794","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15 + 18\/4 + 2\/4 and 112.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3*(7\/3 - 2). Let x = o + 1. Solve 15 = 2*p + 4*c + 1, -p - 5 = -x*c for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000007696 to six dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o + 1. Let u be v(-1). Let f(g) = -29*g + 2. Let d be f(0). Suppose 3*j - 8*j + 6 = -k, 2*j = d*k - 4. Solve p + u*p + k = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 - s**2 + 2. Calculate r(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 107 = -118. Let w = g + 181. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that c**4\/2 + 23*c**3 + 300*c**2 + 400*c - 8000 = 0.\nAnswer: -20, -10, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 327 minutes after 12:26 AM?\nAnswer: 5:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 119*u + 109*u + 6*u**2 - 354*u - u**2 - 4 + 110*u.\nAnswer: 5*u**2 - 16*u - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (56\/(-24))\/(56\/(-11784)).\nAnswer: 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a week in minutes?\nAnswer: 12096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaambmaaadmadaab. Give prob of picking 1 d, 1 m, and 2 a.\nAnswer: 54\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 110 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8637 is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/2659, 1\/5, -716, -0.5, 3?\nAnswer: -716","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 7*f. Let x be (0 - (3\/(-1) - -9))\/(-2). Let u(h) = x*h**2 + 681*h - 681*h. What is i(u(w))?\nAnswer: 21*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/254 and -29\/1397?\nAnswer: 2794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 9) to base 4\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + w + 9, -2*f - 4*w + 7 - 1 = 0. Suppose f*b + 2 = 2*b. Let x = 0.0023 + -0.1023. Sort b, 5, -6, x in decreasing order.\nAnswer: 5, x, b, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50797276 to the power of 1\/2, to the nearest integer?\nAnswer: 7127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3214511?\nAnswer: 113, 28447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kqate. Give prob of sequence ka.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 7, g: 1, q: 1, n: 3, v: 7}. What is prob of sequence nc?\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*4*sqrt(847)*-2)**2*-4*-6 + 0 + -1.\nAnswer: 20815871","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 + 11.4. Let c = x - -2.6. Let z = 2.1 + -2. What is the smallest value in c, -0.2, z?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of -r**7\/210 + r**4\/24 + r**3\/3 - 4. Let l(j) be the third derivative of w(j). Differentiate l(k) with respect to k.\nAnswer: -12*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6453195 divided by -1\nAnswer: -6453195","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 + 1. Let z(l) = -7*l**2 + 55*l + 4. Let d be z(8). Suppose 0 = 4*x + 6 - 2. Let t(v) = -5*v**2 + 5*v - 3. Let s(q) = d*y(q) + x*t(q). Give s(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -59, -59, -31, 43, 181, 401, 721, 1159?\n\"Answer: 3*q**3 - 4*q**2 - 9*q - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -21*u - 1413. What is the least common multiple of q(-69) and 150?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 112.453 to the nearest ten.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8\/29845 - 189306859\/89535. Is -2114 at least as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iqkkzz. What is prob of sequence kzk?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1430, 1425, 1418, 1409, 1398?\n\"Answer: -w**2 - 2*w + 1433","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 8*y**2 + y. Let q(r) = 9*r**2 + 2*r. Suppose -4*c - 19 = -31. Suppose -28 = n + c*n. Give n*d(t) + 6*q(t).\nAnswer: -2*t**2 + 5*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 624\/(-21) + 10 - -20?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -15 (base 15) to base 3\nAnswer: -202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from clyshys. What is prob of picking 2 y?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, -2\/463, -4, 6, -71 in decreasing order.\nAnswer: 6, 3\/4, -2\/463, -4, -71","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 3 m when four letters picked without replacement from pppppppppppmmpppmpmm.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -485, -1939, -3381, -4805, -6205, -7575?\nAnswer: -8909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20042 = 5*t - j, -4*j + 9*j = t - 4018. Factor -2 - 1960*w**2 + 2 + 4275*w**3 - 3603*w**4 + 220*w + t*w**4.\nAnswer: 5*w*(w + 11)*(9*w - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 + 14*c**2 - c - 17. What is o(-11)?\nAnswer: 357","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 5*w**2 + 169*w. Let j(x) = x**2 + x. Determine 4*j(d) - q(d).\nAnswer: -d**2 - 165*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*h - 5. Let b(x) = -x**3 + 3*x**2 - 2*x. Let d be b(h). Let k = -6 - -37\/6. What is the nearest to d in -1\/3, -1\/2, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 3*g + 4*g = -3905, 15595 = 4*h + g. What is h rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 30\/28)\/((-13)\/78).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1317 + -1322 + (1 - 2) + 33\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -12423 (base 10) to base 12\nAnswer: -7233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 4*a - 2. Suppose -i - 4*w = -6*w + 8, -5*i + w + 5 = 0. Let g(r) = -1 + 1 + 1 - 2*r. What is i*c(z) + 5*g(z)?\nAnswer: -2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + z**2 + z + 2. Let g be 10 + (20\/8)\/(-5)*0. Let t be g*(-1)\/4*-6. Let l be (t - 15)*(-2)\/6. What is o(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5, y: 2}. Give prob of sequence yby.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 3, 2, 11, 0, 1213 in ascending order.\nAnswer: 0, 2, 3, 6, 11, 1213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39 + 37 + (-53)\/(-36) and -125\/24?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2747250 a multiple of 90?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 17\/3? (a) 0 (b) -2\/307 (c) -21 (d) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22021272?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 258*m - 115*m - 2551 = 1053 - 887 for m.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = l - 1. Suppose 0 = -m - 5*d - l - 2, -m = -3*d - 12. Suppose c = -0*c - 4*k + m, 0 = c - 5*k + 3. Which is bigger: c or 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 + 14 + 62*v - 125*v + 0*v**2 + 69*v. What is k(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (0 - -2 - 8) + 42?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of 7*n**4\/12 - 110*n + 41. Let q(d) be the first derivative of l(d). Let p(b) = -6*b. Give p(q(z)).\nAnswer: -42*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3330*q**4 + 5*q**2 + 29*q - 10 wrt q?\nAnswer: -79920*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3989*k = 3975*k + 238. Let g(s) = -3*s + 37. Give g(k).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 2*n**2\/9 - 5390*n\/9 - 5396\/3 = 0.\nAnswer: -3, 2698","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.4 - -1.4. Let g = i - 0. Which is smaller: -2\/5 or g?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 567*j - 560*j + 14 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (99\/132)\/((-7)\/112)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3\/23 - 24*y**2\/23 - 70*y\/23 - 48\/23.\nAnswer: -2*(y + 1)*(y + 3)*(y + 8)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-one halves of a litre in millilitres?\nAnswer: 40500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((557835\/2)\/5)\/231. Let q = -1699\/7 + l. Find the common denominator of q and -133\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -906.4662 to the nearest one thousand.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - -1 - (-1 + -2)) + (62 - 68).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2d (base 16) to base 5.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6928, -5556, -4194, -2848, -1524, -228, 1034?\nAnswer: 2256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 3*a - 19 = 0, -4*b - 3*a = a - 8 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*r - 36*r + 6 = o - 11, 5*r - 237 + 241 = 2*o for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46, 238, 556, 994, 1546, 2206?\nAnswer: 2968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1227450 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2*(6\/(-9))\/((-8)\/12)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 0, 1\/6, 11 in decreasing order.\nAnswer: 11, 0.2, 1\/6, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -790797 - 63*g + 790797.\nAnswer: -63*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:30 AM and 9:22 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11268443 is divided by 160?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1635362 (base 7) to base 3\nAnswer: -102120012122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 + 0)*(-156*z**5 + 99*z**5 + 77*z**5 + 0*z**4 + 0*z**4 - z**5 + (2*z**2 + 4*z - 4*z)*(z**3 + z**3 - 3*z**3)).\nAnswer: -34*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*z**2 + 0*z**2 + 3*z**2)*(44*z + 375 + 386 - 766) as y + w*z**2 + r*z**3 + i*z and give w.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 272*i + 291*i + 0 + 387*i - 1.\nAnswer: 950*i - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + a5a0?\nAnswer: a599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that -12*s**5\/5 + 27*s**4\/5 + 42*s**3\/5 - 36*s**2\/5 - 6*s + 9\/5 = 0.\nAnswer: -1, 1\/4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - -2)*(1 + 0). Let k(s) = -1 + 4*s + 4*s**2 - 6*s**3 + 0*s**g + 0. Is k(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1051881 + -640760. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/310)\/(285\/1140)\nAnswer: -2\/155","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 9*r**3 - 2*r**2 - 7*r - 7. Let b(q) = 2*q**3 - q**2 + q - 7. What is -b(z) + l(z)?\nAnswer: 7*z**3 - z**2 - 8*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (a + 2*a - 5*a)*(4*a + 2 + 2*a - 2*a) + 26*a**2 + 48*a**2 - 22*a**2 as u*a + m + h*a**2 and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2*y**2 - 4)*(-6*y + 913*y**2 - 1 + 918*y**2 - 1832*y**2).\nAnswer: 2*y**4 + 12*y**3 + 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - 9. Let x = j + 9. Put -4, 6\/7, x in ascending order.\nAnswer: -4, 6\/7, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -7 + (12 - 7) + -5\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of -c**6\/60 + 3*c**5\/20 + 21*c**2. What is the third derivative of f(i) wrt i?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -31452, -62904, -94356?\n\"Answer: -31452*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - 0)*(-1)\/(-2). Let d(g) = -2*g - 7. Let y be d(b). Let z(o) = -237*o + 34. Is z(y) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 - k**2 - 3*k + 3. Let u be r(0). Factor -9\/2*c - 3\/2*c**2 - u.\nAnswer: -3*(c + 1)*(c + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 + i**2 + 4*i - 1. Let b be a(-2). Suppose -94 = -b*s - l - 0*l, -2*s - 4*l + 46 = 0. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4a009 (base 11) to base 8\nAnswer: -214313","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2, 4, -1, -15?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 7*h**3 - 33*h**4 - 26*h**3 + 9*h**3 + 32*h**4 - 43*h**2 + 2 + 2*h + 8*h**3 as b*h**2 + i*h**4 + p + r*h**3 + v*h and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from shhhshrshshhhhhhhs. Give prob of picking 2 s and 1 r.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f**2 - 3*f**2 - 6*f**2 - 2*f**2.\nAnswer: -10*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -570 - 5218*d + 186 + 191 + 193 + 10441*d - 5221*d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 3*y. Let a be y\/2 - (-2)\/(-7). Suppose 9*m + 4 = 7*m. Is a > m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 2, -2\/5, 115, -0.03?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 17 = 7*d, -d + 5 = -16*h + 15*h for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -53269 from -2666.5.\nAnswer: 50602.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 344454 and 132.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2672*a + 886*a - 6525*a - 5339*a.\nAnswer: -13650*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (10\/(-3))\/(3\/(-27)*-6). Is -15681*(h + (-28)\/(-6)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/1065 and 49\/60.\nAnswer: 4260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*723\nAnswer: 144.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 87 = -3*t, 0 = -12626*t + 12628*t - s - 72. What is the remainder when 250 is divided by t?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17736 - 17731. What is the second smallest value in b, 2, 13, -0.17?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.2 - 1.8. Suppose -12 = 3*w - w. Let b be (-2)\/w*2\/(-3). Sort 0.1, b, l.\nAnswer: b, 0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14.62 + -0.38. Let q = t + 15.2. Which is the second biggest value? (a) 3 (b) q (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - ((-7 - (-1 + -4)) + 0).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3112?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = -4*y - 6, -5*b - 15 = -4*y - y for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 90*f**3 - 82*f**2. Let h(i) = -89*i**3 + 82*i**2. Let z(p) = 3*h(p) + 2*u(p). What is the third derivative of z(m) wrt m?\nAnswer: -522","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 19 = -4*x - g, 2*g - 22 = 4*x. Let o be (-1)\/(x\/21)*5. Let -1 - 6*c + o*c**2 - 6*c**2 + 1 = 0. What is c?\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 4*w - 23, -5*w = 2*t + t - 25. Suppose 2*f + 3 = -v, 2*v + 3*f = 3 - t. Let p = 7 - 5. Sort p, v, -2\/25 in decreasing order.\nAnswer: v, p, -2\/25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -45, -1 in descending order.\nAnswer: 1, 0, -1, -45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9599336.\nAnswer: 2, 31, 38707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 37\/5 of a litre?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - (15\/5)\/(-3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1ba (base 13) in base 4?\nAnswer: 11002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (8 - (2 - -24)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 3 - c**3 - 2 + 6*c**2 - 5*c + 1. Let s be g(5). What is the units digit of s\/(-3)*12\/(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12\/(-8))\/((-9)\/24). Let f(g) = -g**3 + 4*g**2 + 5*g. Let n be f(d). Calculate the greatest common factor of 8 and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 plus -1839?\nAnswer: -1838.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1016 by -508.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 11, 272, 6, -3 in ascending order.\nAnswer: -4, -3, 6, 11, 272","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 669*f - 80 - 2*f**2 - 1347*f + 677*f in the form b + x*f + k*f**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + g + 4*g - 650 = 0, -3*a + 2*g + 390 = 0. Let p be 18*(26\/6 + 0). Let b = a - p. List the prime factors of b.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/45*7\/((-112)\/(-12)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 53472 - -21835. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + s + 3*s + 12, -4*t + s = -15. Suppose t*m - 120 = -36. Let n = -15 + m. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 - 83 = -5*u for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 5.02. What is the third smallest value in -3\/5, u, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13080 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + 2 + sqrt(252) - sqrt(252)) + 5)**2*-5.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(360\/70)*-3\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 40f (base 16) to base 14\nAnswer: 543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 250963, 250554, 250145, 249736, 249327, 248918?\nAnswer: 248509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -305122 (base 6) to base 9\nAnswer: -36485","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the third derivative of -2*n**7\/105 - 7*n**4\/24 - 4*n**2. Find the second derivative of f(i) wrt i.\nAnswer: -48*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.06 - -1. Let n = 39341 + -39341.5. Which is the biggest value? (a) 0.3 (b) i (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 6 - 6 = 7, 42*j - 62 = 24*c + 89*j - 49*j for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2169 (base 13) to base 4\nAnswer: 1020222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7696 + 4745 = -164*d - 4376 - 2207 for d.\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 4*k - 16, 3*y - 5*k - 6 - 1 = 0. Suppose y*d = -875 + 2743. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 0)*(2*w - 3*w + 6*w).\nAnswer: -20*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 137236725?\nAnswer: 3, 5, 359, 1699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 - 9*f**2 + 23*f + 14. Calculate the smallest common multiple of 20 and s(6).\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -56520916, -56520923, -56520928, -56520931, -56520932, -56520931?\n\"Answer: f**2 - 10*f - 56520907","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(5\/4)\/q*q*((q*q\/(q\/q**5))\/q)\/q*q*q)**(2\/167)\/(((q\/q**(-1))\/(q*(q**(1\/9)*q)\/q))\/(q\/q**1*q**(-5))) assuming q is positive.\nAnswer: q**(-17441\/3006)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 342 is divided by 301?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + -8. Let b(n) be the first derivative of n**3 + 5*n**2\/2 + n - 59. What is the units digit of b(m)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n. Suppose d - 2*z - 10 = 0, -3*d - d = 2*z. Let r(g) = 2*g**2 + 4*g**2 - 3*g**d - 2*g**2. Calculate r(y(h)).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -3*r - 2*r + 35, 3*r = -t + 5. Solve 5*l - l = -t for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/1449 and -47\/3472287.\nAnswer: 10416861","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((5*l + 0*l - 3*l)*(2 - l - 2) + l**2 - 10*l**2 - 2*l**2)*(0 + 0 + 2*l) to the form q*l**3 + i + n*l**2 + f*l and give q.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-17)*u*u)\/u)\/u*u*(u*u**(-2\/3)\/u)\/u assuming u is positive.\nAnswer: u**(-53\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -26 in 25, 0, -5\/6?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 99409891 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 10\/9, -21, 3?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = o + 18*l + 17, 4*o + 6314 = l + 6465 for o.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/4)\/(1\/8). Suppose 631*c + 20 = 621*c. Put 4, c, t in ascending order.\nAnswer: c, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**2 - c + c)*((2 + 1 - 2)*(-2 + 0 + 5) - 1 + 1 - 2)*(-3*c - 2*c + 4*c).\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 3*h - 74 = 0, -12*u + 12 = -20*h + 22*h for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 5*s - 15 = 0, 10*s + 15 = -2*b + 15*s for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33 + -30. Solve -4*z + 7 - h = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 7 = 5*j, 4*i + 5*j - 31 + 9 = 0. What is the remainder when 151 is divided by 6 - -5 - (7 - i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -15 (b) -1\/4 (c) -4\/7 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -210 (base 3) in base 6?\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0007944 rounded to four decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4078*x - 4162*x - 336 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1317 is divided by 441?\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - m = -316, 2*m - m = -5*l - 524. Sort -1, l, 6 in descending order.\nAnswer: 6, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 5*l + 33 = 0, -8*v + 2*l = -5*v - 150. Suppose -2*h + 24 = -v. Is h a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 98*k**2 - 1002*k + 202. Calculate l(10).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 + 4*k**2 - k - 3. Let r be m(2). Suppose v - 96 = -r*v. Solve -16 = -2*f - v for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*u - 8*u + 5*o + 14 = 0, 3*u + 4*o + 10 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**6\/(i*i**(-1\/5))*i**(-4\/11)*i*(i**10*i*i)\/i assuming i is positive.\nAnswer: i**(926\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -6*v**2 - 21*v + 3. Let w(q) = -2*q**2 + 1. Determine r(u) - 4*w(u).\nAnswer: 2*u**2 - 21*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 628210*m**2 - 628212*m**2 - 30*m + 268 + 263 - 531 + 30*m.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {n: 1, k: 2, a: 2, t: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -20 - -21.1. Let p = -0.1 + z. Let y = 1.1 - p. What is the biggest value in 3\/5, 2\/9, y?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0\/(-14) - (1 + 0 + -720) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-2))\/(5*4\/(-65)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15120 - 15120. Let x = 0.7 - 0.6. What is the nearest to x in 1, 1\/6, t?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6, -36, -80, -144, -234, -356, -516?\n\"Answer: -u**3 - u**2 - 20*u + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -58*m + 43*m + 0 + 0 to the form x*m + l and give x.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/240 + (-58)\/(-208).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-80)*-4*(-18)\/9?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 - ((-27 - -23) + -1 + 5)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 7*p**2 - 3*p + 2. Let j be k(2). Suppose 0 = 2*w + w - j. Suppose -11 - 61 = -9*y. What is the greatest common divisor of w and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 28*h**3 - 2 + 5 - 2 + 2*h**2 - 3*h**2 + h. Let t be u(-1). Let b = t - -56. Calculate the remainder when 106 is divided by b.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 622*b**3 + 93*b wrt b.\nAnswer: 3732*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3 + 15*v**2 - 31*v**4 + 9*v + 28*v**4 + 4*v**3.\nAnswer: -3*v*(v - 3)*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, l: 18}. What is prob of sequence lvll?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -3*w + 13 - 11 + 10. Let r be g(3). Solve -5*a**4 + 8*a + 22*a**5 - 2*a**2 - 23*a**5 + 4 - 7*a**3 + r*a**2 = 0 for a.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -12, -41, -84, -147, -236, -357, -516, -719?\n\"Answer: -m**3 - m**2 - 19*m + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.099195 + 0.096. What is q rounded to 4 decimal places?\nAnswer: -0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 0*z**2 + 0*z**2 - z**2 + 2 + 3*z. Let c be i(4). Does 14 divide c\/5 - 284\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (20\/70)\/(62\/(-434))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 0.1173402?\nAnswer: -0.8826598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4307 - -6661. Let m = -2375.06 + t. Let g = m - -21. What is the smallest value in -1, 3, g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.5 and -118563?\nAnswer: 118562.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minus -22.7?\nAnswer: 253.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 4*o - 25 = 0, -2*d + 4*o = o - 30. Suppose a = -2*g + 4*a + 67, a = -4*g + 99. Calculate the remainder when g is divided by d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 46986662 - -0.03.\nAnswer: 46986662.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -94 - -79. Let z be 4\/((-24)\/u) - 11\/(-22). Suppose -z*b = -3*h - 2*b + 13, h - 4*b = 8. Solve -2*i = -h*y, -2*y + 2*i + 6 = 2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w = 8*m - 39 + 120 + 31, -4*m - 4*w = -100 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.000005560802 to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + t + 20 = 0. Let h = -447 - -450. Suppose -d + 1 = q, -h*d = -t*d + 6. What is the biggest value in q, 2, -0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -142? (a) 1\/10 (b) 5 (c) 1.7 (d) -16 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -61479*-0.01\nAnswer: 614.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1029\/49 + ((-3582)\/225 - 5)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.43 + -15.83. Let t = 2.6 - v. Let q = t - 17.1. Which is the closest to q? (a) 2 (b) -5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*r - 21*r - 13 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 34716 and 1716?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 + 2*k + 18. Let z be v(0). Solve 20*f - z*f = 6 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 217.78 rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**4 + 65*y**3 + 60*y**2.\nAnswer: 5*y**2*(y + 1)*(y + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4856, 9754, 14652, 19550?\n\"Answer: 4898*x - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of 2*p**5 - p**3 + 5. What is the third derivative of f(i) wrt i?\nAnswer: 240*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -21699\/4 (b) 1\/9 (c) 13 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (-9 - 1)) + -4 + -13 + 1?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136632435?\nAnswer: 3, 5, 227, 40127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 283222 is divided by 3174.\nAnswer: 736","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 71*n**3 + 30*n**2 + 8024*n?\nAnswer: 426*n + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + v = -190. List the prime factors of v.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6233659 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 20663 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oprpooropoprppprpppo. Give prob of picking 1 o and 1 p.\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -23 divided by -436\nAnswer: 23\/436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**1)**(-24))**(-6)\/((u**(-2\/3)\/u*u*u)**(-44)\/(u\/u**(-2\/11)*u*u**0)) assuming u is positive.\nAnswer: u**(5308\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are 11378535 and 11378537 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8072\/11 + 734. What is the second biggest value in -25, 0.5, -4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 40 = -2*i + 197, -4*b = -4*i + 484. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 3)*(-m**3 + m**3 - m**3) + (0 + 0 + 2*m)*(-m**2 + m**2 + 3*m**2).\nAnswer: 9*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - d - 152*t = -148*t, t - 8*t = d - 18 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-24)*-4*(1 - -2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(6\/13)*m**(-4))**(1\/13) assuming m is positive.\nAnswer: m**(-33\/169)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -19 + (8 - -9) + -12\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1849, 1341, 817, 277, -279, -851, -1439?\n\"Answer: -8*m**2 - 484*m + 2341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 AM and 7:12 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -4*h - 8*f, 4*h + 11*f + 0*f - 5*f - 8 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q - 6. Let p be (-6)\/4*(-28184)\/156. Let g = p - 269. Determine s(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6345 and 6011112.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21178519 and 4189?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 3*h**2 - 5*h - 6. Let c be o(-1). Let s(j) = -68*j**2 - 4 + 75*j**c - j**3 - 3 + j. Determine s(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of 9*t**5\/5 - 8*t + 10. Differentiate f(v) with respect to v.\nAnswer: 36*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (3 - 7) - 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 680 + 305. Let v = 1567 - a. What is the highest common divisor of v and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nhuiy. Give prob of sequence nihu.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = j - 4*l, 0 = j + j + l + 2. Let n(y) = 5 - 4*y - 3 - 3. Give n(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 19 - 17. What is the third derivative of 39*i**5 + 39*i**2 - 9*i**5 - l*i**2 wrt i?\nAnswer: 1800*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 344 a factor of 1000983584?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**2 + 5*t + 8. Suppose 0 = 5*u - 3*u + 5*p - 17, -4*p - 14 = -3*u. Let o be b(u). Solve 0 = 5*f - 6*l + 2*l + 1, -o*f = -l + 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -k - 2*k. Suppose -72 = k*h - 604. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-2 - -11 - 12 - -2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -21, -11, -12 in ascending order.\nAnswer: -21, -12, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -406*k = -410*k - 500. Let g = 295 - k. What are the prime factors of g?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 751346 = -3*r - 101*c + 105*c, -r - 250445 = -5*c. Round r to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/13, -0.2, -0.5, 38.2, -2 in decreasing order.\nAnswer: 38.2, 4\/13, -0.2, -0.5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of -o**6\/24 - 7*o**4\/24 + o**3\/6 + 26*o**2. Let n(m) = -4*m**3 - 6*m + 1. Calculate 5*a(j) - 6*n(j).\nAnswer: -j**3 + j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.347 minus -21412776.63?\nAnswer: 21412776.977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*p - 2 + 2 - 3*p + 4*p + 0*p - 2*p + 0*p + p + (-1 + 4 - 1)*(2*p - 1 + 1) - 2*p - 2*p - p)*(-10*p + 6*p + 3*p).\nAnswer: 4*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8579971 to the power of 1\/3, to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2b683a666 + 3?\nAnswer: -2b683a663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -2*g + 6. Let z be (1 + 9\/g)*-6. Solve z*k - k + 18 = 4*j, 5*k + 4*j - 25 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -938*b - 19675. Give j(-21).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (111\/(-148))\/(6\/(-16)). Solve t*k + 2*z = -z + 7, -4*z - 4 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/2*(-8)\/(-33). Let x be ((-30)\/(-75))\/(14\/35). Is t smaller than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34560 is divided by 392.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -317 + 321. Solve -17*j - 13 = -x*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164061405 is divided by 56.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 311 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/8)\/((-3)\/(-6))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 15 + (3*(-2 - -3) - 6). What is the tens digit of ((-666)\/v)\/((-3)\/4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvtvvtvv. What is prob of picking 2 v?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*3\/(-6*4). What is the nearest to -0.1 in 0.1, 3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -47784, -47775, -47768, -47763, -47760?\nAnswer: -47759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (4*(6*(sqrt(396) - (0 + sqrt(396))) + (-4 + (0 + sqrt(396) - sqrt(396)) - sqrt(396)) + (sqrt(11)*-2*-3 - sqrt(539)*1)))**2.\nAnswer: 896*sqrt(11) + 8875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence js when two letters picked without replacement from jjlttttjqtslqlaqj?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 157\/510042 and -76\/4527.\nAnswer: 1530126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 122463886.\nAnswer: -2\/61231943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (18 + -33 - (2 + -50))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2581*c**2 - 50*c**3 - 2581*c**2.\nAnswer: -50*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of 15*f**4\/4 - 2*f - 7. Differentiate t(o) with respect to o.\nAnswer: 45*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(121))\/sqrt(11) - (sqrt(11) - (1*sqrt(11) + 0 - sqrt(11))**2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -40588 divided by 2.\nAnswer: -20294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z - 3. Let b be (-1295)\/296 - 6\/(-16). Let c(d) = d**2 + 3*d - 4. Calculate b*c(s) + 5*w(s).\nAnswer: -4*s**2 - 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.7 + 0.0474?\nAnswer: -7.6526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 2*q = 0, 4*q + 73 = 2*p + 89. Put p, 2\/5, 339, 0.3 in ascending order.\nAnswer: 0.3, 2\/5, p, 339","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -26862*u*v**3 - 17*u*v*x**4 + 348*v**3*x**2 + 5*v**3 wrt x.\nAnswer: -68*u*v*x**3 + 696*v**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 - 6*r**2 - r + 1. Suppose 6 = 2*c - c. Calculate b(c).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*f**3\/2 - 551*f**2 + 509*f\/2 + 73.\nAnswer: (f - 73)*(3*f - 2)*(5*f + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -3*u**3 - 2*u**2 + u + 3. Let v be i(-3). Suppose 0 = 2*z + z - v. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 0 + 14 = 0 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 AM and 8:08 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the third derivative of y**5\/60 - 3*y**4\/8 + 7*y**3\/6 - 322*y**2. Suppose f - 4 - 3 = 0. Calculate v(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 294101 divided by -99?\nAnswer: -294101\/99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5860 - -5860.3. What is the closest to 0 in -2, 87\/5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23922151?\nAnswer: 11, 2174741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 1085*y + 1086*y + 5 - 2173*y. Suppose 6 = -3*a - 0*a. What is the units digit of u(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 46.208721 and 8?\nAnswer: 369.669768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 8 = i. Does 18 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 52 - 45. What is the nearest to 0.1 in -3\/5, o, -2?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 34094 to the nearest one hundred.\nAnswer: 34100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 + -6. Let d(g) = 2 + c + 1 + 2*g. What are the prime factors of d(5)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1630356?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 12599 and 0.6 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 182454529 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eezvvdvevev. Give prob of picking 1 d and 2 v.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 197400 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -229 + 238 = 3*o. Calculate the lowest common multiple of o and -27*((-4)\/2 + 1).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7627468 + 0.1.\nAnswer: 7627468.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 - 3*z - 4. Let g be i(5). Let m = g + 7. Is m a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6*6\/12*((-5)\/1)\/(-1)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 53\/3 + -55\/3. Suppose -12 = z - 3*b - 4, -5*b + 14 = -2*z. Is z smaller than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.625 to 1 decimal place.\nAnswer: 4.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -1 - 2 + 23*l + 4. Suppose 5*j + 5*f - 322 = 63, 0 = -4*j + 3*f + 287. Let i = j + -73. Determine g(i).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -20*a - 120. Let k be o(-6). Let z = -5 + 4.95. Let c(s) = -s - 5. Let r be c(-4). What is the closest to r in 0.4, k, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((1161\/198)\/(-43))\/(3\/20)\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n**3 + 1. Let t(l) = 1563*l**3 - 2084. Calculate -t(a) - 2084*z(a).\nAnswer: 521*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 12:55 PM?\nAnswer: 12:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -4*t + 5. Suppose 2*x = 12 - 0. Let r(f) = -2 - x*f + 3 + 7. Calculate -8*o(w) + 5*r(w).\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -3*k**3 - 401316*k**2 - 10031097*k - 9629784 = 0.\nAnswer: -133747, -24, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 11 and 1859?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 130928066, 130928064, 130928050, 130928018, 130927962, 130927876, 130927754, 130927590?\n\"Answer: -i**3 + 5*i + 130928062","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 2:12 AM?\nAnswer: 7:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 24671504 divided by -2288?\nAnswer: -10783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*x + 2 - 2)*(3*x - 5*x - 7 + 6) + x**2 - 18*x**2 - 18*x**2 + (4*x - 5*x - 3*x)*(2*x - x + 0*x) as p*x**2 + k + m*x and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 10*h = q + 174, 19*q + h = 14*q + 37 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -5 (b) -4 (c) -2\/9 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -8\/33 and 59\/164010?\nAnswer: 164010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b - 1. Let y(s) = -s**3 - 7*s**2 + 7*s - 2. Let c be y(-8). Let t be a(c). Solve -z + 2*z = t*q + 23, -2*q = 3*z + 16 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1074b - -5?\nAnswer: 10750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 19\/(-3 - (-2 - 2)) - 4. Let n be (-3 - -8)*(48\/q - 4). Let a(t) = t**2 + 7*t + 6. What is a(n)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -36*m - 1507. Calculate d(-42).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 445\nAnswer: 3\/445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -23349*x**2 + 2*x + 1235 wrt x.\nAnswer: -46698","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3721 + -3*(-8)\/(-36)*3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2221211221210 (base 3) to base 16\nAnswer: 17fb6b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 801?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 5 = -4. Let m = -0.8 - -1. Let i be (-49)\/21*4\/(-42). Which is the third smallest value? (a) m (b) s (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, 0.9.\nAnswer: -4, 0.9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5d - -7742?\nAnswer: 779f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 13*a**2 - 3. Let m(r) = 272*r**2 - 64. Let f(z) = -3*m(z) + 64*s(z). Let o(t) = 49*t**2. Determine o(f(p)).\nAnswer: 12544*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 40640422*a - 3563008?\nAnswer: 40640422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52986?\nAnswer: 2, 3, 8831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.3 + 0.2. Let a = -3.05136 - -0.05136. What is the biggest value in 2\/7, a, -0.9, l?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -4*b + 48, -155*z + 151*z - 12 = -2*b. Solve -b*h = 6*h - 32 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 1\/7, 60, -0.3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1659 + 1659. Suppose -5*h = -15 + 5. Suppose g*u - 14 = -u - 5*p, -h*p = -2. Are u and 5 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -32\/616861 and -47\/704984?\nAnswer: 4934888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -22 * 3468646\nAnswer: -76310212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 257*u**3 - 213*u**2 wrt u.\nAnswer: 1542","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 34 - -12583a?\nAnswer: 125872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*g - 43*g + 16*g to h + d*g and give d.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 1709368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a microgram in nanograms?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 704, 1360, 2016?\nAnswer: 2672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -185, -27, -4, 2, 5 in descending order.\nAnswer: 5, 2, -4, -27, -185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2601, -10253, -22999, -40839?\nAnswer: -63773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1965671 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -4*h + 52. Suppose -14*t - 364 = -42*t. Let u be m(t). Put 5, u, 2, 12 in descending order.\nAnswer: 12, 5, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 331166 is divided by 1162?\nAnswer: 1158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1200\/77251 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*p + 0 - 1\/2*p**2 = 0 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 7*z - 243. Let j be q(35). Find v such that v + 5\/6*v**j + 1\/6 - 2*v**3 = 0.\nAnswer: -1\/3, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/((d\/(d\/(d\/((d*d\/(d\/(d\/(d\/d**37))))\/d))))\/d))\/(d*(d*d**(-3\/17))\/d*d))**(-2\/71) assuming d is positive.\nAnswer: d**(-1230\/1207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9050257?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f**2 - 34*f - 33. Suppose -h + 4 = 0, -10*n + 6*n + 196 = 3*h. Calculate the remainder when k(-28) is divided by n.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -4*a - 120, 3*i - 160 = -3*a - a. Let h be 1 + -1 + 0\/(8 + 3). Suppose c + 7 - i = h. Is c a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**3 + 15*d**2 + 116*d + 203. Let i be x(21). Let v(o) = -3*o + 17. Give v(i).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 34258633?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/((-63)\/(-6)))\/((-50)\/35).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 615 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5125.85 and 3.\nAnswer: -15377.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 130*(-3)\/(-7 + 4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 0 + (-5 - -10) + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40421, 80844, 121269, 161696, 202125, 242556?\nAnswer: 282989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*s + 6*s + 55*s = 139*s - 800 for s.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 11777?\nAnswer: -1\/11777","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is dd + -1a?\nAnswer: c3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 387277 and 2261?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, x: 6, a: 3, k: 2, s: 1}. What is prob of picking 1 s and 1 a?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**5 + 23884*z**4 - 1402536*z**3 + 4064324*z**2 - 4016566*z + 1330896 = 0. What is z?\nAnswer: 1, 56, 11883","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) be the second derivative of 2*j**4\/3 + j**3\/2 - 2*j. Let z be d(3). Suppose -4*b + 3*b = -z. Calculate the highest common divisor of b and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39*392\/(-9828)*3\/2.\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 3 - 6 = 0. Let a(n) = -2*n**2 - g*n**2 + 3*n**2. Let k(d) be the first derivative of -d**3\/3 - 1. Calculate a(k(t)).\nAnswer: -2*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -593*f - 24*f**3 + 163*f**3 + 278*f + 314*f.\nAnswer: 139*f**3 - f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aapbbhdpadadape. What is prob of picking 1 d and 1 e?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -0*t - t - 2, 4*x = 3*t + 6. Suppose x = 4*a - 5*a + 5. What is the second derivative of -j**5 - 16*j + j**5 - j**a + 6*j wrt j?\nAnswer: -20*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2732409301?\nAnswer: 40927, 66763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 98625 plus -3990.9?\nAnswer: 94634.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 + 2*u**2. Let s be 14\/(-6) - (-2)\/6. Let v be j(s). Factor -1\/4*m**3 + 0 + v*m**2 + 1\/4*m.\nAnswer: -m*(m - 1)*(m + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -1. Let y be 208*((-15)\/4)\/p. Let w be (-78)\/5*15\/(-6). Calculate the highest common factor of y and w.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 258 divide 83674302?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of 2*k**3\/3 + 11*k. Let f(a) = -58*a. Let w = 156 + -160. What is w*f(i) - 56*h(i)?\nAnswer: 8*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1101111010010111 (base 2) to base 5.\nAnswer: -3310413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-24*g - 5*g**2 + 24*g)*(-657*g**2 + 1 - 256*g**2 - 655*g**2) as j*g**4 + b*g**2 + q*g + z + r*g**3 and give j.\nAnswer: 7840","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 242 a factor of 965762710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/(-66))\/((-4)\/16). Let y = -16\/5 + 218\/65. Let d be (-1)\/(-4) + 5\/(-20). Which is the second biggest value? (a) y (b) d (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 412469603?\nAnswer: 7, 13, 23, 47, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 PM and 7:28 AM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-2\/3)*c)**(-5))**(1\/32))**(-2\/89) assuming c is positive.\nAnswer: c**(5\/4272)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*o - 17 = -c - 11*o, -2*o - 6 = 2*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 288, 1223, 2804, 5031, 7904?\nAnswer: 11423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -45b (base 15) to base 7\nAnswer: -2606","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 3*y - 2. Suppose -q - 78 = 3*m - 91, 2*q = 5*m - 7. Calculate the remainder when k(3) is divided by q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -a + 308 + 312, 0 = a - 4. Suppose 4*h + 2*b - s = 0, -3*b + 0*b + 383 = 5*h. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 46 + (1 - -1 - 1). Let v(o) = 5*o**3 + o**2 - 1. Let z be v(1). Suppose 3*g + z*k = 21, -4*g + 13 = -4*k - n. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 234933191 is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9749, -19706, -29665, -39626, -49589, -59554?\nAnswer: -69521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 50 and 6165.\nAnswer: 61650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j + 3 = 3*f - 5*j, j + 5 = 5*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.075 - -0.025. Let b = -1 + q. Let i = b + 3.3. What is i rounded to zero decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (32 - 3) + 12\/(-3). Suppose -3*r - 2*r + g = 0. What is the remainder when (1 - 0) + (0 - -13) is divided by r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3858\/61 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2\/5 + 192894*t - 964473\/5.\nAnswer: 3*(t - 1)*(t + 321491)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {m: 1, f: 1, x: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3653084639 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -455\/246 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 65*o**2 + 10*o - 7. Is z(10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 173*y**3 + 736*y wrt y.\nAnswer: 1038*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of -19\/5*l**6 - 1 - 1\/12*l**4 - 7\/3*l**3 + 0*l**2 + 0*l**5 + 14*l. Find the third derivative of j(h) wrt h.\nAnswer: -2736*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26 + -26.4. Which is the smallest value? (a) 1\/8 (b) -1 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 14*w - 29. What is u(4)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 2976 and 2938 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 53275230 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -11925000 rounded to the nearest 100000?\nAnswer: -11900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 5*m**2 - 14*m - 63. Let z(o) = 2*o**2 + o + 1. Let j(u) = x(u) - 3*z(u). Let w be j(-9). Which is the closest to w? (a) 1\/5 (b) 0.3 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - 5. Let w be (4\/(-2))\/(h\/10). Let z(d) = -d**3 + 5*d**2 - 3*d. Let t be z(w). What is the highest common divisor of 44 and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1369, 2363, 3357, 4351, 5345?\nAnswer: 6339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 129.1 + -128.9802. Let z = c - 0.0198. What is the biggest value in z, 0.3, -7\/8, 0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.94 + -0.06. Let j = g + 6. Which is the smallest value? (a) j (b) 1 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qsls when four letters picked without replacement from lssrrqrrrrrlrrrrrrl?\nAnswer: 1\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 6, 0, 1\/4, 1\/14, 102?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 5*n. Let t(s) = -101*s**2. What is t(m(b))?\nAnswer: -2525*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38436 and 18060.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1122 - -1124. Solve -r + 5 - 1 = -b, -3*r = -v*b - 10 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i + 5, 3*l - i + 5*i = 8. Let g(h) = 5 + 7*h - l*h - 2*h. Let n(y) = -y**2 + 7*y - 9. Let m be n(6). Determine g(m).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 946*l - 983. Is 13 a factor of c(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 137*c**4 + 3 - 141*c**2 - 150*c**2 + 293*c**2 in the form f*c**3 + v + o*c**4 + l*c**2 + p*c and give o.\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t + 5. Let x be 8\/(-3*10\/15). What is k(x)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -234169*m**5 - 44659*m**2 - m - 1 wrt m.\nAnswer: -14050140*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -4, -c - c + 2*p = -10. Let v be (-1)\/(1 + (-46)\/47). Let g = v - -92. Calculate the greatest common factor of g and c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4382 is divided by 102?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 + t - 7. Suppose 0 = 6*o - 10*o. What is z(o)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of 0*l**3 + 0 + 0*l**4 + 2*l**2 + 1\/330*l**5 + 0*l. Find z such that k(z) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -167 - 953 = -10*o. Suppose -o*m + 137*m = -50. Which is greater: m or 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b**11))\/b)\/(b\/b**(2\/13))*b**(1\/3)*b**(5\/2) assuming b is positive.\nAnswer: b**(-781\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 + 29 = 3*t. Let u be (2 + 0 + -2)\/2. Suppose u = 3*k + 2*c - 14, -4*k + 3*c = 4*c - 12. Solve -3*x - a - 6 = 0, t*x - 1 - 2 = k*a for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 w when two letters picked without replacement from {w: 7, y: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 1, 9, -4 in decreasing order.\nAnswer: 9, 1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 7\/4 of a milligram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-2*((sqrt(5) + 1 + 1)**2 - sqrt(15)\/sqrt(3)*1) + 4*(1 + (2 + sqrt(720) + -1 - sqrt(720))).\nAnswer: 36*sqrt(5) + 116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 1131*c**3 + 21*c**2 + 21*c + 798. Let m(j) = -5*j**3 - j**2 - j + 1. Let d(w) = k(w) + 21*m(w). Differentiate d(y) wrt y.\nAnswer: 3078*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/3)*h)**(-2\/5) assuming h is positive.\nAnswer: h**(-2\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*v**3 - 2*v**3 + 5*v**3 - 64*v**3 + 42*v**3.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -153 divided by -6.\nAnswer: 51\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -24, -89, -154, -219?\n\"Answer: -65*z + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 3448, -0.2, -0.1, 5\/6, 3, 2, 0?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5\/4*c**2 - 205*c + 8405.\nAnswer: 5*(c - 82)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 286 and 40475116.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nht when three letters picked without replacement from {h: 3, e: 3, n: 2, m: 1, t: 6}.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**3 - 22*k. Let x(o) = -2*o**3 - 66*o. Determine 7*h(u) - 2*x(u).\nAnswer: -3*u**3 - 22*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l + y = 11*l - 20, 3*y = -5*l + 25. Suppose a = -5*q + 3146, -l*q = -3*a - 1920 - 1242. Is 30 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/4 + 0\/(-2). Suppose m = 3*v + 2 + 4, -6 = -a - 4*v. Calculate the highest common divisor of a and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, o: 1, z: 2, n: 1, s: 1, x: 1}. What is prob of sequence oz?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 109, 114, 133, 172, 237, 334, 469, 648?\nAnswer: 877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.2 * 50.\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-390)\/(-351)*(-12)\/20*97\/8148?\nAnswer: -1\/126","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -530 + -2cc?\nAnswer: -7fc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/17 in 11, 0.1, 0.4, 111, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-3\/17)*n)\/((n*n**(-7))\/n)*(n*n**0)**(-15) assuming n is positive.\nAnswer: n**(-122\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)*-3 - (sqrt(168)\/sqrt(7))\/sqrt(12))**2*2 + 5.\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9468?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p + 2*k = -16*p + 2, -10 = 5*p + 5*k. Suppose -4*t + 5*t = -p*x + 15, 3*t = -4*x + 25. Solve -8*q = -t*q + 20 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -10. Suppose j*y = 4*y - 2. Calculate the least common multiple of 5 and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 6*i = q + 4, -4*i + 3*i + 6*i + 5 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 - 27*v**2 + 59*v + 30. Determine b(-29).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**12*r)\/r)**(2\/47) assuming r is positive.\nAnswer: r**(24\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 3*y**2 - 33*y - 100. What is the lowest common multiple of 680 and n(-9)?\nAnswer: 7480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 42\/5 of a litre?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 34628\/3 + -3912989\/339. What is the common denominator of -83\/6 and y?\nAnswer: 678","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2369 - 2355. Solve -30*d - 64 = -f*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, p: 1, m: 4, e: 12}. Give prob of sequence mpb.\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 PM and 9:36 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*l**4 + 2*l**4 - 3*l**2 - 2 + 0*l**3 + 2*l**2 + 3*l**3 to f*l**4 + t*l + y + m*l**3 + z*l**2 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 4.947892 centimeters?\nAnswer: 0.00004947892","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 18723800 to the nearest one million.\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = -0*t - 9 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (71 - 0)*10\/(20\/194) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 + 33. Let s be z(0). Let d be (-2)\/(6\/s + 0). Let u = d + 23. Is u a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12366337002*c - c**2 - 12366337002*c.\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 67*d - 57. Let y(j) = 84*j - 56. Let k(t) = -5*g(t) + 4*y(t). Calculate k(0).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (10\/(-20))\/((-2)\/(-4)). Let p be ((-4)\/10)\/(((-1)\/(-80))\/t). Find the third derivative of -7*x + p*x - 7*x**6 + 11*x**2 - 7*x**2 - 6*x**2 wrt x.\nAnswer: -840*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.3 + -0.2. Let o = 30662 + -30661.7. Which is the third biggest value? (a) o (b) 6 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 1457877250 to the power of 1\/2, to the nearest integer?\nAnswer: 38182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bpr when three letters picked without replacement from {s: 3, d: 1, k: 4, p: 1, r: 2, b: 4}.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 55707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4200 or 4153?\nAnswer: 4200","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3 + (-2)\/(72\/100) and 109\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1295, -2, -14, -4, -5 in increasing order.\nAnswer: -1295, -14, -5, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 25\/14, 2\/9, -1\/3, -2\/205?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 6:32 PM?\nAnswer: 7:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 45 - 9. Does 12 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -176650 + 248269. What are the prime factors of h?\nAnswer: 3, 23873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -133*v**3 + 2*v**2 + v - 1. Let t be 4 + ((-12)\/(-3))\/4. Let a be (3 - -1)\/2*t\/(-10). What is the hundreds digit of y(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 6*c + 5. Let x be k(-2). Let v be 0\/(0 + -1) - -10. Let r = v + x. Solve -3*p + 23 = 4*s, -2*s - r*s = -2*p for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -358 (b) -1 (c) 4 (d) 2\/15 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 18636?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -177*a**4 - 11*a**3 - 12*a**2 + 347*a**4 - 169*a**4.\nAnswer: a**2*(a - 12)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (52\/(-156))\/((-6)\/270).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 smaller than -157476?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of u**4\/24 + u**3\/6 + u**2. Let p(n) = -2 - 1 - 2 - 2*n + 2. What is p(z) + s(z)?\nAnswer: -z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 27689*u + 941427. What is w(-34)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/6, 1, -4\/3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/1 - (-29 + -5 + 23). What is the third smallest value in g, -7\/3, 3\/28?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 29, 4 in decreasing order.\nAnswer: 29, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 200*b - 209*b = -9. Put -1, -3, 8, b in increasing order.\nAnswer: -3, -1, b, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 - u**2 + 2*u + 2. Let t be d(-2). Let b be ((-20)\/(-6))\/(t\/6). Suppose 4*p - b = -4*r + 2, p - 11 = -5*r. Solve -r*y = 3*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34369694?\nAnswer: 2, 101, 229, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*f - 27*f - 22*f + 52 = 4*a - 94*f + 20*f, -3*f - 73 = -5*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 - o + 1. Suppose 11 = -0*q + q. Let b = q + -7. Suppose 0 = 5*v + 20, b*r + 3 = -r + 3*v. Give w(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-36 - (1 - 25)) + (43 - -3) + -5\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 89 + -99. Let f be 760\/100 - 4\/u. Solve 5*o = h + f, o + h - 16 = 6*h for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 20136 = -30*z + 27*z, 5*z = 5*h + 33520. What is the hundreds digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8190065 divided by -6?\nAnswer: -8190065\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -62*i**3 - 66*i**3 - 16*i**3 + (3*i**2 - 5*i**2 + 0*i**2)*(-9*i - i + i).\nAnswer: -126*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15207 is divided by 1277.\nAnswer: 1160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {g: 2, x: 1, u: 3, l: 3, w: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14331.\nAnswer: 3, 17, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 304 is divided by 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u\/((u*u\/(u**(2\/5)*u*u))\/u)*u*u))**(3\/4)\/(u**(5\/2)*u\/(u*u*u**(-1\/7)*u))*u**(-4)\/(u*u**(1\/10))*(u*u*u**(-2))\/u**(-1) assuming u is positive.\nAnswer: u**(-563\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 112 - 110. What is the second derivative of 13*i**2 - 2 + 0 + i**l - 3*i + 24*i**2 wrt i?\nAnswer: 76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-54*z + 198*z + 168*z - 1)*(0*z - 5*z + 4*z).\nAnswer: -312*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -10*c. Let f(i) = 9518901*i. What is p(f(q))?\nAnswer: -95189010*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 57 + -59. Let o be (12 - (-6 - r)) + -3. Find the third derivative of o*q**3 - 27*q**3 - 3*q**2 - 13*q**2 wrt q.\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -45*b**3 - b**2 + b + 2. Let x be w(-1). Let c be (-88)\/14 - 2\/(-7). Let o be (c\/x)\/((-6)\/63). Which is bigger: o or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(9)\/sqrt(3) + -5 + (sqrt(75)*3)**2 + -2 + 3.\nAnswer: sqrt(3) + 666","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 29 + -49. Let y = k + 20.4. Let z(t) = 4*t - 1. Let w be z(1). Which is the second smallest value? (a) w (b) y (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 15 = -5*j, -j + 11 = 4*w - 14. Let s be 35\/(-14) + 4 - w\/(-2). Solve 2*b = k + 3*b + 2, s*b = 2*k + 22 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3917*s**2 + 1948*s**2 + 1955*s**2.\nAnswer: -14*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 12\/17 (c) -2\/7 (d) 1\/6 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 31.648+83056753\nAnswer: 83056784.648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 18817417 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12023, -24187, -36359, -48545, -60751, -72983?\nAnswer: -85247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 295.2 times -0.73773?\nAnswer: -217.777896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -5, 0, -4, -20?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 96, 114, 132, 150?\n\"Answer: 18*w + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -180*g**3 + 4*g**2 + 2*g - 17. Is f(-3) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 43\/2 of a centimeter?\nAnswer: 215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4563681 is divided by 113?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54 is divided by 17.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 9 = -81. Let x = 32 + m. Solve -4*f - x = -2 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 11 - 27 - 31 + 91 + 31*u**2 - 28.\nAnswer: 31*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, -5, -2, 4, 63, -4 in decreasing order.\nAnswer: 63, 17, 4, -2, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from {i: 6, d: 6}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -30, -47, -64?\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-9)\/(x\/(x*x**(-2\/19)*x)) assuming x is positive.\nAnswer: x**(-154\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4311.230886083 - -1.7.\nAnswer: -4309.530886083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -l**5 - 4817*l**6 + 2*l**5 - 824*l**2 + 4539*l**6 wrt l?\nAnswer: -33360*l**3 + 60*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 296056 and 27.383.\nAnswer: 296083.383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -6*o - 4. Let j be p(4). Let h be j\/5 + (-8)\/20. Let w = h + 10. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -0.07 (b) -3\/2 (c) -1\/4 (d) 0.04 (e) -2\/35\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 148*u - 279*u + 139*u.\nAnswer: 8*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23488738 * -2.\nAnswer: 46977476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 36721483 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 6, r: 6, b: 1, q: 1, g: 4}. Give prob of picking 1 b and 1 l.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -75*s + 12. Let f(a) = -37*a + 5. Let t(w) = -9*f(w) + 4*l(w). Let d be t(-5). Is 7 + d\/24 - 7470\/(-8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -0*h - 8, 7 = -3*u - 4*h. Suppose 0 = 5*x - 0*x - u*s, 6 = -3*x + 3*s. Solve 1 - 2*m**2 + x*m - 1 - m = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -327574.\nAnswer: 1\/327574","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 5276 divide 1796762904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) -1 (c) -2\/333 (d) 17 (e) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(605)*2 + 3 - sqrt(605)) + (5 + sqrt(605)*-3)**2 + 3)*-3.\nAnswer: -16443 + 957*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3\/18*27\/18\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.24 times 5.6\nAnswer: -1.344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of 2*d**3\/3 - 5*d**2 + 9*d + 44. List the prime factors of z(7).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 + 3*m**2 + 5*m - 5. Let i be l(4). Let t = -0.04 + -2.96. Which is the second smallest value? (a) -4 (b) i (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22 - 35. Let l = -13 - i. Which is the third biggest value? (a) -4\/9 (b) l (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 39*b + 38*b - 65*b. Let t(o) = o. Calculate w(t(a)).\nAnswer: 12*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 - 133*a**2 + 545*a - 401. Determine f(-137).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 + 3*b + 27 + b + 0*b - 3*b. Is 2 a factor of j(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v**3 + 20*v - 20*v + 3 to the form o*v**2 + b*v**3 + j*v + r and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/42*(-57504)\/23960.\nAnswer: -4\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 73, 99, 147, 223, 333?\n\"Answer: b**3 + 5*b**2 + 4*b + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 502 = 4*q - 2*q, -4*q + 996 = 2*s. Suppose -s*v + 497*v + 111 = 0. What is the remainder when 107 is divided by v?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkskssssssskkkksss. Give prob of sequence sss.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rb when two letters picked without replacement from {r: 1, j: 9, i: 4, b: 2}.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 401*z + 220*z**3 + 164*z**3 - 391*z**3.\nAnswer: -7*z**3 + 401*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*w = n - 1250, 23448*w - 23444*w - 32 - 158 = n for w.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2066371*g**3 + 305955*g + 1.\nAnswer: 12398226*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r**3 + r**2 + 2. Let u(n) be the third derivative of n**6\/30 + n**5\/20 + 2*n**3\/3 + 7*n**2 - 13. Determine 7*h(y) - 4*u(y).\nAnswer: -2*y**3 - 5*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -127.\nAnswer: -508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4606754 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -171*o - 4367*o + 875*o + 3*o + 0*o + 0*o - 4 + o + 4 + 2*o + 2*o - 2*o + (0 + 1 + 1)*(3*o - 3*o + o) as a*o + z and give a.\nAnswer: -3655","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.6*-681.4.\nAnswer: 408.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9\/193 in -0.055, -3, -1\/6, -0.2?\nAnswer: -0.055","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16144\/9 + 1794. Which is the smallest value? (a) -26 (b) 1\/12 (c) 5 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16 - 19 + 35 + 357*a - 32*a to r + v*a and give v.\nAnswer: 325","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-279)\/(-630) - (4\/14)\/2\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 4, -1, 0.09 in descending order.\nAnswer: 4, 0.1, 0.09, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -5*n - 17. Let x be a(-4). Let s(p) = p**3 + 6*p**2 - 7*p + 10. Let j be s(-7). Solve g - x*g = j for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 PM and 10:31 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.37 - 3.37. Let q = 255 + -254. Which is the nearest to q? (a) 3 (b) -0.3 (c) 1 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 10 = -2*m, 0 = a - 2*m + 6 - 2. Find the third derivative of -20 - 4*l**5 - l**a + 8*l**2 + 20 wrt l.\nAnswer: -240*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 + 2*l + 10. Let d(q) = 1360 - 2*q + 2*q**2 - 686 - 685. Determine 3*d(f) + 4*h(f).\nAnswer: 2*f**2 + 2*f + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7 and 1263285408.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + p + 3)*(0 + 0 + p) + 2*p**2 + 3*p**2 - 3*p**2 + 1005 - 1005 + 40*p**2.\nAnswer: 43*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*z + 4*z = -8*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.21 - 89.79. Let b = 90.999785 + z. Round b to 5 decimal places.\nAnswer: -0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22 + 38. Suppose 0 = 12*x - t*x + 36. Suppose -2*s + x = -91. Does 25 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 2*z**2 - 55*z + 28. Determine b(27).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/11, -4, 0.2, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8.37 - 443.37. Let w = 435.2 + f. What is the second biggest value in w, 5, -67?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2855?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 7:06 AM?\nAnswer: 10:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.2 and 25919050500?\nAnswer: 25919050500.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 divided by 249?\nAnswer: 35\/249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-3\/4)*p**(-1)\/p*p**(-3)\/p**(-1))\/(p**(-2\/3)\/p*((p**7\/p)\/p)\/p*p**(-6)\/p**7) assuming p is positive.\nAnswer: p**(71\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/2720277 and -109\/3108.\nAnswer: 10881108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5403?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.91 and -9617?\nAnswer: 18368.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 19 = 2*l, -l = -0*o + 3*o - 17. Suppose 14*i + 93 = 45*i. Solve 17*s**4 - 4*s**i - 16*s**4 + o*s**3 = 0 for s.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001102122000020 (base 3) to base 12.\nAnswer: 5087950","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15418?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 51 * -8357.\nAnswer: -426207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*w**3 + w + 17*w**2 - 7*w**2 - 2*w**3 - 5*w as u*w**2 + a*w**3 + n*w + l and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(95) + sqrt(95)*2 + sqrt(95) + sqrt(95) + sqrt(95))*5)\/((-1*(sqrt(5) + sqrt(80)) + sqrt(5))*2)*-1.\nAnswer: 15*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79 = -16*v - 5*j, -8280*v = -8283*v + 2*j - 6 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 22 and 5038.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4d + a01?\nAnswer: a50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*d + 501 = 7*j, -d - j - 5 = 2*j - 80 + 20 for d.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of 1\/4*i**4 + 187\/2*i**2 + 363*i - 166 + 25\/3*i**3. Suppose v(s) = 0. Calculate s.\nAnswer: -11, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2\/(-7))\/((-9)\/63). Sort -1, -6, q in increasing order.\nAnswer: -6, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-58)\/8*(-6 - 0\/17) and 10\/(-244)*485\/(-25)?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 539 is divided by 68?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -6\/5, 0.07, -2, 14 in decreasing order.\nAnswer: 14, 0.07, -0.4, -6\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 2*i + 5*b - 15, 2*i - b - 6 = 0. Suppose -7*o - 4*l + 12 = -4*o, 4*o = -l + i. Suppose o = 5*f - 35833 + 833. Round f to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-2 + 6)*2\/8 + 169?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = u + 49*u + 100 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1092, -1, 2, 30, -3 in ascending order.\nAnswer: -1092, -4, -3, -1, 2, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 369013963?\nAnswer: 369013963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2789298 to the nearest integer?\nAnswer: 1670","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5119 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7.555 + -7.6099. Round m to three dps.\nAnswer: -0.055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1092, 1114, 1064, 906, 604, 122, -576?\nAnswer: -1526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/((-59)\/(-29) - 2). Let d = 15 + t. Let w = d + 37. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = 3*g + 84, 33*q - 149*g + 531 = -161*g for q.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 4*c**2 - 2*c + 1. Let b be s(-5). Suppose -4*x - b = -295. Calculate the highest common divisor of x and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -0.14\nAnswer: -0.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 299 = -3*x, -15*x = 5*i - 20*x - 400. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -153*k**4 - 2*k**2 - 146*k**4 + 313*k**4 - 17*k**3 as l*k**4 + c + u*k + b*k**2 + n*k**3 and give l.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -4299*j**2 - 39*j + 39. Let l(o) = -70*o**2 - o + 1. What is -6*c(s) + 234*l(s)?\nAnswer: 9414*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 817\/2 - 429. Calculate the common denominator of 59\/12 and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i when three letters picked without replacement from {i: 3, l: 3}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f + 5*f + 6 = 0. Suppose s = f*l, 2*s + l - 14 - 1 = 0. Calculate the highest common factor of 30 and s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 2316182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 114.28 + -159.7. Round p to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 2, f: 3, y: 4, i: 1, s: 3, d: 6}. Give prob of sequence sdsy.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**2 - 90926*j - 45462.\nAnswer: -2*(j + 22731)*(2*j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 78, 157, 234, 309, 382?\n\"Answer: -w**2 + 82*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m = 8*m - 10 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -142.009 - -142. Round l to 3 decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3771*y + 3725*y - 14 = 170 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -925*j = -1034*j - 3924 for j.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*v + 2 - 4 - 9 - 7 + 14*v.\nAnswer: -2*v - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -7*u**3 + 2*u**2 - 2*u + 2. Let b(a) = 21*a**3 - 7*a**2 + 7*a - 7. Determine 2*b(i) + 7*w(i).\nAnswer: -7*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -526.99 times -0.1?\nAnswer: 52.699","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 o when two letters picked without replacement from yopy?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 186 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 551831281448 - 138*t**3 - 551831281448.\nAnswer: -138*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 8*j**2 + 27*j + 14. Suppose 173 = -5*w + 118. What is the units digit of f(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 154*f - 155*f = -5. Suppose 16 = -f*y + 16. Put -2\/9, -2, y, 0.11 in descending order.\nAnswer: 0.11, y, -2\/9, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(384)\/(2*sqrt(8))*-2 + -1 + 4)**2.\nAnswer: 72*sqrt(3) + 441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**0)**(-38))**(-7\/5)\/((q**(2\/5)*q)\/((q\/q**(1\/8))\/q)*(q**(-1\/4))**(1\/46)) assuming q is positive.\nAnswer: q**(-699\/460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 3*i + 22. Let a be v(4). Suppose -28 = 6*u - a. Solve -u = -2*o - 1 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*((6\/3)\/(-38))\/1.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 112136 - -326?\nAnswer: 112465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do 688.42 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-2\/55)*d)\/d*d*d*d\/(d**(-8)*d)*d assuming d is positive.\nAnswer: d**(662\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2.1207*-16820\nAnswer: -35670.174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1a9 (base 11) to base 2\nAnswer: 11110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a**2 + 15*a - 8. Let m be k(-8). Let j be (14\/(-7) - m) + (-8)\/2. Let q = j - -43. Calculate the remainder when q is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 35, -6, -4, 1 in increasing order.\nAnswer: -6, -4, 1, 2, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4940, -6921, -2744, 10669, 36396?\nAnswer: 77515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -208261360 rounded to the nearest ten thousand?\nAnswer: -208260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.62 - 4.62. Let s = 3.0109 + -0.0109. Which is the nearest to 3? (a) 1\/9 (b) q (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 675 is divided by 287.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-5 - (3 - 7))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 212 (base 7) to base 13\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5060 and 4417840?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2833*h**3 + h**2 + 1348470*h.\nAnswer: -16998*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -761705 by -5.\nAnswer: 152341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -3\/5*r**4 + 108\/5 + 39\/5*r**2 - 9\/5*r**3 + 153\/5*r = 0.\nAnswer: -3, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1413.6 + -1414. Let b = -36 - -64. Let z be (2 + 4)*(-7)\/b. Sort 1, z, 0.3, u in descending order.\nAnswer: 1, 0.3, u, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s**4 + 12720*s**3 - 7895425*s**2 - 249279030*s + 530038080 = 0.\nAnswer: -32, 2, 1287","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 34511a (base 11) to base 15\nAnswer: ac7c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -m**4*r + 68941*m*r**2 + 14763*r**2 - 2*r with respect to m.\nAnswer: -4*m**3*r + 68941*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 8690214 to the nearest 100000.\nAnswer: 8700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-45)\/(-12) + (-2)\/(-8). Let c be -6 + (1 - -1) + -2. Let p be f\/c + (-9602)\/(-3). What is p rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-640)\/(-400) + 0 + 2)*(-6 - -16)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-14)\/(-1032))\/((1584\/(-128))\/(-33)). Is p at most as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 53\/166 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24734*f*m**3 - 19*f*m + 381*f wrt m?\nAnswer: -148404*f*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -77*v**2 - 73*v**2 + 151*v**2.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -263 and -0.4.\nAnswer: 105.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -630*t**2 - 3140*t - 1. What is s(-5)?\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5066 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52, 102, 152, 202?\nAnswer: 252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of 0*k**2 - 2\/3*k**3 + 6 + 0*k + 0*k**4 - 1\/120*k**5. Let p(m) be the third derivative of u(m). Let t(l) = 4*l. Give p(t(o)).\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*d = -118*d + 139*d + 24, -12 = -4*r - d for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1153947 is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -6 (b) 1\/3 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/26, 5, -10067.\nAnswer: -10067, -1\/26, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 351 = -n - 155, -i - 131 = -2*n. Let c = i + 132. Calculate the common denominator of -48\/7 and (-319)\/(-7) + c\/((-70)\/(-6)).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23540075 to the power of 1\/3, to the nearest integer?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bibibjababsa. What is prob of sequence sb?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**0*c)**(-1\/2)*(c**(-2)*c)\/(c*c**(-1)*c*c) assuming c is positive.\nAnswer: c**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -33324309386 - -10.\nAnswer: -33324309376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -100604033 - 0.021.\nAnswer: -100604033.021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 3)*(-v**4 - 3*v**2 + 3*v**2) + (-10*v**3 + 3*v**3 + 2*v**3)*(3*v - v - 3*v)*(-1 - 2 + 1).\nAnswer: -9*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 99 by 3.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - 11 - -8) + (-8 - -1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -134 - -133.8. Sort -2\/7, 0.1, -1\/8, x.\nAnswer: -2\/7, x, -1\/8, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 716292 and 108?\nAnswer: 2148876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + 0. Let p(k) = 0*k - 3*k + 0 + 4 - l. What are the prime factors of p(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(833) + 1*sqrt(833)) + sqrt(833) + sqrt(833) + 0 + (-2*sqrt(833) - sqrt(833)))**2.\nAnswer: 20825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5653.\nAnswer: 5653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -70 + 75. Suppose -f*w = 54 - 314. Let j = -37 + w. Is 3 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 313*h - 270*h = 215 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 11) in base 15?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 5 = 0, 5*y + 5 = z + 2*y. Suppose 4 = 2*k - z. Suppose -4*i - 2*b = -28, 2*i - 9 = -k*i + 4*b. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - 22\/14)\/(2\/(-203)). Let h = x - 54. Suppose 42 = -h*f + 5*f. List the prime factors of f.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 823 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c**2 + 2*c**2 - 3*c**2 + c**2 + 2*c**2.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s - 27 = -16*s. Find the first derivative of -s + 4*h**4 + 6*h**4 - 5*h + 5*h wrt h.\nAnswer: 40*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/29 at most as big as -730?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -2\/21 (b) 0.06 (c) 1\/2 (d) 247\/5 (e) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 2*u = 6. Let j be (8\/6)\/((-5)\/u). Sort -0.3, j, 2\/19 in decreasing order.\nAnswer: j, 2\/19, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b - b - b + 1)*(-165*b + 121*b + 87*b).\nAnswer: 43*b**2 + 43*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -796872732 divided by -1544327?\nAnswer: 516","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) 1\/81 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11056153 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 256\/14 - (-22)\/(-77). Let i = 31 - y. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffrfiffirfff. What is prob of picking 1 i and 1 r?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 11158 times -24.81\nAnswer: -276829.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143)*2*-6*1)\/(sqrt(704) + sqrt(704) + sqrt(704)*3*5 + sqrt(704)).\nAnswer: -sqrt(13)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -104 = 4*t + 4*l, 3*t - 5*l - 27178 = -27264 for t.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 22213598?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 0.0002\nAnswer: 5.0002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9984 = 8*k + 648. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 2*a - 40. Suppose 25*i - 21*i - a = 0. Solve 0 = -i*t - 3*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*b + 8 - 3*b - 2*b + 10*b - 8*b + b**2 to j*b + m*b**2 + c and give j.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2619900918.9+6\nAnswer: 2619900924.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 4*p = -16, 22*p = -g + 23*p - 1. Let u(l) = -13*l - 4. Let k(s) = -391*s - 119. What is g*k(m) - 119*u(m)?\nAnswer: -17*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -625 or -654?\nAnswer: -654","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((8\/6)\/2)\/(-24*156\/522288)\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 v when three letters picked without replacement from eevvvv?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bmyb when four letters picked without replacement from kkkkbbmyy.\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 plus 1913?\nAnswer: 1912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 56 - 57. Which is the third smallest value? (a) -1\/4 (b) p (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -2, 0, 1, 6\/13?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -18*v**2 + 13*v - 1. What is h(1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21707539?\nAnswer: 7, 443011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 5*u + 1331. Let s be c(72). Calculate the highest common factor of 95 and s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1791 and 796.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 295 and 118?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -15199 - -24115. List the prime factors of h.\nAnswer: 2, 3, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 355*p**2 - 5783*p + 6867. Determine v(15).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 376 and 3572.\nAnswer: 7144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5567.4 and 0.18412.\nAnswer: 5567.58412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from duzdydx. What is prob of picking 1 z and 1 d?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2. Let r(o) be the third derivative of o**4\/8 + 2*o**2. Calculate r(a(n)).\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(8\/9))**(-1\/53)*f\/(f*f*f**(2\/11))*f*(f**(-28)*f)\/f assuming f is positive.\nAnswer: f**(-147958\/5247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2996362 divided by 82?\nAnswer: -36541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -257 (b) 4\/7 (c) -3\/35 (d) -1\/3 (e) -1\/12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3*(-1)\/3 - 1. Suppose -2*v = 3*h - 3 + 10, 3*h - 5*v - 28 = y. Suppose 9 = -2*j + p, 3*j - 3*p + 23 = -j. What is the closest to h in j, -1\/2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 8 and -20.5.\nAnswer: -12.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 2:56 PM?\nAnswer: 1:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 329156 and 2276276?\nAnswer: 4636","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**1)**(12\/7))**(2\/135) assuming b is positive.\nAnswer: b**(8\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -16*(1 - (-9)\/(-6)). Suppose 2*v = -3*f - 8, -2*v + r = -4*f - 4*v. Round f to 6 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.86139652 rounded to 4 decimal places?\nAnswer: -8.8614","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 10:37 PM?\nAnswer: 8:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 11376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -45211 (base 6) in base 12?\nAnswer: -3807","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -12323 + -1003?\nAnswer: -13326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 172664, -4, 1 in descending order.\nAnswer: 172664, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.08769 + 3.91231. Which is the third smallest value? (a) 0.5 (b) 412 (c) 0.4 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*x**2 + 6*x + 119.\nAnswer: -12*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)\/(sqrt(27)\/sqrt(3)) - (4*sqrt(44)\/sqrt(4) - sqrt(11))**2)*-2.\nAnswer: -2*sqrt(11) + 198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1426 - 1379. Solve 3*y + 7 = -5*r, 2*y + 2*r = 45 - i for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 189?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 35947, 0.1 in decreasing order.\nAnswer: 35947, 19, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6672 (base 11) in base 8?\nAnswer: 21127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 96\/36*18*(-6)\/8. Let i be (-2 - -5 - 6)*l\/189. Solve 6\/7*w - i - 2\/7*w**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 840185447 divided by -1?\nAnswer: -840185447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 4*c - 12. What is the remainder when 1\/(((-4)\/(-9))\/c) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 3*c = 181, j + 3*j = -c + 155. Let d = j - 5. What are the prime factors of d?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 minutes after 8:22 PM?\nAnswer: 5:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -31, -429, -1087, -2005, -3183, -4621, -6319?\n\"Answer: -130*g**2 - 8*g + 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 115*n**4*t - n**2*t**2 - 90*t**2 - 21 wrt n?\nAnswer: 460*n**3*t - 2*n*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + 0*u + 40 = 0. Suppose 0 = -u*t - 2*q + 1079 - 36, -5*t - q + 1044 = 0. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -4*v**2 + 6*v - 3. Let x(a) = 3*a**2 - 6*a + 3. Let n(y) = -3*x(y) - 2*z(y). Let l be (-12)\/(-30) - 36\/(-10). Calculate n(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of -5*n**3\/6 + 6*n - 4. Let y(p) be the first derivative of k(p). Let l(i) = 2*i. Calculate y(l(o)).\nAnswer: -10*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/8 of a gram in milligrams?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -238.985 + 239. Round c to 2 decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*h**4 - 3*h + 3*h + (-5*h**3 + 3*h**3 + 3*h**3)*(-400 - 98*h + 400) as d*h**2 + i*h + q*h**4 + k*h**3 + m and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 + 49\/2*n - 1\/2*n**2 = 0. Calculate n.\nAnswer: 1, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(567) + 2 - sqrt(567))*-2 - sqrt(567))**2 + 2 + (sqrt(1260)*-1)\/((sqrt(5) - (sqrt(5) + sqrt(5)*2 - sqrt(5)))*-1) + 0.\nAnswer: 66*sqrt(7) + 585","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/5*k**2 + 0*k + 1\/5.\nAnswer: -(k - 1)*(k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 32 = 12. Suppose -5*a + 10 = -2*k - 3*a, y*k = -2*a - 4. Which is smaller: -7 or k?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -22 + 2300?\nAnswer: 2223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1121003 - -110021132?\nAnswer: 111202201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*s + 915 = -1620. Let t = s - -195. Solve -4 = -2*h + 5*j + 1, t = 3*h + 4*j + 4 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8\/5, -1\/4, -12 in descending order.\nAnswer: -1\/4, -8\/5, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 231915?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 3*x + 1. Find the second derivative of x*a + 50*a + 18*a - 23*a + 106*a**2 wrt a.\nAnswer: 212","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1836394017?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 11, -12, 3, -0.027, -1?