diff --git "a/data/dm_maths/full_data_1/104_11255.jsonl" "b/data/dm_maths/full_data_1/104_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/104_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Three letters picked without replacement from yyyyyclcycc. What is prob of picking 2 y and 1 c?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*w - 10 - 17 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*(3\/((-6)\/(-4)))\/(-2). Let q = 6 + b. Solve 5*r = -0*y + q*y - 35, 5*r = -10 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*p = -29*p - 86. Let u = p - -89. Suppose u*h = -18*h + 126. Calculate the highest common divisor of 1 and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - j + 4*j - 73 = 0, 4*d - 58 = 2*j. Suppose -10 - d*c + 14 + 4*c**2 - 52 = 0. What is c?\nAnswer: -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1585691?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.056? (a) -0.4 (b) 4\/3 (c) 835\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 61 = 4*z + 26, 135 = -5*z - 5*v. Let k be ((-2)\/4)\/(4\/z). Differentiate -7 + 2*t**3 + 17 - k wrt t.\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4\/3, -19456, -3?\nAnswer: -19456","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15407 + 15627 = -55*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(2\/7)\/d*d)\/d*d\/d**(-1\/5))**6\/(d*d*(d\/d**6)\/d*d**(2\/3)*d)**(6\/7) assuming d is positive.\nAnswer: d**(382\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63156598 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 * -0.3\nAnswer: -0.015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*k**3\/9 + 74*k**2\/9 - 398*k\/9 - 104\/9.\nAnswer: 2*(k - 4)*(k + 13)*(4*k + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/2*-2 + -5. Let t be (-1)\/(2\/(-4)*c). Is t\/(-5) + (-3522)\/(-15) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((d\/(d\/((d\/(d*d**(-1\/6)))\/d)))\/d)\/d)**(7\/6))**(-29))**(1\/48) assuming d is positive.\nAnswer: d**(3451\/1728)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1342*b + 6418 = 140*b + 76072 for b.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 41.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a litre in millilitres?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.1 (b) 2\/3 (c) 1619 (d) 11\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 160769805075*v**4\/2 - 59725710*v**3 + 11094*v**2 = 0.\nAnswer: 0, 86\/231495","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the first derivative of 1 - 1\/2*z**2 + 9*z. Determine c(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/(a\/((((a**(-29)*a)\/a)\/a)\/a))*a\/(a*a**(2\/31))*a assuming a is positive.\nAnswer: a**(-932\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - h = h + 2*h - 16, -3*o - 4*h = o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 1045930\nAnswer: -313779","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 69*k**2. Let l(y) be the third derivative of y**5\/12 - y**4\/12 - 310*y**2 + 6*y. Determine l(q(w)).\nAnswer: 23805*w**4 - 138*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 75 divide 165961?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 1)*(10 + 12 + 23)*(3*t**2 + 3*t**2 - 7*t**2).\nAnswer: -45*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and 73.09?\nAnswer: -146.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13378*h**5 - h**2 + 6*h - 214.\nAnswer: 802680*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/13 (b) -221 (c) 5 (d) 4 (e) 24\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-25 - (8 + -22)) + (21 - 17)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 33*a*f**3*k**2 + 32*a*f**3*k + 13*a*f*k**2 - 8*a*f*k - 9*a*f - f*k - k wrt k.\nAnswer: 66*a*f**3 + 26*a*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 546099 and 145.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -820\/39149 or 0?\nAnswer: -820\/39149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 4 - 5)*(151*m - 103039 + 206098 - 103051) to the form a + o*m and give a.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = -477 + 468 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -241, 0.3, -6?\nAnswer: -241","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 6.5*-0.27\nAnswer: -1.755","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 + 11*y**2 - 29*y + 135. What is p(10)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3401491?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1*(-91 - (-6 + 3)).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -276*r = -280*r - 5*x - 7, -x = -2*r + 7. Suppose -5*q = -4*q - 9. Calculate the least common multiple of r and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245) + 1 + sqrt(245) + -4*sqrt(180) + ((sqrt(500)*-1)\/sqrt(10) + sqrt(50))\/sqrt(640))**2.\nAnswer: -20*sqrt(5) + 501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 3*i - 205 = 0, -3*t - 5*i + 110 = 3. Suppose 0 = -3*c + 355 + 32. Calculate the remainder when c is divided by t.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5.61 + 1.93. Let p = -0.32 + c. What is the closest to 1 in p, -19, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 + 8*w + 64. Let o be i(13). What is the units digit of ((-5)\/3 + (o - -2))*-129?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 5*f = -0*f + 5, 5*f = 15 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12 and 2316068.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3 (b) -1\/5 (c) 1\/3 (d) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 30826 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9 + 10. Let k = -1.2 + c. Let a = -1.1 - -1. Sort -1, a, k in ascending order.\nAnswer: -1, k, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -4*a - 1 - 3*a + 2*a + 3*a. Let q(f) = -f + 9. Let s be q(7). Let k(o) = s*o - o + o. Give 2*b(g) + 3*k(g).\nAnswer: 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -148321072 + 4?\nAnswer: -148321067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 10 = -4*w, 3*w - 6 = -r - 0*r. Suppose 2*k + 0*k = -3*f + 53, 87 = r*k + 3*f. Suppose 66 + k = 5*v. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28283?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of t**3\/3 - 1. Let c = -11 + 8. Let a(m) = -m + 2. Let j(u) = -2*u + 3. Let d(s) = c*a(s) + 2*j(s). What is p(d(b))?\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*y**2 + 5*y**2 - 4*y**2)*(1 + y - 1) + (11*y + 6*y - 16*y - 4*y**2)*(2*y + 0*y + 0*y) - 35*y**3 - 92*y**3 + 32*y**3 + (-1 - 2*y**2 + 1)*(y - y + 2*y).\nAnswer: -113*y**3 + 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23925023?\nAnswer: 1117, 21419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/84782 and -27\/16.\nAnswer: 678256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the first derivative of 41*o**4\/4 - 2*o**2 - 4*o + 1906. Let y(p) = 204*p**3 - 21*p - 21. Determine 21*b(t) - 4*y(t).\nAnswer: 45*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -57*k + 52 - 52 as x*k + b and give x.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 117.2 + -120.2. Is 44 greater than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.4 (b) -68 (c) 1 (d) 3 (e) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4.73 + 0.27. Let t = 0.16 + 0. What is the third biggest value in y, t, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -514 + 1026 - 512 - 2*a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.01 and 13?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 + 0 = 2*i. Is i a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -288 + b?\nAnswer: -27a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 18*q**2 - q. Let x be g(1). Let w = 8 + x. Suppose -2*c + 146 = -a - a, 3*a + 365 = 5*c. Calculate the remainder when c is divided by w.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-1*sqrt(1372))\/sqrt(4).\nAnswer: -7*sqrt(7) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 172 is divided by 20?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 2 s when four letters picked without replacement from {x: 1, a: 2, m: 1, i: 2, s: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + 5ba50?\nAnswer: 5ba47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*a**3*d**3 - a**3*d - 46*a**2*d - 2*a*d**5 - d**5 + d**2 wrt d?\nAnswer: 18*a**3 - 120*a*d**2 - 60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o\/o**1*o*o)**(1\/3)\/(o**(-2\/3)*o**(-3)\/o))\/((o**(1\/4))**(4\/13))**28 assuming o is positive.\nAnswer: o**(50\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 16 and 456?\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -18796257 + 2?\nAnswer: -18796255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/2)\/(9\/4)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-49 + 7)*2\/(-3). Let h be 38\/d*-2 - (30 - 33). What is the closest to 2 in -1\/4, h, 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41.4 rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a**15))**1*a**(-10)*a**(-20) assuming a is positive.\nAnswer: a**(-45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 + 10*q + 21. Let v be k(-6). Let w be v*(-128)\/36 + 4\/(-6). Differentiate -13 - 16 + 4 - w*r with respect to r.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 842301 and 374356?\nAnswer: 3369204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(4*-5*sqrt(3)).\nAnswer: -sqrt(7)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**2 - 478776*r + 57306614544 = 0 for r.\nAnswer: 239388","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 7 + 1 + -9.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -7 + 7 + (-1 - 5) + -2\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 29\/2 of a millennium?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 69 - -128. What are the prime factors of x?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1255792436?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, 5, -238 in descending order.\nAnswer: 5, 1, -2, -238","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(2) + -1*sqrt(4)\/sqrt(2) + -4 + (sqrt(2) + 2)*5.\nAnswer: 2 + 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20941 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (39*34\/1547)\/((-8)\/7728*-18)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 456\/5 - 5006\/55. Let n = -9 - -13. Let t = n - 5. Which is the closest to t? (a) -3 (b) v (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2632 greater than 2630?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 + 8*d**2 + 8*d + 133. Determine w(10).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 109, 152, 195?\nAnswer: 238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fgefhph. Give prob of sequence gp.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 6. Let y be p\/(15\/(-2))*-6. Solve y*w = 3*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 + 0. Let j(d) = 15*d**4 + 10*d**3 + 25*d**2 - 10. Let q(s) = s**4 - s**3 + s**2 - 1. Let n(f) = h*q(f) - j(f). Factor n(a).\nAnswer: -5*a**2*(a + 1)*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -214594141 and 5.\nAnswer: -1072970705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 12488160 divided by 3122040\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/2 of a litre in millilitres?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(20) - (-4 + sqrt(980) + sqrt(20))))**2 + -2 + (sqrt(500) + (sqrt(500) + 3 - sqrt(500))**2)*-2.\nAnswer: -20*sqrt(5) + 960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4404258 * -0.07.\nAnswer: 308298.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 2 + 240 = 0. Does 11 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55097 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 6, -3 in ascending order.\nAnswer: -9, -3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -1153*t - 75174. Determine h(-67).\nAnswer: 2077","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the second derivative of w**5\/20 + w**4\/2 + 5*w**3\/6 - 7*w. Calculate g(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s + 328 = 12*s. Calculate the remainder when s is divided by 56.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -7*a. Let w be m(3). Let h = -10 - w. Suppose -8*p = -h*p + 12. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1415.\nAnswer: 5, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 7, z: 1, k: 3, w: 1, b: 1}. What is prob of sequence bkwd?\nAnswer: 7\/5720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30524?\nAnswer: 2, 13, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -109 + 125. Let i be (-1)\/u - 288\/256. Sort 92, i, 1\/4, 0 in descending order.\nAnswer: 92, 1\/4, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 225?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j + 8. Let h(s) = -2*s + 9. Determine 5*d(x) - 4*h(x).\nAnswer: 3*x + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-17)*z)**(28\/9) assuming z is positive.\nAnswer: z**(-448\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -118 divided by 6\nAnswer: -59\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-3))**28*(b*(((b*b*(b**(11\/4)*b)\/b)\/b)\/b)\/b)\/b**(2\/5))**(-8\/5) assuming b is positive.\nAnswer: b**(3266\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*c - 5 + 5)*(-7 + 10 - 9) to j*c + k and give j.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -139, -279, -417, -553?\nAnswer: -687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5 - -82135869?\nAnswer: 82135874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -2*q - 3. Let l be y(-2). Let f = -19 - -20. Calculate the highest common divisor of f and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1074497 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -287 = 2*x + 39*x for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - 233?\nAnswer: -233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 11:01 AM?\nAnswer: 12:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13819, 0, -34, -2, 1, 5 in descending order.\nAnswer: 13819, 5, 1, 0, -2, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 - 54*k**2 - 8*k + 3230. Determine g(53).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20.2 - -20. Which is the closest to 0? (a) -3 (b) 2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-11)\/((-66)\/15)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-9)*b**(-1\/10) assuming b is positive.\nAnswer: b**(-91\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000021667 rounded to 7 decimal places?\nAnswer: -0.0000217","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 3*m**2 - 4*m + 46. What is the units digit of h(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-25170)\/(-12) + (0 - 1\/2).\nAnswer: 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 + 13*i**2 + 13*i + 11. Let s be (0 - -2)\/2*-11. Let g be d(s). What is the greatest common divisor of g and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 44150 divided by -883\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of 1\/2*z**2 - 5*z + 2. Let g(o) = 2. Calculate -2*b(l) - 5*g(l).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26354.\nAnswer: 2, 13177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 3 + 5. Let z be b\/5 - (-13)\/5. Find the third derivative of -2*o**2 + z*o**6 - o + o - 7*o**6 wrt o.\nAnswer: -480*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 56*o - 12035. Let r be j(215). Let y(i) be the first derivative of -i**4\/4 + 2*i**3 - 4*i**2 + 4*i + 1. Determine y(r).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 71, -1, -0.391, -2.8, 3, -7 in decreasing order.\nAnswer: 71, 3, -0.391, -1, -2.8, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3290, 3313, 3352, 3407, 3478?\n\"Answer: 8*u**2 - u + 3283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 20*s + 25. What is the tens digit of o(18)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2512 = -132*c + 1422 - 6469 - 7101 for c.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3384.522 decades in millennia?\nAnswer: 33.84522","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7539412?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.27 + -0.270000162. Round d to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1516?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 7*j. Let i(g) = -143*g - 55. Let q(v) = -5*v - 2. Let b(n) = 2*i(n) - 55*q(n). Determine o(b(h)).\nAnswer: -77*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 187406515 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*d**3 + 5*d**2 - 5*d**2 + (-7*d - 221 + 221)*(1 + 55*d**2 - 2 + 1219*d - 1217*d).\nAnswer: -379*d**3 - 14*d**2 + 7*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 25 = t, -3*t - 3*g = 67 - 4. Sort t, -1, 4, 2.\nAnswer: t, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1284327 times -0.2\nAnswer: 256865.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 1\/6, 2\/5, -1, -1\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - -3664?\nAnswer: 3661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*t + 346 = -233*t - 35*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7 + -21.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20061 is divided by 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 - 15 = 9*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 1)*(4*c**3 - 116*c + 99*c - c**2 + 77*c).\nAnswer: 8*c**3 - 2*c**2 + 120*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.49072 + 0.5. Round m to 3 decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 15 = 0, 0 = 3*v + g + 15 - 40. Suppose 8*f - 3*f - v = 0. Find the first derivative of 2*b**2 - 2 - 5*b**f - 8 wrt b.\nAnswer: -6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 413654 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29390*c*h**3 - 29*c*h**2 + 1815*c*h - 82*c + 2*h**3 - h**2 wrt h.\nAnswer: 176340*c*h - 58*c + 12*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 298*s + 39301 = 39897 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (40 - 81 + 9)*(-6*z + 9 - 9) to the form x + w*z and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 319469 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 174763154045 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 26*n**2 + 14*n - 7. Let q(v) = -4*v**2 - 3*v + 1. Let o(r) = 28*q(r) + 4*x(r). Let t(p) = -p. Calculate 2*o(h) - 56*t(h).\nAnswer: -16*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 AM and 7:54 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 - 3*f**2 + 2*f - 7. Let q be k(6). Suppose -2*r + q = 5*u, -r = -5*r - 4*u + 196. Is 11 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z**2\/19 + 956*z\/19 + 223600\/19 = 0. What is z?\nAnswer: -172, 650","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12749271, -25498547, -38247825, -50997105?\nAnswer: -63746387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -219, 4, 1, 5\/2, -3\/2 in increasing order.\nAnswer: -219, -3\/2, 1, 5\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -555 != -572?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.174982113 rounded to three decimal places?\nAnswer: -0.175","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*d = -1916 + 1289. Calculate the remainder when d is divided by 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23540 and 2860.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 7, i: 12}. Give prob of sequence ivv.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-22)\/(-6) + ((-10)\/3)\/5. Solve a*w + 0*u + 5 = -2*u, 5*w - 2*u = -35 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-33)\/(-44))\/((-21)\/(-1708)). Find the second derivative of a - r - 37 - 77 - 164 + 51*r**3 wrt r.\nAnswer: 306*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (32\/24)\/((-4)\/6). Calculate the common denominator of -7\/3 and 16\/(-220) - k\/(-10).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4134103243 - -3?\nAnswer: 4134103301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*u = 41*u. Solve 0 = b - 3*v + 15, b + u*b - 2*v = -10 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 41 and 7.\nAnswer: 287","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*h + 26*h + 10 = -23*h - 28*h + 2*t, -19*h - 2*t = 36 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 354 and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-6*2*sqrt(98)*-6 + 1 + (sqrt(98) + 0 + -4 + sqrt(98) - sqrt(98)) + sqrt(98))**2.\nAnswer: -2146628 + 12432*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 5. Suppose -5*t + 20 = -t, 2*t + 115 = f*j. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -51118584 or -51118583?\nAnswer: -51118583","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1932771?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (129\/45 - 3)*228\/(-224) and -81\/10.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 + 8*j + 8. Let u = -11 - -4. Let m be h(u). Let p(k) = -12*k**2. What is p(m)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p**4 - 2*p**5 + 2*p**4)*(19 + 5 - 7) + 0*p**5 + 2*p**5 - p**5 + 10*p**5 + 4*p**5 - 6*p**5.\nAnswer: -25*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 5. Let x(m) = -9*m**2 - 4*m - 15. Let i(d) = -10 + 2 + 2*d**2 + 1 - 6*d**2 - 2*d. Suppose 0 = 3*o + 27 + 12. What is o*i(u) + t*x(u)?\nAnswer: -2*u**2 + 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 15641 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 79 + -72. Suppose 0 = -12*v - 31 + d. Let r be (-1 - v)*-1*(-141)\/47. Solve -r*p = -3 - 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43 - (-42 + 20 + 2 + 44) - (0 - 0)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15.39 - 0.39. Let l = f + -15.4. Let c = 0.9 + -5.9. What is the closest to -1 in c, -4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-4)*(-240)\/(-24)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -80, -101, -100, -65, 16, 155, 364, 655?\nAnswer: 1040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 6 + 3)*(-3*b + 1 - 1)*((-1 + 1 + 3*b)*(-b**2 + b**3 + b**2) + 6932 - 6932 + 240*b**4).\nAnswer: 729*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -3.3, 7, 0.2, 0.7 in increasing order.\nAnswer: -3.3, 0.2, 0.7, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of -7*j + 0*j**4 + 0*j**3 - 26\/15*j**6 + 0 + 0*j**5 - 15*j**2. What is the first derivative of m(o) wrt o?\nAnswer: -208*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*q - 8*q**3 + 6*q**3 + 3*q**2 + 10 - q**2 - 2*q**4 + 17*q as t*q**2 + d*q**4 + r*q**3 + g + j*q and give j.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 314*b - 317*b + 126*b**2 + 54*b**2 + 52*b**2 - 57*b**2 in the form t*b + c + a*b**2 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 + 22a?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 - 5.17344336\nAnswer: -5.57344336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/g**1*g*g)**(-5) assuming g is positive.\nAnswer: g**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*a + 111*a + 1340 = 654 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3709296 divided by 6?\nAnswer: 618216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 842 + -1377. Let u = -530 - t. Solve k - 3*k = 2*a, u*k + 6 = -3*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 202176418?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 119945175 a multiple of 207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 416288.8325 rounded to the nearest ten?\nAnswer: 416290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 3*a - 144 = -3*i, -5*i + 720 = 3*a. What is the highest common divisor of i and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 105, 409, 917, 1629?\n\"Answer: 102*y**2 - 2*y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2562\/13 (b) -127\/3 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 1052 = 2*m. Let q = 100 - 100. Suppose k + 3*h = m, -3*h + q*h - 239 = -k. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 8*p + 5*p - 11*p - 21. Let d(o) = 3*o**3 - o**2 + 2*o + 15. Let m be d(0). Give n(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -26 (b) -0.2 (c) 0.2 (d) -1\/12 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29*p + 146 + 115 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -135, -124, -30, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1503*a**3 - 171 + 171.\nAnswer: 1503*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 9:16 AM?\nAnswer: 4:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 515, 514, 513, 512?\n\"Answer: -t + 516","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/5)\/((-28)\/56).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (5*(6*(2*sqrt(756) - sqrt(756) - sqrt(756)))\/sqrt(12))\/((1*sqrt(5445))\/((-2*sqrt(60))\/sqrt(12) - sqrt(5))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -n**2*y**3 + 2*n**2*y**2*z**2 - n**2*y - 6*n*y**3*z**2 + 3*n*y**2*z**2 - 6156*n*y**2*z - 10*y**3*z wrt y.\nAnswer: -6*n**2 - 36*n*z**2 - 60*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m\/m**(-5\/3)*m*m)\/((m\/(m**3*m))\/m*m))\/(m**(-2\/9)*(m**3*m)\/m) assuming m is positive.\nAnswer: m**(62\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 420 and 42?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 57026, 456357, 1540262, 3651029, 7130946?\n\"Answer: 57048*i**3 - i**2 - 2*i - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1.2121 and -83.\nAnswer: -81.7879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 208423?\nAnswer: 29, 7187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b\/(b**(-1\/3)*b*b*b))\/b**(8\/5))\/(b**(-1\/6)\/b**(-11)))**(-1\/31) assuming b is positive.\nAnswer: b**(131\/310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4542 and 6138.\nAnswer: 4646466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 16) to base 4\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -748*a**2 + 1489*a**2 - 7 - 751*a**2.\nAnswer: -10*a**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three fifths of a milligram?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 121, -697, -2061, -3971?\nAnswer: -6427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -2\/3, 250, 1, 8\/7?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 + 69*w**2 - 135*w + 96. Let z be c(67). Solve -z*h + 1 = -28*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88\/20 + -4 + (-47934)\/(-15) + 4.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-7)\/35 - (-182)\/10. Suppose 0 = -3*t - 5*w + q, w + 5 = -2*t + 24. Is t a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 less than -3.4272?\nAnswer: -8.4272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -2\/35, -3\/2, 17 in decreasing order.\nAnswer: 17, -2\/35, -3\/2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -25, -27, 19, 131, 327, 625, 1043, 1599?\n\"Answer: 3*c**3 + 6*c**2 - 41*c + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 711 a factor of 15255927?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + -5 + 3 - 1. Which is the smallest value? (a) -0.2 (b) -0.3 (c) -0.1 (d) t\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - -5) + -1 + -1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 104834431 * -1\nAnswer: -104834431","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + (3 - 2))\/2. Let f(t) be the first derivative of 3\/2*t**4 - 2*t**3 + g*t - 2\/5*t**5 - 2 + t**2. Suppose f(b) = 0. What is b?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 44 and 5997002.\nAnswer: 11994004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 3*h + 33 = 0, -37 = 2*m - 7*h + 2*h. Let u(b) = 223*b**2 + 6*b + 106. Is u(m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/40 of a week?\nAnswer: 45360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11.92 + -24.92. Let a = -179 + 171. Which is smaller: a or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16491, 16485, 16479, 16473, 16467, 16461?\nAnswer: 16455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -11725 + 11727. Which is the fourth biggest value? (a) x (b) 5 (c) 1\/5 (d) -0.4 (e) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/4)\/(-4 - 28\/(-8)). Suppose 3*m = -2*j + 47, k*m - 13 = m - 5*j. Solve -y - 26 = 5*s, 3*s + m = -2*y - 2*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, -4, 6, 25, -1 in increasing order.\nAnswer: -14, -4, -1, 6, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5.4 + -324.6. Let u = 329.91 + b. Put u, -1, -0.2, 2\/5 in ascending order.\nAnswer: -1, -0.2, u, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 243943?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 109740 (b) -0.9 (c) -0.5 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 234.1406 + 346.0758. Let t = a - 580.19139877. Let w = -0.025 + t. What is w rounded to seven dps?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a**2 + 8*a + 4. Let i be (2\/2 - 2) + 4. Let g(v) = -4*v**2 - 17*v - 4 - 1 - 3. Let c(j) = i*g(j) + 7*n(j). What is c(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 - 10*h + 3. Let n be m(-10). Solve -f = -n*f + 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -2. Let n be 0\/(3 - 0) - j. Solve 0*d - 5*y + n = -2*d, 0 = 3*d + 4*y + 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/1800 and -43\/750.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 45 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-11)*c*c*c**(2\/13))**(-34) assuming c is positive.\nAnswer: c**(3910\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0329 from -791.\nAnswer: -791.0329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -10334, -21116, -32382, -44132?\n\"Answer: -242*n**2 - 10056*n - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:17 PM and 8:00 PM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42929136 is divided by 4645.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 12 - (-1370)\/(-115) - (-72084)\/(-23). Let l = 8344190 + -175293742\/21. Let d = v - l. Find the common denominator of -65\/21 and d.