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12.3 + -2.3. Let u = 1967.07 - 1957. Let i = u - p. What is i rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2715?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -460.6274 to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10.79 + -10.78996168. What is u rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 - 7*l**2 + 5*l + 4. Let d(r) = -r**2 + 6*r + 22. Let w be d(8). Suppose 0 = -3*f + w + 12. Calculate u(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2*z + 1)*(1 + 5 - 2)*((-4 + 1 + 2)*(-1 + 3 - 3) + 1 - 6 + 3) in the form b*z + t and give b.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 4*v = -2*n + 11, -2*v + 6 = 3*n. Is v >= 9\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, 6, 1\/3, -1\/4, -5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 82 and 144776986.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -15*w**2 + 154. Let a(z) = 10*z**2 - 105. What is -7*a(r) - 5*p(r)?\nAnswer: 5*r**2 - 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43\/(-5) + 10\/((-550)\/(-33)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4989434*b**2*h**3 + b**2*h - 3*b**2 + b*h - 36733*b with respect to h.\nAnswer: 14968302*b**2*h**2 + b**2 + b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 2*v - 50, 3*v = -0*v + 5*g + 70. Suppose -j = -0*j + 4*l - 25, 2*j - 2*l = 0. Calculate the highest common divisor of v and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28 and 10.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 75945 and 127488.\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-4) - 9\/(-4). Let m be (-12)\/(-9)*(2 + 1). Let -10*f**3 - 2*f + 8*f**5 + 6*f - 6*f**m - r*f + 6*f**2 = 0. What is f?\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h*(((h**(-2\/19)*h)\/h)\/h*h)\/h)\/h)\/h)\/h**(-2\/11))**(1\/14)*(h\/(h**0*h)*h*h*h*h**(-4)*h*h)\/(h**2*h*h*h*h**(-6)) assuming h is positive.\nAnswer: h**(2725\/1463)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2720?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (2 + -1 + (3 - 0))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.486 to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 + 5*h - 12. Give l(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lklqjwzk. What is prob of sequence jwl?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1703 - -1696. Which is the third smallest value? (a) 0.5 (b) -2 (c) 28 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9 and 657.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oiiixoiioiioiioii. Give prob of sequence xo.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.0336 rounded to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 24 = 76 - 85 for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7 - -ca4?\nAnswer: c9d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -101\/2 - -52. Let h = -0.07741 + 0.07741. Sort h, -14, 3, f in descending order.\nAnswer: 3, f, h, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 157*n = -151*n + 458*n - 157*n - 75 - 178, -175 = 5*n for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -10110010001100000011 (base 2) in base 15?\nAnswer: -e63c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1248c52 (base 13) to base 8\nAnswer: -25603216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-5)*183\/(-549)*-1*3.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 4*f**3 - f**2. Suppose 0 = c - 0*c - 1. Let z be u(c). Solve -3*g**3 + g + 2*g**z + g + g**2 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6178, -6138, -6072, -5980?\nAnswer: -5862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 85 (base 15) in base 8?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange c + 1 - 1 + 6*c + 0*c - 5*c + (1 - 2 + 3)*(c + 2*c - 5*c) - 4 + 4 - 2*c - 3*c - 4*c + 15*c - 1 to x*c + t and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 13*t + 4. Let i be c(-4). Calculate the remainder when 11 is divided by -4*4\/i*12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1790315060 to the power of 1\/3, to the nearest integer?\nAnswer: 1214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 122517 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 + 2 = 4*p. Suppose -p*v = -35 - 109. Calculate the greatest common divisor of 120 and v.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23761087793 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1a16 + 1?\nAnswer: -1a15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*(b\/b**(-2\/7))\/b)**26*(b**(-1\/10)\/b)\/(b\/(b*b**(-7)*b*b)*b))\/((b**(-2)\/((b*b**(-4)*b*b)\/b))\/(b*b**1)**(-3\/4)) assuming b is positive.\nAnswer: b**(869\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -5*a + 800, 4*a - 20*r + 15*r = 640. Which is smaller: a or 148?\nAnswer: 148","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40953, -40952, -40939, -40908, -40853, -40768, -40647, -40484?\nAnswer: -40273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = j**2 - j + 2. Let w be q(2). Suppose -w*f = -4 - 16. Let i = f + -9. Put -3, 3, i in increasing order.\nAnswer: i, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5106 and 108?\nAnswer: 91908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 10*x = 0. Let l be -14*(-3)\/(6 - x). Suppose -3*j = l + 5. Sort 1, j, -1 in increasing order.\nAnswer: j, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -1*-3*(-1*(sqrt(52)*2 + sqrt(52) - (sqrt(13)*2 + 5 + sqrt(13))))**2*1.\nAnswer: -90*sqrt(13) + 421","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (58 + -29 - 12) + -1 + 3?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28769 + 28769 - 4*v.\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 68\/(-30) + 63\/(-945)\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 244837 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 72232569 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-10)\/8 - 75\/20. Let c(z) be the second derivative of -z**4\/12 - 5*z**3\/6 + 7*z**2\/2 + z. What is c(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 235327398?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 277 = 29. What is the hundreds digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + 9a4?\nAnswer: 9a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence udu when three letters picked without replacement from {d: 5, z: 1, k: 5, u: 5}?\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -173875 divided by 4\nAnswer: -173875\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*n + 194616*p = 194613*p + 93, p = 3 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**5 - 21*q**4 - 90*q**3 + 204*q**2 + 984*q + 864.\nAnswer: 3*(q - 9)*(q - 4)*(q + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 163 is divided by (-1)\/((-2)\/266) + (-18 - (-23 - 1)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*h - 2*h - 2*h**3 - 3*h**3 + 0*h wrt h.\nAnswer: -30*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/2 in 13\/5, 0.55, 9, 2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 881.\nAnswer: 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1913 - 1853. What is the remainder when 207 is divided by j?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, 2883 in decreasing order.\nAnswer: 2883, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 11:40 AM?\nAnswer: 7:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of -176*p**2 + 64*p - 399. What is the first derivative of v(h) wrt h?\nAnswer: -352","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*t + 568876 = -4*t. List the prime factors of t.\nAnswer: 2, 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -31 - -27. Let f(b) = -3*b - 7. Let x(t) = -t - 1. Let k(h) = f(h) - 2*x(h). Give k(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*w**4\/4 + 252*w**3 + 6837*w**2\/4 - 25011*w\/2 + 16362 = 0.\nAnswer: -9, 2, 3, 404\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 + -0.0805?\nAnswer: -0.5805","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5866 and 404754.\nAnswer: 404754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -25*v - 80. Calculate the remainder when b(-7) is divided by 25.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 154746.\nAnswer: 2, 3, 8597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 147 and 35427.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a + 1030880 = 19*a + 42*a. Does 12 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85856 is divided by 318.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(891)*4*-3 + 1)**2*5)*5.\nAnswer: -5400*sqrt(11) + 3207625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6848172855.\nAnswer: 3, 5, 241, 631459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 476 a factor of 16283484?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 591 (b) -3 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/8 (b) 2\/15 (c) 0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13656837*u - 3487596.\nAnswer: -13656837","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5794 divided by 5794?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, 0.55, -35?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 536 and 14821953852.\nAnswer: 14821954388","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -7 - (-4 + 0 + 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 413244096?\nAnswer: 2, 3, 157, 13709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of -101*x**4\/2 - x**2\/2 - 555*x + 575. What is the derivative of r(z) wrt z?\nAnswer: -606*z**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -327*g + 297*g = 41190. Which is greater: g or -6862\/5?\nAnswer: -6862\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27968?\nAnswer: 2, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 31, 62, 93, 124, 155, 186?\nAnswer: 217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9\/2 - (-1)\/(-2). Suppose 5*k + 6 = -2*t, -t + k + j = -0. Let g(r) = -t - 3*r - 8 + 2*r + 3. Determine g(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.42 + -1.26. Let s = v - 0.26. Is 2\/13 smaller than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 101*l**4 + 22*l + 92*l - 5*l wrt l.\nAnswer: 1212*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 + 144*h**2 - 1066*h - 1343. What is the smallest common multiple of c(-151) and 20\/6 - (-4)\/6?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n - 7. Let q be g(10). Let p be (-10)\/42*q + 1. Which is the closest to 1? (a) 0.1 (b) -4 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7044 - 35394\/5. Suppose 3*q + 2*y + 138 = 31, 4*q + 135 = 5*y. Which is smaller: q or w?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the second derivative of -c**6\/360 - c**4\/4 + 7*c. Let o(f) be the third derivative of u(f). Let v(z) = -16*z. Give o(v(r)).\nAnswer: 32*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-6) - (-4)\/(-24). Which is the nearest to 1? (a) p (b) -2\/17 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3189082 in -0.05, -1\/7, 1\/5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -6. Let h(y) = y**3 - 3*y**2 - 3 + 0*y**2 + 7*y - y**2 - 3*y. Let q be h(k). Solve q = -3*v - 3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -2*c**4 + 16*c**3 - 28*c**2 - 16*c + 30 = 0?\nAnswer: -1, 1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1990969 at most -1991003?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum 12 and 5008.\nAnswer: 5020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence trr when three letters picked without replacement from {r: 2, h: 2, y: 1, j: 2, t: 1}.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -546*a**2 + 4*a + 7. Let p(w) = 10*w. Determine s(p(d)).\nAnswer: -54600*d**2 + 40*d + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 63 - 54. What are the prime factors of (-2 + -1)*(6 - 1767\/g)?\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.348 and 636924.\nAnswer: 221649.552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1141\/(-978)*((2 - -25)\/(-3))\/14?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118*a + 265 - 441 - 551 = 335 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (3 + (sqrt(272) - (sqrt(272) + 2 + sqrt(272) + -1)) - (-5*1*sqrt(272)*2)**2).\nAnswer: -27197 - 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - a = 18, -5*a - 20 = f - 0*a for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10111000100001011100001 (base 2) to base 15.\nAnswer: 7e6808","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 7, m: 1}. Give prob of sequence bb.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of 25*p**2\/2 + 3. Let r be w(-4). Is -4*(-5)\/(r\/(-1055)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (37*h - 50 + 50)*(-19 - h + 19)*(3*h**2 - 2*h**2 + h**2) to k*h**2 + y*h**4 + q + c*h**3 + i*h and give y.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 4*k**3 + 5. Let p(t) = 3*t**3 + 4. Determine -4*c(z) + 5*p(z).\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 858544.8 millimeters?\nAnswer: 858544800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -13*b**3 - 19*b**2 + 127*b + 1093. Let l be j(-8). What is the highest common factor of 9 and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70237*a - 1474 = -70379*a + 2218 for a.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 2 - 3. Let f = h + 4. Suppose -2*b + 0*b = 4*n, 3*n = -f*b. Solve 2*j + 5*q + 18 = b, 2*j + q + 2 = -0*q for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 318 + -314. Suppose -v + n*r = -430, -5*r - 1137 = -2*v - 277. Does 43 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4 - (-2 + 3\/3). Let y(g) = g**2 + g + 7. What is the units digit of y(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the first derivative of i**4\/8 + 41*i**3\/3 + 1681*i**2\/4 - 2410. Factor f(n).\nAnswer: n*(n + 41)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a = 5*c + 3, -a - 8 = 4*c + a for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = -5*d - 15. Let t = 4 + d. Let x be (t*(-3 - -1))\/(-2). Solve -2*w = -x - 3, c - 2*w = -6 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*p**4 - 7*p**4 + 17*p**4 + 8 - 18 - p - 7 - 2*p**3 as t*p**2 + k*p**4 + g*p**3 + u + b*p and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28702582?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**3 - 5620*d**2 - 36*d + 50580.\nAnswer: 4*(d - 1405)*(d - 3)*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - k + 2*k)*(-15809 + 35744 - 12495).\nAnswer: 7440*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*o = -30*o + 8 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**2. Let m(s) = -13099*s + 1. Calculate b(m(n)).\nAnswer: -171583801*n**2 + 26198*n - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 3095 divide 307885864?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 7420\/848 + 2\/8\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(4\/5)*k)\/(k*k\/(k\/k**(-1\/10))*k)*k**6\/k**(-6)*((k**(-3)*k)\/k*k*k**2\/k*k*k)**(-36) assuming k is positive.\nAnswer: k**(-241\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2309 and -0.121.\nAnswer: -279.389","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6.6 - -6. Let q = h + 1.1. Which is the nearest to 1\/2? (a) 0.3 (b) 5\/6 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2664 and 9546?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 29 = -4*h, 4*x + 24*h - 21*h = 14 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 2*i = -12, 3*i = -2*c - 2 - 3. Let d = -14 + 22. Let h = d + -3. Solve 9 - 3 = -4*l + 2*m, 15 = h*l + c*m for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -64 - -54. Let y(v) = v**3 - 13 + 0*v**3 - 2*v + 10*v**2 + 1. What are the prime factors of y(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.0578 + -0.056126. What is f rounded to 4 decimal places?\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from oooooboxobooooooo. What is prob of sequence oobo?\nAnswer: 13\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.9782 and 34558.\nAnswer: -33804.6356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 108, 109, 120, 147, 196, 273, 384?\n\"Answer: y**3 - y**2 - 3*y + 111","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(19\/7 + -3). Let o = 8 - h. Let z be (-7 + (4 - 0))*14\/(-6). Calculate the greatest common factor of o and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.065 + 135.135. Round d to the nearest 10.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32788, 32805, 32824, 32845, 32868, 32893?\nAnswer: 32920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/4, -4, 1, 0.5, 8, 0, 0.1263?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1166\/7 + 166. Let n(v) = 2*v - 3*v - 2*v**3 + 2 + 5*v**2 + 3 + v**3. Let a be n(5). Is j less than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 74166 (base 8) to base 13\nAnswer: 11062","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/1*4\/((-84)\/7)*-3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 93944 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: Which is the third biggest value? (a) -3 (b) 1\/5 (c) -2 (d) 26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -604*n + 599*n + 132955. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 577 is divided by 45.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 472 + -413. Suppose 67*f - 2432 = q*f. What is the hundreds digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.86694 to two decimal places.\nAnswer: 1.87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -4*c**4 - 20*c**3 - 28*c**2 - 12*c = 0?\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 354 a factor of 597198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 10*b**2. Let f(n) be the third derivative of n**4\/24 + n**3\/6 - 42*n**2. Let c(p) = -12*p - 8. Let g(i) = -c(i) - 8*f(i). What is g(a(o))?\nAnswer: 40*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g\/g**(-2\/17))\/g*g*g)\/g*g\/g**2)\/((g**(4\/7)*g)\/g**(-1\/5)))**(14\/9) assuming g is positive.\nAnswer: g**(-656\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(110)*-1*-2*-4)\/((sqrt(90) + (1*sqrt(90) + sqrt(90) + sqrt(90))*1)\/(sqrt(900) + sqrt(900)*2)).\nAnswer: -120*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -29*g. Let u(r) = 36*r**2 + 527*r. Determine u(t(f)).\nAnswer: 30276*f**2 - 15283*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8937 is divided by 223?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.204613 and 0.4.\nAnswer: 0.604613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of -o**6\/120 - o**4\/24 - 3240*o**2 + 2. Let p(r) = 4*r**3 - 2*r**2 + 7*r - 2. Determine 3*a(t) + p(t).\nAnswer: t**3 - 2*t**2 + 4*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(6\/11)\/c)\/(c\/(c**17*c*c))*c**(-13)\/((c*c*c**(-2\/5))\/c) assuming c is positive.\nAnswer: c**(217\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a*(a\/(a\/(a**(2\/11)*a)*a))\/a)\/(a\/(a**(-1\/29)*a)*a)*(a\/((a\/(((a\/a**2*a)\/a*a*a)\/a))\/a))\/((a**(-2)\/a*a)\/a) assuming a is positive.\nAnswer: a**(1323\/319)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1001 - 10?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1 + 0.1. Let b(o) be the second derivative of o**4\/12 + 3*o**3\/2 - 11*o**2\/2 + 3*o. Let k be b(-10). What is the second biggest value in s, k, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 2*j**2 + 43437716*j = 0.\nAnswer: -21718858, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12 and -0.043.\nAnswer: 0.516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 2*v**5\/5 + 466*v**4\/5 - 13482*v**3\/5 - 132946*v**2\/5 + 874736*v - 3431400 = 0.\nAnswer: -258, -19, 5, 14, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 5799960, -3\/7 in decreasing order.\nAnswer: 5799960, -2\/7, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 take away 0.114642?\nAnswer: -5.114642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {a: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 4*x - 9. Let m(p) be the first derivative of -15*p**2\/2 + 38*p - 101. Let b(w) = 2*m(w) + 9*q(w). Let i(r) = -3*r**2. Calculate b(i(o)).\nAnswer: -18*o**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 20 = -3*n, 2*o + 3 = -n - 7. Let r be -2*(7\/n - -1). Let -r + 1\/3*p**2 + 0*p = 0. What is p?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 4*i - 11. Is -4\/69 at most as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2 + 0.3. Let l = r + -0.2. Let o = 0.96 - -0.04. Which is greater: o or l?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(252) + 1*sqrt(252) + sqrt(252) + sqrt(252) + sqrt(252)))\/sqrt(4))\/(-3*sqrt(36)\/sqrt(4) + 2*sqrt(1089) + sqrt(9)).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 42202\/5 + -8334. Let c = -106 + y. Factor c*s + 4\/5 - 2\/5*s**2.\nAnswer: -2*(s - 2)*(s + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 580 and 15700?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**3 + 40*g**2 - 92*g + 48.\nAnswer: 4*(g - 1)**2*(g + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 7276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 5*a - 33. Let f(q) = 14*q - 100. Let g(l) = 17*b(l) - 6*f(l). Let x be g(-23). Suppose 23*o - x = 19*o. What is the remainder when 9 is divided by o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dddd when four letters picked without replacement from {d: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16958 - 1073*m - 16958)*(2*m**2 - 3*m**2 + 0*m**2).\nAnswer: 1073*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(3\/11))**21 assuming t is positive.\nAnswer: t**(63\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56015420.\nAnswer: 2, 5, 19, 147409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6720?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (30\/(-24))\/(2\/(-344)). Let d = -211 + u. Solve -23 + 3 = d*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -542 - -594. What is the remainder when 465 is divided by l?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**2 + 12*p - 8.\nAnswer: -4*(p - 2)*(p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7.4 and 1958.01.\nAnswer: -14489.274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2*g**2 + 45*g + 271. What is m(-5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 AM and 4:32 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72458 = -3404*v + 150054 + 43852 - 55316 for v.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 755772059 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p - 5. Let u be y(-7). Suppose 0 = -3*d + u*z + 137, 3*z - 41 = -2*d + 59. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1182.6 + 1180.6. Let o = 0.1 + -1.5. Let h = 2.4 + o. Which is the nearest to n? (a) -1 (b) 0.4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -418, -401, -384, -367, -350?\n\"Answer: 17*f - 435","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h**3 + 58*h**2 - 375*h + 17. What is i(10)?\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26 + -10. Suppose -166 = -17*m + 1534. Suppose -18*h = -t*h - m. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 5*q + 24 = -10, 4*f + 5*q - 68 = 0. Suppose 2*x = -x + 5*i, -4*x + f = -i. Put x, 2, -3, -5 in decreasing order.\nAnswer: x, 2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7.3 + 7. Let n = -87 + 263\/3. Let y = -7 - -7. What is the smallest value in n, z, y?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h and 1 e when four letters picked without replacement from {h: 10, e: 1, r: 1, c: 2}?\nAnswer: 120\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 146112 and 681856.\nAnswer: 2045568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(((-1)\/((-38)\/(-1235)))\/((-10)\/4))\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 20 = 5*p, 0 = 86*p - 89*p - b + 12 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 AM and 10:59 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92479 is divided by 85?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5243417 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 12, s: 3}. Give prob of sequence sbss.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 289*a + 242*a - 7110 = 33*a + 24*a for a.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*c**2*m*u**2 + c**2*m*u + 2*c**2*m - c*u + 40*m*u**2 wrt c.\nAnswer: 12*m*u**2 + 2*m*u + 4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 4, -0.2 in decreasing order.\nAnswer: 4, -0.2, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 85.924 less than -0.79752?\nAnswer: -86.72152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 636717, 1273415, 1910113, 2546811, 3183509, 3820207?\nAnswer: 4456905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*w**2\/11 - 344*w\/11 + 14792\/11 = 0. Calculate w.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*q = -39*q + 68. Is 30 a factor of q\/119 - (-1258)\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001100100001010110 - 1?\nAnswer: 1001100100001010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.085 - -9.185. Let p = -9 + n. Which is bigger: p or -4\/5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 93*l**2 + 3*l + 6. Let b be v(-2). Let o = b + -367. What is the fourth biggest value in -3\/4, o, -4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 51 + -12. Let b = o - 24. What is the remainder when (-6)\/(-9)*(0 - 1539\/(-18)) is divided by b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, 17, -0.132, 57?\nAnswer: 57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 1 - 2*u**3 + (-5*u**3 + u**3 + 6*u**3)*(4 - 5 + 0) - 64*u**3 + 21*u + 7121189 - 7121189 in the form p*u + r + z*u**3 + a*u**2 and give z.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 472 divide 19352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.037 + 0.537. Let b = -41\/36 + 8\/9. What is the third biggest value in -1, x, b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 15\/(-36) - (-6)\/9. Let g be 6*((-1)\/(-7) + 0). Which is the nearest to r? (a) 2\/17 (b) -5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -8*j + 22*j - 2*j + 0*j. Let a(k) be the second derivative of -13*k**3\/6 - 80*k. Calculate m(a(u)).\nAnswer: -156*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 648\/(-210) + 3 - (-2)\/7.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 27 - 24. Which is the closest to 2\/3? (a) 0.02 (b) j (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q - 5. Let d(b) = b**3 + 9*b**2 - 14*b - 15. Let v(p) = -d(p) + 4*t(p). Calculate v(-10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-36))\/((-96)\/1728).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mqmqossmzdsqmzq. Give prob of sequence ssm.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/84 and -5\/140073276.\nAnswer: 140073276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t**3 + 144872648*t**2 - 144872648*t**2.\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -94, -87.\nAnswer: -94, -87, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a meter in millimeters?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 49 + -50. Is r < 11\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1581 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -61\/4, -0.37831, -50?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -78 - -51. Let x = 30 + u. Let j(t) = -t**3 + 4*t**2 - t - 4. Let r be j(x). Solve -4*f - 5*h - 13 = -r, -3*f - 9 = 4*h for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 96675*o + 517026 with respect to o.\nAnswer: 96675","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-3 + 21\/9 + -21 + 1585\/75)\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of -1127*o**5 + o**4\/4 - 13*o**3 - 3*o**2\/2 - 86. Find the third derivative of i(n) wrt n.\nAnswer: -135240*n + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-20)\/(-20)*(-3)\/((-3)\/(-3)). Let b = -20.5 + 39.5. Let f be ((-6)\/21)\/(3\/(-7)). What is the biggest value in f, a, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 74*g + 13*g**2 - 30*g - g**3 - 44*g + 2*g**4 + 0*g**3 as c + q*g**4 + i*g**3 + o*g**2 + d*g and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(11)*2 - sqrt(11))*-1.\nAnswer: 11*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -29992\/5399?\nAnswer: -29992\/5399","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*y**3 + 30824*y**2 - 19555712*y - 307144576.\nAnswer: -4*(y - 1292)**2*(3*y + 46)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - -4)\/((-6)\/4). Let g = 37 - 33. Let z be -1*(g\/o + -43). What is z rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pzoopozzporppzpzo. What is prob of picking 1 p and 1 r?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14432 - -14428. What is the second biggest value in -0.042, -2\/31, 3, w?\nAnswer: -0.042","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 924 + -925 + (-14 - 3)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/(-6))\/(9 - -2 - (-5810)\/(-105)). What is the second smallest value in -9, y, 0.2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 8. Suppose -15 = -5*p, 3*l + q*p = -6 - 0. Let u = l - -14. What is the remainder when 18 is divided by u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of -b**4\/12 - b**3\/3 + 5*b**2\/2 + 39*b. Determine n(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 123559088 and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 43720, 43721, 43722, 43723, 43724?\n\"Answer: f + 43719","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k + k + 8, q = -4*k - 68. Let f be (-4)\/q*3*7. Solve 3*z + f = -14 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*q - 12 = -30. Suppose -m + 2*p - 10 = -0*m, 2*m - 4 = -q*p. Which is the nearest to -4? (a) 3 (b) 0.2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-15)\/(-90) + (-2 - 175\/(-30)). Let i = 6 + -4. Which is the closest to 0.1? (a) i (b) h (c) 0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50162 divided by -1?\nAnswer: -50162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 AM and 1:11 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14557532?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*v = 5*v + 132 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixteenth of a millennium?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least 230\/12509?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1377347 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (-112)\/(-5) - (-12)\/20 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -391923939.000406 + 391924345. Let v = 9.75 + 396.25. Let d = v - m. Round d to 4 decimal places.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60931 to the power of 1\/3, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, s: 1, m: 3, u: 2}. What is prob of picking 1 m and 1 a?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ywqqyqqqqyqi. What is prob of sequence yqw?\nAnswer: 7\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -222\/91 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 183093637 to the power of 1\/4, to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22 and 6776634502?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + l + 16 = 0, -l + 13 = 3*k. Suppose 5*n - 32 = k*w, 0 = 5*n - 2*w + 7*w. Solve 2*f + n = -0*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64\/(-72)*6\/8.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 41*a**4 + 3*a**3 + 2*a**2 + 913*a + 2 wrt a?\nAnswer: 492*a**2 + 18*a + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1575 - 1573. Which is the closest to -2\/5? (a) -0.338 (b) 2\/11 (c) -1\/5 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**3 - 16*d**2 - 15*d + 15. Suppose -15*l = -12 + 237. Calculate i(l).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*v = 15*v + 18, -67 = -a - 4*v. Solve 0 = 34*r - a*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91981 is divided by 557?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/32 and 24\/23.\nAnswer: 736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1433 - 1450. Let v(b) = -b**3 - 17*b**2 + 10*b - 29. Let o(q) = -q**3 - 17*q**2 + 9*q - 28. Let m(t) = -4*o(t) + 3*v(t). Is m(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 300 = 13*s - 0*s + 2*s for s.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 - 3\/(285\/(-45) - -6)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 + 4*w**2 + 5*w + 3. Let c be d(5). Suppose j = -c*j + 32. Suppose 0 = -j*q + 9*q. Solve -9 = -3*k - q*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 - -21. Round j to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of -x**5\/10 - 29*x**4\/12 - 8*x**3\/3 - x**2 + 725*x. Determine h(-14).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of h**4\/6 + 25*h**3\/6 - 65*h**2\/2 - 14*h + 7. What is the units digit of k(20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(4*sqrt(208)*-1 - (sqrt(208) + 0 + -2) - (sqrt(208) - (sqrt(208) - 1*sqrt(208))*6 - (sqrt(208) + 2 + sqrt(208))*-4))**2*6.\nAnswer: -1224120 - 20160*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/1027296 and 69\/532?\nAnswer: 136630368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1071097 to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 277898837 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 55.298 - 55.2. Which is greater: -14 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*w**4 + w**4 - 3*w**4)*(0 + 4 - 3) + 34*w**4 + 13 - 9 - 1 to the form n + c*w**4 + o*w**2 + k*w**3 + u*w and give c.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 120118.97868.\nAnswer: 120117.97868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.3 from -8997.\nAnswer: -8997.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -4*r**2 - r. Let z be f(1). Let h(i) = -i + 13. Let m = 43 + -30. Let g be h(m). Put 3, z, g in decreasing order.\nAnswer: 3, g, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/17, 4, -1?\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -2.8.\nAnswer: -11.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 8, 11, 16?\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -12*n. Let d(j) = 4*j**2 - 243167*j. What is y(d(o))?\nAnswer: -48*o**2 + 2918004*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jzzzkmzmzmkkzszk. What is prob of picking 1 m, 1 k, 1 j, and 1 z?\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -8*i**2 + 5*i + 14. Let v = 13 + -18. Let q(s) = s - 1. Let f(x) = v*q(x) + m(x). Differentiate f(d) wrt d.\nAnswer: -16*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 3*f + 580 = 0, 4*f + 0 = -20. Which is the biggest value? (a) x (b) 0.04 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 931\/(-1235) + (-2)\/(-13)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 180 - 184. Sort -2, 3, z, -3 in decreasing order.\nAnswer: 3, -2, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -677 + 674.19. Let d = v - -148.81. Let p = d - 145.999893. What is p rounded to five dps?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vrtv when four letters picked without replacement from ttvvvtatrtvtvvavtt?\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -2437\nAnswer: 2\/2437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*z + 3*v = -0*v + 32, -2*v + 3*v = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 8*t = n + 10, -4 = 2*t - 2*n for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16399\/780 + -322\/15. Calculate the common denominator of g and -37\/22.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 2*s - 8 = -1, 4 = 2*c + s. Let z = c - 1. Suppose 5*k - z*y = -5*y + 539, -537 = -5*k - 4*y. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in 2\/9, -3, -76414?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22 - 8. Let r = -14.00009 + u. Round r to 4 decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*j**2 - 21891528*j + 21891528*j.\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 5*h - 33. Suppose -h*y = 115 - 25. Does 13 divide ((-6)\/(-1))\/((-4)\/y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*b**4*z**2 + 5*b**4 + 2*b**3*z**2 - b**2*z**2 + 2*b*z**2 + 23*z wrt b.\nAnswer: 144*b*z**2 + 120*b + 12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 3*n = 150, 7*s - 3*n - 66 = 4*s. Calculate the greatest common divisor of 27 and s.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - (-90 - (-1 + -12 + (36 - (-27 + 58)))).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2975, -5940, -8905, -11870, -14835, -17800?\nAnswer: -20765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*-1 - 55\/(-65). Let r be (-385)\/140 + 1\/((-1)\/(-2)). Which is the closest to r? (a) -2 (b) f (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 - 24. Let g be 8\/6 - (-15262)\/i. Let t be 3\/4*(-104)\/g. What is the nearest to -0.1 in 0.4, t, -0.5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-2 - 5*-4)*-3\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2384028, 4768055, 7152084, 9536115, 11920148?\n\"Answer: n**2 + 2384024*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 3 - 1 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a40d + 9?\nAnswer: a418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00469545 rounded to 4 dps?\nAnswer: 0.0047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a millennium in months?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14781*t**2 + t**3 - 14877*t**2 + 29509*t**2.\nAnswer: t**3 - 149*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2. Let m be 8\/(-10) - (-8)\/10. Let t(x) be the second derivative of 0*x**3 + 0 + 1\/6*x**4 + 2*x + m*x**2. Give o(t(j)).\nAnswer: 4*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 - 16*h**2 + 6*h - 18. What is the units digit of l(16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 - 7*m**2 + 30*m + 6. Let v be y(-10). Let b(u) = 21*u - 28. What is the tens digit of b(v)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7948652, 7948430, 7948208, 7947986?\nAnswer: 7947764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 - 9*p**2 + 8*p. Let h(m) = -m**2 + m. Let l(j) = 18*h(j) - 2*v(j). Find the second derivative of l(d) wrt d.\nAnswer: -12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of -t**4\/6 + t. Suppose 4*m - 2*u = 1564, -4*m + 1556 = u + u. Let i(k) = 390 - m - 2*k**2. What is v(i(c))?\nAnswer: -8*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -62346, -0.22, -3 in decreasing order.\nAnswer: -0.22, -3, -62346","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*f + 52698030*f**2 - 52698030*f**2 + 355*f**3 + 2*f.\nAnswer: 355*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = n + 2363, -4*g - 4*n - 5900 = -9*g. Let h be (6\/(-8))\/(-3) + 4440\/g. Solve -f - h = c, 6*f - 5*f = -4*c - 16 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*l + 5*l - 9 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 - 33. Let g = j + 16. Solve -2*l - 4 = g, l + 2*l + 22 = 4*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/863680 and 67\/14358680?\nAnswer: 114869440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 20 - 2)*(0*l - 3*l + 0*l).\nAnswer: 51*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -73, -101, -129?\n\"Answer: -28*j - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/(-15) - 28\/(-10). Suppose -2*g - p*g - 5*o + 20 = 0, -20 = -5*g + o. Differentiate -x**3 + 0*x**3 - 2 + g*x**3 wrt x.\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23413*f - 655156 + 1138214 = -867046 - 1038022 for f.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 34*p - 1. Let d be j(8). Let k = -267 + d. Solve -k*n + n + 12 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-6)\/(w\/w**(-7\/3))*(w\/(w\/w**(-1\/4))*w)**(-4\/15) assuming w is positive.\nAnswer: w**(-143\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of -i**6\/360 - 19*i**5\/120 - 23*i**3\/3 - 85. Let v(f) be the third derivative of j(f). Let g(q) = -2*q**2. Give v(g(d)).\nAnswer: -4*d**4 + 38*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 7\/16 of a week?\nAnswer: 4410","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1864*f**4 - 11*f**3 - 54078*f**2 wrt f.\nAnswer: -44736*f - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 3 = 5. What is w in -3*w**4 + 80*w**3 - 43*w**3 + 3*w**m - 37*w**3 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 113*v + 58*v - 8*v + 18*v + 0.\nAnswer: 181*v + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of -q**8\/560 + q**6\/100 - q**4\/40 - 7*q**2\/2 - 15*q. Let c(p) be the first derivative of u(p). Let c(z) = 0. Calculate z.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**2 + 2*o**2 - o**2 - 2 - 1 - 6*o**2.\nAnswer: -3*o**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + -1. Let h = i - -6.11. Let o = 2.11 - h. Put 0.2, o, 0.4 in decreasing order.\nAnswer: o, 0.4, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8993830 to the power of 1\/3, to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 - -8. Suppose 4*v = -w*v + 56. 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: Let u(f) = 44*f**2 + 6*f. Let l(v) = 1805*v**2 + 247*v. What is -6*l(p) + 247*u(p)?\nAnswer: 38*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56\/(-14 - -22) + (6099\/114)\/((-458)\/60).\nAnswer: -2\/229","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-16) + (-474)\/8216?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 14260 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 26212245 and 47182041.\nAnswer: 235910205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 12 - 13. Let w(f) = t - 16*f - 2 + 1 - 7*f. Is w(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -223, 46, 2\/5?\nAnswer: -223","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 8\/5, -145, 0.1, -23, 4, 0 in decreasing order.\nAnswer: 9, 4, 8\/5, 0.1, 0, -23, -145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hheeh. Give prob of picking 2 h.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 9400400083?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13525 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 524 is divided by 44?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 5:15 AM?\nAnswer: 8:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*s + 36 + 93 = 19*s. Sort -5, s, -34, 2 in increasing order.\nAnswer: -34, -5, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*x**2 + 44*x**4 - 3 - 2*x**3 - x**2 + 40*x**4 - 82*x**4 to c + u*x**2 + z*x + g*x**3 + b*x**4 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*a**4 + 62350*a**3 + 287052 wrt a?\nAnswer: -8*a**3 + 187050*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -0.12, 1\/4, 0.02, 2 in decreasing order.\nAnswer: 2, 1\/4, 0.02, -0.12, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2010000 + 2?\nAnswer: -2002221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1141 to the power of 1\/2, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 26*g**3 + 2*g**2 - 4*g + 3. Let p be s(2). Suppose -44*m = -21*m - 7360. Let t = m - p. What is the remainder when t is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = t - 1, -4*a + 4*t = -0*a + 4 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 6 = 4*z. Let u be (-7 - -15)*z\/2. Let b = u - -6. Solve m + 1 + b = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25461 take away -0.018?\nAnswer: -25460.982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 12, 0 = -3*u + 11*v - 13*v + 88. Calculate the smallest common multiple of 208 and u.\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -43*i - 1. Does 14 divide z(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.018 in -3, 0.4, 0, 31?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + q + 1, 7 = -3*x - 18*q + 14*q. Calculate the lowest common multiple of x and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -33 - -73. Let b = o - 16. What is the units digit of (-6)\/4 + 213*4\/b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72337*l = 72371*l - 68 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 v when two letters picked without replacement from {w: 2, v: 1, n: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -2*o**3\/19 - 538*o**2\/19 - 2652*o\/19 - 3168\/19 = 0.\nAnswer: -264, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2223092 minutes in milliseconds?\nAnswer: 13338.552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 3*s = -2*y + 12, 0 = 4*s + 5*y - 24. Let m(p) = p**3 - 4*p**2 - 4*p - 2. Does 12 divide m(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.29 - -0.22. Which is the second biggest value? (a) p (b) -4 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 19 = -2*i + 3*d, 0 = 2*d + 2. Let v = i + 14. Solve 0 = 5*c + 5, v*c - 2 = 3*g - 9 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 AM and 7:59 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 33139 divided by 178\nAnswer: 33139\/178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1148919 and 0.092.\nAnswer: 1148919.092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 286 + 293 + 286 + 30936*j - 865 to q + x*j and give x.\nAnswer: 30936","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9497 - 761. Does 14 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -120998*d + 7. Let c be g(6). Let x = c + 1052309. Let f = x + -209328. What is f rounded to the nearest ten thousand?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 5 + 15 + (-1 + 3 - 3)*(1 + 1 - 3) + 3 - 4 + 2)*(3*m - m - 3*m).\nAnswer: -8*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + -3)*(-1*1)\/(-5). What is the closest to f in 5, -1, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 241 (b) -143 (c) 2\/19 (d) -1 (e) -1\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s**4 + 1434*s**3 + 172791*s**2 + 341292*s + 169932 = 0. Calculate s.\nAnswer: -238, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -47 (base 11) to base 5.\nAnswer: -201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 PM and 11:42 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -5*q + q. Suppose -450 = 9*a - q*a. Let d = 24 - 14. What is the highest common divisor of d and a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-9)\/(-6)*(-8)\/(-12). Let i(w) = w**2 - w - 1. Let l(a) be the second derivative of 5*a**4\/12 - a**3\/2 - 3*a**2 + 1341*a. Determine z*l(x) - 4*i(x).\nAnswer: x**2 + x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or -3\/3379852?\nAnswer: -3\/3379852","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/267, 131, -0.98?\nAnswer: 131","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 75b7b (base 15) in base 10?\nAnswer: 373841","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69157?\nAnswer: 11, 6287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77572 divided by -43.\nAnswer: -1804","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 24\/70*(42\/12 + 0)\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -102.0619 times -4\nAnswer: 408.2476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6\/913 - 86771\/5478. Find the common denominator of -3*4\/(-6)*(-39)\/54 and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 385 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 1666*d**2 + 1686*d**2 - 3381*d**2. Let k(l) = 2*l**2. Determine k(b(s)).\nAnswer: 1682*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-4))\/((1467\/(-326))\/((-27)\/(-18))).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/55, -40, 5, -7 in descending order.\nAnswer: 5, 2\/55, -7, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 14*d - 290 = 0. Let j = 111 + d. Calculate the highest common factor of j and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 185, 212, 443, 980, 1925, 3380?\nAnswer: 5447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/9 (b) -2\/5 (c) -5854 (d) 3\/7 (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 117 divide 9659203?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 5*f = 10 - 3, 4*f = -z + 8. Suppose 6*s**4 + 8 - 4*s**5 - 16*s**2 + z*s + 10*s**4 - 8 - 8*s**3 = 0. What is s?\nAnswer: -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + 1231514?\nAnswer: 1231513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 27*1*(-1 - 0). Let l = g + 208. Let p = l + -54. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22405783.\nAnswer: 22405783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 369 a factor of 122460030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/8030352 and 43\/45627?\nAnswer: 8030352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + -10. Let w(a) = a**2 + 3*a - 2. Let d be w(z). Is 1\/((-2)\/452*d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1342260 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 21\/1*(-36)\/(-252). Let j(f) = f**3 - 5*f - 1. Calculate j(h).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1872 and 180.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*b - 40 = 27*b - h, -44 = -2*b - 2*h for b.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 12*t + 25 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/(-10))\/((-309)\/(-1030))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7.5 in -2.3, 20, 11?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3023233 + 2?\nAnswer: 3023301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*y**2 + 2*y + y**2 - 9144534 + 9144533 + 303*y**3 as j + f*y**2 + o*y + i*y**3 and give f.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -25.3597 to one dp.\nAnswer: -25.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 PM and 4:31 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + 5 - 3) + -1 + 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -329, 4, 119, -1, 2 in ascending order.\nAnswer: -329, -5, -1, 2, 4, 119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/4)\/((-8)\/(-16) + -3).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9167 a factor of 894197286?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 42*v - 41*v. Let f be ((-16)\/v)\/(70\/15 - 5). Suppose -f*a = -5*a - 327. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40064 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 1 - 3 = 0. Let d be 3\/1 + (-6 - -6). Let q = d + 1. Sort 3, y, q in increasing order.\nAnswer: y, 3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7831 - 6583. Which is greater: 1246 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 80*b + b**3 - 40*b - 44*b + 4*b**2 - 6. Give a(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 76\/5 of a century?\nAnswer: 1520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1728 and 832.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 91451463 to the nearest integer?\nAnswer: 9563","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) -13.2282 (c) -336.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dy when two letters picked without replacement from {d: 6, z: 2, m: 1, s: 9, y: 1}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*f**4 + 5*f - 3*f**4 + 17*f + 2*f**2 - 2*f**3 to w + v*f + m*f**4 + o*f**3 + j*f**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j**4\/2 + 9*j**3 + 27*j**2\/2 - 6*j - 18 = 0. Calculate j.\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 670 and -5.\nAnswer: -3350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -1038.9*1.51\nAnswer: -1568.739","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1915879076?\nAnswer: 2, 478969769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1697, -1685, -1669, -1649, -1625, -1597, -1565?\n\"Answer: 2*q**2 + 6*q - 1705","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 18*k**2 + 33*k - 55. Is n(-32) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 362 and 12096411.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(1\/4)\/r**(-2\/11))\/(r**(-3\/2)\/((r**(-5)*r)\/r)) assuming r is positive.\nAnswer: r**(-135\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -25602.697966 rounded to one dp?\nAnswer: -25602.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 28 = -2*h - r, -2*r + 2 = h. Let w(i) = 4*i**2 + 7*i + 2. Let x(d) = 3*d**2 + 6*d + 2. Let z be -5 + (-4)\/(-2) - 2. Determine h*x(s) + z*w(s).\nAnswer: -2*s**2 + s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*k + 0 + 0)*(0 - 1 + 2) - 5*k - 1 + 9 + 1 in the form f*k + u and give u.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3 - 39\/(-15))*-5. Suppose -t*p = 5*a + 3929 - 19849, -7969 = -p + 2*a. Is p\/21 + 4\/(-14) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 444711480?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 7:31 PM?\nAnswer: 4:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.04, 0.5, 7 in ascending order.\nAnswer: 0.04, 0.5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17789555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1102450.\nAnswer: 2, 5, 17, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/25 - 8\/10?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*a**2*c + 21*a**2 - 2193*a + c + 268659 wrt a?\nAnswer: -4*a*c + 42*a - 2193","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -44 divided by 77020\nAnswer: -11\/19255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 89fb5 (base 16) in base 11?\nAnswer: 356694","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -166*a + 5340 = -123*a - 2400. Calculate the highest common factor of a and 3735.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -167, 1, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 446655 to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (2 + 1 + -1 - 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78) + sqrt(78)*2*2 + sqrt(78) + (6*sqrt(78)*1 - sqrt(78)))*-5)\/(sqrt(864)*1 + sqrt(3456)*1).\nAnswer: -55*sqrt(13)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 118 + 967. Suppose a = 3*w - 40. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5482777 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -175 + 174. Let v be (1 + 0 + -1)*j. Solve l + l + i + 3 = v, -i + 6 = -l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -2352\/35729?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, f: 1, q: 1, b: 3, u: 1, g: 5}. Give prob of sequence bub.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of 2*r**5\/5 + r**2. Let d(z) = 2*z**2 + 91*z + 450. Let c be d(-65). Let k(w) = -c*w + 2*w**2 + 2985*w. Calculate k(s(p)).\nAnswer: 1152*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*15.86.\nAnswer: -79.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12064 and -4.\nAnswer: 48256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 3*u**2 - 160*u + 487. Give y(49).\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1769 is divided by 175?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 30503176 to the power of 1\/2, to the nearest integer?\nAnswer: 5523","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -3, 0.3, -212.8, 17?\nAnswer: -212.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -27655960 divided by 5?\nAnswer: -5531192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {z: 1, a: 2, d: 1, r: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-14)*315\/(-225)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 228 and 513.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes before 7:05 PM?\nAnswer: 12:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 4, m: 10}. Give prob of picking 2 m and 1 r.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 0)*(-2*q**4 + 0*q**4 + 0*q**4) + 5*q**4 - 6*q**4 + 2*q**4 + 33*q**4 - 46*q**4 - 51*q**4.\nAnswer: -65*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert a3eea (base 15) to base 16.\nAnswer: 7ee41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1974 is divided by 1620.\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 9*v**2 - 17*v - 25. Let n(d) = -d**2 - d. Let t(j) = 6*n(j) + u(j). What is the tens digit of t(11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -43662528 less than -43662528?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 - (2\/(-2) - 2). Suppose 5*s = 2*w - 2 + 1, 5*s + 9 = -2*w. Sort w, 5, d in ascending order.\nAnswer: w, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.1947 + 0.1947. What is the second smallest value in 0.4, r, -18019?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 2*f = 108, -48 = -0*t + t - 4*f. Let r be t\/(-10)*(-50)\/(-4). Suppose 0 = -0*m - 5*m + r. List the prime factors of m.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -b392 + -113?\nAnswer: -b4a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 558 = -22*p - p, -3*t = -5*p - t + 126 for p.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-11)\/((-66)\/24) - (1 + 0). Suppose -3*h = -6*m + 2*m - 52, 4*h - 86 = -3*m. Solve k + w*k = -h for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 575*h + 138. Let o(l) = 17*l + 4. Let r(t) = -2*k(t) + 69*o(t). Let c(n) = 562*n - 1125*n + 566*n. Calculate r(c(m)).\nAnswer: 69*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*r - 178 = 10*r - 3278. What is the remainder when 932 is divided by r?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 30 - -14. Suppose 11*r - l = 44. Solve -r = -4*f + 8*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1627497901 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -158*j*w**5 - 2*j - 3*t*w**5 + 56*t*w**2 - 2*t*w wrt w?\nAnswer: -9480*j*w**2 - 180*t*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -11*v - 18. Suppose -22 + 40 = -2*x. Is 11 a factor of r(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/207972 and -71\/12879?\nAnswer: 5615244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5119490536*o**2 - 5*o**3 - 5119490536*o**2.\nAnswer: -5*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1796159527 a multiple of 124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 22848 + -3?\nAnswer: 22845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (47\/(-49726)*23)\/((-1)\/(-2)).\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 3512.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 240 - 108. What is the greatest common factor of c and 99?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 4*s + 14. Let r be (-37)\/(-7) - (-2)\/s. Let j be (3\/r)\/(7\/35). Solve 0 + 3 = -j*q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -283*h + 217*h - 369*h - 97*h.\nAnswer: -532*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11445 and 0.4?\nAnswer: 4578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -4715.8 to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*r - 21*r = 53 + 277. Solve 6*g - r = -29 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of v**3\/3 + 3*v**2\/2 + 3*v + 1. Suppose 13 = 2*d + 1. Suppose -w + 3 - d = 0. Give z(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -182*c**3 + 195*c**3 + 0*c + 0*c.\nAnswer: 13*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 126 = 5*g, 2 - 11 = 3*h. Is 7 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in w**2\/4 + 2559*w\/2 + 6548481\/4 = 0?\nAnswer: -2559","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the first derivative of -772*l**5\/5 - l**4\/2 + 1311*l - 419. What is the derivative of z(s) wrt s?\nAnswer: -3088*s**3 - 6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 285\/(-19)*1*(-4)\/(-10)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 129 divide 23467809?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -26740 (base 14) in base 5?\nAnswer: -11012344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 132, -2, -5, 0.\nAnswer: -5, -2, 0, 132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 5, t: 3, c: 6, h: 3, s: 1, g: 2}. What is prob of picking 2 w, 1 s, and 1 t?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 2*j - 5 = -2*j, 25 = 5*p + 3*j for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -93 - -101. Let v(r) = r**2 - r - 56. Let a be v(h). Let z be 2*2\/(-4) - (4 + -7). Solve a*g = -z*g + 8 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 38, 88, 138, 188?\n\"Answer: 50*o - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of -17\/5*h**5 + 0*h**3 - 4*h**2 + 0*h + 16 + 0*h**4. What is the second derivative of c(v) wrt v?\nAnswer: -204*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(2 - 15\/10). Let v be 4\/t - ((-2 - -4) + -1). Let f be (-42)\/8 + 2\/8. Put v, f, -1 in ascending order.\nAnswer: f, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.4 in 1.4, -0.3, -5, -0.064?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9285744 divided by 72?\nAnswer: 386906\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 22165121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 5 - 2*k - 3*k + 4*k + 2*k. Let d be f(-6). Which is smaller: -2\/9 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 29*l - 547. Let m be t(19). Solve 0 = 73*r - 74*r + m*n - 4, -4 = -2*n for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/((-2)\/((-50)\/(-5))). Let i = w - -10. Suppose 2*p = 2*m - 63 + i, -m = p - 28. What is the highest common factor of 65 and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 7:14 AM?\nAnswer: 12:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/((-6)\/8 + 1). Let m = c + -6. Suppose m*f - v = 11, -v + 0 + 1 = 0. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 264494?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/18 and 6 - 12 - (-6 - 222\/(-4104)).\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/209 and (-23)\/(-69)*(-18)\/(-2508).\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17\/5 - -19\/5. Let 0*m**2 + 2\/5*m**4 - y - 4\/5*m + 4\/5*m**3 = 0. What is m?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 9094 (c) 0.2 (d) -0.026\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xna when three letters picked without replacement from {n: 6, a: 1, y: 1, z: 3, x: 4}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 295 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00064917144 rounded to four decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17410.\nAnswer: 2, 5, 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 247*y**2 + 1 - 165*y**2 - 80*y**2 - 1.\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3*-2734.3\nAnswer: -8202.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 - 31*a**2 + 159*a + 2874. Determine p(-7).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2 - 1)*(h - 4 + 3 + h) to r*h + k and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 - 2*j**2 - 2*j - 1. Let n be x(-2). Let i(h) = 3*h**3 - 3*h - 3 + 6*h - h**2 + 2 - 4*h**n. Let p be i(1). Is p equal to 6\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 8:19 AM?\nAnswer: 3:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 12:22 AM?\nAnswer: 10:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 4*s - 832 = 0. Suppose 52 = -3*g + s. Find the common denominator of -1 + g\/(-3) + 2 and -62\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 827 is divided by 104?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -180564.2 and -0.3?\nAnswer: 180563.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - y + 2)*(-y**2 + y**2 + y**2) + (-3 + 7 - 8*y**2 - 5)*(-106*y + 74*y + 118*y) to the form w*y + r*y**3 + q*y**2 + l and give w.\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29577582 is divided by 218?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 844b07 (base 12) in base 5?\nAnswer: 1013111403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/5, -1.6033, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j = 5*x + 10, 3*j - 227 + 233 = 3*x for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3419852863 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**4 - 4*h**4 + h**4)*(86 + 100*h + 0 + 44 + 97 - 107).\nAnswer: -200*h**5 - 240*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 2913*j**2 - 2930*j**2 + 5886*j**2.\nAnswer: 43*j**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -37601 * -0.4\nAnswer: 15040.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + k = -36, -51 = 16*m - 4*k + 169 for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -758*b + 758*b - 23*b**2.\nAnswer: -23*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 55137 at most 2\/23?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.3, -0.2, 5, 2\/5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mrm when three letters picked without replacement from {m: 19, r: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 157\/(-16) + (26 - (4 + (25 - 13)))\nAnswer: 3\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 2*z - z - 19, -4*y + 17 = 3*z. Suppose 4*q - 3 = -15. Let k(i) = 3*i**2 - i - 3. Let g be k(q). Solve 2 - g = y*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 + 6*s**2 + 5*s - 3. Let g(c) = c**3 - 4*c**2 + c + 4. Let f be g(3). Let k be f + -1 - -1 - -8. Is q(k) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 108535 + -61196. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 193?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 3, -2 in increasing order.\nAnswer: -8, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - 82.2192.\nAnswer: -87.2192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.005 in 1, 59, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7687*v**4 + 3161*v**2 + v + 2?\nAnswer: -184488*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24305714?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 6*n - 623 = 3*s, -3*n = 15. Let w = s + 219. Is 3 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of k**4\/90 + k**3\/15 + 2*k**2\/15 - 25*k - 1. Determine r, given that p(r) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -4*n + 3*n - 167, -3*n + 269 = 5*g. Let b = -51 + g. Suppose -2*t = -j - b, -5*t + 7 = -2*j - 2. Solve 5*p = 6 - t for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 135 and 414.\nAnswer: 6210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -201 + 203122?\nAnswer: 202421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x - 1. Let p(r) = -4*r. Give p(u) + 3*q(u).\nAnswer: -u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 AM and 11:58 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 3. Suppose 4*c + 4 = 3*d, 4*c - m*d = -d - 4. Which is greater: 1 or c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 3*h + 12 = 0, 0 = c - 5*c - 3*h + 3. What is the second biggest value in 2\/15, 21, c, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -42*f - 48. What is the smallest common multiple of 9 and a(-5)?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13961345?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum 7726 and -131.6.\nAnswer: 7594.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.7, -11805, -3\/7?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -132 + -3006?\nAnswer: -3141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110110010011 - -101?\nAnswer: 1110110011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130)\/(sqrt(810) - 3*sqrt(810)) + (-2 + sqrt(52))*5)**2*1.\nAnswer: -1790*sqrt(13)\/9 + 448933\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 272*s = 275*s + u + 18107396, 2*s = -u - 12071596. Round s to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-178001671004)\/2761 + (-1)\/(11\/(-4)). What is d rounded to the nearest 1000000?\nAnswer: -64000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-24*u**4 - 25 + 25 + 20*u**4)*((-4 + 0 + 2)*(-1 - 1 + 3) + 1 + 1 - 4 - 4 + 3 + 3 - 10 + 3 - 3).\nAnswer: 48*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.02 (b) -421414 (c) 3\/7 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 - k. Let v(g) be the second derivative of -2*g**5\/5 + g**3\/3 + g - 58. Let t(l) = -l**2 + 3*l - 1. Let p be t(3). What is p*v(u) - 3*r(u)?\nAnswer: 5*u**3 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4241?\nAnswer: 4241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24096 + 24115. Solve 0 = h*s - 34*s - 120 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (16\/540)\/(3\/9). Let g = d - -2\/15. Suppose 3*c = -2*c. What is the second smallest value in -0.3, g, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 33 - 21. What is the remainder when 20 is divided by z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (1 + 2*sqrt(1300)*6 - ((0 + sqrt(208) - sqrt(13))*2 + -2)))**2.\nAnswer: 684*sqrt(13) + 168957","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 12151717 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 180 and 90.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/16919828 and 59\/544?\nAnswer: 135358624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1728 to the power of 1\/2, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -13.6639, 0.2, -2 in decreasing order.\nAnswer: 0.3, 0.2, -2, -13.6639","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 32921812 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9939\/1460 + 48\/73. Calculate the common denominator of 117\/280 and v.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) -6\/5 (c) -2 (d) 1208888 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.0185+0.32\nAnswer: 0.3385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2807329.59 rounded to the nearest one thousand?\nAnswer: 2807000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -w - 116, 5*x - 4*x + 4*w - 46 = 0. Suppose -1252648 - 734162 = -x*r. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1123?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1297210 and 105850?\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 2705*x = 2712*x + 1, -x = -3*o - 9 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 13) to base 3\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of l**4\/12 - 7*l**3\/6 - 101*l**2. Give w(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112121122 (base 3) in base 11?\nAnswer: 8007","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 276 + 300 = 6*r. Is r a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -1789*g + 7476. Let c be t(4). What is the highest common divisor of 15 and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/36 and 25\/16920294?\nAnswer: 101521764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7147204 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*a - 329011 = 184749. What is a rounded to the nearest 1000?\nAnswer: 27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5942944790.\nAnswer: 2, 5, 1297, 458207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes after 2:27 AM?\nAnswer: 1:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 4*i - 59, -4*s - 27 = -0*s - 5*i. Let n(p) = p**3 + 13*p**2 - p - 8. Let y be n(s). Let w(l) = l + 2. Determine w(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 237245.61s to minutes.\nAnswer: 3954.0935","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 36\/7 and 83\/1142.\nAnswer: 7994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, 2, -995811 in decreasing order.\nAnswer: 2, -1\/6, -995811","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 + 11)*4\/(-3). Let l be (j\/(-14))\/(2\/(-14)). Let o = l + 27. Does 6 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 54 and 378.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -3 (c) -2 (d) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -24? (a) 0.3 (b) -2 (c) -506 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 925697 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 202 + -144. Is 29 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 4*i + 2. Let w(x) = x**3 + 13*x**2 + 35*x - 13. Let q be w(-9). Give y(q).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4802 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of t**5\/10 - 5*t**4\/24 - t**3\/6 + 7*t**2. Let i(v) = 9*v**2 - 14*v - 2 + 2*v**2 + 5*v. Calculate -4*i(n) + 7*u(n).\nAnswer: -2*n**2 + n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -514 + 44 = -47*n. Calculate the highest common divisor of n and 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -149479, -149477, -149471, -149461, -149447?\n\"Answer: 2*q**2 - 4*q - 149477","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35111 (base 7) to base 14.\nAnswer: 33b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(11)*3 - (2 + sqrt(22)\/sqrt(2)).\nAnswer: -7*sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -223*j + 228*j + 4*y = 5, 396*j - 392*j - 3*y = 35 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 5*i - 149 = 0, 12*t - 227 = 9*t + 4*i. Factor -5*n - 1 - 5*n**2 + 24 + t.\nAnswer: -5*(n - 4)*(n + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from roaoaqaomoaaao. What is prob of sequence qo?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8\/13, 0, 0.1 in descending order.\nAnswer: 0.1, 0, -8\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -634, -2476, -5616, -10072, -15862, -23004?\n\"Answer: -3*j**3 - 631*j**2 + 72*j - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of 0 - 1\/120*u**5 + 0*u**4 + 0*u**2 + u**3 + 1\/720*u**6 + 19*u. Let c(n) be the second derivative of l(n). Factor c(m).\nAnswer: m*(m - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -89*y**3 - 8*y**2 - 5*y + 2. Is z(-3) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**3 + 11*w**2 + 11*w - 6. Let j be k(-8). Let y = j - 34. What are the prime factors of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 59*u**2 - 3*u + 28. Let f be r(-11). Round f to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 16*z + 21. Let k(u) be the first derivative of -3*u**2\/2 - 4*u - 86. Determine 11*k(a) + 2*n(a).\nAnswer: -a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -219 in 0.2, 4, 10, 18, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 13) to base 8\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -5*a - 42. Let z(f) = 25*f + 209. Let x(q) = -11*i(q) - 2*z(q). Calculate the remainder when x(16) is divided by 42.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 - -2 - 1*10. What is the remainder when w\/(-25) + 566\/10 is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 8202 + 27775 - 6927 = 1164*l for l.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert a03 (base 11) to base 8.\nAnswer: 2275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3579477 = 5*a + 3*m + 8175517, -3*a - 7053002 = -m. Round a to the nearest 100000.\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/6 + 12\/(144\/(-4)). Sort 1, -9, -2, h in increasing order.\nAnswer: -9, -2, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 276 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8975869 by -2207.\nAnswer: -4067","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6.5 - 1.5. Put c, -0.4, -2 in increasing order.\nAnswer: -2, -0.4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 + 13*y**2 - 355*y - 4076. Give s(-11).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 + 177. What is i(-7)?\nAnswer: -166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 37727*k**2*n**4 + 2567*k**2*n - 26*n**2 - 2 wrt n?\nAnswer: 905448*k**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-760)\/(-114) + 220\/(-33)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.8 in 0.2, -64\/5, -3, -1\/3, 2\/23?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 414809283.\nAnswer: 3, 7, 823, 24001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 902163.2 years?\nAnswer: 902.1632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/7930 and -1\/143.\nAnswer: 87230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 2*w**2 + 0)*(-2*w**2 - w + w).\nAnswer: -4*w**4 + 4*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 69871 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 10 = -u, -5*u = -2*l - 6 - 10. Suppose 16*p - 18*p = -l*f + 156, 392 = 5*f - 4*p. Is 8 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5358 (base 10) to base 15\nAnswer: 18c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/((t*t**(-5)\/t)\/t))\/(t*t**(-1)*t)*t**(-4\/3)*t*t**(-3\/8))**46 assuming t is positive.\nAnswer: t**(2921\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 6*d**5\/5 + 3*d**4 - 6*d**2 - 6*d - 9\/5 = 0.\nAnswer: -1, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - -32) + 39674\/(-1673)?\nAnswer: -26\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:07 PM and 9:19 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 5*b + 40. Give y(-12).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 685490?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -23.96, 0.3, -0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10463320 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 84 - 98. Let x(u) = 2*u - 14. Let z be x(j). Suppose -3*w = -3*k - 6, 4*k - 2*w + 2 - 4 = z. Solve 6*o = k*o + 3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1729 and 2791698.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 11*v - 62. Let b be 1\/(5\/95) - -5. What are the prime factors of c(b)?\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:44 AM and 12:47 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -9186*h + 2769. Does 8 divide z(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)*-1*-4*6)\/(sqrt(20)\/(1*sqrt(5)) + sqrt(8)\/(sqrt(2) + sqrt(8)\/sqrt(4))).\nAnswer: 16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) 56\/5 (c) -4 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**2 + 24540*t - 67306400.\nAnswer: 5*(t - 1960)*(t + 6868)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 435\/(-18)*(215\/50 + -4) and 149\/90?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(7623))\/((sqrt(324)\/sqrt(6))\/sqrt(6)).\nAnswer: 55*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*d**3 - 849*d**2 - 40158*d + 30591.\nAnswer: 3*(d - 103)*(d + 33)*(4*d - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of -55*d**4\/24 + 25*d**3\/6 + 8*d**2 + 5. Let i(a) = 9*a - 4. Calculate 25*i(l) + 4*s(l).\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 2, m: 2, y: 1, k: 3, u: 2, s: 2}. Give prob of sequence vsy.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 + 1 - (1454 - 1419)) + (-3 + -4 - 2)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-530)\/(-70) - 8)*2?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.07? (a) 0.01 (b) 0.1 (c) -7\/3 (d) -10582\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 - 7*k**2 - 7*k - 8. Let f be m(8). Let c = 1 - 3. What is the units digit of (-2 - (f - -26))\/c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13704 by -8.\nAnswer: -1713","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 2*r - 4. Determine m(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -9*j**2 - 138*j + 908. Give k(6).\nAnswer: -244","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 34*j - 24. Let s be i(1). Solve -15*x + 33 = -2*f - s*x, 13 = 3*f + 5*x for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4\/22*-2)\/((-1490)\/3278). Suppose -i - 3 = 2, 3*q + 3*i + 9 = 0. Determine o so that b*o**q + 8\/5 - 12\/5*o = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27776973 and 4662?\nAnswer: 777","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 d when three letters picked without replacement from edyyydkdddddddd.\nAnswer: 27\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a gram in milligrams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.86 + -3.7. Let b = i - 0.160007. Round b to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of -o**2\/2 + 4*o + 19. Let r(v) = 2*v - 9. Calculate -9*c(q) - 4*r(q).\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 701\/28 + 13799\/140. Let k = -123 + t. Find the common denominator of -17\/13 and k.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4947 - -1?\nAnswer: -4946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/2 of a litre in millilitres?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 9387?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/50 of a kilogram?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + -236334?\nAnswer: -236326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*n**3 - 2 - 3*n**2 - 63*n + 67*n + 4*n**2 - n**2 to j*n**3 + p + d*n + a*n**2 and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 3*s - 15. Let f(q) = 2*q - 8. Suppose -3*d = a - 23, 10*a - 5*a - 5*d - 35 = 0. Determine a*f(m) - 6*o(m).\nAnswer: 4*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 224896\/11 - 20445. What is the second biggest value in 0.4, 12, x, -0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000916 to 4 decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*v + 269 = -60 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + -4. Let t(u) = -u - 3. Let z be t(g). Suppose -z*k + 9*k - 30 = 0. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -129\nAnswer: -645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 + -26 - (0 - (4 + -26)) - -2?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (720\/2772)\/((-115)\/(-966)).\nAnswer: 24\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -55*a - 22 + 19*a + 13*a + 22*a. Let n(p) = 3*p + 4. Let f be n(-8). Let y be j(f). Which is smaller: -12\/19 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, -20\/5321, 338\/5?\nAnswer: 338\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 3*d - 28. Let u be y(10). Solve 2*i = 0, 4*p - u*i = -3*i for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-3)\/z)**(8\/5)*z**3\/z**(-4\/5) assuming z is positive.\nAnswer: z**(-13\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**3 - 103*r**2 + 182*r - 220. Is 10 a factor of b(-105)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**2\/5 + 168*u + 942848\/5.\nAnswer: -2*(u - 928)*(u + 508)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45\/42*((-1292)\/(-57) + -22).\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1208496 divided by 50354.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 539718 * 0.1.\nAnswer: 53971.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5805 = -7*b - 208*b. What is the greatest common divisor of b and 1971?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -x + 42. Let p be -1 + 2*((-63)\/(-2))\/x. Let r be 8\/28 + (-37)\/7. Sort r, p, 3.\nAnswer: r, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(4\/(-2)*2))\/((-575)\/100)?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 42364 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*o - a - 84, 11*o - 1706 = a - 1475 for o.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - 3) + 80\/5. Suppose 2 = 5*j - h. Put -1, 2, j in descending order.\nAnswer: j, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 662798 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -0*t - 3*t. Suppose -11 = -3*m - t*x, -2*m - m + 9 = 3*x. Does 3 divide 3 - (1 - (2 + m))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -3720*t - 34*t**3 - 7*t**2 - 38 + 3709*t + 33*t**3. Calculate j(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b8a (base 12) to base 9.\nAnswer: -4617","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -487609, -487607, -487605?\n\"Answer: 2*u - 487611","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -21960 divided by 5490?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.029059t?\nAnswer: 29059000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 268303 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, n: 4, o: 2, e: 1}. Give prob of picking 2 f and 1 e.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 537 + -312. Let n = f - 159. Let u = n + -66. Which is the nearest to u? (a) 2\/11 (b) -1\/6 (c) 1\/20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 22303 + -1045333?\nAnswer: -1023030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 155754197 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p**2 - 6*p. Let q(j) = -j**2 + 5*j + 1. Calculate -5*q(o) - 4*y(o).\nAnswer: -3*o**2 - o - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-15))\/((-6)\/(-27))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**1)**(6\/23)\/(r**(-2))**30 assuming r is positive.\nAnswer: r**(1386\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 219261 by -591.\nAnswer: -371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 5*k**2 - 5*k - 1. Let m(o) = -o**2. Let n(t) = 4*m(t) + v(t). Calculate n(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7)\/(-14) - 19\/(-2). Suppose 10*m = -2*m + 84. Suppose -3*x + 9 = 3*l, 2*x = l + m - 16. What is the greatest common divisor of l and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 7117, -0.1, -10, 0.2?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fofhihhuokuh. Give prob of picking 1 i, 2 o, and 1 h.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**4\/3 + 2591338*b**3 + 5036274472683*b**2.\nAnswer: b**2*(b + 3887007)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -93 + 91. Let n be v + 6 - (4 + -4). Let k = 2 - -1. Solve -k*h + n = -2*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 169, 124, 81, 40, 1, -36?\nAnswer: -71","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 36 + 12. Suppose 3*r - c = 5*i, 6*i - i - 32 = -2*r. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1156199901 to the power of 1\/3, to the nearest integer?\nAnswer: 1050","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 + 10 + -10 + (5 - (3 - 4)) + -5?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 5. Suppose v + 10 = 6*v. Determine p so that -v + 3*p**2 - 6*p**2 - 3*p + 2*p**g = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22 - 17. Suppose -3*l = 2*l - 295. Calculate the remainder when l is divided by (-45)\/(-75) - (-72)\/f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 479 divide 37872614?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c - 305. Let f(p) = 3421*p**2 - 1711*p**2 - 1709*p**2. Determine f(u(m)).\nAnswer: 4*m**2 - 1220*m + 93025","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 458332665*b**6 + 522830494*b**2 wrt b.\nAnswer: 54999919800*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0 (b) 123 (c) -0.1 (d) -1\/5 (e) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1619.15 - -1683.5. What is a rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h - 5*h - 51*h + 11*h + 14*h.\nAnswer: -30*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*z + 0 + 0)*(-205*z + 45 + 446*z - 222*z) in the form y*z**2 + b*z + d and give b.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((14 - 187\/22)\/11 - 6)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 + 38*x - 371. Determine i(8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -7, -4, 144 in ascending order.\nAnswer: -7, -4, 0, 144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0.34, -32069, 1, -4?\nAnswer: 0.34","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/16 of a millennium?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 14441 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2830, 2817, 2802, 2785, 2766?\n\"Answer: -d**2 - 10*d + 2841","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*1*sqrt(600)*-6)\/(sqrt(128)*1 + 5*(3*sqrt(8) + sqrt(8) + sqrt(8))).\nAnswer: 30*sqrt(3)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20020 + 1323201?\nAnswer: 2003221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10134330 + 3?\nAnswer: 10134333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 35*z - 101 - 319. Suppose z*g - 17364 = -6624. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 11\/(-22)*-4*(-4)\/(-1). What is the units digit of (-2)\/n + (-3 - 36348\/(-48))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000014633275 rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 2*q - 231. Let h = q + -98. Calculate the least common multiple of 1 and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -38*a + 37*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32, 32, 30, 26, 20, 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14*(-17)\/(833\/28).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-136 + 148)*(-1 + (-1)\/(-2)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -23*v - 319. Let k be t(-14). Solve 0 = 7*l - 6*l - k for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 3*d**3 - 3*d**2 + d - 2. Let b(u) = -u**2 + u - 1. Determine -a(v) + 2*b(v).\nAnswer: -3*v**3 + v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6764*j - 5599*j + 2 + 0 + (j - 1 + 1)*(5 - 2 + 1).\nAnswer: 1169*j + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*v + 12*w - 10*w + 10, 5*v + 4*w = -5 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18416 - 18416. Which is the closest to 1\/2? (a) r (b) 3\/16 (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 6*r - 5*r = 12905, -10323 = -4*q - r. Does 21 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 125 and 24875.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20008425?\nAnswer: 3, 5, 19, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 3*l = -189, 7*d + 4*l - 188 = 3*d. Is 12 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 718332337 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = 4*z, -2*z + 12 - 12 = -5*z - 3*j for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o + o - 2*o**2)*(-2*o + 0*o + 0*o) + 38*o**3 - 500*o + 500*o.\nAnswer: 42*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 91.91987 decades?\nAnswer: 11030.3844","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a\/(a*a\/a**(-1\/4)*a*a))*a*(a**2*a)\/a)\/(a*a**0)**(-6\/7)*((a\/(a**(-1\/7)*a))\/a**(1\/4))**(-22) assuming a is positive.\nAnswer: a**(265\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67627396?\nAnswer: 2, 163, 103723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 g when three letters picked without replacement from {e: 1, n: 1, o: 4, g: 2, z: 2}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*l = -42*l - 10. Solve 2*r - 24 = -4*j - l*r, -2*j + 3*r = 13 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 945*t - 948*t - 4*b + 567, 3*b - 184 = -t. What is the remainder when 2479 is divided by t?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-12) - (-2)\/(-4). Let g = 4199\/16 - 12565\/48. Sort q, -0.3, 5, g.\nAnswer: q, -0.3, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:45 PM and 6:46 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 29 + (2239 - 2245)\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence omih when four letters picked without replacement from mophprrrrrrrri?\nAnswer: 1\/24024","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*w - 439 = 1811 for w.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 77011720 and 80?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 65 = 5*u, 15*d - 2*u = 13*d - 22. Let c = 4 - 18. Which is bigger: c or d?