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17 - 15. Let u = 2031.5 + -2032. What is the second smallest value in z, u, -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1757681 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 473.000000158 + -473. What is p rounded to seven decimal places?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(7)*-1*-1.\nAnswer: 2 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -29.9727 - 0.0273. Sort -5, k, -2\/17 in ascending order.\nAnswer: k, -5, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + 30552343?\nAnswer: 30552335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/144 and 79\/384.\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttttttrrttrttttttt. What is prob of picking 2 r and 1 t?\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 686*m**4 + 225792*m**3 + 24542700*m**2 + 855290000*m - 2792906250.\nAnswer: 2*(m - 3)*(7*m + 775)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1449)\/2415*5\/18*-14.\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 8*a - 7. Let u(f) = 1. Let n(b) = -4*m(b) - 28*u(b). Let k(y) = 2*y. Determine k(n(g)).\nAnswer: -64*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -130, -183, -248, -307, -342, -335?\n\"Answer: 3*y**3 - 24*y**2 - 2*y - 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h**2 + 6*h - 16. Let k(x) = -x**2 - x - 4. Let y(z) = -6*k(z) + q(z). Let y(j) = 0. Calculate j.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/5 of a millennium?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1115+-0.02\nAnswer: 1114.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 6 = -p, -7*p = -3*p - 5*c + 12 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*n + 35 = -4*l, 3*n + 506 - 521 = 0 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.11 + -3.89. Let g = 2 + 0. Let c be (g + 1)*(-4)\/(-3). Sort y, c, 0.5 in increasing order.\nAnswer: y, 0.5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -1 - (30 - 33 - 22)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 62608 and 27585376.\nAnswer: 1456","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*p - 87*p = -12420. Calculate the smallest common multiple of p and 162.\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 12220504?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-3) - (110\/30 - 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 193*m + 19158 = 17421 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/7192 and 85\/5394.\nAnswer: 21576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of f**6\/24 - 2*f**5\/15 - 11*f**4\/24 + 4*f**3\/3 - 27*f**2. Let c(m) = -3*m**3 + 5*m**2 + 7*m - 5. Determine 8*c(b) + 5*d(b).\nAnswer: b**3 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-2*sqrt(1872) - (-2 + 1*sqrt(1053))**2.\nAnswer: -1057 + 180*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - h + 5*a = -118, 0 = 5*h + 3*a - 233. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2364387 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (4 + (1 - 9) - 0).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hbvqvrrbrbrvrfh. What is prob of sequence bbr?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -2*s - 4, 5*p = -2*s + 2*p - 5. Let r be s\/(3\/21)*-1. What is the greatest common divisor of r and 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11.18*-0.2.\nAnswer: -2.236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*d + 6416 = d. Suppose 174 = -4*o + 10*o. Calculate the remainder when d is divided by o.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**0*a)**(15\/7)*(a*a*a*a**(-3)\/a)**(-2\/15) assuming a is positive.\nAnswer: a**(239\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1849 a factor of 190243610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 165 = -i. Let z = 52 + i. Is z a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2975 and 2125?\nAnswer: 14875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/15 (b) 3 (c) -33 (d) -5\/12 (e) 0.3 (f) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 - -6. Let w = v + 15. Calculate the highest common divisor of w and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*((-46)\/115)\/((-12)\/(-70))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h. Let a be v(-2). Suppose 2*n - 4 - a = 0. Suppose 61 = -n*i + 313. Calculate the highest common divisor of 12 and i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k**2 - 316*k - 319. Determine s(159).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.088 + -0.0933. Round d to 2 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10*0.047419604.\nAnswer: -0.47419604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*r = 24*r + 12 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 23*p**2. Let h(j) = 6*j - j - 8*j. Calculate u(h(c)).\nAnswer: 207*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 20362621967 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -145*i**2 + 247*i**2 - 103*i**2. Let k(l) be the third derivative of -3*l**5\/4 - 2*l**2. Give k(s(t)).\nAnswer: -45*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 121 is divided by 56?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 111 = 4*t, -125 = -7*i + 92*t - 90*t for i.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 117585, 114413, 111243, 108075?\nAnswer: 104909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 4*a**3 + 21*a**2 - 23*a - 17. Let f(g) = 5*g**3 + 21*g**2 - 23*g - 17. Let k(l) = -3*f(l) + 4*s(l). Let m be k(-22). Is m at most as big as 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4553.99 or -154?\nAnswer: -154","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -117938908.92015 + 117942396. Let q = f + -3487. Let p = q - 0.08. Round p to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1715.026544 - 1715. What is s rounded to three decimal places?\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = y - 28, 6*y + 3*c - 54 = 3*y. Solve 4*i - y = -i + 5*o, 0 = 2*i - o - 4 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 4*o - 18 = 0, -7*g - 20 = -11*g - 3*o for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/8)\/v**(-2\/7))\/(v\/(v\/(v\/v**(-2\/3))*v))**2 assuming v is positive.\nAnswer: v**(-197\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22716?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 1 - 6)*(c + 3*c**2 - c + 3*c**2 + c**2 - 2*c**2 + (c - 2*c + 3*c)*(0*c + 0*c - 2*c)).\nAnswer: -c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p - 2*j - 245 - 5297, -3*p + 2*j + 3326 = 0. Let c = p + -1594. Let l = 353 - c. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1213*i + 1404*i - 2193*i + 1 - i - i + 0*i + 4*i - 2*i + 0*i + (1 - 2 + 2)*(3*i - 4*i + 3*i) + 4*i - 3*i + 0*i - 3 + 3 + 2*i.\nAnswer: 429*i + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 168 divided by 56\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 165 - -71. List the prime factors of v.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2330*f + 2*f**2 + 2162*f - 4624*f.\nAnswer: 2*f*(f - 66)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 487659366.\nAnswer: 2, 3, 67, 179, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 2*n - 2, 53*n - 5*o - 18 = 49*n. Solve -3*x - 2*p = -4*x - 13, -6*x - 4*p = -n for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 4*w = -3568, -2*w = -8*k + 10*k - 1784. Let c(o) = 173*o - 11. Let y be c(8). Let q = y - k. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3719 in 0.05, -27, 2\/11?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -73837*j*t**3*w**3 - j*t**3*w - 2*t**3*w**3 - 98*t**3*w**2 - 20*t**3*w - 16*t*w + 4*w**3 wrt j.\nAnswer: -73837*t**3*w**3 - t**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -202 - -213. Let k be (1\/1 + -17)*-7. Suppose 5*v + k = 3*u, u - v = -3*u + 172. Calculate the greatest common divisor of u and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -6*n**3 - 17*n**2 - 61*n + 51. Let k be x(-9). Is k smaller than 3597?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1200878987 and 29.\nAnswer: 1200879016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/22 and 5\/104346.\nAnswer: 104346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of 36*i**5\/5 + 84*i**4 + 1048*i**3\/3 + 616*i**2 + 484*i - 293. Let p(b) = 0. What is b?\nAnswer: -11\/3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 7500, 3806, 112?\n\"Answer: -3694*z + 11194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) 0.4 (c) -5 (d) 11\/57\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkxkxkkk. Give prob of picking 3 k.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 32547?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 - (-4 - 0))*0. Which is the nearest to d? (a) -3 (b) -2 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*j*q + 5*j - 222*q**2 + 35 wrt q.\nAnswer: -7*j - 444*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -21*v + 65. Let t(a) = 6*a + 1. Determine -4*t(r) - x(r).\nAnswer: -3*r - 69","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(5*(1 + -1 + sqrt(5)) + 3 - (-4*sqrt(720)\/sqrt(9)*-6)**2).\nAnswer: -5*sqrt(5) + 46077","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7551.38 rounded to the nearest one hundred?\nAnswer: 7600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15552 and 256?\nAnswer: 62208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -99 in 7\/5, 5, -3\/4, 9, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-4))\/(3*30\/12).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 times -173?\nAnswer: 69.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f**2. Let q(h) = -2746*h - 13. Calculate l(q(x)).\nAnswer: 15081032*x**2 + 142792*x + 338","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.327 rounded to 2 dps?\nAnswer: -2.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, 54, 236, 584, 1152?\nAnswer: 1994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 + 6*p - 6. Let k be a(5). Let h be k - (5\/(-7) + 0). Let x = -4.17142 - -11.17142. Put x, h, -3 in descending order.\nAnswer: x, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0804315 rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1119597 to the nearest integer?\nAnswer: 1058","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12109 - -30871. Does 62 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 3*q + 47. Suppose 5*b = c - 58, 86 = 3*c - 408*b + 404*b. Determine p(c).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13 by -74.\nAnswer: -13\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 12250390 and 410.\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v**3 + 4*v**2 - 2*v + 1. Let r be g(2). Suppose -1 = r*s - 21. Solve s = 3*z - 8 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 160505584 and 2064?\nAnswer: 688","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -4\/7, -3, -1?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millimeter in micrometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9 + -5. Suppose 5*f - t = f, 6 = o + 2*f. Suppose 60 = 5*r + 20. Solve -o*l - 4 = -r*l, -5*l - 7 = -4*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -43879 or -46537?\nAnswer: -46537","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6802?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 + 16*x - 14. Let o be n(-17). Sort -0.1, 1, o.\nAnswer: -0.1, 1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 1, n: 1, t: 1, a: 6, g: 4}. Give prob of sequence aqn.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cciiccccccc. Give prob of picking 1 i and 2 c.\nAnswer: 24\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 412107.7 and 2?\nAnswer: 824215.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, -6, -801, -76 in decreasing order.\nAnswer: -2, -4, -6, -76, -801","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -329, -320, -311, -302?\n\"Answer: 9*n - 338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the third derivative of v**6\/1980 - 5*v**3\/2 + 12*v**2. Let j(p) be the first derivative of x(p). Factor j(r).\nAnswer: 2*r**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, d: 2, n: 4, g: 12}. What is prob of sequence kgg?\nAnswer: 22\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 - 374*y - 2661. What is r(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5168400 rounded to the nearest 10000?\nAnswer: -5170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 7) + 19 + 3\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2127417 + 319118 = -52*b + 2171313. What is the hundreds digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddv when three letters picked without replacement from {w: 1, y: 3, v: 2, d: 8, g: 2, i: 1}.\nAnswer: 7\/255","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of 85*y**4\/4 - y**3 - 300*y - 158. Find the first derivative of s(z) wrt z.\nAnswer: 255*z**2 - 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25001000 rounded to the nearest one hundred thousand?\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 103831909 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 i, and 2 w when four letters picked without replacement from iwiwjijiiwziiwwww?\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/10 - ((-1)\/(-4))\/(25\/20)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*j**4 - 9*j**3 + 102*j**2 wrt j?\nAnswer: -48*j - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -194 + 194. Let q = -60.06 - -60. What is the second biggest value in q, y, 4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(70) + (sqrt(70) + (sqrt(70) - (sqrt(70) - (sqrt(70) + (sqrt(70) - sqrt(70)*-3)))))*4 - sqrt(70)) + sqrt(70))\/sqrt(10))**2.\nAnswer: 4375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4010 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of 5\/3*r**3 - 1 - 5*r + 1\/4*r**4 + r**2. Is j(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7303784363?\nAnswer: 149, 49018687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 - 8*k**2 - 9*k - 8. Calculate the remainder when 51 is divided by y(-7).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n**5\/4 - 9*n**4\/2 - 3*n**3\/4 + 18*n**2 - 12*n = 0 for n.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 + 287 + 1)*1. What is the third derivative of -h + 291 + 11*g**3 + 12*g**2 wrt g?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkvteeee. What is prob of sequence tte?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 103065537 to the power of 1\/3, to the nearest integer?\nAnswer: 469","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + 26 - 78. What is the remainder when 114 is divided by a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 + 2302734?\nAnswer: 2302728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-378)\/21*(-1760)\/495.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-46)\/(-112) + (-4)\/32. Suppose 0 = b + 3*b + 8. Let g be -1*8\/6 - b. Is g != z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o - 6. Let t be i(5). Suppose -t*w - 7 = 3*l, l + 4*w - 3*w = -1. Let a(g) = -g + 1. Let d(b) = 3*b - 2. Let r(s) = -4*a(s) - d(s). Determine r(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (19 - 23)*5\/(-950). Which is the third smallest value? (a) -0.5 (b) v (c) -3 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -7 + (21 - (3 - -8)) - 20?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 1\/212 (c) 2\/7 (d) -12 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 127855373 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 840 and 735.\nAnswer: 5880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.46 + -18.54. Let d = t - -15. Suppose -3*o = -3 + 12. Which is the third biggest value? (a) 6\/7 (b) o (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n - 6. Let o be l(22). Suppose 179 = -5*m - 4*p, 3*m + 2*p = p - 113. Let h = m - o. What is the remainder when 32 is divided by h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70083625\/(-75)*8\/((-80)\/6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -18*q - 4 + 6*q - 23*q + 4*q. Is n(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 9 + 12*y + 5 - 38*y**3 - 16*y - 11 as v + p*y**2 + d*y + b*y**3 and give b.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2299540 and 13.789064.\nAnswer: 2299553.789064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.278 - 0.078. Let k = 0.051 - -0.949. Which is the nearest to 1? (a) k (b) 3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*f + 47 + 22 - 15*f.\nAnswer: 7*f + 69","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1565864688.7315 - 1564354100.84150016. Let o = 1510588 - b. Let x = 0.11 - o. What is x rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the second derivative of 21\/2*u**2 + 0*u**4 + 0*u**3 - 26*u + 0 + 3\/20*u**5. What is the derivative of h(v) wrt v?\nAnswer: 9*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19830188*y**3 + 2*y**2 + 100295423*y wrt y.\nAnswer: -118981128*y + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25939 + -25938. Is f greater than or equal to -2168?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/2 in -0.4, 0.2, 34, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*d - 23*d - 5*y = 4, 3*y = 3*d. Which is smaller: 13\/773 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1094\/(-35555) + 13\/((-1690)\/2856)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 230 (b) -12 (c) -0.12 (d) 22\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -804 - -809. Let u be (-10)\/(-6) - 10\/15. Let z be u\/4 + (-4)\/16. Solve -s*y - 12 = -3*k, y - 3*y = z for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kknhkfknfkk. Give prob of sequence nn.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) 2\/11 (c) -5179\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -493357\/2, -1\/4, 5 in descending order.\nAnswer: 5, -1\/4, -493357\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2375097239 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 + 6*n**2 + 6*n + 3. Let x be v(7). Which is the third smallest value? (a) x (b) -0.3 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -40\/116651521 and -0.1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -31*a**2 + 2949*a - 392. Give c(95).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -56, -1\/4, 3301\/2, -2.\nAnswer: -56, -2, -1\/4, 3301\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rbrbrbrrrwdrdbwrbb. What is prob of sequence bdr?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of 2*w**5\/35 + 9*w**4\/14 - 2*w**3 + 11*w**2\/7 + 5925. Let h(m) = 0. Calculate m.\nAnswer: -11, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -431951747 + -448.\nAnswer: -431952195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*z - 2345867 + 2345867.\nAnswer: -21*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 312359 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -121, 3, -0.28367 in descending order.\nAnswer: 5, 3, -0.28367, -121","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (44\/825)\/2*(-37)\/(-2) and -67\/75?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55459736827 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*42563249.\nAnswer: -297942743","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = q + 104, -3*q + 0*q - 285 = -3*w. Let z be (q\/(-115))\/(1\/5). Solve 0*d = -z*s + 4*d + 32, 0 = 4*s + d - 17 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 4*u - 20. Suppose 3*n + 0*k - k = 21, -3*k - 9 = 0. Let y be t(n). Suppose 2*b = s - 17, -5*s = -y*s - 4*b - 9. Is s a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*c - 3430 = -1837. Solve 0 = -c*g + 61*g + 8 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -11722, -46047, -103246, -183313, -286242?\n\"Answer: b**3 - 11443*b**2 - 3*b - 277","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 4*t - 8 = 0, -16 = -5*t + t for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 56 = 13*a, 3*a + 39 = -b + 51 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of 13*d**5\/30 + 3*d**2 - 4*d. Let t(b) = 2*b**2. Calculate y(t(u)).\nAnswer: 104*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*s**4 - 193*s**3 - 554*s**2 + 7955297*s wrt s?\nAnswer: -144*s**2 - 1158*s - 1108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 + m**2 - m + 1. Let k(b) = b**2 - 15*b + 29. Let o be k(13). Let a(r) = r**2 - o + 3 + 3 - 2. Give -a(u) + d(u).\nAnswer: u**3 - u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - z = 4*z - 730, 1493 = -2*l - z. Is l >= -746?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h + 23. Let m be n(-22). Calculate the greatest common divisor of m and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 144417\/159800 - 172\/1175. Find the common denominator of p and 84\/44 + 1\/(-2).\nAnswer: 1496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-8)*(69\/92)\/(6\/64)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 237774.\nAnswer: 2, 3, 23, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + 8*n**2 + 2*n - 14. Let g be i(8). Suppose 10*y - g*y - 248 = 0. List the prime factors of y.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19788106*g**3 - 9*g**2 - 121942*g wrt g.\nAnswer: 118728636","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 2*f - 12, -389*f + 388*f - 6 = 3*k. Solve k = -4*q - 4*h - 266 + 238, -5*h - 10 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -48 + 113*h**2 + 61*h - 112*h**2 + 46 as j + v*h**2 + f*h and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-4*sqrt(588))\/(2*sqrt(576)).\nAnswer: -4 - 7*sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 6*j**3 - 42*j**2 - 4347*j + 30417. Give a(7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(495)*1 - sqrt(550)\/(sqrt(20)\/sqrt(2)))\/(-2*sqrt(275) - (sqrt(495)\/sqrt(5) + sqrt(11)))*3*-5.\nAnswer: 15*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 167, 326, 483, 638, 791?\nAnswer: 942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 - 23*r + 389. What is s(30)?\nAnswer: 599","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*c - 72*c + 136 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1347028684?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 58 - 57.5. Put a, 5, 0.1, -5 in increasing order.\nAnswer: -5, 0.1, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 111 divide 2806?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -61575 divided by 15?\nAnswer: -4105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**2 - 1 - 49*l + 93*l - 42*l)*(-8*l**2 + 24*l**2 + 31*l**2).\nAnswer: 94*l**4 + 94*l**3 - 47*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r - 3*r + 0*r)*(-24058*r + 24131*r - 2*r**4 - r**4 + 2) + (-r**3 - 2 + 2)*(2*r - 2*r + r**2).\nAnswer: 5*r**5 - 146*r**2 - 4*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65 + 25*j**2 + 180 - 57 - 300*j - 64 + 301*j.\nAnswer: 25*j**2 + j - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -484*h**3 - 65*h + 231*h**3 + 222*h**3.\nAnswer: -31*h**3 - 65*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 34495 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -245 = 144*s + 11 + 176. Let b(t) = -14*t + 22. Give b(s).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1583?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 2*l - 30 = 4, q + 10 = l for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -3*n**3 + n**2 + 4*n + 2. Let l be i(-3). Suppose -4*j = -r + 12 - 61, 0 = -5*j + 5*r + l. Is j a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2 + 2541*i - 5094.\nAnswer: 3*(i - 2)*(i + 849)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1222157 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*u**5 + 33845590*u**4 - u**3 - 2*u**2 - 74240374*u wrt u.\nAnswer: 120*u**2 + 812294160*u - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 15*y**3 + 16*y**2 - 7. Let l(k) = 68*k**3 + 65*k**2 + k - 29. Let x(b) = -2*l(b) + 9*m(b). Calculate x(14).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1206 (base 11) in base 15?\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 156*s**3 - 20*s**2 + 3*s**3 + 8*s**2 - 37*s**2 + 285*s**3 wrt s?\nAnswer: 2664","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, g: 1, v: 1, i: 1, c: 3}. What is prob of sequence cgc?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 not equal to -11.18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-34650)\/(-124740)*(-1)\/(-35)*-2*2.\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + -1)\/(9 - 10). Suppose 5*o - 85 + 30 = v. What is the greatest common factor of 22 and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 + 6*i**2 + 4*i + 5. What is the remainder when t(6) is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/(-9))\/((-1)\/3). Suppose -4*h - 4*b = 0, -3 = 4*h - h + 4*b. Solve -2*a = -3*k + v, h = -3*k + 5*k + a for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/1058 bigger than 10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31, -65, -169, -379, -731, -1261, -2005?\nAnswer: -2999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-16)\/(-3))\/4*18. Let l = -23 + m. What is the units digit of (-295)\/(-20) + l\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 - (-19 - 18 - -25)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-2\/11)\/z*(z\/((z\/z**(1\/9))\/z))\/z*z*z**(-1\/10)*z*z**(2\/15)*z assuming z is positive.\nAnswer: z**(1943\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -13*t - 2. Let c(w) = 4*w + 1. Determine 7*c(m) + 2*o(m).\nAnswer: 2*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 PM and 2:33 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -530, -940, -1362, -1796?\n\"Answer: -6*q**2 - 392*q - 132","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of -h**3\/3 - 23*h**2\/2 - 19*h + 16. Let l be t(-22). Solve -l = 2*i + 3 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 + (-38)\/4)*-4. Suppose v = 2*v - a. Does 18 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -33 - -37. Let x = -12\/17 + 70\/51. What is the second smallest value in -3\/7, u, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10436*i**2 - 7939*i?\nAnswer: 20872","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -3*m**3 - 8*m**2 + 28*m + 90. Let i be u(-3). Let w = 18 - -57. What is the greatest common divisor of i and w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2200 and 2838600.\nAnswer: 31224600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 660 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*y**2 - 6*y**2 + 2*y**2)*(1 - 1 - y) + 89898*y - 253*y**3 - 89898*y + (2*y - 4 + 4)*(y**2 + 0*y**2 - 3*y**2).\nAnswer: -255*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 21275461 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-13)\/65 + 12\/10. Suppose -2*l = 3*x + x + 2254, -l = -d. Let y = -373 - x. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12523924?\nAnswer: 2, 7, 347, 1289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -3, -1.2159 in descending order.\nAnswer: 0.4, -1.2159, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*o - 104*o = -750. Solve o*j = -64 + 40 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/8, 46\/3, -169.\nAnswer: -169, -1\/8, 46\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyyucyjjyjuunyw. Give prob of picking 1 c and 1 n.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 49594740?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2256 + 6223. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*j - 240*j - 130 = -124*j for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -526234 + 291994. Round c to the nearest ten thousand.\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((32\/5)\/2)\/(37\/(18130\/(-49)))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2031420221 (base 5) to base 6\nAnswer: -225213501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54880?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 156240216421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4\/3, -4, -10, -33?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 1, o: 1, f: 7, e: 4, q: 5, x: 1}. What is prob of picking 1 e, 1 o, and 1 i?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -155523*10.\nAnswer: -1555230","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*t + 7 + 23. Suppose -q = -t*q - 20. Let m be (-104)\/q + 36\/(-45). Solve -2*u - 3*x - 14 = -6*x, -m = -5*x for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-14)\/(-21) + (-4)\/(-3). Suppose -4*l + 15 = -l, 2*l - 4 = y*v. Suppose -4 = -2*o - v*b, 3*o = -0*o - 5*b + 6. Put o, 5, -4 in ascending order.\nAnswer: -4, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 68244.28mg?\nAnswer: 0.06824428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 311.46 + -3.46. Let p = v + -308.03. Suppose -2*d = 3*d - 20. Which is bigger: p or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 506\/23 - 19 - 91. Which is greater: l or -146?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10*y - 96 + 71 - 4*y**2 + 6*y - 19*y to the form s*y + n*y**2 + v and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 3*m**3 + 3*m**2 - 1. Let j(n) = n**3 - n**2 - 1. Give -j(i) + y(i).\nAnswer: 2*i**3 + 4*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 69481 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 34598389 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -36, 0.2, -1\/5.\nAnswer: -36, -1\/5, -0.1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**2 - r**2 + 0*r**2)*(0*r**2 + r**2 + 0*r**2) + 5*r**4 - 5*r**2 + 5*r**2.\nAnswer: 7*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -630624, -1261255, -1891886, -2522517, -3153148, -3783779?\nAnswer: -4414410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 3 (c) -10631 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.7 or 517?\nAnswer: 517","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24127.\nAnswer: 23, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3744 and 7416.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 58\/(-87)*6\/4. Is i + 7 + 986 + -1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1001 + -3?\nAnswer: 443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 7, 1 in increasing order.\nAnswer: -5, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -4*i. Let a be c(1). Let h = a - -13. Calculate the smallest common multiple of h and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 16 = 2*o. Let n = o + 236. Let k = -117 + n. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the first derivative of -p**6\/6 + 193*p**5\/5 - 383*p**4\/4 + 191*p**3\/3 + 2554. Factor n(v).\nAnswer: -v**2*(v - 191)*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1026, 2056, 3086?\n\"Answer: 1030*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(66)*-5*-6)\/(-1*sqrt(6)*-5 - (sqrt(6) + sqrt(294)*-1)).\nAnswer: 30*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from epx. Give prob of picking 1 p and 1 x.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1.3 and 33861.1613.\nAnswer: 33859.8613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/3206276 and -76\/2404707?\nAnswer: 9618828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 49547 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/x**(-5\/2))\/(x*(x**(-1\/12)*x)\/x))**(-1\/13)\/(((x**(2\/7)*x*x)\/x)**(-38))**(-1\/14) assuming x is positive.\nAnswer: x**(-28783\/7644)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s = 10 - 15 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.546 rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3\/10)\/(a\/(a\/a**(-6\/5))))\/(a\/((a\/((a\/a**(2\/19))\/a))\/a)*a*a\/a**6) assuming a is positive.\nAnswer: a**(761\/190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 3*t + 4 = -0*c, 0 = c - t - 7. Solve 0 = -3*n + 2*z - 5, 0 = 2*n - c*z + 1 - 5 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 8\/567?\nAnswer: 8\/567","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 4:15 PM?\nAnswer: 4:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7 and -0.2260728?\nAnswer: -1.5825096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*f**3*h**3*j**3 - f**3*h**2*j**3 - 852*h**3*j**3 + 364*h**2*j**3 - h**2*j wrt h?\nAnswer: 12*f**3*j**3 - 5112*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 31284 and 1061148?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 2*b = -i - 65, 162 = 2*i + 4*b. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 183368048 by -4.\nAnswer: -45842012","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-37 + 19 - 11)*(3*m + m**2 - 3 + 4*m**2 + 4) to p*m + y + d*m**2 and give y.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -57 divided by 232344\nAnswer: -19\/77448","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.4 + -3.4. Which is the fourth biggest value? (a) -4 (b) s (c) 4 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90381.\nAnswer: 3, 47, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004633829497 to 7 decimal places.\nAnswer: 0.0004634","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.8 or -5617?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2*n**2)*(n + 3 - 3) - 8 + 8 - 3*n**3 + (-2*n**2 + 3*n**2 + n**2)*(-2*n + 2*n + 2*n).\nAnswer: 3*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 88457 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -15887, -31934, -47979, -64022, -80063, -96102, -112139?\n\"Answer: i**2 - 16050*i + 162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/2182950 and 61\/62475?\nAnswer: 37110150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (1 + 0) - (17 + -16)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, h: 1, z: 2, d: 7, s: 1, e: 2}. Give prob of sequence zd.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23 and 667?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24182141 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 128\/(-10)*(-23610)\/(-6296).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, -1, -7.\nAnswer: -7, -5, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 3 g when four letters picked without replacement from pezfgpeepppmpgeg?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 633 is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 50 + 134. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 PM and 5:24 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1098 - -1097.95708. What is d rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of -z**4\/2 + 2*z**3\/3 + 2*z**2 - 2*z. Let a(q) = 5*q**2 - 3*q - 3. Calculate -4*a(f) - 3*k(f).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4477.59 kilometers to millimeters.\nAnswer: 4477590000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21983808?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = 1197*o - 2388*o + 1195*o for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 95223, 95269, 95345, 95451, 95587?\nAnswer: 95753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 23367065 divided by 4673413?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-12))\/c**19*(c\/(c*c\/((c\/(c*c**(-4\/17)))\/c)*c))\/c*(c*c\/(c**(-1\/12)*c))\/c assuming c is positive.\nAnswer: c**(-1975\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2161106 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i - 1 + 1)*(3 - 2 - 5)*(-24 - 78 + 3).\nAnswer: -1584*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92 = 7*b - 223. Suppose -3*i - 2*i - 2*x = -b, 30 = 5*i - x. What is the remainder when 12 is divided by i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 76 and 5624?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -82*h**3 + 6*h**2 + 13*h + 7363. Let b(f) = 166*f**3 - 10*f**2 - 33*f - 14726. Let n(z) = -2*b(z) - 5*y(z). Differentiate n(x) with respect to x.\nAnswer: 234*x**2 - 20*x + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -64 - -34. Let c be 6\/b + 22\/10. Let d = -1 + c. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223862 to the power of 1\/3, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -88586 times 19\nAnswer: -1683134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 7 = 3*m + 3*u, 4*m + 2*u = 16. Suppose -4*c = 6*c. Suppose 2*s - 6 + 0 = -m*d, c = d. Solve s*z + 0 = -15 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-7) + 514\/14 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6648 + -2815. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 4*z - 119, -h - 89 = -5*z + 44. Suppose -5*x = 25, -x = 5*n - 95 - 140. Calculate the remainder when n is divided by z.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1267 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*v - q - 22, -1528*v + 0 = -1523*v - 3*q + 4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1080) - -6*1*sqrt(1080)) + sqrt(1080) + sqrt(1080) - sqrt(1080) - sqrt(1080)) + sqrt(1080))\/(sqrt(250) + (sqrt(250) + -2*sqrt(250))*4).\nAnswer: -16*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*u - 5*o, -2*u = u + o + 1. Suppose -3*x = -0*x - 12. Let i be (-4)\/(-64)*25 - x\/2. Which is smaller: i or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (84\/(-105))\/(2\/60). Let b = u - -17. Put 0, b, 3 in increasing order.\nAnswer: b, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 to the power of 1\/2, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 76685 = 8*p - y, 5*y = p - 25543. What is the thousands digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-86)\/(-4) - 12)\/(2 - 0 - 1). Let j(w) be the first derivative of -9*w - d*w**2 + 22. Differentiate j(m) wrt m.\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**27*n**(3\/14) assuming n is positive.\nAnswer: n**(381\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -176\/15837 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + 5 - (-8)\/(2512\/(-938)). Let t = o - -296\/1413. Let w = 44 + -351\/8. What is the closest to 1 in t, 0.1, w?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 2985789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + 1 + sqrt(1539))*-6 + 3 + -4)**2.\nAnswer: -1836*sqrt(19) + 55693","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 4*v = -2*v - 32, 3*n + 2*v + 28 = 0. Suppose 4 = 4*y + 2*h + 10, 0 = -2*y - 4*h. List the prime factors of (-145)\/n + 1\/y.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 25 = -5*g + p, 50*g + 34*g = 102*g - 5*p - 12 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(20)\/(-4*sqrt(4)*2))**2 + -1 + 2 + sqrt(60)\/(sqrt(12) - sqrt(192)).\nAnswer: -sqrt(5)\/3 + 59\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(6*(2 + (0 + sqrt(108) - sqrt(108)) + 1 + (sqrt(108) + sqrt(108) + -2 + sqrt(108) - sqrt(108))))**2*-2.\nAnswer: 6912*sqrt(3) + 124704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -6. Let i(h) = 8*h + 446. What is 6*f(r) + i(r)?\nAnswer: 8*r + 410","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1149 is divided by 104?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1413*r**3 + 17389*r**2 - 17389*r**2.\nAnswer: -1413*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 423620 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 16*s**2 + 34*s + 19. Let i(h) = -3*h**2 - 7*h - 4. Let v(p) = 2*g(p) + 11*i(p). Determine v(-8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of c**6\/3 + c**4\/4 + 34*c**2 - 68*c. What is the derivative of i(q) wrt q?\nAnswer: 40*q**3 + 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*g = -5*w - 70*g + 2, 0 = -w + g + 1 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 + 19 = 6*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 128 = -3*k. Let f be k\/(-10) + 8\/20. What is the units digit of 2\/6 + (-100)\/f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33180410*a**2 + 33180375*a**2 - 66360713*a**2.\nAnswer: 72*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 25*s + 67. Let r(h) = -13*h - 35. Give 4*i(v) + 7*r(v).\nAnswer: 9*v + 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 14498?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 5, r: 2, h: 1, k: 2, m: 2, c: 1}. What is prob of picking 1 h, 1 r, and 1 c?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1688*s**2 + 1709*s**2 - 14868*s - 14872*s - 14868*s + 44608*s.\nAnswer: 3397*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 106*c**2 - 9*c - 10. Let n be m(-8). Suppose 4*t + d - 6856 = -3*d, 4*t - n = -2*d. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v + 74. What are the prime factors of z(0)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqaqwfqqnnfn. Give prob of picking 2 q and 1 n.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -73*t**2 + 5077*t - 5077*t in the form f + u*t + m*t**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25 + -127\/5. Let h = -275 - -274. Which is the closest to h? (a) 1 (b) -0.5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 579*q + 25 = 584*q. Solve 4*s + 2 = -3*x - q, 0 = -4*x + 4*s for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 1)*(n**3 + 0*n**3 + 0*n**3) - 762 + 88*n**3 + 762.\nAnswer: 91*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 - 14*p**2 + 34*p - 7. Let c be g(11). Solve c*n + n = -15 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -123938345 divided by 5?\nAnswer: -24787669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**4 + 5*c**4 - 6*c**4)*(3*c - 2*c - 2*c) - c**5 + 3 - 3.\nAnswer: c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(100)\/sqrt(5)*2 + sqrt(20))\/(sqrt(40)*-2).\nAnswer: -3*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3395, -7012, -10629, -14246, -17863, -21480?\nAnswer: -25097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 8*k - 692 = 0. Let b = k + -343. Solve 0 - 14\/9*a**b - 2\/3*a**4 - 2\/9*a - 10\/9*a**2 = 0.\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12 + 0\/4 + -3. Let x(l) = l**3 - 11*l**2 + 21*l - 22. Let r be x(g). Suppose -q + r = 2. Solve -q*t = -4*t - 4 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-150)\/(-5)*2\/(-4). Let b = v + 25. What is the highest common factor of b and 90?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23444 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**10*r**25*(r**(-3\/2))**(-2\/15) assuming r is positive.\nAnswer: r**(176\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 347027490 to the power of 1\/5, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together 312001073 and -1.5092.\nAnswer: 312001071.4908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, 5, 3\/2, 3, 1\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, p: 1, t: 1, a: 3, g: 4, f: 1}. What is prob of picking 3 a?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.241 - 230.459. Let d = -233 - x. Suppose 2*u + 1 = 3*u. What is the closest to 1 in u, d, 5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-11 - (-9 - 8)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 15 (b) 3\/1888 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -2. Let g be (1 + 2)*j\/1. Suppose 2*i + 6 = 0, -15 = 3*q - 3*i + 8*i. Solve q = n - g for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -258, -515, -774, -1035?\nAnswer: -1298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 + 4*z**2 + 4*z. Suppose -2*m + j = -2*j + 2, 4*m - 5*j = 0. Let r be f(m). Let x = r - -11. Calculate the smallest common multiple of x and 9.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.6388 and 5?\nAnswer: 3.194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 384?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**3 - 14154240*v**2 + 28308495*v - 14154250.\nAnswer: -5*(v - 1)**2*(v + 2830850)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2275 in -2, 36.5, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 38 + -13. Suppose -4 = y*g - 27*g. Solve -k + g = 6 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -132 - 5*j + 132 in the form p + f*j and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -31780, -31779, -31778, -31777, -31776, -31775?\n\"Answer: z - 31781","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1425*m*z**3 + m*z**2 - 3916*m*z + 2*m + 21473*z**3 - 2*z**2 - 4*z wrt z?\nAnswer: 8550*m + 128838","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + s = -16. Let o(m) = 11*m - 17. Let w be o(13). Let p be (-10)\/(-35) + (-64)\/w. What is the nearest to -1\/2 in 5, s, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 12*r - 62. Let s be q(6). Let z be ((-6)\/s)\/((-1)\/(-5)). Let n be (-2 - -3 - z) + -4. Solve n = 11*d - 6*d + 25 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20 and 79835.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3105\/3465 + (-4)\/22)*105\/12?\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.3 - 139335.2.\nAnswer: -139336.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3877821 by 93.\nAnswer: 41697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.8 - 0.8. Let q = -14 + 14.1. What is the biggest value in q, -0.5, k?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -381 in 8\/5, 4, -1.3, 1, -5, 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3, 172, 471, 894, 1441?\n\"Answer: 62*g**2 - 11*g - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*i - 137 - 39. Let c be (19 + -22)\/((-6)\/i). Solve -c*x = -4*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 + 52*o**2 + 230*o + 6396. Calculate k(-50).\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 8, 3*f - 2*v = 4*f + 85. Let a = f - -76. Let d(q) = -2*q**3 - 24*q**2 - q - 8. Does 49 divide d(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 3*m = -m - 74, -v = 5*m - 80. Let l be ((-14)\/42)\/(v\/36 + -2). Is -1*(12\/l - 981) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11198*s**2 - 22343*s**2 + 11135*s**2.\nAnswer: -10*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 5*n**2. Suppose 3*z + 0*o - 21 = -o, -4*z + 15 = -3*o. Let v(i) = i + 7*i - z*i - i. What is v(m(u))?\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - (-13 - (-4 + -4))) + -62 + -4?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 250383 and -0.7?\nAnswer: 250383.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 0 - 0 - (-81 - -86)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 160 = -18*s + 38*s. Let v(q) = q + 5. Let f be v(-6). Let o be 20\/f*(-1 + 0). What is the highest common factor of o and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 21 in 10\/3, 1, -3, -0.3?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1764 - 1764 + 164*y**2.\nAnswer: 164*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s + 1. Let h(t) = 4*t + 2. Let f(k) = -8*g(k) + 4*h(k). Does 7 divide f(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -134 < -105?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + -8 + (-30)\/(-5) + 2570. What is j rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -6. Suppose -t*z - 25 = -90. Suppose x - 3 = z. What is the remainder when 30 is divided by x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.45 + 1.35. Let l = -1.75 + y. Which is the nearest to l? (a) -1\/3 (b) 3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 + 183*h**2 + 5195*h + 2130. What is d(-148)?\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6734997\/116 + -58061. What is the common denominator of o and ((-6)\/21)\/((-16)\/(-268))?\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 + t**2 + 14*t - 6. Let d be f(4). Let l = d + 12. Suppose l*u = 5*u + 378. Calculate the remainder when u is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 74 times 0.2?\nAnswer: 14.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 156\/7 + -664\/21. Let z = j + 9. Let p = 0.001 + -0.201. Which is the nearest to p? (a) 4 (b) -2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 2*w - a, 12 - 44 = -5*w + 2*a. Let b = w - 12. Calculate the remainder when 25 is divided by (-3)\/b*(1 + 17).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2236, 2238, 2240, 2242, 2244?\n\"Answer: 2*v + 2234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 4*q + 77227 = 0, -5*m + 111625 = q - 274605. What is the ten thousands digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 6\/11 (c) 2\/65 (d) 1.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (8*40\/192)\/(10\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w**(-1\/2))**13)**(-4\/41))**(1\/71))**(-7) assuming w is positive.\nAnswer: w**(-182\/2911)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 2820, 4, 2, -3, -4 in decreasing order.\nAnswer: 2820, 4, 2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17 and 461108?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 t when four letters picked without replacement from tttttttttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*y + 0 + 0 - 2*y**2 + (2 + y - 2)*((300 - 390 - 451)*(-10 + 4*y + 10) - y - 2*y + y) to p + t*y + n*y**2 and give n.\nAnswer: -2168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence anb when three letters picked without replacement from bvbbbtnbbbrbbannn.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 6676 (c) -0.1 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(10\/405*1). Let k = -53 - r. Suppose -4*m = -h - 1 + 12, -2*m = 4*h + k. What is the second smallest value in -0.2, m, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 - 2*q**2 + 2. Let a be z(1). Let s(w) be the second derivative of 5999*w**4\/12 + w**2\/2 - w. Let g be s(a). Round g to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9554835?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + a + 8. What is the units digit of 16 - 1 - (4 - a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*q**2 - 33*q**2 - 24*q**2 + 71*q**2.\nAnswer: -19*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 74 - 53. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 2. Suppose 0 = z - 4*w + 1 + 5, -2*w - 6 = 4*z. Let y(i) = -i**2 + i + 1. Calculate z*y(f) + 2*r(f).\nAnswer: 2*f**2 - 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 670 - 615. What is the remainder when 106 is divided by w?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2507 and 218.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.362 * -4.\nAnswer: -13.448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-12)\/(-30) + (-8)\/(-5). Suppose 0 = -y*f - 4*b - 10, 3*f - 3*b + 4 = 25. Let r = f - 0. Solve -2*d + z - r = d, -7 = 2*d + z for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 784 (base 11) to base 3.\nAnswer: 1021210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 PM and 2:04 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -27*z - 394164 + 393246 for z.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - x = 0. Let a(d) = -3*d + d + x*d. Give a(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - z = 26, -4*z + 16 = -2*m + 6*m. Solve -5*w = -m*l + l - 23, -l - w = -1 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*x - 47 + 61. Sort -185, x, 5.\nAnswer: -185, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 9) to base 11.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of y**6\/120 + y**5\/20 + 6*y**2. Find o, given that x(o) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = l - 5, -66 = -5*v - 5*l - 46 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -9477 divided by -13?\nAnswer: 729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.004591991 rounded to 7 decimal places?\nAnswer: -0.004592","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1724*z - 1719*z - 85 = -8*s - 3, 0 = 4*s - 5*z - 26 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -70?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 197*h - 52*h = -159*h - 298*h + 45752 for h.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 + 58. What is the highest common factor of c and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - 2)\/(-7 - -12).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 138.065 + -138. Let z = o + 0.405. What is z rounded to two decimal places?\nAnswer: 0.47","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -219 + 392. Is x a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 21*f - 4*f + 0*f. Let l(h) = 4*h. Let c(v) = -5*v. Suppose -i - 18 = -7*i. Let a(y) = i*c(y) + 4*l(y). Give a(s(j)).\nAnswer: 17*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 550 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 1417*b + 973. Is j(34) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -6755363894590 and 4?\nAnswer: 6755363894594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6.17 - -5.97. Is h not equal to -60?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-130)\/(-39))\/(2\/(-3)))\/1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l - 3*l - l)*(6 + 3 + 6)*(-8*l + 0*l + 0*l).\nAnswer: 120*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24839.\nAnswer: 59, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2137*v**2 - 718*v**2 - 715*v**2 - 706*v**2.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 6 = 3*r. Let j be r\/(-4) + 780\/16. Suppose 0 = 5*w - j - 97. List the prime factors of w.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 5065 = -5*k, -41*j + 46*j + 2005 = 2*k. Calculate the greatest common factor of 63 and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-5*sqrt(720))\/(sqrt(90) - sqrt(90)*3 - sqrt(90)).\nAnswer: -20*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + a + 19 = 0, -63*a - 175 = 66*a - 164*a for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 32*h**2 - 39*h.\nAnswer: 64","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -433\/3 - -13799\/96. What is the common denominator of 53\/14 and s?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36 + 4*o - 27 + 10 - 3*o - 4 to the form b + j*o and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - -7 - (-23 + (78 - 57)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1184)\/(-2220)*((-4)\/((-4)\/(-1)) - -11). Determine s, given that -4\/3 + 8\/3*s**4 - 14\/3*s + o*s**3 - 2*s**2 = 0.\nAnswer: -2, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3, -4, -13, -24, -37, -52, -69?\n\"Answer: -p**2 - 4*p + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/31 in -1\/10, -1, 113, 38?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 216872?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3 - ((1 - -2) + 32). Let p(x) = x**3 - 13*x**2 - 2*x - 8. Let v be p(13). Which is smaller: g or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/648)\/((-190)\/30)*4\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1585414266 to the nearest integer?\nAnswer: 1166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 54 - 84. Let b be (-3)\/t + (-24)\/(-16) - -1. Solve -5*s + 1 = 5*w + 16, b*s + 13 = -w for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 23287?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 241392 and 820048.\nAnswer: 1712","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -217 = -3*v - 199. Suppose 5*j - 8*j + v = 0. What is the hundreds digit of -17 - -123 - 2\/((-2)\/j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 370*c + 2293 = 73 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*b**3 - 38*b**3 + 2*b**3.\nAnswer: -31*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ezzzzeemeeezeeeqe. What is prob of sequence zq?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/5 + (37 - (-2106)\/(-54))?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32 - 13 + 2)*(4*w - 5*w + 2*w).\nAnswer: -43*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(272) + ((0 + sqrt(272) - sqrt(272)) + 5)**2)*1.\nAnswer: 4*sqrt(17) + 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 3830, 3762, 3652, 3494, 3282?\n\"Answer: -g**3 - 15*g**2 - 16*g + 3862","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 203159998?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y + 1615 = 255. Sort 5, 0, y in descending order.\nAnswer: y, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -339*a - 5*f = -341*a - 8, 4*a + 16 = -2*f for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-8)\/48)\/(28\/24). What is the fourth smallest value in -2\/5, 3\/32, -2\/7, d?\nAnswer: 3\/32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -189 + 717. What is the hundreds digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 160 and 224.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of 2\/5*n**5 + 0*n + 0*n**2 - 4\/9*n**3 + 2 + 1\/6*n**4. Determine g, given that w(g) = 0.\nAnswer: -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 23455, 23122, 22789, 22456, 22123?\n\"Answer: -333*r + 23788","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 + 28. Suppose 4*r - 62 = 3*r. What is the common denominator of -67\/22 and ((-2)\/o)\/((-1)\/r)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -7*m**3 + 3*m**2 - 39*m - 47. Let f(g) = 3*g**3 - g**2 + 20*g + 24. Let p(r) = -9*f(r) - 4*o(r). Factor p(q).\nAnswer: (q - 7)*(q + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3884 divided by 3884.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 37\/5 of a micrometer?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.489354 to 3 dps.\nAnswer: -1.489","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*q**4 + 2*q**3 + 101734*q**2 - 3270898*q wrt q?\nAnswer: -24*q**2 + 12*q + 203468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 887.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.858 + -3.87. Let w = -0.88 - -1.272. Let r = w + x. What is r rounded to one dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 41021331 + -30?\nAnswer: 41021301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 230, 227, 224, 221, 218, 215?\nAnswer: 212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 26a + -66?\nAnswer: 204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(2\/3))**(1\/6)\/((o**(3\/4)\/o)\/(o*o**(-2)*o)))**(-26) assuming o is positive.\nAnswer: o**(-169\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l - 7*l + 3 = 0. Which is the closest to -1? (a) l (b) 1\/2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 707 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -2*v + 648. Is v a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2190 divide 654945780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3835 - 3782. What is the remainder when 571 is divided by m?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1122 + 10010022?\nAnswer: 10001200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2 (b) 91 (c) -0.9 (d) -3 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 0*h**3 + 2*h**3 - 10 - 17*h + 2*h**3 - 17*h**2 - 5*h**3. Let j be z(-16). Let d(f) = f**2 - 5*f - 2. Let u be d(j). Solve 0 = 7*g - 3*g + u for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -922*z**3 + 12278 - 909*z**3 - 12278 + 1829*z**3.\nAnswer: -2*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1893 is divided by 225?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*q*r**4 - 195*q*r**3 + 5375*q*r**2 + q*r + 2*r**4 + 46*r**3 + 7*r**2 wrt r.\nAnswer: -72*q*r - 1170*q + 48*r + 276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 35*l + 2 - 13*l + 16*l. Let t(v) = 2*v**2. Give t(i(b)).\nAnswer: 2888*b**2 + 304*b + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.302 - 0.121222?\nAnswer: 0.180778","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c - 5. Let l(w) = 1. Let n(f) = l(f) + v(f). Let d be 9 + -13 + (-48)\/(-3). Suppose d = -2*x + 4*x. Calculate n(x).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -9*z**3 - 3021*z**2 + 12*z - 5. Let t(h) = 13*h**3 + 4531*h**2 - 17*h + 7. Determine -7*o(u) - 5*t(u).\nAnswer: -2*u**3 - 1508*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13506232?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - -19293?\nAnswer: 19297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of f**3\/3 + f**2 - 68. Suppose 4*w + 12 = w. Let k = -6 - w. Let u(m) = 5*m**2 + 9*m + 1. Determine k*u(g) + 9*t(g).