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6100 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 4*q - 7 - 7 = 0, -5*q - 16 = -3*w. Find the third derivative of -2*r**4 + 14*r**2 + 13*r**4 + 11*r**2 - 4*r**w wrt r.\nAnswer: 264*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1027930000 rounded to the nearest 1000000?\nAnswer: 1028000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1553187 is divided by 1551468?\nAnswer: 1719","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 332 - 311. Suppose -100051 = -28*p + x*p. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 885137016?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -726 divided by -3?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -148 = 16*i + 140. Let h be ((-30)\/i)\/((2\/(-2))\/(-48)). Calculate the highest common factor of 80 and h.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/21*-4)\/((-4)\/(-6)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4737 divided by 298.\nAnswer: 4737\/298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-3)*m)**(-25))**(2\/9) assuming m is positive.\nAnswer: m**(100\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -4*k**2 - 3*k**3 - 6*k + 4*k**3 + 2 - k**2. Let u be p(6). Let w = u - 2. Solve -3*l - 2*l - 10 = w for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 35 = 2*r. Let d = r - 2. Solve -5*k + 2*l + d = -3*l, 0 = -l for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*r**2 - 684750*r + 39073546875 = 0. What is r?\nAnswer: 114125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cpc when three letters picked without replacement from {r: 1, c: 3, n: 5, s: 2, w: 1, p: 1}.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 154730*h + 3*h**2 - 154730*h + 12*h**2 - 3.\nAnswer: 15*h**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 3435 divide 39945615?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99321*h**2\/5 + 6952472*h\/5 + 28 = 0. What is h?\nAnswer: -70, -2\/99321","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 - 5*f + 24. Let p be z(-6). Let w = p + -94. Let k = 1 + -1.5. Which is the nearest to -1? (a) k (b) w (c) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pn when two letters picked without replacement from {p: 3, d: 3, r: 4, f: 1, n: 8}.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 332074 - 332053. Suppose 100 = 3*n - 11. What is the remainder when n is divided by a?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.23 + -0.08. Let s = k + -0.159. Round s to three decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(1331) + 1 + 3)**2.\nAnswer: 110*sqrt(11) + 1356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 945457.404 to the nearest 10.\nAnswer: 945460","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) - sqrt(17)*-1)*3*-1 - (3 + sqrt(170)\/(sqrt(40)\/sqrt(4))))**2*-6.\nAnswer: -5052 - 252*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n - 7*n = -6. Let g(k) = k**2 - k - 43. Let y be g(-6). Let a(b) = 5*b - 1. Let z be a(1). Sort -2, z, y, n.\nAnswer: n, -2, y, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -8, 2, -5, 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44697145?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3422 divided by 5\nAnswer: 3422\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 193, 3, -0.5, -184, 0.3, -2\/27 in ascending order.\nAnswer: -184, -0.5, -2\/27, 0.3, 3, 193","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 - v. Let w(r) = -2*r**2 - 4*r + 1. Let x(g) = 3*c(g) - w(g). Calculate x(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 701422 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/23443570 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + 0\/(-2) - -6. Suppose 4*w + 2 - f = 0. Let i be (9 - 2)*4\/7. Solve -5*u + 4*h - i = 0, -h + 0 = 3*u - w for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 249636*t**3 + 853*t**5 - 249636*t**3 + (-3*t**4 + 2*t**4 + 0*t**4)*(-2 + 2*t + 2).\nAnswer: 851*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (58\/4)\/((-3)\/(-6)). Suppose w = 2*w. Suppose 2*n - 7*n - y + 32 = w, 0 = -5*n - 2*y + o. Calculate the smallest common multiple of n and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 315*s**3 + 94225*s**2 + 11960*s = 0.\nAnswer: -299, -8\/63, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 44461 and 2313?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 6 - 22 + 6*j + 9 + j**2 + 5. Let u be 84\/9 + (-2)\/6. Let m = u - 15. What is w(m)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99 = -7*g + 442. Suppose 1528 = -53*z + g*z. Let b = z - -562. List the prime factors of b.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3041112743 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -11493463*b. Let v(a) = -a**2. Give v(t(w)).\nAnswer: -132099691732369*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n - 2*n - 2*n)*(3*n - 1 + 1) + 698611*n**2 + 0*n - 700427*n**2 + 0*n.\nAnswer: -1819*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -9*o + 84. Calculate d(10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3261140 by 10.\nAnswer: 326114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 747*s + 1. Let h be y(0). Which is bigger: 7\/145 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 139 + -195. Let u = 0 - z. What are the prime factors of u?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 167\/13104000 and 149\/374400.\nAnswer: 13104000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j + 4. Let y be 2\/(-2 - (-39)\/18). Suppose 3*z - 2*z - 15 = -5*o, 4*z - 4*o + y = 0. Let w be f(z). Solve 0 = w*v - 7*g + 3*g, 5*v - 4*g = -1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 2*t - 6, -d + 5*t - 9 = -0*d. Let i be (4 - 0)*7\/(-14). Let x = i + 1. Which is smaller: x or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 171 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 443.2913 millilitres?\nAnswer: 0.4432913","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 divided by -21.\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 50) + (47 - 11) + -36\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5336670801 less than -8?\nAnswer: -5336670809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/3050 and 39.\nAnswer: 3050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/sqrt(128) + -2)*6.\nAnswer: -12 + 3*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 516749.\nAnswer: 17, 113, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -7713*n. Let u(m) = 15*m**2. Give u(p(a)).\nAnswer: 892355535*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 47 + -47. Suppose k = 4*z - 9*z. Is -1\/5 less than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 + 20\/16)*8. Let y = 246 + -402. Let k be y*((-21)\/6 - -3). Calculate the greatest common divisor of g and k.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(sqrt(5)*-3*6).\nAnswer: -sqrt(2)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 6*s = 0. Let r be (1 + s + -1)\/1. Suppose -23 = -2*k + w, r = 5*w - 15. What are the prime factors of k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2835*u + 10 + 2833*u - 6*u**3 + 2*u**3.\nAnswer: -4*u**3 - 2*u + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x**2 + x**2 + 0*x**2)*(-1232 + 624 + 610 - x**2 + 32*x).\nAnswer: -2*x**4 + 64*x**3 + 4*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (105\/12)\/(-5) - (-4 + 3)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 25*p**2*v**2 + 5628*p**2 + 7*p*v**2 + 7*v wrt v.\nAnswer: 50*p**2*v + 14*p*v + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 86*c + 322. Let s(g) = 18*g + 224. Let u be s(-12). Is n(u) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 79662 and 2621604?\nAnswer: 28837644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/1 + 0 - (13 + -23). Solve 0 = -4*l - b - 7, 2*l - 2*b + o + 6 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 417012692 is divided by 32?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -448 - -230. Let z = 328 + s. List the prime factors of z.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 19? (a) 2 (b) -2\/7 (c) 62 (d) -0.5 (e) 12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 3*h = 3*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (678\/(-4))\/((-1)\/(-2)). What is v rounded to the nearest 10?\nAnswer: -340","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 990 (base 11) in base 14?\nAnswer: 60c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -14336 and 0.4?\nAnswer: -5734.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2 + 20824*z + 353430.\nAnswer: 2*(z + 17)*(z + 10395)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136) - sqrt(136)*-1*-5) + sqrt(136) - -2*2*sqrt(136))\/(-5*sqrt(432)\/sqrt(6)).\nAnswer: -sqrt(17)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3740 and 1320?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -3*b**3\/5 + 35859*b**2\/5 - 21319536*b - 3339077952\/5 = 0.\nAnswer: -31, 5992","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 22*a**3 + 2740*a**2 - 240*a + 4745 wrt a.\nAnswer: 132*a + 5480","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 26? (a) -1 (b) -0.4 (c) -0.96 (d) -2\/7 (e) 3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c + 113 = -b, -4*c - 43 = -3*b - 16 + 34 for c.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 12734 (base 12) to base 9\nAnswer: 37554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 1 + 3 + 2 - 3 + (-2 + 2 + 2)*(-1 - 3 + 2) - 1 - 2 + 2)*(0 + 1 - 5)*(11*y**5 + 96*y**5 + 49*y**5).\nAnswer: 1248*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - g + 8 = 3*t, 5 = 5*t. Solve 5*u = -6 + g for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 2*j = 0. Suppose -3*r + 2*i = -8*r + 69, j = r + i - 15. Suppose d = -d + 10. Solve t - 12 - 9 = -d*m, -3*t + r = 5*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 + 17. Let v = -18.66 - -14.66. What is the fourth smallest value in n, -2\/3, v, -0.3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + o**4 + 3)*(-12 + 2 - 5).\nAnswer: -15*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (7 + (22 - (21 + 14)))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1115 = -98*k + 4839. Let r(v) = 33*v**3 + 2*v**2 - 2*v + 1. Let m be r(1). Suppose k*o = m*o + 72. Which is greater: -2\/11 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 228 - 360. Let w be (-8)\/(-44) + (-141)\/v. Which is smaller: 2 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 - 5. Let o = v - -16. Suppose 5*b = 3*r + 4*b - 78, -5*b + 69 = 2*r. Calculate the remainder when r is divided by o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(90) + 1*sqrt(90) + sqrt(90))*-6)\/sqrt(3))\/(((2*sqrt(60))\/sqrt(6) + sqrt(10))*-6).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1745159?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -0.021?\nAnswer: -0.063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -410*a - 1 + 412*a + 1 - 2*a**4 - 2*a**2 in the form y*a**4 + u + j*a + p*a**3 + g*a**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1305 * -3\nAnswer: 3915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -548919 and -548879 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133 = 14*x + 105. Is (635\/(-20))\/(x\/(-328)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 18\/90*75 - 55\/3\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4860 and 420?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.08 and -0.0119774212?\nAnswer: 0.0680225788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -99570.619 to the nearest ten thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 97609, 195218, 292827, 390436, 488045, 585654?\nAnswer: 683263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of r**3*w**3 - 2*r**3 + 6*r**2*w**2 - 2*r**2 - 27*r - 38*w**3 wrt r?\nAnswer: 6*r*w**3 - 12*r + 12*w**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 114516 divided by 2.\nAnswer: 57258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 581 is divided by 259?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17469*x - 20*x**2 - 34960*x + 4*x**2 + 17460*x.\nAnswer: -16*x**2 - 31*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 192*s**2. Let c(n) = 4410*n. Calculate m(c(i)).\nAnswer: 3734035200*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 - 8*y**2 + 9*y - 7. Let o be ((-4)\/(-12))\/(1\/27). Is m(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65170*z**2 + 495*z - 170*z + 65175*z**2 - 1750 = 0.\nAnswer: -70, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3a - 3?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39.2 + -0.4.\nAnswer: 38.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -17 - 9*s + 17 in the form v + f*s and give f.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1770*t**2*v**2 - t*v**2 + 9*v**2 wrt t.\nAnswer: -3540*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 507*r - 520*r = 13. Let x = -6.89 + -0.11. Which is smaller: x or r?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11\/20 - -1\/5. Sort u, -5, -0.3.\nAnswer: -5, -0.3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 0.26, -2\/5, 12.664, -1\/6?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 - (-21 - -2) - -23?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2, 174, -0.2, -24?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l - 53 + 197. Let i be (-4)\/l*(1 - (1 + 10)). Let -2\/9*b**3 + 8\/9*b**2 - i*b + 4\/9 = 0. Calculate b.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2050164 + 53?\nAnswer: 2050250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1 + 88\/6*3?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -56*m*p**2 + 10*m*p*z + 539*m*z + 4*p**4*z - 2*z + 20 wrt p?\nAnswer: -112*m*p + 10*m*z + 16*p**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 8 = -2*x, 32 = 4*t - x + 2*x. Suppose y + 0*w + 3*w = 17, 6 = 2*y - w. Solve -3*l - y = -t*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95*d**3 - 205*d**3 + 104*d**3.\nAnswer: -6*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 minutes after 6:24 PM?\nAnswer: 7:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -97300*g**4 + 577*g**2 + 36?\nAnswer: -2335200*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -1 + 21*r**2 + r**2 + 0*r**2. Is 11 a factor of a(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 30516227.3 to the nearest ten thousand.\nAnswer: 30520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -33 - -16. Let r = 17.000018 + w. Round r to 5 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -112 + 117. What is the nearest to 1 in p, 2, -2\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of -m**4 - 4*m**3 + 11*m**2. Let q(a) = -1. Let s(b) = l(b) - 24*q(b). Let d(c) = 2*c**2. Give d(s(v)).\nAnswer: 1152*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of 0 - 1\/12*s**4 + s + s**2 - 17\/6*s**3. What is the lowest common multiple of o(-15) and 4?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/(-6))\/(15\/(-10)). Which is the third biggest value? (a) 1 (b) 88\/7 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -377, -752, -1127, -1502, -1877, -2252?\nAnswer: -2627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 276 and 1203.\nAnswer: 110676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 253835.3392278 + 0.38.\nAnswer: 253835.7192278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 894989624?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(15\/(-110)*(-44)\/36)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 23 (b) -1\/3 (c) -5304\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19355 is divided by 807?\nAnswer: 794","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 4 = 5*w, w - 8 = -2*w - 2*o. Solve -5*c = -w*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 6*k - 6*k + 40 = 5*k, -5*k + 7*k - 36 = -4*k for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/3? (a) -2\/11 (b) -0.444 (c) -80\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 + 4*k - 3. Let m = -3889 - -3895. What is the remainder when s(-8) is divided by m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.05211006, 2\/5, 0.1?\nAnswer: -0.05211006","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a centimeter in micrometers?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -466*n**2 - 19075*n**6 + 13363*n**6 - 957*n**2 wrt n?\nAnswer: -685440*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -85 or 2\/41?\nAnswer: -85","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 10:38 AM?\nAnswer: 3:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27216)\/(-2079) - (-12)\/(2 - 3\/1).\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*p + 73 = -136 - 71 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -1\/24, 1\/2, 1, 0.19, 0.08?\nAnswer: 0.19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -104, -102, -100, -98?\n\"Answer: 2*r - 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the first derivative of 3*x**5\/10 + 15*x**4\/4 - 3*x**3\/2 - 105*x**2 + 294*x + 117. Solve l(q) = 0 for q.\nAnswer: -7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 + 392 = 2*r. Suppose 3*o - 3*c = c + r, -8 = 2*c. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -13*15*36\/(-54)?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/(2 + 0)*5. Let d be 3\/(1*-3) - h. Find r, given that -9*r**3 + 3*r**3 - r**4 + 5*r**d + 2*r**2 = 0.\nAnswer: 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 143*y - 29714 + 29714 in the form t*y + c and give t.\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*s + 12*s = -34 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8006432 is divided by 2668742?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 x when three letters picked without replacement from pxxpxxxxx?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 6*d**2. Let n(h) = -7*h. Let f be n(0). Let o(b) be the second derivative of -1\/6*b**3 + 13*b + f + 0*b**2. What is o(z(p))?\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8 - 3*s**3 + 57 + 1078*s**2 + 1122*s**2 + 120*s + 19 - 2167*s**2.\nAnswer: -3*(s - 14)*(s + 1)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n**2 + 5*n**2 - 3*n**2 + (-5*n**2 + 5*n**2 + n**2)*(-1 + 3 - 1) - 90*n**2 + 488*n**2 + 490*n**2 - 2*n**2 + 4*n**2 + 0*n**2.\nAnswer: 893*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 7*x**2 + 2*x + 1. Suppose 4*j - 22 + 2 = 0. Let l(w) = 3*w**2 + w + 1. Calculate j*l(b) - 2*y(b).\nAnswer: b**2 + b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43350 divided by -8256.\nAnswer: -7225\/1376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7 or 5299\/10?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -19*l**2 - 1758*l - 383. What is m(-93)?\nAnswer: -1220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 26129989 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: What is 1 (base 6) in base 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 + 967*m - 51841. What is j(57)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 852 from -637584022.717.\nAnswer: -637584874.717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((336\/(-18))\/14)\/((-2)\/12)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 4*o**2. Let r(q) be the second derivative of 7*q**3\/6 - 3*q. Give n(r(g)).\nAnswer: 196*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9345 rounded to 1 dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 51885566?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -3, -2, -2946 in decreasing order.\nAnswer: -2, -3, -8, -2946","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10476 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.6, -0.5, 1, -420 in increasing order.\nAnswer: -420, -0.5, 0.6, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s + 4. What is o(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -308 (base 10) to base 13.\nAnswer: -1a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 - 41 = -4*j - n, 3*j + 3*n + 57 = 0. Calculate the remainder when (-4 - 44\/j)*-156 is divided by 66.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**2)**(-1\/67)*(k**(-2\/5))**(-21))**34 assuming k is positive.\nAnswer: k**(95336\/335)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 + 45*y + 6. Let p be n(44). What is the greatest common divisor of 1025 and p?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -g. Let y(m) = 920*m**2. Determine s(y(a)).\nAnswer: -920*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1370422*6.2\nAnswer: 8496616.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 162 and 1152.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = -0*n - 2*g - 30, 17 = 2*n + g. Suppose 180 = -4*r + n*r. What are the prime factors of r?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 354, 522, 688, 852, 1014, 1174?\n\"Answer: -w**2 + 171*w + 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 403 - 1?\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 884?\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -281, 2\/13, 1\/9?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/114408 and 113\/18?\nAnswer: 114408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-181628)\/(-8)*((-10)\/(-2) - 3). Suppose -5*w = -0*w + 3*l - 56758, -3*l + i = 4*w. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 906 and 2265975762.\nAnswer: 906","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 - -5. Let m = y + 12. What is the remainder when 11 is divided by (-4)\/m*(4 - 10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 5885, 47024, 158709, 376220, 734837, 1269840, 2016509, 3010124?\n\"Answer: 5880*z**3 - 7*z**2 + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 8*z**3 + z**2 - 2. Let k be v(1). Suppose -h - 2 + k = 0. Solve -4*t + 10 = h*o, -3*t + 11 = 3*o - o for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -7*c - 5. Let r(w) = 67*w. Determine r(y(t)).\nAnswer: -469*t - 335","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(143)*-6 + sqrt(143) - -3*1*sqrt(143))*3)\/(((2*sqrt(220))\/sqrt(5))\/(((sqrt(16) - sqrt(4)) + sqrt(4))*-5)).\nAnswer: -150*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2514 = -z + 5*h, z - h = -674 + 3172. Calculate the greatest common divisor of 116 and z.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnl when three letters picked without replacement from {n: 4, l: 10}?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**3 + x**3 - 3*x**3 + (x**2 + 0*x**2 - 2*x**2)*(x + 3*x - x))*(888 - 485 - 4*x - 440).\nAnswer: 24*x**4 + 222*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -10\/9, -0.1, -0.028, -5, -25?\nAnswer: -0.028","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.03 + -112.03. Let y = i + 111.4. Is y bigger than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 33422234 (base 5) to base 11\nAnswer: 191972","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 52894488?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjj when three letters picked without replacement from {g: 2, j: 4, m: 5}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 301 divide 35504756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/3, 0.3, 5, -2, -4\/4779?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/7))**(-15\/2)\/(c**(2\/3)*c*c)**(-2\/9) assuming c is positive.\nAnswer: c**(517\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15247986?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.05273006 - 3684.06.\nAnswer: -3684.00726994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 30 and 99390.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -100*w**5\/9 - 340*w**4\/9 + 244*w**3 - 252*w**2.\nAnswer: -4*w**2*(w + 7)*(5*w - 9)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*(t*t**4)\/t)\/t*t**(-3)\/t*t)\/(t**(-1\/4)\/(t\/(t**5*t)))*((t**0)**(-44))**(-1\/22) assuming t is positive.\nAnswer: t**(-15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.010166 to 4 dps.\nAnswer: -0.0102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1060)\/(-327))\/5 + 0. Let b = 2\/109 + g. Does b = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 88b + 17499?\nAnswer: 17d35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 - -5a?\nAnswer: 5f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4285*y + 8272*y = -444486 + 17548 for y.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5351558101 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-27)\/(12\/(-6) + 1). Suppose 0 = -s + y + 349. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 + 3 + 2 + 6*k + 5*k**2 + 4*k**2. Let w be (-6)\/204 - (14 + (-3485)\/578). Determine d(w).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -2*r**2 + 2*r - 3. Let y = -22 - -40. Let a = y - 16. What is p(a)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of -o**5\/60 - o**4\/6 + 17*o**3\/6 + 90*o**2. Suppose z = 2*z + 4. Is t(z) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 22, -12, -64, -140, -246, -388, -572?\nAnswer: -804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2216740 divided by 14030?\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3634368 divided by -138.\nAnswer: 26336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (20\/(-50))\/((-2)\/20). Solve 0*g = -2*g + 4, -a + g = v for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-7)\/(-504) - 3\/(-9) and 83\/54.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 + 5*q**2 + 3*q - 3. Let z be i(-4). Let o be (0 - -2)\/(z - 3). Which is the nearest to -0.1? (a) 2\/5 (b) o (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -10, 0 = -4*c - i - i + 44. Let n be (-3)\/(-6)*-1*c. Let q(f) = f - 5. Let v(y) = -5*y + 20. Let x(a) = -9*q(a) - 2*v(a). Determine x(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 2 = 10. Let k be (3 - -3)\/2 + m. Suppose 5*u + 3*l + k = 0, 3*u - 1 = 4*u + 5*l. Sort -1\/2, u, 2\/15.\nAnswer: u, -1\/2, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 - 12322?\nAnswer: -12322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 1234.\nAnswer: 3702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 45*((-581)\/(-166))\/((-4)\/24*21)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 7.5 (b) 35 (c) -1\/5 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1022)\/693 + (310\/(-45) + (-64)\/(-8) - 1).\nAnswer: -15\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(21) - sqrt(525)*-5)\/(sqrt(3) + -6*sqrt(3)*3))**2.\nAnswer: 4732\/289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42\/(-630)*150 + 42 + 1 + 1.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 1\/12, 5\/3, -4?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1553325 and 1251?\nAnswer: 4659975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 401183952 a multiple of 236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 22*h**4 + 166912*h**3\/3 - 783852*h**2 + 2765056*h - 249214\/3 = 0.\nAnswer: -2543, 1\/33, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of o**5\/120 - o**4\/4 + 7*o**3\/3 - 6. Let m(n) be the third derivative of q(n). Let b be m(7). Solve 0 = w - 5 + b for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39234907 to the power of 1\/2, to the nearest integer?\nAnswer: 6264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (-18471)\/(-9) - (-4)\/6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 4*o - 21700, -2*o - 2*g + 7794 = -3062. List the prime factors of o.\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -53978, -53919, -53770, -53489, -53034, -52363, -51434?\nAnswer: -50205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1331 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 103 - -35?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6853*y + y**2 - 3*y**2 + 3367*y + 3495*y.\nAnswer: -2*y**2 + 9*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -24.265 rounded to 0 decimal places?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 9:15 AM?\nAnswer: 7:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - y = m - 54, y - m - 6 = 0. Let i = -8 + y. Let q(v) = 1 - 495*v**2 - 491*v**2 + 984*v**2. Determine q(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2647 is divided by 289.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 515751000 by 5.\nAnswer: 103150200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {k: 8, g: 7, l: 3}.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10504?\nAnswer: 2, 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 63 divide 632?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.16 and 259.9.\nAnswer: 260.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 81 + -75. Let t = 6.3 - -1.7. Let s = t - o. What is the third smallest value in 2\/19, s, 0.6?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by -47747?\nAnswer: -9\/47747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 24747311*w**3 + 22*w**2 - 2628456.\nAnswer: 148483866","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 2129 divide 1248967127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3222 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1728) + sqrt(48)*2)\/((sqrt(4) - sqrt(12)\/sqrt(3))*4 + -3*sqrt(4)*-2).\nAnswer: -10*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(152) + sqrt(152) + -6*sqrt(152)*-1)*5)\/(1*(sqrt(8) - (sqrt(512) - (sqrt(512)*-3 - sqrt(512))))).\nAnswer: -40*sqrt(19)\/39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -b**3\/2 - 17775*b**2\/2 + 142257*b\/2 - 124481\/2 = 0.\nAnswer: -17783, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7.5 + -9. Let m = 0.5 + j. What is the third smallest value in m, -1\/4, -0.3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.1990351cm?\nAnswer: 0.001990351","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**2 - 28896*k - 57804.\nAnswer: 3*(k - 9634)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**3\/3 - 598*l**2\/3 + 1189*l\/3 + 596 = 0.\nAnswer: -1, 3, 596","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/(w*(w\/(w**0*w))\/w)*w)\/w*w\/w**3)\/(((w\/(w\/((w**(-3\/5)\/w)\/w)))\/w*w)\/(w**(2\/23)*w)) assuming w is positive.\nAnswer: w**(309\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-3 + 1 - 3)*(1 - 2 + 3) + 1 + 0 + 1 - 1 - 4 - 1)*(0*s**3 - s**3 + 3*s**3) to c*s + k*s**2 + u + y*s**3 and give y.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79 is divided by 33.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 + 78*k**2 - 65*k - 878. What is x(77)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 458133?\nAnswer: 3, 13, 17, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the second derivative of -13*y**4\/12 + 4*y**3\/3 + 6*y. Find the second derivative of o(b) wrt b.\nAnswer: -26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in a**4\/8 + 51241*a**3\/4 + 6248641*a**2\/8 + 24581265*a\/2 + 23044725\/2 = 0?\nAnswer: -102421, -30, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -23 (b) -4 (c) -5 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -117 divided by -39\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/(j\/(j\/(j\/(j\/j**31)*j)))))\/j*j*j\/(j\/(((j**19*j)\/j)\/j)*j)*(j**(2\/75)*j)**(-14\/3))**(-2\/3) assuming j is positive.\nAnswer: j**(-19894\/675)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 500.8 rounded to the nearest 10?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + b + 12. Suppose -20 - 67 = -b*u. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g**2 + 41*g + 25. Calculate u(-18).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 312 and 2730.\nAnswer: 10920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**1)**28*(z**(-2\/5)*z)\/((z**(-2\/17)*z)\/z))**0 assuming z is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5 - 2)*(-55)\/(-30)*-2. Let q(z) = -3*z - 13. Determine q(k).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 6 = 2*i, 4*g - 72 = 8*i - 0 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in five quarters of a year?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 PM and 10:20 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -8*2\/(-4) - 40. Suppose -4*b - 180 + 48 = 0. Is j less than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 188?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*b - 1819325 = 1967893. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 10:19 PM?\nAnswer: 2:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.49 and 0.534?\nAnswer: 0.79566","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 41, 66, 89, 110, 129, 146?\nAnswer: 161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 105*k.\nAnswer: 105*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 3*m + 2. Let b(o) = -o. Determine -2*b(h) - q(h).\nAnswer: -h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -4 (c) 1\/6 (d) -2.8 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10933104 a multiple of 182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of -2*y**3\/3 + 3*y**2 - 8. Determine h(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 264535?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/((b**0*b)\/b)))\/b**(2\/25)*(b*(b**0*b)\/b)\/(b*b*b\/(b**(-1\/2)*b)) assuming b is positive.\nAnswer: b**(-79\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 91537.1542 - 91554. Let a = w - -16.9. Round a to three decimal places.\nAnswer: 0.054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 3*f - 19. Suppose f*m = 230 + 511. Does 14 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 231, 788, 1713, 3006, 4667?\nAnswer: 6696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 105 + -105. Suppose -2*p - 158 + 20 = 2*y, 281 = -4*p - 5*y. Is p at least as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-12)\/22)\/((9\/264)\/(420\/(-1400))). Let 28\/5*i - f - 4\/5*i**3 + 0*i**2 = 0. Calculate i.\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x. Let r(z) = 223239*z. Give r(o(h)).\nAnswer: -223239*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (-2 + (-10 - 3) + -108 + 96).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/15*46 + 120\/(-36)*(-78)\/325.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 79516 + -5*(-1)\/1. Suppose 7*k + i = 391840. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109241486 is divided by 10924147.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -200 + 200. What is the second smallest value in y, 2, -140?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 192 + -194. Let d(k) = 3 + 1 - 5*k - 1 - 5. Let z(r) = 81*r + 33. Suppose -x = -3*x - 66. Determine l*z(u) + x*d(u).\nAnswer: 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4548, 4512, 4452, 4368, 4260?\nAnswer: 4128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.208821 + -328001\nAnswer: -328000.791179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + -4. Let w(x) = 9*x - 1. Let t be w(y). Calculate the remainder when t*(14\/(-35) - 226\/10) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 828 - 815. Let b(q) = -3*q**2 + 24*q + 2. Let v be b(j). Which is bigger: v or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121769 = 2*h + o + 51113, 2*o = 2*h - 70668. List the prime factors of h.\nAnswer: 2, 5, 3533","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 353 - 155. What is the lowest common multiple of 180 and f?\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 - 2*g - 4. Let a be s(3). Is 2 < a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-2 + (-6 - -5 - -4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((i\/(((i\/i**(-1))\/i*i)\/i*i*i))**(-2\/127))**37)**(1\/4))**(-34) assuming i is positive.\nAnswer: i**(-1258\/127)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -673 + 679. Solve l*m + 34 = 3*m - 5*n, -m = n + 8 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zhhwhzhw. What is prob of sequence whz?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 2. Let f = 5 + s. Suppose -m - 1 = -2*m. Sort m, f, 3.\nAnswer: m, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 45.7 + -43. Let o = 2.99 - -0.01. Let v = o - g. What is the second smallest value in 4, -3, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 1 - (5 - 9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -2*m**2 + m**2 + m**3 - 8*m + 10 - 5*m**2. Let k be h(7). Find the first derivative of 5*z**k - 3*z**3 + 2 - 3 wrt z.\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - (80 + -24 - 48)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28 and 88.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) 0.2 (c) 3 (d) -4\/2145 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-208)\/20)\/((-2)\/120). Let z be ((-1)\/(-2))\/((-4)\/g). Let b = 88 + z. Is 8 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3372 and 16644?\nAnswer: 4676964","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 38432356 a multiple of 838?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/(-4))\/((-6)\/(-36)). Suppose -o*k + 3 = -9. What is the derivative of 6 + 10*w**k + 5*w**4 + 6 + 7 wrt w?\nAnswer: 60*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -433 = 4*z + 7*j, -35*z + j = 23*z - 56*z - 67 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of -146*a**3\/3 - 437*a**2\/2 + 65*a - 1. Differentiate n(y) with respect to y.\nAnswer: -292","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 + 14. Let h(g) = -1 - 3*g - 2*g + m*g - 8. Let l be 22\/11 - (-1 - -3). Determine h(l).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the second derivative of -o**3\/2 - o**2\/2 + 3*o. Let r be n(2). Let v = r + 12. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 2, 1, -412, -4 in increasing order.\nAnswer: -412, -10, -4, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 + 28. Solve -5*z + s = -18 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.030202 rounded to four decimal places?\nAnswer: -0.0302","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 12, m: 1}. Give prob of sequence ii.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 28315 and 33978.\nAnswer: 169890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1211 = 93*p + 26*p - 98. Solve -l - 2*y = -p, 2*l - 6*y + 18 = -2*y for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20\/25 + 882\/10 is divided by 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**3 + 97*l**2 - 40*l - 300. Is r(92) a multiple of 142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + z = 4*z + 23, -3*z = -c + 19 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 - t**2 - t. Let x(y) = 3*y**3 - 5*y**2 + 36*y. Determine 4*w(v) - x(v).\nAnswer: v**3 + v**2 - 40*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -0.03, -1\/3, -0.00151?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 + -2)\/(3\/(-1)). Suppose k = 2*w - w - 79. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2. Let u(d) = -120*d. What is u(a(c))?\nAnswer: 120*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -1371*q + 5911. Does 19 divide h(-34)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 PM and 2:42 PM?\nAnswer: 154","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 158098756 a multiple of 463?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2174*k + 2170*k + 108 for k.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 2 (c) 1.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = -5*l + 18, 5*l - 4 = 3*k - 0*k. Solve 2*q + 0 + k = 0, h - 1 = -q for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 27340, 54685, 82030?\n\"Answer: 27345*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the second derivative of -2*c**3\/3 + 24*c. Let d(i) = -4*i**2 + 3*i - 3. Let z(x) = -7*x**2 + 5*x - 5. Let w(u) = 5*d(u) - 3*z(u). What is w(a(s))?\nAnswer: 16*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.6 + 0.7. Let m = r - 0.12. Let n be (-4)\/(-10) + (-69)\/60. Is n less than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-22 - -55)\/33 - -6\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7360 and 1955?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/16 in 0, 0.4, 1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 282 - 283. What is the second biggest value in 18, -0.2, r, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4345425 to the power of 1\/2, to the nearest integer?\nAnswer: 2085","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1067?\nAnswer: 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -81*a**2 - 13. Let h(b) = -37*b + 4. Let k(n) = 19*n - 2. Let w(u) = h(u) + 2*k(u). Calculate p(w(f)).\nAnswer: -81*f**2 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 42 + -14. Let x(b) = -4*b**2 - 4*b + 28 - b**3 - 54 + 24. Let r be x(-4). Calculate the highest common divisor of r and z.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17.7 + 17. Let i = 0.67 + k. Let v = i + 5.03. Which is the biggest value? (a) -2\/9 (b) -0.1 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h. Suppose -11*j + 658 = -4*j. Let q(c) = -94*c + j*c - 14*c**2. Give q(f(p)).\nAnswer: -14*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1428611033?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140 + 139 = -31*o for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -169*d**3 - 15*d + 125*d**2 + 15*d - 47*d**2 wrt d?\nAnswer: -1014","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 94.04 - 94.54. Let l = 2 + -2. Let x = l + 0.1. Put u, 3, x in descending order.\nAnswer: 3, x, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -20*o**2 - 715855*o - 536880.\nAnswer: -5*(o + 35792)*(4*o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 119059?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 + 8*m**2 + 2*m + 5. Let g be y(6). Suppose -4*b = -59 - g. Is b a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130) + (sqrt(130) - (2*sqrt(130) + sqrt(130)))*-5 - sqrt(130))\/(sqrt(640)\/sqrt(4)) + 1*(sqrt(208) + 0 + sqrt(208) + -1 + sqrt(208))**2.\nAnswer: -43*sqrt(13)\/2 + 1873","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36408705 by 1.\nAnswer: -36408705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**3\/4 + 9549*j**2\/4 - 28728*j + 86265.\nAnswer: 3*(j - 6)**2*(j + 3195)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 104 - 32. Let r = i - -56. What are the prime factors of (-2)\/r + (-6312)\/(-192)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of -n**6\/120 - 2*n**5\/15 - n**4\/8 - 10*n**3\/3 + 3*n**2. Let v be z(-8). What is the greatest common factor of v and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 2*i**3 - 3*i**2 + 5*i - 12. Let d be r(2). Solve f - d = 1 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 221, 428, 637, 848, 1061?\nAnswer: 1276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 336 from -0.22.\nAnswer: -336.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 - 7*s**2 - 6*s - 29. Let i be w(-13). Suppose -4*m - 371 = -i. What is the tens digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 481199 is divided by 240594.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 13244 = 5*g, -3*g + 31493 = 5*n + 9465. What are the prime factors of n?\nAnswer: 2, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 2*t - 3*t + 2*t + (14 + 7 + 4)*(t - t - 2*t).\nAnswer: -53*t - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 3 a when four letters picked without replacement from bqdqbqbgagdaqddabdgd.\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -14810, -14790, -14770, -14750, -14730?\n\"Answer: 20*m - 14830","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the first derivative of -29*m**4\/4 + 9*m**2\/2 + 28. What is the second derivative of i(y) wrt y?\nAnswer: -174*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-3*sqrt(252)*3.\nAnswer: -162*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -10.37+151176\nAnswer: 151165.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (10\/(-3) + 2)\/((-11)\/33). Let u(f) = 2*f**3 + 7*f**2 - 17. Let t be u(q). Suppose -5*i + 87 = -t. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y**(9\/2)\/y)\/y*y*y**12)**(5\/9))**(7\/10))**(-6\/11) assuming y is positive.\nAnswer: y**(-217\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 720 = f, 4*f = 6*d - 11*d + 3599. Let g = d + -513. Does 25 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*x = -38*x - 9276. What is the common denominator of 68\/15 and x\/(-210) + (-1)\/(-7) - 1?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 74\/35 and -86\/7605.\nAnswer: 53235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3360 - -6184. Suppose -3*i + n = -611. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 3*k**2. Let i(v) = 3 + 231*v - 3 - 234*v. What is y(i(c))?\nAnswer: 27*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 333*m - 788. What is the remainder when c(20) is divided by 125?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -93*y + 189302 + 234313. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 4.4. Let k = -57\/2 + 28. What is the nearest to k in y, -0.1, 5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.01 + 16.01. Let w = 12 - z. Suppose -4*y - 20 = -4*s, 5*y + 31 = 2*y - 5*s. Which is the closest to y? (a) w (b) -2 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2*r**2 - 61*r - 30. Determine w(-30).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 11*z**2 + z**3 + 7*z + 21 - 11*z - 7*z - 20. What is h(-12)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**5 - 38*n**4 + 254*n**3 + 278*n**2 - 1452*n - 1440 = 0 for n.\nAnswer: -24, -2, -1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 1. Suppose -s = 3*s - 1904. Suppose -m + s = x*m. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {v: 5, x: 1, f: 2, a: 1, z: 7}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 + 3. Let t = 1 - l. Which is smaller: t or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 (base 3) in base 2?\nAnswer: 10100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in 0.02, 2, -2, 2\/7, 4, 1817?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -963*x + 1147*x - 1853*x - 1412*x. Let g(n) = -n**2. Calculate g(o(h)).\nAnswer: -9492561*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -9616 at least -7938?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8350478 nanometers to millimeters.\nAnswer: 0.0000008350478","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (0 + (22 - 12)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 6*g - 2. Let m be t(1). Suppose -3*n - 3*s = -12, -4 = -3*n - 4*s + m. Suppose 7*y - n = 76. Solve 2*x + x = -y for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12197?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 602381 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-378)\/12)\/((-49)\/42)*-12*(-6)\/27?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -2*w**3 - 9*w**2 - 4*w + 5. Let k be o(-4). Let u = -297 + 622. Suppose -k*t = -u + 60. What are the prime factors of t?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -812, -1604, -2406, -3224, -4064, -4932, -5834, -6776?\nAnswer: -7764","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 172 - -b?\nAnswer: 17d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 751510?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1274?\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 132*r - 143*r + 165. Solve -4*g - 5*w = -36, 16*g - r*g - 3*w = -8 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 718178 + -1619804. Let x = i - -901626.740083. Let b = 0.74 - x. Round b to five dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -c - 5*c + 6*c + 10*c**2 to the form v*c + a + b*c**2 and give b.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, 2, 3, -11 in ascending order.\nAnswer: -11, -3, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 6, -1\/10, 124, -3, -31.41, 0.4?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 126675 and 2700.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {m: 11, z: 5}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/105 and 83\/1095780?\nAnswer: 1095780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115*c + 23*c + 38*c.\nAnswer: -54*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3 or -6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 3*d + 8 = 0, -4*o - 9*d = 10*o - 33*d + 19*d + 73 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 + 5*s**2 + 5*s + 8. Let f(j) = -j - 2. Let t be f(-2). Let y = 1 - t. Let n be 6\/(-10)*(y + -11). Calculate x(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -4*v - 1. Let q be p(-1). Suppose 24 = 7*b - 3*b + 5*c, -3*b - q*c = -15. Solve -b = r - 3 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3718*k + 3482*k + 6372 for k.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -105*c - 49*c + 135*c - 49*c - 2584 for c.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6402\/(-970)*(-10)\/(-3).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 5*x = -4. Let n(a) = -a**2 + 4*a + 1. Give n(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 51910056 divided by 8\nAnswer: 6488757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*k + 17867 = 18563 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -257 - -257.1. Which is the third smallest value? (a) 3 (b) -2 (c) n (d) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 + 4*u + 1. Let w be b(3). Suppose w*f = -32 + 88. What are the prime factors of (2 - -2)*-1 + f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 363318.\nAnswer: 2, 3, 19, 3187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 62 - -10. Let b(r) = -2*r**2 + 16*r + 3. Let s be b(8). Suppose -s*y = -4*y + f. Round y to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 8*m - 86. What is the least common multiple of u(38) and 1?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 11. Let t be (-1)\/u - (-71)\/4. Let d = -13 + t. Solve d = 3*z - 4 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 5*c = -15, -5*t + c + 17 = -9*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 144 = d. Suppose d + 12 = 2*x. Solve h + 3*s + 1 = -3, -3*s = -3*h + x for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*u - 18 + 2. Is 33 + -6*(-1)\/u a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59611 a multiple of 84?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-67)\/(-201) + ((-670)\/(-60) - 11)\/((-2)\/580).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/4 of a week in hours?\nAnswer: 1974","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1150814?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 37\/9 + -2*1?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -11*m + 6. What is a(-3)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 - 52 = -11*c. Let a = c - 8. Find j, given that -8\/7*j - a*j**3 + 0 - 32\/7*j**2 = 0.\nAnswer: -2, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.2 - -0.8. Let r = -3 + d. Let f be 8\/(-16)*-1*2. Which is the nearest to 1? (a) r (b) -4 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 3*i + 60, 0*s + 3*i = 3*s - 36. Suppose 2*m = 7*m. Suppose -2*q + 264 = -m*q. Calculate the highest common factor of q and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 2 + o + (-1 - 1 - 2)*(6*o - 4*o + 0*o) + (-3 + 0 + 0)*(-1 + 3*o + 1) in the form g*o + d and give g.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**4\/2 + 11*y**3\/2 - 21*y**2 + 32*y - 16 = 0. Calculate y.\nAnswer: 1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 989923 in -3, 2.2, 0.5?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14 - -16. Solve -n*a + 3*a = -5*j + 13, -j - 5*a = -17 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 842 and 278775675?\nAnswer: 557551350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.03 in -0.01, 5, 0.028, -0.063, 1\/4, -0.2?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -5*q, -4*q - 90 + 146 = 16*w - 12*w for w.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 141 - 136 = 5*q, 2*z = -q + 15 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 145921*f**4 + 2*f**2 + 7218*f - 4 wrt f.\nAnswer: 3502104*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 348259*k**3 + 510706*k**2.\nAnswer: 2089554","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*j + 832 = -5*n + 1077, -23 = -2*j + 3*n for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -12, 0, 59.\nAnswer: -12, 0, 2, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 50? (a) 0.11 (b) 16 (c) -43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 1101 - 11. Suppose 0 = 4*o - 4*j - w, -2*j - 50 = -o + 93. Calculate the remainder when 15765\/o - (-4)\/18 is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(156)*-1)\/sqrt(12).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1 + -3. Let k = -77 + 77.5. Put -7, l, k in ascending order.\nAnswer: -7, l, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 21*o + 4. Let y(v) = -43*v - 9. Let z(m) = -9*b(m) - 4*y(m). Let a(p) = 59*p + 21. Let s(j) = 64*j + 24. Let g(n) = -8*a(n) + 7*s(n). Give z(g(h)).\nAnswer: 408*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppp when three letters picked without replacement from {d: 1, p: 7}?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 5 = -7. Calculate the smallest common multiple of q and 6 - (-1 - 0 - 0).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85 is divided by 19?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 b when two letters picked without replacement from {x: 1, b: 4, h: 2}.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 295\/11 - 16 - 11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.5 + -1. Let r = -127 - -125. Let n = 737\/444 + 1\/148. Which is the biggest value? (a) r (b) n (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 19*q**3 + 25*q**2 + 8*q - 4. Determine s(1).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2\/5 + 13*y\/5 - 12\/5.\nAnswer: -(y - 12)*(y - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 361*j - 715. Give c(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.035 and -0.06.\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13943279?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 1 - 7, 2*w - 113 = -u. Suppose 487 = 6*n - u. Calculate the highest common divisor of 9 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/48 and 103\/780.\nAnswer: 3120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1853 + -1852. Let h be ((-9)\/12)\/((-2)\/40). Let q be (1\/3)\/(h\/(-27)). Which is the closest to k? (a) q (b) 4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34415 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1185 + 1262. Calculate the remainder when 460 is divided by b.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + x + 17 = 0, -452 + 454 = 2*r + 4*x for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14094 - 13673. What are the prime factors of u?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**4 + 157256*o**3 + 6181890589*o**2 - 37097004966*o.\nAnswer: o*(o - 6)*(o + 78631)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 2 - 2*r**2 + (r**2 + 3*r - 3*r)*(1 + 3 - 3) - 2*r**2 + 4*r**2 + 0*r**2 + 5*r**2 - 16*r**2 - 73 + 12*r**2 to the form b*r**2 + j*r + z and give z.\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/2239248 or -1?\nAnswer: -1\/2239248","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-11))\/(2*(-108)\/29304)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4, -21, -4, -2\/29, 0.0308?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of (-67666)\/(-34) - (-1560)\/(-8840)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-22)\/(-120)*17094\/1036 and (-705)\/(-12)*(-4)\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 34 = -10*t, 203*t = 206*t + 3*q + 36 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 24\/(-9) + (-1)\/3. Let j(t) = -9*t - 6. What is the tens digit of j(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + -1030102423?\nAnswer: -1030102420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 647, 9082, 33079, 80420, 158887, 276262, 440327?\n\"Answer: 1297*n**3 - n**2 - 641*n - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(2\/13))**15)**50)**(19\/3) assuming z is positive.\nAnswer: z**(9500\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/790295 less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1038a2 + 6?\nAnswer: -103898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + -1 - -1 - -68. Suppose l = 2*x - 0*w + 5*w, -4*x + 114 = w. Does 15 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -3\/4 (b) 3 (c) -5 (d) -1\/4 (e) -5\/3 (f) -28\/243\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 39414, 39421, 39434, 39453, 39478, 39509?\n\"Answer: 3*g**2 - 2*g + 39413","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 4*b - 6 = 0, -4*b - 3 = -2*s + 5. Let w(q) = -q + 9. Let a be w(0). Let j be (-15)\/20*(-24)\/a. Does j = s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1273 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12337027?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14030 (base 5) to base 8.\nAnswer: 2164","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -570382.2 minus 1.1?\nAnswer: -570383.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -4*k**2 + k - 4. Let q(v) = v**2 + 1. Let a = 11 - 10. Let l = 4 + -8. Let f be (-23)\/l + 3\/12. Calculate a*x(g) + f*q(g).\nAnswer: 2*g**2 + g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 57\/196 and -17\/50191?\nAnswer: 9837436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r + 2*r + 0*r)*(-r + 3 - 3)*(-1 - 2 - 1).\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 464963 greater than 465067?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -9de9 (base 16) to base 3\nAnswer: -2001110020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*g**2 + g**2 + 16*g**2 + 25*g**2 as j + y*g**2 + z*g and give y.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(32) - (sqrt(96)\/sqrt(3) + sqrt(32))).\nAnswer: -4*sqrt(2) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.04699406 and 1.5?\nAnswer: -0.07049109","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 4241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2380789 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 512?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -651*o**5 + 2347*o**4 - 3*o**2 + 3*o - 219765?\nAnswer: -39060*o**2 + 56328*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 - 201359282972?\nAnswer: -201359282953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 774 divide 275006070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 1. Let f(i) = -i - 9. Let c(n) = 14*d(n) + 2*f(n). Suppose -11*x = -7*x + 20. Let z(m) = -30*m + 25 + 15*m + 16*m - 22. What is x*c(y) - 6*z(y)?\nAnswer: 4*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 3. Suppose c = 1 + l. Suppose c = 3*v - 1. Solve -4*a - 21 = 5*w, -2*a + 3*w + v - 6 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -98, -104, -114, -128?\nAnswer: -146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -193996 times -0.4\nAnswer: 77598.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**0)**26*(k**(-1\/3))**22)**(-50) assuming k is positive.\nAnswer: k**(-2800\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 27. Let w = -22 + d. Let p be 18\/(-12)*(-1)\/12. Sort p, -0.5, w in descending order.\nAnswer: p, -0.5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 997?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = b - 2*y, 0 = 5*b - 4*b + 4*y - 3. Let t be 27\/12*(5 + b). Solve -4*w - 3*k + 32 = 0, -3*k - 4 = -5*w + t for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (-12)\/8 - 10\/4 - -10563 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/((-210)\/3)*665\/266?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25.3999046 - -25.4. What is f rounded to 4 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 864 - -292. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 6 = -6. Solve -12 = -2*s - 2*n, n + d*n = 3*s - 2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2592 + -2587. What is the fourth biggest value in f, -85, -0.3, 2\/5?\nAnswer: -85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -37 or -340\/9?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (12*f - 12*f - 5*f**4)*(1 - 6 + 2) - 6*f**4 + f**4 + f**4 + f**3 in the form m*f**2 + w*f + a*f**4 + z + d*f**3 and give a.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*u + 2 - 2 + 4*u + u - 3*u + (0*u + 2*u - u)*(5 - 1 - 3) + (1 - 47 + 9)*(-127 - 19 - 60)*(-u + 3 - 3).\nAnswer: -7617*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 244 - 42. Let u = w + 142. What is the hundreds digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15703, -31401, -47099?\nAnswer: -62797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*h**4 + 2763*h**3 - 18669*h**2 - 13371*h - 2280 = 0. What is h?\nAnswer: -1\/3, 8, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.19449946 and -0.0125.\nAnswer: -0.20699946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes before 9:44 AM?\nAnswer: 6:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -33003088 * -0.06.\nAnswer: 1980185.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 4*w = -54, 74 = 2*u - 44766*w + 44772*w for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1209 and 1716.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -6*f**2 + 14*f - 2. Let y(a) = -5*a**2 + 13*a - 2. Let k(b) = 6*g(b) - 7*y(b). Calculate k(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -70208, -140234, -210256, -280274?\nAnswer: -350288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 20*o - 13*o - 3 + 2 + 10*o**2 + o**3. What are the prime factors of p(-9)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/(-9))\/((-1)\/15). Suppose g*s + 9 = 4*j - 3, 0 = -4*j - 5*s + 12. Let v(c) = -6*c + 64. Let u be v(10). Solve j - u = -y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-17287)\/(-1465))\/(15\/75)?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 2*g + 53. What is d(11)?\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/(o\/(o*o\/(o*o\/(o\/(o*o*o**0))))))**26*o*o**(-6)*(o\/(((((o*o\/(o*o\/(o**5*o)*o*o))\/o)\/o)\/o)\/o))\/o assuming o is positive.\nAnswer: o**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*k**4 + 630*k**3 + 14835*k**2 - 310310*k = 0. What is k?\nAnswer: -77, -62, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 12 = -2*w. Suppose -5*x + 11 = 4*r, 3*x = -0*x - 3*r + w. Find the third derivative of 14*f**x - 22*f**3 + 8*f**3 + 7*f**2 + 23*f**6 wrt f.\nAnswer: 2760*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -65*w**3 - 25*w - 25. Let i(o) = -8*o**3 - 3*o - 3. Let k(y) = 8*y**3 + y**2 - 2*y - 1. Let u be k(-1). Give u*r(z) + 50*i(z).\nAnswer: -10*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*s**3 - 7*s**3 + 13*s**3 + (-s**3 + s**3 - 2*s**3)*(-13 + 7 - 8).\nAnswer: 41*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 14*l + 40. Let s be x(10). Suppose -s = -21*y + 3*y. Sort -1, 5, 2, y.\nAnswer: -1, 2, 5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13523.\nAnswer: 13523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7451142499?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dynyyynyyyynnndy. What is prob of sequence ydnn?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(5*(-5 + -5 + -1*sqrt(17)) + 4*-2*sqrt(833)*-1)*6)**2.\nAnswer: -183600*sqrt(17) + 1681812","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + -4. Suppose 110 = 26*c - 4*c. Put c, -1, a in decreasing order.\nAnswer: c, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/45 + -2 + (-2)\/(-15)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -2*n + 5*n + 179, -4*n - 243 = -3*r. Does 25 divide 46\/(n\/(-25) + -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 p when four letters picked without replacement from pruukpppbkunrpnpu?\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-162)\/(-120)*-4)\/(2\/10).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.555183001 to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 5642, 5643, 5644, 5645, 5646?\n\"Answer: z + 5641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of -5*r**4\/6 + r**3\/3 + r**2\/2 - 113*r. What is x(-1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 438 + -418. Solve 2 - q = 6*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 3:25 PM?\nAnswer: 12:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-6)\/(-8) + 636\/(-720). What is the nearest to 2 in f, 0, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**3 - 54588048*b**2 - 248321030351856*b + 1986571736451456.\nAnswer: -3*(b - 8)*(b + 9098012)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -29*y + 4. Let g(x) = -x**2 + x - 4. Let m be g(0). Let o be q(m). Let h be 1\/(1 - o\/121). What is the greatest common divisor of 11 and h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3610984*5\nAnswer: 18054920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 12*w + 5 = -4*h, 3 = h - 3*w. Let g(x) be the second derivative of -1\/12*x**4 + 0 + x + h*x**3 + 0*x**2. Let i(j) = 4*j. Calculate i(g(u)).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/200*3*(-35)\/14.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 799 and 15606?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 498 and 366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-1 + sqrt(396)) + sqrt(396) + -2 + -1)**2*5.\nAnswer: -180*sqrt(11) + 17825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 11313 to the nearest one thousand.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -45*l - 23539. Let r(b) = 32*b. What is w(r(z))?\nAnswer: -1440*z - 23539","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 take away -121899545?\nAnswer: 121899545.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6495 - 9*j + 9*j - 3*j**3 + 6495.\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 914382?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 187455510 to the power of 1\/2, to the nearest integer?\nAnswer: 13691","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zyby when four letters picked without replacement from {y: 7, b: 3, z: 3}.\nAnswer: 63\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 6565\/7280 - 2\/(-7) and -143\/42?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 20 = 4*a - 921, -4*a = 3*i - 899. Suppose 5*x - 5*o = a - 94, x = -5*o + 2. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/1653900 and 103\/99234.\nAnswer: 4961700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304) + 2 + 3 + sqrt(304)*-2*2)**2.\nAnswer: -120*sqrt(19) + 2761","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/136129959 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5994?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -11*q**2 + 9*q + 49. Determine f(3).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 9*i + 6. Let b(r) = -20*r + 11. Let j(o) be the third derivative of -11*o**4\/24 + o**3 + 18*o**2. Let t(h) = -6*b(h) + 11*j(h). Calculate t(q(v)).\nAnswer: -9*v - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2\/4*-4*(-135 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99347 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 6021*v - 15146. Let x(t) = 8053*t - 20195. Let g(w) = 13*n(w) - 10*x(w). What is the first derivative of g(m) wrt m?\nAnswer: -2257","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 207 + -205. Let k be -3 + (5 - (5 - 3)). Suppose q + 0 = -5. Put k, q, m in descending order.\nAnswer: m, k, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 140 and 53027485.\nAnswer: 212109940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3*(80\/(-3))\/4. Let d be -3 + a\/2 + -2. Suppose 0*y - 2*y + 13 = -d*k, -2*y - 5*k + 23 = 0. Is 9 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4245880005?\nAnswer: 3, 5, 853, 36871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (26 - (-9 + -14 + 8))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 4:27 PM?\nAnswer: 5:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -221 = -2*p - 3*z + 71, 306 = 2*p - 4*z. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of -52*b**3\/3 - 68*b**2 - 84*b + 2150. Determine o so that n(o) = 0.\nAnswer: -21\/13, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3e819 - 77d?\nAnswer: 3e08b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen quarters of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -53 or -50?\nAnswer: -53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (24*w**3 + 15 - 15)*(5 - 4 + 1)*(-4 + 4 - 5).\nAnswer: -240*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/1496 and -31\/450976?\nAnswer: 4960736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*w**2*y**3 + 5*w**2*y + 459441*w**2 + 213383*w*y**3 - 3*w*y**2 - 2*y**3 wrt y?\nAnswer: 18*w**2 + 1280298*w - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1179 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -44 by 3393.\nAnswer: -44\/3393","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 + 23*b - 189. Give n(-27).\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 88141, 176093, 264045, 351997, 439949, 527901?\nAnswer: 615853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12121 + 1020?\nAnswer: -11101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -29 + 398. Let h = y - 120. Solve -h*f - 5 = 5*z + 13, 2*f = 3*z + 7 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8262*i**3 - 347*i - 2 wrt i?\nAnswer: -49572*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -5*u**3 + 14*u**2 - 1075*u + 2. Let h(c) = -14*c**3 + 38*c**2 - 3225*c + 5. Give -4*h(b) + 11*k(b).\nAnswer: b**3 + 2*b**2 + 1075*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24 - -29. Suppose i*m - 88 = 47. Calculate the remainder when m is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -13385, 1\/3, -3\/4, -2\/969?\nAnswer: -2\/969","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -c + 1. What are the prime factors of c?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 847.4724 centuries in years?\nAnswer: 84747.24","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 - k. Let y be s(2). Suppose y*j - j - 5 = 0. Suppose -j*p + 323 = 98. What is the highest common divisor of p and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 156 = -3*c, 3*c + 32 = i + 4*c. What is the remainder when i is divided by 23?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6594379123 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46993 is divided by 1880.\nAnswer: 1873","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.2857mm to meters.\nAnswer: 0.0072857","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + -2*-2*sqrt(77) + sqrt(77) - 2*(sqrt(77) + (sqrt(77) - sqrt(77)*-3) - sqrt(77)))\/(2*(2*sqrt(1260) - sqrt(1260))\/sqrt(5)).\nAnswer: -sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 74137387\nAnswer: -7413738.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, -1, 2194 in ascending order.\nAnswer: -2, -1, 1, 2194","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 218.65018 rounded to 0 decimal places?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h\/((h*h**38*h)\/h))\/h**(21\/8))\/((((h*((h*h\/(h**(-38)\/h)*h)\/h)\/h)\/h)\/h)\/h**(10\/3)))**50 assuming h is positive.\nAnswer: h**(-45175\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 - 4*y**2 - y - 4. Let d be b(-4). Solve 4*a = -d*a + 20 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 326860.2 months in centuries?\nAnswer: 272.3835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2\/9)*b**(1\/5)*b)**(3\/8) assuming b is positive.\nAnswer: b**(11\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2050 * -14435.\nAnswer: 29591750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z + 5*z - 5*z + 8.\nAnswer: -2*z + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -3, 2 in descending order.\nAnswer: 2, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwjiwjjwxjwwwwvo. Give prob of picking 1 x and 1 j.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -3*h + 2*h + 7 + 5*h - 2. Let s be ((-4)\/(-2) - -3)*1. What is the units digit of m(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-1*sqrt(104) + sqrt(104) + sqrt(104) - sqrt(104))\/((-1*sqrt(88))\/sqrt(11)) - ((sqrt(1872) + -2)*-2 + 3)**2.\nAnswer: -7537 + 337*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*u - 11 + 11)*(u + 2*u + 0*u + (-2 - 2 + 5)*(-u + u - u) + 5*u - 5*u - u).\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-39)\/(-6) + -6)\/(3\/126). Which is the nearest to 0.15? (a) 0.2 (b) o (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 2*i = -5. Calculate the remainder when 73 is divided by i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -195.8\nAnswer: 58.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f + 5. Let h be d(-8). Let v(a) = -2*a**3 + a**2 + 3*a - 4. Let o be v(h). Suppose 3*j - j = 20. Calculate the greatest common divisor of j and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*o**5 - 7480*o**4 + 16370*o**3 - 10400*o**2 + 1485*o = 0. Calculate o.\nAnswer: 0, 1\/5, 1, 297","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 88 and 455873.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 96 and 32?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*b = 2*b - 72. Solve s + 2*s = -b for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 65221 by 173.\nAnswer: 377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {u: 1, i: 3, z: 1, q: 2, j: 3}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 35194428 or 35194429?\nAnswer: 35194429","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 31*n + 11027. Calculate b(-207).\nAnswer: 4610","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 6 = -n. Suppose n*d - 125 = -23. List the prime factors of d.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 31755, 52621, 73487, 94353, 115219, 136085?\n\"Answer: 20866*b + 10889","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 23 * 14.\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -615 - -3?\nAnswer: -612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 + 14*a - 12. Let n = -11 - -22. Let b = 112 + -94. Calculate the least common multiple of u(n) and b.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.42 + -0.2. Let n = m - 0.42. Which is the second biggest value? (a) n (b) -2\/19 (c) -7\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 184\/14 - 0 - 972\/(-1134)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 20 = 2*g, 0 = 2*a + 3*g - 29. Suppose 0 = -3*y + a*y + 48. Find the common denominator of 49\/20 and 16\/y*19\/8.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**1*y**8*y)**(-3\/10)*(((y\/(y\/y**(1\/2)))\/y)\/y)**(1\/11)\/(y**(-2\/7)*y*y**0*y) assuming y is positive.\nAnswer: y**(-1752\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k + 2. Let z = 178 - 176. Let s(x) = -3*x + 9. What is z*s(c) - 9*l(c)?\nAnswer: 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -93 - -103. Suppose -t*a = -9*a - 5. Suppose -2*i = -4*r - 21812, 3*i = i + a*r + 21815. Round i to the nearest 1000.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0.05, 14, 0.5, -0.028?\nAnswer: -0.028","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v**3 - 9*v**2 - 5*v + 6. Let s(i) = -i**3 + i**2. Let b(f) = -j(f) - 3*s(f). Suppose 5*y - 21*y = -2768. Let r = 168 - y. Determine b(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 271626 and 5100?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (18\/10)\/(5*(-18)\/(-300)). Suppose -l*p = -8508 + 48606. Let j = 173677\/26 + p. What is the common denominator of j and -131\/24?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*o - 18 - 24. Let t(b) = b**2 - 2*b - 35. Let y be t(o). Let c be 2 + -1 + (-65)\/55. Which is smaller: y or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 1 = 14. Which is the third biggest value? (a) 1\/8 (b) w (c) 0.4 (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -215, -52, 218 in ascending order.\nAnswer: -215, -52, 218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -145\/108 and -71\/48.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 3*n - 28, 0 = -s + 39*n - 41*n + 16. Let y(c) = c**2 + 2*c + 1. Let z be y(-1). Which is smaller: s or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 6:40 AM?\nAnswer: 12:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 18 = -5*z - 38, j + 4*z + 28 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 plus 1301.1?\nAnswer: 1300.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**4 + 5*i**4 - i**4)*(3*i - 3*i + i + (3*i + i - 2*i)*(4 + 3 - 5)) + (0*i**2 + 2*i**2 + 0*i**2)*(-1 + 1 + i)*(2 + 5*i**2 - 2).\nAnswer: 20*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 389.58 - 389.5617411. Let t = u + -0.0182. What is t rounded to five dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 5*o - 60, -4*a + 5*o + 31 = -20. Suppose 0*y - a*y + 36 = 0. List the prime factors of y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 - 25*s - 40. Is v(-20) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6 - 1560\/(-155) - 26\/403. What is the nearest to 42 in h, 5, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3245935 divided by -649187?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 + 0*r**3 + 2*r**3 + 7*r**2. Let j be k(-7). Let h be (-12)\/(-8)*2\/12. Which is smaller: j or h?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.3 + -5.7. Let k = 5.7 + a. Let f be 14\/(-98)*(-4)\/40*-7. What is the third biggest value in -5, -3\/2, f, k?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2. Let b(c) = 109*c + 2 + 37*c - 217*c. Calculate w(b(o)).\nAnswer: 5041*o**2 - 284*o + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**(5\/3)*q))\/(q*q**(5\/4)) assuming q is positive.\nAnswer: q**(-47\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101 = 2*r - 103. Suppose f - 10 = 3*m, 0*m - 2*f = -3*m - 14. Let w be (r\/m)\/(4\/(-48)). Solve -3*y = -4*d - 21 + w, 0 = y - 1 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-76)\/10)\/(1\/190). Let s = 71897\/10 + -7184. Calculate the common denominator of s and 4\/14 + n\/(-140).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3629585286?\nAnswer: 2, 3, 211, 955657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 47 = -r, 4*r + 5*n - 193 = 2*n. What is the tens digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, -4, 8 in descending order.\nAnswer: 8, 2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2182, 11474, 27870, 51370, 81974?\n\"Answer: 3552*g**2 - 1364*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.08*0.30717982\nAnswer: -0.0245743856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1155487 and 712.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/5, -0.037, 1\/11, -2, -92\/9 in descending order.\nAnswer: 4\/5, 1\/11, -0.037, -2, -92\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1070540 to the nearest integer?\nAnswer: 1035","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 2 - 83 = -3*r, -4*l - 2*r + 50 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/9 (b) -351.1 (c) -4 (d) 0 (e) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 792208.053ms?\nAnswer: 0.0013098678125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u - 2*u**4 - 3*u)*(-9*u - 22*u + 7*u + (10 - 10 + 3*u)*(-15 - 5 + 19) - 2*u + 2 - 2).\nAnswer: 58*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1556 and 380?\nAnswer: 147820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 0.358, -0.25, 1, -0.34?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one quarter of a century?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 8. Suppose -c + 12246 = -t*z, 0*c + 2*c - 24452 = -2*z. Suppose -6169 = 2*h + c. Round h to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2 - -3)\/((-105)\/25 - -4). Let t(w) = 24*w**2 + 1. Let u be t(1). Let g = u - 57\/2. Is h smaller than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20 + 28. What is the lowest common multiple of y and 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12839760 by 4.\nAnswer: 3209940","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -310410417 divided by 2.\nAnswer: -310410417\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 - 6*l + 2. Let r be b(-7). Let z = -2 - r. Suppose -2*c = -z*c. Solve -2 = 2*w + 4*j, c = -2*w + 5*j - 1 + 17 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -653623, -653630, -653637?\nAnswer: -653644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34308277 = 2*v - o, -5*v - 2*o + 85770655 = 3*o. Let q = -2554136 + v. Suppose -t - q = t. What is t rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ctdsnvstdttd. Give prob of sequence sd.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*h**3*i**2 + 2*h**3*i*y**3 + 5*h**3*i*y - 5*h**2*i**2*y**2 + 2*h**2*i*y**2 + 21*h*i**2*y**3 - i**2*y wrt h?\nAnswer: -12*i**2 + 12*i*y**3 + 30*i*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) 453 (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 10 = -d, 4*p + d = -3*d for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*d*p**5 - 20*d - 142*p**3 - p**2 wrt p.\nAnswer: 120*d*p**2 - 852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w. Let b(o) = -5*o. Suppose -2*i + 2 = -2. Suppose i - 6 = -u. Determine u*b(q) + 22*g(q).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9 + 17. Let y be 585\/225 - 2\/(-5). Solve y*s - i = u, 0 = -4*s + i + 8 + 3 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 + z - 3. Let x(t) = 13671*t**2 - 18228*t + 54684. Give -18228*l(b) - x(b).\nAnswer: 4557*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of 2\/15*n**6 + 0*n**3 - n**2 + 0 - 2*n + 0*n**4 + 0*n**5. Differentiate v(s) with respect to s.\nAnswer: 16*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of 1\/3*h**3 - 7\/4*h**4 - h**5 + 4*h - 3 + 4*h**2 - 1\/6*h**6. Suppose j(i) = 0. Calculate i.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (23 - 6 - 8 - (-6 - -40))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*x - 918*z - 8 - 58 = -923*z + 25, -z + 5*z = x + 24 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3210000 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 3*w**2 - 5*w**2 + w**2. Let t(f) be the second derivative of f**6\/120 - f**3\/2 - 2*f. Let z(g) be the second derivative of t(g). What is a(z(h))?\nAnswer: -9*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -20\/29 + 118\/87. Determine u, given that 4\/3*u + 0 - q*u**2 = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (357 - 367)*((-3)\/2)\/(10\/4)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)\/sqrt(2))\/sqrt(3) + -5.\nAnswer: -5 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of -155*g**3\/6 + 9*g**2\/2 + 17*g - 1. Let k = 25 + -35. Is c(k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66627856343 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/8 in 5, -0.4, 0.12, 0.2?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 262667023 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 312, 0, -3 in decreasing order.\nAnswer: 312, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x**3 + 109*x**2 - 68*x - 651. Let p be b(-55). Solve -14*c + p + 20 = 0 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 80901 + -1374543\/17. Let f = m + -6737\/170. Find the common denominator of ((-2)\/(-15))\/((-12)\/520) and f.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.85 + 1.09. Let k = 4 - 3.94. Let h = g + k. Which is the third biggest value? (a) -2 (b) -1\/3 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 15*h**2 - 4*h - 3*h**2 + 23*h**2 - h**2 - 4. Let r be f(6). Suppose -q = 2*g - r, g = -4*q + q + 588. Round g to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -469278.365263913 + 206.715165913. Let t = i - -469071. Let q = t + 0.65. What is q rounded to 5 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24883*z - 904 + z**2 + 904 + 24883*z.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 4*t**3 + 801*t**2 + 203*t + 600. Let j be z(-200). Solve -2*b + 10 = j, -19*b = -v - 17*b - 10 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 2702\nAnswer: -2\/1351","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**49*i))**(-2\/17) assuming i is positive.\nAnswer: i**(98\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4172 and 129332?\nAnswer: 129332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 15596*k**3 + 7*k**2 + 8*k - 36. Let p be f(6). Round p to the nearest 100000.\nAnswer: 3400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -20422 - 13?\nAnswer: -20435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 - 12*a**2 - 186*a - 2240. Calculate k(-12).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1383441585?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of -h**2\/2 - 13*h - 145. Determine x(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t**2 - 5. Let b(v) = -62*v**2. What is b(i(m))?\nAnswer: -248*m**4 - 1240*m**2 - 1550","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - -3303001?\nAnswer: 3303002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12.91 - 12.11. Which is the closest to 0.2? (a) q (b) -3 (c) 3 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43421288 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/18 and 16\/100479555.\nAnswer: 200959110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/v**(-1))**(3\/4))**(-46))**(10\/11) assuming v is positive.\nAnswer: v**(-690\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -1431 (b) -2\/17 (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -41 - 868*u**2 + 1884*u**2 - 1017*u**2 - 168*u as r*u + z*u**2 + n and give n.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttyyyyytytttty. What is prob of picking 2 t?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-4) + (-38)\/(-16)*18. Is 42 at most b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4 + 560?\nAnswer: 554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0\/((-4)\/2)*235\/(-2115)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -2\/5, 5, 8, 2\/13?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*(m*m*m*m**(-1)*m*m)\/m)\/m*m\/(m*m**(-2)))\/(m\/((m**1*m)\/m)*m\/((m\/m**0)\/m)))**(7\/10) assuming m is positive.\nAnswer: m**(14\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - 0 - (317 + -202 + -97).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and 2126801?\nAnswer: 10634005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -24196 divided by -4\nAnswer: 6049","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5321149 and 1?\nAnswer: 5321150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3694824 from 1.07968.\nAnswer: 3694825.07968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -138.000281 + 138. What is q rounded to five dps?\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*k + 38*k = 15. Let q = -30 + 28. Put 1\/3, k, 18, q in descending order.\nAnswer: 18, k, 1\/3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40584 = -1271*f + 53470 for f.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -511, -1021, -1533, -2047, -2563, -3081?\nAnswer: -3601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f**3 + 3*f**2 - 2. Let s = -17 - -14. Is k(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -344028, -688041, -1032054?\n\"Answer: -344013*w - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 141102 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 + 11*m + 7. Let q be t(-19). Let s = -49 + q. Is 22 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = -373 - 1095. Suppose -11*k = -95 - p. Let q = 188 - 125. Calculate the highest common divisor of q and k.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kb when two letters picked without replacement from kwb.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 q when three letters picked without replacement from qfqqqqqfqqq.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22 + -13. Let r(m) = m**3 + m**2 + m + 1. Let q(a) = -6*a**3 + 3*a**2 + 3*a - 13. Let n(s) = -q(s) - 5*r(s). List the prime factors of n(w).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -243 = -u - 241. Suppose 3*q = -q + 3*w + 65, 0 = 5*q + u*w - 110. Calculate the remainder when 119 is divided by q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16.445 + -11401.\nAnswer: -11384.555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*j**2 - 128907*j - 386748 = 0. Calculate j.\nAnswer: -3, 42972","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*c + 2 - 2)*(-1 + 2 - 3) + 331*c + 6*c + 133*c - 1 + 1 + c in the form n + g*c and give g.\nAnswer: 467","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 2 = 0, 0 = -0*u - 2*u + 4*l + 8. Let j = u - -5. Suppose -30 = -j*k - 5. What are the prime factors of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 + 11. Let i = 147923\/197228 + -1\/98614. Which is the third smallest value? (a) r (b) i (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16623, 16606, 16565, 16488, 16363, 16178?\nAnswer: 15921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -673587 (b) 5 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19428, -19284, -19074, -18804, -18480, -18108, -17694?\nAnswer: -17244","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d**3 + 69*d - 26*d - 43*d.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 52\/5 of a kilogram?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + -1?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**5\/2 + 429*z**4 - 3780*z**3 + 11259*z**2 - 22437*z\/2.\nAnswer: -3*z*(z - 277)*(z - 3)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -3 + -7 + 1 + 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 - 3*u**2 + 1206*u - 4846. Determine y(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 171*v + 42*v - 85687 = 7181. Is 3060\/7 != v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -637, -1273, -1909, -2545, -3181?\nAnswer: -3817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -189 - -269. Calculate the smallest common multiple of n\/6*(-21)\/(-14) and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + 2440142?\nAnswer: 2440201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 20762 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 AM and 2:34 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73*g + 3*g + 140 = 0. Solve -2*o = g*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2230 less than -2226?