\nAnswer: -g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -r + 2*z, -r = -0*z - 5*z + 13. Suppose 6*f - 5*a + 2 = 2*f, -r = -a. Solve 0 = -c - 3*v - 11, -f*v - v = -4*c + 16 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5 - 2) + (-1)\/(-1). Suppose -5*s + 15 = -4*o - 1, -4 = -i*o. Find the second derivative of -3*g - 3*g**4 + 4*g**s - 3*g + 8*g**4 wrt g.\nAnswer: 108*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -70*t - 209*t + 467 - 3257 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5544.\nAnswer: 2, 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*s - 16*s + 42*s - 21*s.\nAnswer: 8*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m + 26 - 6, 3*l = -2*m - 29. What is the units digit of 276\/((-108)\/40 - (l - -4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 316*i. Let c(f) = -186*f**2 - 87*f + 2. What is c(z(y))?\nAnswer: -18573216*y**2 - 27492*y + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*z + 8202 - 8211 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 750*w - 4454*w - 218536 for w.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 AM and 4:27 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 - 2. Suppose k*a + 4 = 0, h = -3*a + 6 + 14. Suppose 2*f = -z - 3*z + 38, -z = 2*f - h. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13288.19977 rounded to the nearest one hundred?\nAnswer: 13300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26 - -191. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27913541 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 8 = -4*v. What is the tens digit of 53\/5 + v\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 461 and -18985.54.\nAnswer: -18524.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1965\/575090*(-76)\/57?\nAnswer: -2\/439","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 602.\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 197 is divided by 29?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23029?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*g + g + 2*u - 6, -3*g - 5*u + 16 = 0. Suppose b + g*b - 9 = 0. Suppose 0 = -b*o - 6 + 12. Solve 2*l = 3*l - o for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*h - 363 = 38*h - 22*h + 8*h for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21 + -331003220332?\nAnswer: -331003220311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2759 - 0.5759. Which is the third smallest value? (a) 6 (b) -2\/3 (c) w (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-4)\/(-2 - 0)*2 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.4 and 45.3029447?\nAnswer: 44.9029447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6\/11 + -35\/44. Let p = 1301 - 762. Let l = 538 - p. Which is the nearest to 4? (a) n (b) 0.4 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (-37)\/(-39))*(-633)\/211.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 - o**2 + o + 631. Let k be 7\/(14\/4) + -2. Is v(k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - 2*m - m + 3*m - 2*m + 3*m + (-1 + 0 + 2)*(-2*m + 0*m + 4*m) - 3*m + m + 3*m)*(-3*m - m + m).\nAnswer: -18*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/15 of a minute in milliseconds?\nAnswer: 32000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -327*a**3*b*n**3 - 3*a**3*b - 2*a**2*b*n**3 - 1762*a**2*n**3 + 2*a*b*n**2 + a wrt a.\nAnswer: -1962*b*n**3 - 18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -71658234*f**4 - 28770*f**2 + 1146*f.\nAnswer: -1719797616*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 + 18785\/(-44) - -1. Let j = 4380\/11 + d. Find the common denominator of 3\/2 and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - 0.2. Let i(r) = 12*r + 153. Let c be i(-13). Which is smaller: c or x?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6290 + -7221. Which is smaller: c or -934?\nAnswer: -934","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) be the first derivative of -w**8\/280 + w**4\/8 - w**3\/3 + 3. Let o(j) be the third derivative of l(j). Differentiate o(g) wrt g.\nAnswer: -24*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 5 + 5. Put -3, -5, v in ascending order.\nAnswer: -5, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 - 7*i**2 - 5. Determine w(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8047623?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -i**5\/2 - 33*i**4 - 1341*i**3\/2 - 5366*i**2 - 15384*i - 10656 = 0. Calculate i.\nAnswer: -37, -12, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -14\/11*d**3 + 24\/11*d - 16\/11 + 0*d**4 + 2\/11*d**5 + 4\/11*d**2 = 0. Calculate d.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from byybyyyyyyyyyyvvyyvy. Give prob of picking 2 b.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26986.998 + 27054. Let k = 18.37 - i. Let h = 48 + k. What is h rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 14 = -2*z, -2 = 2*z - 3*t - 0 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -631 or -16371\/26?\nAnswer: -631","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, -10, -37?\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 790 divide 57380860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 52017326 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -i**5 - 123*i**4*l + 25*i**2*l - 3*i**2 - l wrt i.\nAnswer: -60*i**2 - 2952*i*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 739.489 rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 419668333?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 153 a factor of 1386333?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -853 divided by 43.\nAnswer: -853\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -30*h**3 - 5*h**2 - 3*h - 20. Let l(t) = 29*t**3 + 4*t**2 + 17. What is 5*l(u) + 4*p(u)?\nAnswer: 25*u**3 - 12*u + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -156 + 1300 + 1698*l - 4117*l + 279 wrt l.\nAnswer: -2419","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7)\/12*(-34916)\/1806 - (-4)\/18.\nAnswer: 23\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12373471.\nAnswer: 11, 23, 48907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6372 is divided by 380?\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 37581180859 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40 and 284.\nAnswer: 2840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8*((-14)\/35 - 6\/((-540)\/21)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28094, 28190, 28286, 28382?\nAnswer: 28478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -315*y + 328*y = 1768. What is the highest common factor of y and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -45, -16, -11, 71.\nAnswer: -45, -16, -11, 71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 56 + -51. What is the third derivative of -25*s**2 - 5*s**2 - 22*s**g - 7*s**5 wrt s?\nAnswer: -1740*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*g + 10. Let z be 247\/(-14) - (-3)\/21. Let o = z + 19. Which is the second smallest value? (a) o (b) g (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3.02 - -3. Let a = 1.02 + g. What is the closest to 1 in -1\/3, a, 0.4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 70 = 3*i, -4*m + 2*i + 2*i + 312 = 0. Calculate the highest common divisor of 133 and m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (8 + -5 - -15).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1000349 is divided by 1092?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 0 - 736\/(-208))\/((-29206)\/(-11167)).\nAnswer: 10\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 55*u - 77. Let v be j(3). Suppose 32 - v = -2*k. Is k a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6.136 - -0.136. What is the third smallest value in -0.2, l, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, a: 1, p: 1, v: 6}. Give prob of sequence va.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -117735721 rounded to the nearest 1000000?\nAnswer: -118000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5077*-10.\nAnswer: 50770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 6*j**2 + 6*j + 3*j**3 - 3*j**3 + j**3 + 5. Let p be 0 - 0\/(-3) - 5. Let s be x(p). What is s rounded to the nearest ten thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g**3 + 5*g**2 + 13*g + 10. Let x(a) = 42*a**3 - 10*a**2 - 26*a + 32 - 51 - 45*a**3. Let t(l) = 3*x(l) + 5*y(l). Let t(s) = 0. Calculate s.\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.4, -2, 1, -0.2 in decreasing order.\nAnswer: 1, -0.2, -2, -3.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 - 2) + (1 - -1). Sort w, -5, 3 in decreasing order.\nAnswer: 3, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 + 65 - (-7 + 30)) + -88.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -4*w + 4*w - 4*w**2. Let i(y) = -y**2. Determine i(x(k)).\nAnswer: -16*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 9*h + 4. Let q(t) = 19*t + 8. Let g(y) = 3*q(y) - 7*u(y). Let o be g(0). Put o, 2, 2\/3 in descending order.\nAnswer: 2, 2\/3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 641 divide 641000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = p + 12. Let g be p\/(4\/6 - 1). Suppose -n + g = -23. 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 the thousands digit of 3003?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26111?\nAnswer: 26111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8022 and 27357694.\nAnswer: 2674","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1271c (base 16) in base 11?\nAnswer: 51840","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 37 in 0.1, -4, -11?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 211 - 189. Suppose 5*p - d = 3250, q*p - 624 = 21*p - 5*d. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 4*y - 3*p, 3*p = -2*y - 0*y - 2. Suppose y*b - 391 = -k + 167, -5*b - 2*k = -556. Calculate the highest common factor of 168 and b.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:03 AM and 5:27 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 875214509.\nAnswer: 13, 1871, 35983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from erreeeee. Give prob of picking 1 e and 2 r.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 - -22. Suppose -r + 17 = b, -3 = -r - 2*b + x. Suppose 3*u - 4*d - 97 = -r, 0 = -2*u + 2*d + 48. Is 21 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -391 + 11.521777?\nAnswer: -379.478223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v + 1. Let l be d(-2). Let s = -2 + l. Let p(t) = -t**3 - 6*t**2 - t - 5. Let f be p(-6). Solve 2*m - 4 = -y, m - f - 6 = -s*y for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0046195566 to 5 dps.\nAnswer: -0.00462","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 80*n**3 - 11*n**2 + 4*n - 6. List the prime factors of i(3).\nAnswer: 3, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of -a**6\/120 + a**5\/20 - 3*a**2\/2 + 3. Let v(h) be the second derivative of w(h). Find the third derivative of v(u) wrt u.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y = -9*y + 5. Suppose 2*j + 5*h - 7 = 0, 3*j - 5*h + 1 = -1. Let v(i) = -j - y*i + 2*i + 2*i. Determine v(4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2457622 and 8815?\nAnswer: 12288110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - (1 - (-6 + 5) - 5)) + -13.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(40) + sqrt(160)\/(sqrt(4)*-3))\/(sqrt(24)\/(sqrt(15)\/sqrt(5))) + -5 + 5 + 3 + sqrt(5)*1 + 0)**2.\nAnswer: 10*sqrt(5) + 206\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 19182 to the power of 1\/2, to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 + 11. Let h be 7 + (6 - (-11 - -34)). Is j greater than or equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*o, -4*j + o + 9 = -2*j. What are the prime factors of 11 + 1 - 0\/j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -44.6 + 40.4. Let k = 64.8 - 72. Let v = k - j. Put 0, v, -5 in increasing order.\nAnswer: -5, v, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 39*h**2 + 7 + 3*h + 37*h**2 - 1 - 78*h**2 + 2*h to v*h + f*h**2 + w and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 26929027 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17\/136)\/((6\/9)\/2).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in one quarter of a second?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3\/10 - -1\/10. Let n be ((-4)\/(-14))\/((-15)\/(-6)). Let c = 2\/5 - n. Is q smaller than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109 = -3*y + 2*y. Let d = 153 + y. List the prime factors of d.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 33.08 and 987456?\nAnswer: 987422.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*c - 143*c**2 + 3*c + 73*c**2 - 3 + 71*c**2 to the form z*c**2 + o + j*c and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 3255, 3266, 3291, 3336, 3407, 3510?\n\"Answer: a**3 + a**2 + a + 3252","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-860)\/(-40))\/((-2)\/4). Let q = t + 45. Let s = -3.9 - 0.1. Which is the second biggest value? (a) q (b) 1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, t: 3, u: 2}. What is prob of sequence ttp?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 5*r - 18, -3 = 12*b - 8*b - 5*r. Solve 25 = -b*p + 2*k, 4*k + 1 = -5*p - 4 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1436985.\nAnswer: 3, 5, 11, 2903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (57\/1368)\/(3\/(-12))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 64 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/18*-3 + 0 + -1. Let y = 43 - 47. Which is the third biggest value? (a) 3 (b) -2 (c) y (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.3 + 3.34. Let y = f - 0.04. Suppose 2*z + 15 = -5*a, -3*z + 9 = -0*z - 3*a. Are z and y unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 204485?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12311\/4874 - 63\/2437. Factor a*i - 5\/2*i**2 + 5.\nAnswer: -5*(i - 2)*(i + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(5*(-24)\/(-80))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(352))\/(sqrt(33)\/sqrt(48)))**2.\nAnswer: 8192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = -o, b - 3*o - 72050 + 72026 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = 8*x + 4*s, 5*x + 3*s - 9*s + s - 55 = 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -2*v**4\/13 + 2480*v**3\/13 + 879236*v**2\/13 + 6911824*v\/13 + 12889470\/13 = 0.\nAnswer: -281, -5, -3, 1529","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 259 a factor of 25727?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sx when two letters picked without replacement from ssssssxssssss?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 4*y - 1905. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 3*m + 3. Let t be k(-6). Let i = t + 17. Suppose -p = i*p - r - 7, 0 = -4*p + 3*r + 6. Solve -5*g - 4*w + 6 + 27 = 0, 0 = p*w - 6 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 38 = -k, -5*d + 190 = -313*k + 312*k. Solve 8*c = -94 + d for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0 + 0)*((-1 - 4 + 4)*(5*k - 2*k + 0*k) - 13*k + 33*k - 22*k - 43) to the form l*k + j and give j.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3898825.\nAnswer: 5, 7, 22279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of 2*f - 1\/40*f**5 - 1\/6*f**3 - 1\/8*f**4 + 0*f**2 + 0. Factor i(c).\nAnswer: -c*(c + 1)*(c + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 1. Let d(b) = 3*b + 37. Determine d(k) + z(k).\nAnswer: 3*k + 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g**2 + 6*g - 6. Let h(s) = -4*s**2 - 11*s + 11. Suppose 9*j + 8 = -10. Let l(k) = 8*k + 10. Let q be l(j). Determine q*h(x) - 11*c(x).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 46.937 + -47. Let r = 0.163 + j. Which is the third biggest value? (a) -13 (b) -0.3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 1 - y**2 + 5*y**2 + 4 - 2*y. Let n(c) = c**3 + 4*c**2 - 29*c - 15. Let g be n(4). Calculate the remainder when v(g) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 + 488?\nAnswer: 546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41 - 69 + 29 = 81*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.443079 hours to nanoseconds.\nAnswer: 1595084400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - -95?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 46500000 rounded to the nearest 1000000?\nAnswer: 47000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3 + -0.7. Let q = 0 - m. Let n = 1.9 - 0.9. Which is the closest to q? (a) 4 (b) -0.4 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j**5\/7 - 110*j**4\/7 + 7074*j**3\/7 + 334*j**2\/7 - 20984*j\/7 - 14136\/7 = 0. Calculate j.\nAnswer: -93, -1, 2, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 44 divide (-2)\/1 + (9369 - 15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = o - 4*o. Suppose -d = r - 0*r - o, -5*r = -20. Sort d, 6, -4.\nAnswer: -4, d, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -11\/5, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**3 - y**3 + 5*y**3 + (-1 + 0 + 3)*(0*y**3 - y**3 - y**3) - 6981*y**3 + 147*y**2 + 6983*y**3 + 231*y**2.\nAnswer: y**3 + 378*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9131932555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as -3\/8317304?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3704, -3704, -3700, -3692, -3680?\nAnswer: -3664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -21710 or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 32 + -28. Let u(f) be the third derivative of -f**2 + 0*f + 2\/3*f**3 - 7\/12*f**k + 0 - 3\/10*f**5. Factor u(h).\nAnswer: -2*(h + 1)*(9*h - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 192*z - 1092 - 192*z + z**2 as n + f*z + w*z**2 and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 9, -0.1, 25, 1.9, -4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9 - -5. Let p = -17.5 + 18. Let u be 2*-2 + 30\/8. What is the nearest to u in p, -2, d?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -161352.3524 to the nearest ten.\nAnswer: -161350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + 2 - 2)*(55*c**2 + 3 - 98*c**2 + 56*c**2).\nAnswer: -13*c**3 - 3*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, m: 1, v: 1, r: 1, a: 1}. What is prob of picking 2 z and 2 m?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 AM and 8:48 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 93*i**3*n**3 + 3*i**3 + i + 2*n**4 wrt n?\nAnswer: 279*i**3*n**2 + 8*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a**2 + 19*a**4 - a - 1 - 17*a**4 + 0*a to v*a**3 + u*a + z + b*a**2 + s*a**4 and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6253 + 6253.1. Is x bigger than 48\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353023313 to the power of 1\/2, to the nearest integer?\nAnswer: 18789","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -3514*d - 12. Let l be g(-8). What is l rounded to the nearest 1000?\nAnswer: 28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17.4 - -17. Put 0.5, z, 1\/4 in increasing order.\nAnswer: z, 1\/4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -111, -132, -167, -216?\nAnswer: -279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that 2*a**5 + 131*a**4\/2 + 451*a**3\/2 + 467*a**2\/2 + 85*a\/2 - 29 = 0.\nAnswer: -29, -2, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/30*5*-1. Are -2\/17 and j nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 142768 and 53538.\nAnswer: 428304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 821831.6 nanograms?\nAnswer: 0.0008218316","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1906\/6 - 2\/(-6).\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 111513?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**2 + 6*j**2 - j**2 - j**2 + 3*j**2 + 0*j**2 + (-3*j + 4*j + j)*(-2*j + 2 - 2) + 21*j**2 + 24*j**2 - 31*j**2.\nAnswer: 15*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -2*p**2. Let t(b) = 41*b. Let o(v) = -4*v. Let w(z) = 5*o(z) - t(z). What is f(w(m))?\nAnswer: -7442*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 705025 is divided by 70487.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 284328393?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(95) + -1*sqrt(95) + sqrt(95))*-5 - sqrt(95))\/sqrt(5))**2.\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c**5 + 3*c**4 - 3*c**4)*(-1 - 1 - 3) - c**5 - c**5 + 5*c**5.\nAnswer: -12*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 + 6*v**2 + 3*v + 2. Let w be r(6). What is the common denominator of -73\/2 and (8\/w)\/(4\/395)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11798817 is divided by 183?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 9. Suppose -2*m - 6 = -y, y = -2*m + 4 - 2. Let w be (2 - m) + -10 + 2. Which is the second smallest value? (a) -4 (b) r (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 - 145 - 2*n**3 - 4*n**2 + 2*n**2 to the form p*n**2 + s*n + l + d*n**3 and give l.\nAnswer: -153","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6352919, 12705832, 19058745, 25411658, 31764571, 38117484?\nAnswer: 44470397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k = 541 + 1174. What are the prime factors of k?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lglgglgggggggl. What is prob of sequence gg?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/6 (b) -15 (c) -0.3551 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 275 or 276?\nAnswer: 276","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tututtvu. What is prob of sequence tv?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 2*p + 428 = 0, -4*p = 5*v - 80 - 354. Suppose -2*c + c + v = 2*h, 3*c - 3*h = 231. Is 16 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + -9 + 9 + -10.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 3) + (3 - 0) + 1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 86061112*h**2*p**2 + h - 61*p**2 + 547624*p + 2 wrt h?\nAnswer: 172122224*h*p**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-1)*82\/(-3895)*171?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 PM and 7:00 AM?\nAnswer: 585","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 7. Suppose -4 = -r*q + 38. What is the greatest common factor of q and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5910, 6 in decreasing order.\nAnswer: 5910, 6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeeceeeeeeeeeeeeee. What is prob of picking 2 e?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 19*c**2 - c. Let i be (-10 + 4)*(-16)\/(-6) + -3. Let p = 21 + i. Suppose p*a = -y + 3, 0 = -a - a + 3*y - 1. Give v(a).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 7*i + 3. Let b be y(1). Let q be (-132)\/(-20) - (-4)\/b. Solve -19 = -3*n - q for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 77331198 and 1120742.\nAnswer: 77331198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 36 + -5. Let g be 7*(2 - 2\/7). Let y = g + -1. Calculate the remainder when o is divided by y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1526909 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -45 - -71. Suppose 0 = 5*v - 2*p - 0*p - f, 3*p + 17 = 2*v. Let i = 4 - 3. Solve -l = -v - i for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (31 - (-3186)\/(-324)) + (-2)\/12?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -16, -2\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 4*y**3 + 79*y**2 - 20*y + 3. Let g be m(-20). Which is the second smallest value? (a) g (b) -1 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*c = -2*c - 11242. List the prime factors of c.\nAnswer: 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of -17*z**2 - 753. Let i(q) = -32*q**2. What is h(i(u))?\nAnswer: 1088*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the third derivative of -3*k**4\/8 - 3*k**3\/2 - 3*k**2. Let a(j) = -3*j - 3. Let o(n) = -7*a(n) + 2*u(n). What is the first derivative of o(v) wrt v?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-73)\/(8541\/(-78))*(-9)\/(-42).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o + 11498 - 1114 = 0. Suppose -3*k + 4*m = -3801, -2*k + o + 1590 = 3*m. What are the prime factors of k?\nAnswer: 7, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 0 - -10) + (8 - (-5 - -20)) - -22.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 58019?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11746, -23504, -35264, -47026, -58790, -70556, -82324?\nAnswer: -94094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 39470? (a) -0.3 (b) -1 (c) -143\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -173, -335, -501, -677, -869?\nAnswer: -1083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1074, 3230, 6824, 11856, 18326, 26234, 35580?\n\"Answer: 719*i**2 - i + 356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 + 10. Let x(y) = -y**2 - 2*y - 3. Let j be x(-4). Let o = -6 - j. Which is the second biggest value? (a) -3\/7 (b) n (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -407 divided by 1?\nAnswer: -407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 27*j**2 + 1. Let t(h) = -2*h. Determine q(t(c)).\nAnswer: 108*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(2\/5)\/t*t**(-14)\/t assuming t is positive.\nAnswer: t**(-78\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -818000 to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-116 - (83 + -179)) + 26\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -52\/15? (a) -0.4 (b) 3\/5 (c) -0.5 (d) 0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1764\/3551 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1079 + 1084. Solve -3*h + s = 11 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**2\/7 + 4*n\/7 + 5\/7.\nAnswer: -(n - 5)*(n + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -4 - -10 - 10 - -1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 13 = 3*u. Let p be u\/3 + (4 - 6). Factor -1\/3*b**3 + 0*b + p*b**2 + 0.\nAnswer: -b**2*(b - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -12*y - 654. Let z be o(-58). Let h(b) = 18*b**3 + 21*b**2. Let m(p) = p**2 + p**3 + 62*p - 62*p. What is z*m(g) - 2*h(g)?\nAnswer: 6*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d**2 - 8*d + 3. Let w be s(-8). Suppose 3*o = -w*h - 15, -4*h = 40*o - 45*o - 16. Which is smaller: h or -0.047?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -28 - 4*c - 2*c**4 - c**2 + 61 - 32 in the form f + t*c**2 + a*c**4 + n*c**3 + k*c and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 o when two letters picked without replacement from xjvxxoxxj.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19917, 79732, 179451, 319080, 498625, 718092, 977487?\nAnswer: 1276816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + u + 64 = -7*x, 16 = -x - u. Let b be (-774)\/x - 24\/64. Calculate the greatest common factor of b and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -451 + 450. Is w less than or equal to 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 75754825361 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-13208)\/(-39))\/((-20)\/(-66)). Let d = 1526 + -412. Let b = j - d. Which is bigger: 5 or b?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -96 + 111. Suppose -d = -4*r + 15, g = -d - 4*r + 40. Solve 0*f = -f + 4*n + 1, d*f + 2*n = 27 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(95)*1)\/sqrt(5) - (3 + sqrt(76)).\nAnswer: -sqrt(19) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 2*r + 301916 = 0, -446*b + 5*r = -442*b - 603841. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) -3 (c) 2 (d) 14\/3 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.3 and -0.0742.\nAnswer: -0.17066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 57 - -112. What is the greatest common divisor of 13 and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-40)\/16 - 77\/(-14)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 252 and 17304?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2275, -2292, -2315, -2344, -2379?\nAnswer: -2420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 13*c**3 - 9*c**2 - 70. Let b(s) = -2*s**2. Let a(r) = -5*b(r) + t(r). Find the first derivative of a(z) wrt z.\nAnswer: 39*z**2 + 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g + 32. Let j be q(16). Suppose -3*b - 2 = u + 1, j = 4*b + 8. Solve 0 = 3*n - 2*n - u for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1991953 rounded to the nearest 100000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 450922726?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 8:19 AM?\nAnswer: 11:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6609?\nAnswer: 3, 2203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**2 - 448*m - 7331. What is z(-17)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 207*h - 207*h - h**3 + 188.\nAnswer: -h**3 + 188","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -255 - -260. Which is the closest to 1? (a) x (b) 4\/3 (c) -31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1338*q**5 - 3*q**4 + q**3 + 3*q + 41064 wrt q.\nAnswer: 26760*q**3 - 36*q**2 + 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z - 2. Let q(n) = n - 6. Let g(h) be the third derivative of h**4\/24 - 5*h**3\/6 + 2*h**2. Let f(p) = -6*g(p) + 5*q(p). Give -4*f(v) + s(v).\nAnswer: 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -472*k + 907 + 290 = 4973 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33\/33)\/(4\/(-20)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 - 3*j**2 + j - 4. Let a be s(3). Let p = -7.3 + -1.7. Let x = p + 12. What is the third biggest value in a, -0.3, x?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -224616*h. Let l(q) = -q. What is x(l(v))?\nAnswer: 224616*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = 3 - 7 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.03105*-1850.\nAnswer: 57.4425","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of -2*b**5\/15 - b**4 + 32*b**3\/9 + 538. Let h(o) = 0. What is o?\nAnswer: -8, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 12. Let a(c) = 9*c - 18 + 19*c**2 - 4*c - 6*c + c**3. What is the remainder when z is divided by a(-19)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3965 and 445300.\nAnswer: 5788900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16112 - 16093. Solve -g + 53 = -y + 48, -5*g + 3*y = -q for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5b2 (base 14) to base 10.\nAnswer: -1136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the second derivative of 25*i**3\/6 - 90*i**2 - 21*i. Let q be y(9). What is the greatest common divisor of q and 315?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*v + 6*v - 4*a - 53 = 0, -36 = 3*v + a. Let k(o) = -2*o**3 - 21*o**2 - 42*o - 8. What is the tens digit of k(v)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*t + 234 = 10. Which is smaller: t or -9?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 861 (base 10) to base 11\nAnswer: 713","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -8779322 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -198, -217, -238, -261, -286, -313?\nAnswer: -342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 - 12*w**2 - 4*w + 2. Let z be n(12). Suppose -2144 - 1321 = 77*c. Is z smaller than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -386 divided by 5.\nAnswer: -386\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 326.\nAnswer: 5\/326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2755 times 0.056?\nAnswer: 154.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x**3 - 40 - 146*x - 137*x + 268*x - 9*x**2. Let l be m(-10). What is the highest common factor of l and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -11711*j + 925206. Determine r(79).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 446021.\nAnswer: 577, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 323*r**3 + 4*r**2 + 2*r. Let i be v(-1). Let k = 543 + i. List the prime factors of k.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -13*s. Determine a(2).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2304\/90)\/32*45\/9*2\/18.\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Is 5563460 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2102, -84 in descending order.\nAnswer: 2102, -1, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -4*h**2 - 4*h + 2. Determine l(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1 from 0.00263554.\nAnswer: -0.99736446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.95 != -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 3*u - 8 = 7, 0 = 2*m + 5*u - 17. Let p be (-333)\/m*12000\/9. Round p to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4088, -4306, -4920, -6128, -8128, -11118?\nAnswer: -15296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 302493.6 + -2142107.6. Let m = 1839619.700074 + f. Let g = -5.7 + m. What is g rounded to five decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 6 in decreasing order.\nAnswer: 6, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cxdncyi. What is prob of sequence yi?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the first derivative of -35\/2*f**2 + 5 - 9\/4*f**4 + 0*f**3 + 0*f. What is the second derivative of q(a) wrt a?\nAnswer: -54*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 420172 is divided by 1040?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3249687 + -1763684. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 5*n**4\/3 + 146*n**3\/3 + 1261*n**2\/3 + 2704*n\/3 = 0?\nAnswer: -13, -16\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 295569 - -168728. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13912669*a**5 + 507761*a**2.\nAnswer: -834760140*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1295?\nAnswer: 5, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18958\/3689 - 2\/527. Let q = -115\/21 - k. What is the nearest to -1 in 1, -3\/4, q?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 3 + 17 - 65874*u**2 - 25.\nAnswer: -65874*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8928840 to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-51)\/(-17))\/((-3)\/1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44 and 429407.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 173*k**2 - 839*k - 1016686 wrt k?\nAnswer: 346*k - 839","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*h**2 - 15*h**2 - 3*h**2 + (-h - 2 + h + h)*(-6 + h + 6) in the form l*h**2 + a + t*h and give l.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 65, -16, 12, -3, -4 in decreasing order.\nAnswer: 65, 12, -3, -4, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**5 - 3*y**4 - 3*y**2 + 3*y - 3. Let z(u) = -u**4 + u**2 + u - 1. Let d(x) = i(x) - 3*z(x). Find the third derivative of d(m) wrt m.\nAnswer: 60*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the third derivative of -r**6\/60 - 17*r**5\/10 - 289*r**4\/4 - 4913*r**3\/3 - 73*r**2. Let g(a) = 0. Calculate a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1093 = -7*i + 7946. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2*1\/4)\/1*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the third derivative of -1\/24*z**6 - 1\/60*z**5 + 0*z**3 - 1\/24*z**4 + 0 - 4*z**2 + 0*z. Calculate r(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of i**2*s*z**2 - i**2*s*z + i**2*z + 282*i*s*z**2 - i*s*z - 14*i*z**3 - 9784 wrt z.\nAnswer: 2*i**2*s + 564*i*s - 84*i*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/1481545 and -181\/2051370.\nAnswer: 26667810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u - 1. Let n(s) = 4*s + 2*s + 1 - 4*s - 4*s. Let v(t) = -3*n(t) - 4*p(t). Find the first derivative of v(k) wrt k.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 2572\/5 + (54\/45)\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qpbv when four letters picked without replacement from fvzqbvpp?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32560?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12769 by -3991.\nAnswer: -12769\/3991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 - 5*d - 14*d + 21*d + 4 + 0 in the form i*d + p and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 29*c**4 - 5*c**3 - 5*c**2 + 5*c + 16. Let j(z) = -29*z**4 + 6*z**3 + 6*z**2 - 6*z - 16. Let d(p) = 6*g(p) + 5*j(p). Differentiate d(w) wrt w.\nAnswer: 116*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -391.34700334 + -0.64842666. Let o = z - -392. Round o to four dps.\nAnswer: 0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26255 to the power of 1\/3, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-10)*(-1750)\/(-125)?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**3\/7 - 62*p**2\/7 + 130*p\/7 - 66\/7 = 0. What is p?\nAnswer: -33, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 3 v when four letters picked without replacement from xxvssvvvxxsvdvxxss.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -7*j - 17. Let o be m(-7). What is the second derivative of -63 + 63 + o*k**4 + 46*k wrt k?\nAnswer: 384*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 + 13*u - 5210. Let c be p(-79). Solve -3*g - c*y = 11, -63*y = -4*g - 64*y - 19 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -170669.79 rounded to the nearest one hundred thousand?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.6, 4\/9, -23, 0 in increasing order.\nAnswer: -23, -0.6, 0, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3730958 to the nearest integer?\nAnswer: 1932","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108*r + 46*r + 55*r + 12*r.\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(2*sqrt(66)*3)\/sqrt(6).\nAnswer: 18*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -116*u**4 - 63338*u**3 + 3330428*u**2 + 14389472*u + 247104 = 0. What is u?\nAnswer: -594, -4, -1\/58, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -3*u**3 - 332*u**2 + 49*u - 44707. Give d(-112).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 5 = 5*a, 5*w = -5*a + 5 + 40. Solve 3*r - 4*s = w, -5*r + 3 = -5*s - 2 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of 0*z**3 + 0*z**2 + 1\/6*z**4 + 3*z + 0. Calculate the lowest common multiple of v(-1) and 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 37 + -26. Let u = -21.5 + p. Let x = u + 10. What is the second smallest value in 2, x, 2\/23?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 704803 is divided by 5805.\nAnswer: 2398","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2110 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 7*b**3 + 11*b**2 - 18*b - 23. What are the prime factors of n(10)?\nAnswer: 53, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n\/(n\/(n\/(((n**(-20)*n)\/n*n*n)\/n))))\/n)\/n)\/((n**(2\/25)\/n)\/n) assuming n is positive.\nAnswer: n**(498\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 + 8*l**2 + 13*l - 11. Let a = 16 + -7. Is c(a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**9*i\/(i*i**8))\/((((i*i**(-3\/8)*i)\/i)\/i)\/i*i*i*i**9))**(-1\/19) assuming i is positive.\nAnswer: i**(69\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/14 and 23\/273202?\nAnswer: 1912414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k - 4. Calculate m(4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 5*l**2 - 10*l + 9. Let d(r) = 2*r**2 - 5*r + 4. Let z(s) = -7*d(s) + 3*n(s). What is z(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**4\/3 + 4*m**3 - 4*m**2\/3 - 4*m.\nAnswer: 4*m*(m - 1)*(m + 1)*(m + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -11*w**3 + 8*w**3 - 9*w**2 + 2*w**3 - 16 + 8*w. Let y be c(-10). Suppose -4*d = g - 6*g + 22, 0 = 5*g + d - 7. Solve -h + g*h = y for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-10)*-8*(-20)\/4\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 0*o = 16. Let s be (o + 3)\/((-3)\/9). Let c be ((-10)\/(-15))\/((-1)\/s). Let n(y) = -y**3 - 2*y**2 + y + 1. Calculate n(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s - 4*x + 32, 0*s + 3*x = -4*s + 31. Suppose 3*q + 13 = s. Let y(d) = 13*d**2 - 4*d. Is y(q) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 4 = -3*s - 1, i = -4*s + 3. What is the third derivative of i*a**2 - 4*a**2 + 6*a**2 + a**3 wrt a?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 773277419?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -281504*b**3 - 291785 with respect to b.\nAnswer: -844512*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t + t**2 - 2 - t + t + 0*t. Let c be g(-3). Solve 0 = -w + 5 - c for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(-20) - 0 - (-13)\/65. Suppose 0 = -3*z - 5*d + 45771625, 2*d - 76286067 = -3*z - 2*z. Suppose i = -10*n - 1657215 + z. Round n to the nearest 100000.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 AM and 12:44 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -66 in 3, -2593, 1\/4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -5*v**2. Suppose -4*u + 15 = -n, 0 = -2*u + 5*u - 3. Let h(o) = -6*o + 11. Let k(d) = -d + 2. Let g(w) = n*k(w) + 2*h(w). Calculate c(g(a)).\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31783235 divided by 8305.\nAnswer: -3827","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*j + 3*j - j + (j + 0*j + 0*j)*(1 + 0 + 0) + j + 0*j - 3*j.\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.02, 3, -4, -3, 0.126 in decreasing order.\nAnswer: 3, 0.126, -0.02, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -12684 - -0.2836958\nAnswer: -12683.7163042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 - 13*f**2 + f - 9. Let g be j(13). Suppose -g*u = u - 360. Is u a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 + -5)*-2 + 52\/28?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d + d - d)*(-2*d**3 - 2*d**3 + 3*d**3) + (16*d**2 - 367*d + 367*d)*(-3*d**2 + 3*d**2 + 5*d**2).\nAnswer: 78*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 116 + (0 - -3 - 0) + 5770 + -5790.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(((-12)\/9)\/4). Let w = t + 9. Suppose 3*y - 4*j - 28 = j, -3*y - j + 34 = w. What are the prime factors of y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51353 + ((-2)\/(-3))\/(348\/(-2610))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 16*x - 27. Let i be g(3). Solve 26*z = i*z + 15 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -574 - -826. 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: What is the nearest to 0.15 in 0.2, -30.5, -6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-29 + 8*l + 29)*(2*l - 2*l + l**2) - l**3 + 4*l**3 - l**3 + 6 to y*l + r*l**3 + d*l**2 + g and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 308*k**2 - 592*k**2 + 286*k**2. Let x(j) = -1585*j. Determine y(x(o)).\nAnswer: 5024450*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -28 - -54. Let d = b + -6. Let k be d\/(-25)*10\/(-4). What is the highest common factor of k and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 79*r + 3*r - 135*r + (-1 + 5 + 0)*(-1 + r + 1) - 2*r - r + r.\nAnswer: -51*r + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -44572643, -89145333, -133718023, -178290713, -222863403, -267436093?\n\"Answer: -44572690*v + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - w**2 + 5)*(w**2 + 1 - 1).\nAnswer: -w**4 + 8*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3\/9 + 34*h**2\/3 + 928*h\/9 - 608.\nAnswer: 2*(h - 4)*(h + 19)*(h + 36)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - -2) + (-29)\/(1073\/(-592)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-196)\/(-350))\/14*1600\/256)\/((-2)\/1032).\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -71, -1427, -3?\nAnswer: -71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.4, -1\/2, -3\/4, 161 in decreasing order.\nAnswer: 161, 1, -0.4, -1\/2, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + -0.1. Let n = -5466.04 - -5631. Let m = 165 - n. Which is the nearest to 0? (a) w (b) m (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1304683\/25964 - 2\/6491. Let g = -120 + 70. Let h = g - d. Which is the second biggest value? (a) -5 (b) h (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2, -14, -38, -74?\n\"Answer: -6*j**2 + 6*j - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/(-66))\/((-1820)\/(-110) + -16)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/236? (a) 1\/3 (b) 0.1 (c) 6 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 183971813 to the nearest integer?\nAnswer: 13564","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.5098108 years?\nAnswer: 0.005098108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(3\/11)\/((k*k**(3\/2))\/k)*k\/k**(-22)*k**(-2\/9)*k assuming k is positive.\nAnswer: k**(4465\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 11*d**3 - 5*d**2 - 19*d + 32. Suppose 4*t = 5*p + 54, -2*t - t - 5*p = -23. Is q(t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 937207 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 28*y**3 + 2*y**2 - y + 1. Let c be w(1). Let m = c + -54. Let i = m + 9. Which is smaller: i or 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - 19. What is the common denominator of 71\/8 and 6\/9 + 262\/n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 + 42*n**2 - 55*n + 311. What is the units digit of t(-43)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(85) - sqrt(85)*-1)*2)\/(sqrt(5) - -1*sqrt(5)*-6) + 1*(sqrt(612)*-1 + 4).\nAnswer: -34*sqrt(17)\/5 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 8574.848 meters?\nAnswer: 8574848000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 54917748?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 462*r - 450*r = 2*k - 4, -5*k + 0*k + 10 = 5*r for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -23d4 (base 15) to base 10\nAnswer: -7624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1195 + 1208. Find the common denominator of t and 37\/302.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -49 - -49.000041. What is i rounded to five dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146 is divided by 22?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 5 - 2. Let c(s) = s**3 - 4*s**2 + 2*s + 3. Let t be c(a). Solve k + k + 4 = t for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 534\/(-890) - 16\/15\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13*30\/1495)\/(78\/(-52)).\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 4*s + 12, 4*c = -3*s + s + 20. Suppose 2*b - 6 = s*o, -8*b + 3*b - 3*o = -31. Let p(m) = m**2 - 10*m + 7. Calculate p(b).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 523 is divided by 390.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 4468 divided by 2\nAnswer: 2234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.4, -4\/7, -1.6, -6, -1\/4, -0.016?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10413122?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, 13 in increasing order.\nAnswer: -2, 4, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5279 + -5384.57. What is g rounded to zero decimal places?\nAnswer: -106","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 458201*s**3 + 458203*s**3 - 916409*s**3.\nAnswer: -5*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 970107329?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-1) - (9 + -13). Suppose 0 = -2*b + v*b - 837. What are the prime factors of b?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the third derivative of n**6\/240 + 4*n**5\/15 + 16*n**4\/3 - n**2 - 43*n. Factor t(k).\nAnswer: k*(k + 16)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 39*x**2. Calculate a(-1).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*j = 19*j - 11. Put 5, 8, j, 3 in decreasing order.\nAnswer: 8, 5, 3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 13*g - 62. Let z be w(8). Calculate the highest common divisor of 126 and z.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eokeekzkeeeof. What is prob of picking 1 k, 1 o, and 1 z?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of c**3*p**4 + 9*c**3*p**3 - 2*c**3 - 61*c**2*p**2 + 70*c*p**3 - 50 wrt p.\nAnswer: 24*c**3*p + 54*c**3 + 420*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 497038983 to the nearest integer?\nAnswer: 22294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 - 5*n**2 + 2*n - 9. Let a be v(-6). Let t = 3 + a. What is the smallest common multiple of 2 and t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91*f + 2*f**3 - 91*f - 2.\nAnswer: 2*f**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(220) + sqrt(220))\/sqrt(11))\/(-6*(sqrt(10) + sqrt(40))) + -1.\nAnswer: -1 - sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -23*n**2 - 8*n - 17. Let s(w) = 8*w**2 + 3*w + 6. Determine 6*f(k) + 17*s(k).\nAnswer: -2*k**2 + 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, o: 2, d: 3, h: 6}. What is prob of picking 2 o, 1 k, and 1 d?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (5 - 7) + (-2)\/(-2) - 0. Let x be -6*(6\/4)\/3 + f. Which is smaller: -6 or x?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 16*r**2 - 458*r + 316. Determine k(28).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*r = 5*g + 50, -4*g + 38 = -23*r + 28*r for r.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wsdsxxxxxxxxwxww. What is prob of sequence sw?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*g + 84 + 510 = 55*g for g.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 - 7*p**2 + 1724*p + 5191. Calculate c(-3).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 + 17*o + 18. Let c be b(-1). What is the second derivative of -43*v**4 - 24*v + 1 + 20*v + c - 48*v**4 - 2 wrt v?\nAnswer: -1092*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 44 + -22. Suppose -4*r + 103 = 27. Suppose 0 = -y*w + r*w + 15. Solve w*u + 0*u - 25 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 77197?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -9647, -9720, -9789, -9848, -9891, -9912?\n\"Answer: k**3 - 4*k**2 - 68*k - 9576","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -3*w + 29. Let i(j) = j - 10. Let s(b) = -17*i(b) - 6*n(b). Calculate s(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/(-70)*1036*1175\/(-940)*4\/(-14)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 413663 (base 8) to base 4.\nAnswer: 201132303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i + 2. Let z(r) = -r - 1. Let c(n) = 8*n + 9. Let j(g) = -c(g) - 6*z(g). Suppose -24 - 81 = -232*v + 253*v. Calculate v*s(h) - 3*j(h).\nAnswer: h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 AM and 12:25 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -5*y + y - 3 + 2. Let r be m(-1). Is 2 a factor of (0\/r + 1)*5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - 6) + 6 + -4. Let n(k) = -k**2 - 6*k - 5. Let w be n(r). Suppose w*z - 2 = 34. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 8) in base 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/7 - 585\/(-35). Let x be o\/(-34) - (-13)\/18. Factor -2\/9*j + x*j**3 + 2\/9*j**4 - 2\/9*j**2 + 0.\nAnswer: 2*j*(j - 1)*(j + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/12 (b) -128\/5 (c) -6\/11 (d) -0.9 (e) 0.1 (f) -1\/2 (g) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -4*(-6078)\/24*3?\nAnswer: 3, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(208) + -2*(sqrt(208) + 0) + (2*sqrt(208) + 5)**2 + sqrt(208) - (sqrt(208) - (2*sqrt(208) + 1 + sqrt(208)) - (0 + sqrt(208) + -1))**2.\nAnswer: -1015 + 80*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -21? (a) -151 (b) -1305 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -247*u**3 + 5*u**2 + 211*u - 216. Calculate b(1).\nAnswer: -247","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 812, 1332, 2198, 3410, 4968, 6872, 9122?\n\"Answer: 173*s**2 + s + 638","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 501 (b) 4.9 (c) -9\/49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + (-5 + (6 - 0) - -6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000043216 rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 2*u = -10*u. Let l(v) = v**2 + v - 2. Let p be l(-3). Let f = -1 + 0.9. Sort f, p, u in descending order.\nAnswer: p, u, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5 and 17121.\nAnswer: 85605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -497 times 0.3\nAnswer: -149.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.26685 weeks to milliseconds.\nAnswer: 4999790880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.03 or -2\/11?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 (base 4) in base 6?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-3\/35)*a*a\/(((a*a*a*a\/a**(-28))\/a)\/a)*a**(-6)\/a**(-6\/5))**(-3\/20) assuming a is positive.\nAnswer: a**(837\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 2*n = 5*g - 3, -5*n - 4213 = g - 4196 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -4*f**2 - 1. Let y be z(1). Let l(v) = -v**2 - 8*v - 7. Let t be l(y). Suppose 6*q = 5*q + t. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 581390 divided by 2?\nAnswer: 290695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -2*t**2 + 13*t + 26. Let z be s(7). Suppose z*n = 16*n + 105. What is the remainder when 67 is divided by n?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1882, 3764, 5646?\nAnswer: 7528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 1. Let r(z) = -3 - 10*z - 10*z**2 - 16*z**2 + 25*z**2. Let w(x) = -2*n(x) - r(x). Determine w(-7).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -t + 30. Let c be ((-20)\/25)\/(1\/5) + 1. Let v = t + c. Solve v*w + 2 = -2*q - 1, 4*w + 4 = -q for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 84431 and 84516 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 11817 or 11814?\nAnswer: 11817","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 8, -38, 0, -48?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 162 and 72.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i + 5*w + 122 - 345, -3*w = 6. Is i a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 2*z, -4*g - 23 = z - 38. Factor 5\/4*m**g + 0*m + 5\/4*m**2 + 0.\nAnswer: 5*m**2*(m + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1878, 2, 235, 9 in increasing order.\nAnswer: 2, 9, 235, 1878","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -4*p + 3. Let i be y(0). Which is the closest to 0? (a) -2\/5 (b) -9 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20751, 20752, 20755, 20760, 20767, 20776, 20787?\nAnswer: 20800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 238 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -34\/39081 and -149\/11166?\nAnswer: 78162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10570 - 13651*b + 6830*b + 6823*b to the form i + z*b and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 370?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2041 (base 9) in base 6?\nAnswer: 10531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 315*a + 291*a = -392*a - 78842 for a.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = 5*r + 26, -22 = 4*g - 1116*r + 1119*r for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes after 9:55 PM?\nAnswer: 8:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/4 and (-7*70\/196)\/((-4)\/(-11)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**4 - 8*o**3 + 13*o**2 - 4*o. Let z(i) = i**3 - i**2. Let w(n) = -5*j(n) - 30*z(n). Factor w(y).\nAnswer: 5*y*(y - 1)**2*(y + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/8*(-418)\/(-95))\/(-1)?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*j - k - 5, -5*j + 91*k - 92*k + 30 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 71\/42 + -4\/21. Let p = 1.06 - 5.36. Let c = p - 1.7. Put -3\/5, q, c in descending order.\nAnswer: q, -3\/5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 65788\/3 + -21915. Calculate the common denominator of 85\/1372 and p.\nAnswer: 4116","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 575.\nAnswer: 4600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3424850 and 220.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2 plus 0.0171227181?\nAnswer: -1.1828772819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gx when two letters picked without replacement from {f: 1, e: 6, x: 2, g: 1, h: 3}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**2)**(-28))**(9\/4)\/(((t\/((t**(1\/2)*t)\/t))\/t)**(-16)*t**5\/(t**(-3)\/t)) assuming t is positive.\nAnswer: t**46","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of o**2\/2 - 2*o + 2. Let p be u(5). Factor 2*y - y**4 + 0*y - y**p - y + y**2.\nAnswer: -y*(y - 1)*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -c**3*d + 4860221*c**2*d - 1794415*d wrt c?\nAnswer: -3*c**2*d + 9720442*c*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 575*l**2. Let w(g) = g. Determine w(y(i)).\nAnswer: 575*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 693025 divided by 317\nAnswer: 693025\/317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*r + 36*r - 884 + 0*r + 882 + 5*r + 27*r**2.\nAnswer: 27*r**2 + 52*r - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 + 6*n + 3. Suppose 0 = -3*k, 2*g + 6 = 4*k + 2. Give q(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7748333 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17488732 is divided by 172?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 959*q + 3968 = -1025*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/5 of a week?\nAnswer: 6048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -762825 or -762723?\nAnswer: -762723","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2b605 (base 12) in base 3?\nAnswer: -10010011012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 361081412?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x - 5. Let a be g(5). Suppose a = -c + 1 + 18. What is the remainder when 36 is divided by c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 5 = -p, -3*m = 3*p - 2*m - 15. Suppose -p*i + 3 = -4*i. Find the second derivative of i*x**5 - 4*x - x + x**5 + 2*x wrt x.\nAnswer: 80*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1b3 + 4?\nAnswer: 1b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.0802 - -65.0198. Let w = f + -65. Let d = -185 + 1667\/9. What is the second biggest value in d, w, 2\/5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-3\/10))**(-48)\/(l\/l**(-1\/3))**(-35))**(-33) assuming l is positive.\nAnswer: l**(-10076\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g*(g*g*g**1)\/g)*g)\/g)**(2\/11))**(-3\/14)\/((g**(-1))**12*((g**(-3\/7)\/g)\/g)\/g**(-1\/3)) assuming g is positive.\nAnswer: g**(3274\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-5 + sqrt(3)*-2).\nAnswer: 6*sqrt(3) + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*q = 48 + 9. Suppose 5 = x - 3*p + p, 0 = -q*x + p + 20. Let g(v) = -v**3 + 8*v**2 - 6*v - 4. Calculate g(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/805766481?\nAnswer: 1\/805766481","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -103822458 + 129.\nAnswer: -103822329","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -29986101 - -5.303?\nAnswer: -29986095.697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 22*g**2. Let j(d) = -10601*d. Calculate j(m(f)).\nAnswer: -233222*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9348 and 399.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1806065369 to the nearest integer?\nAnswer: 1218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 56436 (base 8) to base 14\nAnswer: 898a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppxp when four letters picked without replacement from pxpppppppppp?