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15742 = -25*p + 26433. Let j = -762 + p. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-10)\/18)\/((-6)\/((-72)\/(-10))). Let l = -1.9 - -0.4. Which is the third smallest value? (a) l (b) -1\/4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20100 (base 3) to base 6.\nAnswer: 443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c**3 + 6*c**2 + 9*c - 8. Suppose -8*a + 28 = -4*a. Let m be f(a). Suppose -75 + 0 = -5*h. What is the greatest common divisor of m and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 times -2325\nAnswer: -139.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7100 = -433*s + 78*s for s.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*x - 329*x + 176*x + 3318 = -203*x for x.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -3*f**2 - 7*f + 2. Let q be b(-5). What is the tens digit of q\/(4*4\/(-8))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2118 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 9. Suppose w*u + u - 155 = 0. Let s = u + -22. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 377325.033897 - 28.\nAnswer: 377297.033897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -214\/2731 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 2*x + 14 = 0. Solve 3 = r, -x*o - 2 = -3*r + 1 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12362*t - 24631*t + 12547*t)*(-1 - 2*t + 1).\nAnswer: -556*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2620, -10473, -23570, -41917, -65520?\nAnswer: -94385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 11 + (-5 - (-3 + 8 + -4) - (128 + -202))\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 - 11*t + 15. Let c be r(10). Suppose 18 = c*h + 3. Let o = -1063 + 1064. Sort h, -5, o, -2 in decreasing order.\nAnswer: h, o, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*r - 3*i = -14*r - 22716, 5*r = -2*i + 37872. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7 or -66959?\nAnswer: -66959","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 3:23 PM?\nAnswer: 1:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1744*x - 139004 = -4733*x + 4468 for x.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.814 and 0.4?\nAnswer: -0.7256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -8\/9 (b) -0.4 (c) 4\/5 (d) -0.124\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -12053 to the nearest one thousand.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 27877 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 360\/(-16)*(-6)\/5. Let c be (i + 1)*1\/2. What is the units digit of 80\/c*63\/18?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(189)\/sqrt(108) - (sqrt(630)\/(-1*sqrt(10)) + 3))*-1)**2 + -1.\nAnswer: -21*sqrt(7) + 371\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 4*(-3 + 1 + sqrt(125) + 0) + 5)**2*-6.\nAnswer: -12216 + 1440*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 times -0.134?\nAnswer: -18.358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 9*x**2 - 20*x + 3. What is the tens digit of f(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 46 - 22. Let h = x + -19. Calculate the remainder when 13 is divided by h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.01 - 0.01. Let h = 0.3 + -0.2. Let c = h - -0.1. What is the nearest to -1 in c, k, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.02504573 times -0.15\nAnswer: -0.0037568595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 4*t**4 + 9*t**4 - 64*t**3 + 62*t**3 to the form k*t**4 + p*t**2 + l + n*t**3 + y*t and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1740.4 - -1740. What is the closest to -1 in l, -0.5, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 11 = -16 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -4*h**2 - 5*h - 2. Let a(i) = 9*i**2 + 11*i + 5. Let d(u) = 2*a(u) + 5*b(u). Calculate d(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -510\/11 or -45?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**2 + 16*f + 8. Give k(-15).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 62897651 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 + 3*z**2 + z - 3. Let a be y(3). Let i(s) = 4*s**2 - 2*s + 3. Let t be i(2). Suppose -6*k = -k - t. Solve a = -b - 2*b + k for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, n: 3, e: 1, f: 2}. What is prob of sequence fenf?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwwn when four letters picked without replacement from wnwwwwnnww?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from amaaaamaammam. What is prob of picking 2 a?\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -16570*r**2 - 3*r + 7. Let h be m(-3). Let t = -104314 - h. Round t to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -34*z + 32*z. Let v = 62 - z. What is the remainder when v is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 11*q - 14*q - 3*r, -5*q + 13 = -3*r for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00478497362 rounded to 7 dps?\nAnswer: 0.004785","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 247727 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 33b + 2?\nAnswer: 33d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 4*j = -2*k - 28, -3*j - 39 = 3*k. Let n(q) = -6*q - 17. Is n(k) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3.06924 times -10\nAnswer: 30.6924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*a**3 + 16*a - 18*a - 2*a**4 - 6*a**2 + 2*a**3.\nAnswer: -2*a*(a + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2 and 19343.\nAnswer: 19343.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -56691 or -56689?\nAnswer: -56691","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1068152627 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-26)\/(-8) + (-9)\/3\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -2*d - 3*r, -4*d + 3*r = r - 20. Suppose -2*s - 1757 = -5*j, -3*j + d*j - 1057 = 4*s. Does 9 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-389)\/(-1556)*(-1)\/5?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 68\/8 + (-119)\/14 + 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/315*3*1*-9.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10552)\/220 + 175\/((-5600)\/(-1536)).\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 a when three letters picked without replacement from {l: 1, b: 1, c: 1, a: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 72013\/350 - 2997\/14. Which is greater: r or -9?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -581, -2304, -5181, -9218, -14421, -20796?\nAnswer: -28349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -14. Let m(k) = 84*k + 172. Let x be m(-4). Let b = x + 166. Sort i, b, 5 in ascending order.\nAnswer: b, 5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 20 = -3*t. Let b be 35\/10 + t\/(-8). What is the nearest to 1 in 1\/3, b, -3\/5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(6\/5)\/p)**(-1\/15) assuming p is positive.\nAnswer: p**(-1\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*f + 6*f = 3*f - 2*h - 19, -45*f - 205 = -10*h for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 PM and 4:15 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1.9*12\nAnswer: -22.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14127, -14128, -14129?\nAnswer: -14130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*f**3 - 4*f**3 - 13*f**3 + f**3 - f**3 + 4*f**3 + (-7*f**2 + 5*f - 5*f)*(2*f - 5 + 5) as a + o*f**3 + b*f**2 + w*f and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 2 = 2*l - 0*w, -5 = -5*l + w. Does 2 divide -3*1*(l + -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*h - 53*h + 105 = 0 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -3. Let x = 1959\/5 + -393. What is the closest to g in 2, x, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-65)\/39*3 - 70\/(-12). Which is the nearest to -0.3? (a) v (b) -2\/21 (c) -4 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-20)\/8*8\/50. Let c = 3498.5 - 3499. What is the fourth biggest value in 0.3, p, 48, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/27 (b) -4 (c) 4 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -6.6*-6\nAnswer: 39.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/3, -1\/6, 0.36 in descending order.\nAnswer: 0.36, -1\/6, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-80)\/(-64))\/(2\/(-8)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*k**5 - 6*k**3 + 467*k.\nAnswer: 40*k**3 - 36*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 66 - 61. What is w in -113*w**3 + 3*w**s + w**4 - 2*w**5 - 3*w**5 + 119*w**3 = 0?\nAnswer: -3\/2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1764932, 3529916, 5294902, 7059890?\n\"Answer: w**2 + 1764981*w - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*r, 5*m + 3 = 4*m - 3*r. Suppose m = -6*s + 66 + 198. Calculate the remainder when (-1090)\/4*16\/(-20) is divided by s.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 3*c**2. Let q(f) = -5394*f. Calculate q(s(x)).\nAnswer: -16182*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1846 and 36508342?\nAnswer: 1846","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -13*j**2. Let a(g) = 2573*g - 1288*g - 1281*g. Give a(k(n)).\nAnswer: -52*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((3 + -2*sqrt(272) + sqrt(272))*5)**2 + 3.\nAnswer: -600*sqrt(17) + 7032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + (sqrt(2448) + (sqrt(2448) - (1 + sqrt(2448))))*2 + 5)*1)**2*4 + 2.\nAnswer: 576*sqrt(17) + 39206","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 74*v**4 - 2*v**3 - 9*v**2 - 71*v**4 + 15*v - v**3 - 6.\nAnswer: 3*(v - 1)**3*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1830027 is divided by 1949?\nAnswer: 1865","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r**2 - r + 32. Let f be t(0). Suppose f*p = 35*p - 474. Does 10 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*b**3 - 2*b**3 + b**3 + 25*b**3.\nAnswer: 37*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 2*t - 56*t**3 + 0*t + 54*t**3 + 5*t**2 to the form f*t**2 + s + d*t + w*t**3 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1185 + 1128 + 14*c**2 - 2313.\nAnswer: 14*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 60339420 to the nearest integer?\nAnswer: 7768","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 + -9)*(-630)\/165. What is the highest common factor of 24 and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2904 - 2755. What is the remainder when l is divided by 39?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -442\/163459 + 48\/733. Let l = -20237\/892 - w. Find the common denominator of -20\/11 and l.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*f - 15 = 10*f. Suppose -f*n - 2*u + 6 = 0, -5*n = 3*u - 5 + 1. Sort -2, n, 1 in decreasing order.\nAnswer: n, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 13 (b) 0.2 (c) -5 (d) -6\/37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 + 7*w + 5. Let i be x(7). Suppose -i*o + 5 = -2*s, 0*s + o = 4*s - 17. Let u(z) = z**3 - 2*z**2 - 3*z**2 + 0 + 3. Determine u(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -4 + -2 + 1 - -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 184 - 184 + 72*o - 38*o - 37*o.\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 731 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002772723389 to five decimal places.\nAnswer: 0.00277","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -4*t - 4. Let o be z(-7). Let q = 18373\/2004 + -1\/668. Find the common denominator of (-220)\/o*3\/(-2) and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a - 3. Let o be z(9). Suppose o*s - 30 = 5*s. Let g be ((-16)\/6 - 10\/s)*-1. Solve -4 = 2*j + 5*c, 4 = -0*j - 2*j + g*c for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1246 + -0.0246. Let h = 7 + -31. Let k be (-8)\/20 - h\/10. Sort 5, t, k in ascending order.\nAnswer: t, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.044, 193, -5, 75\/16?\nAnswer: 193","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63 (base 16) to base 11.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2620318*c**4 - c**3 - 2*c**2 - 23718*c - 12 wrt c.\nAnswer: -62887632*c - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.0009, -10\/3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 14395.48?\nAnswer: 14395.48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17175 = 1675*f + 52350 for f.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*b + 262381 = -32*b + 92923. Calculate the lowest common multiple of b and 3.\nAnswer: 2778","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) -110 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 - 25*n**2 + 34*n + 256. Let g be q(-26). What is the greatest common divisor of 24 and g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 2*g**3\/9 - 707894*g**2\/9 + 2123668*g\/9 - 1415776\/9 = 0.\nAnswer: 1, 2, 353944","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5301182.\nAnswer: 2, 139, 19069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 + 8*x**2 - 7*x - 1. Let s be r(7). Suppose 2*i = 4*i + 30. Let b = i + 7. Is s bigger than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -10 + 10 + -39745 + 10. What is v rounded to the nearest 1000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 462 is divided by 39?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**2 + 17*m - 6. Suppose -f - f - 4*w + 48 = 0, 4*f + 3*w - 76 = 0. Does 10 divide s(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*v**2\/3 - 104*v - 928\/3 = 0. Calculate v.\nAnswer: -58\/5, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19033.0414 + 19031. Let j = x - -2.02. What is j rounded to three decimal places?\nAnswer: -0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**7\/(o\/(o**(-2\/9)*o)))**(1\/4))**13)**(-32) assuming o is positive.\nAnswer: o**(-6344\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o - 5. Suppose 3*d - 14 = -d - q, -4*d - 2*q + 16 = 0. Let b(x) = -2*x + 1 + 8 - d. Let h(k) = 3*b(k) + 4*l(k). Differentiate h(j) with respect to j.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103293 is divided by 102492?\nAnswer: 801","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -12 - -12.00281. What is x rounded to four dps?\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1105 + 461 = -28*s. Calculate the remainder when s is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**5\/17 + 50*s**4\/17 - 14*s**3\/17 - 362*s**2\/17 - 300*s\/17 = 0 for s.\nAnswer: -25, -2, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 10fe25 + -7?\nAnswer: 10fe1e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -20\/236469 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2421802842?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -26*n**2 + 19*n + 8. Let o(p) = 8*p**2 - 7*p - 3. Give 4*h(q) + 11*o(q).\nAnswer: -16*q**2 - q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/(315\/(-9))*5*-6?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 228438151 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 8834770?\nAnswer: 3533908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2455\/349538 or 0?\nAnswer: 2455\/349538","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -6 + u**2 + 2*u - u + 3*u. What is the units digit of v(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 6\/5 (b) 3.23 (c) 9 (d) -4 (e) 1\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*m, -2*m = -a - 0*m + 7. Let b(r) = -66*r + 3. Is 23 a factor of b(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + p - 37 = 0, -5*r + 3*p + p + 212 = 0. What is the greatest common factor of r and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 225769630?\nAnswer: 2, 5, 22576963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -34*j + 1. Let o be b(3). Let k be (-1)\/(1\/o - 0). Let d = k - 5. Is 9 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 - 0. Let f = 1.95 - -0.05. Let o = f + -1. What is the closest to -1 in 0.4, w, o?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t**5\/5 - 18*t**4\/5 - 57*t**3\/5 + 648*t**2\/5 - 324*t + 1296\/5 = 0. What is t?\nAnswer: -6, 2, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 - -4. Let d = -3 - g. Let a = -22 - -20. Sort d, a, -1.\nAnswer: a, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 98115 < 98118?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -41909\/2 - -20954. Which is the biggest value? (a) h (b) -2\/27 (c) -30\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + 197 = -3*u - 3*h, -4*h = 16. Let b = -32 + u. Solve 4*l = b*l - 3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1012021222021 + -2?\nAnswer: -1012021222100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 162 + -233. Let k = -78 - c. Let y = -3 + 2. Which is smaller: k or y?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.06533 or -12?\nAnswer: 0.06533","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -510*m = -508*m. Sort 1, m, -10 in increasing order.\nAnswer: -10, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 120265033?\nAnswer: -2\/120265033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.3 - 0. Let p = -26.17 - -26.47. What is the nearest to p in -5, v, 1\/8?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 - 25 - 83*z**2.\nAnswer: -83*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16.2 + -3.2. Are 1 and n unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n. Let k be (35\/(-14))\/((-1)\/(-2)). Let y(s) = -s + 1. Let p(i) = k*a(i) + 2*y(i). What is the derivative of p(r) wrt r?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -7*a + 144. Suppose -389*y + 384*y = -120. Calculate the greatest common divisor of a and y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 52853 = -3*q, 2*c = -5*q + 60942 + 27151. What is the ten thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7691 rounded to the nearest one hundred?\nAnswer: 7700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = l - 2*l + 34, 56 = 2*l - j. Which is bigger: 29 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1669473 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24*n**4*p + 5*n**3*p**3 - 4*n**2*p**2 - 57*n*p**3 wrt n.\nAnswer: -576*n*p + 30*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 + 19*k**2 - 21*k - 16. Let t be z(-20). Solve 4*p + o + 1 = 0, 2*o - t = 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 558203 + -4?\nAnswer: 558188","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -668*-70.05.\nAnswer: 46793.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 668345 and -343.8?\nAnswer: 668688.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3\/5 + 36414*h**2\/5 - 43713*h + 327888\/5.\nAnswer: 3*(h - 3)**2*(h + 12144)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -5*p + 2*p - 27, -4*p - 6 = 2*d. Let i(c) = c**2 - 1. Let u be i(p). Suppose t = -2*t + 3*v + 9, -4*t = -v - 3. Solve t = 5*w - u for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12334 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t + 14. Let p be x(-10). Calculate the highest common divisor of 2 and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -4*y**2 - 8*y. Let l(a) = 3*a**2 + 7*a - 1. Let f(t) = 3*l(t) + 2*z(t). Let u be f(-5). Let i = -15 - -11. Are i and u nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i**2 - 8*i. What is the remainder when 93 is divided by b(6)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -4*r**5 + 1736*r**4 - 8492*r**3 - 38216*r**2 + 199536*r - 205920 = 0?\nAnswer: -5, 2, 6, 429","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 - 11*n**2 - 18*n - 15. Let u be a(-9). Is -17 >= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -111, -964, -3281, -7794, -15235, -26336?\nAnswer: -41829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 12:39 AM?\nAnswer: 5:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126 = 82*j - 96*j for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89340.38ug to tonnes.\nAnswer: 0.00000008934038","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2017*o**2 + 10079*o**2 - 2019*o**2 - 2013*o**2 - 2020*o**2 - 2008*o**2.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 4369463?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*c**3 + 40*c**2 + 60*c = 0. What is c?\nAnswer: -6, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*v - 3302 = 153*v - 9828 for v.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 18*n - 19 = -14*n, -n = -w + 6. Suppose 0 = 4*d - 3*d. Suppose d*h = -h + 5, w*h = 5*p - 5. What is the lowest common multiple of 4 and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1932048*i**3 - 4*i**2 - 138028067*i wrt i.\nAnswer: -11592288*i - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -22504 by 2.\nAnswer: -11252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 440.5 less than 0.033137?\nAnswer: -440.466863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -336, 7, -3, -224 in decreasing order.\nAnswer: 7, -3, -224, -336","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 87140 and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4823, 17364, 38267, 67532, 105159, 151148?\n\"Answer: 4181*l**2 - 2*l + 644","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9212 and 44492.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add -45928279062 and -17.42.\nAnswer: -45928279079.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 7 + 8 = 0. Suppose r - 116 = -l*k + 3*r, -4*r - 32 = -k. Let y = -27 - -32. What is the highest common factor of k and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of o**6\/10 - 138*o**5\/25 + 2127*o**4\/20 - 828*o**3 + 2430*o**2 + 406. Let d(u) = 0. What is u?\nAnswer: 0, 5, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 972 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 50 (base 9) to base 16\nAnswer: 2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 11) to base 3.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*(-4)\/16*0. Suppose b = 5*z - 2*z + 99. Let k = z + 66. Is 11 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 38920 and 20?\nAnswer: 38920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add -16363530860 and -0.6.\nAnswer: -16363530860.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(((k*k**(-2))\/k)\/k*k))\/k)**(-1\/32)*((k\/(k*k**(-7)*k))\/k)\/k*k*k*k**(18\/5)*k)**(-3\/8) assuming k is positive.\nAnswer: k**(-2529\/640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 604760 divided by -604760.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 + (-1687)\/(-5) + 110\/(-275) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 + 10*y + 25. Let r = 238 - 245. Let z be b(r). Solve 5*x - 3*p + 27 = 0, 4*x + 4*p + 0 = z for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2119.473914 rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and 1336186?\nAnswer: 6680930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5543 is divided by 38.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3404611476 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5267, -2, -5 in ascending order.\nAnswer: -5267, -5, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 229373 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 974?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 plus -2.081393435256?\nAnswer: -1.981393435256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 3*y - 5. Let a = 8 + -5. Suppose 0 = -4*d - 23 + 7, 4*h - a*d - 32 = 0. Calculate the remainder when x(h) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(1 - 4 - (36 - (13 + 21)))\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 8, f: 5}. What is prob of sequence iiif?\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**2 - 4*l + 3. Let g be v(-5). Let x = -1 - g. Suppose 0 = 4*z - 29 + 1. What is the greatest common divisor of x and z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1.9 + -2. Let m(q) = -2*q - 13. Let v be m(-5). Which is the closest to h? (a) 0.5 (b) 4\/5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 2*z - 4*n + 24 = 0, -2*n = -5*z + 44. Calculate the least common multiple of 6 and z.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(49) + sqrt(294)\/(sqrt(6) - sqrt(486)))\/sqrt(7)*6.\nAnswer: 21*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(1\/6)*w\/w**2)\/(w*w**(-2\/5))**(-1\/24))\/((w\/w**(-1))**(-3\/17)*w**1*w*((w\/(w\/(w\/(w\/(((w*w**6)\/w)\/w)))*w))\/w)\/w) assuming w is positive.\nAnswer: w**(-7729\/2040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 59 + 35 = 0. Let r be s + (1 - -2) - -2. Calculate the greatest common divisor of r and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -35783211877 and -208.\nAnswer: -35783212085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 AM and 9:26 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3502793*b**3*r**2 - 426*b**2*r**2 + b**2 + 4*b*r - 1553*r wrt b.\nAnswer: 21016758*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 58 = 57*w - 61*w, 0 = n - 4*w - 18. What is the lowest common multiple of 1518 and n?\nAnswer: 7590","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 271098 - 5*d**3 - 542185 + 271093.\nAnswer: -5*d**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 34 - 11042?\nAnswer: -11003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70 = -5*v + 5*n, 0 - 53 = 5*n + 2 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + 1 + -267 + 0. Calculate the common denominator of t\/(-6) + (-4)\/6 and -35*(2\/(-12))\/(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1479597 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(128) + -2 + 2)*-1 - (3 + (sqrt(128) - (sqrt(128) + 3)*-2)**2))*3 + -3.\nAnswer: -3576 - 888*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 62777009 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -26265, -52437, -78609, -104781, -130953, -157125?\n\"Answer: -26172*k - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 104, 432, 996, 1808, 2880, 4224, 5852, 7776?\nAnswer: 10008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45)\/55 + 1 + 70\/(-22)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -270978, -270987, -271002, -271023, -271050, -271083?\nAnswer: -271122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 10*r**2 + 7*r - 7. Let s(d) = 3*d**2 + 2*d - 2. Let m(h) = 2*p(h) - 7*s(h). Let q(i) = 23*i. Calculate q(m(c)).\nAnswer: -23*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1039 and 217?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -4. Let m = u - 3. Suppose m*z = v - z + 2, 3*v - 4 = z. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 - w**2 + 20. Let r be q(0). Suppose 3*k + 4*x = -0*x + 668300, 0 = -5*x - r. Let a = 130772 - k. Round a to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4cb601 (base 15) to base 10.\nAnswer: -3683476","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 3*h + 2. Let c(r) = 2*r**2 - 7*r - 2. Let j be c(4). List the prime factors of o(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) -13 (c) 1 (d) -2\/7 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*y - 2*y**3 - 51*y**2 + 5*y**2 - 33*y**2 + 15*y + 0*y**3 + 3 to the form l*y + g*y**3 + c + p*y**2 and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 - (1104 - 1053 - (10 + 0))?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, -1987, -2, 12 in descending order.\nAnswer: 12, 2, -1, -2, -1987","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 - 4 = -n. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1899491 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 96 = -3*a. Let u be a\/15 + (-4)\/(-10). Suppose u*r = 5*n - 16, 0*r + n = -r + 6. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 6)*(4*v + 0*v - 3*v) + (3 - 2*v - 3)*(-1 - 3 - 1).\nAnswer: 9*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uihi when four letters picked without replacement from uthbitwbi.\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19834 is divided by 2493.\nAnswer: 2383","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 - 23*q**2 - 22*q - 52. Let p be u(24). Which is the second biggest value? (a) p (b) 2\/11 (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 21*l - 10. Let t(j) = -4*j + 2. Let q(s) = c(s) + 5*t(s). Let d(g) = 5*g. Let r(p) = 9*p. Let a(n) = 7*d(n) - 4*r(n). Give -2*a(u) - q(u).\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gpyujpjupuugyjb. What is prob of picking 1 g and 3 j?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 + 6*k - 3. Let s be c(5). Put 1, -1, s in decreasing order.\nAnswer: s, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39224?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -5*s + 65, -g = s + 3*g + 12. Solve s = -d - d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19 + 22. Let i be (-1)\/((-21)\/6 + o). Suppose i*z = 4*p - 50, 4*z = -4*p + z + 25. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -3*(1*(((sqrt(132)*-2 + sqrt(132))*-5)\/(4*sqrt(24)\/sqrt(2)) + 0))**2 + 0.\nAnswer: -777\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from gjjyjjggj.\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 2*a**3 + 3*a**2 + 5*a. Suppose 3*v + d = -2*v + 1, -3*v + 4*d + 19 = 0. Let y(f) = f**3. Let x(i) = v*o(i) - 3*y(i). List the prime factors of x(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 - 3. Suppose 41 = 10*q - 19. What is the least common multiple of z(5) and q?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 132898 is divided by 75.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 105856?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 327 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 5, j: 2, p: 2, e: 8, l: 1, m: 2}. What is prob of picking 1 v and 1 j?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.9 and 35.\nAnswer: -31.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of 4*w**5\/5 - 19*w**2\/2 - 31*w + 27. Let i(u) be the first derivative of o(u). Differentiate i(c) with respect to c.\nAnswer: 48*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.03 + -0.17. What is the third smallest value in 1, q, 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -8*w + 6. Let u(q) be the third derivative of 7*q**4\/24 - 5*q**3\/6 - 195*q**2 + 2. Determine -5*i(f) - 6*u(f).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.035 - -7.035. Let v = k + -7.2. What is the second biggest value in -3, 0.5, -0.03, v?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**2 - l**2 + 5*l**2)*(-2*l**2 + 3*l**2 + l**2) + 22*l**4 - 3*l**4 + 15*l**4.\nAnswer: 40*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = -28*a + 138 - 398 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**2 + 55*d - 779. Give j(11).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*j**5 - j**5 - j**5 + (38*j**5 + 154*j**5 + 13*j**5)*(8 - 4 + 3).\nAnswer: 1433*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 3*x**3 - 64*x**2 + 85*x - 79. Let h be p(20). What is the highest common factor of 22008 and h?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 32 = -4*s, -4*o - s + 6*s = 9 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -4*o - 3*s - 24, -2*o - s = 24. Calculate the common denominator of (-59)\/o - (-4)\/8 and -23\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 + 4*z + 7. Let r be l(5). Suppose 4*n - 74 = r*n - 3*d, 5*n - 178 = -4*d. Calculate the remainder when n is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 141 - -23686?\nAnswer: 23837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4752999?\nAnswer: 3, 58679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 34\/5 of a centimeter?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4 - 106)\/11 - -7537. What is the greatest common divisor of 39 and w?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*q**3*u**2 - 4848*q**2*u**2 - 4*q*u - 30*q + 6*u**2 + 3 wrt q?\nAnswer: -24*q*u**2 - 9696*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11630 is divided by 999.\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*d + 5*b = -21*d - 30, -3*d = 4*b + 20 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31 - 31 - 62*h + 88*h - 24*h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1526 + 15201\/10. Find the common denominator of p and (-39)\/24 + (0 - 1).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 143 in -0.8, 21, -0.5, 57.2?\nAnswer: 57.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 - 2*o - 4. Let m be t(3). Let y be (m\/3)\/(7\/(-567)). Let g = y + -15. Is g a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-124)\/198 - ((-2204)\/342 - -6). What is the fourth biggest value in 11, -7\/5, n, 4?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vbotddte. What is prob of sequence vbo?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, c: 1, l: 1, v: 1, g: 2, o: 1}. Give prob of picking 1 v, 1 q, and 1 o.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -4*o - 2. Let s(p) = 17*p + 9. Give 6*s(m) + 26*v(m).\nAnswer: -2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 = 7*a - f, a + 36*f = 33*f - 13 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 72 + -4?\nAnswer: 6a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 72, 4, -0.03, -199415\/6 in decreasing order.\nAnswer: 72, 4, -0.03, -199415\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 93 + -61. Suppose -q = -2*c - 22. Let v = 4 - 1. Solve -2*f = -6*f - v*b, 2*b = -c*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-105)\/(-345)*(-34)\/(-238))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7 - 5. What is the third biggest value in 0, m, -29?\nAnswer: -29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1108310.\nAnswer: 2, 5, 7, 71, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1628156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, u: 5, e: 3}. What is prob of sequence uuu?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15754*x + 3994*x + 4351*x + 3820*x + 4334*x.\nAnswer: 745*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 25687 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6 + (-54)\/(-99) + (-150)\/33. Solve -z = -3*n - 0 - q, z + 4 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 648924 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 19, 4, 0.5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 2602380712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -12*w - 9*w + 3 + 20*w + 3*w**2. Let l be j(-2). What is the greatest common divisor of 85 and l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/5))**(-1\/23)*((k*k**(-1\/10)*k)\/k)\/(k**(2\/11)\/k*k))**(-3\/16) assuming k is positive.\nAnswer: k**(-5319\/40480)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r + 11*r + 14*r - 3*r**2 - 6*r to w*r + m*r**2 + v and give w.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 196332 and 392664.\nAnswer: 392664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 356419 a multiple of 863?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 102439, 6, -3 in decreasing order.\nAnswer: 102439, 6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1373*x + 4*z = 1374*x - 28, 5*x - 8 = -2*z. Sort x, 13, 5, -2.\nAnswer: -2, x, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -152, -300, -446, -590, -732, -872?\nAnswer: -1010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3477)\/(-399) + 15\/(-21). Put -3, a, 0 in decreasing order.\nAnswer: a, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -433660 + 3?\nAnswer: -433654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + l + 2, -4*l + 35 = -4*o + l. Let w(b) be the first derivative of -9*b**2\/2 + 25*b + 2. What is the units digit of w(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4776, -9618, -14526, -19500, -24540, -29646, -34818?\n\"Answer: -33*w**2 - 4743*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -k + 4*l - 3, -l = -k + 35 - 32 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 9*f. Let g(a) = -2*a**2 + a. Let k be g(2). Let i = 14 + k. Does 24 divide t(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5190 is divided by 325?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the second derivative of 7*z**3\/6 - 3*z**2 + 2*z. Let v = -952\/3 - -310. What is the common denominator of j(4) and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -75882.7 times 12?\nAnswer: -910592.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7 - -19. Let z be 2\/8 + 108\/(-48) + 6. Suppose 0 = 5*b + 20, -z*t + 0*b + b + r = 0. What is the greatest common divisor of 10 and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3284 + 3286. Let m(l) be the first derivative of -2\/21*l**6 + 0*l + 1\/7*l**4 + 4\/21*l**3 - 17 + 0*l**o - 4\/35*l**5. Solve m(j) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 814\nAnswer: 1628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.077621887 rounded to 5 dps?\nAnswer: 0.07762","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*i = 43*i + 14*i - 520 for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -g - 4*a - a, -a = -3*g + 20. Suppose 5*j = 3*j + 50. What is the highest common divisor of g and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22724 is divided by 751.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l**4 - 6*l**3 + 8*l**2 - 4*l - 4. Let o(a) = a**3 + a**2 + a + 1. Let g(i) = 4*o(i) + z(i). Factor g(d).\nAnswer: -2*d**2*(d - 2)*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 72 - 68. Let v(j) be the third derivative of 0*j + 0*j**3 - 4*j**2 + 0*j**x - 1\/150*j**6 + 0 - 1\/525*j**7 - 1\/150*j**5. Factor v(f).\nAnswer: -2*f**2*(f + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the second derivative of t**5\/20 + 11*t**4\/6 - 25*t**3\/6 + 9*t**2 - 3*t - 17. Calculate the lowest common multiple of 136 and y(-23).\nAnswer: 1088","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5756266.9 to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a millennium in months?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 + m - 2. Let q be a(-2). Suppose -k + q*k = k. Solve -l + 2*t + 8 = k, l + 5 = 5*l + t for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22399.\nAnswer: 13, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*d + 0*d - 45 = 0. Calculate the common denominator of d + (-6)\/(54\/29) and (84\/3)\/((-6)\/(-4)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) - 2*sqrt(99) - sqrt(176)*6 - (2 + sqrt(44) + sqrt(396)).\nAnswer: -37*sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 - 26*f - 4. Let t be k(-5). Which is the second smallest value? (a) t (b) 25 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -242.6 times -1?\nAnswer: 242.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((((-1860)\/(-105))\/(-62))\/(6\/14))\/30\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -55, -4, 14, 4, -19, 5 in decreasing order.\nAnswer: 14, 5, 4, -4, -17, -19, -55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 2:04 PM?\nAnswer: 3:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express m - 8 + 8 + m + 2*m - m + 4 - 4 - m - 4*m - 3*m + 5*m + (0*m - 4*m + 2*m)*(2 + 3 - 7) + 1 - 1 - m as u*m + z and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10*(-45)\/(-1200)*2*-1*-4. Suppose -4*u = -7 - 1. Suppose 3*y = 5*f - 3 + 18, -u*y + 10 = -4*f. Solve f = -n + 3*s - 1, n + 3*s + 19 = -k*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 22*h**2*y**3 - 130378*h**2 + 2*y**3 - 54042*y**2 - 22 wrt h?\nAnswer: 44*h*y**3 - 260756*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -113719372 divided by -26?\nAnswer: 4373822","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 p, and 1 l when three letters picked without replacement from {w: 1, q: 1, l: 2, p: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6109*j**3 - 5995*j**3 + 226*j**3 - 3553*j**3.\nAnswer: -15431*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 24745475?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27 - 40. Let n(i) = -i**2 - 14*i - 2. What is the units digit of n(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 6*h**2. Let q(v) = 35*v**2 - 5. Let p(a) = -17*a**2 + 2. Let w(f) = 5*p(f) + 2*q(f). What is k(w(i))?\nAnswer: 1350*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 - (5 - (0 - (-3 + 3)))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32362105.\nAnswer: 5, 6472421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -4*q**3 + 5*q**2 + 6*q - 3. Let y(g) = g**3 - g**2 - g + 1. What is -l(n) - 3*y(n)?\nAnswer: n**3 - 2*n**2 - 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 27 - 17. Let v(z) = 5*z - 8. Let a be v(g). Suppose -u = a*s - 93, 2*u + u + 3 = 0. What are the prime factors of s?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(1344))\/(sqrt(7) - sqrt(49)\/sqrt(112)))**2.\nAnswer: 1024\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 1:22 AM?\nAnswer: 5:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 1388 = 4*a + 169, 5*a + 4*r - 1529 = 0. Let p = a + -305. Solve -20 + p = 5*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -147576, -147575, -147574, -147573?\n\"Answer: v - 147577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b**2 - 5*b**2 - 35*b**3 + 7*b**2 + (3*b**2 - 2*b**2 - 2 - 3*b**2)*(7*b - 146*b + 48*b).\nAnswer: 147*b**3 + b**2 + 182*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 v when two letters picked without replacement from {p: 8, v: 5}.\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/10 + 165\/50. Let v = c - 7\/2. What is the biggest value in 1\/11, v, 0.07?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 114, 5, 147, -68 in increasing order.\nAnswer: -68, 5, 114, 147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-5)\/(-10))\/(-3 + (-76)\/(-24)). Let t(h) be the second derivative of 1\/6*h**a + 3*h**2 + 0 - 6*h. What is the first derivative of t(m) wrt m?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 197000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**3\/15 - 20*w**2 - 1538*w\/5 + 47684\/15 = 0. What is w?\nAnswer: -131, -26, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a centimeter in micrometers?\nAnswer: 47500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 3*i)*(-49 + 64 - 31) in the form o*i + f and give o.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of 37*u**8\/336 + 11*u**5\/20 - 2*u**2 + 65. Find the third derivative of w(v) wrt v.\nAnswer: 2220*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 2 (b) 49 (c) 0.1 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 123506.91809 to the nearest ten thousand.\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -746*x - 1887*x - 1182*x - 1804*x to a + h*x and give h.\nAnswer: -5619","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((16\/12)\/2)\/((-4)\/(-12)). Put 3, 0, f, -21 in descending order.\nAnswer: 3, f, 0, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 11, h: 1}. What is prob of picking 2 i?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 4:50 PM?\nAnswer: 7:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 197038405?\nAnswer: 5, 1801, 21881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3801 - 3798. Solve 7*i + 3*a + 17 = 5*i, 0 = a + o for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s**2 + 100*s + 675. Let f be p(-6). Let b(g) = g**2 - g + 1. Let c(n) = 5*n**2 - 4*n - 13. Give f*b(i) - c(i).\nAnswer: -2*i**2 + i + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 - 0.56974069?\nAnswer: -32.56974069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 68 - 14. What is the common denominator of (z\/(-176))\/((-30)\/200) and 88\/(-18)*7\/(-8)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -789.9809 + -0.0191. Let a = 841.3 + l. What is a rounded to 0 decimal places?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 760 and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 21599842 to the nearest integer?\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*z**4 - 3*z**3 - 52558*z**2 - 2*z + 134940154.\nAnswer: 8*z**3 - 9*z**2 - 105116*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (2380\/630 + 4\/18).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-31)\/(-91 + -2)*-6. Suppose 0 = -a - 4*a - 5. Put a, -8, o in increasing order.\nAnswer: -8, o, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*j - 15*j = -c + 19, -5*j - 24 = -c. Let z = -349 - 319. What is the common denominator of (-3*z\/360)\/c and 77\/18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 62 + -21. Let z = -35 + v. Suppose z*t + 120 = 10*t. Solve -t = -5*b - 3*m, 5*m - 15 = -b + 13 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (24\/(-4))\/6*-6. Suppose m*v + 3*v - 1899 = 0. Is 19 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 10*h - 35. What is the remainder when c(8) is divided by 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 19721 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 3 = 5*d. Calculate the highest common factor of 25 and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 4*s = 3*s - 5, 3*s + 15 = -b. Suppose -j + 22081 - 5681 = b. Suppose -j = -7*q + 3*q. Round q to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -58 - -58. Solve 3*r = 4*v - 2*r + 10, -v - 4*r + 8 = p for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 201*z - 231 + 99 = -16*q + 206*z, 4*z + 41 = 3*q - z for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 39965 - 24835 = 0. Round x to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/17)\/h)\/h*h*h**0*(h**(-2))**(11\/3)*((h*h\/h**(-5))\/h*h\/(h*(h\/(h*h**(-6)))\/h))**27 assuming h is positive.\nAnswer: h**(946\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1167 + -1164. Let o(l) be the third derivative of 0*l**5 + 0*l**r + 0 + 0*l + 5*l**2 - 1\/40*l**6 - 1\/3*l**4. Find the second derivative of o(b) wrt b.\nAnswer: -18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.7520323 to 1 decimal place.\nAnswer: 6.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(45) + -1 - (sqrt(90)\/sqrt(2))\/sqrt(9) - (-2 + sqrt(5) + sqrt(50)\/(sqrt(40)\/sqrt(4)))**2.\nAnswer: -25 + 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -7095877085+2212\nAnswer: -7095874873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 + 80. Let y = a - 71. Let c = -0.7 - -0.5. What is the third smallest value in y, c, 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 43361?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0 and 45.01?\nAnswer: 45.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**3\/7 + 157820*u**2\/7 + 225500*u + 3946500\/7.\nAnswer: -4*(u - 39465)*(u + 5)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 757, 5891, 19787, 46825, 91385?\n\"Answer: 730*s**3 + s**2 + 21*s + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1054*p**4 + 20*p**2 - 18*p wrt p.\nAnswer: 25296*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 74) + (-1391 - -1428).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 - 31*p**2 + 12. Let t be i(31). Suppose 1289 = t*s - 907. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, x: 4, y: 3}. What is prob of sequence xay?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 340 = 5*n + s, 310 = 4*n + 4*s + 38. Suppose 5*r = -b + n, -r + 2 + 18 = -3*b. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -3\/5, -1\/9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n, 1 v, and 1 h when four letters picked without replacement from hvhwhnhhvnhhvvxvvhv.\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 - 6*j**2 - 6840*j - 10. Give z(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 385 and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6.34 - 4.097. Let q = y - -0.057. Let l = 0.7 + q. What is the second biggest value in 0.2, -4, l?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 4*a**2 + 480*a - 219856 = 0?\nAnswer: -302, 182","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, w: 6, l: 3, j: 2, b: 1}. Give prob of picking 1 w and 1 l.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22111 + 12?\nAnswer: -22022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0309 and 0.5.\nAnswer: 0.01545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of r**6\/144 - r**5\/8 - 11*r**4\/12 - 17*r. Let c(m) be the third derivative of w(m). Find the first derivative of c(n) wrt n.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 8 - -33e6?\nAnswer: 33ee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -85*l**3 - 81*l**3 + 2*l**2 + 390*l**3 - 235*l**3 - 11 in the form g + t*l + p*l**2 + i*l**3 and give g.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -3*v**3 - 3*v**2 + 15*v + 1. Let q be o(-6). What is the greatest common factor of q and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - 8*o**2 - 2. Let u be s(8). Is u at most 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of f**10\/6048 - f**6\/360 + f**4\/6 + 3*f. Let t(o) be the third derivative of p(o). Find the second derivative of t(v) wrt v.\nAnswer: 100*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 40 - 21. Let r(o) = 20*o - 16. Let h be r(5). Let m = h + q. What is the remainder when m is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2*-1)\/(-2) + -26 + 26. Differentiate -t - 13 - 22*r - 38*r + 0*r with respect to r.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.435 from 116067628192.\nAnswer: 116067628192.435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.221539 to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l - 3. Let w be n(-11). Let h be (w\/6)\/(1\/3771). Let r be 3\/7 - h\/49. Round r to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1255 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 38 - 476*n + 57*n - 43 + 5 to t*n + j and give t.\nAnswer: -419","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 408, 411, 414, 417, 420?\nAnswer: 423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, 4\/9, 1\/47, -1.28, -1\/47, -14, -1\/3?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2059, 3777, 5191, 6301, 7107, 7609?\n\"Answer: -152*w**2 + 2174*w + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - 122101212100?\nAnswer: -122101212100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -2\/9 (b) 1 (c) -3\/47 (d) 0.16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r = 2*c + 3*c, -24*r = -20*r - 4*c. Solve -2*d = w + 5 - 7, w - d - 2 = r for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence amrr when four letters picked without replacement from {z: 2, m: 1, a: 3, r: 4, o: 4}.\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1602 and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13089669 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3488 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m - 875*m**2 - 88*m**3 + 875*m**2.\nAnswer: -88*m**3 - m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 4*j - 112 + 10 = 0, 0 = -2*b - 3*j + 184. Calculate the remainder when 1374 is divided by b.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -136 + -41450?\nAnswer: -41616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1396193?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (8 - -15) + -35 + (7 - -1 - 3).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2167420 divided by -433484?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*u = -14*u - 117. Suppose 2*w = -2*w + 16. Suppose -180 = 4*j - u*j + w*s, 3*s + 15 = 0. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6\/7 (b) 6.4 (c) -65 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3241, 3315, 3437, 3607?\n\"Answer: 24*l**2 + 2*l + 3215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(1 + 16\/(-20)). Let t(a) = -7*a**2 - 2. Suppose x = -3*x + 12. Let c(k) = -4*k**2 - 1. Calculate v*c(s) + x*t(s).\nAnswer: -s**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 s, and 2 r when four letters picked without replacement from ororososerrsses?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 - 11*p**2 - p + 20. Let d be m(11). Let j = d + -2. Suppose -3*k - j = -19. Calculate the remainder when 8 is divided by k.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 + 5*d - 3. Calculate u(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + 0)**2 + 3 + -5.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 6*d**2 - d - 1. Let o be q(1). Solve 3*u = -u - o for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 35232252432 - 10.\nAnswer: 35232252422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -214243*h**4*p**2 - 67*h**2*p**2 - 14*p**2 - 417424 with respect to h.\nAnswer: -856972*h**3*p**2 - 134*h*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of -2*x**4\/3 + 10*x. Let h(d) = -2*d**2. Calculate m(h(w)).\nAnswer: -32*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*o - 16*o - 256 = 2*g, -3*o = 2*g - 744. Suppose 0 = 6*d - o - 8. Which is smaller: 133\/3 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -56587078\/7 < -8083867?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a**2 - 298660*a - 2987100 = 0. Calculate a.\nAnswer: -10, 59742","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -5*g**2 - 2. Let b(t) = 25*t**2 + t + 11. Let v(w) = -4*b(w) - 22*m(w). Find the second derivative of v(f) wrt f.\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11435*n**3 + 34385*n**2?\nAnswer: -68610","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 217 = -32*m for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -157.\nAnswer: -785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.1 - -5.1. Let j = -2\/23 - -29\/69. Which is the third biggest value? (a) q (b) j (c) -5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69 = -7*w + 27 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4.4 + -0.4. Let g = 0.06 + -0.36. Let t = 8 - 9. What is the nearest to t in r, 0.3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -89010 by 116.\nAnswer: -44505\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-697)\/(-902) + (-6)\/22.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of -2*i**3\/21 + 5*i**2\/7 - 12*i\/7 + 31. Find k such that j(k) = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k**2\/3 + 1031144*k + 398721730776 = 0. Calculate k.\nAnswer: -773358","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a millennium in centuries?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1007 + 1010. Suppose x = -0*x. Sort z, -8, x in decreasing order.\nAnswer: z, x, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 11 (b) -0.1 (c) -5 (d) 2 (e) -0.1457\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 191250?\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1021212 + -11?\nAnswer: -1022000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-15) + 33480\/4050\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 123*s**2*t**3 + 19*s - t**3 + 1 wrt s.\nAnswer: 246*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1111 + -21002?\nAnswer: -22120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1\/3, -2\/7, -71, 5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -24548786 divided by -12274393\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-12)\/(i\/i**(-4\/19)) assuming i is positive.\nAnswer: i**(-251\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3820ba67 - 5?\nAnswer: -3820ba70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2. Let d = -13 + 41. Suppose -32 = -10*a + 8*a. Let v(k) = a*k**2 - 28 + d. Determine v(b(s)).\nAnswer: 16*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/2 + (-3453)\/1224. Let b = c - -10\/51. Let z = 736 + -762. What is the third smallest value in 2, z, b?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 + 32*x**2 - 4497*x + 67854. Give o(16).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -57 + 258. Suppose -2*n + a = -111. Let c = n - 41. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -21384222 - 0.321.\nAnswer: -21384222.321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*f + 36 = 2*t - 41*f, -2*f = 7*t - 66 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of 5*r**2\/2 - 3*r - 77. Let n(j) = 15*j - 8. Determine 4*n(a) - 11*p(a).\nAnswer: 5*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 29598 or 29594?\nAnswer: 29594","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - k = -4*x + 26, 5*x - 31 = -2*k. Let z be 16\/7 + (-2)\/x. Suppose -p + 753 = z*p. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*h - 8*h + 114. Suppose -h = 4*g - j - 11, -5*g - 58 = -j. Let z(a) = -a**3 - 12*a**2 + a + 15. Let t be z(g). Solve -t*x + 4*x - 3 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27736569?\nAnswer: 3, 7, 37, 73, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -20.5604 to the nearest integer.\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(7) + -1)*4 + sqrt(7) + 1 + sqrt(28)\/sqrt(4))**2.\nAnswer: -108*sqrt(7) + 783","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 43 = 10. Let l = -7 + q. Solve 5*d + 19 = 3*t - 8, 2*t = -l*d - 4 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -18*f**2 + 705*f - 22. Give x(39).\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 + 5*u. Let f be s(6). Let g = 8 + f. Let 2*b + 2*b**3 - 2 - 3 + 7 - 4*b - g*b**2 = 0. What is b?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u**2 - 76*u - 3. Let r(q) = 6*q**2 + 230*q + 10. What is 3*r(h) + 10*s(h)?\nAnswer: -2*h**2 - 70*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q**2. Let j(k) = -34524663*k**2. Calculate f(j(l)).\nAnswer: 2383904710527138*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 3 - 3)*(83 - 19*x - 83)*(4 - 8 - 20 - 1) in the form d*x + y and give d.\nAnswer: -475","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the third derivative of -o**7\/7560 + o**6\/270 - 2*o**5\/45 + o**4 + 21*o**2. Let f(s) be the second derivative of c(s). Factor f(d).\nAnswer: -(d - 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -7 + (2 - 0) - -33. Suppose 0 = -7*t + 4*t + 2*o + b, 0 = -3*t - 3*o + 48. What is the highest common divisor of 204 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9450 = -2*f - 5*f. Is f a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 31 + -31.0035. What is q rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -4*k**4 - 12968*k**3 - 14035632*k**2 - 5094718616*k - 25124320780 = 0.\nAnswer: -1079, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-27 - (3 + -13) - 25)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -137*s + 136*s. What is the third biggest value in s, 2\/9, -0.8?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -86, -96, -98, -86, -54, 4?\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 3016, -2, -134, 5 in decreasing order.\nAnswer: 3016, 5, -2, -134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 276 is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -531 - -1064. Let s(a) = a**3 + 21*a**2 + a + 21. Let l be s(-21). Suppose 3*v + 2*f - 323 = l, -5*v - f + q = -3*f. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 22*f + 37 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 188 + -187.7. Sort -14, 0.5, x, -0.3, 0.4.\nAnswer: -14, -0.3, x, 0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -261 + 189.4. Let s = 71.60381 + j. What is s rounded to three dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 211855996 and 789.937.\nAnswer: 211856785.937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -5*v - 10, m = -0*m - 2*v + 3. Suppose -2*c - m = 3*c. Is (-1)\/(((-2)\/c)\/(-158)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a tonne in kilograms?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 120 + -125 + ((-21)\/15)\/(8\/(-20)). Let p = 1 - 0. Let o be 6\/(-56)*4*p. Put n, o, 2, 0 in ascending order.\nAnswer: n, o, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1011.\nAnswer: 3, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 - 2 - (2 + 47 + (365 - 423))?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -4\/7 (c) -37 (d) -8 (e) -825 (f) -0.5 (g) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-8) + 91\/28. Let u be ((-5)\/j)\/((-1)\/(-9)). Calculate the remainder when 48 is divided by -10*-1*u\/(-6).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/7, 6973, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1251514, 1251439, 1251360, 1251277, 1251190, 1251099?\nAnswer: 1251004","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 3*d**3 + 5*d**2 - 11*d + 2. Let b be u(6). Suppose 766*t = b*t + 1160. Is 58 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 401558*l + 1. Let t(u) = u**2. Calculate h(t(s)).\nAnswer: 401558*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1094, 5, -1\/14, -1, 4 in descending order.\nAnswer: 5, 4, -1\/14, -1, -1094","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 292344917?\nAnswer: 43, 6798719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10291.17 + 10291. What is the second biggest value in -0.5, o, 2\/13, 45\/2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + -3. Suppose 2398*m - 5617 = 11169. Let w = 0 - 0. Put m, w, i in descending order.\nAnswer: m, w, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 2*t - 9 = -3*l, 2*t - 3 = -l. Let c(o) = -l*o + 6*o - o. Let v(w) = -2*w**2. What is c(v(q))?\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (160\/400)\/(1 + 12\/(-15)). Solve -5*v - 15 = -5*c + 5, -2*c + 12 = s*v for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2211*y**2 + 129.\nAnswer: 4422*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83097 is divided by 2967?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1532601359 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z - 9*z**4 + 1 + z**2 + 10*z**4 + 2*z**3 - z**5 - 3*z**2.\nAnswer: -(z - 1)**3*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 2*p**4\/3 + 6554*p**3\/3 - 13114*p**2\/3 + 2186*p = 0.\nAnswer: -3279, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the first derivative of w**3\/3 + 703. Let p(d) = -2*d + 372. Give v(p(u)).\nAnswer: 4*u**2 - 1488*u + 138384","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 40\/(-16)*(-88)\/10. Let d = 19 - t. Sort 1, -6, d in decreasing order.\nAnswer: 1, d, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 6\/31 (b) 1\/6 (c) 3 (d) 0.2 (e) 5\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-8 + 5 + (-6)\/(-4)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*o - 74*o + 0*o + 80*o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -55443 (base 8) in base 12?\nAnswer: -11603","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -3\/368695 and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -505, -704, -891, -1084, -1301, -1560, -1879, -2276?\nAnswer: -2769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 80 = 8. Suppose u - 7 = 3*n. Suppose -i = -6*i - n, m - 415 = -4*i. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0006497206198 to seven decimal places.\nAnswer: 0.0006497","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2354, 2304, 2252, 2198, 2142, 2084?\n\"Answer: -w**2 - 47*w + 2402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-12) + 50\/3. Is 17 not equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*p + 134281 = 43372. Suppose -6*w = -p - 1355. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2619 and 297.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 36*v**3 - 48*v**3 + 4*v**4 - v**4.\nAnswer: 3*v**3*(v - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17.1 - 17. Are v and 45 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**2 + u - 3. Let z be r(0). Let h = -0.1 - -0.4. What is the third smallest value in z, h, 2, -9\/7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 10*i**3 + 1050*i**2 + 38*i + 24. Let o(w) = -4*w**3 - 420*w**2 - 15*w - 10. Give 5*f(n) + 12*o(n).\nAnswer: 2*n**3 + 210*n**2 + 10*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5398747?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((y*y\/((y\/(y**9*y))\/y))\/y)\/y)\/y)\/y**(6\/13))**(-36) assuming y is positive.\nAnswer: y**(-3996\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 16. Let d(t) = y - 2 - 15 - 2*t. Let b be d(-8). Is b less than 17\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - (-33)\/(-15))\/(63\/(-5) - -12). Let w = 0.1 - 5.1. Which is the smallest value? (a) w (b) 4 (c) 19 (d) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -3.62.\nAnswer: 1.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-11)*z**12*(z**0)**(-29\/4) assuming z is positive.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 2*s + 84. Let g = 13 + s. Let t be 12*(6\/(-10) - (-11)\/g). Put -1, t, -2 in increasing order.\nAnswer: t, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - 0 - -4 - -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 330865 a multiple of 399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 1\/6, 0.4, 0.096, 11871?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 112079880 a multiple of 3410?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 + 12. Which is the smallest value? (a) s (b) 2 (c) 8 (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 254 = -5*a + 3109. List the prime factors of a.\nAnswer: 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (-8)\/(-4)) + (-6 - 1107\/(-205))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/3 (b) -4 (c) 12 (d) -2\/17 (e) 0.07 (f) 0.004\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a**2*w**3 + 2584269*a**2 + 4695507*a*w**3 wrt a.\nAnswer: -4*w**3 + 5168538","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmpiiummmitp. What is prob of picking 1 p and 1 m?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 105 = 3*h, -5*h + 4*h = 10*m - 19*m + 14*m + 22 for h.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 58 + -34. Let f(r) = -5 + 0*r + 3 - 3*r + g. Is 2 a factor of f(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 + 0*l**3 - 8*l**3 - 2 + 3*l**3 + 3*l. Let n be m(1). Let f(b) = 27*b + 5. Let k(c) = -14*c - 3. Let z(i) = n*k(i) - 3*f(i). Determine z(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -63682286*h**3 - 98011429 with respect to h.\nAnswer: -191046858*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 69 = n, 0 = -8*n + 3*n + 2*s + 311. Let u be (-18)\/n - 296\/(-1134). Which is smaller: 1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -4*j + 2. Let h be 3\/18*8*3. Let m(r) = -6 + h + 1 + 2*r. Let s(c) = 2*k(c) + 5*m(c). Give s(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 15 - 0. Suppose 2*b + 22 = 3*k, 2*b + 46 = m*k + b. Calculate the remainder when 28 is divided by k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (-6 - -19))\/(-12 + 10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -5*2*sqrt(2) + (sqrt(32))**2*4 + 2 + 0 + -3.\nAnswer: -10*sqrt(2) + 125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -155*m + 2*f = -156*m + 32, -m - 3*f + 35 = 0. Let h(j) be the second derivative of 0 - 1\/3*j**2 + 7\/72*j**4 + 1\/3*j**3 + m*j. Factor h(n).\nAnswer: (n + 2)*(7*n - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/162, -1.3, -1\/3, -2\/45, 0.4?\nAnswer: 1\/162","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -98 - -152. What is the greatest common factor of f and 81?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 15409 - -4?\nAnswer: 15413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -402 divided by -134?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + c = 265, -8*g + 670 = -3*g - 5*c. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tyylvt. Give prob of sequence lyyt.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 323, 1262, 2807, 4952, 7691, 11018, 14927, 19412?\n\"Answer: -u**3 + 309*u**2 + 19*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**1*r)**(3\/17)\/(r\/(r**(-2\/5)*r))**(-2\/3) assuming r is positive.\nAnswer: r**(203\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -150405*p**3 - 10*p**2 + 8*p + 1. Let r be d(3). What is r rounded to the nearest 100000?\nAnswer: -4100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14 + 19. Sort q, -1, 11.\nAnswer: -1, q, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 25? (a) 10 (b) 2\/45 (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 16 - 32 = 2*b, 8 = 2*b - y for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2134779356.\nAnswer: 2, 3001, 177839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-14))**(-11)\/(a\/(a\/(a*a\/((a**(-9)*a*a)\/a)))*a**(-10)) assuming a is positive.\nAnswer: a**143","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*o**5\/4 - 10641*o**4\/2 - 947745*o**3\/4 - 189058*o**2 + 1916847*o + 2779524 = 0. Calculate o.\nAnswer: -21057\/5, -44, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*w + 215*w**5 + 4*w - 214*w**5 + (-2*w + 2*w**4 + 2*w)*(-3*w + 2*w + 2*w).\nAnswer: 3*w**5 - w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(980) + 1*sqrt(980)*4))**2.\nAnswer: 220500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 20*m**2 + 1642*m. Let x(l) = -6*l**2 - 547*l. What is 7*x(p) + 2*y(p)?\nAnswer: -2*p**2 - 545*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 27 = 4*x, -2*x - 15 - 3 = 4*i. Let d = i + -18. What is the common denominator of -83\/8 and 207\/d*14\/20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4753?\nAnswer: 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 182, 309, 658, 1343, 2478, 4177?\nAnswer: 6554","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -375867807.9 rounded to the nearest one million?\nAnswer: -376000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1617255 to the nearest integer?\nAnswer: 1272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, -13, 1 in ascending order.\nAnswer: -13, 1, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 96 = 10*m. Suppose -z + 6*z = 25. Let s be (1 + z)*22\/m. Solve 15 = 3*f, -2*t + 5*f - 10 - s = 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -5884, -5881, -5878, -5875, -5872?\n\"Answer: 3*t - 5887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 + 5. Let b(n) = -2*n + 4. Suppose 0 = -k + 5*m + 2, -2*k + 2 = -k - 4*m. Let y be b(k). What is the second smallest value in f, 3\/2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 27753693?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 216*q**2 + q. Let y(x) = -2*x. Determine z(y(u)).\nAnswer: 864*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -40*z**3 + 9*z**3 + 312*z**3 - 6346*z - 24*z**3 + 273*z**3 wrt z?\nAnswer: 3180*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g - 1 + 1)*(2 + 4 - 5) + 8*g - 3*g - 2*g + g - g + 2*g + 2 - 2 - g.\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -102263\/5 + 20453. Which is the nearest to 0? (a) 2\/15 (b) 0.02 (c) -0.03 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4 - 7\/((-28)\/(-8)). Let d(b) = b**2 - 7*b + 2. Let m be d(6). What is the second biggest value in m, 0.2, l?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -5 (b) -3 (c) 5\/6 (d) -3492 (e) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 + 5. Let y = 3 + f. Let q = 5.1 - 0.1. Which is the closest to y? (a) q (b) 1\/2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119*b - 142*b + 184 = 0. Suppose -10 + 5 = 5*s. Let t be 0\/(s + 0) + 2. Solve 2*q + t = -b for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 3*g + t, -2*g - g + 3*t + 21 = 0. Solve y = g*m - 2*y + 11, -5*y + 9 = -m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*d**6 - 10*d**3 + 104*d**2 - 28*d**3 + 58*d - 208*d - 109*d**2 wrt d?\nAnswer: -840*d**3 - 228","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 8:02 PM?\nAnswer: 1:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -1769*z + 14. Let d(v) = -v**2. What is d(n(h))?\nAnswer: -3129361*h**2 + 49532*h - 196","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6\/713 - -701\/1426. Suppose 1\/2*b + c*b**2 + 1\/6 + 1\/6*b**3 = 0. What is b?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16 and 1184.\nAnswer: 1184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 23*f - 20*f - 2088 = 0, 5*f - 5 = 0. What is the hundreds digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12)\/8*-2 + -8. Let d be 3*(-10)\/75*x. Let a(j) = 3*j + d*j - 9 - 1 + j**2. What is a(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**3*y)\/(y*y**3*y))**(-29))**(-34) assuming y is positive.\nAnswer: y**(-986)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -19117*c**3 + 43*c**2 - 74*c wrt c?\nAnswer: -114702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.3884 + -1.358. Let m = x + 0.92. Round m to 3 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 15*l - 14. Let g(w) = 5*w + 1. What is g(o) - q(o)?\nAnswer: -10*o + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000118047 rounded to 6 decimal places?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three quarters of a kilogram in grams?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2*z + 1. Let o(x) = 35*x + 68. Let v be o(-2). Let t(m) = -1 + 1 - 1. What is v*t(s) - a(s)?\nAnswer: 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 4*k**2 - 5*k - 19. Suppose b = 6*b - 5*m - 10, -5*b = m - 34. Is g(b) a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43093714?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, n: 1, m: 4, w: 2, f: 1, v: 3}. Give prob of sequence vnvv.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + (0 - -2 - 3) - 25) + 144 + -144.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 2*v**2 - 3*v + 3. Let u be s(0). Suppose -4*c + 51 = g, u*g - 170 = c + 4*c. Does 11 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6676 (base 9) in base 14?\nAnswer: -1b21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 214115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -j**2 - 4*j + 4*j + (0*j + 3 - 2 + 2*j)*(-33*j + 120 - 120) as b + s*j + f*j**2 and give s.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3869 > 328887\/85?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -53675, -214777, -483293, -859217, -1342543?\nAnswer: -1933265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 + 10*w - 7. Let j(c) be the second derivative of c**3\/2 - c**2 - 15*c. Determine 7*j(r) - 2*p(r).\nAnswer: -2*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4375c (base 16) to base 10\nAnswer: 276316","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wu when two letters picked without replacement from {n: 1, s: 1, u: 1, w: 1, j: 3}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*24\/(-8)*(-7)\/6?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9594 - 9589. Let x(a) be the second derivative of -11\/14*a**4 - 3\/5*a**d - 2\/49*a**7 - 3\/14*a**2 - 4\/7*a**3 - 17\/70*a**6 + 0 + 25*a. Factor x(s).\nAnswer: -3*(s + 1)**4*(4*s + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a = w - 4*a + 24, -52*w + 60*a = 57*a - 187 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -77757\/22 - -3534. What is the common denominator of a and ((-6)\/(-4))\/(102\/63)?\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/5 + 96\/(-20) + 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -332624405923 - -1?\nAnswer: -332624405922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 15928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 20302 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -13*a. Let u(h) = -h**2 - 4*h - 3. Let t be u(-2). Let k(p) = -4*p + 6. Let z(i) = i - 1. Let o(y) = t*k(y) + 6*z(y). What is c(o(x))?\nAnswer: -26*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0 + ((-24)\/(-3))\/2. Suppose -56 = -z*t - 0*t. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3306143 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -39172.5 to the nearest 1000.\nAnswer: -39000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -19 + 32. Let t = s - -4. Suppose 6*k - 20 = 4. Solve k*u = 2*o + 2, 2*u + 2*o + t = -3*o for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1036, 1028, 1018, 1006, 992?\n\"Answer: -r**2 - 5*r + 1042","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/438 and (-99)\/(-297) + (-2257)\/6132?\nAnswer: 6132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f. Let i(w) = -5*w + 1. What is -4*c(t) + i(t)?\nAnswer: -t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*k - 1 + 4*k + 1 in the form c + n*k and give n.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 37 = -3*x. Suppose 39*l - 2 = x*l. Is 1\/29 != l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2225, 751, 3727, 6703?\n\"Answer: 2976*b - 5201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3804431 is divided by 161.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 3*d - 3. Let c(m) be the third derivative of -m**4\/24 + m**3\/6 + 4*m**2. What is -8*c(y) - 3*r(y)?\nAnswer: -y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 83752?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 4*u = 14, -4*l - 3*u - 5 - 1 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/7 of a week in days?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**6\/(x*x**(1\/43)*x) assuming x is positive.\nAnswer: x**(171\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -130*h - 2489 + 19 for h.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 143*f**3 - 274*f**3 + 151*f**3.\nAnswer: 20*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 208762766 to the power of 1\/3, to the nearest integer?\nAnswer: 593","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i**3 + 243*i**2 + 11*i + 13567. Calculate v(122).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(3240))\/(sqrt(8) + (sqrt(16)*-6)\/sqrt(2)).\nAnswer: -27*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/(-1)*(882030\/(-20) - -9). Suppose -4*l + 60238 = 3*u - 27975, -3*l - p = -3*u. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the second derivative of -113*t**7\/42 + 49*t**3\/3 - 112*t. Find the second derivative of f(b) wrt b.\nAnswer: -2260*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3334849, 6669698, 10004575, 13339492, 16674461, 20009494?\nAnswer: 23344603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 213780 + 213783 = -3*z, -3*c + 15 = -4*z for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 7 = -3*c, -2*c + 5*v = -3*c + 8. Suppose p = 2*q + 196, 4*p = -c*q + 5*q + 766. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.254 - -18.556. Let s = i - 21.809101. Round s to 4 dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (328\/24 + -7)*8\/60?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 + s + 1. Let g be l(-1). Suppose 2 = -3*u - 1, 2*x + 1 = -u. List the prime factors of 4 - (1 + (g - x)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 23700 and 36024.\nAnswer: 900600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*6*sqrt(12) - (sqrt(108)*4)\/sqrt(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssllssllsclsll. Give prob of sequence ssll.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2721, -10877, -24471, -43503, -67973?\n\"Answer: -2719*b**2 + b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*c = -27*c, -3*b + 30 = -2*c. Solve -s - 45 = -b*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 5*13\/(-13).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -287*m - 13560. Calculate p(-47).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 186800523 a multiple of 5277?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1475147 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 - 7*x + 2. Let h be u(-7). Is 13 a factor of h*13\/(-6)*-9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11 + 2324411?\nAnswer: 2324400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*p - 50*p + 34 = o, 3*p - 22 = o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != 3\/57629168?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 = 5*d - x + 4*x, -5*d - 2*x + 21 = 0. Suppose -4*y = d*c - 6*y - 67, -3*c + 38 = y. Let o = 1 + c. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 59, 56, 53, 50, 47, 44?\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oyoyozu. What is prob of picking 1 y and 1 z?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 5 - 37 = -2*b, 0 = 2*b + n - 11. Factor 3\/4 + p + 1\/4*p**b.\nAnswer: (p + 1)*(p + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 159*b + 5431*b**2 - 159*b.\nAnswer: 5431*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 3 + (-1 - 1) + -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 6893069, 6893242, 6893415, 6893588?\n\"Answer: 173*y + 6892896","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*(-2)\/(-3)*252\/84?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 768 + -279. List the prime factors of z.\nAnswer: 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/1*8\/5. Suppose 4*x + 226 = -390. Let s be (x\/10 + 1)\/((-13)\/65). Calculate the greatest common factor of q and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17014.\nAnswer: 2, 47, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5127 - -20609\/4. Find the common denominator of (-214)\/3*4\/(-32) and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s = 8 - 1. Is s < 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(1*sqrt(1100) + -4 - (2 + -4*sqrt(1100)) - (3*sqrt(1100) + -3 + (sqrt(1100) - -4*sqrt(1100))*1)))**2.\nAnswer: 4500*sqrt(11) + 247725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(-1)\/(-5)*140\/(-112)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -151 by 837.\nAnswer: -151\/837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1000 + -997. Factor 0*v**2 - 2\/3*v**4 + 0*v + 0 - 4\/3*v**d.\nAnswer: -2*v**3*(v + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 AM and 10:21 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/(8\/(-22)) - 2. Solve -15 = -5*m, 4*p + 3*m - 2*m + z = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.11, -1188, 2, -1, 5, -5 in increasing order.\nAnswer: -1188, -5, -1, -0.11, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1\/135 - 854\/135. Let t = -5 - f. Factor -4\/3*a + 1\/3*a**2 + t.\nAnswer: (a - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 3*c + 7. Suppose 3*t - 25 = 5*f + 21, 2*f + 2*t + 12 = 0. Let r be p(f). Let x = 56 + r. Is 13 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 - k**2 - 14*k - 18. Let a be w(-4). Let y = a + 75. Is y a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 159 and 169763028.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b - 6. Let v be p(8). Suppose 0 = 3*i + v*k - 28, -5*k + 2 = -4*i + 1. Let u = 0.1 - -4.9. Put -3, i, u in decreasing order.\nAnswer: i, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*j = 361 - 21. Solve 78*q = 83*q - j for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 66 + (-68 - 33) - -1?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 4*t + 8 = 0, -5*t = 5*o - 2*o - 12 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (5*(-4 - -3) + (-23961)\/(-4890))*-8\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 - -6.9. Let r = -0.7 + p. What is the second biggest value in -1\/3, 2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 662*q**2. Let w(t) = 26*t. Give h(w(u)).\nAnswer: 447512*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*f + 3 + 0 + 19*f.\nAnswer: -2*f + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(1300) + sqrt(1300) + 5) + -4 + 3 + (6*(-3 + sqrt(1300) + sqrt(1300)) - sqrt(1300)))**2.\nAnswer: 380*sqrt(13) + 469301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (378\/504*50\/6)\/(10\/16)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2448.107 weeks in microseconds?\nAnswer: 1480615113600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10922 = 81*d + 25638 - 9937 for d.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 108, 92, 58, 0, -88, -212?\nAnswer: -378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/25 of a hour?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of x**5\/4 - 3*x**4\/4 - 4*x**3 - 9*x**2. Let d(p) = 7*p**2 - 9*p - 12. Let v(o) = -9*d(o) + 4*k(o). Factor v(j).\nAnswer: -3*(j - 4)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/((1\/2)\/(1\/(-2)))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1 + 1. Suppose 0*x = -2*x - o. What is the common denominator of x\/(-1) + (-59)\/10 and 37\/5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 401 is divided by 133?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 392\/147*(4\/(-20))\/(2\/(-135)).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 9 = -3*w. Let o(r) = -w*r + 0*r + 4*r - 2*r. Let y(z) = 3 - 3 - 6*z**2. Give y(o(q)).\nAnswer: -6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -v - 4*s - s, 4*s = 2*v + 24. Let m be (-5)\/(-15)*(v - -3). Which is the nearest to 0.2? (a) -0.2 (b) m (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = t - 0*t. Suppose b - t = -3. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + 423104?\nAnswer: 423111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-389)\/4)\/((-2)\/8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -350 - 269.29.\nAnswer: -619.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 47168 and 76736.\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of h**4 + 3435*h**3 + 6*h**2 - 4*h - 318901?\nAnswer: 4*h**3 + 10305*h**2 + 12*h - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*y**6 - 462850*y**3 + 83*y**2 - 81*y - 17 wrt y?\nAnswer: -240*y**3 - 2777100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -8*y - 3. Let m be g(-7). Let s = m - 36. Calculate the remainder when 66 is divided by s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 12:30 PM?\nAnswer: 4:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 672 is divided by 199.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**12)\/l)\/l**(1\/3)*(l*l**(2\/17)\/l)**11)**31 assuming l is positive.\nAnswer: l**(20491\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.6, 42, -589 in increasing order.\nAnswer: -589, -0.6, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(448) + -2)*-1.\nAnswer: -6 + 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 2*r**2 - 221*r + 4358. Calculate q(26).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -8 - 156\/36) + 93\/(-99)?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d - 15 = 3*d, 3*w = 5*d + 279. Calculate the greatest common divisor of w and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 36*h**2 + 9*h - 37. Let p(r) = -9*r**2 - 2*r + 9. Let x(n) = -2*b(n) - 9*p(n). What is the derivative of x(v) wrt v?\nAnswer: 18*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes before 3:25 PM?\nAnswer: 2:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 5*p. Let q(c) be the second derivative of -c**4\/12 + c**2 - 461*c. Give q(b(y)).\nAnswer: -25*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**3\/6 + 289*t**2\/3 - 10706*t - 977532 = 0. Calculate t.\nAnswer: -58, 318","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - -12)*(744\/99 + (-36)\/198)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37137 (base 15) in base 12?\nAnswer: 85881","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 64957 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -1. Let b(k) = k**3 + 24*k**2 + 28*k + 117. Let u be b(-23). Let m(t) = -8 + 2 + 0 - t. Calculate u*m(h) - 11*a(h).\nAnswer: -2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29758 divided by -412.\nAnswer: -14879\/206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.5, -64, -5, -6\/35, 2\/19?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 + 9*j**2 + 9*j + 10. Let w = 280 - 238. Suppose -w = -4*x - 2*t, 4*x = -16*t + 11*t + 45. Determine g(x).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 + -8. Differentiate -3 + 4*r - o*r - 3*r**3 with respect to r.\nAnswer: -9*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 40788596 + -271410\nAnswer: 40517186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*m = -12*m - 4*v + 12 - 3, 11*v - 114 = -10*m for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 4*v = -14. Let u be 1*4\/v + 48\/28. Solve -7*o + u*o = -5 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 109122615 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 195613301?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -2*l - 17 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -4*s**2 - 5*s - 3. Let d(a) = 3*a**2 + 5*a + 4. Let k(x) = 5*d(x) + 4*r(x). Let y = -17 + 23. Let f be k(y). Solve -n - f = -2*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*c**2 - 15*c**2 - 7*c**2.\nAnswer: 10*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45094007, -45094005, -45094003?\nAnswer: -45094001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 - -11?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.0834 (b) -17 (c) 0.18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -17? (a) 0.3 (b) -1 (c) 0 (d) -18\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, u: 1, s: 2, p: 3, l: 8, g: 1}. Give prob of picking 2 p.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 38, 0.2, 6, -3574, -3 in decreasing order.\nAnswer: 38, 6, 0.2, -3, -3574","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 13) to base 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 421*k**2 - 397*k.\nAnswer: 842","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = -4*z - 294, 5*b - 3*b - 300 = -2*z. Let f = b - 76. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -471*k**3 + 7*k**2 + 13*k - 7. Let n(x) = 157*x**3 - 2*x**2 - 4*x + 2. Determine 7*n(u) + 2*z(u).\nAnswer: 157*u**3 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -872058 divided by 6\nAnswer: -145343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3.3 - -1213.7. Let y = 1216.169 - p. Round y to two dps.\nAnswer: -0.83","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11622, 0, -21, -1.\nAnswer: -11622, -21, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 74747 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 5*s = 5*g - 1970, 4*s - 1551 = g. Suppose 3*u = 5*n + s, n = 3*u + 2*n - 383. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 11465738 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3 and 6942.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u**3 + u**2 - 4*u - 3. Let n be d(-2). Let x = 12 + n. List the prime factors of x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58\/116 - (-11)\/(-7)*(-119)\/(-170)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 2 m when three letters picked without replacement from {k: 2, q: 2, x: 7, m: 2, p: 1, f: 1}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -13230007*f**4*t**2 - 2*f*t**2 + 2*f*t - 54*t**2 - 2*t - 5373 wrt f?