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x + 11*x + 21 = 10*x. Let -16\/13*d**x - 2\/13*d**4 - 12\/13*d**2 - 50\/13 + 80\/13*d = 0. What is d?\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**16)\/z*z*z**25 assuming z is positive.\nAnswer: z**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 174*s**2 - 123?\nAnswer: 348*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1833 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1323 is divided by 1214.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 145 - 137 + 437 + 149 + 2*w.\nAnswer: 2*w + 594","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 b, 1 h, and 1 m when four letters picked without replacement from oohhbhhbbhhhmhhbhmh?\nAnswer: 44\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of k**4 + k**3\/6 - 2*k. Let n be i(1). Let v(t) = -7*t - 2. Let s(g) = 3 + 15*g + 1 + 0. What is n*v(a) + 6*s(a)?\nAnswer: -a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/936 and -25\/191672.\nAnswer: 1725048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 110*k**2 + 595*k - 45. Let p(t) = -5*t**2 - 27*t + 2. Let l(b) = 45*p(b) + 2*u(b). Find x such that l(x) = 0.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29d3de (base 15) in base 7?\nAnswer: -23106455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*i = -105*i + 36*i + 645. Let j(z) = 2*z**2 - 3*z + 2. Suppose 2*c - 13 = -3*c + o, 0 = -4*o - 12. Let k be j(c). Is k less than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -3*m + 4*q, 0 = 5*m + 2*q + q + 2. Suppose 22*c + 617 = -353*c + 3242. What is the smallest common multiple of m and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyd when three letters picked without replacement from ydyydddd?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m - 26*m**3 + m.\nAnswer: -26*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -50 - -53. Suppose t - 20 = f*j, 5*t + 12 = 4*j + 57. Let w be (-29)\/(-9) + 12\/(-54). Solve t*u = 3*u - w*l - 1, 2*l + 3 = u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0817796554 rounded to six dps?\nAnswer: 0.08178","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*h = 59*h - 63 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 3*l - 33. Solve -17 = 5*c - f, 6*f = f - l for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/(-50)*-5)\/3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5747\/3794*1\/(-2). Let i = 2\/271 + w. Do i and -2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/120 and -7\/68840.\nAnswer: 206520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -5*(sqrt(153)*-5 + sqrt(153)) + 2*-1*sqrt(153) + 3)**2 + 3.\nAnswer: 108*sqrt(17) + 49576","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 40909?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(1900) + sqrt(1900) + (-2*sqrt(1900))**2.\nAnswer: 20*sqrt(19) + 7603","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-135)\/(-18) - 2)\/(1\/(-4)). Let g(a) = -194*a + 178. Let c(s) = -39*s + 36. Let b(p) = k*c(p) + 4*g(p). What is the derivative of b(j) wrt j?\nAnswer: 82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10 and 78383.\nAnswer: -783830","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 198257761\/696 - 284853. Find the common denominator of 127\/1218 and o.\nAnswer: 4872","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 + 9. Let z(f) = 4. Let x(j) = 2*q(j) - 5*z(j). Let r(y) = y**2 + 1. Let v(s) = 3*r(s) + x(s). What is the units digit of v(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156 = -164*t - 24*t + 4668 for t.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 29304 and 924704.\nAnswer: 8322336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 355624449403968 plus 2?\nAnswer: 355624449403970","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.391 to 1 dp.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of 2\/3*x**3 + 0*x - 1 + 0*x**2. Let b(r) = 3*r**2. Give a(b(p)).\nAnswer: 18*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -40560571 divided by -40560571\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2913 (b) -11 (c) -2\/7 (d) -9144\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 + 8.9. Let w = f + 0.082. What is w rounded to 2 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 - -36?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 + a + 44. Let o be c(0). Suppose f = 3*l - o - 0, -36 = -3*l + 3*f. Factor 6 - 20*p + 2 + 270*p**3 - 274*p**3 + l*p**2.\nAnswer: -4*(p - 2)*(p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-12)\/(-20))\/((-1)\/(-10)). Solve 5 = -k*j + j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -289 in -0.1, -1283, 4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2736 and 754861944?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**2 + q + 12. Let j be o(-3). Solve 5*p - 5 = 5*a, 4*a - 22 + 6 = j for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6666268 divided by 37\nAnswer: -6666268\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of 0*y - 1\/24*y**4 + 1\/36*y**6 - 1\/15*y**5 + 0*y**2 + 2 + 1\/9*y**3. Factor i(r).\nAnswer: r**2*(r - 2)*(r - 1)*(r + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3067\/1848 - 171\/56. Calculate the common denominator of (-46)\/(-66) + (-8)\/44 and k.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of -k**5\/120 - 5*k**3\/6 + 6*k**2. Let r(x) be the first derivative of d(x). Let h(z) = 2*z**2 + 32*z - 32*z. Give r(h(g)).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19050 and 450.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3438218 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*y + 88*y - 307472 = 0. What is the tens digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -229, -219, -199, -163, -105, -19?\nAnswer: 101","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + 26*g + 6*g)*(-92*g**2 + 17*g**2 - 51*g**2 + (2 + g - 2)*(-2*g - 4*g + 5*g)).\nAnswer: -3810*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35 - 20. Let w = 55 - t. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3200404983 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 271 is divided by 73.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*l = 4*p + 11*l - 1, 0 = -3*l - 3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 3*x - 4*s + 430, 4*x - 1664 = -2*s. Suppose -5*d + 11 = -x. What is d rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 593?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((15\/60)\/(20\/(-32)))\/(1\/(-5))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 11151 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (188\/2585*(-10)\/4)\/((-7)\/(-11)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 8*t - 5. What is the units digit of k(3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 2*n = 3*j + 23, -2*n + 2*j + 2 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8151 = -130*p + 1859. Calculate the smallest common multiple of 2299 and p.\nAnswer: 16093","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1\/189, 4, -5\/6.\nAnswer: -1, -5\/6, 1\/189, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-seven halves of a kilogram?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/4 in -2, 2\/7, 4, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 - -4 - (-2 + 3). Let n = -11 + 33. Let h be n\/99 + (-4)\/18. Solve 4*g = -5*y + 23, 2*y + 9*g - d*g - 16 = h for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/4 - (-30)\/19. Let d = 356065\/57 - 6247. Let a = d + w. Which is smaller: a or 2\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3661, -7335, -11009?\nAnswer: -14683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -49*y**2 - 2603*y + 2441. Give x(-54).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a microgram in nanograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 53 = -3*w, -6*l + 3*w + 27 = -3*l. Let c(x) = 94*x - 140. Let n be c(51). Is (1\/2)\/(l\/n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 - 5*l**2 - 8*l + 14. Let p be r(6). Suppose 0 = p*v + 4 - 2. Let m = 72 - 71.7. Which is the closest to v? (a) 5 (b) 2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - w = -0*d + 37, 0 = -3*d + 3*w + 30. Suppose -5*r = -d*r - 8, 5*r = 5*j. Let n be j\/(2\/(3 - 14\/6)). Which is smaller: 4\/5 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:23 PM and 3:28 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w**2 + 4*w + 1. Let y(l) = l. Determine -f(b) + y(b).\nAnswer: -2*b**2 - 3*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -12*w**2. Let q(b) be the second derivative of -b**5\/40 + 17*b**3\/6 + 12*b. Let u(g) be the second derivative of q(g). Determine u(c(m)).\nAnswer: 36*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -34 + 28. What is the biggest value in 0.3, h, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the second derivative of -d**4\/6 - d. Let y(p) = 14*p - 33. Let f(r) = -5*r + 12. Let s(c) = -11*f(c) - 4*y(c). Calculate g(s(q)).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -107 + -24. Suppose -2 - 10 = 3*b. What are the prime factors of m\/b - 3\/(-12)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -47*a**2 - 24*a + 3. Let v(o) = 90*o**2 + 46*o - 6. Determine -5*m(z) - 3*v(z).\nAnswer: -35*z**2 - 18*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 136625 from 187.\nAnswer: -136438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/8, -3\/4, 2\/11, 463, 7, -4\/5?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 8 - 1 + 3*s - 3. Let w be (-50)\/(-18) + 10\/45. Suppose -12 = 7*j - w*j. Calculate a(j).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*k**2 + 4*k**2 + 3*k**2 + 4*k**2 - 22*k**2.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**2 + 15. Let w be g(0). Let t be -1 + (1 - 0)\/1. Suppose 0*r - r = t. Solve 4*v + v + w = r for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -90 - -64. Let a = -14 - l. List the prime factors of a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 322.5 + -323. What is the nearest to -0.1 in w, 12.6, 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.399926 - 1.4. Round o to 5 decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 124*m - 95*m + 120*m as j + p*m and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 4*o + 1. Calculate f(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the second derivative of z**4\/60 - 113*z**3\/30 - 517*z. Factor l(f).\nAnswer: f*(f - 113)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(-15) + (-3 - (-104)\/20). Let j(n) = -3*n**2 + 2*n + 1. Give j(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*p - 18 - 18 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (2*(sqrt(12)*4 + -1 + (sqrt(36)\/sqrt(4))\/sqrt(3)*6))**2 + -3.\nAnswer: -112*sqrt(3) + 2349","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 457?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 5793516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u**2 + 4*u + 8. Suppose 0 = -5*o - 16 + 46. Give i(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 63, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 553 = 3*j, 3*j - 180 = -4*w + 260. Let u = w + -109. Solve 0*r - 2*r + 2*i = 18, 21 = -r + u*i for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 4*t + 5*s, -4*s = 4*t - 0*s. Let h be ((-1)\/3*6\/8)\/1. Put 0, t, h in increasing order.\nAnswer: h, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 227179 * -4\nAnswer: -908716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 7\/6 (b) 5 (c) 4 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3465*x**3 - 1737*x**3 - 1726*x**3.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 14*b**3 + b**2 - 3*b - 4. Give a(-1).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.66 + -0.34. Suppose 5*f = 5*p - 8*p + 509, f - 97 = p. Let o = f - 403\/4. Which is the third smallest value? (a) i (b) -5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*12\/(-544)*-4?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -310.3 and 58298?\nAnswer: 58608.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5071681*k**3 - 3*k - 889388.\nAnswer: -30430086*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*d**2 - 357 + 715 - 352 + 2*d as a*d**2 + p*d + l and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1148 - -1136. Is o at least 27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/626 and 7\/12226093?\nAnswer: 24452186","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02657 to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 156.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 60294 - 22183. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (0 - -5) - (51 - 44).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/2)\/(-2*18\/17088). Are b and 713 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3\/9 - 26*s**2\/9 + 28*s\/9.\nAnswer: -2*s*(s - 1)*(s + 14)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-665*v - 1558*v - 1792*v - 24*v)*(10 - 9 + 26).\nAnswer: -109053*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n + 2*l = -9 - 9, 5*n + 2*l - 18 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 45 + -43. Suppose -5*j - 2*b + 440 = 2*b, -a*b = -5*j + 410. Is j a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110021 - -12?\nAnswer: 110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(-21) - (-1 - 1396\/(-112)). Which is bigger: -13 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 724252 to the nearest integer?\nAnswer: 851","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 82 = -5*r, 5*r = 2*r + 5*w + 22. Solve 3*m + h - 2*h = -2, 5*m + h = -r for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0011771147 to four dps.\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 29201 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.06, 2.\nAnswer: -1, -0.06, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*k**2 - k**2 + 6*k**2 - 6*k**2 + 0*k**2.\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 7, -1\/4, -32?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 0*x - x - x + 4 + 3*x. Let p be n(-3). Suppose p - 11 = -5*r. Solve 0 = -5*q + 7 - r for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 7:39 AM?\nAnswer: 8:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1081841, 6\/5, 0.2?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/((o**(-1)\/o)\/o)*(o*o**(-2))\/o)**23 assuming o is positive.\nAnswer: o**46","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of 3*y**2\/2 + y + 3. Suppose -v - 5*f = -1, 4 = 4*v + 4*f - 9*f. Let t(p) = -p**2 + p. Determine v*k(j) - 2*t(j).\nAnswer: 2*j**2 + j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*j - 0*w - 2*w, 4*j + 4*w = -24 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 2*o = 28 - 361, -2*o = 0. Is 25 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 11*u = 27*u - 5359. Solve 244*c = u*c + 88 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -280304459, -560608921, -840913383, -1121217845, -1401522307, -1681826769?\n\"Answer: -280304462*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -8*p + 6*p + 4*u, 2*p - u = 39. Calculate the remainder when 145 is divided by p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dn when two letters picked without replacement from fsdndwwswfssssndwf.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -12 - (3 - 13)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6683689 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**4 + 3*p**4 - 2*p**4 - p**3 + p**3 + 2*p**4 + (1 - 2*p - 1)*(-p - 2*p**3 + p) + 3*p**4 + 3297*p**3 + 2*p**2 - 3297*p**3.\nAnswer: 11*p**4 + 2*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 12979 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*q - 2*q + z + 9, -5*z - 13 = 2*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -36 or 102\/5?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/100 and (-2 - 0) + 5054\/3420.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 130475?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-4))\/(((-77)\/6)\/11)\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-10\/7)\/d**(16\/9))**(3\/2) assuming d is positive.\nAnswer: d**(-101\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -5408, -5404, -5392, -5366, -5320, -5248, -5144?\n\"Answer: i**3 - 2*i**2 + 3*i - 5410","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -18.87 + -0.33. Let f = o + 2.2. Let y = f + 17.0000188. What is y rounded to six dps?\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 366220*m - 366196*m + 107 - 13.\nAnswer: 24*m + 94","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 12:02 PM?\nAnswer: 2:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-350)\/35)\/((-1)\/(-12)*-5).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-13 + 7 + -4 + 2)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-62)\/93)\/((-2)\/(-5)*-1*5)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**3 + 5*h**2 + 16*h - 5. Let x be r(7). Which is the second smallest value? (a) x (b) -0.2 (c) -2\/7 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*x**2 + 113*x - 113*x + (-2*x - 4*x + 4*x)*(2*x - x + 0*x)*(-18 - 17 + 10) in the form u*x + g + z*x**2 and give z.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 143*y + 1605 - 333*y**2 - 1605 wrt y?\nAnswer: -666","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of 281*y**4\/12 + 3301*y**3\/6 - 544*y. What is the second derivative of k(u) wrt u?\nAnswer: 562","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 145, 309, 481, 667, 873?\n\"Answer: v**3 - 2*v**2 + 163*v - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**2 + 24*z + 6. Suppose 10*w - 43*w + 1752 = 40*w. What is x(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 109 in -0.087, -1, 2, 2\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3924017 and -0.3.\nAnswer: 1177205.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add together -27.2 and -87305810038.\nAnswer: -87305810065.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -4*d**3. Let y be s(1). Put y, -5, 2 in decreasing order.\nAnswer: 2, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 3*d = -0*w - 3, 2*d - 46 = 3*w. Let g be 2\/3*(42 + -39). Is 52 a factor of ((-430)\/4)\/5*w + g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -2091*a - 125456. Give n(-60).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of -37\/24*d**4 - 6*d**2 + 0*d - 6 + 10\/3*d**3. What is the derivative of r(m) wrt m?\nAnswer: -37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4964 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.0146 times -643649\nAnswer: 9397.2754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20418954 and 30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -11 + 6 + 3 + 5 + -1. Determine f so that -6*f**3 + 8\/3 + 16\/3*f - o*f**2 = 0.\nAnswer: -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 + 4*a + 7. Let q(b) = -2*b**2 + 3*b + 2. Let m be q(3). Let i be g(m). Let d be 3\/9 - i\/(-6). Solve -6*c + c = d for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -323 + 43 = -4*o. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*i**2 - 31916*i + 31956*i - 3*i**2 to the form r*i**2 + d + b*i and give b.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -63 - -63. Solve r + z*r = -3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 minutes after 9:47 AM?\nAnswer: 12:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -178 = -81*g + 38 + 108. Let k(q) = -q - 1. Let c(o) = -4*o - 11. Let u(z) = -c(z) + 5*k(z). Let v be u(4). Is g at most as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11712 is divided by 210.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -12*x**3 - 4*x + 10. Let z be w(2). Let i = z + 660\/7. Which is the second biggest value? (a) -5\/3 (b) 5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ptntzpnpnpttptt. Give prob of sequence nzn.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of -y**6\/3 - 3*y**2\/2 - 8. Find the second derivative of x(s) wrt s.\nAnswer: -40*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*p**4 + p**4 - 2*p**4 - 2*p**3 + 2*p**3 + p**4 + (3 + 3*p**2 - 3)*(-4*p - 3*p**2 + 4*p))*(-p + 3*p + 0*p).\nAnswer: -8*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 - 18 - (-23 + 13)) + 1 + -2 + -84?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-770)\/(-42)*(-6)\/(-5). Suppose 4*x - p = 34. Calculate the greatest common divisor of 2 and x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 819 and 0.584323?\nAnswer: 478.560537","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -81232713 divided by -3.\nAnswer: 27077571","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -409*r**2 - 20*r + 1106*r**2 - 189*r**2 + 20*r.\nAnswer: 508*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -42 and -10?\nAnswer: 420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 800 - 3910 = 0. Let v = g + -1084. What is the units digit of (3\/((-9)\/v))\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -141592, -141560, -141526, -141490?\n\"Answer: f**2 + 29*f - 141622","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of m**5\/30 - 7*m**4\/12 - 5*m**3\/6 - 2*m**2 - 18. Let s(q) = -q**2 + 5*q + 2. Let d = 18 + -21. Calculate d*z(v) - 8*s(v).\nAnswer: 2*v**2 + 2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + -16 + -7 + 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + h**3 - 3 + 0)*(30*h + 3*h - 10*h).\nAnswer: 23*h**4 - 69*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10022 + -2112222200?\nAnswer: -2120002222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1410 a factor of 501237897?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -110.89191 rounded to zero decimal places?\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/600 and 17\/480.\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2362, 2382, 2402?\nAnswer: 2422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 500 and 27460.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -136 + 48. Let h = n - -48.2. Round h to the nearest integer.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in 4, -15, -1\/8, -1?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 3*v**2 - 2*v - 1. Suppose 3*k + 4 = 1. Let g be (-1)\/(-4)*4*k. Let r be o(g). Solve -w = -0 + r for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 897*z + 1869 wrt z?\nAnswer: 897","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 12:55 AM?\nAnswer: 1:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -886537299 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o**2\/4 + 10106181*o\/2 - 20212365\/4 = 0 for o.\nAnswer: -6737455, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -154\/3*d**2 + 10\/3*d - 31\/6*d**3 + 0.\nAnswer: -d*(d + 10)*(31*d - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 105 - 76 - (13 + -1)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -172 - -170 - (0 - -5).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 124 = -12. Suppose 0 = 2*w + 2*w - i. What are the prime factors of w?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 610459393 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 398284728?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 486 = 7*q + 122. Calculate the remainder when q is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 1 + 10*d**2 + 8*d**3 - 10*d**3 + d**3 + 3 - 26*d + 9. Calculate a(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 - 6*h**2 - 12*h + 5. Let k be n(8). Let l = -12 + k. Solve -r - 4*r = -l for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*r*y**3 - 28*r*y + r wrt y.\nAnswer: -42*r*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (23\/(-23))\/((7*-3)\/(-3))\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -124, -128, -126, -112, -80, -24, 62?\n\"Answer: y**3 - 3*y**2 - 2*y - 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -179, 2\/17?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1384448 and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000048348515 rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -39411, -39414, -39417, -39420?\n\"Answer: -3*c - 39408","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 270*n - 198. Let m(l) = -52*l + 39. Determine -11*m(a) - 2*u(a).\nAnswer: 32*a - 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 42*m. Let w(z) = -147*z. What is w(k(i))?\nAnswer: -6174*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 83624 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 93428801 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4081 and 4?\nAnswer: 16324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*i - 28 = 50*i + 5*u, 8*i - 92 = -4*u for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -469\/9 - -7189\/144. What is the common denominator of a and 0 - (2 - (-7415)\/(-3940))?\nAnswer: 3152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - ((4 - 6) + -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22 and 440.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 3*c = 20, 0 = 4*i - c - 5. Suppose -6 = 3*p - 5*l - 14, 3*p + 3*l = i. Let b be p\/(2 - 1\/1). Is 0 greater than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6 + (2 - -4)\/(-6). What is the second derivative of -7*p**3 - 5 + 8 - 14*p**5 - 16*p - 9*p**5 + 19*p**u wrt p?\nAnswer: -80*p**3 - 42*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 996230487, 996230486, 996230485?\nAnswer: 996230484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 269 is divided by 106?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 4807284?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2657757 to the power of 1\/2, to the nearest integer?\nAnswer: 1630","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 70312015 to the power of 1\/2, to the nearest integer?\nAnswer: 8385","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/(-15))\/(3\/(-15)). Suppose -6 = -r*m - 0. What is the nearest to -1 in 0.5, 1, m?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -64 + 1?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -35 + 37.6. Let d = 2.7 - u. Let o = -0.09999968 + d. What is o rounded to 7 decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.07 and -1968.1?\nAnswer: 137.767","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -1\/8 (b) -35 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -w - 156, 9*r - 791 = 5*w + 5*r. Let c = w + 163. Put c, 67, -3 in descending order.\nAnswer: 67, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12775, -25552, -38329, -51106, -63883?\nAnswer: -76660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(78)\/(sqrt(4)\/sqrt(2)))\/(4*sqrt(75)*1).\nAnswer: sqrt(13)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 + (5 - -1)\/1. Let l(v) = 3*v**2 - v**2 + 5*v + 0*v**2. Let s(y) be the second derivative of -y**4\/12 - y**3\/3 - 4*y. What is r*s(m) + 2*l(m)?\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*s + 0*s + 2*c = -5, -10*s - 2*c - 12 - 2 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t - 12. Let n be 4 + (-1)\/2*0. Suppose -n*r = -9 - 23. Calculate the lowest common multiple of h(r) and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 113*o**2 + 3*o + 8. Let g be y(-4). Let v = g - -3618. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 45, 3 in descending order.\nAnswer: 45, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(3) + -1) + sqrt(3) + sqrt(21)\/(sqrt(112) - sqrt(7)) + 5.\nAnswer: sqrt(3)\/3 + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -17 (base 15) to base 5\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -7*c**2 - 156. Let g(p) = -2413*p. Determine m(g(z)).\nAnswer: -40757983*z**2 - 156","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -198, 3, -1\/2, 4, -2\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ct when two letters picked without replacement from ctccrrrr?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u**3 + 34*u**2 + 73*u + 78. Calculate a(-3).\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 f when four letters picked without replacement from {f: 7, b: 4, j: 6}?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 5*v - 10 = 0, 0*j + j + 3*v + 8 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the first derivative of -c**3\/12 + 141*c**2\/2 + 283*c - 8388. Factor q(w).\nAnswer: -(w - 566)*(w + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((sqrt(84)*2 - sqrt(84)) + (sqrt(21) - (-6*1*sqrt(21) + sqrt(21) - sqrt(21))))\/(-2*sqrt(63)*-1))**2.\nAnswer: 81\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - 15*o**2 + 23*o + 96. Determine a(-16).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 92 (base 13) to base 5\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*i**4 + 2*i**2 + 2*i**3 + 1 + 57*i + 2*i**4 - 54*i as k*i**2 + j*i + n*i**4 + o*i**3 + m and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q + 1. Let c(s) = s + 1. Let n = 10 + -5. Suppose -2*a + n*a = 0. Suppose 0 = 3*b - 15, a = -2*j - 2*j - b - 11. Calculate j*c(m) + 3*i(m).\nAnswer: -m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/5)\/(18\/90). Let b(u) = u**2 - 5*u + 8. Let l be b(g). Solve -l*h + 8 = -2*c, -20 = 4*h - c + 6*c for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of -f**5\/240 - 35*f**4\/96 - 11*f**3\/4 + 361*f**2. Let s(r) = 0. Calculate r.\nAnswer: -33, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -80 - -79.51. Let g = 72682420 + -72682420.48999839. Let b = g - k. Round b to seven dps.\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**2 + 116*d - 528.\nAnswer: 4*(d - 4)*(d + 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 3*z**2 + 11*z - 150. Does 55 divide b(-33)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-5 + (3 - (-4 - 2))).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 198 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 108435 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 + 1 - o**2 + 3*o + o - 5*o. Let u(x) = 2*x**3 - 10*x**2 + x - 2. Let j(y) = -u(y) - w(y). What is the units digit of j(11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43397*-18.7.\nAnswer: 811523.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*i - 10 + 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 + 5*o**2 - o + 6. Let p be ((-2)\/(-4))\/((-1)\/(-10)). Let b be g(p). What is the derivative of -2 + 0 + 6*w**2 - 4*w**2 - b wrt w?\nAnswer: 4*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 509 bigger than -6242?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/522 and 137\/72?\nAnswer: 2088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 take away 336801818745?\nAnswer: -336801818745.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 - (-5791 - 4\/2). Let n be (-2)\/3 - l\/15. Let g = 563 + n. Calculate the highest common factor of 16 and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 16386, 65569, 147544, 262311, 409870, 590221, 803364?\n\"Answer: 16396*o**2 - 5*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65*v + 44*v + 33*v + 72 = 0. Put 9, -4, 5, -3, v in descending order.\nAnswer: 9, 5, -3, -4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -5*t**5\/3 + 50*t**4\/3 - 35*t**3 - 340*t**2\/3 + 1360*t\/3 - 320 = 0.\nAnswer: -3, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8481730517 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1721 and 0.2.\nAnswer: 344.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**4\/3 - 71*k**3\/3 + 624*k**2 - 21760*k\/3 + 94208\/3.\nAnswer: (k - 23)*(k - 16)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1531978443?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*p + 444654 = -42*p + 2607529. What are the prime factors of p?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.3, -44\/3, -4, 94, -2, 4\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + r = 46, 309*s + 3*r - 21 = 307*s for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.225, 0, -7, -1\/19, -0.3, 4 in decreasing order.\nAnswer: 4, 0.225, 0, -1\/19, -0.3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 0*x = -54. Let t be (3 - 1) + 0 + x. Let z = 3875 + -3867. Calculate the greatest common divisor of z and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 3*c = 187 - 357 for c.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + k = 0. Suppose 0 = 2*a + 2*a + 2*u + 6, k = -2*u - 2. Suppose 6 = 4*y - 7*y - 5*d, -3*y - 4*d = 6. Is a <= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 90 + -422. Let z = n - -332.00002786. Round z to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/160 and -47\/100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -244, -737, -2058, -4621, -8840, -15129, -23902, -35573?\nAnswer: -50556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 3*z**3 - 40*z**2 + 9*z + 51. Let o be r(13). Is -33\/16 bigger than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 890 - 919. Is -13 < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 - 3. Suppose z + 26 = l*z + 5*v, 5*z - 4*v - 65 = 0. Suppose -3*t + 1 = z. Sort -5, t, 5 in descending order.\nAnswer: 5, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -168, -9.\nAnswer: -168, -13, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -31*s**3 + s**2. Let j = 159 + -144. Suppose j*k - 34 = -3*w + 19*k, -2*k = -3*w + 44. Calculate the least common multiple of d(-1) and w.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1783814.4 months in decades?\nAnswer: 14865.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 - 11*z**2 - 16*z - 13. Let n be k(-10). Let f(j) = -j + 46 + 216*j**2 - 93 + n. Let d(l) = -l. What is f(d(p))?\nAnswer: 216*p**2 + p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71 + 11 = -5*o. Suppose -5*s = 3*x - o, x + 4*s - 1 = -4. Let w(t) = -t**2 + 9*t + 3. Let g be w(x). Solve -v + g = -2*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u + 6*u - 10*u - 11)*(45 + u - 45).\nAnswer: -3*u**2 - 11*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1041\/45 - 4\/30. Let u = -27 + m. Put u, -1, 3 in decreasing order.\nAnswer: 3, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1086 (base 9) in base 7?\nAnswer: 2232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5265 and 360?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - 2*d)*((-11*d + 3*d - 7*d)*(38 - 19 - 32) - 2*d + 5 - 5 + (3*d + 2 - 2)*(3 - 3 + 1) + 0*d + d + d) to the form x + g*d**2 + h*d and give g.\nAnswer: -396","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1988? (a) -2\/7 (b) -0.3 (c) 3 (d) 1\/10 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 9:38 PM?\nAnswer: 6:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 147010*t**2 + 9828*t - 8.\nAnswer: 294020","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 - 5*q**2 - 6*q + 4. Let f be b(6). Let t be f\/5 - 6\/15. What is the nearest to 4 in -5, t, 0?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 4*b + 99 = 0. Suppose -5*f - 65 = -5*y, 45 + 11 = -4*f + 2*y. Let x = b + f. Is 9 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 49*t + 1. Let i(u) = 1224*u + 18. Let j(g) = -4*i(g) + 99*w(g). What is the derivative of j(s) wrt s?\nAnswer: -45","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 5*m + 10 = 0, 5*m + 10 = -4*f - 0*m. Suppose -6*v + v + 20 = f. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65 is divided by ((-24)\/14)\/(22\/(-231)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o**5 + 252*o**4 - 18172*o**3 - 1411388*o**2 - 17455272*o - 48462304 = 0.\nAnswer: -61, -11, -4, 74","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -830026 divided by -2\nAnswer: 415013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10066 (base 9) in base 6?\nAnswer: 50353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 3*y)*(52 - 5 + 15).\nAnswer: 186*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23*f**5 + 76226*f**3 - 3433854*f wrt f.\nAnswer: 460*f**3 + 457356*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the first derivative of -y**2\/2 + 49. Let z(x) = 0*x + x - 39 + 4*x + 38. Determine 4*w(q) + z(q).\nAnswer: q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 6*f**3 + 2*f + 2. Let n(a) = -a**3 - a. What is -d(g) - 2*n(g)?\nAnswer: -4*g**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3e - 6?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 11694*t**3 - 15*t**2 + 12*t + 4. What are the prime factors of v(1)?\nAnswer: 5, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hyyyyyhhyyh. Give prob of sequence yh.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uauaaaaddauuaaduaad. What is prob of picking 3 a?\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -600227*u**3 - 2*u**2 - 59129 wrt u?\nAnswer: -1800681*u**2 - 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -666402577654 + 5\nAnswer: -666402577649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k - 16. Let l(s) = 2*s - 33. Let p(h) = -4*l(h) + 9*q(h). What is p(6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(-10)\/12*12\/75.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes after 4:13 PM?\nAnswer: 4:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58*d = 52*d + 30 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - (-13 + 19))\/(((-1)\/14)\/(74\/148)).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 - 5 = 2*k. Let q be (-2 - -2 - -1)\/(k\/(-3)). Determine l so that 0 + q*l**3 - 6\/7*l**2 + 3\/7*l = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 537964 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2841 is divided by 57?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 52110567573\/4151126 - 25\/296509. Let b = -12561 + p. Let o = 1727643\/2714 - 14658\/23. Find the common denominator of b and o.\nAnswer: 826","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*u**2 - 3*u + 20*u**2 + 23*u**2.\nAnswer: 32*u**2 - 3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 5191 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 22\/14 - 31\/(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 - 22. Let m(y) be the third derivative of 1\/120*y**6 - y**2 - 1\/20*y**5 + 1\/8*y**4 - 1\/6*y**3 + 0*y + l. What is j in m(j) = 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.00174 + -0.008494. Round f to four decimal places.\nAnswer: -0.0068","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 519114?\nAnswer: 2, 3, 241, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1215 divided by 2?\nAnswer: -1215\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 - 20*u + 56. Let w be l(17). Let d(r) = r**2 - 2. Let a(g) = g**2 - 1. What is w*a(p) - 3*d(p)?\nAnswer: 2*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (4 - -33) + -31 + (-3 - (-61)\/(-21))\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*k - 12*r + 8*r - 36 = 0, 2*k + 3*r = -27 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1320573?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**2 - 3*q - 2. Let r be v(4). Let m(y) be the first derivative of -1 - 1\/2*y**r - y. What is the first derivative of m(d) wrt d?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1113900 rounded to the nearest one hundred thousand?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9 and 801.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4*(3 - 68\/16).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18 and 889206102.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -2*m - 3*i, -3*m + 5*m = 5*i - 3. Let y be (10\/m)\/((-1)\/30). Suppose b - 67 - y = 4*u, -2*b = -2*u - 284. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 6.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 1221\nAnswer: 1220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65008.7 + -0.19466.\nAnswer: 65008.50534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1b967 - -5?\nAnswer: 1b96c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 371956157 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.31? (a) -3 (b) 0.5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 4*r**3 - 3*r**2 - 2*r + 1. Let q(v) = -20*v - 15. Let y be q(15). Let n = -317 - y. Calculate i(n).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1932)\/(-207)*3\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 590574281?\nAnswer: 11, 643, 83497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of -y**8\/1848 - 2*y**7\/385 - y**6\/132 + 18*y**2. Determine r so that g(r) = 0.\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1063, -1062, -1055, -1042, -1023, -998, -967?\nAnswer: -930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-7130)\/(-14) - 4\/14 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 3 = 4*o + 25, 4*o + 19 = z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mpu. Give prob of picking 1 u and 2 p.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, i: 1, g: 2, t: 3}. What is prob of sequence ti?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -5, 5, -0.4, -10?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8277 is divided by 251?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -52, -3, -6, -5 in increasing order.\nAnswer: -52, -6, -5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 3) in base 11?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2324858 and 208976?\nAnswer: 18598864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 161*a**2*q - 52*a**2 - 13*a*q**3 - 15*a - 17 wrt q.\nAnswer: 161*a**2 - 39*a*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4*(7\/126*18)\/(1\/3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/2 + (-1 - -2). Calculate the lowest common multiple of 1 + 0 + y + 6 and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1335, 1338, 1341, 1344, 1347, 1350?\n\"Answer: 3*y + 1332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1612331 to the nearest 10000.\nAnswer: -1610000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23*k**2 + 27*k**4 + 98*k**4 - 2*k + 11*k**4 wrt k.\nAnswer: 3264*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*j - 55*j + 960 = 104*j for j.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011001 - -110011?\nAnswer: -100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -1977*d - 1667. What are the prime factors of t(-26)?\nAnswer: 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4727 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4486576 (base 9) to base 6.\nAnswer: 123504240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 9*t + 1614 = -12*t, 4*t + 1072 = 2*h. Suppose 0 = 538*l - h*l + 4. Which is the closest to 0? (a) 0.1 (b) -3\/5 (c) 4 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1792, 7877, 18258, 32935, 51908, 75177, 102742?\nAnswer: 134603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 713358178?\nAnswer: 2, 13, 137, 271, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.49, -0.5, -5, 6, -25?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 217 + -215.26. Let d = -2.81 + k. Let o = d - -0.77. Which is the closest to 1\/4? (a) o (b) 0.4 (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + -14. Let d be ((-1444)\/(-6))\/(p\/(-6)). Is 16 a factor of d\/11 - (-6)\/33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*w + 2*p - 42 = -31*w, 5*w = -2*p - 38 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8791 is divided by 172.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of r**6\/900 + 7*r**5\/150 + 13*r**4\/60 - 35*r**3 + 24. Let p(l) be the third derivative of m(l). Suppose p(g) = 0. Calculate g.\nAnswer: -13, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5785.856 rounded to the nearest 10?\nAnswer: -5790","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -104\/207 - -9\/23. Let f = -1\/9 + o. Which is the smallest value? (a) -2\/7 (b) 2\/9 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 q when three letters picked without replacement from {w: 2, h: 9, q: 2}?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 29929.7 to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -w + 2*w. Let o be 1 - 0 - w\/(-1). Let z(q) = q**2 - 2*q - 80. Let c be z(10). Solve 5*u - 3*n + 40 = c, -2*u - 5*n = o*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 14 + -11. Let x(y) = -a*y + 6*y - 1 + 0*y. Let l = -328 - -332. Determine x(l).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1754666 to 3 dps.\nAnswer: -0.175","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1c8a + 6a?\nAnswer: -1c20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 81\/31, 2\/15, 0.02, -3?\nAnswer: 81\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 208 + -142. Suppose -2*h + b - 27 = x, 4*h = -x + 83. Calculate the lowest common multiple of (-42)\/(-4) + (-1)\/2 and h.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 30 + -1 + 4 + -3. What is the common denominator of 25\/9 and (189\/q)\/(18\/(-15))?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 766\/257 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 5*d - 70 = -2*m, 128 = -1332*m + 2658*m - 1328*m - 2*d for m.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 17*t + 351. Let p(h) = -84*h**2. Determine z(p(i)).\nAnswer: -1428*i**2 + 351","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 986294 by -1.\nAnswer: -986294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7\/371*(-4)\/22. Let c = p + -7551\/8162. Calculate the common denominator of -27\/20 and c.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/261 (b) 23 (c) 0.5 (d) -1\/3 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -7*o + 3*o**2 - 2*o**2 - o**3 - 5*o**2 + 14 + 25*o + 5*o**2. Let l be g(-7). Calculate the highest common divisor of l and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 29359973.7249 and -0.2.\nAnswer: 29359973.5249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 598 divide 34411?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 0*l - 21*l**2 + 2*l - 23*l**2 + 41*l**2 = 0. Calculate l.\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(162) + (4*-2*sqrt(162))**2.\nAnswer: 9*sqrt(2) + 10368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00024198981 rounded to 7 decimal places?\nAnswer: 0.000242","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1274*a**2 + 47*a**2 - 1299*a**2.\nAnswer: 22*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 124?\nAnswer: -5\/124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -786300 to the nearest ten thousand.\nAnswer: -790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 - 8 = -2*i + 4*w, i - 5*w = -4 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 >= -1631?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -u - 9, -2*u - 3*u + 59 = -k. Suppose 0 = 7*a - u*a + 1772272. Let i = a + -913068. What is i rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 6 = -6. Factor -5*w**3 + 9*w + w**s + 6 + w**3.\nAnswer: -3*(w - 2)*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-45)\/10)\/3*(1 + -15). Solve 5*t - 1 + z = 0 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, -135 in descending order.\nAnswer: 5, -3, -135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 47025 and 1800.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 - u**2 - 8*u + 3. Let l be h(0). Solve -11 = -2*j - l*x, -4*x - 2 = 2*j - 14 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*z - 6. Solve 0 = z*b - 12 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -41*d**4 - 2*d**4 - 7*d**4 - 34*d**4 + (105*d**3 + 2*d**3 - 15*d**3)*(7*d + 1 - 1 + (0 + 1 + 0)*(-d + 0*d + 2*d) + d + 1 - 1).\nAnswer: 744*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 38\/379, 1\/3, -1?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**2 - z + 8. Let x be b(-5). Let c be (x + 6)*(-2)\/3. Find the second derivative of 4*s**4 - 10*s**c - 10*s + 6*s**4 - 7*s**5 wrt s.\nAnswer: -140*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -314769836, -314769837, -314769838?\nAnswer: -314769839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 76552 to the nearest integer?\nAnswer: 277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of a**2 + 2*a - 6*a**2 + a**2 + 693*a**4 + 4*a**2 + 711 wrt a?\nAnswer: 8316*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 less than -2249482853?\nAnswer: -2249482852.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 2\/7, -123, 5, -101, -79 in increasing order.\nAnswer: -123, -101, -79, -11, 2\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in -1\/131, -5, -2.9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -28. Suppose 3*s = -g + 4, -10 = g + 4*s - 13. Calculate the highest common divisor of g and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/72 + (8\/36)\/1.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 - 9 = 5*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 81574.4l to millilitres.\nAnswer: 81574400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-35)\/(-10) - 3)\/((-4)\/(-144)) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 smaller than 1.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -11 - -17. Let y(s) = -2*s**2 + 8*s + 6. Let r be y(q). Let m be r\/(-4) - (-1)\/2. What is the greatest common divisor of m and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, w: 1, g: 8, l: 7}. Give prob of picking 1 l, 1 w, and 1 g.\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 48. Let b = -110 + n. Let r = b - -68. Solve m - r*m + 4*p = -23, 4*m = p + 14 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.011785 meters in nanometers?\nAnswer: 11785000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 8*m**2 + 11*m + 12. Suppose 4*i + 66 - 46 = 0. List the prime factors of n(i).\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7)\/294)\/((-1)\/(16\/4)).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1303168 rounded to the nearest 1000?\nAnswer: -1303000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 33 = -2*w, -67 + 8 = -3*a + 4*w. Suppose -8 = 5*d + 2. Let b be (d - 0)\/(2\/(-50)). What is the highest common divisor of b and a?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -13, 78\/5?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 129825\/2 (b) -1\/2 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-17337)\/132917)\/((-2)\/184)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7544391156?\nAnswer: 2, 3, 209566421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1508693?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.528153 to one dp.\nAnswer: 11.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 192?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -3093 divided by -3093?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 7*d**3 - 3*d**2 - 6*d - 7. Let q(a) = -a**3 + a + 1. Suppose 38*u + 12 = 36*u. What is u*q(l) - m(l)?\nAnswer: -l**3 + 3*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3869 + -2308. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4739.000027452 + -4739. What is h rounded to 7 decimal places?\nAnswer: 0.0000275","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 56 and 344610.\nAnswer: 1378440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -180 + 180 + 0*v - 5*v. Let g(j) = -32*j. Determine g(k(f)).\nAnswer: 160*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 30*g**2 - 5*g - 9. Let m(i) = 14*i**2 - 2*i - 5. Give 13*m(n) - 6*w(n).\nAnswer: 2*n**2 + 4*n - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 3.5. Let x = -8.649 - -0.049. Let b = x - -9. What is the nearest to 1 in -3, b, o?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27*(-3)\/(-15))\/((-339)\/(-2825))?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 - 9) + 5\/(125\/(-105)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 + 6. Let n be ((-12)\/9)\/((-6)\/i). Suppose -13*y + 7*y = 12. Does y = n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 59744 - -3?\nAnswer: 59747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -104 + 110. Solve 5*k + h = -z, -5*k = -5*z - 0*k for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 536?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the second derivative of -1\/24*b**4 + 0 - 1\/2*b**2 + 0*b**3 - b. Let i(o) be the first derivative of v(o). Let w(g) = g. Calculate i(w(l)).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11842 and 37627?\nAnswer: 2332874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2*y**2 + 221*y - 2344. Calculate the remainder when -4 + 421 - 1*-1 is divided by r(12).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2073, -1, -153 in descending order.\nAnswer: 2073, -1, -153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 594.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of 0*v**2 + 0 + 3*v + 13\/12*v**4 + 0*v**3. Let g(b) = -b. Determine g(f(n)).\nAnswer: -13*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 5:40 PM?\nAnswer: 12:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -99776, -99785, -99794, -99803?\nAnswer: -99812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence io when two letters picked without replacement from {o: 1, w: 3, i: 1, r: 1, z: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 782 + 21546*g + 21538*g - 43080*g to p*g + u and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -1127.959621 to 1 decimal place.\nAnswer: -1128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*k**2 + 21*k**3 + 15*k**3 - 20*k**2 - 58*k**3 + 20*k**3.\nAnswer: -2*k**3 - 46*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-88)\/3*(-9)\/4. Calculate the common denominator of 48\/5 and (-3 - -4) + 16\/i.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -1191*b - 11. Let o(u) = 1191*u + 13. Let m(c) = -5*j(c) - 4*o(c). What is the hundreds digit of m(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 82016 + -21?\nAnswer: 81aa5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (-264)\/21 - (73 + -59)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, z: 6}. What is prob of sequence mmz?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8\/9 in 0, -0.5, -4, -0.2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 31661342?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -191, -3, -0.4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -211, -388, -565?\n\"Answer: -177*j - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 156 + 4?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k + 2*k + k)*(255 + 57*k - 255) + (-k + 3*k - 4*k)*(-12*k + 7*k - 8*k).\nAnswer: 83*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 19*l + 3. Let t be 4 + 12 - 3\/3. Let b = t - 13. Is w(b) a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*k + 159*k - 155 = 45*k - 5828 for k.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 10*o**3 + 4*o**2 - 3. Calculate the remainder when 855 is divided by k(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8424 + 16045. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, q: 3}. What is prob of sequence quu?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 995 is divided by 214.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c - 3. Let a be t(-5). Let k(u) = 7*u**a + 6*u**2 + 0*u**2. Let j(q) be the second derivative of -q**3\/3 + 9*q. Calculate j(k(x)).\nAnswer: -26*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 150 and 7890.\nAnswer: 39450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m**(-17))\/m**(2\/35))\/(m\/m**(-11)*m*(m**(-5)\/m)\/m*m) assuming m is positive.\nAnswer: m**(-772\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b**3 + 12*b**2 - 14*b - 10. Calculate g(-13).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 301.229 + -301. Round d to two decimal places.\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 779315107?\nAnswer: 31, 4519, 5563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.65 - 2.68. Sort p, 0.1, 3\/5, 2 in decreasing order.\nAnswer: 2, 3\/5, 0.1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -5*c - 4. Let m be u(-3). Let y = m - -11. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14\/13? (a) -225 (b) -12 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zbgbziwr. Give prob of picking 1 b and 1 z.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 59362*x. Let i(k) = k**2. Calculate i(w(d)).\nAnswer: 3523847044*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 8) to base 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r. Let k(a) = -2. Let y = 4 - 3. Let w(p) = -p**3 - 6*p**2 - 2. Let h be w(-6). Let t(x) = -x - 1. Let b(q) = h*t(q) + y*k(q). Calculate d(b(i)).\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 < -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2006111 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -15112 times -738.9?\nAnswer: 11166256.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k**2\/3 + 3520*k\/3 - 171626 = 0. Calculate k.\nAnswer: 161, 1599","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 44 - (-26 + (-14792)\/(-215))\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100283041151 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 88*r - 5 + 4 - 120*r - 12. Let i be n(-1). Solve 0 = -i*s + 24*s - 10 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 + 4*b - 5. Calculate v(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 302220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 39250 divided by 7850\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -24*b + 35. Suppose -c + 9*c = -72. What is the hundreds digit of g(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 0 + (sqrt(432)\/sqrt(6))**2.\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 4*j + 94, j + 35 + 86 = -3*i. List the prime factors of (9 - -2)\/((-3)\/i).\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 2 u when three letters picked without replacement from maummuamuumuumu.\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 AM and 7:10 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 + 3*b + 384. Calculate o(0).\nAnswer: 384","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 9321630 to the nearest 100000.\nAnswer: 9300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*s - s + 840 = -38*s for s.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 + 20*m**2 - 122*m + 18. Calculate g(7).\nAnswer: -199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 25\/4 of a centimeter?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1172276 to the power of 1\/3, to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 10*l**2\/9 - 9232*l\/9 = 0.\nAnswer: 0, 4616\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 3. Let o = 0.16 - 0.26. Which is the biggest value? (a) t (b) 2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23.32 + 0.27. Let s = -23 - q. Let w = s - 1.05. Put 1\/4, 2, w in ascending order.\nAnswer: w, 1\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u - 2 - 2. Calculate the remainder when 19 is divided by 14\/(-2*u\/2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 200097 is divided by 27.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 + 75. Let i be b(0). Let r = i + -49. Let l = r - 24. Solve 8 = f + f - 2*y, 4*f - l*y - 6 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1\/5, -4, -5, 3\/8, -1 in descending order.\nAnswer: 3, 3\/8, 1\/5, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(1\/2))**(-2\/33))**(3\/19) assuming f is positive.\nAnswer: f**(-1\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8352738*w**3 - 6331622*w**2.\nAnswer: -50116428","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1b (base 13) to base 2\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of 7*n**3\/3 + 3*n**2\/2 + 1740*n. Let y(p) = p + 1. Calculate -u(f) + 6*y(f).\nAnswer: -8*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2525 is divided by 2506.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 188.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2 + 2*g**2 + 456*g - 456*g. What is the least common multiple of 3 and w(2)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1687335?\nAnswer: 3, 5, 13, 17, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -15830 - 15826 - 24254*g + 31656 as x*g + t and give x.