\nAnswer: -158760084*f**2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29085 is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7189 - 6754 + 2996)*(0*p + 0*p - 2*p).\nAnswer: 21894*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5078157 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**2 - o + 1. Let z be s(2). Suppose l + 14 = z*l. Solve -4*j + l*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 3*g - 16 = 0, -5*c = 5*g - 110. Let k = c + 7. Is 11 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 147 + -149. Put h, -0.3, -0.4, -1\/8 in ascending order.\nAnswer: h, -0.4, -0.3, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-48)\/(-60)*30\/(-44).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 16*l - 48 = 0, -4*l - 8 = -2*l + 2 - 0 for w.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -1\/2 (b) 5 (c) 22\/3 (d) -0.1 (e) 0.2 (f) -77 (g) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 10. What is the common denominator of k\/11 - 2835\/(-528) and 43\/2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 13*q - 118. Let k be f(9). Sort -8, k, -5 in decreasing order.\nAnswer: k, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1189971219?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:17 AM and 4:36 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 7, l: 3, u: 1, b: 2, g: 6}. Give prob of picking 1 b, 1 l, and 1 c.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -19*f**3 - 2 - 10*f**3 - 2*f + 9*f**3. What is the remainder when 39 is divided by w(-1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 + 16*t**2 + 23*t - 13. List the prime factors of a(-9).\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-159)\/(-33) - (-6)\/33. Suppose i = -0*r - c*r + 7, 2*r - 60 = -3*i. Let v = -18 + i. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kf when two letters picked without replacement from fsks?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fn when two letters picked without replacement from ffnfnfnffffffff.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 24980 - 28489?\nAnswer: -3509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4 + ((-20)\/90 - 10850\/18). Let w = 612 + f. Calculate the greatest common divisor of 39 and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1 - (-69)\/(-33))*243\/(-1458). What is the nearest to 1 in 1\/4, -4, g, 5\/16?\nAnswer: 5\/16","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*j + q + 1, 2*q = -4*j - 8. Let d(i) be the second derivative of i**4\/6 + i**3\/3 - i**2 + 2*i. Let l be d(j). Solve l*f - 4 = 4*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 x when three letters picked without replacement from {x: 4, l: 3, i: 1, r: 5}?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**5 - 25*c**4 - 5*c**3 + 25*c**2.\nAnswer: 5*c**2*(c - 5)*(c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2648 and 29408?\nAnswer: 9734048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/12*-1 - (-3)\/2. Suppose 4*v - 10426 = -a*q, 3*v + q = 8756 - 938. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - (-5 - -5) - (-20 - -14).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = -7*l + 2*l. Solve -2*r - 4*k = 8, l + 4 = -4*r + 4*k for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -59815795 divided by -4601215?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1307.7 and 29.\nAnswer: 37923.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 11 = d, -10*d - 3*j = -7*d - 21. Solve y = 3*a + 17, -3*a - 6 = -d*a - 2*y for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7 - (36\/60)\/((-6)\/(-50)). Find v, given that -1\/5*v**5 - 13\/5*v - 3\/5 - 22\/5*v**h - 7\/5*v**4 - 18\/5*v**3 = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*g**3 + 3 - 3 - 4*g**3.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (3\/10)\/(39\/(-52))\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and 145?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 689141.\nAnswer: 689141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-5)\/2*18\/(-15). Suppose 2*o = -3*n + 3 + 12, 3*n + 3 = 4*o. Solve 2*z - o*g = -5*g, 2*g - 15 = v*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -278.527 and 5444533.\nAnswer: 5444254.473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -295342857*q**3 + 369252565*q**2.\nAnswer: -1772057142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/(-6))\/(4\/(-24)). Let x be 0\/((2 - -2)\/(-2)). Suppose 5*v + 25 = -0*j + 5*j, -5*v - 3*j + 15 = x. Solve f*y + 6 = -v for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -7. Let p be 1*d\/(-1 + -11). Let g be (-7)\/(-14) - 1\/2. Which is greater: p or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/4572348 and 73\/6432.\nAnswer: 36578784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -15526 - 3?\nAnswer: -15530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 76518*g**2*z - 2144*g*z + 2*g wrt g.\nAnswer: 153036*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n + 12. Let v be w(7). Does v = -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-11 + 0 + 4).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40*z + 34*z + 90 + 35*z - 110*z - 90.\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -615162 divided by -61.\nAnswer: 615162\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/((-1)\/(-1)*-2). Which is smaller: 3\/38 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2568417*q**2 - 54*q.\nAnswer: 3*q*(856139*q - 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.14841 times 0.1?\nAnswer: 1.014841","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v - 9*v + 0*v**3 - 6*v + 6*v**3.\nAnswer: 6*v**3 - 14*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 4*q**2 + 25*q + 17. Let u(r) = r**2 + 6. Determine 2*o(p) - 6*u(p).\nAnswer: 2*p**2 + 50*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 34\/1067 - -94513\/81092. Calculate the common denominator of x and -79\/646.\nAnswer: 1292","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 - -6. Let r be ((-12)\/b - 1) + -13. What is the common denominator of -33\/10 and (r\/(-25))\/((-32)\/(-230))?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 121 + -65. Let z be 8\/36 + 56\/(-9). Let d = z - -14. What is the greatest common factor of d and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 8 = -2. Suppose -4*p = -3*s + 8, -p = 5*s + n*p - 23. Calculate the smallest common multiple of 5 and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**3 + 4*a**2 + 3*a - 3. Let i(n) = -n**3 + 5*n**2 + 5*n - 21. Let l be i(5). Determine j(l).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30*x**3 - 3*x + 3*x**4 - 7*x**2 + 12*x**3 + 10*x**3 + 4*x**3 + 2*x**3 to f*x**3 + t*x**2 + z*x**4 + g*x + h and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000630853 rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and (-3951)\/(-72) - 1\/(-8)?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**4 + 8*v**2 = 0. What is v?\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-14)\/(-7))\/(1 - (0 - 0)). Which is the biggest value? (a) j (b) 6 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaafaaafaafaaffaaf. Give prob of sequence af.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 + h**2 - h**2. Let d(m) = -12*m**2 + 3*m + 3. Let o(s) = -14*s**2 + 4*s + 4. Let p(v) = -4*d(v) + 3*o(v). Calculate w(p(g)).\nAnswer: -36*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.31 - 0.61. Which is the closest to k? (a) -3 (b) 0.2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -996, -997, -1008, -1035, -1084?\n\"Answer: -g**3 + g**2 + 3*g - 999","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -34*t**3 + 727*t**2 - 727*t**2 + t**3 - t**3 - 2*t**3 - 3*t**2 + 3*t**2 + t**3 + (0*t**2 + t**2 - 2*t**2)*(3*t + t - 6*t) - 3*t**3 + t**3 + 4*t**3.\nAnswer: -31*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 18 = 3*r - 25, -2*r - 22 = 3*q. Let l = q - -10. Suppose 4*p = -5*x + 448, 2*x + 226 = l*p + 5*x. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/5 + (-54)\/(-15). Let c be 1\/((-2 + k)\/(-62)). Let r = -14 - c. What is the remainder when 49 is divided by r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - -7. Let a(w) = 3*w - 12. Let d be a(b). Let u be (-60)\/d*(-3 + 2). Which is bigger: 9 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1965607, 1965612, 1965619, 1965628, 1965639?\nAnswer: 1965652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40990 + 72*f**2 - 20496 - 20495.\nAnswer: 72*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5436 divided by -6.\nAnswer: 906","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 1, -23, 4 in descending order.\nAnswer: 4, 1, -15, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 399 is divided by 66.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 11 = 5*p, -6*q + 3*q - 4*p + 47 = 0. Suppose -8 - 7 = 5*z, -2*a - 2*z = -10. Calculate the least common multiple of q and a.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -4*t**5 - 4*t**4 + 36*t**3 + 52*t**2 - 32*t - 48 = 0?\nAnswer: -2, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w + 2*a - 102, -w + 0*a = 2*a - 34. Calculate the highest common factor of w and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -40 + 39.6. Let q = 65.06 + -65. Which is the fourth biggest value? (a) q (b) v (c) 0.1 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29128 = -60*i + 16*i. Is 57 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -4*s - l + 2, 4*s = 5*l + 18. Let o be ((-9)\/6)\/((-1)\/s). Let q = -0.2 - -1.2. Which is greater: q or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 - 36*o**2 + 114*o - 93. Let v be g(-39). Let n = 49 + -26. Is n bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**5 + 51*l**4 - 147*l**3 + 145*l**2 - 48*l.\nAnswer: -l*(l - 48)*(l - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + 45 = 5*q. Let n be q\/96*(-1 - -52997). Let f = 4975 - n. What is the common denominator of 29\/18 and f?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 97*m - 4840. Determine o(53).\nAnswer: 301","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -63 + 63. Suppose 5*l = 2*s - 452, l + 3 + 1 = c. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -28 - -28.1176. Let i = q - 0.12. What is i rounded to 3 dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 - n + 2. Let m be j(-5). Calculate the highest common divisor of 80 and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3021.5 to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -649.7 + 651.7. Let g = 16.7 - 2.7. Is g at least as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express r**4 + r + 3 + 3*r + r**2 + 57*r**3 - 56*r**3 in the form y*r**3 + f + u*r + t*r**2 + n*r**4 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*((-30)\/(-195))\/((-8)\/(-26))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18984 and 120?\nAnswer: 94920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 124.811 - 0.611. What is q rounded to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 970600 to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*z - z + 0*z + 90*z**2 + 8*z + 9 - 2*z in the form j + x*z**2 + a*z and give x.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8826.\nAnswer: 2, 3, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 40, 2 in increasing order.\nAnswer: 2, 15, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nh when two letters picked without replacement from mnhhnnxhhmsx?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 36*b - 75. What is the units digit of d(12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2514273?\nAnswer: 3, 838091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 969 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 59768.54ml in litres?\nAnswer: 59.76854","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1991316138?\nAnswer: 2, 3, 7, 601, 78889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*(4 + 10\/(-15)*6). Suppose m = -5*s + 2*m + 34, -28 = -4*s + m. Suppose 2*u - s*u = h. Solve -3*i + 4*k = -7 - u, -i - 3*k - 2 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 573 is divided by 195.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -3, 2133, 1.81?\nAnswer: 1.81","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (4 - (138\/(-42) + 6)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -5*u. Let z = -34.1 + 34. Which is the nearest to 0? (a) z (b) 2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3228563 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 364635, 364633, 364631?\nAnswer: 364629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kdkdkkddddkdk. What is prob of sequence dk?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -15534, 190, 2 in ascending order.\nAnswer: -15534, 2, 190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 33 + -33.1288. Let y = r - -0.12. What is y rounded to three decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-2 - 3) - (-9 - -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/((((k*k**(-18\/7)*k)\/k)\/k)\/k)*(k*(k*k**0)\/k)\/k*((k*k\/(k\/k**(16\/7)*k))\/k)**(-38) assuming k is positive.\nAnswer: k**(-310\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 + 65?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 3*a. Let m be (1 - -3) + (41 - 43). Let b(q) = -2*q**2 - 3*q**m + 31*q - 13*q + 3*q**2 + 9*q. Determine b(i(t)).\nAnswer: -18*t**2 + 81*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5000 + -165001\/33. What is the biggest value in k, -2, -1\/2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand -5*v + 3*v - 4*v + (v + 0*v - 3*v)*((3 + 2 - 4)*(4 + 3 + 0) + 7 - 3 - 7 + (-2 + 2 - 2)*(2 - 2 - 2)).\nAnswer: -22*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -74480 times -215\nAnswer: 16013200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 55790844643 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144 = k + 5*b - 661, 1008 = 2*k - 3*b. What are the prime factors of k?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/10 + (-2)\/5. Suppose -3*v - 30 = -3*c - 0*v, a = 5*v - 10. Solve c + 8 = 4*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -u**5 - 30836220*u**4 + 19811771*u - 3?\nAnswer: -20*u**3 - 370034640*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 537598057 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -74 + 36?\nAnswer: -3e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**3\/9 - 9052*h**2\/9 + 5134720*h\/9 - 5107600\/3.\nAnswer: 4*(h - 1130)**2*(h - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 2, v: 1, h: 1}. What is prob of sequence hovo?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -2*r**5 - 424*r**4\/9 + 2020*r**3\/9 + 776*r**2\/9 - 2038*r\/3 - 496 = 0?\nAnswer: -248\/9, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c - 1 + 3 + 4*c)*(6 - 8 + 3).\nAnswer: 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 38\/75 - 16\/25. Is -2\/9 at least as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 166 + 44. Let n = -32745 - -33123. What is the greatest common divisor of z and n?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + 38 + -28 - (6 - 0) - 7.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 22 + 8*z - 10 + 0*z**2 + 3*z**2. Let u be p(-8). Let y(l) = l**3 + 7*l**2 + 6*l + 4. Let d be y(-4). Calculate the highest common factor of u and d.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 145860*c*j**2 + 2097*c*j + 23*c wrt j.\nAnswer: 291720*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 314 - 305. Suppose -5*j + y = 2*b - 4, 4*j = -b + 5. Solve -l + 2*d + b = -2*d, 5*d = 2*l - 12 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*h - 115 + 10. Let y be ((-21)\/(-56)*1)\/(h\/20). Factor 0 + 9\/2*k + y*k**2.\nAnswer: k*(k + 9)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -9597734.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12 by -530.\nAnswer: -6\/265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 6. Let z = -62 - -66. Suppose -a + 25 = t*a + j, 0 = 4*j - z. Calculate the remainder when 15 is divided by a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 9 - 11 = 0. Suppose 7*v + 4 - 53 = 0. Let g(l) = l**2 - 7*l + 6. Let h be g(v). Solve h*s - s = k for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/2 + (-1)\/1. Let c(k) = 2*k**2 - k. What is c(t)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 73.09 - 73. Let d = 1.09 - r. Which is the closest to 1\/3? (a) 4\/5 (b) 0.02 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-371)\/(-6) + (-14)\/(-84). Let n = 96 + -35. Let x = r - n. Solve 0 = -c + x - 2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2624437 by 2.\nAnswer: -2624437\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 29 = -21. Suppose -u*h - 9 = -22*h. Let i = -116\/75 + -3\/25. What is the nearest to -1 in i, 5\/6, h?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10659, 21320, 31981, 42642, 53303?\nAnswer: 63964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 9:47 AM?\nAnswer: 4:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 235 - 339 = 0. Calculate the remainder when 280 is divided by z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2205 - -1?\nAnswer: -2204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-180)\/(-55) + 82\/(16 - 57).\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-30)\/25)\/((8\/42)\/((-60)\/18)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 41846927 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 - 14*c + 1. Let h be w(14). What is the biggest value in -1.2, h, 0.2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 661200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176110 is divided by 344.\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 2650 divide 970737400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -63 in 4, -1, 1.3, -70?\nAnswer: -70","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -47770367252673.9 - -0.5\nAnswer: -47770367252673.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8133 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*f, 0*f = -5*n + 4*f + 62. What is the least common multiple of 82 and (-10)\/25 - (-264)\/n - 4?\nAnswer: 902","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1271\/43 - 5\/86. Suppose 0*a + 265 = 4*a - 5*c, 5*a - 2*c - 344 = 0. Let w = a + -40. Which is greater: k or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 3 + 3 + (6 - 2 - 2)*(-1 + 4 + 1))*(-n + 6*n - 3*n) in the form x*n + d and give x.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of 5*f**3\/3 + f**2\/2 + 12*f. What is the remainder when 41 is divided by r(2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of -5*h**4\/2 - 3*h**3 - 5. Find the third derivative of v(i) wrt i.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 + -1. Suppose g*o - 40 = o. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2489032366?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.0432, 0.2, -0.3, -3, -214 in descending order.\nAnswer: 0.2, -0.0432, -0.3, -3, -214","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2501, -2504, -2509, -2516, -2525, -2536, -2549?\n\"Answer: -n**2 - 2500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 1 z when three letters picked without replacement from {f: 1, c: 2, z: 1, m: 3, v: 4}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 14) in base 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*q**2 + 4*q**2 + 0*q**2)*(-8 + 36 + 102) + q**2 - q**2 + q**2 to the form b*q**2 + l + r*q and give b.\nAnswer: 261","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 - -18. Suppose -k*n + 4*r + 158 = -774, 3*n + 2*r = 724. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (114\/532)\/((-12)\/14)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 523 is divided by 35.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + 9e3?\nAnswer: 9e0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 2*v = 0, 28*k + 2*v - 5*v = 23*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37921?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 354908.\nAnswer: 2, 83, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + 52 + -53 - (64 + -5)?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of l**5\/20 - 3*l**4\/4 + 4*l**3\/3 - 17*l**2\/2 + 138*l - 11. Determine c(8).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = z - 4*k, -5*z + 5*k = 90 + 65. What is the units digit of (z\/(-15))\/((-3)\/(-10))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5929 divide 1634503611?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-60)\/(-440))\/(48\/64)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 6 (b) 5 (c) -20446 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-213)\/(-4)*(-1)\/27. Let r = 497\/72 - q. What is the common denominator of r and 37\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 113 - 10. Let c = u + -102.896. What is c rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 70 + -79. Let x(f) = f**2 + 10*f + 18. What is the units digit of x(a)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30966 divided by -794\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 - 7*o**2 - 15*o - 15. What is h(9)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -20 from 2850404438.\nAnswer: 2850404458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -23684028 divided by 5921007\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the second derivative of -466*b**8\/7 + 5053*b**4\/12 - b**3\/6 + 8339*b. What is the third derivative of a(h) wrt h?\nAnswer: -447360*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 0. Let x be 238\/34 - 15\/3. Suppose -3*b + 20 = -5*u, x*b + 17 = -r*u - 3. Solve b = 3*h - 2*m - 11, 3*h + 2*m = 3*m + 7 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 9:42 PM?\nAnswer: 7:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in 0.3, -44, -2\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**3 + 5*x**3 - 2*x**3 - 2*x**3 + 2*x - 2*x + (-x**2 - 2*x**2 + 2*x**2)*(-4 + 4 + 5*x).\nAnswer: -5*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 4*r)*(51 - r**2 - 51 - r).\nAnswer: -4*r**3 - 4*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(2\/3))**(32\/5)\/(q*q\/q**0)**(-50))\/(q*q*q**(3\/8)*q**(-5))**(10\/7) assuming q is positive.\nAnswer: q**(1373\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 + 7*u - 1. Let t(p) = p**2 - 10*p + 19. Let j be t(8). What is s(j)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - 1. Suppose 55*l - 244 = -76*l + 149. Which is the third smallest value? (a) 32 (b) t (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 - 21*x. Let t(d) = d**2 - 23*d - 2. Let m(l) = -4*t(l) + 5*u(l). Calculate m(10).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -1\/4, 0, 8, 187, 3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 371 and 2279.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 15, -6, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 382691?\nAnswer: 37, 10343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.3, -0.1, -2917?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 6 = -50. Let f be 4\/q - 687\/21. Calculate the remainder when (-3 - f) + -3 + -1 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 2800 + 9700. Let g be (y\/2)\/((-2)\/1920). What is g rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18092*0.08.\nAnswer: -1447.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 + 4109*n + 451553. Calculate u(-113).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72 is divided by 39.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -55 - 19?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qnlllqlq. What is prob of picking 2 l and 2 q?\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(5) + 3 - (3*sqrt(5) + 0)) + (sqrt(2025) - (sqrt(2025) - 2*sqrt(2025)))\/(sqrt(20)\/sqrt(4)*-4))**2.\nAnswer: -63*sqrt(5) + 2241\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 4\/111 (b) 0.261 (c) 1 (d) 0 (e) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 2:48 AM?\nAnswer: 4:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 197*j - 1341. Calculate a(7).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 8*s + 27. Let a be n(-4). Let h be 1\/(1\/(-450)*a). Suppose -89*f - 6449 = -h*f. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of 21 + 1\/2*o**2 + 0*o. Let u(x) = 11*x**2. Let z(p) = -45*p**2. Let j(a) = 21*u(a) + 5*z(a). What is l(j(f))?\nAnswer: 6*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1972 a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 3*p + 567 = g, 4*p = 5*g - 945. Is g a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 18*l**3 + 12*l**2 + 12. Let s(b) = 9*b**3 + 6*b**2 + 6. Let t(p) = -6*o(p) + 13*s(p). Let h(w) = 26*w**3 + 17*w**2 + 17. Determine 6*h(m) - 17*t(m).\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 4}. Give prob of picking 3 e.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 17950111 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 4*m, -2*b - 5*m + 6 = -68. Let z(y) = -12*y + 1. Let q be z(-3). Calculate the highest common factor of q and b.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -599*z**2 - 46*z**2 + 3655*z**2.\nAnswer: 3010*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:42 PM and 6:20 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6533, -6685, -6939, -7295, -7753?\nAnswer: -8313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -37, -69, -101, -133?\nAnswer: -165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + 2)*(-2 - 2 + 2)*(-8*a**4 + 2*a**4 + 3*a**4) to d*a + q*a**3 + b*a**4 + f*a**2 + o and give b.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 358 by 6.\nAnswer: 179\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n**5\/5 - 8*n**4 + 20*n**3 - 144*n\/5 = 0. What is n?\nAnswer: -1, 0, 2, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7 and 11347.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3262361030 - -82.\nAnswer: -3262360948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1029 and 244112757.\nAnswer: 1029","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-15)\/4140)\/((80\/(-128))\/((-5)\/4))\nAnswer: -1\/138","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2*l**2 + 51*l - 55. Let c be k(22). Suppose 22 - c = -p. List the prime factors of p.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m + 23*m = 20*m - 5*u + 105, -2*m + 5*u + 45 = 0 for m.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 6*d**2. Let u(a) = 12*a**2 - 11*a - 11. Let z(f) = f**2 - f - 1. Let y(j) = -2*u(j) + 22*z(j). Give y(b(i)).\nAnswer: -72*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -68799*i**3 + 28*i**2 - 3*i - 1713140 wrt i?\nAnswer: -412794*i + 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*s - 3 - 9. Let k = -226 - -230. Calculate the remainder when k is divided by s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j**2 + 21*j + 66. Let f = -28 - -73. Let p = -11 + f. Calculate the remainder when p is divided by q(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*r - 35. What is the remainder when r is divided by 1 + 2 + (-2)\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18 + -13 + -49 + 20 + 73.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence byzy when four letters picked without replacement from {v: 4, b: 4, y: 2, z: 2}.\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 620, 1199, 1776, 2351?\nAnswer: 2924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16 + 11. Let i = 0.644 - 0.144. Which is the third smallest value? (a) 4 (b) i (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(119)\/(sqrt(21)\/(sqrt(3)*1)).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18921870?\nAnswer: 2, 3, 5, 11, 23, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (115\/(-1081))\/(-5)*8\/4?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, 8, -4, 11620, -7, -5 in ascending order.\nAnswer: -7, -5, -4, -3, 1, 8, 11620","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -28*n - 72 - 68 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1020\/(-90)*(-3)\/(-2). Is b <= -63\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/20*24\/6\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 r when two letters picked without replacement from {c: 5, a: 1, r: 3, j: 3, g: 1, h: 1}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 109 + -104. What is the smallest value in 2, x, 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*l - 8 + 11 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1.1324 * -0.4\nAnswer: 0.45296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 5*q + 41989 + 59008 = 0, 2*h - 67374 = -2*q. What is the ten thousands digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -h**2 - 8*h + 8*h + 12*h**3 + 2 in the form g + u*h**2 + r*h + m*h**3 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(3\/12)\/(18\/12).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8120 and 155092.\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -175, -145, -107, -61, -7, 55, 125?\nAnswer: 203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.026 - -0.033. Let j = -173413.59299129 + 173413.6. Let n = j - h. What is n rounded to 6 decimal places?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11220200120021 (base 3) in base 8?\nAnswer: -11754752","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36227983 is divided by 47.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -744*v**4 - 8187*v**3 + 8895*v**2 + 36*v = 0.\nAnswer: -12, -1\/248, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + t)*(t**4 - t**4 + 4*t**4) - 1004*t**3 + 2013*t**3 - 1011*t**3 + 145*t**5.\nAnswer: 149*t**5 - 2*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 3:46 PM?\nAnswer: 9:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.035 + 41.965. Let s = 334 - 375.4. Let g = i + s. Which is the second smallest value? (a) 0.2 (b) g (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -1586, -3171, -4756?\n\"Answer: -1585*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-69)\/63)\/((-90)\/(-420))?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/24 - 1*(-5)\/10\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*k**3 + 2*k**2 - k**2 - 3*k**2 + 6*k in the form w*k**3 + h*k**2 + q*k + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12665189 is divided by 71.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x = -2*x + 384. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of -l**6\/60 - 4*l**5\/3 - 5*l**3\/6 + 2*l**2 - 111*l + 2. Calculate p(-40).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -4) + -7 - 2 - -8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 45699 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 292?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -537526 (base 8) to base 11.\nAnswer: -113306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10680 and 10162.\nAnswer: 54265080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**2 + 786*f - 8160.\nAnswer: 3*(f - 10)*(f + 272)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of -1 + 0*y**3 - 7\/4*y**4 - 11\/10*y**5 - 8*y - 1\/30*y**6 + 0*y**2. Solve b(x) = 0.\nAnswer: -21, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(1*(sqrt(320) - -6*-2*sqrt(320)) + -4) + 5)**2*2.\nAnswer: 9152*sqrt(5) + 310098","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + -5. Suppose n - 6 = -q. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 6:20 PM?\nAnswer: 7:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 125 - 55. Is 14 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l + 1. Let y be m(-1). Suppose -4*j + 15 = -r + 3, -y*j + 9 = 3*r. Let w be ((r + -1)\/(-1))\/(-1). Are 0 and w equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -52, -123, -194, -265, -336, -407?\n\"Answer: -71*w + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 0*z + 2*z - 34 + 17 + 19 - 65*z**3. What is the tens digit of d(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15526\/2035 - -12\/407. Calculate the common denominator of -129\/308 and y.\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/7 (b) 1\/2 (c) 0.1 (d) 524\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 4*s + 2. Let d(b) = -9*b + 4. Let z(c) = -18*c + 6. Let g(y) = -7*d(y) + 4*z(y). Give 3*g(r) + 7*w(r).\nAnswer: r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -4\/3, -4, -69 in ascending order.\nAnswer: -69, -4, -4\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 3*i - 63 = -19*i, 0 = -39*x + 36*x - 5*i + 2*i + 12 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 172 (b) 0.4 (c) -26 (d) -0.3 (e) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:49 AM and 6:13 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -7*w**3 - 35*w**2 + 47*w - 49. Let s(v) = 4*v**3 + 18*v**2 - 24*v + 26. Let a(c) = 6*h(c) + 11*s(c). Solve a(i) = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-2))\/(261\/(-4176))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 AM and 9:37 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, t: 1}. Give prob of picking 1 t and 1 j.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -3 + 3 + -8 + 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 18*r**3 + 5. Let v(o) = -1. Let l(g) = -b(g) - 4*v(g). What is the tens digit of l(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, 17, 37, 65?\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of -d**6\/40 + 5*d**5\/12 - 7*d**4\/8 + d**3 - 492*d**2. Find the second derivative of u(a) wrt a.\nAnswer: -18*a + 50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = -4*g + 1, g + 0*p + 3*p = 3 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3 + 61703*w**2 + 4322885*w + 75671925.\nAnswer: -(w - 61773)*(w + 35)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 28, 46?\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2299) + (sqrt(2299)*2*4 - sqrt(2299))**2 + sqrt(2299) + (-2 + 1 + sqrt(2299) - sqrt(2299)) + sqrt(2299) - (-4*(3*sqrt(2299))**2 + -1))*2.\nAnswer: 66*sqrt(19) + 390830","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 3758*s + 11272. Calculate u(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the third derivative of -n**5\/30 - 41*n**4\/24 - 15*n**3\/2 - 2*n**2. What is the remainder when 47 is divided by o(-19)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of -d**5\/20 + 19*d**4\/12 - 32*d**3\/3 + 30*d**2 + 86*d - 2. Solve l(r) = 0 for r.\nAnswer: 2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39 divided by -3243\nAnswer: 13\/1081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve b**5 + 6711*b**4 + 1799834*b**3 - 5439778*b**2 + 5453205*b - 1819973 = 0.\nAnswer: -6431, -283, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20812 = 3*i - 5*z, 2*i = -2*i - 5*z + 27761. Suppose 2*u + 5*j - 5768 = -1155, -j + i = 3*u. Does 12 divide u\/130 - 1\/(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1815512, 3, 0 in increasing order.\nAnswer: -1815512, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/8)\/((378\/16)\/(-7)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1324 is divided by ((-17)\/(-3))\/(14\/252).\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 98982 and 296946.\nAnswer: 296946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 4:48 AM?\nAnswer: 1:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -733 + 1412. Suppose -k + b = 6*k. What is the remainder when k is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**2 - 9*d - 3. Let h be q(-8). Let c be ((-2)\/(-4))\/((-2)\/(-20)). Let w = h - c. Solve w = -8*o + 5*o - 12 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/(k**(-24)*k*k)*k*k)\/k**(-2\/9)*(k\/(k*k*k\/((k\/k**(-20))\/k)))\/k*k\/(k\/k**(-23)))**(-38) assuming k is positive.\nAnswer: k**(-6916\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -269*c + 202*c + 67*c - 3*c**2.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.15 + 0.25. Let l = 0.12 + 2.88. Put l, 1, m in decreasing order.\nAnswer: l, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -5*z + 661. Let r(u) = -26*u + 3267. Determine -11*j(q) + 2*r(q).\nAnswer: 3*q - 737","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -907*p + 962*p**2 - 6*p**2 - 884*p**2 + 2485*p**2 + 2318*p**2 wrt p.\nAnswer: 9750","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.89 + 8164646.\nAnswer: 8164651.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 - (-32 + -6 + 27)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 45 + -46. Let r be (2\/(0 + 2))\/n + 2. Which is greater: 1\/42 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 43*k**4 + 23*k*p**2 + 4640*p**2 wrt k?\nAnswer: 172*k**3 + 23*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.87431 - 0?\nAnswer: 1.87431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/7 and -17\/36.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*k + 14*k + 11*k - 1697*k**2.\nAnswer: -1697*k**2 + 37*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 9 and 4055556.\nAnswer: 36500004","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -5 - -12658030\nAnswer: 12658025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of (-26)\/4*260\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 6493, 6516, 6551, 6604, 6681, 6788, 6931, 7116?\n\"Answer: c**3 + 16*c + 6476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x = 3*z - 10*x + 201, 23 = -z + 2*x. Let p be 1 + 0 + 5*-8. Let t be p\/55 - 1\/5. Which is the nearest to z? (a) t (b) -0.5 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, x: 4, r: 7, i: 2, n: 4, v: 2}. What is prob of sequence iv?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.03? (a) -198 (b) -3 (c) 0 (d) 2\/5 (e) 0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*o - 1039987 = 3509571 + 7918532. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -4 + 2*(3 + -2)*2. Solve 15*d - 39*d = f for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -9 (b) -0.2 (c) 1\/25 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 3*g = -2*g - 21, 30 = 5*q - 5*g. Let i = 147 + -345. Let b = -196 - i. Sort 5, b, -1\/5, q in decreasing order.\nAnswer: 5, q, b, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the second derivative of -n**7\/42 - 11*n**6\/75 - 33*n**5\/100 - n**4\/3 - 2*n**3\/15 + 7*n. Determine b, given that j(b) = 0.\nAnswer: -2, -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 9 - 8. Let k = -58 + s. Let w = -41 - k. Solve 3*c + w = -f, 3*f - 10 = -4*c - 38 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 1 + 2 - 36*b**3.\nAnswer: -36*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 2. Let s(z) = -z**3 - z**2 - z + 2. Let l be s(m). Which is the smallest value? (a) -6 (b) -0.3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 5*b**3 + 425*b**2 + 5778*b + 491135. Give s(-85).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*10\/(-2)*(-404)\/72720.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -79*2 + (9 - 7). Is d > -156?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 290 + -275. Let j be 7*(-1 + 0)*1. Calculate the remainder when (54\/j)\/(15\/(-105)) is divided by w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 88 and 20088024.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 76 - -57. Calculate the remainder when z is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10000 (base 2) to base 15\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 42259?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - (-21944)\/1560)*-1095.\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -81*h + 91. List the prime factors of j(-7).\nAnswer: 2, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = -53*k + 203 + 2125, -3*k + 92 = -k - 3*m - 2 for k.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -8917 + 0.1528\nAnswer: -8916.8472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 200021 (base 3) to base 6.\nAnswer: 2141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 3:11 PM?\nAnswer: 6:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 661\/3 - 221. Which is the nearest to 0.3? (a) f (b) -2\/5 (c) -0.1 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 38600 and 34740.\nAnswer: 347400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 113, 725, 1745, 3173, 5009?\n\"Answer: 204*f**2 - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(56\/16 + (-6)\/2). Factor -68*r**4 + 11*r**5 + 5*r**5 + 80*r**3 - 25*r**w + 9*r**2.\nAnswer: 4*r**2*(r - 2)**2*(4*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of -3*o**5\/20 - 12*o**2. Let v(n) = -3*n. Give h(v(r)).\nAnswer: -81*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-202)\/56 + 2\/(-8). Let l = -419\/105 - f. What is the third biggest value in 2\/3, l, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7635?\nAnswer: 3, 5, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 45 - -6 - (18 - (44 + -24) - -23)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q**3 + 20*q**2 - 4*q + 44. Give c(10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 30 + -28. Suppose -3*l - l - o*l = 0. Suppose l*z = 8*z - 672. Does 28 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 7 + u - 6)*(1 + 1 + 0) to w + n*u and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 452749 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 + -341b?\nAnswer: -3418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*b**4 - 16*b**3 - 12*b**2 + 16*b + 16.\nAnswer: -4*(b - 1)*(b + 1)*(b + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.9878 + 0.0122. Sort -0.3, u, 3\/7, 2\/7 in descending order.\nAnswer: u, 3\/7, 2\/7, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -93831, -93830, -93829?\nAnswer: -93828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 895353 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 182 a factor of 16562?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1892 and -35691?\nAnswer: 67527372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1336282*u**3 - u + u - 1336281*u**3.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 44?\nAnswer: -220","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2882128 and 152?\nAnswer: 54760432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/3 (b) 34 (c) 94\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -171 - -176. Solve -2*o - b = 3*o - 5*c, 14 = -4*o - c for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 9:36 AM?\nAnswer: 4:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 5*m - 5 = -0*f, -m = 5*f + 1. Suppose -4*h + 11 + 117 = f. Suppose k - h = -k. What is the highest common factor of k and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-6)*((-6)\/(-66))\/(((-1)\/6)\/(-1)).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 441183?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000006908075609 to 6 dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 21954 < 21921?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1438261 and 1166?\nAnswer: 583","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7709344 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = k + 720. Suppose 0*b + 4*b = k. Calculate the highest common factor of 40 and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 17*f**3 - 9. Let b(l) = -1 + 7 - 2 - 5*l**3 - 4*l**3. Let x(u) = -5*b(u) - 3*h(u). Find the first derivative of x(m) wrt m.\nAnswer: -18*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1838?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9271501 microseconds in milliseconds?\nAnswer: 0.0009271501","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7647 or -7643?\nAnswer: -7647","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*c**5 - 5*c**4 + 184*c**2?\nAnswer: -180*c**2 - 120*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -166*i**2 - 22 + 188*i**2 - 75 - 9*i. List the prime factors of n(-6).\nAnswer: 7, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 AM and 10:45 PM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -11*n + 0*n**2 + 73 - n**2 - 67 - 4*n**2 + 4*n**2. Determine m(-6).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*n + 4*n. List the prime factors of n*5 + 15\/5.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1029 and 2712101.\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 56 - 51. Suppose -p = 4*w + 12, 9*p - j*p - 5*w = 15. Let u(n) = n + 10. Let x be u(p). Solve -3*o - x - 6 = m, 0 = -5*o + 2*m - 23 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/6*-4)\/(5\/15). Suppose 2*y + 19 = 27. Solve -c = c - l + 8, 0 = s*c - y*l + 16 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -44485.55027 to zero decimal places.\nAnswer: -44486","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {c: 4, v: 6}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -731*x**3 + 190*x + 190. Give h(-1).\nAnswer: 731","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of -5*t**5\/6 + 17*t**4\/24 + 91*t**2. Find the second derivative of f(q) wrt q.\nAnswer: -100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (68 - 75) + (3 - 1) - -10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4 and -321518.5244.\nAnswer: -321514.5244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38 + 816*b - 4 + 40)*(0*b - 5*b + 6*b + 3*b**2).\nAnswer: 2448*b**3 + 810*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (126\/(-462))\/((-1)\/11).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-2 + -2 + -9 + -2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21921 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 228928 and 285888?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-3\/7)\/d)\/d*d)\/d*d*(d**5\/d)\/d*(d**2\/d)**(2\/9)*(d*(d*d**(1\/2))\/d)**(-7\/13)*(d**0*d)**12 assuming d is positive.\nAnswer: d**(22909\/1638)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1605006\/456 + (-2)\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 14\/(-8) + 1 - 414\/(-72). Suppose -4*t = -h*o + 475, -2*o + 4*t = -0*o - 190. List the prime factors of o.\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 495262?\nAnswer: 2, 29, 8539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -3*q**5 + 30*q**4 - 93*q**3 + 90*q**2 = 0.\nAnswer: 0, 2, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7\/(14\/(-6)) - -5. Let z be (-8)\/3*(-1)\/(-36). Let o = z + 11\/27. Sort 2\/17, t, o in increasing order.\nAnswer: 2\/17, o, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the first derivative of -g**2\/2 - 3*g - 3. Let k be a(-3). What is k rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (10\/(-8))\/((1 + -2)\/4). Suppose -8 = j*c - 58. What is the lowest common multiple of 20 and c?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = -3*w, -60 = -1340*i + 1331*i - w - 2*w. Determine d, given that -3\/2*d + 75\/4*d**2 + 0 + 225\/4*d**i = 0.\nAnswer: -2\/5, 0, 1\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 5 + -8 + 3*4\/3. Which is the fourth smallest value? (a) -0.2 (b) -1\/3 (c) z (d) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -108 + 106 + (-216 - -132)?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 + cc6?\nAnswer: cc3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or -369\/67?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -h, 3*g + 5*h - 18 = h. Suppose g*d - 252 = 192. What are the prime factors of d?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26520 divided by -663.\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 + 25*o**2 + 57*o - 35. What is the tens digit of j(23)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 191 = -3*o, -7*o - 2*z = -2*o - 300. Which is smaller: o or 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -39*c + 1. Let u be t(-1). Let x = 61 - u. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g + 3*g - 12 + 3*g**2 + 4 - 2034*g**3 + 2*g.\nAnswer: -2034*g**3 + 3*g**2 + 2*g - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 - n + 93. Let f = -14 - -14. Let l be i(f). What is the units digit of (20\/30)\/(2\/l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -0*o + 44. Is 11 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n + 3. Let h(y) = y - 27. Let v(k) = 51. Let l(i) = -2*h(i) - v(i). What is 6*l(q) - 7*m(q)?\nAnswer: -5*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -4*g - p, 15*g = 10*g + p - 29 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from odynkkro. Give prob of sequence yr.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 2 - 92*m**4 - 108*m**4 + m + 219*m**4 + 2*m**2 in the form h*m**2 + q*m + g + d*m**4 + x*m**3 and give d.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 + 6\/3 - -25. Let r = 34 - y. Solve 0 = r*t - t + 3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 29874, 29873, 29872, 29871?\nAnswer: 29870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 7. Let x be 2461\/6040 + (-2)\/k. Let r = 70623\/6040 + x. Find the common denominator of r and 39\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*p - 47051137 = -77*p - 88*p. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -11*r. Let x(j) = 24*j. Let f(y) = 13*b(y) + 6*x(y). Let k(p) = p. Let v(m) = 5*f(m) - 8*k(m). Determine v(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 28*s**2 + 8.\nAnswer: 28*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -d**6 + d**4 + 825*d**3 - d**2 + 8940*d wrt d.\nAnswer: -120*d**3 + 24*d + 4950","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64332 divided by 6.\nAnswer: -10722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2.2 * -25.1\nAnswer: 55.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -1399148*v + 44772734. Determine m(32).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95 = -3*t - 2. What is the remainder when t is divided by (204\/(-748))\/(2\/(-66))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 - x + 2. Suppose -2*d - 6 = -2*v, 5*d - 5 = 3*v - 2*v. Let k be r(d). Solve -l - 3*l - k = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14105 by 1.\nAnswer: 14105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**2 + 23*m + 15. List the prime factors of o(12).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/10*-3)\/((-15)\/100). Solve g = -11*g - h for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/4, -2, 4, -4 in descending order.\nAnswer: 4, 5\/4, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**4 + 0*z**4 - 2*z**4 + (-3*z**3 + 6*z**3 - z**3)*(-z - 2*z + 5*z))*(2*z - 2*z + 3*z).\nAnswer: 6*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 65735 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: Calculate the greatest common divisor of 21 and 13461.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -95, 4, -1, -39 in decreasing order.\nAnswer: 4, -1, -39, -95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 + 0.2. Let y = -407 - -406.9991. Let q = y - 0.1991. What is the nearest to i in -0.07, q, -0.3?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (22\/(-396)*12)\/(10\/3). Which is bigger: d or -18\/11?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 8, t: 2, i: 4}. Give prob of sequence it.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 - 4*o**2 - 3*o - 1. Determine d(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q + 0*q - 2*q + (-2 - 4 + 4)*(0*q + q + q) + 1 - 1 - q + 15*q + 18*q + 6*q + 56 - 49 to the form m*q + g and give g.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2895\/31845*(3 - 2).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - 31) + 0*(-3)\/(-12). Let n be (2*(-20)\/25)\/(4\/m). What is the third derivative of -10*q**2 + n*q**4 + 0 + 33*q**2 + 0 wrt q?\nAnswer: 288*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4424 rounded to the nearest 100?\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c**4)*c*c*c)**18\/(c**(-22)*c*c**(-7)*c))**(-1\/11) assuming c is positive.\nAnswer: c**(-9\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 78.37083kg in milligrams?\nAnswer: 78370830","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 - 17*b - 2089. Determine i(0).\nAnswer: -2089","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28 - 26. List the prime factors of h\/6 + (-424)\/(-6).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13415741 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 5*q - 8 - 13, r = -3*q + 7. Let z be (9\/(-5))\/((-6)\/10). Let m be (-16)\/3 - -1*1\/z. Sort 3, r, m.\nAnswer: m, r, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 - (8 + (11 - 9) + -13)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 244*y - 4768 - 6907 = -939 for y.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) -0.2 (b) 453 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a factor of 26564?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g**2 - 672*g - 28224 = 0. What is g?\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1792 divided by 128.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3195.999988431 - 3196. Round q to seven dps.\nAnswer: -0.0000116","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 19 + 111*s + 121*s + 15 - 230*s. Determine x(-15).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10000100111 (base 2) in base 12?\nAnswer: 747","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -12*(0 + 3)\/(-9). Let z = 13 + 76. Suppose 0 = h*k - 3*g - z, 0 = -2*k - 0*g - g + 37. What is the highest common factor of k and 160?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -70*y - 5*y**3 + 4*y**3 - 4*y**3 + 3*y**3 to the form w + t*y**3 + z*y**2 + v*y and give v.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59*s + 173 = -181. Which is the smallest value? (a) 2\/7 (b) s (c) 1\/112\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1755481215 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 20082 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 48\/11766025?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:06 AM and 5:15 PM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/6)\/(2\/42). Which is bigger: x or -8?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003449 to seven dps.\nAnswer: -0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 6*l = 476. Suppose -3*a + 4*z + 22 = 8*z, -z - 5 = -a. What is the remainder when l is divided by 1045\/57 + (-2)\/a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.12104 to 2 dps.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a - 2*o = 32, o = 15343*a - 15348*a + 19 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 194 - 126*x + 8*x**2 + 126*x - 141 to f*x + n + l*x**2 and give n.\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 306090 (base 11) in base 13?\nAnswer: 142797","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -55865, -55931, -55997, -56063?\nAnswer: -56129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 58 - 59. Suppose 0 = 4*v + v. Which is bigger: v or g?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17365 or -36\/7?\nAnswer: 17365","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.5 + -1. Let a be ((-280)\/147 + 1\/3)*39. Let x = a - -61. What is the nearest to x in 4, g, 6\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = i - 1145 - 1576, -4*i = -4. Let s = -407 + f. Let u(k) = k**3 - 5*k**2 + 5*k + 3. What is the remainder when s is divided by u(5)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 143 + -199. Let g = l + 199. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1325475 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -3, 21.40305?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 300959 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 770 or 970?\nAnswer: 970","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 181\/(16652\/(-2898))*2\/(-98).\nAnswer: 9\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/12 - 1\/(-3). Suppose a*r + r - 3 = 0. Suppose r*x - 195 + 15 = 0. Is 20 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 10:44 AM?\nAnswer: 10:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one sixth of a day?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 l, and 1 q when three letters picked without replacement from qiplql.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 111, 0.14, -0.09, 0.137, -0.5 in descending order.\nAnswer: 111, 0.14, 0.137, -0.09, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28 - (1 - (5 + -1)) is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/3442998 and -9\/1147666.\nAnswer: 3442998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert f (base 16) to base 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -454 + 830. What is the remainder when 76 is divided by 3\/(-7) + m\/28?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31 + -26. Let u(k) = -22*k + 149. Let o be u(7). What is the nearest to m in o, -1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.37250709 + -0.085.\nAnswer: 0.28750709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - 2) + -2 - 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**2*d)**(-50)\/(d\/(((d*d**(2\/7))\/d)\/d*d*d)*d\/(d*d**(-4)))*(d**1)**(25\/4)*d**1*d**(3\/2)\/d assuming d is positive.\nAnswer: d**(-5487\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 7:22 AM?\nAnswer: 11:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 6) to base 9\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 932448 to the power of 1\/3, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -170a5 + -17?\nAnswer: -17100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6 - (-63)\/1*29\/29. Calculate the highest common divisor of i and 437.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -0.4 (c) -1\/3 (d) 1.1 (e) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 32454397 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 396081*d*p - d + 5090923*p with respect to d.\nAnswer: 396081*p - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5029140911 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -4, 56410, 2\/7, 2\/15, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*x - 5. Let v be (-1)\/((-2)\/6*x). Let q = v + 5. Solve 0 = h - 2*f - q + 1, 0 = h + 4*f + 3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13165 + 39494 - 13163 + 19*y**2 - 24*y**2 - 13166 + 20*y**2.\nAnswer: 15*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 p, and 1 x when three letters picked without replacement from {t: 2, j: 1, a: 3, x: 4, p: 2, y: 3}.\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1))**(-21\/5)\/(n**(1\/5)*n*n*n**(-2\/7)\/n) assuming n is positive.\nAnswer: n**(23\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -147, -679, -1503, -2571, -3835, -5247, -6759?\n\"Answer: 8*o**3 - 194*o**2 - 6*o + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1033\/2, 4, 1\/5, 2\/217.\nAnswer: 2\/217, 1\/5, 4, 1033\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1852 - -1851. Let v be (x - (-14)\/9)*322\/805. Factor 2\/9*u**2 + v - 4\/9*u.\nAnswer: 2*(u - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 782\/85*258\/2967\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 28, 63, 112, 175, 252, 343?\nAnswer: 448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 134 * 16.\nAnswer: 2144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -1450*b**3 - 4*b**2 + 12*b - 2. What are the prime factors of m(-3)?\nAnswer: 2, 9769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -203 - -80a97?\nAnswer: 80894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 + t - 1. Let f(h) = 4*h**2 - 5*h + 4. Suppose -26 = -1806*c + 1807*c. What is c*x(r) - 6*f(r)?\nAnswer: 2*r**2 + 4*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = -73*o + 79*o - 7, -5*o = -10 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*b**2 - 96 - 6*b**2 - 177 + 5*b**2.\nAnswer: 5*b**2 - 273","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -320734224 divided by -16.\nAnswer: 20045889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 201158 and 92.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k + 1. Let i be q(-1). Suppose -i*x + 2*r + 10 = -0*x, -5*x + 4*r + 21 = 0. Let s(j) = 25*j + 1. What is the tens digit of s(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-8))**(5\/7)\/((v\/(v\/(v\/v**8)))\/(v*v*v\/(v**(-8)*v)*v)) assuming v is positive.\nAnswer: v**(86\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 148519586 to the power of 1\/2, to the nearest integer?\nAnswer: 12187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 21542483 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 455*k - 919*k + 7 + 469*k. Give s(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 9:51 PM?\nAnswer: 2:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1435 and 45.\nAnswer: 12915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3138729 to the nearest integer?\nAnswer: 1772","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27 - (53 + -27 + 20).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - -12) + 17420\/(-1235).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f + 229 + 145 = 0. Which is smaller: f or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/30 and -13\/20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20458618 divided by -5.\nAnswer: -20458618\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does -1223986 = -1223974?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2397 = -128*l + 292*l - 305*l for l.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mxttxwvwwwtl. What is prob of picking 1 l and 1 m?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -2*n - 12*z + 9*z, 2*z = -2*n + 30. What is the remainder when 50 is divided by n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 4*j - 12104 = 0, -2*q = -0*q - 3*j + 6048. Let o be 1\/(-9) + q\/(-54). Calculate the greatest common divisor of o and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + x - 4 = 0. Suppose x*i + 0*i = 3580. Suppose -5*q + 15*q = i. List the prime factors of q.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3+-811.84862\nAnswer: -814.84862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 124023 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -105*a**2*w**3 - a**2*w + 1470041*i**3*w**3 + i**3*w**2 - 925155*w**2 wrt w.\nAnswer: -630*a**2 + 8820246*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 43, -2\/17, -1240477 in increasing order.\nAnswer: -1240477, -2\/17, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of -a**5\/50 - a**4\/10 + 28*a**3\/15 + 65*a. Factor k(n).\nAnswer: -2*n*(n - 4)*(n + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-5 - -3) - 7\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*t - 2*f - 11 + 37, 0 = 3*t + f + 22. Let z = -5 - t. Suppose z*y = 3*s - 7*s + 90, -3*s = 4*y - 155. List the prime factors of y.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000013622 rounded to 7 decimal places?\nAnswer: 0.0000136","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 449223530 to the power of 1\/2, to the nearest integer?\nAnswer: 21195","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.902 * -0.2\nAnswer: 0.1804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.549 + -273.451. Let f = -278 - q. Which is the second biggest value? (a) 1\/5 (b) f (c) 30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 0*k = 3*k. Suppose k*p + 12 = 6*p. Suppose -261 = -3*s + p*r, -4 = -r - 1. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**2 + 4*g - 4*g + 2)*(-5*g + 4*g + 2*g).\nAnswer: 2*g**3 + 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15685358.\nAnswer: 2, 13, 603283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 6*d - d + 440, 5*d - 307 = 4*y. Let c = 147 + y. Suppose -2*s = 6*s - c. Calculate the least common multiple of 10 and s.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 3*b + 153 = 0, -13 = -o - b + 44. Let p = 68 - o. Let d be (-4)\/14 + 5*26\/p. Solve d = -3*i - 6 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.01 (b) -3 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i + 9 = 23 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 - -2) + 2729\/1. Suppose -82*j = -78*j - 32688. Let z = x + j. Round z to the nearest 1000.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2222, 2220, 2218, 2216, 2214, 2212?\n\"Answer: -2*a + 2224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22 + 2. Suppose 3102 + 4374 = -42*l. Let m be l\/(-68) - 60\/k. Which is the third smallest value? (a) 5 (b) m (c) 0 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5.3 - -5. Let u be (-7)\/(5\/2 + -2). Let t be (-2 - -4)\/(2 - u). Put t, -1\/3, g in increasing order.\nAnswer: -1\/3, g, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111669 not equal to 111669?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.173? (a) 0.2 (b) 10 (c) 3\/7 (d) -0.418 (e) 1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 1:54 PM?\nAnswer: 2:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of 2*y**2 + 0*y + 0*y**3 - 10 - 1\/4*y**4. Find the second derivative of b(x) wrt x.\nAnswer: -6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -t - i + 8, -4*i - 8 = 2*t. Let y be 0\/(-2 - t)*-1 + -35. Let u be (-9)\/(-12) - y\/28. Solve -u*a = 3*c - 7*c + 12, c = 2*a for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 12, u: 3}. Give prob of sequence bb.\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**0)**(-1\/22)*(z**1)**(-1\/61))**(2\/21) assuming z is positive.\nAnswer: z**(-2\/1281)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.017089899 rounded to 5 decimal places?\nAnswer: 0.01709","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -284*o - 197*o + 187*o - 225*o to w*o + k and give w.\nAnswer: -519","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 362*j - 174*j - 186*j - 74.\nAnswer: 2*j - 74","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -63, -62, -61, -60, -59?\n\"Answer: j - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*x**2 + 7*x**2 - 2*x**2 - 7*x**2 + 158*x - 2 + 1 as v*x + h*x**2 + p and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 6*c + 3. Let r(m) = -m**2 + 18*m + 9. Let d(l) = 8*j(l) - 3*r(l). Let z be d(3). Solve 0*w = 3*w + z for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -179.\nAnswer: 1\/179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18042, 17594, 17132, 16650, 16142, 15602, 15024?\nAnswer: 14402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2076974940?\nAnswer: 2, 3, 5, 197, 199, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -253, -506, -759, -1012, -1265, -1518?\nAnswer: -1771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add 88673168309.6 and 2.\nAnswer: 88673168311.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3478 - 7024 + 17*m + 3515)*(-13 + 13 + 5*m).\nAnswer: 85*m**2 - 155*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 9:09 PM?\nAnswer: 7:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r - 14*r + 58 = 9*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 66 (b) -0.5 (c) -45 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 - 2*n**2 - 2*n. Let c(b) be the second derivative of b**5\/20 - b**4\/12 - b**3\/6 + 14*b. What is 2*c(p) - k(p)?\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the first derivative of 5*v**4\/2 - 16*v**3\/3 - 10*v + 37. Let m(n) = -2*n**3 + 3*n**2 + 2. Calculate -3*a(d) - 16*m(d).\nAnswer: 2*d**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 611.\nAnswer: 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 20*t. Let d(p) = -306355*p - 14. Calculate u(d(l)).\nAnswer: -6127100*l - 280","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*t - t - t**2 + 81 - 85.\nAnswer: -t**2 + 16*t - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -128670 or 40\/37?\nAnswer: 40\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 3) + (-1 + 3 - 2) - (4769 - 4841)\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aaj when three letters picked without replacement from {o: 1, p: 1, j: 1, a: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three fifths of a meter?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 18 = -3*o. Let v be 204\/(-3) + o\/3. List the prime factors of 6\/4*v\/(-9).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ekkcv. Give prob of sequence ke.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1685 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 7\/10*(-23400)\/(-8190)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 166758978?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21757 + -21751. Solve -37*j = -x*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 5*u - 12. Let a(y) = -5*y + 10. Let w(z) = 6*a(z) + 5*l(z). Suppose -15 = -5*x + 15. Let i(j) = -j + 5*j - x*j. What is w(i(m))?\nAnswer: 10*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34022?\nAnswer: 2, 17011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 AM and 2:34 PM?\nAnswer: 587","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of i**5\/20 - i**4\/2 + i**3\/6 - 3*i**2 - 8*i. Let t be a(6). Let u be (-18)\/12*(220 - t). Round u to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -1\/7 (b) -0.6 (c) -2\/7 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2122020 (base 3) to base 7\nAnswer: -5415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17805613 to the nearest integer?\nAnswer: 4220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(-1\/3)*p)*p\/p**(3\/4)*((p*p**3)\/p*p)\/(p\/(p\/(p*((p\/(p**(-3\/7)*p)*p)\/p)\/p*p*p)*p)))**(24\/5) assuming p is positive.\nAnswer: p**(106\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 26960*z**3 - 249*z**2 + 169525413*z.\nAnswer: 161760*z - 498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4370807*t**6 + 35615869*t**2 wrt t.\nAnswer: 524496840*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (-3 + (sqrt(220)\/sqrt(5))**2 - sqrt(44)).\nAnswer: -2*sqrt(11) + 40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -5*o + 18, -4*q + 5*o - 6 - 22 = 0. Let d be (-12)\/(-15)*25\/q. What is the smallest common multiple of (d + 0)*4\/(-10) and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-2))\/(1*(-1)\/(-2))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 7:44 AM?\nAnswer: 3:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqcjtqdddc. What is prob of sequence cd?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3996170079 to the power of 1\/6, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p**3 + 46*p**2 + 148*p + 1323. Determine s(-21).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 t, and 1 v when three letters picked without replacement from {v: 1, t: 1, p: 1, r: 1, z: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g + 55 = 1023. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 + 4*n - 3. Let d be s(-7). Let y = d - 7. Solve 3*x - p = -x - 5, y = -4*x - p for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13447, -24928, -36407, -47884, -59359, -70832, -82303?\nAnswer: -93772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 0*g - 105 = 0. Let m = -8 - g. Is 5 a factor of m*(6\/(-2))\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*o**2 + 1 + 2*o**3 - o**4 - 15*o + 18*o + 3*o**2 to w*o**4 + i*o + u*o**2 + v*o**3 + a and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -180*g - 169*g - 184*g - 144*g + 562*g.\nAnswer: -115*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*v - 10*v - v - 13*v)*(-45 - 40 + 87).\nAnswer: -62*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6604 - 6596 = -n for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 518 = -2*c + 484, 0 = 4*c + 3*s - 2024. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 341 and 44.\nAnswer: 1364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/66*104\/(-494)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-4\/13)\/a)\/a*a**12)\/(a*a**(2\/29)*a*a**(-21\/4)) assuming a is positive.\nAnswer: a**(19413\/1508)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 798689740.\nAnswer: 2, 5, 43, 487, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*w + 8*w = -2*a, -5*w - 24 = 3*a for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -199.06 + 204. Let m = h + 0.06. Which is the nearest to 0? (a) -3\/5 (b) m (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*y = -16*y - 10 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -536*x**3 + 6*x**2 - 12. Let o(t) = 169375*t**3 - 1897*t**2 + 3794. Determine -1897*m(j) - 6*o(j).\nAnswer: 542*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3152, 2740, 2062, 1124, -68, -1508, -3190, -5108?\n\"Answer: r**3 - 139*r**2 - 2*r + 3292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -4*w + 1. Let t be r(-1). Let v = -35\/1973 + -299069\/157840. Let y = v + 21\/16. What is the second biggest value in 0.4, t, y?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -126, -1 in ascending order.\nAnswer: -126, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*g + 20*g = 20, -54 = 4*v + 5*g - 16. Factor 4\/3 + 2\/3*d**2 - 8\/3*d**v - 1\/3*d**5 - 2*d**4 + 3*d.\nAnswer: -(d - 1)*(d + 1)**3*(d + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2484*b**2*v**3*w + 2*b**2*v**3 - 5*b*v**2 - 3*b*w + 97*v**3 wrt b?\nAnswer: -4968*v**3*w + 4*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 245698.29 nanoseconds to hours.\nAnswer: 0.000000068249525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 2 - (-2 - -3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 8) to base 15\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-3)*-10*(-37)\/(-740)*27?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1942332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of -11*u**3\/3 + 43*u**2 + 16*u - 1037. Let f(w) = 0. What is w?\nAnswer: -2\/11, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the second derivative of -7*n**3\/2 + 22*n. Let b(m) = 4*m**2. Give b(v(h)).\nAnswer: 1764*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -35bc (base 14) in base 4?\nAnswer: -2102202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of -73*q**4\/12 - 49*q**3\/6 + 3*q**2 + 5. What is the derivative of j(a) wrt a?\nAnswer: -146","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3136 is divided by 203?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*h**2 + 32*h**2 - 20*h**2.\nAnswer: -18*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24609149?\nAnswer: 17, 23, 62939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*t - 49*t = -36 for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 267302000 rounded to the nearest one million?\nAnswer: 267000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -84 - -503\/6. Let r = -6.19 - -1.11. Let n = r - -0.08. Sort -0.4, j, n.\nAnswer: n, -0.4, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(5\/6))\/c)**(-18)\/(c\/(c\/(c\/(c*c\/(c*c\/c**(-14\/3)))))*c\/(c**(1\/3)*c)) assuming c is positive.\nAnswer: c**(-61\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12221, 24441, 36661, 48881, 61101, 73321?\nAnswer: 85541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 6.12457 weeks?\nAnswer: 61735.6656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + -4405025?\nAnswer: -4405030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 less than -22473?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 - 4*r**2 + 3. Let j be m(-4). Solve -5*k + 2 = 3*t + 16, j*t = 2*k - 7 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -545, -1091, -1637, -2183, -2729?\nAnswer: -3275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 3*d**4\/5 + 55551*d**3\/5 + 222171*d**2\/5 + 277701*d\/5 + 111078\/5 = 0.\nAnswer: -18513, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-504)\/27*3\/(-2). Suppose 3*o = -3*o + 42. Let h(f) = -o + 0*f + 7 - a*f. Let l(k) = -k. Give l(h(t)).\nAnswer: 28*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2857*h**3 + 8*h**3 - 5117*h**3.\nAnswer: -7966*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7737\/4 - -1949. Calculate the common denominator of g and -79\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19977459?\nAnswer: 3, 59, 1913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - y + 96 = 0. Let o = 0 - y. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 95761?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**(-7)\/n*n**(2\/3)\/n*(n*n*n**1\/n)**(-20) assuming n is positive.\nAnswer: n**(-142\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 34 - 31. Let n(a) = a**3 - a**2 + 8. Let p be n(0). Let x be (-3)\/(((-18)\/p)\/3). Is b not equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -25.9, -1.2, -23 in ascending order.\nAnswer: -25.9, -23, -1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjj when three letters picked without replacement from jjjjjjjjj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vbvvxovpbvxxxtx. Give prob of picking 1 t and 1 p.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + p - 8 = 0, -5*o + 3*p = -o + 4. Let h(t) = -2*t + o + 4 - 5. Let b(w) = -w. Determine b(v) - h(v).\nAnswer: v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 2*b, 573*s - 3*b - 1144 = 572*s. Calculate the remainder when s is divided by 167.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 + l - 6. Let m be a(2). Suppose 45*c - 189 - 621 = m. Sort c, 4, 2.\nAnswer: 2, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 508*b - 5074. Give i(10).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y. Let l be s(-4). Suppose 5*q + 0*o + 3*o - 41 = 0, -q + 9 = o. Let c = q + l. Does 3 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -332\/1211 + -2\/173. Which is smaller: 0 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 4*l = -5*l + 16, 0 = 3*l + 12. What is the least common multiple of x and 11?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 461, 3, 4, 1 in increasing order.\nAnswer: 1, 3, 4, 461","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -2*f + 4, 6 = 2*f + f - 4*q. Suppose 356 = 6*x - f*x. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6a0 + 0?\nAnswer: -6a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + -0.5. Let a = -221.9 + 222. What is the closest to a in 2\/7, h, 2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1005 is divided by 53?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*c**3 - 347*c**2 - 1192 wrt c?\nAnswer: -6*c**2 - 694*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n + 3*n - 32. Suppose n = 3*z - z. Let r(a) = -4*a**3 + 260*a**2 + 2*a - 75. What is the remainder when r(65) is divided by z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7260 divided by -4.\nAnswer: -1815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14207055, -28414227, -42621399, -56828571, -71035743, -85242915?\nAnswer: -99450087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*v - 66*v + 3292 = 3*y, v - 2197 = -2*y. What is the tens digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**11\/k**(-5))\/(k*k*k\/k**(-3)*k)**(18\/13) assuming k is positive.\nAnswer: k**(82\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -1 + 3*d + 400*d**3 - 3*d + 378*d**3 - 758*d**3. Let z(x) = 21*x**3 - 1. What is 7*v(w) - 6*z(w)?\nAnswer: 14*w**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 44 + -42. Suppose g*f - 2*f = 2*f. Factor d**2 - d + 3*d**3 + f*d**3 - 2*d - 4*d**2 + 3*d**4.\nAnswer: 3*d*(d - 1)*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 58705?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-1\/11))\/k*k\/((k**12\/k)\/k)*(k\/(k*k\/(((k\/((k*(k*k**(-3\/5))\/k*k)\/k))\/k)\/k*k*k))*k)\/(k*k\/(k\/(k*k*k\/k**(2\/61)))) assuming k is positive.\nAnswer: k**(-41797\/3355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*y - 60 = -0*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(160\/24))\/((-3)\/12)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 430 is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -497243 - -0.12.\nAnswer: -497242.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 211681?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30\/80 - 3610\/(-16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.94199753 and -212538.\nAnswer: -212538.94199753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 8*v + 13 - 7*v + 4*v - v**2 + 6*v. Let z be m(12). What is the units digit of (z - -158)*3\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/25 of a litre?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -13.489974 and 6?\nAnswer: -80.939844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4.3 (b) 5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 49\/4 of a microgram?\nAnswer: 12250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 652212 and 582428?\nAnswer: 2684","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 152376?\nAnswer: 2, 3, 7, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -28168 - -5?\nAnswer: -28163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*p + 42*p + 21*p.\nAnswer: -11*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 73*n + 273*n**4 - 135*n**4 - 132*n**4 + (4*n - 4*n + 2*n**2)*(-2*n**2 + n**2 + 3*n**2).\nAnswer: 10*n**4 + 73*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8300242599 to the power of 1\/7, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -43 (base 6) to base 10\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 136 and 187102.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3\/9 - 118*x**2\/3 - 2561*x - 46644.\nAnswer: -(x + 39)**2*(x + 276)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 534 and 109?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -153 - -155. Solve -y = j - 5*q - 5, 9 = 3*j - 4*q for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 230*j**2*y - j**2 + j*y**2 + 8*j + 3*y**2 - 968*y - 2 wrt j?\nAnswer: 460*j*y - 2*j + y**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.9 - -4. Let k = -18.1 + z. Let h = k - -15.999983. What is h rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 28? (a) -2 (b) 2\/11 (c) 0.28\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/y**(1\/15))\/y*y*(y*y**(-12))\/y assuming y is positive.\nAnswer: y**(-151\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1013 (base 10) to base 12\nAnswer: 705","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5049, 10077, 15105, 20133, 25161, 30189?\nAnswer: 35217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 156 and 1699672.\nAnswer: 5099016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0047993 rounded to 3 decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 378875 and 4161563?\nAnswer: 3031","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, 0.05, -2\/15, -2\/7, 18?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 2*h = -3*h - 3537, -j + 697 = 5*h. Let o = 1193 - j. Suppose -3*d = 3*v - 474, v + o = d + 2*d. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 514321 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -70? (a) -8 (b) 4 (c) 59 (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zrvh when four letters picked without replacement from {z: 1, r: 1, h: 1, v: 1, q: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 + j. Let k(o) = o**3 + 3*o**2 + 12*o + 5. Let x(h) = -h**2 - 6*h - 3. Let d(m) = 3*k(m) + 5*x(m). Let w(n) = 5*d(n) - 10*v(n). Factor w(i).\nAnswer: 5*i*(i + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6510, 288, 1\/4, -1\/7?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (5*2*sqrt(72) + -3)**2)*-5.\nAnswer: -36060 + 1800*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/6 (b) -2\/3 (c) 7.84\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -739 or -1052293?\nAnswer: -1052293","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2.1 times 6464\nAnswer: 13574.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 51 + 3?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (0 + -2 - 2) + -3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 12 = 0, -3*o = -0*o + 3*z + 15. Let a(b) = -3*b - 5. Let j(u) = 1. Let k(f) = o*a(f) - 6*j(f). Differentiate k(t) wrt t.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 3 + -226 + 229.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 - 22. Which is greater: -8 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 - -16. Suppose s + 15 = 3*t - c, -4*t + s + 30 = 0. Let y be (-1 + t)*(-4)\/18. Which is greater: y or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(-10) + -35*(-18)\/60?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 26 and 0.3.\nAnswer: 7.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 4 (b) -4 (c) 1 (d) 1487\/6 (e) 1\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * 0.01604261.\nAnswer: 0.008021305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50345722, -50345721, -50345720?\nAnswer: -50345719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8710394 divided by -1244342.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -5*l - 30. What is the remainder when 27 is divided by k(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6 and 5195742?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5 - (162\/108 + 158\/(-100)) - 5. What is the closest to w in 0.3, -3, 0.1, -1\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.19 - -1.19. What is the closest to 2 in 4, 0.4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*p - 3*q = 37*p + 2*q + 55, -12*p + 12*q + 164 = -8*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (920\/(-322))\/((-2)\/(-7)). Let m(z) = -14*z - 135. Determine m(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*r - 502 + 473 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2160820?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 665069 is divided by 9237.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a centimeter in micrometers?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 - 37*v - 100. Give t(-6).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, 2341 in decreasing order.\nAnswer: 2341, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -2, q - 394 = 5*p - 3*q. Let v be (8\/p)\/(-4 - 56\/(-12)). Which is the biggest value? (a) -2\/3 (b) 8 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -4, 1948, 12, -3 in increasing order.\nAnswer: -4, -3, 5, 12, 1948","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -33018 (base 13) to base 6\nAnswer: -1551143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 336\/80*15\/9. What is m in 24*m**4 + 10*m**3 + 18*m**2 - 3*m**5 - 19*m**3 - y*m**3 - 23*m**3 = 0?\nAnswer: 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 8 - 3*l + l + (-5 + 2 + 2)*(-5*l + 3*l + 4*l) + 5*l + l - 5*l + 9*l - 8*l + 10*l)*(-l - l + 4*l).\nAnswer: 16*l**2 - 22*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-6*5\/(-30))\/(2\/1842)?\nAnswer: 3, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2457 + 3592. Suppose 5*u - 50 = -0*u. Suppose -u*m - q = -15*m. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -87585, -87589, -87593?\n\"Answer: -4*h - 87581","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -43*0.4\nAnswer: -17.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -47680000 to the nearest 1000000.\nAnswer: -48000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of -o**3\/6 + o**2 + o. Suppose 2*w = t - 60, 6*t = 2*t - 2*w + 270. Suppose -43*y = -63 - t. Calculate b(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28 and 42?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -13 - -17. Factor p - 4*q**2 - q - 3 + q**3 + 4*q**2 - q**2.\nAnswer: (q - 1)**2*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.3411 - -2.6589. Let d = 0.1 + 0. Which is the closest to d? (a) f (b) -4 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 9, -0.6, 3143, -2, 0.3, 3, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 268500392 to the nearest integer?\nAnswer: 645","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/18648 and -73\/1444.\nAnswer: 6731928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*r**6 - 30*r**4 + 32*r**3 + r**2 - 2*r + 1422 wrt r?\nAnswer: 240*r**3 - 720*r + 192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 127*w - 11633. Suppose 0 = t - 4*a - 3 - 11, 5*a = 25. What is the remainder when p(94) is divided by t?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4678 and 9.\nAnswer: 42102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + 8 - 3. Let v = 2 - f. What is the lowest common multiple of 10 and v?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 2*y + 6. What are the prime factors of q(6)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38.8262 minus 132531319?\nAnswer: -132531280.1738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -37? (a) 0.1 (b) 4\/3 (c) -620 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 AM and 1:18 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 84050446?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(275) + (sqrt(99)\/(sqrt(225) + sqrt(9)))**2.\nAnswer: 83\/36 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2783?\nAnswer: 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 - 8*o**2 + 5*o - 11. List the prime factors of m(8).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*4 - 1\/(5\/10). Suppose -i = -44*f + 43*f. Solve 3*u = -4 - f for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -58, -114, -168, -220?\n\"Answer: s**2 - 59*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 11:54 AM?\nAnswer: 5:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of y**5\/20 - y**4\/16 - y**3\/12 + y**2\/8 - 8. Factor c(q).\nAnswer: q*(q - 1)**2*(q + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 - 5*g**2 + 17)*(0 - 2 + 4) + 4*g**2 - g**2 + 2*g**2.\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/(4\/(-2)))\/((-30)\/(-6))*455000\/13000.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 31 and 2032127.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.48, 0.2, -0.018?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12, 47, 108, 195, 308, 447, 612?\nAnswer: 803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a micrometer in nanometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -12*n. Let z(p) = p**2 + 141*p - 179. Give z(u(m)).\nAnswer: 144*m**2 - 1692*m - 179","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*o**2 - o**2 - 96*o**2 + 126*o**2.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttotttttttttottttttt. What is prob of picking 2 o and 1 t?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -72\/3553 greater than -0.176?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.016, 0.09, -2\/5.\nAnswer: -2\/5, 0.016, 0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a millennium in years?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -5*l**2 + 91940*l - 3578055 = 0.\nAnswer: 39, 18349","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -54205435 (base 6) to base 3.\nAnswer: -10000110001012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - -1110?\nAnswer: 1103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 872 divide 785168580?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1846225 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 3, -2\/7, 267, -71?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*b - 0, 5*m + 2*b = -17. Let x(s) = 7*s + 5. Let r(y) = 26*y - 10. Let v(u) = -77*u + 26. Let q(k) = -17*r(k) - 6*v(k). What is m*q(l) + 8*x(l)?\nAnswer: -4*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -294 - 55. Let i = c + 379. Let w be (-3)\/(-6)*2 + 4. Solve 0 = -2*v + w*d - i, 12 = -5*v + 4*d - 29 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 51 - 51.08. Let a = 0.13 + x. Which is smaller: 3 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11101011 (base 2) to base 5\nAnswer: -1420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-309)\/2472 + 1\/2?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 33, 243, 801, 1881, 3657, 6303, 9993, 14901?\nAnswer: 21201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -0.142, -26, -2\/5, -0.05, -1, -25?\nAnswer: -0.142","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 3, 55, -4, 4 in decreasing order.\nAnswer: 55, 4, 3, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1076*d*y**2 + 49504*d - 24*y**3 with respect to y.\nAnswer: -2152*d*y - 72*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-144)\/252*(-14)\/4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -608 divided by -4\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 925152 divided by -925152.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 2, -5*d = -3*d + 4*s - 12. Let q(x) be the second derivative of -1\/5*x**2 + 0 + 1\/10*x**3 - 1\/60*x**d - 4*x. Find b such that q(b) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 76042123 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -7*f - 63. Let l(j) be the second derivative of j**4\/12 + 4*j**3\/3 + 9*j**2\/2 + j. What is l(f)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of 7*j**3\/6 + 396*j + 14. Let r(o) = 41*o + 4*o + 110*o. Calculate -2*r(t) + 45*x(t).\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(2\/23)\/x*x**(-14\/9) assuming x is positive.\nAnswer: x**(-511\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 36*j + 4. What is a(-7)?\nAnswer: -248","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 3*a = 254, 13*a - 2 = 12*a. Let k = o - -310. What is the remainder when k is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 691349053 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -5*q**3 + 38*q**2 - 17154*q + 137327. Determine s(8).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 8\/(-28) - 16\/(-7). Let j(s) be the first derivative of 8*s - 1\/2*s**g + 2. Determine j(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kccko. What is prob of sequence ok?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 39384?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 7, c: 2}. What is prob of sequence cc?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1332603511 to the nearest integer?\nAnswer: 1100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -193\/9360 and -109\/5040.\nAnswer: 65520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -34*m**2 + 28*m - 17. Calculate l(2).\nAnswer: -97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 AM and 1:35 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 4*l - 284 + 1010 = 0, 0 = -2*l - 6. Is -246 at least as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/((-86)\/30 + 3). Suppose -83 = 5*j - 3*q, 3*j - 89*q + 84*q + 53 = 0. Does y = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.74 + -0.26. Let u be 3\/6*(2 - 1). What is the nearest to d in 0.1, u, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24990 divided by 34\nAnswer: -735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -62*d - 1. Let s be a(-6). Find the common denominator of -59\/22 and s\/(-140)*2\/2.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u**(-1)\/u)\/u)*u*u**1*(u\/u**(-1))**0)\/((u*u**4)\/u**3*(u\/u**0)**(-1\/13)) assuming u is positive.\nAnswer: u**(53\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 - 16*n**2 - 23*n**2 + 35*n**2 in the form c + j*n**2 + r*n and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11461879.\nAnswer: 11, 13, 80153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 4*a**2 + a - 11. What are the prime factors of o(-3)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 836 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*p = -6*b + 4*b - 34, 7*b + 5 = 5*p + 24 + 10 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2428099 is divided by 1159.\nAnswer: 1153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 126 + -85. Let z = -31 + n. Suppose -f + 5 = -2*w + z, -4*f + 5*w - 5 = 0. What are the prime factors of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -4*g + y, 2*g - g + 14 = -3*y for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -299 < -329?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100013a (base 11) to base 12.\nAnswer: 715379","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.206 in -2, 0, 14, -2\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-576)\/56)\/((-4)\/10)*-7. Let i = g + 204. Calculate the remainder when 164 is divided by i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1 - -0.2. Let u = 1.8 + 1.2. Let g(y) = y**2 + 5*y - 4. Let m be g(-5). Which is the second biggest value? (a) u (b) o (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 - 68*g**2 + 133*g - 60. What is h(66)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 503 + -211. Suppose 0 = -3*j + 9, -4*w - h = 5*j - 1119. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 158841?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 - -13. Let l be ((-3 + 3)\/2)\/m. Suppose l = 2*z + 277343 + 742657. What is z rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 598*p - 157. Is h(30) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 9:30 PM?\nAnswer: 3:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 6109, 12191, 18273, 24355?\n\"Answer: 6082*c + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67 = -18*p + 81 + 68 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 4*k + 1094 = 0, -6*k + 2747 = 5*c - 10*k. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-4)\/12)\/((-3)\/126) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -0*s - 3, 0 = -3*m + 3*s - 48. Let d = 19 + m. Suppose q + 4*o - 19 = d*o, -4*o + 12 = 0. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 586179 a multiple of 191?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (2 - -5) - (-4 - -16)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 = 20*l + 7 - 0. Which is bigger: -46\/19 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.54 and -0.173.\nAnswer: -0.09342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do 291169 and 2038179\/7 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -43.0265 + 43. What is o rounded to 3 decimal places?\nAnswer: -0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 1134 = 6288. Let c = j + -103. Suppose 2*n - 665 = c. What is n rounded to the nearest 100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (2\/(12\/(-7515)))\/((-6)\/8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 25*s - 79. Let l be a(4). Solve -3*b + 3*m - l = 0, 0*b + 2*b - 10 = -4*m for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*j*r*y**3 + 2088841*j*r*y + j*y**3 + 36434*j*y + y**2 - 10*y wrt r?\nAnswer: -2*j*y**3 + 2088841*j*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165*m = -160*m - 29835. Does 53 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/1693868 and -97\/384970.\nAnswer: 8469340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 4 = -p - 2*y, -3*y - 6 = 4*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2281412 and 928032?\nAnswer: 54753888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-15494)\/(-2013))\/(2\/3 + (-4 - -130)) and 169\/5700?\nAnswer: 62700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 - 9*r - 3. What is the least common multiple of y(10) and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -2*o + 30. Let q(g) be the third derivative of -g**2 - 1\/24*g**4 + 0 + 0*g + 1\/2*g**3. Give q(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 430020 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the second derivative of -i**5\/15 + i**2 + 2*i. Let j(z) be the first derivative of q(z). Let r(d) = -2*d - 3 + 3. What is r(j(g))?\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.04, 6, -1\/6, -4\/61, -1\/7?\nAnswer: -4\/61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 1255*x + 4. Let i be q(0). Solve 5*a = 9*a - i*w, w + 1 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l**2 + 8*l + 2. Let y be j(4). Solve 9 = u + y*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3\/8 - -1\/2. Let d = 1.992 - 1.592. Let z = 6.7 - 7. What is the third biggest value in q, 2\/17, d, z?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -23 - -21. What are the prime factors of (-2332)\/(-77) - b\/(-7)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14315 and 53579.\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -74\/5 less than 2\/105?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -320215 + 6?\nAnswer: -320207","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8218910327 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 7. Suppose -3*u = 2*r + 17, 2*r - 4 = 5*u - u. Which is greater: u or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 10:40 AM?\nAnswer: 5:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*x + 9*x - 2*x + (-1 + 7 + 10)*(2*x + 0*x + 0*x) to w*x + f and give w.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 12:45 AM?\nAnswer: 1:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2165960*1.\nAnswer: -2165960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -3*l + 476, 4*l - 4*h - 353 = 263. What are the prime factors of l?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000001110110 - 100010011?\nAnswer: -1000110001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.42596253 rounded to 0 decimal places?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 232 is divided by 74.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, 9, 2, -44\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -101 - -100.9. Let g = 0.043 + -0.443. Which is the second smallest value? (a) g (b) 0.4 (c) t (d) -1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.01 - 0.49. What is the smallest value in 1, 0.1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 49*w - 98 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 75\/21 - (-60)\/140. Suppose g - 8257 = -n*u, 459 + 7808 = 4*u + 3*g. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 2*f - 3*f - 52 = 0, 0 = j + 5*f - 13. Let p be 14 + -6 + (0 - j). Let v(t) = -t**3 - 6*t**2 - 4*t + 4. Give v(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11000 + -110?\nAnswer: -11110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/1232340 and 29\/3204084.\nAnswer: 16020420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -5235, -4375, -3615, -2949, -2371, -1875, -1455?\n\"Answer: b**3 - 56*b**2 + 1021*b - 6201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 3*q + 3480, -4*q + 0*u = 5*u + 4639. Let b = q + -7844. What is b rounded to the nearest ten thousand?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 1 - (0 + (7 - 8))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 243\/5*t + 141*t**3 + 12\/5*t**5 - 1161\/5*t**2 + 0 + 201\/5*t**4 = 0. What is t?\nAnswer: -9, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 59 and 6808954.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1169 and 102628681?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -4*s + 51. What is the remainder when 30 is divided by z(10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3 + 13754*n**2 - 2109120*n + 81781128.\nAnswer: -2*(n - 6721)*(n - 78)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 22 - (-3 + (-1 - -2)). Suppose 0 = -4*h + 2*v + 138, 2*v - 8 = -2. Calculate the greatest common factor of h and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1374 + 4?\nAnswer: -1370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/2 + 168\/30?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (1386\/847)\/(1*3\/(-22))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -9*a - 39. Let r(n) = 9*n + 26. Let p(z) = -9*r(z) - 6*s(z). Let q(i) = i**2. What is p(q(b))?\nAnswer: -27*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 44 - 2*j**3 - 952*j**2 + 2*j - 41 - 40 + 40 to t + b*j**2 + a*j + m*j**3 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 177 - 174. Let w(l) be the third derivative of 0*l**4 + 0 + 0*l + 1\/12*l**5 + 4*l**2 + 0*l**g. Let p(n) = 2*n. Calculate p(w(k)).\nAnswer: 10*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 4*r + 1, 0 = 3*w + 5*r - 16. Let m be 39\/(-9) + (-6 - -3)\/(-9). Sort 5, w, m in decreasing order.\nAnswer: 5, w, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 574145 * -0.5.\nAnswer: -287072.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6 - 3)*(1 - 0). Let u(y) = y + 15. What is the remainder when 34 is divided by u(t)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gggzjzy. What is prob of sequence jzgy?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 192672 divided by -48168?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2 - 451111*v - 12630324.\nAnswer: -(v + 28)*(v + 451083)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or -0.33233?\nAnswer: -0.33233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.004248515709 to 3 dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 44319.\nAnswer: 2\/44319","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*b + 4*b + 0*b + 1 + b - 1 + (4 + 9 - 1)*(88 - 88 - 15*b) as v + z*b and give z.\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 846556, 846553, 846550, 846547?\nAnswer: 846544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 31 = b + 4*b, 3*y + 1 = 2*b for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 11, -8\/5, -4.7, 1, -3, -6?\nAnswer: -4.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4946341 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 8 - 50. Calculate the greatest common factor of b and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -4*x + 12, -11*x = -16*x + 3*v + 4. Put 8, x, 3, 1, -2 in descending order.\nAnswer: 8, 3, x, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*42.126\nAnswer: -42.126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -35*h - 2. Let q = 13452 - 13453. Calculate a(q).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-5*-2*sqrt(136))\/(sqrt(40)\/sqrt(5)*-2).\nAnswer: 30*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 16) in base 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 866 is divided by 232.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + 11101101100001101?\nAnswer: 11101101100001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -10\/216683 and -5\/483?\nAnswer: 4550343","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8572 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: Suppose 224 = 3*o + v, 0 = -o + 4*v + 27 + 52. What is the highest common divisor of 250 and o?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -83324234 take away -11.55?\nAnswer: -83324222.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 22195659*i**2 + 107*i + 55104 wrt i?\nAnswer: 44391318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2197.00684 + -0.00684. Let x = u - 2380.8. What is x rounded to the nearest 10?\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the second derivative of -11*w**7\/42 - 2*w**3\/3 - 9*w. Find the second derivative of a(k) wrt k.\nAnswer: -220*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39523 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 572 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*f + 88 - 326 = -12*f for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -588\/145 - -599\/870. Let p = -147\/23 - -829\/414. Find the common denominator of p and r.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 - 7*c**2 + c + 4. Let h be g(-7). Is -5*(h + 36\/15) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 351421 and 324703.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (12\/10)\/((-2)\/(-15)). Suppose 2*g - s = 1. Put g, 1, -3 in descending order.\nAnswer: g, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8 or 4?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/21 - (-717)\/331254?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 7*h**2. Let u(k) = 49286701*k. Give r(u(a)).\nAnswer: 17004252268243807*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(468) + -2 + sqrt(468).\nAnswer: 2 + 12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 52 + 17 = 4*f, -5*f + a - 55 = 0 for f.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-732)\/(-9) + (-1)\/3. Suppose m = -3*b - 0*b. Let d = 0 - b. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 131040 and 3451560?\nAnswer: 538443360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1763 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by -1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -5*c**5 - 50*c**4 - 135*c**3 + 50*c**2 + 620*c + 600 = 0.\nAnswer: -5, -3, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 42 divide 540918?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 142378 divided by 5.\nAnswer: 142378\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5965 - 715. List the prime factors of m.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -134*n**3 + 134*n**3 - 29*n**4 + (-2*n - n + 10*n)*(-2*n**3 + 2*n**3 - n**3).\nAnswer: -36*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3, -167, -331?\nAnswer: -495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2))**(-14) assuming t is positive.\nAnswer: t**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36.3 + -35.12. Put v, 3, -2\/11 in descending order.\nAnswer: 3, v, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 4 = -2*z. Suppose -3*g + 5*g = -l + 296, 4*l - 449 = -z*g. Is 31 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -113 + 32. Suppose 2*s + 165 = 3*a, -5*s - 355 = -0*a + 4*a. Let t = s - v. What is the lowest common multiple of 28 and t?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -203 - -207. Let u = -1 + 16. Suppose -u = 3*k - 48. Calculate the remainder when k is divided by q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44\/77 - 468\/(-14) is divided by 97 + -87 + 1*(1 + -2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x + 3. Let h(t) = t + 1. Let l(q) = -3*h(q) + w(q). Let k(f) = 7*f**2. Determine k(l(p)).\nAnswer: 7*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1*(-28)\/8*-4. Let c = 77 + -7. Calculate the greatest common factor of l and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dds when three letters picked without replacement from sbdsossd.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -r**3 - 33*r**2 - 2*r + 70. What is k(-33)?\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 521?\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20115?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-33) - (-18)\/(-22). Let w be 131 + (3 + v - -1). Suppose 0 = 4*q + d - w, -6 = d - 4*d. Calculate the greatest common divisor of q and 363.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 (base 5) in base 15?\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 4367 = 4359. What is the second biggest value in 3, c, 10?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + 100010101?\nAnswer: 100010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1230 - 13?\nAnswer: 1211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/280 and 13\/5.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17611 - -193543\/11. Let f = z - -16. Let x(s) = s - 3. Let y be x(4). Are y and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that 5*d**5 - 30*d**3 + 40*d**2 - 15*d = 0.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 404560 (base 8) to base 10\nAnswer: 133488","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -158, -318, -478?\nAnswer: -638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -89 + 98. Let z(n) = 15*n - 120. Let i be z(u). Suppose 0*s = -5*s + 10. Solve -i = -s*m - m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 115 + -114. Which is smaller: 3.6 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9584114 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that c**4 - 13175112*c**3 - 52700460*c**2 - 52700464*c = 0.\nAnswer: -2, 0, 13175116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164759 is divided by 164675?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4022244 (base 5) to base 15.\nAnswer: 13eb9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (117\/(-27))\/(4\/(-6)). Put -3\/7, o, -1, 5\/6 in decreasing order.\nAnswer: o, 5\/6, -3\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57 = -5*g - 4*k - 3 + 105, -2*g - 33*k + 95 = 0 for g.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 AM and 9:34 PM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-60))\/((10 - 24) + 11)?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 33203323 - -3?\nAnswer: 33203331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bxbbbzx. Give prob of picking 1 x and 1 b.\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 - w + 26. Let o be h(0). Suppose -u = 4*d - 90, 59 = u + 5*d - o. What are the prime factors of u?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j. Let w(y) be the first derivative of 5*y**2\/2 + 121. Calculate w(u(n)).\nAnswer: 10*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {u: 1, w: 18}?\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 6*g**2 - 3*g - 2. Let s be x(-1). Factor s*w**3 + w - 5*w**3 - 3*w.\nAnswer: 2*w*(w - 1)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 take away -231849?\nAnswer: 231842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1254 + -1254.0507. What is b rounded to 2 decimal places?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4574 + -4568. Solve 0 = 32*k - 27*k + 3*p + 2, -m = k - 5*p for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -137*u - 2090. Give a(-13).\nAnswer: -309","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -22286 to the nearest one hundred.\nAnswer: -22300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 105 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 7:42 AM?\nAnswer: 5:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2026424 greater than 97?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2c3 - -cb?\nAnswer: -1c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 187, -2, -5, 7 in increasing order.\nAnswer: -5, -2, 7, 187","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 205, 1\/76, -1\/7, -2 in increasing order.\nAnswer: -2, -2\/5, -1\/7, 1\/76, 205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 912 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28504298 is divided by 44330.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 825309 a multiple of 443?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 7267*q**2 + 4 - 7238*q**2.\nAnswer: 29*q**2 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + 23. What is the remainder when l is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 121*c**3 + 3*c**2 - 8. Determine a(2).\nAnswer: 972","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5.31089 litres?\nAnswer: 5310.89","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 4*o = -8. Let v(z) be the first derivative of -5\/3*z**3 + 1\/4*z**4 + z**2 - 18 + 2*z. Give v(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 40 = -2*j - 37, -j + 14 = 2*r. Solve 3 = -4*z + r*g - 19, -4*g = -2*z - 14 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3 and 1612743?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (3019*c**2 - 2952*c**2 - 3*c**4 - 7*c**4 + 2*c**3)*(-5 + 0 + 3) in the form x*c**2 + i + y*c**3 + l*c + a*c**4 and give x.\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9455 is divided by 44.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11010010000010100011 + -10?\nAnswer: 11010010000010100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (12\/3 + -2)*-1. Let u be p\/(-8) + 615\/20. Let n = -2868 - -3116. What is the greatest common factor of u and n?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-45))\/(49\/63)*5866\/62850.\nAnswer: -2\/125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zcu when three letters picked without replacement from iziuzziuhcjhiiiziizz?\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the third derivative of y**5\/60 + y**4\/8 + y**3\/2 - 7*y**2. Let h be p(-3). Solve 5*i + 30 = 5*c, 8 = -i + h for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 37800 and 2450.\nAnswer: 264600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -144, -129, -94, -39, 36?\n\"Answer: 10*h**2 - 15*h - 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27 - 6. Let i = d - 19. Solve -q + u - i = -2*u, 2*q = 5*u - 2 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -182 + 254. Is v less than or equal to 72?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3542 + -456908\/129. Is 1 at most x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 1111\/2663?\nAnswer: 1111\/2663","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3143146 and 70294.\nAnswer: 22002022","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 230\/9 + -76\/3. Let o be 0\/11 + (-1)\/(-1). Which is bigger: w or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26122.\nAnswer: 2, 37, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 m when two letters picked without replacement from dym.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -64*d + 1374. Calculate l(15).\nAnswer: 414","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 18438575, 36877142, 55315711, 73754282, 92192855, 110631430, 129070007?\n\"Answer: d**2 + 18438564*d + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 2 j, and 1 w when four letters picked without replacement from {j: 2, n: 1, s: 1, w: 1, g: 2}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/2 - (-29)\/116)*(-2842)\/245.\nAnswer: 29\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*f - 3*f = 65. Let r(t) = -t**3 + t**2 + 5. Let c be r(0). Find the second derivative of 4*x**c - 9*x + x**f + 6*x - 6*x**5 wrt x.\nAnswer: -20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmfov. Give prob of sequence mmo.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the second derivative of 1\/6*t**3 + t - 1\/6*t**4 + 0*t**2 + 0. What is n(-2)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*t - 4*t + 5*t + (10*t + 13*t - 31*t)*(1 - 1 + 2) - 93*t + 47*t + 47*t.\nAnswer: -10*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -15*p**3 + 2*p**2 + 219*p.\nAnswer: -90*p + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*t + 9*t + 30. Let d(j) = -j**2 - 1. Suppose 2*n - 6 + 4 = 0. Let y(s) = -6*s**3 - 6*s**2 - 6. Give n*y(x) + t*d(x).\nAnswer: -6*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 453, 923, 1393, 1863?\nAnswer: 2333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 13 - 15*x + (4 - 4 - 3)*(2 - 2 - 2*x))*(3 - 3 + 2).\nAnswer: -18*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 150 and 54840850.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -295*i*l**3 - 5*i*l**2 + 2*i*l + 3908*l**3 wrt i.\nAnswer: -295*l**3 - 5*l**2 + 2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*u**2 - 6179 + 6179.\nAnswer: 36*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 42*j. Let y(o) = -9*o**2. What is s(y(n))?\nAnswer: -378*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -130102 (base 4) in base 16?\nAnswer: -712","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*u**2 - 9*u**2 + 3*u**3 - 674511*u - 2*u**3.\nAnswer: u**3 - 2*u**2 - 674511*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 82*a = 83*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 125*m**4 - 818*m**2 - 2074*m**2 + 457*m**4 + 873*m**4 - 627*m**2 wrt m.\nAnswer: 34920*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10142 (base 5) to base 6.\nAnswer: 3040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 21.8 + 6.2. Let c = z + -28.4. Let l = 2108\/9 - 234. What is the nearest to 1 in l, c, -10?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wlolu. Give prob of sequence ou.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 19466478997 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b - 7. Let g be q(6). Suppose g*o + 27 = 2, 5*u + 5*o = 45. Calculate the highest common divisor of u and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -74562 (base 8) in base 4?\nAnswer: -13211302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-2) - (-90)\/(-3). Let p be -3 - ((-435)\/d)\/(-5). Let j = 0.2 + 0.3. Which is the closest to 0? (a) p (b) -4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36331 is divided by 17754.\nAnswer: 823","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/7, 7, 32?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9726621*h**4 + 2*h**3 + 178180285*h.\nAnswer: -116719452*h**2 + 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(192) + -1 + sqrt(192)*-2)**2 + -2 - (0 + sqrt(27) + 1)**2*3.\nAnswer: -2*sqrt(3) + 107","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2073 to the nearest integer?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -24*a - 5 + 5 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -82 - -86. Let t(i) = 10*i - 9*i - g + i - i**3 + i**2 - 5*i**2. What is t(-4)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(1\/3)*k)**22\/((k*k*k\/(k\/k**1*k*k))\/(k**(-6)\/k)))**29)**36 assuming k is positive.\nAnswer: k**22272","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -1\/99, -0.19 in descending order.\nAnswer: -1\/99, -0.19, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 878 divide 326074398?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -13*h + 22*h - 11*h. Let k(l) = 7*l**2. Calculate k(b(c)).\nAnswer: 28*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002247980403 rounded to six dps?\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(360)*-1)\/(sqrt(900)*-2))\/(sqrt(8)*4*-5 - (sqrt(648)*-1 + sqrt(8))).\nAnswer: -sqrt(5)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 580*w = 583*w + 1, -t + 4*w = -14 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -47, -160, -357, -644, -1027, -1512, -2105?\n\"Answer: -s**3 - 36*s**2 + 2*s - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g, 1 q, and 1 m when four letters picked without replacement from hffggfmqgogohoo.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2 and 897450.\nAnswer: 897452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -146, -245, -402, -647, -1010, -1521, -2210, -3107?\nAnswer: -4242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tgw when three letters picked without replacement from bggtwtgdtb?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2, 10\/27, 1\/7, 2 in decreasing order.\nAnswer: 2, 10\/27, 1\/7, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*b + 102*b**2 + b**5 - 3*b - 33*b**4 - b + b wrt b.\nAnswer: 60*b**2 - 792*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 364369984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*s + 13. Suppose -5 = s*v + 3. Let r be (v\/3)\/(1\/(-27)). What is the highest common factor of 198 and r?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102211200 (base 3) to base 13.\nAnswer: -3c0c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of 300*v**7\/7 - 26*v**3\/3 - v**2 + 126. Find the third derivative of f(z) wrt z.\nAnswer: 36000*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 + 30 = 11*k for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 8 = -2*p, 4*p - 20 = b. Let w be 0\/(-2)*(-2)\/2. Is b less than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 24 - 14804143?\nAnswer: -14804118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.329463 to three dps.\nAnswer: -0.329","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 AM and 1:22 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (31 - 7) + -24 - (1 + 6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p - p - p + 2 + 3. Does 5 divide y(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -211*u**2 + u. Let p(q) = -q. Let d be p(-1). Let t be c(d). Round t to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 434.2 - 0\nAnswer: 434.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eennnnenen. What is prob of picking 3 e?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 45*j - 44*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 600408774?\nAnswer: 2, 3, 7, 89, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 2*k + 10, 4*p = -7*k + 4*k - 15. Suppose 6*h - 2*h + 60 = p. Let s be -1 + (-4)\/12*h. Let y(m) = -m + 9. What is y(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 39*v + 91. Let c be p(2). What is the closest to 0.4 in c, -3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 15*l - 315. Let f be z(20). Is (-116720)\/f - 2\/6 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of -y**4\/8 - 26*y**3\/3 + 16*y**2. Let k be d(-18). Which is smaller: k or 20\/13?\nAnswer: 20\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*(-5 + -78 - 0). Suppose -4*l + 3*u + 162 = -c, l + 3*u = 65. What is the smallest common multiple of l and 10?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 4.8. Let o = 1\/3 + 1\/6. Let i = -52697 + 52696. What is the nearest to o in -1\/2, w, i?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v**2 + 7*v + 9. Let y be k(4). Suppose y*p - p - 8 = 0. Suppose 0 = -j - q - 2 - 0, 0 = 4*j + q + p. Solve j*a + 4*a - 8 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l**2 - l**4 + 4464*l + 31*l**2 - l**3 - 8932*l + 4454*l as r*l**3 + b + z*l**2 + v*l**4 + a*l and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*w - 26 + 66. Solve 4*a = -w, 0 = -31*r + 28*r + 4*a + 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/(-12)*(-6)\/(-24)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13513 + 0?\nAnswer: -13513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - n = 6, -24*a + n = -25*a + 6 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -3. Let m be (d - 0)*(5 + -1). Let h be -1 + 1 - (m - -206). Round h to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8*574\/(-164)*(-23)\/14\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2199 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3211 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 487, 457, 407, 337, 247?\n\"Answer: -10*r**2 + 497","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16.77 + 0.23. Let l = s + -17. Let k = -19\/45 - -1\/45. Sort k, l, -2 in increasing order.\nAnswer: -2, k, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/(-4))\/((-553)\/(-237))\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 68 = 2*c - 2, -3*c - 48 = -3*y. Suppose -20*x + 23*x - 1581 = 0. Calculate the greatest common divisor of y and x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d + 2. Let q(j) = -j + 8. Let m be q(-6). Let n(h) = -7 - 29*h + m*h + 18*h. Determine -6*n(z) - 21*p(z).\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqrrkrv. What is prob of sequence rqqv?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by 8438.\nAnswer: -3\/4219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 + 15*p**2 + 6*p - 31. Is h(15) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1163760 and 128685?\nAnswer: 26766480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pvyptrpvvpy. What is prob of sequence ttv?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**3\/2 + 48*i**2 + 777*i\/2 + 342.\nAnswer: 3*(i + 1)*(i + 12)*(i + 19)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2050, -4109, -6168, -8227, -10286, -12345?\n\"Answer: -2059*s + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/(-10))\/(6\/(-12)*1). Which is the nearest to 1\/5? (a) -1 (b) o (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes before 5:02 PM?\nAnswer: 8:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of 9*o**2 + 0*o**4 + 0*o - 1\/30*o**5 + 0 + 0*o**3. Let d(r) = -19*r**2. Calculate d(v(g)).\nAnswer: -76*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 139235*u**2. Let l(v) = -v. Give l(c(b)).\nAnswer: -139235*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 9539 + 9754. Let z = -4433 + d. What is the tens digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9\/7642 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*q + 4*t + 62, -44*t = 4*q - 41*t + 29 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 12 + 2)*(-g + 0*g + 0*g) + 1 - 1 + 3*g in the form q + d*g and give d.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3950 or -3948?\nAnswer: -3948","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -7*n + 11. Let g(p) = -97*p + 110. Let s(o) = g(o) - 3*m(o). Determine s(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 + -5. Let p be 24*(3 + 68\/(-12)). Let g be d\/(-18) - p\/36. Solve g = -0*v - v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzxb when four letters picked without replacement from {z: 2, k: 1, r: 1, b: 2, x: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40 and 24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 60 + -40?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18282 and 7656?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 + 21*s**2 + 4*s - 31. What is o(21)?\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = -3*u, u - 4 + 0 = -3*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65097809?\nAnswer: 7, 431, 21577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 6*f**3 + 2*f - 21. Let z be b(-10). Let y = 622232\/103 + z. Let r = 689\/1545 + y. Find the common denominator of -35\/12 and r.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 - 2*h + 11. Let k(l) = 19*l + 8. Let v be k(2). Let t = v + -38. List the prime factors of j(t).\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65373?\nAnswer: 3, 7, 11, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 631875.\nAnswer: 3, 5, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25664 - -47845. What is the thousands digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4, -5, -4, -1, 4, 11?\n\"Answer: o**2 - 4*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -h**2*q + 7*h**2 + 664*h*q - 3*h - 22*q + 4470 wrt q.\nAnswer: -h**2 + 664*h - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = f - 17, 4*d + 48 = 4*f + 7*d. Solve -n = -3*v - 4, 4*v - f*v + 2*n = 5 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*h = h + 52 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaatttbaabta. Give prob of sequence ttat.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -8*q - 16*q**2 - 10 + 12*q**2 + 2*q + 2*q**3 - 2*q**2. Suppose 18 = 3*w - 0*w. What is the units digit of g(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -74\/245 or -0.1?\nAnswer: -74\/245","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h = 8*h - 84. Suppose 3*s + h - 373 = -5*r, -3*r = -3*s - 189. Let m = r + -5. Is 15 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of 2*o**3\/3 - 2. Let q(l) = 3*l**2 - 2*l**2 - 2*l**2. Determine q(z(h)).\nAnswer: -4*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - (-2 + -10 - 4) - -10?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, -49, 21, -139 in decreasing order.\nAnswer: 21, 3, -3, -49, -139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.086714271534 plus -271?\nAnswer: -270.913285728466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -7*i**2 + 2660*i - 2658. Give w(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 190 take away -417620891?\nAnswer: 417621081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, 0.2, -12.6921?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/120 and -125\/48.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00052162 to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(187) + (sqrt(187) + sqrt(187) + sqrt(187) + (sqrt(187) - (sqrt(187) - sqrt(187)*-3)))*6)\/(sqrt(22)\/sqrt(18)).\nAnswer: 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.11 in 1\/2, -2\/7, 18\/11, -4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/(-16)*(-84)\/18?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-473*r + 470*r - 9 - 3)*(2 + 2 - 3).\nAnswer: -3*r - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 3*i**3 + 8*i**2 + 4*i. Let d(g) = 120*g - g**3 + 0*g**2 - 3*g**2 + 106*g - 227*g. Give -8*d(r) - 3*u(r).\nAnswer: -r**3 - 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 8*d - 92. Give z(12).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9*4 + 0 + 2?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zehezhtmthtzzehetht. What is prob of sequence mt?\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 PM and 8:18 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 2:20 PM?\nAnswer: 12:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-7)\/n)\/(((n\/(n*n\/(n*n**5*n*n*n)))\/n*n)\/n*n)*n*n**(-2\/37)*n*n\/n**(-6) assuming n is positive.\nAnswer: n**(-261\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p = 13*p. Suppose p = 11*r - 9*r + 16. Let v = r - 7. Are -15 and v equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 116802 - 20.\nAnswer: 116782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 519941?\nAnswer: 29, 17929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00020768 rounded to five dps?\nAnswer: 0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 2, -262.\nAnswer: -262, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 + 2*j**2 + 13*j + 10. What is d(6)?\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-22)\/((-1)\/((-4)\/(-8))). Let d be (1 - -7 - o)\/(-1*1). Solve d*v + 0*f - 12 = 5*f, -4*v + 16 = -2*f for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of -n**3\/2 - 2*n**2 - n + 4. Let j(f) be the first derivative of y(f). Calculate j(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u - 7 - 7 + 28 - 12.\nAnswer: -2*u + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*y**3 - 3*y**2 + y**2 + 3 + 3*y**2 + 0 to q*y**3 + v*y**2 + u + z*y and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**6*z*z)\/(z\/(z**7*z)))**(-4\/35)\/((z**(-1))**39)**(-1\/24) assuming z is positive.\nAnswer: z**(-583\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-6)\/4)\/(-6*(-9)\/(-314172)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t**2 - 4*t**2 + 6*t**2.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 4*v - 6*v + 3, v = -m + 5. Suppose y - 9 = -2*i + 18, v*y + i = 115. What is the greatest common factor of 87 and y?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*u**5 - 1132*u**4 + 2*u**2 + 2*u - 167?\nAnswer: -240*u**2 - 27168*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -212100 - -212?\nAnswer: -211111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*d + 52*d + 35*d.\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2535306750?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4586342?\nAnswer: 2, 41, 55931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (8\/4)\/((-1)\/(-2)). Let q(j) be the third derivative of -2*j**2 + 0*j + 1\/6*j**3 + 1\/30*j**5 + 0*j**d + 0. Differentiate q(f) wrt f.\nAnswer: 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 79 - 70. Suppose d*b = 88 + 11. Let s be (-5)\/(-5) + b\/(-10). Is s at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70372 is divided by 152?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9.9 + 10. Let m = 2.2 + -2.43. Let j = 0.03 + m. Put g, j, 5 in descending order.\nAnswer: 5, g, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 - 3*b**2 + 4*b + 3. Let o = -28 + 20. Let h be 2\/9 - 48\/(-27). Let q(x) = -11*x + x**h - 13 + 7*x**2 + 5 - 3*x**3. Calculate o*a(g) - 3*q(g).\nAnswer: g**3 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the first derivative of v**2 + 1\/2*v**4 - 22 + 4\/3*v**3 + 0*v. Let u(d) = 0. What is d?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4004, 3, -2, -7 in increasing order.\nAnswer: -4004, -7, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:28 AM and 6:06 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of i**4\/6 + 86*i**3\/9 + 161*i**2 + 294*i - 22. Find j, given that a(j) = 0.\nAnswer: -21, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 4*m + 45 = 0, 0*x = -2*x - 5*m + 35. Let y(h) = x*h - h**2 + 3 - 2 - 2. What is y(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 9*c + 51. Suppose -o + 27 = -10*o. Let m be p(o). Solve 0 = 6*s - m for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.22 less than 4?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 2350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 0*r + 13. Calculate the remainder when r is divided by ((-4)\/(-6))\/((-2)\/(-21)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 - (8 + 21) - (9 + (7 - 2))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*h - 592 + 218 = -129. Put 385, h, 0 in descending order.\nAnswer: 385, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 8 = 25*w - 28*w, 2*w = -5*r + 28. Solve n = r*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2550*w - 2550*w + w**2.\nAnswer: w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zgnzzdodxzzzoz. Give prob of picking 1 d and 1 g.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*t**3 - 1041*t**2 + 13377*t wrt t?\nAnswer: 12*t - 2082","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.3 - -0.1. Let f = 9 + -5. Let o = f - 3.7. Put -1\/2, v, o in descending order.\nAnswer: o, v, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -14 + -41211301011?\nAnswer: -41211301030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence un when two letters picked without replacement from {n: 5, u: 7, w: 7}.\nAnswer: 35\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 AM and 1:25 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 15*q - 3\/4*q**4 + 3*q**2 + 15\/4*q**3 = 0 for q.\nAnswer: -2, 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187) + (sqrt(187) - sqrt(187)*2*6))\/(sqrt(11) - sqrt(176)*-1) + 2*((0 + sqrt(833) + sqrt(833))**2 + -4).\nAnswer: -2*sqrt(17) + 6656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*n**3 + 2*n**2*q + 7*n**2 + 14*n*q - 6 wrt n?\nAnswer: -36*n + 4*q + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 38049750 plus 0.2721?\nAnswer: 38049750.2721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1039283 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 2*o**2\/5 + 1086*o\/5 = 0.\nAnswer: -543, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1015719*0.283.\nAnswer: 287448.477","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -2256\/5*p + 424128\/5 + 3\/5*p**2 = 0.\nAnswer: 376","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = -12*o + 4, -4*y = 135 - 103 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6644912 to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + ((-16)\/(-4) - -2). Suppose 0 = 4*o - n, 5*z = 2*o - 4 - 8. Suppose -2*r - 5*w - 29 = -5*r, -3*w - 21 = -3*r. Sort r, z, 0 in decreasing order.\nAnswer: r, 0, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -3\/4, 12\/11 in increasing order.\nAnswer: -2, -3\/4, 12\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -10\/42351 and -43\/15603.\nAnswer: 296457","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 5*c**3 + 5*c**2 + 4*c. Let y(s) be the second derivative of 53*s - 7\/10*s**5 - 1 - 7\/6*s**4 - 11\/6*s**3 + 0*s**2. What is 11*j(m) + 4*y(m)?\nAnswer: -m**3 - m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 451 is divided by 367.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 32\/(-28) - (-4)\/28. Let x(r) = -5*r - 1. Let z be x(b). Let o(i) = -i. Let w(p) = 2*p**2 - 4*p. Give z*o(u) - w(u).\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.555301 litres to millilitres.\nAnswer: 555.301","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 3*u - 11 = 0, -6 = -j - 3*u + u. Solve 3*n + 8 = s, s + j*n = 3*s - 14 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -1 + 4. What is the third biggest value in 0, u, 2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 864 divided by -288\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 377001076 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 880284008?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 4*q + 28 = 0, -5*l + 2 = -2*q + 9. Let f = -13 + 5. Let w = 13 + f. What is the closest to 0.1 in l, w, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 315558.\nAnswer: 2, 3, 47, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12170654711 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4868*t - 8645 = -4621*t for t.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -4*s**2 + 7*s + 17. Let j(z) = -z**2 + 2*z + 4. Let c(g) = -9*j(g) + 2*v(g). Let r be c(3). Put -3, -2, r in decreasing order.\nAnswer: -2, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -77 - ((-3 - (32 + -7 + -17)) + -6)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4 from -23356.\nAnswer: -23360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -15*h + 109. Let n be r(7). Let u(j) be the third derivative of 3\/16*j**n + 3*j**2 + 0*j - 1\/2*j**3 - 1\/40*j**5 + 0. Find z such that u(z) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + (40 + 6 - (9 - -4)).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3398869, -13595475, -30589817, -54381895, -84971709, -122359259, -166544545?\n\"Answer: -3398868*b**2 - 2*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y**2 - y + 2. Let o be p(4). Let g be 1\/o*119466\/4*-7. Let a = 6975 + g. Calculate the common denominator of a and 99\/76.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -q**3 + 343 - 78*q**2 + 106*q - 346 - 105*q in the form w*q**2 + d*q + c*q**3 + i and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -b. Sort -7, b, 4 in ascending order.\nAnswer: -7, b, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*i - 4*i + 100 - 16 = 0. Let r be -2 - 3*(-2)\/3. Which is the fourth biggest value? (a) 3 (b) r (c) 2\/5 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-6)\/(-4))\/(1\/((-14)\/(-3))). Suppose t*x - 168 = -0*x. Is x even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0\/10)\/(2\/1). Suppose -2*n + 3*k = -k + 14, n - 4*k + 13 = q. Which is smaller: -3 or n?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 18 + -17. Suppose -o + 3 = b. What is the third smallest value in 3\/5, 0.5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -123 (base 15) to base 8.\nAnswer: -402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a century in years?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does -39632 = -39642?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(35) - sqrt(315)*1) + (sqrt(175)*-3 - sqrt(175))\/sqrt(5))\/(((sqrt(35)\/sqrt(5)*2 - sqrt(7)) + sqrt(42)\/(sqrt(6)*-2))*3).\nAnswer: -4*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 71, 64, 57, 50?\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 125 (b) 0.1 (c) -2\/9 (d) 1035 (e) -2 (f) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/6? (a) 11 (b) -0.4 (c) 1\/12 (d) -150\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4 (b) -0.2 (c) -1014\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1162 and -7247662010.5.\nAnswer: -7247663172.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 53722*z + 161147. Calculate k(-3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 51 = 21. Calculate the common denominator of -34\/15 and (d\/45)\/((-12)\/(-335)).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6889507 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2850 by -15.\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + 1 + (3 - 3). Suppose v = 5*h + 5. Let z be (-40)\/112*(-2)\/10*4. Which is the closest to z? (a) 0.1 (b) h (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 8, r: 2, e: 1, k: 5, b: 1}. Give prob of picking 1 n and 1 e.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 22430023?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.6 (b) 0.1 (c) -12818\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16650?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from mmmmmmmmmmmqm.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -550 take away -12632?\nAnswer: 12082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -6*d - 33. Give q(-13).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.06 (b) 6\/11 (c) -0.1 (d) 20\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-1\/19)*k*k\/(k**0\/k)*(k**(-2\/9)*k)\/k**(-5\/6) assuming k is positive.\nAnswer: k**(1559\/342)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 294, 291, 288, 285?\n\"Answer: -3*f + 297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 PM and 4:02 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 0.5, 5\/4, 36.6422?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26879*d + 26936*d - 456 = 0. Suppose -2 = j - 1, 2*j + 98 = 3*x. Let n = x - 18. Calculate the remainder when n is divided by d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-2)*3 + 2. Let t be 3*(-3)\/b + 1. Let o = -45 - -46. What is the nearest to -0.1 in o, -1\/5, t?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = 2*m + 14, -8*p + 5*m + 29 = -6*p. Let j(v) = -165*v + 86*v - 9 + 5*v**p + 96*v. Let q be j(-5). Solve -3*o + q = -4*t, -2*o = t + 3*o - 21 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*c**2*j*p**3 - 2*c**2*j*p - 3*c**2*p**2 + 3*c*j*p**2 - j*p**3 - j*p**2 wrt p.\nAnswer: -48*c**2*j - 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1662 + 103461.\nAnswer: 105123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 AM and 12:51 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 166289 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/24 and 11\/15304.\nAnswer: 45912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 67973 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*j**3 + 6*j - 10*j**3 - 6*j.\nAnswer: -2*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 17*y**2 + 5*y - 5. Let s(h) = -9*h**2 - 2*h + 2. Let c(v) = -2*l(v) - 5*s(v). Let b(g) = g**2. Determine b(c(r)).\nAnswer: 121*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*c**3*f*s**2 - 383*c**3*f + 3*c**3*s + c**2 + 17328*c*f*s**2 + 30*f*s**2 - 5*f*s - 49*f wrt s.\nAnswer: 4*c**3*f + 34656*c*f + 60*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-6*1\/4) + -2. Let u = 1 + i. Factor -1\/3*n**5 + n + 2*n**u + 0*n**4 + 8\/3*n**2 + 0.\nAnswer: -n*(n - 3)*(n + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 220771523.5 to the nearest 100000.\nAnswer: 220800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -27*m - 8*m - 9*m + 23*m. Let z(a) = 3*a**2. Give z(u(k)).\nAnswer: 1323*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -5*g + 18. Let s be j(3). Let o(y) be the first derivative of 4 + 0*y + 1\/6*y**4 + 0*y**s - 1\/3*y**2. Factor o(r).\nAnswer: 2*r*(r - 1)*(r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 7, c: 10, m: 1}. What is prob of sequence ccm?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4867 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74*(9\/6)\/3 is divided by -20*13\/((-260)\/8).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + d - 149 = 0, d = 5*c - 143 - 50. What is the greatest common factor of c and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 834059 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 5*p - 14. Let r(g) be the first derivative of g**2 - 7*g + 2. Let q(a) = 9*r(a) - 4*s(a). What is q(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 3*x - 27 + 13 - 30 in the form a*x + n and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -42224 - -13?\nAnswer: -42211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/329284 and 115\/4368?\nAnswer: 359578128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the third derivative of 5\/24*z**3 + 0*z + 1\/48*z**5 + 0 + 7*z**2 + 5\/48*z**4. What is x in a(x) = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1187*y + 22143*y - 7 + 6.\nAnswer: 20956*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15878 + -10225. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 574 is divided by 33.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.06765 + 0.0134. Let f = 0.219 - 0.175. Let y = f + n. What is y rounded to 3 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - s - 4*s + 107 = 0, 0 = -4*r - 4*s + 380. Suppose 3*h + q - r = 31, 2*h - q - 77 = 0. Let b be h\/30 - 8\/6. Is 1\/17 greater than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oww when three letters picked without replacement from {n: 2, q: 3, f: 1, w: 3, o: 3, r: 7}.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4620*n**2 + 1155*n**2 + 1153*n**2 + 1153*n**2 + 1160*n**2.\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-133)\/(-140)*(-42 - -62)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 5*h + 2*h + 21 = 0, -2*h - 14 = -2*n. Let s(f) = 3*f - 7. Let t be s(n). What is the greatest common factor of 77 and t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/15)\/(1\/10). Let k be (-182)\/(-46) + h + 0. Is k > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 632752657?\nAnswer: 24317, 26021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 25\/4 of a minute?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2484994?\nAnswer: 2, 37, 33581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-1\/3))**(-5\/9)*t**(-2\/3)\/t**(-7) assuming t is positive.\nAnswer: t**(176\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(209))\/sqrt(11))**2*1.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3698 greater than 3699?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 298779 rounded to the nearest 10000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19.6, -0.5, 1009\/6.\nAnswer: -19.6, -0.5, 1009\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the first derivative of -2*m**3\/3 - 81*m - 579. Let l(p) = 3*p. Calculate l(o(i)).\nAnswer: -6*i**2 - 243","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - -10 - (2 + 3).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 556930 and 198.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1320 - -1322. Solve -3*d = -d - 4*v - 20, -4 = u*d + 4*v for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 - g + 1. Let c be d(1). Let x(s) = 6*s**2 + 1. Determine x(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -8045 + 30431. What are the prime factors of u?\nAnswer: 3, 7, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -316 - -512. What is the least common multiple of 35 and f?\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -80 - -77. Let x be ((-198)\/4)\/((-2)\/(-4)). What is the tens digit of 2 - x - (i + 5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19987333 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/((k**2\/k)\/k))*k**(-3))\/(((k\/(k\/(k*k**(-5\/4)*k))*k)\/k)\/(k**22\/k)) assuming k is positive.\nAnswer: k**(69\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41 - 9 + 16*v**2 + 40*v**2 - 32 - 24*v**2.\nAnswer: 32*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 0 - 3 - 4 + 1 + 2 + 2 - 3 + 2 + (-1 + 2 - 3)*(-2 + 4 - 3))*(-4*r + 9*r + 9*r) in the form p*r + k and give p.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 591 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 5 = i, 0 = -5*i + 3*i + 5*q + 12. Let z be -2*2*(99\/(-4) + i). What is the highest common divisor of 19 and z?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 8*q - 5. Let m = 414 + -419. Give y(m).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.119 (b) -102 (c) -4 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -208, -420, -634, -850, -1068, -1288?\n\"Answer: -i**2 - 209*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 - o + 1. Let i(q) = 5*q**3 + 7*q**2 + 4*q - 3. Let v(c) = -i(c) + 2*y(c). What are the prime factors of v(-5)?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1949631 times -4.4?\nAnswer: 8578376.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dp when two letters picked without replacement from {d: 4, p: 9}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 65.65144t?\nAnswer: 65651440000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 989 = -4*y, -9*y + w + 245 = -8*y. What is the highest common divisor of 8 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66*(-9)\/(1287\/(-26)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -643, -882, -1121, -1360?\nAnswer: -1599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7745?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a litre in millilitres?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 26292606 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 + -230011602?\nAnswer: -230011604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 33 to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12369 and 352545?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 199293217 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of 0*w**5 - 91 + 3\/2*w**6 - 35\/2*w**2 + 0*w + 0*w**4 + 2\/3*w**3. What is the second derivative of l(k) wrt k?\nAnswer: 180*k**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 1\/10, 92504 in ascending order.\nAnswer: -2\/9, 1\/10, 92504","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*c + g - 115239 = 89*c, 0 = -4*g - 36. Does 17 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.1 + 2.4. Let a = 1 - 4. What is the smallest value in 1\/2, q, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 - (-1)\/((-2)\/(-24)). Suppose -i*g - 14 = -6. Let c be (0\/2*g\/3)\/(-2). Which is smaller: c or -76?\nAnswer: -76","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7)\/42 + (-43)\/(-6). Let n be r\/((4 - 5)*-1). Solve n*s + 11 = -3 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 32908 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-102)\/187*((-1)\/3 - 0). Factor -10\/11*w - s*w**2 + 0.\nAnswer: -2*w*(w + 5)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -6 - (7 + (-11 - -4))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -200, -387, -574?\n\"Answer: -187*i - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 34527, 33805, 33083, 32361, 31639?\n\"Answer: -722*r + 35249","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 6*q = -2*q - 22, 5*q - 14 = 2*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + s + 4*w - 962, 2*s - 977 = -w. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((20\/35)\/(-4))\/((-8)\/32)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of 0*t + 1\/6*t**4 + 4*t**2 + 0*t**3 - 1\/30*t**6 + 0 + 0*t**5. Factor r(p).\nAnswer: -4*p*(p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/(3 + (-20)\/6). Find q, given that 0*q**3 + 0*q**3 - 3*q**5 + 3*q**w + 6*q**4 + 6*q**5 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + k - 35 = 0, 0*h + 15 = 5*h + 5*k. Let l be ((-4)\/h)\/((-1)\/8). Let t = -1080 + 1081. Sort l, t, 5.\nAnswer: t, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.037, 5, -57, -1, -1\/7, 2, 0.7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -4.5, 0.4, 2\/9, -1\/8 in descending order.\nAnswer: 0.4, 2\/9, -1\/8, -0.2, -4.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 2.8739\nAnswer: 11.4956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -i, -2*j - 9*i + 5*i = 0. Suppose j = -318*h + 320*h - 8. What is the greatest common factor of h and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 172 - 178. Let h(m) = m**3 + 9*m**2 + 19*m. Let z be h(g). Put -5, z, -1 in ascending order.\nAnswer: z, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5261639 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 + 21*r**2 + 21*r + 22. Let a be g(-20). Let s be a + (-12)\/(-8)*-4. Is s\/(-1)*321\/6 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/7 > -2\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 87473 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-208)\/78*(85\/20 + -5). Solve m*g - 333 = -343 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrbar. Give prob of sequence rb.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 451331842.\nAnswer: 2, 13, 227, 76471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 5029*n + 1935*n - 1629*n + 4796*n in the form b + c*n and give c.\nAnswer: 10131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 - 5*x**2 + 11*x + 6. Suppose 30*h - 63*h - 231 = 0. What is u(h)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-34)\/(-16) + -2)*194 and (-58)\/854*(1\/14 + 2350\/(-658))?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84089 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7861.\nAnswer: 7, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 105236258?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.598396 meters in millimeters?\nAnswer: 9598.396","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 242?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2.25 and -17.38?\nAnswer: 39.105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 5*s + 11, 2*d + 41 = -5*s + 2. What is the smallest value in 2\/57, 0, -6, s, 5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h - 2. Let p be x(-6). Solve 0 = -p*o - 16 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 235508?\nAnswer: 2, 7, 13, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -559 - -587. Let y(m) = 156*m - 157. Is y(l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 1 + (sqrt(2448) + (sqrt(2448) - (-2*sqrt(2448) + -4)) + sqrt(2448))**2 + -2.\nAnswer: 480*sqrt(17) + 61212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 4*q = 2*b - 0*b - 16, -13 - 21 = -4*q - 2*b for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 579347033 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 205334 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/2, 0.1, 1, -7465?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 82813.79 millilitres?\nAnswer: 82.81379","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + -6. Suppose 36 = c*k - 0*r - 2*r, 4*r = 5*k - 85. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1059 - -5?\nAnswer: -1054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12845 - 282515\/22. What is the common denominator of k and 10\/32*189\/(-15)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b - 3*b + b**2 + 4 - 3*b + 3*b. Let g be p(4). Suppose -g*a + 92 = -48. Does 16 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 4*j**2 + 2*j - 3. Let m = 149 + -157. List the prime factors of l(m).\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - 0. What is the units digit of (-26 + (-3 - a))*-1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/4*344\/1290?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(sqrt(70)\/sqrt(10))*-3.\nAnswer: -3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -141\/113 at least as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*v + 6*v + 4963 = 0. What are the prime factors of v?\nAnswer: 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10100 divided by -404\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2*u + 263 = 0, 18*s - 17*s - 3*u = -238. Let y = s + 529. Is 4 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (75\/((-10)\/(-2)))\/3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*r**5 + r**5 + 4*r**5 + (-1 + 2 + 1)*(4*r**5 - 4*r**5 - 2*r**5) - 1780758*r**2 + 1780758*r**2 - 916*r**5.\nAnswer: -919*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + 21 + -10 + -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes after 5:53 AM?\nAnswer: 6:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -972.91\nAnswer: -389.164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 714003 is divided by 2125.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 26 - -6326.7.\nAnswer: 6352.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 110 and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-238)\/(-5) - (-10)\/25. Suppose -4*k + 2*r - 6 + t = 0, 3*k + 2*r = 42. Calculate the least common multiple of 5 and k.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.48189499 rounded to three decimal places?\nAnswer: -0.482","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/(56\/(-51) + 1) and 6\/1 - (-745)\/(-40)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12*r**2 + 3*r - 42 + 81*r**2 - 25*r**2 - 13*r**2 - 13*r**2 wrt r.\nAnswer: 36*r + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppppdppdpp. What is prob of picking 2 d?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -9*j**2 - 3*j + 2. Give k(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37, 71, 125, 205, 317, 467, 661?\nAnswer: 905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 AM and 7:00 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + b - 10 = 3*b, -5*l + 3*b + 15 = 0. Let c = 9 + l. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 + x + 3. Calculate k(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/4))**(9\/8)\/(i**0)**(-2\/15) assuming i is positive.\nAnswer: i**(-9\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 9) to base 5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m + 3*z - 12 = -6*m, -4*m - z = 1. Suppose -n - 30 = -4*n. Suppose -2*r + 0*r = 4*a - n, -3*r = -a - 8. Put m, 0, r in descending order.\nAnswer: r, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 124 and 124123876.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.8756 and -0.05?\nAnswer: -0.09378","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*y - 26*y + 229*y to g + c*y and give c.\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 718?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/1467 and 121\/48.\nAnswer: 23472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 711?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -39, -179, -405, -711, -1091, -1539, -2049?\n\"Answer: m**3 - 49*m**2 + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1182 + -9455\/8. Let q(l) be the third derivative of 0*l + l**2 + 1\/70*l**7 + i*l**4 + 3\/40*l**6 + 0*l**3 + 0 + 3\/20*l**5. Let q(u) = 0. What is u?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1029.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1\/6 + -1\/2. Let p = -204.75 + 205. Let a = p + -0.75. Put k, 7, a in ascending order.\nAnswer: a, k, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3317 divided by -11156\nAnswer: 3317\/11156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 93\/2 + -59. Let x = 11 + m. Suppose 9 = 3*k - 4*n - 0, 3*k - 2*n - 3 = 0. Is k > x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 167\/166560 and 33\/471920.\nAnswer: 2831520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -74881 - 21619. What is o rounded to the nearest 10000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3028.014385 + -3028. Round a to four decimal places.\nAnswer: 0.0144","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zellylzyl. What is prob of picking 1 l and 2 z?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 574, 1159, 1762, 2389, 3046, 3739?\n\"Answer: j**3 + 3*j**2 + 569*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v + 3. Let m be b(-3). Suppose 0 = -m*x - 3*x + 21. Calculate the smallest common multiple of 17 and x.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 10244331 and 3013.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = 5*m + 35, -28 = 161*q - 164*q + 4*m for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -126584997 divided by -121.\nAnswer: 1046157","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d6c9 + 1c?\nAnswer: -d6ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 348449?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 = -2*h - h + 4*r, -107 = 3*h + 4*r. Let o = -45 - h. Let k = o + 55. List the prime factors of k.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 3*q**2 - 10*q - 6. Let d be g(5). Suppose 4*h + 11 = d. Factor -2\/5*m + 6\/5 - 4\/5*m**h.\nAnswer: -2*(m - 1)*(2*m + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w**3 - 102*w**2 + 53*w - 2694. Determine t(51).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/6)\/((-6)\/18). Let a = 2.6 + -7.6. Put n, a, -1\/2 in descending order.\nAnswer: n, -1\/2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/4 of a century?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97202 (base 11) to base 10.\nAnswer: 141330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + s = 4, -8*g + 11909 = 5*s + 11897 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(5\/3)*g**3\/g)**4 assuming g is positive.\nAnswer: g**(16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/9 - 25\/57. Let h be ((-160)\/45 + 4)*214\/4. Let i = -24 + h. What is the smallest value in n, -2\/3, i?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + (17 - 31) + -13?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26930 is divided by 94.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -3 (b) 5 (c) 3\/34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 0.12864?\nAnswer: 0.12864","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of 0*n**3 + 0 - 3\/2*n**2 - 1\/24*n**4 + 4*n. Let y(p) be the first derivative of t(p). Let r(m) = 2*m. Calculate r(y(a)).\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1159 * -0.00625.\nAnswer: 0.000724375","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*v - 11. Put 4, -7, v in decreasing order.\nAnswer: 4, v, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3*(2\/12)\/((-7)\/1190). Is -85 at least m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 2*p**2 + 1 - 36*p - 11*p**2 + 36*p + (-1 + 1 + 3)*(-1 + p**2 + 1) - 2*p**2 + 3*p**2 + 0*p**2.\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 995*u**2 + 2 + 1000*u**2.\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2 * 41\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 232*l - 56. Give j(-3).\nAnswer: -752","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + -5 + sqrt(300) + sqrt(300) + 0 + sqrt(300) + -1*-1*sqrt(300) + 4)*6*2)**2.\nAnswer: -11520*sqrt(3) + 691344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13150 and 2950?\nAnswer: 775850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((-5 + sqrt(325) + 1)*2 + -1*(sqrt(325) + -1 + 5 + sqrt(325)))*-2)**2 + -5.\nAnswer: 14395","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1, -4, 3, 0.1, -0.11, -41\/121?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00919 to three decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*q + 4*q + 5, -5*r - 2*q = 25 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*p - 70 + 70 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ftr when three letters picked without replacement from errefrrftdrf?\nAnswer: 1\/88","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -535959.9 rounded to the nearest one thousand?\nAnswer: -536000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 30 = 3*i - 2*w, -4*w - 8 = 4*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/8)*x*(x\/(x\/x**(-1)))\/x*(x*x*x**(-10\/3)*x)\/x**(-10))**(-20))**(-39) assuming x is positive.\nAnswer: x**(13715\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 63*d + 2711. Give o(-43).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vrrrvrvrrrrvrr. Give prob of sequence rr.\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 4*a = 0, 3*d - 16 = 48*a - 50*a for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 13 + -18 + 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -3 (b) 0.196 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 5*f = 10*f. Suppose -17*j + 19*j - 470 = f. What are the prime factors of j?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, -649, -2\/19, 3, 22.\nAnswer: -649, -2\/11, -2\/19, 3, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 257 a factor of 55674541?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -6*q - 23. Let k(t) = -3*t - 11. Let y(l) = -9*k(l) + 4*p(l). Is y(0) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 452 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 25670*t**2 + 32677909*t - 1273 = 0?\nAnswer: -1273, 1\/25670","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 92*k**2. Let q be b(1). Let h = -171 + 73. Let f = q + h. Let g(x) = 6*x**2 - 4*x - 1. Let l(u) = 7*u**2 - 5*u - 1. What is f*g(s) + 5*l(s)?\nAnswer: -s**2 - s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/105*14*27\/(-18) - -7. Solve v*x - 16 = 2*c, -3*x = c + 6 - 9 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -86067*v + 6*v**5 + 86063*v - 406 + 84*v**2 - v**5 + 36*v**5 wrt v?\nAnswer: 820*v**3 + 168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, 11794, 16 in ascending order.\nAnswer: 1, 3, 16, 11794","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by -78373?\nAnswer: -3\/78373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*r + 0*r + 0*r)*(2 - 4 - 2)*(0*r**4 + r**4 + 0*r**4).\nAnswer: 20*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3199 a multiple of 60?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/2*4\/(-9)*-6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 28 + -3?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of 19*w**5\/60 - w**2. Suppose 63 = -0*o + 7*o. Let c(y) = -13*y. Let p(r) = -6*r. Let g(d) = o*p(d) - 4*c(d). What is g(a(n))?\nAnswer: -38*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 4 = 4*z, -14*v + 10*v = -z + 1. Let p(f) be the second derivative of -1\/6*f**4 + 1\/3*f**3 + v - 6*f - 1\/2*f**2. Give p(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*s - 98 = -5*s + 11*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 21*j - 137. Give d(8).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 8*z - 27. Calculate the greatest common divisor of 81 and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 101534860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -3*f + 5. Suppose -2 = -2*u - 3*a + 31, 0 = 4*u + 4*a - 56. Let k(t) = -u + t + 1 + t + 5. Calculate -8*k(i) - 5*n(i).\nAnswer: -i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((1*sqrt(130))\/sqrt(10) + 4).\nAnswer: 2*sqrt(13) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of -7*b**5\/10 - 91*b**4\/12 - 91*b**3\/6 - 91*b**2\/2 + 86*b. Let g(f) = -f**3 - 6*f**2 - 6*f - 6. Calculate -91*g(o) + 6*v(o).\nAnswer: 7*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 237*f + 153 = 186*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/(1960\/(-15)))\/(1\/(24\/6)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of d**4\/6 + d**3\/2 + 755*d**2. Calculate j(7).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1801 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + 257 - 305. Let u(j) = -11*j - 9. What is the remainder when u(-5) is divided by a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 5*o - 17. Suppose 4*c = -4*s + 16, 0*c = s - c - o. Solve 0 = x - s*x - 4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/5 - 58*l\/5 - 816\/5.\nAnswer: -(l + 24)*(l + 34)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.9444 - -0.0256. Let k = 0.03 + d. Let y = 9 + -9. Sort k, 1, y.\nAnswer: y, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v - 3*v + 0*v + (3 - 4 - 1)*(-337 + 337 + 55*v).\nAnswer: -115*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001 + -111001100011111100?\nAnswer: -111001100011110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 272825892, -3 in ascending order.\nAnswer: -3, 5, 272825892","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2171 is divided by 68?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 plus -23080397.81?\nAnswer: -23080397.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 68*v - 40*v - 32*v.\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -40.2 - -39. Let f = y - 12.8. Let a = -14 - f. What is the nearest to a in -0.3, 3, -2\/3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42118229 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 847?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -197*w - 64*w = -210959 + 204956 for w.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -389, -10, -34, 5, -4 in descending order.\nAnswer: 5, -1, -4, -10, -34, -389","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f + 1. Let u(r) = 2*r + 5. Let k(z) = z. Let q(d) = 6*k(d) - u(d). Let g(j) = -2*c(j) + q(j). Calculate the common denominator of g(-5) and -43\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -109.42117 and 0.4.\nAnswer: -43.768468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 750 is divided by 189.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6.1 - -0.1. Let d = n - -4. Suppose 0 = 2*p - 0*p. Which is greater: p or d?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1819 is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -3*d. Let h be (-6)\/4*(-12)\/18. Let f(q) = -3*q**2 - 4. Let k(g) = 3*g**2 + 1 - g**2 - g**2. Let t(r) = h*f(r) + 4*k(r). Give t(s(n)).\nAnswer: 9*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*v + 21 + 5 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -93\/2 and -41\/228920?\nAnswer: 228920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 768 divided by -96.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 120641 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 41 + -39. Suppose -i*d = 4*n + 6, 3*n + 5 = d + n. Find the common denominator of 8\/3 and (30\/(-44))\/((-35)\/30 + d).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 + (-5 - 0 - 6) + 43\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2 + 12*i - 32.\nAnswer: 2*(i - 2)*(i + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48 and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -23880000 rounded to the nearest 1000000?\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 232793 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 5*t - 14, -2*v = -4*v + 2*t + 42. Suppose 16*o + 4 = v*o. Let l = -0.2 - 0. Which is bigger: l or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 2*n = 2 - 16, -2*n - 4 = -2*d. Let x(k) = -2*k**3 - 7*k**2 - 7*k. Let p be x(-6). Is (-1 + 0 - d) + p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the third derivative of -z**8\/504 - z**7\/945 + z**6\/108 + z**5\/270 - z**4\/54 - 14*z**2. Solve d(x) = 0.\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 3*o, -3*o + 0*n - 2*n = 0. Which is the smallest value? (a) o (b) -4 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(6*(sqrt(119) - -3*sqrt(119)) - sqrt(119))\/(sqrt(700)*-3).\nAnswer: 23*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of -20*((-16)\/(-10))\/((-18)\/27)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m**2 + m**3 + 16*m**2 - 19*m**2 + 2*m**3 - 3*m + 72 to f + u*m + w*m**3 + o*m**2 and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + -4cc24a?\nAnswer: -4cc245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2 - 1) + 3 - 1) + -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) + sqrt(180) + -2 + 5 + 5)*3.\nAnswer: 24 + 21*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -3*w**2\/4 + 807132*w - 9685557\/4 = 0.\nAnswer: 3, 1076173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 25\/6*36\/45*300\/400. What is the biggest value in 0.4, -60, 3, -0.4, k?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/1077250 and 161\/2790.\nAnswer: 9695250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express 137*r**2 - 137*r**2 - 73*r**4 + (21 + 4*r - 21)*(-r**3 - 3 + 3) as z*r + x + f*r**3 + u*r**2 + c*r**4 and give c.\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -m + 2*m. Find the second derivative of -3*l**5 + 4*l**5 - 6*l - m*l**5 wrt l.\nAnswer: -40*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 85377321*a**5 + 4*a**3*g - 2637*a**2 - 199*g + 70 wrt a?\nAnswer: 5122639260*a**2 + 24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/4 (b) 0.4 (c) 1\/10 (d) 5\/4 (e) -5\/1277 (f) 6\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -6*u + 40. Calculate h(8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 12:51 PM?\nAnswer: 8:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 21*h**2 + 6*h - 5. What is t(-1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 72*s**3 - 25 + 12.\nAnswer: -72*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of -u**5\/30 + 7*u**4\/18 - 14*u**3\/9 + 8*u**2\/3 - 69*u. Factor q(f).\nAnswer: -2*(f - 4)*(f - 2)*(f - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 8) to base 10\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -631\/95 at least as big as -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 4*q + 3*d - 16, 5*q = -4*d + 40. Suppose 0*t = -5*m + 5*t + 30, 3*m + 10 = -q*t. Solve 0*o + 8 = -m*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 5*p + 0*p = -1, -n = 5*p - 6. Let o(f) = f - 3 + n + 1 + f**2 + 2. Let b(a) = 3*a**3 - 4*a**2 - 4*a - 4. Calculate b(t) + 4*o(t).\nAnswer: 3*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 13) to base 2\nAnswer: -1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 436720 times -6.59\nAnswer: -2877984.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 3*t - 1 + 5, 4*s + 16 = 0. Suppose -6*f + t*f + 152 = 0. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 203993369 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1506591, -1506954, -1507317, -1507680, -1508043?\nAnswer: -1508406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19619.\nAnswer: 23, 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 + 4*x - 4. Let v = -15 - -10. Let d(u) = -u + 4. Let h be d(v). Let b(q) = 2*q**2 - 9*q + 9. Give h*j(a) + 4*b(a).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-28)\/(-21))\/((-1)\/(-3)). Suppose c*p = 48 - 0. Let f be 3\/((-9)\/3)*1. Sort -2\/21, f, p in increasing order.\nAnswer: f, -2\/21, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30 (base 6) to base 2.\nAnswer: 10010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 2 h when three letters picked without replacement from {b: 4, z: 5, h: 2, c: 2}?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (8 + (-4 - 0) + 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3623283*q**4 + 56*q**3 - 16*q**2 - 2*q - 1744703 wrt q?\nAnswer: 86958792*q + 336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000455 rounded to 3 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 7:55 PM?\nAnswer: 12:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22342, -44898, -67454, -90010, -112566?\nAnswer: -135122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -12646192700 rounded to the nearest 1000000?\nAnswer: -12646000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*k - 38 - 29 + 17 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2007*a**3 - 220 - 17*a**2 - 2006*a**3 + 220.\nAnswer: a**3 - 17*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 959, 738, 517, 296, 75, -146?\n\"Answer: -221*p + 1180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*i - 7*i - 558 = 0 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/7, -13, -452, -1, 994, -0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/((((x*x*x*((((x*x\/((x*x**(-1\/4))\/x)*x)\/x)\/x)\/x)\/x*x)\/x)\/x)\/x))**(-7\/3)*x**5\/x*x**(-9) assuming x is positive.\nAnswer: x**(-109\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/(-15))\/(8\/10). Let t be (-2)\/(-1)*-3 + -2. Let r be 1 + 2\/t + -1. Which is the closest to r? (a) f (b) 0.1 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 25, 0.39, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 12*h - 1. Let o be 2 - 0 - (-4)\/(-1). Let x be z(o). Let k be (x\/(-4))\/(1\/8). Calculate the greatest common factor of k and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 w when three letters picked without replacement from {p: 1, w: 5, z: 4}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 0.1 (b) -2\/3 (c) -1\/2 (d) -26 (e) -1\/350\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minus -18.5359?\nAnswer: 288.5359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7\/183 + 7109\/732. Calculate the common denominator of t and 9\/19.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 1 + 0 + -6\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 26*s**3 - 2*s**2 + 3*s + 2. Suppose 0 = -84*l + 74*l + 20. Let h be m(l). Calculate the greatest common divisor of 26 and h.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 25 and 58519325.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2110201 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 88 = 3*a. Let g(b) = -3*b - 1 + 11*b + 7*b**2 - 4*b + b**3. Let m be g(-6). Calculate the highest common factor of a and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u be 26\/(-169) - (-36)\/65. Let p(l) be the first derivative of 2 - 3\/5*l**2 + u*l**3 - 1\/10*l**4 + 2\/5*l. Factor p(x).\nAnswer: -2*(x - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2. Let n(h) = -10*h + 3 + 10*h - h**2. Let r(v) = 3*f(v) - 2*n(v). Let m(j) = 2*j**2. Give r(m(d)).\nAnswer: 8*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*y + 762 + 913 - 36. Solve 43*k = -23 - y for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59453 is divided by 184?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*h**2 - 229*h + 136*h - 46*h + 1 - 227*h + 0*h**2 to the form v*h**2 + l*h + o and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 3, i: 3}. What is prob of picking 1 r and 2 i?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 66*t + 660. What is w(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 1537?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = d + 6, 0 = -2*d - j + 2*j. Suppose d*w = -5*h + 127, -4*w + 70 = -3*w - 4*h. What are the prime factors of w?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44*y - 3*y**2 + 30*y + 20*y - 94*y.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(1*sqrt(156) - sqrt(156)))\/(sqrt(1200)*-1) + (sqrt(65) + -4*(sqrt(65) + sqrt(65)*-1))\/((sqrt(5) - sqrt(5)*-1)*-4))**2 + -2.\nAnswer: -115\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 1)*(3 - 6*f - 3)*(1 + 2 - 4)*(-2 + 4 + 1).\nAnswer: -36*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of r**8\/84 + 41*r**5\/12 + 2905*r**4\/24 - r**2 + 256*r. What is the second derivative of d(o) wrt o?\nAnswer: 80*o**3 + 410","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7660 = 35*t + 8080 for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*b + 16 = 42*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/5 of a litre in millilitres?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 889579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**2 - 52*b - 321. Calculate f(-11).\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 158 = -5*s, 2*s - 3*y = -2*s + 108. Suppose s*t + 990 = 35*t. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lll when three letters picked without replacement from {t: 4, l: 3, k: 4}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 - 0. Let u = p - -22. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 889.5? (a) -1\/10 (b) -4 (c) 0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 567 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83 is divided by (-57)\/6*-3 + 8\/(-16)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the first derivative of 27*z**2\/2 + 54*z - 125. Let q be x(-2). What is the biggest value in q, 2\/11, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 - 5*g**2 + 4*g - 4. Let w be x(4). Are -4 and w nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -7978*j**2 - 117*j - 4656. Let a(k) = 1994*k**2 + 27*k + 1164. Let m(f) = -13*a(f) - 3*p(f). What is the first derivative of m(u) wrt u?\nAnswer: -3976*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13249 is divided by 730?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 160 + -157. Differentiate -44 + 9*d**3 + 36 - 33*d**n - 49 wrt d.\nAnswer: -72*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -278232.32 to the nearest one hundred.\nAnswer: -278200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-16)\/(-12)*((-47)\/(-22) + (-26 - -24)). Let s = 17.1 - 17. Let y be (-2)\/(-8) + (-3)\/(-4). What is the closest to s in y, d, 2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2*c**2 - 12*c - 315. Let u be w(-10). Calculate the greatest common factor of 2285 and u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -3*u + 3. Suppose -2*z - 3*m - u = 0, z - 6*z = 4*m + 14. Which is bigger: 0 or z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 338631?\nAnswer: 3, 112877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 + 5*i + 2. Let g be q(-6). Let u(s) = -4*s + 81. Let k be u(g). Calculate the highest common divisor of k and 147.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 962, 994, 1026, 1058, 1090, 1122?\n\"Answer: 32*a + 930","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -1757, 0, 5 in ascending order.\nAnswer: -1757, -5, -2, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 757906 - 18567887.\nAnswer: -17809981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -4*m**2 + 1256*m - 98596 = 0?\nAnswer: 157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -242 - 117?\nAnswer: -359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*p + 141 - 29. Suppose -c + 14 = g, g - c - p = -0*c. Calculate the remainder when (-72)\/(((-32)\/48)\/((-16)\/(-18))) is divided by g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 147 - 399. Let q = a - 88. Let t(g) = g + 2. Give t(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -5.3. Let b = -64 + 64.41. Let x = 0.11 - b. What is the third biggest value in x, 1, v?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25628, 25642, 25658, 25676, 25696, 25718?\nAnswer: 25742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 3*a + 17 = 4*c, -4*a + 16 = 3*c. Let n be 6 + (-4088)\/(-24) + (-2)\/(-3). Let d = -1592\/9 + n. Is d at least a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y + 2. Let o be d(0). Let v(w) = -w**2 - w**o - 3*w**2. Let h(b) be the second derivative of -b**3\/6 + 38*b + 1. Give v(h(p)).\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 105*j - 15. Let b(f) = 60*f - 14. Determine 6*b(u) - 5*p(u).\nAnswer: -165*u - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19def (base 16) to base 4.\nAnswer: 121313233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r - 2*r**2 + 11 - 9 - 2 to d*r + s + l*r**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11286391*s**5 - 28759076*s wrt s?\nAnswer: -225727820*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3203 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -371.9 - -369.9. What is the closest to -0.6 in -3, 1, h, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, z: 1, u: 1, y: 1, e: 1}. What is prob of sequence zz?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 479526 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 + 9 + 0 - (5 - 9)) + 5?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1493*l - 18*l**2 - 4442*l + 1469*l + 1480*l.\nAnswer: -18*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 99229*y**2. Let w(v) = -10*v. What is w(m(j))?\nAnswer: -992290*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -24*v + 20*v + 1293, -4*x - 2*v + 1038 = 0. Let z(b) = -9*b + 3*b**3 - 4*b**3 - x - 9*b**2 + 263. Determine z(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 44, 8, -1, 4 in ascending order.\nAnswer: -1, 4, 8, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-40)\/(-4) + 645\/(-43)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-3*sqrt(425))**2*1)*4 + ((2 + 2*sqrt(425) + sqrt(425))**2 - 5*sqrt(425)*5).\nAnswer: -65*sqrt(17) + 19141","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddcd. Give prob of sequence cddd.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 411576646 a multiple of 563?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5798\/11 + -4806\/11. Let y = k + -2195\/33. Find the common denominator of y and 4\/(-30) - 5012\/840.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/4 - (-874)\/152. Solve 0 = -k*i + i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (-1 + -5)) + -4 + -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cv when two letters picked without replacement from dvdkuxuc?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 30, -4, 3 in decreasing order.\nAnswer: 30, 3, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6142 or -6145?\nAnswer: -6142","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 w, and 1 h when three letters picked without replacement from {u: 4, v: 2, a: 5, w: 1, h: 2, n: 1}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2256198 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -39*g - 17. Let o be j(-3). Let n = o - 100. Solve n = 29*z - 26*z + 9 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 0.06\nAnswer: -0.012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 + 3*u + 1400. Give x(-36).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -10*o - 5. Let t(w) = 9*w + 4. Let n(m) = 3*b(m) + 4*t(m). Let p(z) = -z. What is -n(k) - 5*p(k)?\nAnswer: -k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (((sqrt(900) + -3*sqrt(900))*-2)\/(sqrt(125) + -5*(sqrt(125)*-3 - sqrt(125))) + 1)**2.\nAnswer: 16*sqrt(5)\/35 + 1044\/245","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 p when four letters picked without replacement from ppqqqqpppppqp.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 (base 10) in base 6?\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202333511 (base 6) to base 14.\nAnswer: 66861d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 570?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -87930*u**2 - 45*u - 90. Let g(a) = 3997*a**2 + 2*a + 4. Calculate 45*g(x) + 2*q(x).\nAnswer: 4005*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4343 - 4340. Let g be 258\/2 + 1 + -3. Suppose 3*q - l = 152, 5*l - g = -p*q + l. List the prime factors of q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17022 = 606*k - 13619 + 31745 for k.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -3*q. Suppose w + 2*w = q. Let m(d) = -d**3 + 6. What are the prime factors of m(w)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 + -197 + 72 - (-1 - (106 - 5))?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1611 (base 12) to base 2.\nAnswer: -101000101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 + 2*f**2 + 31*f + 157. What is s(-6)?\nAnswer: 259","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-38 - ((14 - 27) + -11)) + (1 - -14).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -28 + 30. Let s be 507 + (-3 - -4) + w. What is the common denominator of 2 + 1 - s\/96 and -13\/2?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 343810514?\nAnswer: 2, 269, 639053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35652 is divided by 35575?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/((s*s**(1\/10)\/s)\/s))\/s*s**(-10)\/s)**42*(s*s**(7\/3)*s*(s*s\/(s\/(s*s\/(s*s**11\/s*s*s))))\/s)**(-8) assuming s is positive.\nAnswer: s**(-5563\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -50*v + 1144. Let a be c(19). Calculate the greatest common factor of a and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {v: 2, o: 1, b: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 PM and 4:17 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 5*w - 2*w)*(-3 + 5 - 4)*(-w - 2*w - w)*(-12*w - 142 + 142)*(0*w - w - w).\nAnswer: 192*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*i - 199*i + 477 = 0. What is the closest to -0.006 in 0.4, 0.2, i?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 988599763?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2072.\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 24, 37, 56, 81?\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-10)\/d)\/(d\/(d*d\/(d**(1\/2)*d))))**33 assuming d is positive.\nAnswer: d**(-759\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 PM and 4:13 AM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence flof when four letters picked without replacement from llolfffofflo.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -x + b, 2*x - 86 = 2*b + b. Let i = -24 + x. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-15) - 243\/15. Let h = y + 22. What is the remainder when h is divided by (-20)\/15*(-3 + (-1 - -1))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -2*t + 4305006, t + 102 - 105 = 0. What is h rounded to the nearest 100000?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 622157191, 622157189, 622157187, 622157185?\n\"Answer: -2*d + 622157193","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21865 - -21860.5731. Round o to 1 decimal place.\nAnswer: -4.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -637 - -7992. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 i, and 2 w when four letters picked without replacement from ennqenwihweiieeee.\nAnswer: 9\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 + 3*x + 2. Let z(k) = -k**2 - 17*k - 24. Let l be z(-16). What are the prime factors of a(l)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 4*c - 38 = -13, -2*l + 7 = c. Suppose -11*o - 5*y + 16 + 74 = 0, -55 = -4*o - 5*y. What is the remainder when o is divided by l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -46*s - 1. Suppose 5*d - 9*j = -6*j - 8, -3 = 5*d + 2*j. Calculate the remainder when l(d) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of -b**6\/15 - b**5\/60 + b**4\/24 + b**3\/6 + 3*b**2 + 1. Let y(p) be the second derivative of t(p). Determine y(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1674.09 times -2.6?\nAnswer: -4352.634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 3 - 18)*(4 + 2*x**3 - 4) - x**3 - 3*x**3 + 5*x**3.\nAnswer: -27*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-524)\/655*2*(-25)\/(-1020).\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = -2*r + 29, -4*r + 5 = -3 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 388*g**2 + 1788*g + 8. What is p(-5)?\nAnswer: 768","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -9890*g - 21. Is w(-2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 12*a - 3. Let k be j(2). Suppose -506 = -4*d + 58. Is d\/k - (-4)\/14 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1370.753 and 0.5?\nAnswer: 1370.253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 70 and 170?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of -q**5\/15 - 59*q**2. Let n(c) be the first derivative of 3*c**2\/2 - 1. Calculate d(n(t)).\nAnswer: -36*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3677926 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, u: 2, x: 1, s: 1, g: 2}. What is prob of picking 1 u and 1 x?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 92592*p**3 + 6*p**2 - 2*p - 13. Is v(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**4\/10 - 5*h**3 - 561*h**2\/10.\nAnswer: -h**2*(h + 17)*(h + 33)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/2160 and 79\/38070.\nAnswer: 304560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -101, 0, 2\/155, 1\/3, 2\/19?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 123658975, 123658978, 123658981, 123658984, 123658987?\n\"Answer: 3*y + 123658972","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -453 + 658. What is the tens digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 632 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2 + 2)*(6*s + s - s)*(-4*s**2 + 2*s - 3*s**2 + 4*s**2 + 1) to the form a*s + b*s**3 + l*s**2 + m and give b.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 756 + -2?\nAnswer: 754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -632 divided by -158\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 219\/45 + -5 + 4277\/15?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-426)\/(-710))\/(6\/(-820)).\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 5671*w. Let l(o) = -5784*o + 2. What is l(b(v))?\nAnswer: -32801064*v + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*y - 330 = 43*y. List the prime factors of y\/(-24) - 3 - 1117\/(-4).\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4030 = -45*w + 12535. What is the remainder when 7370 is divided by w?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 - 15*g - 2 + 166*g.\nAnswer: 151*g - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5215 = -12*c + 5*c. Does 8 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:42 AM and 9:04 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.463 (b) -1\/3 (c) -9 (d) -3\/4 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 10*33\/5*128\/(9216\/60)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/(o**(-4\/9)\/o))*o**(2\/9))**3\/(o*o*o\/o**(-9\/2)*o**(-5\/6)*o**(-9)*o*o\/o**(-8)*o) assuming o is positive.\nAnswer: o**(-37\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) be the second derivative of 0*m**2 - 9*m + 0 - 2\/3*m**3. Let q(g) be the third derivative of g**4\/12 + g**2. Calculate q(v(a)).\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3681 + 3681.07188. What is i rounded to two decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35634, -71592, -107594, -143640, -179730?\nAnswer: -215864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2503 + 3*j + 4*j + 2553 - 3*j - j in the form k + r*j and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -325.7 - -329.7. What is the second smallest value in 207\/5, l, -0.4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1791, 1858, 1949, 2064, 2203?\nAnswer: 2366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 308853 by -1.\nAnswer: -308853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (-3 + 2 - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (((-9)\/(-1))\/(-3) + 3)\/2. Suppose -25 = 3*v - 8*v. Suppose -v*q + 17 + 8 = 0. Put w, q, 4 in decreasing order.\nAnswer: q, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 - 31*u**2 + 442*u - 13711. Give s(31).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -2157000 to the nearest one hundred thousand.\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98 is divided by 52.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 3 + 2 = 0. Suppose x*p - 3*p = 0. Suppose 3*a + m - 4 = p, 3*a + 0*m = 2*m + 10. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10*10\/120*3978\/22100\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120508 times 0.4?\nAnswer: 48203.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 - 2*x**2 + 2*x + 4. Is k(4) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 92, 174, 246, 302, 336, 342, 314?\nAnswer: 246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25750 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 16984, 20311, 23624, 26917, 30184?\n\"Answer: -q**3 - q**2 + 3337*q + 13649","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 87253?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35 - (33 + -73) - 26.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 16 - 7\/(7\/4). What is the greatest common divisor of 132 and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -4, 14, 32, 50, 68?\n\"Answer: 18*u - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1910\/9 + -212. Put b, -5, -1\/4 in decreasing order.\nAnswer: b, -1\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 3*f = -29, -5*t - 11*f + 8*f = 11. Suppose c = 3 + 10. Suppose -4*w + t*w + c = l, -5*l - w = -92. Is 19 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -744 + 402. Let c = -354.85 - u. Let j = 13 + c. What is j rounded to two dps?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x**2 - 3*x**2 + 6*x**2 + 0*x**2 - 3*x**2.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.42 and -0.52.\nAnswer: 0.7384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-5\/2)*v)\/v*v*v**(-26))\/(v*v**(-14)*v*v**4) assuming v is positive.\nAnswer: v**(-39\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31134799?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*o - 5*o = 40. Find the second derivative of 3 - 323*n**4 + 324*n**4 - 65*n - 3*n**o + n**5 - 3 wrt n.\nAnswer: -40*n**3 + 12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 11) + 6\/1080*876\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-102)\/24)\/((-2)\/(-8)). Let x = f + 39. Let b = x - 14. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 + -3. List the prime factors of 7\/((2 - 0)\/v).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the first derivative of -i**3 - 6. Let h(p) = -6*p**2. Calculate h(m(d)).\nAnswer: -54*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.808995428 + 5.809. Round v to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 444*f**2 + 291*f + 45.\nAnswer: 3*(4*f + 1)*(37*f + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d + 22. Let h be p(10). Calculate the remainder when ((-1564)\/(-51))\/(1\/(h + 1)) is divided by 25.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100131210002 (base 4) in base 11?\nAnswer: 2488246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 3)*(2*k**2 - 3*k**2 + 6*k**2) + 1522 - 2192 + 7*k + 2*k**2 + 746.\nAnswer: -8*k**2 + 7*k + 76","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10030*y**6 - 2*y**2 - 58*y - 16.\nAnswer: -1203600*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -119 - -118. Let h be (1 - c) + 888\/4. Suppose -2*m + 44 = -h. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.0312 + -13.9688. What is the second smallest value in -2, -8, h?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -4*u + 46, 3*d + 4*u = 3*u + 22. Suppose -w - 2*w = d. Let s be 1\/2 + (-3)\/w. Solve s*a = -0*a - 2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j*j**(-45)*j*j*j*j*j)\/((j\/(j\/(j\/j**(29\/4))*j*j)*j)\/j))**41 assuming j is positive.\nAnswer: j**(-4879\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/5 (b) 0.4 (c) -10 (d) 360\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6679, 7757, 8839, 9931, 11039?\nAnswer: 12169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21971611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/54*3\/(-5))\/(36\/27)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.251 - -0.251. Suppose 2*q = -v - q + 27, v + 5*q = 17. Let y be ((-4)\/v + 0)*3. Which is the third smallest value? (a) y (b) -0.3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 - 14*b**2 + 15*b. Let k be c(-15). Let s(i) be the second derivative of i**3\/6 + 27*i**2\/2 + i. Is 12 a factor of s(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41792 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 342*z - 171*z - 173*z. Let m(f) = 2*f. Let y(u) = 2*u. Let x(b) = -3*m(b) + 4*y(b). Calculate 4*p(j) + 5*x(j).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a kilogram in grams?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 6 - (4 + 21) - (-27 + 40).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.06 - -2.06. Let i = g + -2. Let o = 1 - i. Which is the closest to o? (a) 4 (b) -3 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = -2*w - 3*z, -48*w + 80 = -43*w - 8*z for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7362*z - 2409*z - 2400*z - 2576*z + 2*z**3.\nAnswer: 2*z**3 - 23*z","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24896971?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*z - 2*z + z**2 + 0*z)*(-75 - 27 - z**2 + 30) to r*z + u*z**2 + i*z**4 + k*z**3 + v and give r.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4362?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 - ((-5 - -15) + -68)) + -9.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*n - 5*n + 6*n)*(-8 + 8 - 7*n).\nAnswer: 56*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5028305 is divided by 419019.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (((-9)\/18)\/((-1)\/(-2)))\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = i + 2*i + 24, -t = -4*i - 32. Let h be (-3 - 1)*4\/i. Let y be (3\/h)\/(-7 + 1). What is the closest to y in 2, -4, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9350000 to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 + 546\/(-69) - (-148)\/(-1702). What is the closest to -2 in 0.4, 2\/7, 17, f?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 2*k + 20 = 14, -l - 2*k - 6 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of o**6\/216 - o**5\/9 + 10*o**4\/9 - o**3\/6 - 2*o**2. Let w(g) be the first derivative of r(g). Solve w(v) = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.12 (b) -1 (c) 2\/3 (d) -18 (e) -4 (f) 5 (g) -14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b - 4*k + 20 = -4*b, b + 2*k - 9 = 0. Let x be 50\/5 - (6 + b). What is the nearest to -0.1 in -2, -0.04, x?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3 + 4 - 1 - 6*x**3 - 6*x**2 wrt x?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 8927*z + 2026472. Give o(-227).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/14*26\/2*16\/4.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 3 = l - 2*l, -3*z = -15. Is 8 a factor of 3\/l*676\/(-39)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2 - 2*k - 8*k**2 + 2*k - 7*k**3 + 2*k + 0*k. Let d be u(-2). What is the greatest common divisor of 22 and d?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*3\/36 + 23\/(-460)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:53 PM and 7:35 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 divided by -12759.\nAnswer: -5\/4253","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1\/16, 0.29, 9?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*((j\/j**(1\/3))\/j)\/j*j**(-8)*(j\/((j*j*j**(-1\/3))\/j))**17 assuming j is positive.\nAnswer: j**(-8\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (9\/6 + -1)*30. Suppose z = b + 2*b. Suppose b*p + 1 = 2*s, 4 = s + p - 0*p. What is the lowest common multiple of s and 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1532765061?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 + 42\/15*(-6 - -1). Sort 4, a, 5 in ascending order.\nAnswer: a, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3013 (base 5) in base 15?\nAnswer: -1a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 652819?\nAnswer: 29, 22511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.02 + -0.02. Let v = 2 - 6. Let j = 4.7 + -5. What is the nearest to -1\/2 in s, j, v?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6706*j - 2*j**3 - 6706*j + j**3.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*k - 37*k + 2*a - 30 = 0, 3*a = 9 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3429641346 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -h**2 + h**2 + 5*h**2 + 6*h**4 wrt h.\nAnswer: 144*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 4 - 34. Let i be (1500 + 0)*x\/2. Round i to the nearest 1000.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7701 and 323629.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15664609 is divided by 806.\nAnswer: 805","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 698 or 694?\nAnswer: 698","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.415578 rounded to one dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/48 and -79\/1506288.\nAnswer: 1506288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -176395.027 rounded to the nearest one thousand?\nAnswer: -176000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 9.2, -0.11, 5, 11, 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i**3 - 5*i**2 - 7*i - 7. Give y(-3).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 583, 1.8, 5?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 5*u - 76. Suppose -u*i - 24597 + 91457 = 0. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3003*q = 1846*q - 7283*q - 219739 + 574219 for q.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ai when two letters picked without replacement from fbifbijiiifibaifibbb.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f**5 - 10*f**4 + 8*f**3 - 953*f**2 - 4. Let k(t) = 2*t**5 - t**4 + t**2 + 2. Let y(c) = 2*k(c) + v(c). What is the third derivative of y(o) wrt o?\nAnswer: 120*o**2 - 288*o + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 296*p + 1. Give c(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.14, 200, 11, -221?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 5*h + 17, -3*h - 13 = -2*y - 0*h. Suppose y*g + 4 = -w, w = -5*g + 2*g - 9. Solve -w*n + 3*n - 6 = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 2*v = -2 - 3, 2*q - 5 = 3*v. Suppose 2*x - 27 = -5*l + 12, 0 = 3*x - 6. Let k be (4 - 3 - 1)\/(l + -9). What is the biggest value in k, -3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v = v + 10. Calculate the common denominator of 21\/20 and 6\/(-21) - ((-1965)\/140 - v).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -7*w - w. Suppose 4*z = r + 675 - 190, 575 = 5*z + w*r. Calculate the remainder when ((-42)\/(-10))\/(8\/z) is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6212, -6236, -6274, -6326?\n\"Answer: -7*s**2 - 3*s - 6202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 905 or 906?\nAnswer: 906","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, -0.4, 40670, 0.1 in decreasing order.\nAnswer: 40670, 0.1, -2\/11, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/4 and 61\/1044?\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 602606 = 13*q - 2260020. Let a(c) = 84967*c + 4. Let r be a(-6). Let v = q - r. What is v rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-32)\/188*(-372)\/(-16) - -4. What is the smallest value in x, -1, 2\/3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -20*k. Let n(q) be the third derivative of 43*q**4\/4 + 6503*q**2. Determine n(d(w)).\nAnswer: -5160*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1322 + 1313. Let n(w) = -2*w - 19. Give n(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-57)\/(-1653) - 2670\/58.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*p + p**2 + 6*p**2 - p**2 - 4*p**2 wrt p.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**4*t\/t**13)\/(t**(-1)\/t**(-2\/27)) assuming t is positive.\nAnswer: t**(-191\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2126 is divided by 445.\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-9 - -12 - (2 - 1))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - -5. Let q = f + -3. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-7) + (-4)\/14. Suppose 0 = 23*h - 6 - 17. Let k = -13 - -8. Put h, k, u in increasing order.\nAnswer: k, u, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 37 and -17 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.4 and -2308.\nAnswer: -2308.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 64 and 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*k**4 - 336*k**3 - 955*k + 2 wrt k.\nAnswer: -36*k**2 - 2016*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -240, 3 in descending order.\nAnswer: 5, 3, -240","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - -202221012122001?\nAnswer: 202221012122010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1260455328.\nAnswer: 2, 3, 11, 53, 7507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(204) + (sqrt(204) - (sqrt(204) - -4*4*sqrt(204))))\/(sqrt(96)\/sqrt(2)).\nAnswer: -15*sqrt(17)\/2 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 + 10*n**2 - n + 12. Let v be p(10). Let j(w) = 2*w**3 + 3*w**2 - 3*w. What is the tens digit of j(v)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 82\/25 or -3\/14528?\nAnswer: -3\/14528","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2023332101 - -212?\nAnswer: 2023332313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from eeeeleellllleelelell.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 + 1. Let d(a) = -6*a**2 - 45*a - 19. Let k(j) = -j**2 - 7*j - 3. Let u(h) = 2*d(h) - 13*k(h). Determine n(p) + u(p).\nAnswer: 2*p**2 + p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 620.8859nm?\nAnswer: 0.00006208859","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/(h*h**(-1\/3)))*h)\/(h\/h**(-2\/5)))\/(h**(-1))**(-18\/11) assuming h is positive.\nAnswer: h**(-226\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1*1)\/(-13 + 12). What is the tens digit of 1 - 76\/(-2)*t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 337302, 674555, 1011808, 1349061, 1686314, 2023567?\n\"Answer: 337253*r + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of 0*k - 3*k**2 - 1\/12*k**5 + 0 + 2\/9*k**3 - 1\/6*k**4 - 1\/90*k**6. Factor t(v).\nAnswer: -(v + 2)**2*(4*v - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -243 and -1.\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.26 - -0.36. Which is the biggest value? (a) 6 (b) -4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13356 to the nearest 1000.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 59535260 and 870.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8725843 to the power of 1\/2, to the nearest integer?\nAnswer: 2954","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -3, -10, -1866 in ascending order.\nAnswer: -1866, -11, -10, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10\/18 - 2\/3. Let o = 8 - 4. Let t be ((-2)\/(-20))\/((-2)\/o). Which is the biggest value? (a) t (b) 2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 PM and 2:56 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-264)\/(-10) - (-4)\/(-10). Suppose -5*m - 2 = d, -3*d + 3*m + 4 + f = 0. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000019645732 rounded to 7 dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 - 16*a - 6. What is the smallest common multiple of l(-15) and 81?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7809.5 - 7810. What is the smallest value in -5, 0, m?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.0681 + 0.0681. Which is the second smallest value? (a) h (b) -4 (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (99\/6)\/(6\/32). Suppose 0*l = 4*l - z. Suppose l = 2*u - 2*s, 4*u + 2*s - 17 = 39. Solve 5*b - 7 - u = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2 and -673.\nAnswer: -672.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 56 - 63. Let a be 1 - (x\/5 - -2). Factor -1\/5*k**4 + 1\/5 + a*k**3 - 2\/5*k + 0*k**2.\nAnswer: -(k - 1)**3*(k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001092445 rounded to 4 decimal places?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 42 = -17 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in three eighths of a day?\nAnswer: 540","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j**3 + 3*j**3 - j**3)*(-18 - 6 - 4).\nAnswer: 56*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 379*r - 695?\nAnswer: 379","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -211*n**4 - 64*n - 2.\nAnswer: -2532*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -79.4 - -83.4. Which is the third biggest value? (a) -1\/9 (b) v (c) 2\/13 (d) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/26180 and 25\/833?\nAnswer: 183260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**2 - 68*h - 7. Is g(-21) a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u + u + 3*u + 4*u. Let n(p) = -p - 10. Let b be n(-8). Let o(s) = 143*s. Let j(l) = 9*l. Let q(y) = b*o(y) + 33*j(y). What is 8*g(z) - 5*q(z)?\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 - 9*r - 9. Let u be i(-8). Let f be 3*u\/(-27)*2. Let m be (1 + 5)\/((-12)\/8). Which is the nearest to 1? (a) m (b) 2\/13 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 229 divide 21526?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 43978*c - 53546 wrt c?\nAnswer: 43978","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-3))**(-6\/17))**(-42)*(d*d**(-2)*d*d*d\/(d*d*d*d**(-6)*d))**39 assuming d is positive.\nAnswer: d**(1896\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -126? (a) -2\/9 (b) -2.8 (c) 2\/5 (d) -4 (e) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 4*h**3 - 7*h**2 + 2. Let s be (-2)\/((4\/5)\/2). Let g(i) = i**3 - i**2. Calculate s*g(v) + z(v).\nAnswer: -v**3 - 2*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -22246, -87926, -197384, -350614, -547610, -788366, -1072876, -1401134?\n\"Answer: v**3 - 21895*v**2 - 2*v - 350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -3 (c) -502 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2, 159, 594, 1441, 2838, 4923, 7834, 11709?\n\"Answer: 23*s**3 - s**2 + 3*s - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 40 = -775. List the prime factors of q.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 91013 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 10:35 AM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 178 - 178.3. Sort 0.5, 38, m, 0.\nAnswer: m, 0, 0.5, 38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -2\/238949 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 356 + 288 = 0. Suppose 315 = -2*v - v - m, -5*v = -5*m + 545. Let d = i + v. What are the prime factors of d?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*h**3 - 9*h**3 - 4*h**3 + 12*h**3.\nAnswer: -10*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 16609651 - 59.9652?\nAnswer: 16609591.0348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.075 - -123.075. Which is the third smallest value? (a) -8 (b) u (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 39260269067 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 + 4*b**2 - 2*b - 7. Let c be s(-3). Suppose -i = -16*i + 150. Suppose c*h = i*h - 1198. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -184*u = -45*u + 390 + 1000 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(-3) - (-4 - -6). Let z = -26 - -34. Let o be z\/12*d\/(-4). What is the third smallest value in -0.2, 4, o?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 + 5*g**2 - 13*g + 6. Let p be z(-7). Let r = -1.064 - -0.124. Let y = -1.94 - r. Which is the closest to p? (a) 0 (b) y (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the third derivative of -107*k**6\/60 + 209*k**4\/24 - 212*k**2. Find the second derivative of t(g) wrt g.\nAnswer: -1284*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91 is divided by 73.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 141287 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*a + 81*a + 11*i + 9 = 25, -3*a - 13 = -2*i for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide ((-720)\/(-12))\/(5\/(15\/6))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -46*v + 240. Let j be i(5). Solve 0 = j*m + 6*m - 16 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54\/(-4)*1268\/951?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -288 = -3*p + 5*g - 7*g, -3*g = 9. What is the highest common factor of 245 and p?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 997 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 239 (b) -2\/11 (c) -18.26 (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -128*w - 142*w + 270*w - 37702*w**2 + 37717*w**2.\nAnswer: 15*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -100*w - 4. Suppose -4*g + 165 = g. Calculate the remainder when m(-1) is divided by g.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/2*4\/(-3). Suppose 1075 = 18*i + 985. Which is smaller: i or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 969 + -428. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 3*d**2 - 5. Let m(i) be the second derivative of 0*i**3 + 3*i**2 - 2*i + 0 - 1\/3*i**4. What is 6*a(b) + 5*m(b)?\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19167 to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -2506925 < -2506926?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -30948 - -36704. Calculate the remainder when o is divided by 72.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - (-2 - -24)) + 0.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 1755*i + 0 = 1753*i - 2, -2*i = i - 15 for y.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 0. Suppose r*p = -0*p. Suppose -3*i + 22 = 4*b - p*i, -9 = -b + i. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20492?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 4:29 PM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 4*a**2 - 3*a - 2. Let o(i) = -2*i**2 + 2*i + 1. Let r be (-1170)\/(-75) - 15 - (-5)\/(25\/12). Calculate r*p(v) + 5*o(v).\nAnswer: 2*v**2 + v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/3, 0.08, -6\/499, -5, 3\/8, -1 in decreasing order.\nAnswer: 4\/3, 3\/8, 0.08, -6\/499, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 109098, 436721, 982760, 1747215, 2730086, 3931373?\nAnswer: 5351076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6\/5 (b) 1 (c) -3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 31\/6 and -97\/220458.\nAnswer: 220458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.45 - 0.05. Let g = 2\/323 - -955\/2261. Which is the nearest to -2\/5? (a) -4 (b) m (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) + (sqrt(76) - 2*sqrt(76)))*3)\/(-5*sqrt(12)\/sqrt(3) - sqrt(4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/2704 and -61\/23478?\nAnswer: 2441712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -198.017677552 take away -11.3?\nAnswer: -186.717677552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 7*w**3 - 2*w - 1. Let u be h(-1). Calculate the remainder when 208 is divided by (-4)\/(u\/105*5).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g = -311 + 281 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -936? (a) 18.59 (b) -14 (c) -2 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (57\/9)\/((-69)\/(-212589))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z*z\/((z*(z\/(z\/(z**(-1)*z)))\/z)\/z)))\/z*z)\/z*z**(-33)*z assuming z is positive.\nAnswer: z**(-35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2 + 3162*w + 207144.\nAnswer: -2*(w - 1644)*(w + 63)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -537 - -535. Let q(c) = c + 4. Let d(a) = -3*a - 14. Let m(g) = h*d(g) - 7*q(g). Let x(j) = -5*j - 7. Determine m(x(o)).\nAnswer: 5*o + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + -1 + sqrt(272) + sqrt(272) + sqrt(272) - (2*sqrt(272)*-2 - sqrt(272))) + (sqrt(272) + -1 + sqrt(272))*1 + 0)**2.\nAnswer: -240*sqrt(17) + 27209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -205*p**2. Let d(h) = -6*h. Calculate j(d(o)).\nAnswer: -7380*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4a3e6 (base 15) in base 7?\nAnswer: -2005242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -28*r - 49. What is the remainder when h(-3) is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of -l**3\/3 + 8*l**2 - 25. Let i be q(16). Suppose -4*o - 5*x - 15 = i, o - 7 - 5 = 4*x. Solve -g + 5*g - 12 = o for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/(-10) - (-50)\/40.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/7, -5, 14 in increasing order.\nAnswer: -5, -4\/7, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -51013*u**2 - 2016*u - 32. Let p(n) = 306080*n**2 + 12095*n + 195. Let k(s) = 25*c(s) + 4*p(s). Find w, given that k(w) = 0.\nAnswer: -2\/101","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 128 divide 28637?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00030788295 rounded to 5 decimal places?\nAnswer: 0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {g: 4, w: 5, y: 6, f: 4}.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3841 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a litre in millilitres?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of ((-448)\/128)\/(2\/(-364)) and 364.\nAnswer: 2548","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 14 = -4*g. Let h = -4 + g. What is the third derivative of -2*v**h - 13*v**2 - 5*v**6 + v**6 wrt v?\nAnswer: -480*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f**(-2\/31)*f))\/f*f)\/(f*f**0)*(f\/f**7)\/f**(1\/6) assuming f is positive.\nAnswer: f**(-1321\/186)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 280096589.\nAnswer: 487, 1181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13108 - 12912.86. Round s to the nearest ten.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - -4 - (4 - -5).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 222678037 and 116.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 28*x - 110. Determine w(-8).\nAnswer: -334","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d**(-5)*d\/d**(-6))**(-7)\/((d\/(d\/d**(-4)))\/(d**(2\/19)*d))**(-9\/4) assuming d is positive.\nAnswer: d**(-3001\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -620 + 908. Is z a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0*n**6 + 4898 - 4900 + 73*n**2 + 2*n**6 wrt n?\nAnswer: 240*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 572 is divided by 67?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*t - 51*t - 8*t)*(4 - 18 - 5).\nAnswer: 1406*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**3 - 62 + 190 + 140 - 2*o + 2*o.\nAnswer: 2*o**3 + 268","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -9*l - 35. Let f(k) = -k**3 - 7*k**2 - 2*k + 3. Is f(l) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 AM and 4:31 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -9 times 26408645\nAnswer: -237677805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 15, -4*i + 12 = -5*l - 10. Let k be (-18)\/(-4) + l\/(-4). Find s such that -10*s**3 - 7*s - 24*s**4 - 8*s**k - 4*s**2 + 4 + 25*s + 24*s**2 = 0.\nAnswer: -2, -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -83459 - -117576. What are the prime factors of r?\nAnswer: 109, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - -1. Suppose j*k - 47 - 288 = 0. Factor -70*d**4 + 5*d**5 - k*d**4 + 15*d**3 + 20*d**2 + 117*d**4 - 20*d.\nAnswer: 5*d*(d - 2)**2*(d - 1)*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 - 4. Is -37*2\/(-1*u) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*c**2 + 37*c + 78*c - 8*c**2 - 6*c**2 - 115*c.\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2108 + 4261 - 2070 - 5*s**2 + (-2 - s + 2)*(-3*s - 2*s + 4*s))*(-5*s + s + 2*s).\nAnswer: 8*s**3 - 166*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.011 (b) -8.9 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((9\/(567\/28))\/(448\/48))?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -48*c**4 + 0*c**2 - 3*c**2 - 6 + 46*c**4 + (-2*c**3 + 0*c**3 + 4*c**3)*(3 + 2*c - 3).\nAnswer: 2*c**4 - 3*c**2 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -877 + 880. Solve 2*u + 1 = 4*y + 5, 2 = v*u - 4*y for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12998 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14112549 and 11421?\nAnswer: 42337647","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 w when two letters picked without replacement from ccwcccucccc?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - h - 318, -2*h = -3*m + 92 + 96. Calculate the highest common factor of m and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 8:46 PM?\nAnswer: 1:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 1.9. Let n = 182.5 + -179.5. What is the third biggest value in h, n, 0.5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppppmpppppppmm. What is prob of sequence mmp?\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.1256 - 0.0744. Are -27\/20 and o equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = t**3 + t**3 - 3*t**3 + 116*t - 115*t - 15*t**2 + 19. Let f be v(-15). Solve -5*s + 3*z = 12, f = s - 2*z + 12 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 - 10*r - 10. Let p = -19 + 31. What is the smallest common multiple of p and o(-4)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (230 - 480 - 298)*(-5*r**3 + 3*r**3 + 0*r**3) to z*r**3 + w*r**2 + d + m*r and give z.\nAnswer: 1096","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2011200011012 (base 3) to base 8.\nAnswer: -4317441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16364*t**3 - 43669*t**3 + 16885*t**3 + 3*t**2 - 3*t**2.\nAnswer: -10420*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 42 + -32. Suppose p*x = 9*x + 6. Let m(u) = 2 + 2 + 0*u - u**3 + 5*u**2 + 8*u. Determine m(x).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -49356.05549 rounded to the nearest one hundred?\nAnswer: -49400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28 - -39. Let y(f) = f - 3. What is the units digit of y(o)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -4*f**2 + 2*f. Let s(k) = -9*k - 17*k - 3*k - 2*k**2 + 28*k. Let g(v) = 2*s(v) + x(v). Let w(h) = 12*h**2. Calculate g(w(r)).\nAnswer: -1152*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -804 - -814. What is the smallest common multiple of n and 146?\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*p**3 + 47*p**2 - 10*p - 10931?\nAnswer: 9*p**2 + 94*p - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 1 = q + 5, 19 = -5*q + 4*c for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -191*g + 146*g - 765 - 327 = 303 for g.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21\/70*5)\/((-108)\/1152)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36112 = 16*h - 10112. What are the prime factors of h?\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1205\/9 - -134. Let k(x) be the first derivative of 0*x**2 - 4 + 0*x + 0*x**3 + 1\/6*x**4 + w*x**6 - 4\/15*x**5. Factor k(j).\nAnswer: 2*j**3*(j - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12707 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (7 - (4 + -5))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - -121?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 239662\/8525 or 27?\nAnswer: 239662\/8525","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 431016?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -17*q - 21. Does 30 divide y(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-916 - -916) + (0 - (-1 - -31))\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -0.08, -2\/745, -587?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 761*b**2 - 24*b + 56. List the prime factors of c(2).\nAnswer: 2, 7, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 29862?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of b**5\/60 + b**3\/3 - b**2. Let v be o(0). Let n(s) = s**2 - s**2 + 3*s**v. Let y(i) = i. Determine n(y(a)).\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -510*m**5 - 859*m**2.\nAnswer: -30600*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 12*d + 1. Let o(p) = 49*p + 4. Let b(n) = -6*o(n) + 26*s(n). Suppose 0 = y - 5*x + 18, 12 - 4 = 2*x. Is b(y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-16)\/10)\/((-8)\/(-20)). Which is the closest to 0.04? (a) p (b) 0.1 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -26 - (1257 + -1254).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 688, 2751, 6182, 10975, 17124, 24623, 33466?\nAnswer: 43647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 AM and 4:13 PM?\nAnswer: 345","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 + 6 - -10) + -8?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12175847 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-13)\/k**1)\/(k**(-3\/4)\/k*k\/k**(3\/2)) assuming k is positive.\nAnswer: k**(-47\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1)\/v**(-1\/3))**(4\/7) assuming v is positive.\nAnswer: v**(-8\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 60.505309 rounded to zero decimal places?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*(q**(2\/13)*q)\/q*q**(2\/13)*q**(-2\/23)\/((q*q*q**(-8))\/q) assuming q is positive.\nAnswer: q**(2458\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -9, 4, 1 in decreasing order.\nAnswer: 4, 1, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-48)\/18)\/4)\/2.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1cb2 (base 13) to base 8.\nAnswer: 10422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5121 times -0.069?\nAnswer: -0.0353349","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/(6*6\/(-252)). Let t(u) = 2*u**2. Let g(c) = -10*c**3 - 70*c**2. Give l*t(o) + 2*g(o).\nAnswer: -20*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-97)\/(-2))\/((-4)\/8). Let d = h - -108. What is the remainder when 87 is divided by d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -27 - -26.5. What is the closest to -2\/11 in -1, x, 2\/13?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = o + 4*v + 8, -4*o - 3*v - 6 = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssystllsktkxs. What is prob of sequence ltx?\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -148 + 11 + 2 + -6. Is -136 greater than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10265 - -10267. Suppose 0 = c + 3*c - 20. Solve 3*a = -w - 2*w, a + m*w + c = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 37, 161, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 6 - -1) + (-21 - -32)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eepdesedeeedds. What is prob of sequence pse?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 3*o**2 - 4*o**2 + 2*o**2. Let p(f) be the first derivative of -7*f**3\/6 - 8*f - 7. Let t(s) be the first derivative of p(s). Calculate t(r(n)).\nAnswer: -7*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 1, -6, 4\/9, -0.5, -4202?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*b - 2*n, -27*n + 31*n = -2*b + 22. Solve 10*t - 5 = b*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1148.026726 to 0 dps.\nAnswer: -1148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = -2*z - 18, 8*z = 11*z - 4*y + 20 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is c5 + -351?\nAnswer: -26a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 - 1. Let r(b) = 3997*b**2 - 1601*b - 6. Let f(s) = -5*l(s) + r(s). Find the second derivative of f(x) wrt x.\nAnswer: 8004","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 AM and 2:18 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -51 - 2130?\nAnswer: -2211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 5:49 AM?\nAnswer: 7:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -3*i - 4. Let g(f) = -16*f + 9. Let r(t) = g(t) - 3*q(t). What is r(4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 140 times 886?\nAnswer: 124040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + f + 11, 0 = 4*z + 4*f - 14 - 2. What is the second derivative of -1040*l**z + 1061*l**3 - 21*l - 11*l wrt l?\nAnswer: 126*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2*h**2. Let w(o) = 64 - 7*o + 10*o - 5*o + 3. What is g(w(q))?\nAnswer: -8*q**2 + 536*q - 8978","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-24)\/(-84))\/((-2)\/(-28)). Suppose -k - 183 - 5 = -c*w, -5*w = 4*k - 235. Is 18 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of -g**2 - 114. Let o(a) = 4*a + 3. Let u(y) = -9*y - 7. Let b(x) = 14*o(x) + 6*u(x). What is b(r(c))?\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 757770 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 27*h - 1. Let z(k) = 15*k - 1. Let t(v) = -3*l(v) + 5*z(v). Calculate t(2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cvcvsoaoucooo. Give prob of picking 1 a and 1 s.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of -p**7\/21 - 62*p**6\/45 - 101*p**5\/15 - 44*p**4\/3 - 155*p**3\/9 - 34*p**2\/3 + 47*p. Let m(w) = 0. Calculate w.\nAnswer: -17, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54254*x**3 + 664*x - 345*x - 319*x - 90819*x**3.\nAnswer: -145073*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -29160.8 - -29161. What is the third smallest value in 0, -2\/33, -29, o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 95.89413 micrometers in centimeters?\nAnswer: 0.009589413","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-104)\/(-390))\/(1\/5). Which is the closest to -1? (a) -1 (b) 2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.469 times 2\nAnswer: -0.938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 315229475 to the power of 1\/3, to the nearest integer?\nAnswer: 681","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 2*t = 2*s + 8, -12 = -t + 3*s. Put t, -3, -5 in decreasing order.\nAnswer: t, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -37 + 41. Suppose 9*t - 7*t = m. What is the least common multiple of 12 and t?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12 and -341793.\nAnswer: 4101516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (27 - 24)\/(2 - (-15)\/(-9)) - 4. Solve 244*g - 243*g = 4, -m*g = -2*h - 24 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 482?\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 21\/4 of a kilometer?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 9:53 AM?\nAnswer: 12:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + -29594b2?\nAnswer: -29594b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -133*q - 8252. Let h be t(-62). Let c(y) = 13*y - 1. Let w(s) = 7*s. What is h*c(u) + 11*w(u)?\nAnswer: -u + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1806875 and 2450.\nAnswer: 1225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (7\/(-28))\/((-5)\/400*-8). Put r, -1, -0.33, 0.06 in descending order.\nAnswer: 0.06, -0.33, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.17882 rounded to 2 dps?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i**4 - 15\/2*i**3 + 5\/4*i**5 - 10*i**2 + 0 - 15\/4*i = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.092 (b) 121 (c) -2\/15 (d) -1\/5 (e) -0.3 (f) -0.5 (g) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, -2\/13, 4\/3, 2, -4.\nAnswer: -4, -2\/13, 2\/13, 4\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j**(-1\/3)*j))**6*(j*((j\/(j**13\/j)*j)\/j)\/j)\/j**(-1\/2) assuming j is positive.\nAnswer: j**(-17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 6*m**2 + 19 - 23 + m - 5*m. Suppose 0*l + 10 = l. Calculate the remainder when z(-2) is divided by l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1570\/(-475) - (4 - 1638\/399)\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7152 - 256910 = -36*t - 8678. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11011 (base 2) in base 16?\nAnswer: 1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.009 - 0.291. Let h = n - -0.37. Let d = h - -0.03. Does 0.047 = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xpxxpx. What is prob of picking 3 x and 1 p?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ovtk when four letters picked without replacement from ttkkokokthvv.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2*m + 2*y = 209, -2*m + 2*y = -146. What is the remainder when m is divided by 23?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 405 and 90.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 1 d when three letters picked without replacement from {u: 2, d: 4}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 229 is divided by 47?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20 + 34. Suppose 0 = -2*d + 2*q + l, 4*q = -5*d - 10. Let b(c) be the second derivative of -c**5\/10 + c**4\/6 - c**3\/6 - c**2 + 2*c. What is b(d)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-69)\/(-15) - 3\/5. Suppose -5*n - 7*m + 2*m - 15 = 0, 0 = -5*n - 4*m - 17. Sort -2, t, n in ascending order.\nAnswer: n, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -243361 - -203?\nAnswer: -243155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6164 - 3096 + 32*c - 3068.\nAnswer: 32*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/9))**(2\/23)\/((f*f**(-3))\/f*f\/f**(-13)*f*f*f*f) assuming f is positive.\nAnswer: f**(-3109\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 10*h**2 + 44*h - 13. Give l(-5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-500)\/(-8))\/((-1)\/(-44)). Suppose -2*p - 252 = -o. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = -3*n, 1452166*r - 1452161*r - 5*n = -60 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrururpruururrrrr. What is prob of sequence puu?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the second derivative of 2*a**3\/3 + 3*a**2\/2 - 5*a + 62. Let w(o) be the third derivative of o**4\/6 + 2*o**3\/3 + o**2. What is -3*h(q) + 2*w(q)?\nAnswer: -4*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(20\/6)\/10.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of -3*x**5\/20 - 17*x**4\/12 + x**3\/2 + 3*x**2 + 2*x - 125. Determine a(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 380\/7*a**2 - 2\/7*a**3 - 54*a.\nAnswer: -2*a*(a - 189)*(a - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = 32*j - 31*j - 13, 4*j - 2*l + 2 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 70\/(-15) - (-70)\/42. Which is the third biggest value? (a) -1 (b) i (c) -40 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {p: 2, l: 3, y: 1, v: 4, i: 4}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000111 - 101101001000010001001?\nAnswer: -101101001000001000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from hhhshhss.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -297558\nAnswer: 1\/99186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 952596400 to the nearest 1000000.\nAnswer: 953000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b + 84 = 4*b. Suppose 5*p = -3*m + 50, 0 = b*p - 2*p + 25. Let g(f) = -9*f - 4. Let s(h) = 55*h + 25. What is m*g(t) + 4*s(t)?\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -1\/2, 0, -6\/17?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -81854 divided by 5402.\nAnswer: -40927\/2701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 AM and 1:10 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -23, -6, 83, 280, 621?\n\"Answer: 6*h**3 - 25*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6*4\/72)\/(47\/(-2256)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/75 and -13\/2927760?\nAnswer: 14638800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 422778*w**4 - 1325034*w**2 + 2*w - 4?\nAnswer: 10146672*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q**2. Let f(l) = 155763*l**2 + l + 1316. Give f(p(h)).\nAnswer: 623052*h**4 + 2*h**2 + 1316","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -379 - -422. Calculate the remainder when 201 is divided by b.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 47232260*m**6 + 27326975*m**2 - 1?\nAnswer: 5667871200*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 70 + 85 = 0. Suppose x + 4*x = j. Suppose 3*m - 79 = -x. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0058899 to 4 decimal places.\nAnswer: 0.0059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-6\/5)*r)**(-1\/30)*r**(-18)*r**6)**7 assuming r is positive.\nAnswer: r**(-6314\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -25 + 32. Calculate the smallest common multiple of 5 and p.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16101 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 4*p - 30. Determine k(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nszsnzsnsnzsssnzn. What is prob of picking 2 z and 1 s?\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 279 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24629?\nAnswer: 11, 2239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 6193.229 years in centuries?\nAnswer: 61.93229","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -156 - -148. Calculate the lowest common multiple of (2 - (3 - 0)) + 9 and (8\/(-2))\/(2\/f).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2*l + 3*l - 6)*(-57*l + 0*l - 46*l).\nAnswer: -103*l**2 + 206*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-25))\/((-3)\/5).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/(-5)*(-25)\/10. Suppose -5*p + 4*v - 9 = 0, 2*p - 2*v + q = -0*v. Sort 0, -2, p in descending order.\nAnswer: 0, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 498.4549 litres?\nAnswer: 498454.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 49773 = -178438. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3126.\nAnswer: 2, 3, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-5*(-2*sqrt(1664) - sqrt(1664)))\/(sqrt(200) - 3*sqrt(200)*-2).\nAnswer: 72*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 0.1, -0.1, 0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 798373 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*u**2 + 20*u**3 - 109*u**2 + 56*u**2.\nAnswer: 20*u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in six fifths of a tonne?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/23750192 and 91\/8906322.\nAnswer: 71250576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 47554 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 125, 0, 993, -3 in increasing order.\nAnswer: -3, 0, 125, 993","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -25 - (-10 + 35 + -32 + 0 + -1)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of b**7\/420 + b**5\/30 + b**3\/3 - b. Let q(k) be the second derivative of o(k). What is the second derivative of q(l) wrt l?\nAnswer: 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -44 - -46.3. Let p = 0.7 + j. What is the closest to -3\/5 in p, -1\/3, 0.3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 23494697?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -89\/5 smaller than -0.23406?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.03 - 0.02. Let c = -0.25 + g. Let j = 6.5 - 7. What is the second biggest value in 0, c, j?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*p**6 - 28464*p**5 - p**3 - 2*p**2 - 4455*p - 37.\nAnswer: 360*p**3 - 1707840*p**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/2, 2\/3, -0.5, -0.11?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a + 3*l + 6, -4*a + 4*l = -3*a - 3. Let p be (-1 + 3)*8\/(-16). Let t = a - p. Solve -8 = 4*i + t for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 4*l**2 - 2*l - 3. Calculate h(3).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, x: 5}. What is prob of sequence xxxl?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*p = -6*p - 5*q - 25, -4*p = 4*q + 20 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -1847*r + 5549. Let k be c(3). Factor -80\/3*f**2 + 8\/3*f**5 + k*f**3 - 32*f + 0 + 12*f**4.\nAnswer: 4*f*(f + 2)**3*(2*f - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*m + 37*m + 11 = -4*v, -5*m = 5*v + 15 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -310 - -343. Suppose 8*r + x = 19*r. Solve -4*a - 12 = 2*v, r*a - 2*a - 4*v = -12 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5977 = -9328*i + 9467*i for i.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - 4 - -121 - (0 + 10 + -5236 + 5216)?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -10*a**5 + 6*a**3 + 20*a**2 - 81*a + 2. Let i(j) = j**5 - j**3 - 4*j**2 + j. Let g(x) = -5*i(x) - v(x). What is the second derivative of g(h) wrt h?\nAnswer: 100*h**3 - 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 419210 and 220.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 52*i**3 + i**2 + 2*i**4 + 3689 - 216*i**3 - 135*i**3 - 3687 to the form y*i + q*i**2 + t*i**3 + u*i**4 + a and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7534*m - 9183*m + 5958*m)*(4 + 3 - 6)*(-2*m + 0*m + m) to d*m**2 + y*m + g and give d.\nAnswer: -4309","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*(3\/63)\/(-1)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -96 * 15643488.\nAnswer: -1501774848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 - c**2 + 5*c + 4. Suppose 3*s = -5*z - 21, -z + 5 = -2*z - s. What is the units digit of k(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2061569980?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -511186053 - 103*w + 511186053.\nAnswer: -103*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 1. Let k(y) = y - 8. Let w(b) = -k(b) + 3*o(b). Let t be w(5). Let l(g) = -g**2 + 2*g. Let i(f) = -6*f**2 + 11*f. What is t*i(q) - 34*l(q)?\nAnswer: -2*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 12 = 5*x - 342, -3*x = 5*u + 354. Calculate the smallest common multiple of 10 + -14 - (u + 1) and 18.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = 2*c + 11, -3*g - 4*c = -2 + 3 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 262588934, 262588932, 262588930?\n\"Answer: -2*h + 262588936","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 201*b = -204*b + 4, -b = 3*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5195.\nAnswer: 5, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bnnnnnnvvffqnf. What is prob of sequence bv?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 392592249?\nAnswer: 3, 7, 6231623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 divided by 241?\nAnswer: -22\/241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 213*i**4*r**2 + i**3*r**2 + 2*i*r**2 - 727*i wrt i.\nAnswer: 2556*i**2*r**2 + 6*i*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvavvav. What is prob of sequence avav?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 39110 + -22172. What is the units digit of w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1641.4 - -1642.4. What is the second biggest value in -1\/5, 7, u, -477?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70733 a multiple of 244?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 + 6*b**2 - 7. Let y be k(-5). Suppose -y + 53 = -5*x. Let a be (4 + 0)\/(-4) - x. Solve a = -2*w - 2*n + 3*n, -1 = w - n for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 3646 - f**2 - 39*f - 3646 - 27*f. Let c(j) = 4*j**2. Determine n(c(l)).\nAnswer: -16*l**4 - 264*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/1 + -11 + 8. Let y = -6 + d. Let u = 45 + y. What is the highest common factor of u and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31, 13, -29, -107, -233, -419?\nAnswer: -677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a year in months?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10000 (base 2) to base 15.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1290*o**4 - 161900*o**3 - 1110655*o**2\/2 - 474290*o - 1830 = 0 for o.\nAnswer: -122, -2, -3\/2, -1\/258","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 3, -2, 35 in decreasing order.\nAnswer: 35, 16, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 243480 to the nearest 1000.\nAnswer: 243000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101 + -10101011111000?\nAnswer: -10101011110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - 1. Let k = 3 + u. Suppose -13 = -q - 5*b, 2*q + 12*b - 10 = 10*b. Solve k*z = -q*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 15, 3*y = -4*q - 35 - 116. Let x be (-16)\/q + 4\/15. Factor 1\/3*f**2 + x*f + 1\/3.\nAnswer: (f + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*g + 48198 + 88601. What are the prime factors of g?\nAnswer: 17, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -33\/2 + 161\/10. Which is the smallest value? (a) -4 (b) j (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 m when two letters picked without replacement from zmzkkkzkzzz.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -129*v**5 - 3*v**2*w - v*w - v + 38*w wrt v?\nAnswer: -2580*v**3 - 6*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - -6 - (-3 - (0 + -11 - -1)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 + -2. Let c be m - (-4)\/(4 - 5). What is the biggest value in c, 0.1, -0.2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2\/5 - 0. Let o be ((-3)\/3)\/(-1) - 7. Let j(m) = -m**2 - 5*m + 4. Let h be j(o). Put 3\/4, q, h in ascending order.\nAnswer: h, q, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -5, 0, 1894?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*l - l + l)*(28 - 30 - 2*l + 4*l) in the form z + r*l + a*l**2 and give a.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 0 + 6)*(v - v + 2*v) + 366*v + 126 - 126)*(6 - 2 - 3).\nAnswer: 374*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 - 64 = -10*c. Suppose 109 = 5*a + 3*x, 19 = a + 2*x - 0*x. What is the second derivative of -19*i**5 + 13*i + 56*i**c - a*i**5 wrt i?\nAnswer: 280*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*d + 4 + 56. What is the derivative of 0*q - d*q**2 - q + q + 8 wrt q?\nAnswer: -20*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.013 * -181.911.\nAnswer: 2.364843","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 95893*u**2 + 1986*u wrt u?\nAnswer: 191786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6687, 6677, 6631, 6531, 6359, 6097, 5727, 5231?\nAnswer: 4591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 644, -25, -41 in decreasing order.\nAnswer: 644, 2, -25, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 - 6*u + 8. Let z be n(6). Suppose 3*l = z*l - 85. Solve 4*g = -l + 1 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 - 4*y**2 + 7*y + 2. Give k(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 5*b + 68. Let l be q(-18). Calculate the remainder when 306 is divided by 12 - ((-4)\/l - 312\/143).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 10*i = 7*i + 6, -9 = 3*i for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -871*o - 56624. Calculate c(-65).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 1744*l + 10453. What is p(-6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*u**2 - 307 + 305 - 19*u**2 + (5*u + u - 5*u)*(2 - 2 - u) + (-3*u + 3*u + u**2)*(1 - 1 - 1).\nAnswer: -14*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (-1 + 0 - (23 - 13))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**15*a**(-4\/11))\/(a**5*a*a*a**(-2\/43)*a) assuming a is positive.\nAnswer: a**(3161\/473)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 364 is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -520 times -3\nAnswer: 1560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 39622*g - 39751*g + 2838 for g.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, t: 5, q: 3}. What is prob of sequence qqeq?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 924 and 273378.\nAnswer: 6014316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 515009 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aruxooaxoxrafufo. Give prob of picking 1 x, 1 r, 1 u, and 1 f.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 3*o**2 + o - 6. Let b(r) = -48*r**2 - 4*r + 34. Let n(y) = -68*y**2 - 6*y + 49. Let l(s) = -7*b(s) + 5*n(s). Give -5*j(g) - 4*l(g).\nAnswer: g**2 + 3*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12776290*o**3 - 164*o**2 - 38881*o wrt o.\nAnswer: -76657740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 116\/(-22) + 1 - (-51)\/187?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - 0 - (-12 + 19 + -9).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20240 = -692*i + 712*i. Does 16 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = 3*a - 20. Let u = a - 20. Suppose u = 4*c + 4*l - 8, 2*l + 4 = 2*c. Solve -4*t + 4*r + 16 = 0, 0 = -0*t - 3*t + c*r + 16 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 343958147?\nAnswer: 13, 4751, 5569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -3 (b) -13 (c) 0.02 (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 13.2904 to the nearest integer.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrtmkrm. What is prob of picking 1 t, 1 m, and 1 k?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 + -5599179.\nAnswer: -5599178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(891)*1)**2 - (sqrt(11) + 1)**2*6.\nAnswer: -12*sqrt(11) + 819","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + -11b64?\nAnswer: -11b60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 855 is divided by 830.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 5*p - 137. Let d(y) = -6*y + 139. Let a(b) = -4*d(b) - 5*o(b). Let n(x) = 3*x. Calculate a(n(u)).\nAnswer: -3*u + 129","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mdmi when four letters picked without replacement from {u: 3, d: 1, i: 2, m: 4, s: 3, h: 6}?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffo when three letters picked without replacement from oooooofooofoof?\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 133, 137, 145, 157, 173, 193, 217?\n\"Answer: 2*s**2 - 2*s + 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 105?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5696, 5700, 5698, 5684, 5652, 5596?\nAnswer: 5510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1ac + -13?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 3*s**3 - 21*s**2 + 3*s - 8. Suppose -5*k + 4*r + 29 = -2*k, 4*k + 5*r = 18. Calculate the remainder when i(7) is divided by k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -264*w**3*x**3 - 65*w**2*x + w*x**3 wrt w?\nAnswer: -1584*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 10 = -3*x, 5*x - d + 230 - 256 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 13) to base 10.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 378318, 756626, 1134934?\n\"Answer: 378308*y + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 - -1976.9334660897?\nAnswer: 1976.4334660897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 13) to base 10\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 271554 minus 3?\nAnswer: 271551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.17 and 55694033781.\nAnswer: 55694033781.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/2)\/(15330\/252 + -61) - -26?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*j**2 + 117*j**2 + 248*j**2.\nAnswer: 311*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7789.95173 + -7790. What is i rounded to three decimal places?\nAnswer: -0.048","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 55 + -35. Suppose -4*s = -0*s - 24. Suppose -x = -b + s. Is 12 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2)*g*g**(-1\/3)\/g)\/((g*(g\/g**(3\/7)*g)\/g)\/(g*(g**(-5)\/g*g)\/g*g)) assuming g is positive.\nAnswer: g**(-166\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((42\/(-180))\/(-7))\/(4\/16).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -29*-1490477\nAnswer: 43223833","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(95)\/(-5*sqrt(720)) + sqrt(57)\/(sqrt(147)*-6 + sqrt(3)).\nAnswer: -101*sqrt(19)\/2460","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-2\/27)*p**(-1\/7))\/(p**(-1\/3))**26*(p*(p\/p**(-8))\/p*p**2)**(-49) assuming p is positive.\nAnswer: p**(-100274\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - i - 1117 = 0, q - 3*i = 590 - 215. Does 23 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 443524 and 3964.\nAnswer: 439532284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 0. Let f(g) = -3*g - 7. Let o be f(k). What is the greatest common factor of 77 and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that i**5\/5 + 38221*i**4\/5 + 365192097*i**3\/5 - 73061353*i**2 - 730460642*i\/5 = 0.\nAnswer: -19111, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 246*p + 413250 = 265*p. What are the prime factors of p?\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 448 and 20224736?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1597 - 12535*d + 798 + 25073*d - 12538*d - 2*d**3 + 799.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -2. Let y = q + -1. Suppose y = 2*f + 2*f + 12, -144 = -3*r - 5*f. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -431*c**2. Let y(g) = -83*g**2 + 3. What is y(w(k))?\nAnswer: -15418163*k**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j + 5. Let t be m(-2). Let f be t\/(-1 + 4) + 3. Let z be -3 - (-44)\/f - 4. Solve 5*y - 35 = 2*k, -z*k + 6 - 36 = -2*y for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 601353090 rounded to the nearest 100000?\nAnswer: 601400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.6 - 0.4. Let t = -14\/9 + 4\/3. Which is the biggest value? (a) t (b) j (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from iiiiivv?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of b**4\/3 + 438*b**3 - 2636*b**2 - 5840*b. Let f(u) = 0. Calculate u.\nAnswer: -659, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 179 - 134 + 63*q + 178*q. Is i(8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -92, -139, -188, -239, -292?\nAnswer: -347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 4*w**2 - w + 4. Let y be i(3). Suppose -5 = k - y. Does 16 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -255*b + 66 - 73*b - 371*b + 27*b.\nAnswer: -672*b + 66","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4029 = -3*f - 5*i, -5*f = -0*i - 5*i - 6755. List the prime factors of f.\nAnswer: 2, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6697968 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 - 6.7. Let k = -1148 + 1152. Which is the closest to 6? (a) l (b) k (c) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 117, 134, 163, 210, 281, 382, 519?\n\"Answer: l**3 + 10*l + 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1222\/9 - -136. Sort 2, -5, b in descending order.\nAnswer: 2, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*k - 74973 - 570143 = 0. What are the prime factors of k?\nAnswer: 2, 53, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0084198 rounded to 2 decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-1)*(-4)\/68.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2826 - 2889. Suppose 3*y - n = -151, -2*y - 3*n + 37 - 145 = 0. Let r = y - f. Solve 4*o - o = -r for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/7 (b) 2\/161 (c) -13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w + 21. Let g be h(-11). Let j = 16 - g. Solve z = -5*d - 17, 2*z + 4 - j = -d for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -4, -1995, -5\/4, 0.063.\nAnswer: -1995, -4, -5\/4, 0.063, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -8055.56763 rounded to the nearest 10?\nAnswer: -8060","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5832803 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -58. Let d be (-4*(-1)\/5)\/((-7)\/(-1575)). Let u = d - 102. What is the greatest common divisor of w and u?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -51.192 + 0.192. Let h = -62 - z. Which is the smallest value? (a) 0 (b) h (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes before 10:26 PM?\nAnswer: 8:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 41995?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 2 - 3 + (-2 + 0 + 0)*(0 + 4 - 3) + 0 - 2 + 3)*(903*n**2 + 31*n**3 - 903*n**2).\nAnswer: -62*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -2*r - 207. Let i(n) = -10620 + 15*n + 10620. Determine t(i(h)).\nAnswer: -30*h - 207","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 + (0 - 10\/5). Suppose 3*o - 7 = -x*o + 3*g, 0 = -o + 2*g. Find the third derivative of 6*c**2 + 3*c**4 - 10*c**4 + 4*c**o wrt c.\nAnswer: -168*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*a = -88 + 77 + 111. Calculate the highest common divisor of 186 and a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or 17\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 13*b = 134128. Let k = b - 11905. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, -63, 43, -4, -2, 0 in decreasing order.\nAnswer: 43, 0, -2, -4, -30, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 37, 50, 63, 76, 89?\n\"Answer: 13*q + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89 = -3*s - 86 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do -32544 and -260345\/8 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 10*q - 5. Is 24 a factor of w(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -72\/8471 - -16773516\/110123. Which is greater: 153 or q?\nAnswer: 153","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/2, -3, 3, -3034?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 606154.\nAnswer: 2, 199, 1523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - -13) + 2 - 4 - -4?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -41756, -83513, -125270, -167027?\n\"Answer: -41757*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 0 + (14\/(-7) - -18) is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l + m + 47 = l, -702*l = -699*l - 4*m - 146 for l.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -50*f + 598702*f**2 - 5 + 12*f + 17*f + 19*f. Let y be w(3). Let b = y + -8128307. Round b to the nearest one hundred thousand.\nAnswer: -2700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - 2)\/(3\/75*15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -268, -1032, -2270, -3982?\n\"Answer: -237*z**2 - 53*z + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 8478338 (base 9) to base 11\nAnswer: 2620876","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 537656.6 weeks in microseconds?\nAnswer: 325174711680000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -w**2 - w + 276. Let m be p(0). Let g be (-2)\/(-3) + m\/(-9). Let d be (-3 - -5)\/((-1)\/g). What is the highest common divisor of d and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**2 - 205684*b - 1645344 = 0.\nAnswer: -102834, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, y: 2, h: 1, k: 1, m: 1, t: 2}. Give prob of picking 2 y, 1 h, and 1 m.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 3*b**3 + 2*b**2 + 2. Let l(h) = -16*h**3 - 11*h**2 - 11. Let j = -1991 - -1980. Give j*w(f) - 2*l(f).\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.7703241 to three dps.\nAnswer: -1.77","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (38\/8)\/(-19)*1*-8.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 26332?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of -2*v**6 + v**5\/5 - 5*v**4\/2 - 205*v**3 + 448. What is the third derivative of b(k) wrt k?\nAnswer: -720*k**2 + 24*k - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -3*a - 5. Let d be g(-2). Let i(q) = 52*q**2 + q. List the prime factors of i(d).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 137468?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-1798)\/4)\/((-5)\/200). Let c = s + -28580. Round c to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -147, -5, -2\/7, 3\/2 in ascending order.\nAnswer: -147, -5, -2\/7, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -26 + -2440?\nAnswer: -2466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/188714296 and 81\/140.\nAnswer: 6605000360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 g when three letters picked without replacement from {p: 3, s: 2, c: 3, k: 1, g: 1}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 169 a factor of 6523?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 98.68086 centuries to years.\nAnswer: 9868.086","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0663 rounded to two decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppdpddppppppppdppppp. Give prob of picking 3 p and 1 d.\nAnswer: 448\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 3*b. Let u(s) = -340*s**2 + 3*s + 24. Let o(n) = -385220*n**2 + 3400*n + 27200. Let x(h) = -3*o(h) + 3400*u(h). What is x(d(a))?\nAnswer: -3060*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2574531\/119 - (-4)\/14 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 139480022?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1962, -3930, -5898, -7866?\n\"Answer: -1968*f + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 1968\/58 + -23*2\/(-667).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 + 20*y**2 - 19*y + 47. Let z be f(-21). Solve -5*o - z + 0 = 0 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647004 divided by 323502?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 358 is divided by 210?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -110*(-8)\/60*51. Let y = f + -10389\/14. What is the common denominator of -29\/10 and y?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*(3 + 1) - 0. Let p(t) = -9*t + m*t + t - 3 + 3*t. Calculate p(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 4*d = -3*h - 21, d = 3. List the prime factors of -3 + 3090\/42 + h\/(-7).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 21*i**2 - 3. Let v(z) = 2*z**2 + 1. Let n(d) = s(d) + 3*v(d). Let w(c) = -5*c**2. Calculate n(w(l)).\nAnswer: 675*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -16423168, -16423174, -16423180?\n\"Answer: -6*t - 16423162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -14*f - 124. What is the lowest common multiple of u(-10) and 20?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2\/395 - 5921\/790. Let f = -9 - a. What is the nearest to -0.1 in -1\/3, 3, f?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/7*v**2 - 8\/7 - 6\/7*v = 0. Calculate v.\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (15\/(-18))\/(2\/(-12)). Suppose r*g - 1280 = g. What is g rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 183348?\nAnswer: 2, 3, 11, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m**3 - 2940*m**2 + 1083388*m - 3223736. Let b(o) = 24*o**3 - 35281*o**2 + 13000663*o - 38684833. Let n(s) = 2*b(s) - 25*z(s). Factor n(r).\nAnswer: -2*(r - 733)**2*(r - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 430856 is divided by 147.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3393\/128 - 1272057\/48256. Find the common denominator of -41\/117 and a.\nAnswer: 6786","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**5 - 12*q**4 - 432*q**3 - 2112*q**2 - 3072*q.\nAnswer: 3*q*(q - 16)*(q + 4)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116 = 18*c - 28 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -3610 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 - 61*a**2 - 71*a - 655. Determine m(-60).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-3))\/5*(5 - -10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 4*v**2 + 10*v + 79. Is w(-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 - 3*w - 2. Let p be r(4). Suppose -3*l + p*l - 4 = 0, -3*b + 5*l + 128 = 0. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 + 21*k + 65. Let b be y(-17). Let l(d) = -1. Let v(m) = m + 7. Let p(r) = 6*l(r) + v(r). Determine p(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2\/19 (b) 107 (c) 1\/5 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.8 + 1.2. Which is the nearest to 0? (a) 2\/11 (b) 3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 10 = y + 2*y, -4 = 4*d. Let x = y + 7. Put -3, 5, x in ascending order.\nAnswer: -3, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -92*m - 72. Give q(-4).\nAnswer: 296","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(-20))\/(540\/(-200))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/q**2*q*q*q*q\/((q*q*((q**6*q)\/q)\/q*q)\/q*q)*q*q*q*q**(4\/5)\/(q*q\/(q\/(q\/(q*q*(q**(-8)\/q)\/q))*q)) assuming q is positive.\nAnswer: q**(-51\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -2 - 5 - 18*o + o**3 + 1 + 17*o**2. Let m be w(-18). Let c = m + 46. What is the greatest common divisor of 5 and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-127)\/44 + (-5230)\/(-4184).\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(-78)*(-56832)\/(-2560) - -5*(-16)\/20.\nAnswer: -1\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from twlewvt. Give prob of sequence vltw.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -3*w - 4. What is o(4)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l and 1 f when four letters picked without replacement from {f: 2, e: 6, l: 11}.\nAnswer: 55\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -6*y - 6. Let k be m(-5). Let v = k - 17. Let g(t) = 0*t**2 - 4*t**2 + 3*t**2 + v*t - 4. Give g(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15473530073 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of v**5 + v**4 + 7842*v**3 - 2727*v wrt v.\nAnswer: 20*v**3 + 12*v**2 + 47052*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 21 = -3*f - 3*i, -2*f + 5*i - 14 = 0. Let x(o) = -5*o - 4. Let k(q) = 4*q + 3. Determine f*k(m) + 2*x(m).\nAnswer: 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 1, -51, -3, 2\/5, 2, 5 in decreasing order.\nAnswer: 11, 5, 2, 1, 2\/5, -3, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 72647888779 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*y**4 + 239*y**3 - 2*y - 237*y**3 + 2 + 4 as u*y + z*y**2 + a*y**3 + t + m*y**4 and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -6804 + 161*c + 6803 + 5*c**2 - 163*c + (c**2 + 3*c**2 - 2*c**2)*(-1 + 3 - 4) as h*c + n + o*c**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42468 + s - 127410 + 42469 + 42473.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*o + 47*o + 4*o - 3 + 7 - 2*o - 2 + 2*o - 3*o + 3*o + (1 + 3 - 2)*(0 + o + 0) as j + p*o and give p.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144819?\nAnswer: 3, 16091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 68 and 85.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 + 31 = h. Let m = h - 18. Let j be m\/2 + 2 + 0. Solve -4*f + j = -3*l - 5*f, 0 = -2*l + 2*f - 4 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -21087*h**5 - 34358*h**2 + 2*h.\nAnswer: -1265220*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from uduauuuttuaaauuu.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - 105229?\nAnswer: -105232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 103\/15 - 20\/3. Find h, given that 1\/5*h + t*h**2 + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*z**3 + 6*z**3 - 13*z**3 - 2*z**3.\nAnswer: -23*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**3 + 3*r**2 + 8*r - 10. Let c be x(4). Let u(t) = 3*t**3 - 5*t**2 - 11*t - 11. What is the tens digit of u(c)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*v**3 + 32\/7*v + 0 - 16\/7*v**2.\nAnswer: 2*v*(v - 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 + -18 - (-193604)\/(-24186) - 33?\nAnswer: -2\/417","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-4) - 13\/52?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 222.12 or 1.66?\nAnswer: 222.12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 779197152 a multiple of 248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 17*w**3 + 50*w**2 + 11*w + 88. Give d(-5).\nAnswer: -842","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + l = -4*l. Let h(x) = -2*x. Let m be h(l). Suppose -4*g - 73 + 81 = m. Solve -2 = 3*p + g*f, 0 = 3*p - f - 7 + 24 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -142 + 142. What is the closest to -2\/7 in -4\/3, 2, -0.02, d?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 490 and 257838?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 + 2*g**2 + 2*g. Let y(u) = -4*u**3 + 6*u**2 + 7*u. Let a = 297 + -299. Calculate a*y(n) + 7*v(n).\nAnswer: n**3 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 31\/(155\/25)*((-6)\/5 - -2). Solve c*g - u - 8 = -0, -2*u = -5*g + 10 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1475228?\nAnswer: 2, 31, 11897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33648 and 2436.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 350198 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*x**2 - x**2 - 2 - 2*x**2 + (-2*x + 2 - 2)*(136*x - 85*x - 148*x).\nAnswer: 196*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -234*w**2 + 19*w - 12. Let r be u(4). What is r rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 6*i - 3*i + 5, 2*i + 10 = 2*u. Suppose 14*w + u*b = 18*w - 7188, w - 1803 = -b. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -303452?\nAnswer: -1\/303452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*f**4 + 385*f**3 + 5215*f**2 - 5605*f = 0. What is f?\nAnswer: -59, -19, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*p + 3*p - 5*p)*(-5 + 2 - 1)*(1 + 2 - 2)*(-1 - 4*p + 1) in the form r + y*p + o*p**2 and give o.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 (base 9) in base 3?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 - -8. Calculate the remainder when w is divided by ((-10)\/(-35))\/(1\/7).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1440 and 256?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 378618668\/603665 - -4\/120733. Factor -36\/5*i**2 - s + 672\/5*i.\nAnswer: -4*(3*i - 28)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 2, -5, -2, 33, 1, 14 in descending order.\nAnswer: 33, 14, 11, 2, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/7 bigger than -2.84?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o - 525 = -11*o. List the prime factors of o.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + 3 - 3 + 2*f - 2*f - f - 3*f + 4*f - 3*f - 4*f + 3*f - f + (f - 2*f + 2*f)*(2 - 1 - 3) - f + f - 3*f)*(1694*f + 319*f**2 - 1694*f).\nAnswer: -3509*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1367347261 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1972891*u**5 - 35*u**4 + 92692205*u.\nAnswer: 39457820*u**3 - 420*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1298 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 8 (c) 0.3 (d) 6241\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -5968, -23963, -54124, -96589, -151496, -218983, -299188?\n\"Answer: -23*f**3 - 5945*f**2 + f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 62341902 to the power of 1\/3, to the nearest integer?\nAnswer: 397","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 585*o + 54980. What is p(-94)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-31)\/(-63) + 4*2\/36. Let u = h - 46\/35. What is the second smallest value in -2\/11, u, -1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 240 - 248. Is 6\/24 + (-1198)\/x a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 - 6*p**2 - 73*p + 21. What is h(12)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3122544229 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 7 - 19, 4*d = 5*s - 8. Suppose -4*a - 38 = -5*z, -3*z + s*z + a = 4. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the first derivative of n**4\/4 + 4*n**3\/3 + n**2 + 5*n - 3. What is b(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0015791847 to 6 dps.\nAnswer: 0.001579","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5aa + 505?\nAnswer: ab0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -4. Let g = -2 + h. Let s(a) = -g - 1 - 1. Let x(i) = -i - 1. What is s(k) - 2*x(k)?\nAnswer: 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t + 3. Let k(i) = i - 2. Let y(b) = -2*f(b) - 3*k(b). Let c(a) = a - 9. Let j be c(4). Let r be y(j). Solve 12 = -r*g + 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-10)\/(-3))\/5*3. Suppose -z*b + 68 = -28. Suppose 2*f = 3*u - 39, 3*u + u - 4*f = b. Does 15 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 7 = -6. Let z be 124\/3 + 4\/6. Let d = z + -18. Calculate the remainder when d is divided by x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(672)\/sqrt(588))\/(6*sqrt(512)))**2.\nAnswer: 1\/1008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 14, l: 2, z: 1}. Give prob of sequence nl.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.61 and -2918?\nAnswer: -1779.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6 (b) -12 (c) -9\/1025\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 k when two letters picked without replacement from {k: 2, f: 2}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 244329 and 4886580?\nAnswer: 4886580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r + 8. Let g be d(-8). Let t(i) = i**2 + 3*i + 2. Let x(n) = n**2 + 4*n. Let v(s) = -5*t(s) + 6*x(s). What is v(g)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r**3 + 623*r + 621*r - 1244*r.\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b - b + b)*(2*b**4 - b**4 + 0*b**4) - 4*b**5 + 0*b**5 + 2*b**5.\nAnswer: -4*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/(o*o*o**11)*o\/(o*o**(2\/33)))\/(o**(-5)\/o)**(5\/12) assuming o is positive.\nAnswer: o**(-565\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 2*m = 4, l - 3*m + 8 = m. Let r(q) = q - 2*q**3 + 2*q**2 + l*q**3 - q. What is the units digit of r(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*4*(4 + (2*(-1 + sqrt(720)) - (1 + -5 + (sqrt(5) - (sqrt(5) + 0)) + sqrt(5))))*-4)**2.\nAnswer: 1766400*sqrt(5) + 17158400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, b: 10}. What is prob of sequence qb?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(2\/(-61))*-1. Let k = -71 - t. Let c be ((-8)\/(-10))\/(-3 + (-146)\/k). Sort 1\/8, -2, c in ascending order.\nAnswer: -2, c, 1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:54 PM and 6:19 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of v**6\/24 + 7*v**5\/12 + 25*v**4\/8 + 15*v**3\/2 + 8*v**2. Determine p, given that t(p) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 8, 6, -22, -94, -228, -442, -754?\n\"Answer: -3*v**3 + 5*v**2 + 4*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the third derivative of w**7\/2520 - w**6\/90 - w**5\/40 - w**4\/6 + 2*w**2. Let f(d) be the second derivative of m(d). Is f(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.08 * 127759.\nAnswer: 10220.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 4*p = 55, 4*w + 59*p + 68*p - 188 = 187*p - 71*p for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 AM and 11:11 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -73.09344 to one decimal place.\nAnswer: -73.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w + 12. Let i be a(7). Let x(f) = -f**3 + 5*f**2 + 7*f - 7. Let g(s) = -s**3 + 7*s**2 + 10*s - 10. What is i*g(h) - 7*x(h)?\nAnswer: 2*h**3 + h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 108*g**2 + g + 1. Let t(n) = n**2 - 6*n. Let x be t(5). Let y = x + 4. Let h be r(y). What is the highest common factor of 18 and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*m**2 + m - m + m**2 + 2*m**2 - 5*m**2 + (-2*m + 3*m + 5*m)*(m - 1 + 1).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -57361 (base 10) to base 13\nAnswer: -20155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jxxxjxjjxjjj. Give prob of sequence jj.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jazzajzzzzzjjagjmjz. What is prob of picking 2 z?\nAnswer: 28\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of -i**4\/24 - i**3\/2 - 27*i**2. Give f(7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 171 is divided by 45.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 259784 to the power of 1\/2, to the nearest integer?\nAnswer: 510","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -18 + 21. Suppose i*u = o + 3, -2*o - 4*u = -5*o - 4. Solve f - 1 + o = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 232302 - 1222300112?\nAnswer: -1222001210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -3*b**3 - 3*b + 2*b + 0*b. Let o(g) = g**3 - 4*g**2 - 1. Let f(j) = j**2 + 7*j - 14. Let w be f(-9). Let c be o(w). Determine q(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*s - 19*s = 11. Find the common denominator of -3\/62 and s\/(-4)*87\/(-36)*-3.\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 + 8*t**2 + 3*t + 35. Let z be w(-8). Let p(u) = u**3 - 4*u**2 - 8*u - 22. Is p(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d - 32. Let l be p(16). Let j be -1 + 1 - (-1)\/3. Is j bigger than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.26 - 2.26. Let a(q) = -2*q**2 + 3*q + 4. Let f be a(3). What is the smallest value in f, -0.1, t?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of -w**4\/24 - 5*w**3\/6 + 7*w**2 - w. Give k(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 times -1930.5005\nAnswer: -25096.5065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of -12*b**2 + 38*b - 8. Let h(q) = -q**2 - 72*q + 113. Let n(f) = -2*h(f) + 7*t(f). Factor n(s).\nAnswer: 2*(s - 10)*(s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u - 5*o + 285, -19*u + 14*u + 3*o + 347 = 0. What is the greatest common divisor of u and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 531017229 to the power of 1\/4, to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.5 times 0.5?\nAnswer: -12.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-9)\/(-42))\/3)\/(492\/1722).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 3*l - 5, 4*p - 4*l - 15 = l. Is p > 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*k**3 - k + 0*k**3 + 2*k**3 + 3*k - 2*k**4 in the form q*k**3 + d + c*k**4 + b*k**2 + u*k and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -37*y**2 - 1701*y + 47. Calculate d(-46).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 110 and 165.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2054850 divided by 1030\nAnswer: 1995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000362902 rounded to 6 dps?\nAnswer: 0.000363","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*a - a + 286 = 0. Let n(j) = 630*j + 60. Let x be n(a). What is x rounded to the nearest 100?\nAnswer: -8100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 - 10 = -5*i - 4*k, -k + 4 = -4*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -120 - -119.9864. Let o = j - 0.0073. Round o to two decimal places.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-5) - (646\/(-80) - 828\/(-92)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*w**2 + 814 - 814.\nAnswer: -34*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3538 + 3566. What is the remainder when o is divided by 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-323)\/(-1938)*42\/5.\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52 = 166*f - 384 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + (-4 + -6 - -2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 3*x**2 + 43*x + 1840. Is 7 a factor of l(-37)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 9*h**2 - 4*h + 2 + 12*h**2 - 2*h - 20*h**2. Suppose 0*l = 3*l - 15. Calculate c(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 18*r**2 - 19*r + 3. Let v(d) = -5*d**2 + 6*d - 2. Let w(l) = -2*k(l) - 7*v(l). What is w(10)?\nAnswer: -132","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = -2*x + 3*l, -l + 212 = -21*x - 1 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12207, 24413, 36619?\nAnswer: 48825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -6*v - 6. Let o(u) = u + 1. Let f(d) = -2*i(d) - 14*o(d). Let k be f(-3). Let w = k - 6. Sort 4, 3, w in decreasing order.\nAnswer: 4, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*c - 4*p = 221*c - 110*c - 20, 0 = 4*c - 5*p + 34 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*(-9)\/(-1404))\/(25\/42000*20)?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 3.92. Let c = j + -0.58. Let w = 1 + -1.2. Sort w, 1, c in ascending order.\nAnswer: c, w, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.27 less than or equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 7002081 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, d: 3}. Give prob of picking 2 a.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 438190637770.1 less than 0.1?\nAnswer: -438190637770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 21 (b) -1 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -37, -70, -105, -142?\nAnswer: -181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 - 13*c**2 + 30*c. Give a(-15).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 5) in base 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1140)\/(-38)*(-9)\/(-30). Calculate the highest common factor of 1569 and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 3*l + 18 - 51, 2*l - 18 = -4*b. What is the remainder when 127 is divided by l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5.209 + 0.209. Let q(n) = 4*n. Let x be q(-1). Let y = -3.35 - -2.95. Which is the third smallest value? (a) x (b) y (c) 4 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/6 and ((-3483)\/462 - 0) + 2\/11?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 69\/21 + 4\/14*-1. Suppose -4*d + 3136000 = a*d. Round d to the nearest 10000.\nAnswer: 450000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/303 in -4, -3, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 5 + 9 = -4*r, 4*r = 2*b - 4 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, w: 3, u: 6, n: 1, f: 4, x: 1}. Give prob of picking 2 f.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 52754*-2\nAnswer: -105508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1224 - -1221. Sort 1\/4, 7, l in descending order.\nAnswer: 7, 1\/4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1232, -1509, -1762, -1991, -2196, -2377, -2534?\n\"Answer: 12*a**2 - 313*a - 931","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1060716648 divided by -6978399.\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 153205 to the power of 1\/3, to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/15 in 12\/13, -16.75, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 81 in -12\/13, 2\/3, -132, -2\/11, -3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1188.396277 plus 3.19?\nAnswer: -1185.206277","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 5, -1\/3, -15?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1820 + 1821. Let v = -32\/155 - 6\/31. Which is the nearest to f? (a) v (b) -0.1 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1214073244.\nAnswer: 2, 303518311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 8*u + 210. Let s(j) = 7*j + 180. Let o(w) = 6*k(w) - 7*s(w). Let q(r) = -59*r**2 + 3*r. Determine q(o(i)).\nAnswer: -59*i**2 - 3*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 3*(165\/450)\/11\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 + 8*u**2 + 15*u + 10. Calculate the lowest common multiple of d(-5) and 20\/((-2 + 1)\/(-1)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 296.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 228 from -0.09.\nAnswer: -228.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of 0 + 0*f**3 + 0*f - 2*f**2 - 1\/24*f**4. Let v(c) = 4*c. Give l(v(x)).\nAnswer: -4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (0 - -8 - ((1 - 2) + -1))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are -1079 and -1441 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-63)\/(-15)*(1 - -4). What is the highest common divisor of v and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d**2 - 3*d + 3*d)*(7 - 7 - 7*d)*(-28 - 7*d + 28 + (0 - 5 + 4)*(1 + d - 1) - 2 + 2 + 2*d).\nAnswer: -168*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6155 + 771*m - 3737*m**3 - 6159 - 6138*m**3 wrt m.\nAnswer: -59250*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 133 = -418. Let a = -323 + r. What are the prime factors of a?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/4, 15548, 0.9?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -23351, -2\/7 in ascending order.\nAnswer: -23351, -2\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 53914367?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2*y - 2. Let r be q(4). Let g be 1*(r\/2 + 3). Let d be (-32)\/(-36) + g\/9. What is the closest to d in 4, 2, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = 4*h + 24, 0 = -h - 7*c + 10*c - 2 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 6*q**3 - q**2 - 1656*q + 3306. Calculate r(2).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/2 or 35441?\nAnswer: 35441","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i**2. Suppose j = f + 11, 3*f + 17 = 2. Let v(t) = -2*t - 6. Let l(u) = -2*u - 5. Let n(s) = j*l(s) - 5*v(s). Calculate x(n(k)).\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -477*z**2 + 230*z**2 + 245*z**2. Let v(f) = 225*f**2. Determine v(i(l)).\nAnswer: 900*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 5 - 6 + 2139*s + 0 - 2.\nAnswer: 2139*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1 - -1 - (0 + 34). Let q = 34 + b. Suppose 30 = 3*x + 5*n, 4*x - 16 = -x + 3*n. Solve l + q + x = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15079 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j + 24. Let s be u(12). Find the second derivative of 0*y**4 + y**4 - s*y**4 - 20*y - 4*y wrt y.\nAnswer: -132*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 60, -5, 6, -45, -4 in ascending order.\nAnswer: -45, -5, -4, 6, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6131 - -6138.103. Let k = 7.24 - g. What is k rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 231*q**2 - 6*q - 5. What is the remainder when m(-4) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 9 = 2*x - 27, x + 45*a - 13 = 23*a + 21*a for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqqqqzzqzzz. What is prob of sequence qzz?\nAnswer: 40\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 39633600 and 2067840?\nAnswer: 237801600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 606113 (base 10) to base 5.\nAnswer: 123343423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 529471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = -154 + 129 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 9*y + 56. Suppose 5 = -3*j + 65. Let n = y + j. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 331 - 6?\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6370942?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -16479, -66422, -149825, -266688?\n\"Answer: -16730*v**2 + 247*v + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 2\/3 (c) -0.2 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 3*g**2 - 5*g**2 - 4*g + 0 - 2 = 0. What is g?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-27)\/9 - (-12 - -4). Solve -3*f = 3*p + 3, 0 = x*f - 9*f + 4*p - 36 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2\/15 of a century?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -3*j. Let d(k) = -3*k. Let c(r) = -2*d(r) + 3*z(r). Let a(u) = 0 + 3*u - u + 0. Give c(a(s)).\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85) - (sqrt(85) - (sqrt(85) - (1*sqrt(85) + sqrt(85)))))*-2)\/sqrt(5) + (sqrt(119)\/(sqrt(343)*-2 - sqrt(343)))**2.\nAnswer: 17\/441 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 9*k**2 - k + 1. Let r be l(1). Suppose 0 = -r*z + 13*z. Find the second derivative of 0*w**5 - w + z*w + 5*w + 9*w**5 wrt w.\nAnswer: 180*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -481*b + 3*z = -482*b - 50, 19*b - 2*z + 6 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 1 - 3)*(-b + b - 2*b) + 2*b + b - b - b + 1 - 1)*(3*b - 3*b - 2*b**4).\nAnswer: -10*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -0*f - 5*k - 23, 43 = 5*f + 2*k. Let i be 96\/f*(-6)\/(-4). Let d(m) = -3*m + 16 - i. Let j(z) = -3*z**2. What is j(d(p))?\nAnswer: -27*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -94192 - 0.0518\nAnswer: -94192.0518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/20 and 38\/64625.\nAnswer: 258500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 44369.7523 to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5409701*v = 5409696*v - 240 for v.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 43625 and 100.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 + 1c81640?\nAnswer: 1c8163b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -1212*q**2. Let v(b) = -47 + 108 - 54 - 7 + b. Calculate v(o(s)).\nAnswer: -1212*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c**3\/c)\/(c*c\/(((c*(c**(2\/5)*c)\/c*c*c)\/c)\/c)*c))\/(c*c\/(c*c\/c**(-1\/7)*c)*c**4))\/((c*c**(2\/5))\/(c**4\/c)*c**(27\/2)) assuming c is positive.\nAnswer: c**(-187\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 - 7*b + 2. Let g be q(0). What is the third derivative of 3*j**6 - 5*j**6 - 14*j**2 - 11*j**2 - 12*j**g wrt j?\nAnswer: -240*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (60\/(-21))\/((-2152)\/37660)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1413, -2828, -4245, -5664, -7085?\n\"Answer: -t**2 - 1412*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -121 + 313431?\nAnswer: 313310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 3*j**2 + 223*j + 1709. Let v be l(-66). Solve -v*o + 160 = -39*o for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 6*n**2\/11 + 15327780*n\/11 + 9789201655350\/11 = 0.\nAnswer: -1277315","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18.86 - 1409.86. Let w = -1376.49 - m. What is w rounded to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-48)*2\/(-4)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 + 27*c - 26. Is r(16) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(132) - (sqrt(132) - 2*sqrt(132))) + sqrt(132))\/sqrt(11))\/sqrt(4).\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 2*o + 11, -4*i + 8 + 16 = -2*o. Let h be (-9)\/2*(i + 5). What is the units digit of -4 + 14\/2 - h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 + g + 4. Let a be k(0). Suppose -f + 0 + 109 = -4*i, 46 = -i + a*f. Let m = i + 31. Calculate the highest common divisor of m and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -q. Let a be (3 - (1 - -1))*5. Let n(c) = a*c - 6*c - 4*c. Calculate i(n(r)).\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -122111101 (base 3) in base 7?\nAnswer: -52120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 855973?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {v: 1, o: 5, c: 4, i: 1, u: 1}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3401?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of -d**4\/24 - 7*d**3\/6 + 7*d**2. Let f = 1 + 0. Let g be f - (0 - 2) - 3. What is b(g)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -537 - -582. Find the second derivative of 148*h**5 - t*h**2 + 28*h**2 + 95 + 17*h**2 - 2*h wrt h.\nAnswer: 2960*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 10 = 2*q, 0 = 219*q - 216*q - 2*j - 15. Solve 5*c - 45*w - q = -44*w, w - 13 = -4*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 + 15. Which is the smallest value? (a) -2\/13 (b) d (c) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 + 21)\/(-3) - -2. What are the prime factors of (16 - b\/(-3)) + -3?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26 and 195?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the second derivative of 11*c**4\/12 + 7*c**2\/2 - 3*c. Let v(j) = 6*j**2 + 4. Let a(q) = 7*v(q) - 4*x(q). Let f(i) = 2*i. Give a(f(m)).\nAnswer: -8*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 + 6*u**2 - 7*u + 31. What is w(-6)?\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 3*w**3 + 29*w**2 + 16*w - 39. Let v(a) = 2*a**3 + 15*a**2 + 8*a - 19. Let p(o) = 3*m(o) - 5*v(o). Is p(9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 3. Let q = 1.485 + 0.385. Let r = q + 0.13. Which is the nearest to 1? (a) 5 (b) r (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122663 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a = -4*j - 8, j - 6*j = a + 29 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**3 - 4*t**2 - 4*t - 5. Let g be m(5). Suppose -2*j = 5*d - 4, -4*j + g = -3*d + 18. Let o(r) = 9*r - 2. List the prime factors of o(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the third derivative of o**7\/420 + o**6\/360 - o**5\/120 + o**4\/12 - 3*o**3 + 5*o**2. Let k(c) be the first derivative of m(c). Determine k(2).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = 2*k - 2, -7 + 23 = -5*t + 3*k for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 2)*(3*r**2 + r**3 - 3*r**2 + (1 - 2*r - 1)*(-5*r**2 - r**2 + 4*r**2) + (-2*r + r + 3*r)*(-130*r**2 - 15*r**2 - 101*r**2)).\nAnswer: -974*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3054268 - 204992 = 13*q - 241*q. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*i - a - 2, -3*i = -2660*a + 2656*a - 8 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 + 18*q**2 + q - 16. Let a be o(18). Suppose 4*l + 4*i = 28, -a*i + 7 + 1 = 0. Differentiate 4*x**l + 0*x**3 - 2 - 7 wrt x.\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(4\/5)*u*u\/u**(-1\/38))**(-43) assuming u is positive.\nAnswer: u**(-31261\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 319 - 163. Let v be -1 + ((-4)\/3)\/(-2)*m. Let w = -132 + v. Is 2 bigger than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + -1330?\nAnswer: -2001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*q = 25*q - 330350. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 393733 and 1334?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 182, 708, 1584, 2810, 4386?\n\"Answer: 175*u**2 + u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*((-4)\/8 + 0\/(-2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5.6 + -5. Let r = 0.3 - d. Suppose 0*g + 3*g = 0. Which is the closest to g? (a) -2 (b) r (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9.88 - -10.18. Let c be 2 + (-60)\/27 + 0. Put 4, c, x in descending order.\nAnswer: 4, x, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five eighths of a microsecond in nanoseconds?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -3.96. Let x = -0.2085 + 0.17. Let o = d - x. Round o to 3 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7\/((-7)\/(-2)) + -6. Let u = 5 + -8. What is the nearest to -1 in 5, u, x?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*g + 2*g**2 - 256 - 75*g - 65*g - 57*g + 255 as t*g**2 + z*g + y and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of -3*n**4\/4 + n**3\/3 + 23. What is o(2)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0007808 rounded to four decimal places?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 2.2236043456\nAnswer: 1.2236043456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21955, 43075, 64207, 85351, 106507, 127675, 148855?\nAnswer: 170047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -22, -13, 22, 95, 218, 403, 662?\n\"Answer: 2*t**3 + t**2 - 8*t - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1 - -6.9. Let n = -365 - -365.2. What is the closest to n in 5, 0.5, u?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/24*-9 + 7\/6. Which is the second smallest value? (a) h (b) 0.14 (c) 1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from phhsdyo. What is prob of sequence ph?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 32218136?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a centimeter in micrometers?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -164112.8797 rounded to the nearest one thousand?\nAnswer: -164000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 2*c**3 + 461*c**2 - 231*c - 3. Determine o(-231).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 - 4*q**2 + q + 4. Let s be h(-4). Let t be (-2)\/(s - 1\/10). Suppose -t = -4*n - 0*n. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*o - 6 = -10*o - 3*n, o - 5*n - 2 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 53, 0, -5, 44 in ascending order.\nAnswer: -5, 0, 44, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f - 2. Suppose 2*g = -3*i + 12, 4*i = 4*g - 0*i - 24. Let d be 1*(g - -2*1). Suppose -p = -5*o - 2, 4*p + o - d = 5*o. Determine v(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k + 0*k + k**2)*(-2 + 2 + 2*k) - 36*k + 36*k + 1 + 15*k**3.\nAnswer: 17*k**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 467*t - 464*t - 9 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -180*u**3 + 5*u + 11. Let f(a) = 38*a**3 - a - 2. Calculate -11*f(k) - 2*p(k).\nAnswer: -58*k**3 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 c, and 2 q when four letters picked without replacement from cqqbbcnccccqccnbb.\nAnswer: 24\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4687, 4686, 4685, 4684, 4683?\n\"Answer: -j + 4688","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.224, 0.3, 0 in decreasing order.\nAnswer: 0.3, 0.224, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7872*j**6*u + 3054*j**4*u**3 - 2*j**2*u**2 + 2*j**2*u + j**2 + 2408*j*u**2 + u**3 + 248*u wrt j?\nAnswer: 944640*j**3*u + 73296*j*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 f, and 1 w when three letters picked without replacement from {l: 2, n: 1, z: 1, w: 2, f: 1}.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 11\/(-12) + -6 + (-125)\/(-20). What is the closest to h in -4, -1\/7, 6?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 68\/46531 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -60d + 0?\nAnswer: -60d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2*d - 17. Calculate f(-14).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1952578 (base 11) to base 8.\nAnswer: 14450451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of b**7\/5040 + b**5\/30 - b**2. Let k(n) be the third derivative of m(n). Let y = -29 + 34. Calculate k(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.008542 to 3 decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -13 (b) 48 (c) 5 (d) -4 (e) 1\/2 (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*d + 91*d - 17*d - d**3 - 3*d**3.\nAnswer: -4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -3*v - 5*v - 56 - 1424*v**2 + 2*v + 711*v**2 + 715*v**2 = 0?\nAnswer: -4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of -k**3\/6 - 6*k + 24. Let v(x) be the first derivative of d(x). Let i(z) = 25*z. Calculate i(v(s)).\nAnswer: -25*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 61095 and 255.\nAnswer: 1038615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of f**7\/195 + f**6\/390 - 7*f**2\/2 + 9. Let g(w) be the second derivative of d(w). Factor g(h).\nAnswer: 2*h**3*(7*h + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 + -5. Let d = 5 + o. What is the third derivative of 3*w**2 - 3*w**2 - w**2 - 2*w**d wrt w?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 1. Let n(y) = 4*y. Let r be n(b). Let s(z) = -r + 4*z + 6 - 5*z. Give s(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:34 PM and 11:24 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76)*2 + sqrt(76))*3 + (sqrt(76) - -2*sqrt(76)*-3))\/(1*sqrt(256)*-1).\nAnswer: -sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 215 - 115. Let t = x + -102. Let f = -2 + 1.9. Which is the closest to f? (a) 4 (b) t (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/w**(-1\/13))\/w*w*w)\/w*w**(1\/10)*(w\/(w\/(w*w*w**(-31))))\/w**7)**(-13\/3) assuming w is positive.\nAnswer: w**(1509\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 16.8, -1, 0, -3, 6\/59, 0.0154 in ascending order.\nAnswer: -3, -1, 0, 0.0154, 6\/59, 16.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 + 5*w**2 - w + 1. Let i be k(2). Let d = 15 - i. Solve -g + d = g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 351540 divided by 1674\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = 3*b - 7 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -6, 0, -5 in decreasing order.\nAnswer: 0, -2, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*t + 205 - 365 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of -x**6\/120 - x**5\/20 + x**4\/4 + 5*x**3\/6 - x**2. Suppose 4*i + 3*i = 0. Suppose -56*p + 60*p + 16 = i. Give g(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9105 = 4*h + 5*f, 2*h - f + 4560 = -5*f. Let o = 4680 + h. Round o to the nearest one hundred.\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -357212 and -2.\nAnswer: 714424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 10 = -j. Let m be 132\/j + (-2)\/8. Let p = -4 + m. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20\/180*-207 + 31\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1414 and 63?\nAnswer: 12726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 56 - 1a6a?\nAnswer: -1a14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.42 (b) 2\/9 (c) -6.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -67 - -100. Let c be 11\/m - (-10)\/6. Solve -3*h = c*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + 38 = 7*q, -6918*b - 6922*b + 18 = 5*q - 13839*b for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 28296 and 5?\nAnswer: 141480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -230.4 - -202. Let a = 29 + p. Let k = 0.6 - a. What is the nearest to -2\/3 in -0.2, k, 3\/4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.1 and 330513 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/2)\/((-12)\/9)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 93 + -649\/7. Let u = -1154 - -4617\/4. Let k = -10\/11 + 5\/66. What is the nearest to p in -5, u, k?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 4*w = -t, 4*w - 9 = 52*t - 53*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i\/i**6))\/i)\/(i**6\/i)*i*i**(2\/9)*i**(1\/7)*(i*i**(-6)*i*i)\/((i*i**(2\/11))\/i)*i**(2\/11)\/i**(1\/3) assuming i is positive.\nAnswer: i**(-187\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1198*s - 601*s - 598*s + 3*u - 61, 120 = 2*s + 5*u for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3523*b**2 - 32*b**3 + 12*b**3 + 3527*b**2 - 7050*b**2 - 5*b**3.\nAnswer: -25*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/5 (b) -0.064 (c) 335 (d) 271\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 32732763*o**3 + 8850543*o wrt o?\nAnswer: 196396578*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -267.5 - -267.7. What is the closest to 2\/3 in -3, q, 0.4, -0.1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one fifth of a milligram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8*f + 10*f - 2*g - 42, 0 = 2*f - 14*g - 66 for f.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 400\/(-160) + 17\/2. List the prime factors of (m\/5)\/((-1)\/(-930)).\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 3 + -3*(sqrt(8))**2*2 + 4*-6*-2*sqrt(50).\nAnswer: -43 + 240*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -102, -103, -104, -105, -106, -107?\n\"Answer: -c - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + 0. Suppose 2*g = -2*b + h, 13 = -b - 5*g - 2. What is the third derivative of -x**b + x**5 + 0*x**5 + 4*x**6 + 5*x**2 wrt x?\nAnswer: 480*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 3*u. Let j(n) be the first derivative of n**2 + 14. Determine p(j(d)).\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 188694?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iff when three letters picked without replacement from iiff.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.9269 - -1.014. Round i to three dps.\nAnswer: 0.087","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -319 + 5?\nAnswer: -314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xhxrffprfrrhxpfjh. Give prob of picking 1 h and 1 j.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.01? (a) 0 (b) 0.4 (c) -0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2319*c + c**2 - 1161*c - 1158*c. Let v(y) = -31*y**2. What is m(v(k))?\nAnswer: 961*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8755*u**2 + 4339*u**2 + 4412*u**2.\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/13))**(-7) assuming y is positive.\nAnswer: y**(-14\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 - (5 - -2 - -3). Let a = r + 36. Calculate the remainder when 76 is divided by a.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 732394 is divided by 742.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 22.\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1030483 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -339d5b - -167?\nAnswer: -339bd4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -24 + 18. Suppose -a*u + u = -50. Let x be (6\/5)\/(u\/25). Solve 7*c - x*p = 2*c - 15, 5*c = 4*p - 20 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (-4 - -4 - 1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((3*sqrt(343)*-2 + -5 - (0 + (-1*sqrt(343) + 1 - sqrt(343)))) + 2)**2.\nAnswer: 224*sqrt(7) + 5506","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47700\/(-6625)*5\/2 + 401\/22.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 5*z - 5, -4*r + 4 = -r + 4*z. Solve x + 5 = -r for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, -176, -469, -908, -1499, -2248, -3161, -4244?\nAnswer: -5503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 56504?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(495)\/(sqrt(9) - (sqrt(9) + sqrt(9)*3)))\/(sqrt(5) + sqrt(245)*-5) + 3)**2 + -1.\nAnswer: sqrt(11)\/17 + 83243\/10404","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1120 (base 9) to base 11.\nAnswer: -693","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -14 + 2 + (-177000)\/(-4720)\nAnswer: 51\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 536, 888, 1240?\nAnswer: 1592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 21004 and -0.1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10203221131 (base 4) to base 14.\nAnswer: -2314bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-3 + ((-2 + 6*sqrt(891))*4 + 0)**2) + 4.\nAnswer: -10368*sqrt(11) + 1539835","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w**2 + 41*w + 25. Let l be k(-20). Let o be 77\/14 + -9 + (l - 2). Let v be (0 - 1\/(-4)) + -1. What is the closest to -1 in o, v, -5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2006, -7932, -17756, -31478, -49098?\nAnswer: -70616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/2 + (-7452)\/(-72). What is the highest common factor of q and 60?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -415 * -0.2516\nAnswer: 104.414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p + 15 = 5*p. Suppose 2*w = -p*w + 120. Let i be 2\/6 + 72\/27. Calculate the highest common divisor of i and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -504 + 5546\/11. Sort g, 3, -4, -14.\nAnswer: -14, -4, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -1 + (-1*(sqrt(300) - sqrt(300)*1)*5)\/(sqrt(600) - 4*(sqrt(600) + sqrt(600) + sqrt(600)*-2 - sqrt(600))).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1237 less than -0.57253?\nAnswer: -1237.57253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 2*k + 5*o - 90, 0 = -5*k - 2*o + 180. Calculate the remainder when 58 is divided by k.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s. Let o(f) = -19*f**2 - 3. Let m(v) = 8*v + 32. Let t be m(-6). Let x(p) = -94*p**2 - 16. Let g(r) = t*o(r) + 3*x(r). What is g(h(u))?\nAnswer: 22*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 49820?\nAnswer: 2, 5, 47, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 243*l**5 - 9*l**4 - 588*l**2 - 9. Let c(s) = -122*s**5 + 5*s**4 + 294*s**2 + 5. Let g(x) = 9*c(x) + 5*j(x). Find the third derivative of g(d) wrt d.\nAnswer: 7020*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-10))\/((-18)\/45)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g - 1. Let c(h) = h - 3. Let l(j) = -2*c(j) + 5*z(j). Let b be l(-1). What is the tens digit of (188\/(-6))\/(b\/3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 42591?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22582 and 36302.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8a2b - -3?\nAnswer: -8a28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*w + 35*w + 28*w - 93*w.\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 AM and 2:38 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2205 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22772249.\nAnswer: 677, 33637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -158666*i**3 + 391187*i**3 + 503714*i**3.\nAnswer: 736235*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the third derivative of -u**8\/100800 - u**7\/8400 - u**6\/1800 + u**5\/60 - 2*u**2. Let p(b) be the third derivative of m(b). Let p(j) = 0. What is j?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from crrrrocpyryyryryryr. What is prob of sequence rpr?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 6*n + 3*d = 37, -n - 4*d = -21. List the prime factors of ((-2)\/4)\/(n\/(-110)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 + -10 + 62 + -60?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12 - (-1)\/((-6)\/(-41856)).\nAnswer: 2, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-43316)\/7007 - (-1 + 13)\/(-2)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.27125 to 1 dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5\/3, 22.27, 0, 0.01, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/(-24)*6)\/((24\/7)\/6).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/4 - 18\/8. Let h be -17 - -21 - 1*-6. Let m be ((-5)\/g + -2)*h. Solve m*q = -15, -5*o + 5*q = -11 - 19 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than 3614\/266701?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*v - 47 + 68 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 3046?\nAnswer: 30460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/((8\/(-6))\/((-1016)\/12)). Calculate the greatest common factor of r and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -1432*l + 104559. What is f(73)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate ((23\/7)\/((-39)\/39))\/(17\/(-119)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10154716*a*u - a + 530461 wrt u.\nAnswer: -10154716*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**4\/5 - 3656*z**3\/5 - 2920*z**2 - 14592*z\/5.\nAnswer: -2*z*(z + 2)**2*(z + 1824)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -9*f - 29. Let t be z(-3). Does 40 divide (578\/3)\/(t\/(-6))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -461? (a) 1\/6 (b) 1381 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 52 and 31523544.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6 - (7 - 8 - (-2 - -3)). Suppose b = 2*f, -151044 = -2*g - 3*f + 308968. Round g to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -3*d - 4. Suppose 37 = m + 4*h + 4, -d*h + 96 = 2*m. What is the third derivative of 3*l**5 - 53*l**3 - 4*l**2 + m*l**3 wrt l?\nAnswer: 180*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -22*h + 4. Let t be q(-3). Let i = t + -66. Sort -2, i, -6 in increasing order.\nAnswer: -6, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1466*w + 20292.\nAnswer: 1466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(6*(2 + 5 + 6*3*(sqrt(567) + (6*(-1 + sqrt(567)) - sqrt(567) - sqrt(567)) + sqrt(567))))**2.\nAnswer: -1430716824 + 42410304*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -11, -6, -7, -14, -27, -46, -71?\n\"Answer: -3*z**2 + 14*z - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -189 = 2*b + 2*j + 139, 4*b + 5*j = -658. Let r = b - -175. Solve 2 = -2*p - 3*h + 5*h, p + 2*h + r = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - 0)\/(12\/(-9)). Let j = 0.131 - 90.131. Let g = -89 - j. Which is the nearest to g? (a) u (b) 2\/37 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 19324819, 38649638, 57974457, 77299276?\n\"Answer: 19324819*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -189*b + 2. Let u be r(-4). Let z = u + -505. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 4 - 5, -4*y + 328 = 4*m. Suppose 0 = 5*k - 15, -2*k = -3*n - k + m. Suppose -4*h + 26 + 34 = 0. What is the remainder when n is divided by h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of -d**5\/20 - 7*d**4\/12 - 7*d**3\/6 + d**2\/2 + d. Let j be u(-5). Let a = j - -23. Is 8 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + -3 + 2 - -2. Calculate the common denominator of a + ((-19)\/(-3) - -2) and 61\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.01 - -4.99. Let q(f) = 803*f + 4017. Let w be q(-5). Let p be 1*((-21)\/(-18) - 2). Which is the smallest value? (a) z (b) 2\/11 (c) w (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 0*(-1 + 0)\/2. Let t = -865 - -869. Solve -t*o + 2*x = -7*o - 7, g = 4*o + 4*x + 16 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 36, 124, 212, 300, 388?\n\"Answer: 88*q - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*y = -4*y + 4*y. Suppose -2*p + 3*n + 23 = 0, -2*n + 6*n - 4 = y. Is 13 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 81859869?\nAnswer: 3, 7, 13, 33317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -1279.5.\nAnswer: -127.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 10*p + 13*p = -4, 0 = -3*u - 2*p + 3 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 24 = 3*a, -3*a + 8809 - 8821 = -3*f for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 6) to base 14\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 585, 4460, 14975, 35448, 69197?\n\"Answer: 553*a**3 + 2*a**2 - 2*a + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/3 + 590*z\/3 - 40424\/3.\nAnswer: (z - 62)*(z + 652)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o**2 + 73*o + 336. Calculate a(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -16 (b) -35\/4 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)\/sqrt(2) + sqrt(27) + -4 - (-6*(0 + sqrt(3)) + -4))**2.\nAnswer: 507","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 13210*o - 10713. Determine q(1).\nAnswer: 2497","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 322 and 68885?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of a**4\/4 - a**2\/2 - a + 2. Let t be s(-1). Put t, -5, 0.4 in descending order.\nAnswer: 0.4, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 - 7. Let w(s) = -2*s**2 - s - 1. Let u(j) = 7*j**2 + 2*j + 6. Let m(l) = -u(l) - 4*w(l). Give m(c).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -48.973 + -0.027. Let o(r) = -1002*r - 11026. Let n be o(-11). Which is the nearest to -2? (a) n (b) -1 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44, -17, 24, 85, 172, 291?\nAnswer: 448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 16540.\nAnswer: 66160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 281 at least 282?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-18)\/(g\/g**(1\/21)))\/(g\/g**(6\/7)*(g\/(g*g**(-21)*g))\/g))**(-6) assuming g is positive.\nAnswer: g**(1600\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 9345 to the power of 1\/2, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -11 less than 1227?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16801 - -16758. What is the closest to z in 3\/7, 3\/2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.5, -158\/29, 0.05, -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 9 - 15. Suppose 3*x - 15 = 0, 92 = i - f*x + 18. Is 7 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 5 + 2)*(-20*q**3 - 8*q**3 + 12*q**3) + (-q**2 + 0*q**2 + 5*q**2)*(q - 16 + 16) as h*q**3 + d*q + n + w*q**2 and give h.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 8*q + 2*q**2 - 8*q + q**2 - 2*q**2. Let l(w) = 1. Let g(v) = -2*v + 12. Let t(a) = -g(a) + 12*l(a). What is k(t(b))?\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 4 - 8. Suppose 0*h = 5*h + 15. Let u be -4 - h - (1 + -2). Put u, -5, v in increasing order.\nAnswer: -5, u, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(30)\/sqrt(2))\/sqrt(5) + sqrt(300)*1)*-5 - (3 + -5*sqrt(147)*-2))**2*1.\nAnswer: 750*sqrt(3) + 46884","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(320)*1 - (-3 + (sqrt(320) - (sqrt(320) + sqrt(320)*-2 - sqrt(320) - sqrt(320))) + sqrt(320)))**2 - (-4*sqrt(880))\/(sqrt(11)*1*6)) + -4.\nAnswer: 152*sqrt(5)\/3 + 325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is 6176183.1 rounded to the nearest 10000?\nAnswer: 6180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 217644922 and 154.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 25917.088744 + -25917. Let b = g + 0.211237. Let f = b + -0.3. Round f to five decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -199 - -290. Let q = w - 130.5. Let s = 39 + q. What is the biggest value in 0.5, 1\/7, -3\/5, s?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4024)\/18*(-3)\/16. Let n = q + -229\/6. Let m = 15641 - 375307\/24. Find the common denominator of n and m.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.15577463 to four decimal places.\nAnswer: -0.1558","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 67 - 65. Suppose -2*n + 390 = 4*p, -93 = -p - 0*p - k*n. Is 11 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 7*d**3 + 115*d**2 + 416*d - 16. Give q(-11).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 5, 0, -7\/5, -0.4, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 723, 1484, 2283, 3126, 4019, 4968, 5979, 7058?\n\"Answer: g**3 + 13*g**2 + 715*g - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + x + 27 = -165, x = -3*b + 112. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 793139 or 793151?\nAnswer: 793139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(1\/2))**(-21)\/(v*v**(-4\/7)*v**5\/v))**(9\/10))**(-17\/3) assuming v is positive.\nAnswer: v**(10659\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sqqsqmsslsqlllq. Give prob of picking 2 s.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 2, r: 1, k: 10, h: 5, s: 2}. Give prob of sequence rh.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**3\/10 - 62*m**2\/5 + 2149*m\/10 + 8787\/5.\nAnswer: (m - 101)*(m - 29)*(m + 6)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4396.84 + 4310. What is j rounded to the nearest integer?\nAnswer: -87","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 586 = -2*v, 0*c = -v - 3*c - 299. Let y = v + 285. Sort y, 0, 28, 3 in descending order.\nAnswer: 28, 3, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45764269 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 1061 to the nearest ten.\nAnswer: 1060","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -8.9. Let o = -21 + 24.9. Let c = o + -4. Sort c, -3, r in decreasing order.\nAnswer: r, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1507 or 1509?\nAnswer: 1507","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 172 + -168. Suppose 3 = -2*u + 13. What is the least common multiple of u and d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4+0.0050900248\nAnswer: 4.0050900248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 14167 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*o**3*t**3 - 6*o**3*t**2*z + o**3*t**2 - 351*o**2*t**3*z - 37*t*z wrt t.\nAnswer: 12*o**3 - 2106*o**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + -12. Let q = v + 1. Let f be 4\/((-8)\/(-14)) + q. Solve -3*j = c - 8, 0 + 8 = f*j for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -3*p**2 - 2016*p - 226941 = 0?\nAnswer: -529, -143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 63037508 to the nearest integer?\nAnswer: 7940","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -200, -401, -604, -809, -1016?\nAnswer: -1225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114855 is divided by 55?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*y - 6*y - 16 = 0. Suppose 4*r - 3*b + b = 12, 2*b = -y. Let a be -4 - (54\/(-21) + -1). Is r <= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 22\/(-3) - -8 - 1778\/12. Let s = -369 - -220. Which is bigger: w or s?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 195 bigger than -58.7063?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5830 is divided by 945?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -10.2, -2, -6, -4, -20 in descending order.\nAnswer: -2, -4, -6, -10.2, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 37*q**2 + 50*q**2 - 81 - 80*q**2 wrt q.\nAnswer: 14*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**3\/2 - 9*s**2 - 36*s + 96.\nAnswer: 3*(s - 8)*(s - 2)*(s + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 AM and 7:28 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3976)\/40 + -9)*(-65)\/(-169) - (-4)\/(-13)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -40*f - 107. Let r be o(-21). Suppose 947 = 10*m - r. Does 21 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 7*c - 36. Let b(v) = v**3 - 7*v**2 - 19*v + 9. Let l be b(c). Solve l = p + 3*a + 8, 0 = 5*a + 13 + 7 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 - 188 = -3*i. Suppose 4*o = -s + 43, -3*s + 3*o = -0*o - i. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2355614 - -5?\nAnswer: -2355608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -37.5 - -38. Let p(v) = -v**2 + 19*v + 43. Let t be p(21). Let r = 7 + -7.5. Which is the nearest to o? (a) r (b) 2\/7 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a centimeter in micrometers?\nAnswer: 35000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2152 by 2.\nAnswer: -1076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(68)*-6)\/(sqrt(180)\/sqrt(5)).\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/2 (b) -0.1 (c) -5.64 (d) -45\/4 (e) -2 (f) -0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 2*m - 11. Let w be 1\/(4\/m) + -65902. What is w rounded to the nearest 10000?\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.26*-66.765.\nAnswer: -17.3589","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -72623*g + 17. Let d be b(-2). Is d\/17 - (-22)\/187 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ndgiidqnl. What is prob of picking 2 d?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 5*r**2. Let s be x(1). Suppose 3*m = s*g + 5, 4*g + 17 = 5*m - 0. Differentiate 3 + 5*c**2 - g + 3 with respect to c.\nAnswer: 10*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 571 + -575. What is the nearest to 3 in 0.1, 0.2, -1\/23, n?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 16 + 22*r - 33*r.\nAnswer: -11*r + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -2.071, 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 178 divide 8544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((8 + 16 - 1)*(0 - 4 + 3) + 4 - 2 + 0)*(-4*l**2 + 4*l**2 + l**2) - 10*l + 2*l**2 - l**2 + 3*l**2 to b + r*l**2 + j*l and give r.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -81, 51, -2041 in descending order.\nAnswer: 51, -1, -81, -2041","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 1404?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 2*l + 69 = 2*y, 0 = -2*y - 6. Suppose 3*q - 29 - 25 = 0. Let p = q - l. Let j(c) = 2*c + 1. Let u(f) = -3*f - 1. Give p*u(a) + 4*j(a).\nAnswer: -a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 870*f**3 + 2628*f**3 - 20*f**2 + 14*f**2 + 6*f**2 - 2 as y*f**3 + h*f**2 + m*f + n and give y.\nAnswer: 3498","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 128 = -0*k + 4*b, -4*k = 2*b - 134. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of h**4\/12 - h**3\/3 + 20*h**2 - 120*h. Is u(-25) a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 179.0606 millennia?\nAnswer: 2148727.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 9, v: 2}. What is prob of picking 2 v and 2 z?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -906326?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) + (4*-2*sqrt(88) + sqrt(88) - sqrt(88)))\/(sqrt(24)\/(sqrt(3)*2) + sqrt(8)).\nAnswer: -14*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.055 (b) 8 (c) 1.9 (d) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u + 3. Suppose -2*l = -2*r - 5 - 13, -30 = 2*r - 5*l. Let a be 390\/50 + (-1)\/r. Calculate i(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*a - 12 = 48 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 110*q - 249. What is z(4)?\nAnswer: 191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 329423 is divided by 21961.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(363) + (sqrt(363) - sqrt(363)*2) - sqrt(363) - (1*sqrt(363)*4 + sqrt(363)) - (2 + sqrt(363)*3*1))**2*-2.\nAnswer: -58806","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zuilllzuulluluulifu. What is prob of picking 2 i and 2 u?\nAnswer: 7\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -653870 + 10?\nAnswer: -653860","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4801627243?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.5109 times 0.05?\nAnswer: -0.075545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 209c0 (base 13) in base 15?\nAnswer: 1264e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = -h + 43, -44934*h + 44935*h = 2*p + 85 for p.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.003 - -0.003. Let f = -10 - -7. What is the nearest to h in f, 5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 2*k - 34 = 0. What are the prime factors of k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r**2 - 3 + 3 + (3 + 1 - 2)*(-4*r**2 - 2*r + 2*r) - 2*r**2 + 0 + 0.\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_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: Determine p so that -p**4\/6 + 37*p**3\/3 - 431*p**2\/2 - 1406*p\/3 - 722\/3 = 0.\nAnswer: -1, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 0.092, 15, -0.2, 2\/13?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -15*n**3 - 14*n**3 - 24*n**3 - 16*n**2 - 204 + 51*n**3 wrt n.\nAnswer: -6*n**2 - 32*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 PM and 9:52 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18311966?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 7 + 5)*(q + 0 + 0 + (3*q - q + 0*q)*(-1 + 1 + 2))*(q - 4*q + 5*q).\nAnswer: 100*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8872902 to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*i - 58 = 102 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1 - 2)\/(1\/(-4)). Let n(j) = -l*j + 5*j**2 + 2*j - 2 + 6*j - 7*j. Let p(g) = -1. Let m(u) = n(u) - 2*p(u). Find the second derivative of m(w) wrt w.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 337? (a) 4 (b) 1\/2 (c) -13\/6 (d) -125\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 10 = -y + 2*h, -4*y - 20 = -4*h for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -12487.36 to the nearest 1000.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + m - 12. Suppose -3*x - m*c - 12 = 0, 2*c = 5*x - 4 - 2. Let u = x - -1. Let s(d) = -d + 1. Calculate s(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1966 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 27 in -75, -77, 1, -2\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6959 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 5*q**2 - 12. Let m(t) = 4*t**2 - 12. Let z(o) = -7*m(o) + 6*y(o). Differentiate z(x) wrt x.\nAnswer: 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 180 = -48*g. Solve 0 = 2*k, 2 = 5*j - g*j + 3*k for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 540555 (base 7) to base 15.\nAnswer: 1cc69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 > -372.7508?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9)\/6*(-80)\/15. Let d = s - 1. What are the prime factors of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((3*(sqrt(80) - sqrt(20)) - sqrt(60)\/sqrt(3)*-5) + (4*(sqrt(80) - sqrt(80)*-1))\/sqrt(4))*-2 + 3)**2 + 2.\nAnswer: -384*sqrt(5) + 20491","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3e4b2 (base 16) to base 5\nAnswer: 31131104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 25*x + 38*x + 55*x + 58*x + 7*x + (4 - 1 - 2)*(-2*x - x - 3*x).\nAnswer: 177*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jig when three letters picked without replacement from {x: 1, i: 2, j: 1, g: 4}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 14 + 80. Let l = -78935113 - -78935207.000037. Let b = l - c. Round b to five decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 3*n = -37, -9 = 3*m - 4*m - n. Suppose t = -4*f + 10, -2*f - 4 = -m. Find y, given that 4\/5*y - 2\/5*y**t - 2\/5 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 v, and 2 y when four letters picked without replacement from {v: 4, y: 3, u: 3, j: 1}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.2 (b) 538 (c) -1 (d) -86\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0003548 rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t - 4. Let p(z) = -z + 2. Let a(b) = -3*n(b) - 7*p(b). What is a(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 + 3. Let p be (3\/(-1) - -5) + 17. Let i = 18 - p. Let s = i - -2. Let x(v) = 1. What is s*r(d) - 3*x(d)?\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 - 3 + 4)*(-c**4 + 3*c**4 - c**4) to d + t*c**4 + k*c + b*c**2 + r*c**3 and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 23*d + 17*d - 45*d)*(d + 24*d**2 - 832 + 832) to u*d**3 + k + a*d + i*d**2 and give u.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -18bc1 - c?\nAnswer: -18c00","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of 37932.2 and -1.035.\nAnswer: 37931.165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 7*w - 2. Let f(i) = 28*i - 24. Let v(j) = -f(j) + 5*r(j). Suppose -35 - 30 = -5*y. What is the units digit of v(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1271\/410 + (-2)\/20.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -388*i*k**2 - i*k - 161*i + 13*k**2 + 3*k - 609 wrt i.\nAnswer: -388*k**2 - k - 161","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, d: 1, v: 3, b: 1, z: 3, p: 2}. What is prob of sequence bp?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4060805 or 20304032\/5?\nAnswer: 20304032\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1577 by -2.\nAnswer: -1577\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2174\/(-7609)*28\/(-29).\nAnswer: 8\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-152)\/20)\/(4\/(-20)). Suppose 5*u + 13 = w. Suppose 0 = -u*a + 15. Solve 4*p + 2 = -3*o + a, 5*p = -o - 7 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.18 - 19.18. Let n = h - -18.91. Sort -1\/8, n, 0 in decreasing order.\nAnswer: 0, n, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-2 + -4*(sqrt(405) - (-1 + 3*sqrt(405))))*4 + -2)**2.\nAnswer: -830792 + 29952*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 1 + 2 - 2 - 2 + 6 - 1 + 1 + 3 + (3 - 2 - 3)*(1 + 2 - 1) - 13 - 6 + 11 - 1 + 15 - 2)*(g + 3 - 3) to the form n*g + q and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bh when two letters picked without replacement from sayaahxaabh?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1166 is divided by 589.\nAnswer: 577","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-5 + -2*sqrt(3645) - ((-6*sqrt(6480))**2 + -4)).\nAnswer: 162*sqrt(5) + 699843","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 179 + -167. Let t(z) = -10 + w*z**2 - 4*z**2 + 10. Let x(c) = c**2 + c**2 - 3*c**2. What is x(t(j))?\nAnswer: -64*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*c + 350278 = -15*c - 8*h, h - 140086 = -2*c. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of -t**6\/2 + 51*t**5\/5 - 273*t**4\/4 + 183*t**3 - 162*t**2 - 8. Suppose l(b) = 0. Calculate b.\nAnswer: 0, 1, 3, 4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - -9709294.16185?\nAnswer: 9709296.16185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 3 + 3*b + 7)*(-4 + 2 + 5).\nAnswer: 9*b + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 66 * -11.6\nAnswer: -765.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*l**2 + 9 + 6*l - 6*l**2 + l**3 - 9 as d*l**3 + c + w*l**2 + g*l and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*o**2 - 3*o**2 - 269 - 3*o**2 - 25.\nAnswer: -11*o**2 - 294","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 403 and 26103891?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42)\/273 + (1 - 1)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of 5*z**3\/3 - 3*z + 4. Let v(n) = 21*n**2 - 11 + 7 + 5*n**2 - 12. Determine 16*b(y) - 3*v(y).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -243826 times 2\nAnswer: -487652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or 1084546.86?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:25 PM and 5:21 PM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8308627?\nAnswer: 61, 136207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 465482 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 162 - -110. What are the prime factors of t?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -89087, -89091, -89107, -89141, -89199?\nAnswer: -89287","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 + -10. Let p be ((-9)\/(-3) + -3)\/1. Solve p = -4*j + 16, 2*j + 8 = s*h + j for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 348 and 87?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b - 10. Let c be u(-4). Put -2, 5, c in decreasing order.\nAnswer: 5, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1372)\/231 - -6)\/(4\/(-6))?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add -2823 and -0.1439772942.\nAnswer: -2823.1439772942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 1085*n - 1. Let z be x(-2). Let y = -701 - 6470. Let m = z - y. Round m to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 28.84277m?\nAnswer: 28842770000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -48658b (base 13) in base 6?\nAnswer: -101011030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 7:41 AM?\nAnswer: 6:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56830, -113657, -170484, -227311, -284138, -340965?\nAnswer: -397792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l - 6. Suppose 4*f - 4 - 16 = 0. Let o be r(f). Suppose -o*m - m + 55 = 0. Calculate the remainder when 21 is divided by m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3879067 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 199651 = -10*w - 149349. What is w rounded to the nearest 10000?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of 3\/2*s**2 - 1\/20*s**5 + s + 1\/3*s**4 + 0*s**3 + 0. What are the prime factors of g(3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 36*(16\/12 + -1). Let y be (o + -9)\/(3\/1). Sort -4, y, -6 in decreasing order.\nAnswer: y, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 11 and -36.5.\nAnswer: -25.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**3 + 5*o**2 + 6*o - 3. Let l(z) = 2*z**3 + 2*z**2 - 9*z + 5. Let v be l(2). Suppose -3*x + v - 5 = 4*q, -x - 5*q = 9. What is n(x)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35 + 37. What is the third derivative of -12*c**4 + 21*c**4 + 7*c**5 - 9*c**4 + 4*c**z wrt c?\nAnswer: 420*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10.4 - -2153368554.\nAnswer: 2153368543.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 314191252 is divided by 9538.\nAnswer: 9532","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -63644889 divided by -14501?\nAnswer: 4389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -92511, -184819, -276921, -368817, -460507?\n\"Answer: 103*x**2 - 92617*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4*4\/(-16)*21. Suppose -3*v = -0*v - 18. Let l(u) = -v*u - 4 + u - 2*u. Let d(n) = 36*n + 21. Determine q*l(z) + 4*d(z).\nAnswer: -3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - g + 40 = 0. Suppose -6*c + c = -g. Find the third derivative of 5*d**3 + 2*d**3 - 5*d**3 + c*d**2 wrt d.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 345607630?\nAnswer: 2, 5, 223, 154981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-3)*(-225)\/25?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5183 + 5196. Suppose -u = 2*i - 1, -2*i + 5 = 4*u + u. Suppose c = -i*a + 2*a + 7, -c = -a - 6. Calculate the remainder when v is divided by c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53954.\nAnswer: 2, 53, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -0.4, 39, -0.14?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*i**2*u*z + i**2*u + i**2 - i*u**3 + 2*u**3 + 77*u**2*z wrt i.\nAnswer: 4*i*u*z + 2*i*u + 2*i - u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/822 and -1\/621706?\nAnswer: 1865118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - a = -6. Suppose -9 = -a*j + 5. Let l be (2 - (0 + 2))\/(j\/7). Solve -4*p + 2*p - 4 = l for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4487*i**3*p**2 + 10*i**2*p**2 + 4*i**2*p + i**2 wrt i.\nAnswer: 26922*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 + -8. Let r be (74\/(-4))\/((-2)\/8). Suppose -2*d = -a - 0*d + 14, 0 = -g*a - 2*d + r. What is the greatest common factor of 2 and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-8) + (7 - 111\/(-12)). Calculate the greatest common divisor of x and 336.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuwwuuuwwwuawu. What is prob of sequence aw?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1325484 divided by -36819.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 + 19. Suppose -4*t + 16 = -0*m - 2*m, 0 = x*m - 5*t + 50. What is the smallest value in m, 4\/7, -0.1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**2 - 6*m - 7. Let p be j(-3). Solve 2*o + 8 = -p*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (8\/(-20))\/2.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000025590187 to seven decimal places.\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 26262 divided by -3\nAnswer: -8754","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77833694 is divided by 364?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0413 + 0.2413. What is the second smallest value in -2, w, -2\/5, -0.1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(180)*2)\/(sqrt(5) + (sqrt(5) - sqrt(60)\/(sqrt(24)\/sqrt(2) + sqrt(12)) - sqrt(5)) - sqrt(5)))\/(sqrt(144)\/(sqrt(12)*4) + -3*-4*sqrt(12)))**2.\nAnswer: 3072\/2401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 437669 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = a**2 + 6*a - 6. Let t(z) = -3*z**2 - 17*z + 17. Calculate 11*i(l) + 4*t(l).\nAnswer: -l**2 - 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -725129 + 741127 = -421*k for k.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 33 (b) 2 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -31087628 divided by -4301\nAnswer: 7228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 29 in 15, 0.7, -1\/52, -14.5?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(-10) + (-1235)\/25 + (-171)\/(-19) + -15?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - -1. Suppose 51*v - 7*v = 0. Suppose 8*i - 66 + 98 = v. Sort -5, 0, i, r in ascending order.\nAnswer: -5, i, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3\/15 + 38*k**2\/15 + 82*k\/15 + 14\/5.\nAnswer: -2*(k - 21)*(k + 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 - 11. Suppose m = k + q, 2*q = -k + 3*q + 5. Let h = 110 + -61. Calculate the greatest common divisor of h and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i + 304 = -88. Suppose 0 = 2*j - 2*w - i, -j + 3*w + 46 = 10. Calculate the highest common divisor of 6 and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7054863?\nAnswer: 3, 1409, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**2 + 13*d - 85. Determine k(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -287*k = -245*k + 190050. Which is the smallest value? (a) k (b) 1\/3 (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*b + 0*b + 4*b)*(-2 + 0 + 1) - b + 3 - 3)*(0*b**3 + 2*b**3 - 3*b**3).\nAnswer: 3*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = -2*j - 625 + 622, j - 5*k - 3 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 3122?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -11106557, -22213184, -33319813, -44426444, -55533077, -66639712?\n\"Answer: -r**2 - 11106624*r + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21771*b**3 - 2 + 2 + 43552*b**3 - 21780*b**3 - 45351*b.\nAnswer: b**3 - 45351*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 180762347?\nAnswer: 181, 998687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -119491, -238979, -358467, -477955, -597443, -716931?\n\"Answer: -119488*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of -111*l**6\/40 - 2*l**5\/15 - l**3\/6 - 161*l**2 + 3*l. Find the third derivative of s(a) wrt a.\nAnswer: -1998","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 338694 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + c - 1, -3*m + 4*c = -0*c + 4. Let j be (6 - 3) + m - 5. Is j at least -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 w when two letters picked without replacement from wwwwyzyjwyywyywwwwjy.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -2*h**2\/13 - 40*h\/13 - 72\/13 = 0.\nAnswer: -18, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 3*z + 17*z**3 - z - 7*z**3 - 129 - 9*z**3. Suppose 9*c - 4*c = 0. Let v be m(c). What is v rounded to the nearest ten?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 6*y + 315. Let p be h(-28). Which is smaller: p or 148?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -l - 2. Let g(u) = 9*u - 1. List the prime factors of g(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-2) - (44\/(-12) - (-8 - -4)).\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90489203 to the power of 1\/3, to the nearest integer?\nAnswer: 449","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 8 = 5*b. Suppose 2 = 3*z - 4. What is the second derivative of 0*l - 2*l + b*l**4 - z*l**4 - l wrt l?\nAnswer: 12*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 19*t - 17. Determine b(6).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(32) + -1)*-6*5)**2.\nAnswer: -7200*sqrt(2) + 29700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 10\/1241 and -29\/102?\nAnswer: 7446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -2*h + 4*h. Let x(j) = 5*j + 15. Let k be x(h). Suppose 73 = 4*i - k. Is i a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -188, -374, -558, -740, -920?\nAnswer: -1098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*u + 258 = 25*u for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 2*i - 36 = 0, 5*i = -4*f + 88 - 144 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**3 - l - 2. Let s be g(-1). Let x be -6*(s\/3 - 0). Suppose 0*o - o + x = 0. Calculate the remainder when o is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of v**2\/2 + 5*v + 3. Let m be z(-6). Let j = 1 - m. Is 3 at most as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -1109\nAnswer: 1\/1109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 262260, 262274, 262288, 262302, 262316, 262330?\nAnswer: 262344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -24 - -32. Let p be 4 + (-1 + -7 - -3). Put 0, c, p in decreasing order.\nAnswer: c, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 942 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of -1\/3*u**4 - 2\/15*u**5 - 1\/2*u**3 + 1\/120*u**6 + 0 + 16*u**2 + 2*u. Calculate c(9).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1962 is divided by 327.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 7\/(-3)*(-6)\/28*(63 - -23)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -7, 2, -0.2, 1, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 142*t + 3*t**4 - 138*t - 3*t**3 + 5*t**2 + 477*t - 152*t to f*t**2 + o*t**3 + q*t**4 + h*t + c and give h.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/3*6\/8.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 6*v**2 + 54*v + 22. Suppose -133 = -5*m + 17. Suppose -5*s + m = -10. Calculate the remainder when w(-9) is divided by s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -587 and -7.7512?\nAnswer: 4549.9544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21 and 9\/(-27) + 128\/6?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 64017453?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -21535, -35302, -49071, -62842, -76615, -90390, -104167?\n\"Answer: -t**2 - 13764*t - 7770","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2443464*u - 35382157 wrt u.\nAnswer: -2443464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 14528+-3422543976\nAnswer: -3422529448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/2 or 297?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 2*y + 5*f, -3*y - 2536*f = -2537*f + 21 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 233220?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o - o - 3*o - 2*o - o - o + (-2 + 2*o + 2)*(-4 + 1 + 5) + o - o + o)*((0 - 6 + 4)*(-1 + 0 - 3) - 3 + 7 - 2).\nAnswer: -60*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3113290523 rounded to five dps?\nAnswer: 0.31133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -x**3 - 2*x - 10. Determine l(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/5)\/(w\/(((w\/(w**(-7)\/w))\/w*w)\/w)*w*w))\/(w**(1\/2))**(3\/5) assuming w is positive.\nAnswer: w**(51\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 8 = -7*k. Let h = -6.6 - -0.6. Let c = 5.9 + h. Sort -5, c, k in ascending order.\nAnswer: -5, c, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 47 = 2. What are the prime factors of k?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14681 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*l**3 - l**3 + 5*l**3 - 2*l**3.\nAnswer: 6*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 + -12. What is the second derivative of 4*g - f*g - g**2 - 2*g**2 wrt g?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 w when two letters picked without replacement from {n: 1, w: 3}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 70404569 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -16, 103, 222?\n\"Answer: 119*p - 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 703341 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 763267 - 27?\nAnswer: 763240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 7633?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1100002120 (base 3) in base 7?\nAnswer: -136500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 7473?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -5a1437 (base 12) to base 14\nAnswer: -29bb99","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-107)\/(-642) - (2 + (-21)\/6).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 367\/9 - 41. Let j = 2.273 - 2.243. Which is the closest to p? (a) 1\/4 (b) 2\/11 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6017 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -77*n - 29. Let i(q) = 43*q + 15. Let f(g) = -9*i(g) - 5*u(g). Give f(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60.0971 kilometers to centimeters.\nAnswer: 6009710","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -24 - -82. What are the prime factors of h?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2330520 divided by 97105.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 10:13 AM?\nAnswer: 3:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -13 - 2*v + 13. Let b(x) be the third derivative of 0*x + x**2 - 1\/30*x**5 + 0*x**3 + 0*x**4 + 0. What is b(o(n))?\nAnswer: -8*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -8, -125, 16, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.01 - -3. Let c = a - 0.59. Let t = c + 0.600075. What is t rounded to 5 dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1507 and -17.\nAnswer: -1524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-2013)\/(-1089) + 4\/(-22)\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/(-10))\/(18\/(-45)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, b: 5, g: 1, i: 1, o: 11}. Give prob of picking 1 y and 1 i.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -583703 + 583718.00005. Let g = b + -15. What is g rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -32*l**4 + 5*l**2 + 5*l - 18. Let h(z) = -33*z**4 + 6*z**2 + 6*z - 16. Let g(n) = 5*h(n) - 6*w(n). Find the first derivative of g(i) wrt i.\nAnswer: 108*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-3*sqrt(68) + sqrt(68))*2)\/(((sqrt(120) - -1*sqrt(120))\/sqrt(3) + sqrt(40))\/sqrt(10)).\nAnswer: -4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -17396727, -17396692, -17396635, -17396556, -17396455, -17396332?\n\"Answer: 11*a**2 + 2*a - 17396740","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79*r**3 - 146*r**3 - 22*r**2 + 22*r**2.\nAnswer: -67*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3122113151 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10044 and 288?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + -0.6. Which is the nearest to 0? (a) -2 (b) j (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 487 - 1120284638.\nAnswer: -1120284151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(125) - (-1 + sqrt(125)))*-6*-3)**2 - (((sqrt(720) - -1*sqrt(720))*-2)**2 + sqrt(720) + (((sqrt(720) + 1)*6)**2 - sqrt(720)) + sqrt(720))*-1.\nAnswer: 876*sqrt(5) + 45576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 56*-125\nAnswer: -7000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h**(-1\/21)))\/h*h**(2\/3)*h*(h**(-12)\/h*h)**(-1\/13) assuming h is positive.\nAnswer: h**(149\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**2 + 6*q - 131. Let n(i) = 1366*i. Calculate l(n(b)).\nAnswer: 1865956*b**2 + 8196*b - 131","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of 0*a**3 + 1\/12*a**4 + 15*a**2 + 0 + 0*a. Let q(u) = 73*u**2. Determine g(q(o)).\nAnswer: 146*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -204 = -1228*j + 1224*j. What is the greatest common factor of j and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, e: 3, r: 8, s: 3}. What is prob of picking 1 e and 1 s?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 33758275*f**2*h - 51457292*f**2 wrt h.\nAnswer: 33758275*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of 67*f**5\/10 + 1373*f**4\/12 - f**2\/2 + 1296*f. Find the third derivative of j(h) wrt h.\nAnswer: 804","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/6 - 385*f\/2 + 1004462\/3.\nAnswer: -(f - 953)*(f + 2108)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1 - -21)\/(8*5\/20). Calculate the highest common factor of d and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-3) - 322\/(-6). Suppose 2*a + a - r = 0. Suppose 0 = -0*f - 3*f + a. Solve f*o = o - 20 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/4 and 31\/258.\nAnswer: 516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 470*y = 463*y - 115, 7*a + 215 = -3*y for a.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4550\/252)\/(-13)*(-32)\/10 + -113 + 109.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 26*q = 25*q + 275, -k + 125 = -2*q. List the prime factors of k.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -440 by 40.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1\/10 + -31\/260. Let w = -107\/156 - j. Suppose -9 = -3*h, 1 = -12*z + 16*z - h. What is the second biggest value in -0.4, z, w?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 319 is divided by 98.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15242 is divided by 1998?\nAnswer: 1256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 873 + -2621\/3. What is the closest to f in 1\/3, 4, 1, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3147 + 9217\/3. Let a = 75 + v. Solve 0*c + a*c**3 + 0 + c**2 = 0 for c.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (1948\/6)\/(2\/3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 6, b: 2, s: 3, v: 2}. Give prob of sequence sshv.\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-73*u**2 - 5 + 141*u**2 - 70*u**2)*(-363 - 358 - 5*u + 719).\nAnswer: 10*u**3 + 4*u**2 + 25*u + 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 111664967 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence asp when three letters picked without replacement from baasqpaaabbpavqqqpb.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 6*a - 28. Let m be i(-13). Let b = m - -201. What is the tens digit of b\/(-38)*(876\/(-10) + 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/(-4) + (1 - 1). Suppose -2*l + w*l = 0. Suppose -4*z - 64 = -4*i - 0*z, l = -2*z + 4. Is 7 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/9 (b) 40 (c) 0.2 (d) -2\/69\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 71*i**3 + 2*i**2 - 2*i + 1. Suppose -3 = -5*k + 2. Let f be q(k). Calculate the greatest common divisor of f and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8428*p - 3*p - 4137*p - 118*p as a + q*p and give q.\nAnswer: -12686","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, -2, 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1594766 * -0.09.\nAnswer: 143528.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -385*s = -381*s - 3*i - 19, -5*i + 15 = 5*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27 + 21 + (-1 - -13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 5) in base 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 255 divided by 3\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 78.3379 - -1.6521. Let z = -75.2 + u. Round z to zero dps.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37162149.\nAnswer: 3, 31, 409, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 11033123 (base 4) to base 15\nAnswer: 6562","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2767466 by -1.\nAnswer: 2767466","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 1\/8 (b) -1051\/10 (c) 2\/517\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 11*u**2 - u + 5. Let j(a) = -22*a**2 + 3*a - 9. Give -2*j(t) - 5*w(t).\nAnswer: -11*t**2 - t - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6311 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x - 11. Let i(v) = -4. Let a(w) = -4*b(w) + 11*i(w). Let q(g) = 2*g**2 + 0*g + 0*g. What is q(a(r))?\nAnswer: 32*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 937 - 5811. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 5 = 65. Put 3, x, -1 in decreasing order.\nAnswer: 3, -1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80192 + 376822 = 10578*b - 2832*b for b.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 92*j = 51*j + 52*j + 219, 5*s = -3*j - 82 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17.9 + -17.767. Round f to 2 dps.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 163514317 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/470 and 65\/20586?\nAnswer: 102930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.121797*5.\nAnswer: 0.608985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2170923894?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -46538 - -70366. What are the prime factors of u?\nAnswer: 2, 7, 23, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 8 (b) -0.09 (c) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 306 - 184. Does 6 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}