\nAnswer: -24254","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 15? (a) -162 (b) -4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 269871\/(-568) + (-2)\/(-16). Sort -1, -4, l in descending order.\nAnswer: -1, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 44 + -23?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -3614, -3668, -3780, -3980, -4298?\n\"Answer: -5*u**3 + u**2 - 22*u - 3588","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**3 + 5*v**2 + 8*v - 5. Let p = -671 - -671. Suppose -17 + 20 = r, 4*m - 5*r + 11 = p. Calculate the least common multiple of h(6) and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = 3*g - p - 5134 + 5099, 4*g = -2*p + 12 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/25, 1, 2\/149, -2\/15, 85 in descending order.\nAnswer: 85, 1, 1\/25, 2\/149, -2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -931505, -931513, -931525, -931541, -931561, -931585, -931613?\n\"Answer: -2*v**2 - 2*v - 931501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000112067707 to seven decimal places.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -134 - -550. Is k a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 - -4. Let b = 2 + n. Suppose 5*s - 3*c + 2*c - 28 = 0, -b*s + 2*c = -16. Solve -s*y = -y - 12 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3881374102 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: Is 5384943209 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Add together 23942.48 and -54.\nAnswer: 23888.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(17)*-2 + 2 + sqrt(17) + -3.\nAnswer: -7*sqrt(17) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6720 - -1?\nAnswer: -671a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/5)\/(5*16\/50).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 0*h - 56. Let q = -9 + h. What is the remainder when 1 + (-3 + 213)\/6 is divided by q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 999 is divided by 24.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - x + 48623 = 0, -5*z - 5*x + 89895 = 29135. Let n = z - 8498. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {x: 2, w: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -2\/3, -1\/2, 0.2, 46 in decreasing order.\nAnswer: 46, 0.2, -0.2, -1\/2, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b**2 + 11*b + 8. Let r(c) = -5*c**2 - 23*c - 16. Let h(t) = -9*n(t) - 4*r(t). What is the units digit of h(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -65.992 in 3\/7, -0.4, -0.1, -110, -4, -0.2?\nAnswer: -110","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 39 and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12*(2 - 21\/18). Differentiate -1 + 12*i**3 - 27*i**3 + 11*i**3 - 2*i - s wrt i.\nAnswer: -12*i**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 170*j. Let n(v) = -3*v**2. Determine n(c(u)).\nAnswer: -86700*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 60 - -122013421?\nAnswer: 122013511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 22883385?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 1143976?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 10 + (-9 - -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 60 + 9 + -20 - ((10 - 5) + -13)\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s - 47. Calculate b(-16).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 422793?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12378?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -222 + 225. Suppose y*n = 8*n - 15. Factor 0 - 1\/2*c - 3\/2*c**2 - 3\/2*c**n - 1\/2*c**4.\nAnswer: -c*(c + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 + ((-57)\/38)\/((-1)\/((-1089904)\/(-12))) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x**2 - 3*x - 7. Let d(k) be the second derivative of -k**4\/12 + k**3\/6 + k**2\/2 - 91*k. Give -3*d(w) - i(w).\nAnswer: w**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 1750.865 to the nearest ten.\nAnswer: 1750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 245354 is divided by 24533?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 PM and 10:26 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 26\/945 and 19\/13182183?\nAnswer: 65910915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.7 - 5. Let r be (-4)\/10*1*-30. Let m be (r\/(-15))\/(2\/10). Put m, k, 0.3 in decreasing order.\nAnswer: 0.3, k, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3641*l - 2841*l - 1265096 = -3752*l - 4960*l for l.\nAnswer: 133","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 3 d when four letters picked without replacement from {i: 5, d: 5}.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 918002, 3672091, 8262238, 14688443, 22950706, 33049027, 44983406?\n\"Answer: 918029*i**2 + 2*i - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -5 + -1*sqrt(17).\nAnswer: -8 - sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 21 - 1 - (1731 - 1693)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -9\/2 (b) 27 (c) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63) - (sqrt(63) - sqrt(126)\/(sqrt(2)*-2)))\/sqrt(9) + -2 + 3*(2 + sqrt(112) + -2)**2.\nAnswer: -sqrt(7)\/2 + 334","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 + j. Let y(g) = 3*g**3 + 4*g**2 - 6*g - 2. Calculate -4*d(n) - y(n).\nAnswer: n**3 - 4*n**2 + 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 14. Suppose 0 = o + o - u. Is o even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 272 and 918?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + (2\/8 - 6415\/(-20)). Suppose -y - 5*u + z = 2*y, -3*u + 312 = 3*y. List the prime factors of y.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 347 and 10528327.\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3*(-60)\/432*-6*(-32)\/(-10)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a kilogram in milligrams?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -31826 divided by 2?\nAnswer: -15913","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59685.02 centuries to millennia.\nAnswer: 5968.502","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -22, -95, -214, -379?\n\"Answer: -23*n**2 - 4*n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, c: 2, z: 2, e: 1, v: 2, x: 1}. Give prob of sequence pz.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*g**3 - 340 + 148 - 11*g - 4*g**3 + 149 - g**2 to the form a*g + f + p*g**2 + o*g**3 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000447282 to six decimal places.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5156 and 91845117.\nAnswer: 367380468","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-2 + sqrt(8) + sqrt(2) + -2*sqrt(72))*-1)**2.\nAnswer: 144*sqrt(2) + 664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.0062 + 0.5238. Let n = 2.08 + 7.69. Let c = r + n. Round c to 0 decimal places.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 5:02 AM?\nAnswer: 10:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*r + 18*r**2 + 9*r - 15*r**2 to z*r + l + q*r**2 and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*o**2 + 3 - 3)*(2*o**3 + 0*o**3 + 0*o**3) + 5*o**5 - o**5 - 2*o**5 + (-4 + 1 + 1)*(4*o**5 - 6*o**5 + 201*o**3 - 209*o**3).\nAnswer: 12*o**5 + 16*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/4*(-34092)\/14205?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -9, -5, 15, 51, 103?\n\"Answer: 8*y**2 - 20*y + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -486 - -512.7. Let f = -23.7 + o. Which is the smallest value? (a) 4 (b) -1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 244 a factor of 1502308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 1424 = -3*g, -2*g = j - 0*j - 971. Let m(c) = c**3 + 3*c**2 + 2*c + 1. Let r be m(-2). Is (2\/(6\/g))\/r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of 4*w + 0*w**3 + 0 + 1\/20*w**5 + w**2 + 0*w**4. Find the first derivative of u(c) wrt c.\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 117.01903 to the nearest ten.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 1391321148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19197*g**3 + 8783*g**3 + 43891*g**3.\nAnswer: 71871*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3057 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 775\/310*(-5)\/(75\/36)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2.5*55\nAnswer: 137.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.120188 to two decimal places.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 145\/(-238) - 27\/567. Let b = -11\/34 - h. Factor -1\/3*l**2 - 1\/3*l**3 + b*l + 1\/3.\nAnswer: -(l - 1)*(l + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/8*868\/(-62)?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes after 4:02 PM?\nAnswer: 11:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11404, -11468, -11532, -11596, -11660, -11724?\nAnswer: -11788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a gram in milligrams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 AM and 1:41 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 5 (b) -0.7634 (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w**2 - w - 1. Let k(d) = 13*d**2 - 6*d - 9. Determine 5*k(l) - 30*t(l).\nAnswer: 5*l**2 - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-10)\/d)**(-4\/7))**(-35))**(-41) assuming d is positive.\nAnswer: d**9020","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of -r**4\/2 + 13*r. Let d(z) = -2*z. Calculate o(d(j)).\nAnswer: -24*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2. Suppose 111*o - 107*o + y = -40, -4*y + 10 = -o. Let f(g) = 3*g**2 + g + 1. Give o*v(k) + 4*f(k).\nAnswer: 2*k**2 + 4*k + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-2\/17)*w**(2\/5)*(w\/w**(-1\/3))\/w**(2\/7) assuming w is positive.\nAnswer: w**(2374\/1785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 225167349 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15*1\/3 + 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of 11*v**3\/2 + 9*v**2\/2 + 8*v - 2. Let g = -4 + 5. What are the prime factors of i(g)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 - 2 - 1 - 4 + 3 + 2 - 6 + 2 + (2 + 3 - 3)*(3 + 3 - 3))*(4*g - 6*g - g)*(-1 - 1 - 1).\nAnswer: -18*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*t + 59*t = -118 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, 25, 60, 109, 172, 249?\nAnswer: 340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.81634914 to 1 decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 91, -194, -669, -1334, -2189?\n\"Answer: -95*c**2 + 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 3 = -1. Suppose -l*f - 4 = -3*f. Calculate the remainder when f is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 114899 is divided by 19130.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 2*l + 213*l**3 + 6 + 229*l**3 - 661*l**3 + 220*l**3. Let c(i) = -i**3 - 3*i - 7. Give -5*c(d) - 6*j(d).\nAnswer: -d**3 + 3*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 10*m**2 - 42*m + 3. Let j(i) = -2*i**2 + i. Give -4*j(o) - s(o).\nAnswer: -2*o**2 + 38*o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (436\/(-2616))\/(10\/18)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 208 divide 378984?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 - 2*o - 9. Let w be q(7). Let c = -26 + w. Is 4\/5 at most as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -391 + 454. Let p be 6\/21 - (-5 + 381\/j). Is p equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3 - ((5 + -529 - -5) + -5 + -2) is divided by 21?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -4*k + 72 - 12, k = -5*j - 8. Let t be (-15)\/(-6)*k\/3 - 3. Let n(s) = -s**3 + 7*s**2 + 4. What is n(t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 5546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -2*x + 4, 3*x - 15 = -5*i + 5. Suppose x = -t - 3*t. Let m(r) = -4 + 3 - r + 5 + 0*r. Calculate m(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35605481 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 + 73*i - 113. Calculate z(73).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8 (base 9) to base 12.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 252 and 324?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6 - -5. Let s = 143 - 120. Let b = s + -23.5. What is the biggest value in b, n, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - -13. Suppose i - 16 = -s*i. Let j(d) = 2*d**2 + 5*d + 4. What is the remainder when j(-3) is divided by i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2561 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -86, -102, -122, -146, -174?\nAnswer: -206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 4783 (c) -0.5 (d) 2 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 75, 57, 11, -75, -213?\nAnswer: -415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29250*r**3 + 2610*r - 2610*r + 29411*r**3.\nAnswer: 161*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 - 30*d + 64. Calculate a(28).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 130438?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12420*a + 12404*a + 2*m + 66 = 0, -5*m = 3*a - 7 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 5*o**5 + 3390*o**4 + 13465*o**3 - 10200*o**2 - 60660*o = 0.\nAnswer: -674, -3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-20)\/(-15)*(-2007)\/(-12).\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w + 15 = 12*w. Suppose 144 = 6*d + w*d. Let i(c) = 5*c + 5. Calculate the remainder when i(5) is divided by d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 + (-39438135)\/(-565))\/((-28)\/(-8)). Let h = v - 19944. Is h at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-15\/8)*s**(-46)*s)\/(((s**(-44)\/s*s)\/s*s)\/s)**(-19) assuming s is positive.\nAnswer: s**(-7215\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1784\/67 at least as big as 27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22275)\/126225*1\/30*2?\nAnswer: -1\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60639045.\nAnswer: 3, 5, 4042603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3 + 0.1. Let v = m - 0. Let q = 721\/3 - 241. Sort v, -5, q in ascending order.\nAnswer: -5, q, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 63227?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 133342176 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 18692833399 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - 2. Let v = r - -16. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -611 - -2?\nAnswer: -60b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 - 8*r - 1. Suppose -10*a = -7*a + 24. Give x(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 15) in base 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 519 times 7.6\nAnswer: 3944.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 - 15*m + 12. Let n be f(9). Let h = n + 25. Let j(d) = -d**3 - 16*d**2 + 17*d + 5. Let v be j(h). Solve -v = 2*s - g + 2*g, -3*g - 9 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve -y + 4*y + 12*h = -23 + 14 - 6, -2*y = 3*h for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*6*sqrt(832)*5*-5.\nAnswer: 6000*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 73088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - 0.9999832. What is l rounded to 6 dps?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 646342.\nAnswer: 2, 19, 73, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.925 to one dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c**2 + 10146*c - 374136356 = 0 for c.\nAnswer: -16447, 11374","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -70280 divided by -140\nAnswer: 502","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -1. Suppose -3010 = -22*j - 2988. Let x(y) = -7*y - 8. What is j*x(v) - 6*u(v)?\nAnswer: -7*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62925 is divided by 1165.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 171 at most as big as 175?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + 5 + -7 + 4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86.38454 decades to millennia.\nAnswer: 0.8638454","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a29a (base 11) to base 13.\nAnswer: -cb61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 93.37 * 0.2.\nAnswer: 18.674","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -3*s - 2*w + 12, -s = 3*w + 1. What is the highest common factor of 60 and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 628?\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 3405183?\nAnswer: 681036.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -12787114, -25574220, -38361340, -51148480, -63935646, -76722844, -89510080?\n\"Answer: -p**3 - p**2 - 12787096*p - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (240\/(-50))\/(6\/(-40)). Suppose -9*c = 166 + n. Let z = 4 - c. What is the remainder when z is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61043 is divided by 359?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5 + 2\/1 + -1. Let k = -432 - -436. Put k, i, 4\/7 in ascending order.\nAnswer: i, 4\/7, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 22 = 5*j, j - 3*b = -0 + 10. Let r(w) = 2*w**2 - 4*w - 4. Let m be r(j). Calculate the greatest common divisor of 4 and m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22622177.\nAnswer: 4549, 4973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -2 - (68 - 58).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 0.08068413.\nAnswer: -0.008068413","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 PM and 7:58 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + (-9)\/(-2)*2. Suppose -5*v + q*v - 20 = 0. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 32, -2, 0, -4, -75 in increasing order.\nAnswer: -75, -4, -2, 0, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 5*j - 6. What is the tens digit of a(10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -21*v + 2. Let x(j) = 10*j - 1. Calculate -9*x(r) - 4*y(r).\nAnswer: -6*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000717857 rounded to six dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-2\/15))\/u)\/u*u\/(u*u**(-11))*u*(u*u*u**(-5\/3))\/u**(3\/13) assuming u is positive.\nAnswer: u**(713\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2 - 0.3. Let t = -67 + 67.07. Let d = t - -0.93. What is the biggest value in d, -0.05, f?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.4 + 0.9. Which is the second smallest value? (a) 5\/2 (b) y (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -155552 - 49422 = -154*n. List the prime factors of n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 43465 from 0.031181.\nAnswer: -43464.968819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4799075ns in seconds?\nAnswer: 0.0000000004799075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 b, 1 x, and 1 l when four letters picked without replacement from {x: 5, d: 1, b: 1, l: 1, u: 1}?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5818856*j**3 + 2143311*j?\nAnswer: 34913136*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k + 9757 = -6119. What are the prime factors of k?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/3233612 and 67\/432942.\nAnswer: 572349324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3.31? (a) -5 (b) -1\/2 (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 560870 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -b5b25d (base 14) in base 11?\nAnswer: -35131a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -54 and -110.\nAnswer: 5940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.05? (a) 1 (b) -3 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 77329 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 1023680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 4. Suppose -m = -3*m - h, 8 = n - 3*m. What is the third derivative of -2*r**6 - n*r**2 + r**6 + 0*r**6 wrt r?\nAnswer: -120*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 12*b + 3. Let t be f(-2). Is 3 a factor of (-2)\/7 + (-69)\/t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33839?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.48175 to 2 dps.\nAnswer: 0.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*d + 2*d - 49 + 4*d to i + w*d and give i.\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4)\/(-5))\/((-1)\/(-5)). Suppose -f*l + l - 21 = -3*t, 4*t = 3*l + 20. Let s = -5 - l. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**34\/a**(-1\/7))**(-2\/55))**(-2\/15))**(-2\/17) assuming a is positive.\nAnswer: a**(-1912\/98175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 93000 = -m, 4*g - 7*m + 2*m = 186000. What is g rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/3 + (-17)\/(-12). Let w(f) = 4*f**3 + 12*f**2 - 33*f + 35. Let k be w(-5). What is the closest to k in -5, c, 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 3*z + 121 = 0, -2 = -2*k - 5*z + 39. Does 5 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 140 and 7260.\nAnswer: 50820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2012*y - 1282 = 1148*y - 92922 for y.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6 + -62c?\nAnswer: -635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 51\/100996?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, -17, -56, -123, -224, -365?\nAnswer: -552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -31*h + 25. Let n be 5\/(-2)*(-3)\/30. Factor u + n*u**h + 1.\nAnswer: (u + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3730 - 3731. Put 2, -5, j, -27 in descending order.\nAnswer: 2, j, -5, -27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, i: 1, v: 2}. Give prob of picking 2 v.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 232, -182, -9, -4 in increasing order.\nAnswer: -182, -9, -4, 232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 37, -3, -1 in decreasing order.\nAnswer: 37, 3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/3 + (1 - 4). Solve u + k + 2 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-6)*-10 - 252\/378.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = -55*j + 11*j - 55*j. Let l(m) be the first derivative of -13\/2*m**4 + j*m**3 + 17 + 0*m**2 - 13*m. Differentiate l(a) with respect to a.\nAnswer: -78*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4593*g**4 - 4593*g**4 - 207*g**2 - 141*g**6 wrt g.\nAnswer: -16920*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*t + 154 = 76*t for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 - 5. Which is smaller: 0 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -4*l**4 + l**2 + l + 2. Let m(o) = 28*o**4 - 7*o**3 - 7*o**2 + 138*o - 8. Let y(s) = -m(s) - 4*p(s). Find the third derivative of y(z) wrt z.\nAnswer: -288*z + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i**2 + 0*i**2 + 2*i**2 - 70 + 70 - 34*i**2 - 3*i**2 + 3*i**2 + i**2 + (-2 - 2 + 1)*(-3*i + 3*i - 2*i**2) as w + z*i + f*i**2 and give f.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -20.4 + 19. Let s = -1.2 - a. Is s bigger than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 5*c - 21 = 0, 3*a - 3*c - 39 = 2*c. Suppose 3*q + 27 = -270. Let u be (-207)\/(-11) - a\/q. Calculate the greatest common divisor of u and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*j + 17 = 5*x - 43*j, -x = -j - 4 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 - 16*b**2 - 16*b - 20. Suppose 42 + 18 = -4*o. Let n be t(o). Is -5 less than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/285 or 1?\nAnswer: 2\/285","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*w = 171*w - 29807 - 19906. What is the remainder when w is divided by 40?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*j + 40 = 13*j. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/10 - (396\/(-45) + 7). Let o be (-104)\/(-65) - a\/(-5). Solve -h = -o*h - 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -715*i + 2556. Is 20 a factor of g(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3818, 14443, 32150, 56939?\nAnswer: 88810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/(-2))\/((-4)\/432*-2). Suppose 3*y = 6*y - j. Calculate the remainder when 23 is divided by y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -5*s + 60, -3*n + n = 10. Let p(q) = -11*q**2 + 13*q - 29. Let f(l) = 7*l**2 - 9*l + 19. Let u(a) = 8*f(a) + 5*p(a). Is u(s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -0.5, -2\/9, 4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of d**6\/240 - 279*d**5\/40 + 77841*d**4\/16 - 7239213*d**3\/4 + 17*d**2 - 2*d - 5. Factor h(i).\nAnswer: (i - 279)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 w when four letters picked without replacement from lwlwflwlpllllplfwwwl?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -6d02 (base 14) to base 2\nAnswer: -100101001000110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**2 - g**2 + 0*g**2)*(0 + 4 - 2) - g + g + g**2 - g**2 + 0*g**2 + 3*g**2 + (2*g - 5*g + g)*(-1 + 1 + 2*g) - 2*g**2 + 3*g - 3*g.\nAnswer: -7*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 AM and 1:15 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30*y - 557*y**2 + 478*y**2 + 32*y to f*y**2 + j + b*y and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -856 * -0.3.\nAnswer: 256.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aieaebliibbax. What is prob of sequence lbaa?\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1344020?\nAnswer: 2, 5, 17, 59, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**2 - 1 + 0 + n + 2*n**2)*(17 + 11 + 18 + (-1 + 3 - 1)*(2 + 0 - 3)) + (-20 + 3*n + 20)*(-n + 2*n + n) - 4*n**2 + 7*n**2 - 2*n**2.\nAnswer: 97*n**2 + 45*n - 45","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/7 (b) -4\/11 (c) 2 (d) -5\/27 (e) -178\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 251 - 260 = j, 3*a + 22 = -2*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 0.4, 5, 7, 182\/15, -3\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -16325558 (base 10) in base 14?\nAnswer: -224d794","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -6*x. Let g be 20\/((-20)\/(-5))*5. Let a(f) = 25 + 2*f**2 - g. Give a(p(r)).\nAnswer: 72*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 14\/(-12) - 6120\/(-3024). Which is bigger: z or 0.0318?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 + 7*f**2 + 5*f - 6. Determine v(7).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 + 25. Let r = u + -37. Solve 0 = -4*n + 12, -30 = -5*q - 3*n - r for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/18 and -149\/24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3116*d**3 + 7*d + 20?\nAnswer: -18696*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 142480463 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7.9 + 20. Let j = -18 + w. Let v = 4.9 + j. What is the biggest value in 4, -47, v?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 26.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (1212\/(-180) - -6)\/(616\/(-504))\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2010002 (base 4) to base 11\nAnswer: 6392","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of j**6\/120 + 4*j**5\/15 - 5*j**4\/24 - 35*j**3\/3 + 233*j**2. Let v be k(-16). Solve -6*b + v = -b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, e: 6, v: 3, f: 3, x: 4}. What is prob of picking 1 e and 1 x?\nAnswer: 8\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1974260 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: Put 6, 5, -44, -25 in descending order.\nAnswer: 6, 5, -25, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = -5*x + 4632 - 4631, -q + 2*x + 4 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150 is divided by 72?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/(3 + (-14)\/4). Let i be (-12)\/y + (-46)\/(-8). Suppose -2*x - i = -3*p, 5*p - 7 = 4*x - x. Is p < -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.116 + 2.234. Let p = n - 0.35. What is the closest to -1 in 1\/2, p, -3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4432?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -238.9999984 + 239. Round p to seven dps.\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -90 + 104. What is the tens digit of (-7)\/w*(0 + 122)*-6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 + 12*o**2 + 7. Let w be a(-12). Suppose w*t = 2*t + 175. Suppose 2*y = t + 25. What is the remainder when y is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-77 + 77 - z)*(1 + 2 - 5) - 51*z + 452 - 452 - 4*z - 2*z + 4*z - 5*z + 2*z + 2*z - 2 + 2 + 2*z + (2 + 2*z - 2)*(-1 - 1 + 4) as s + w*z and give w.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 114 + -111. Which is the nearest to m? (a) 0.1 (b) 2\/7 (c) -1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1699 + -1695. Let c be 7 + -3*(-2)\/(-3). Suppose c*r - 15 = -2*n, -3*r + r - 23 = -5*n. Solve n*v - 4*p = 26, d*v - p - 7 = 5 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.09 + -8.91. Let v = 3.44 + 5.64. Let c = r + v. Is -0.1 greater than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4103 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of -5\/8*l**4 + 1\/20*l**5 - 6*l**2 + 11 + 0*l + 3*l**3. Let u(t) be the second derivative of w(t). Factor u(x).\nAnswer: 3*(x - 3)*(x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 4*a + 2. Let q(s) = -35*s - 52*s - 5 - 31*s + 107*s. What is 8*b(c) + 3*q(c)?\nAnswer: -c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42 and 4242?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 586372892?\nAnswer: 2, 7, 37, 565997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one fifths of a second in milliseconds?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -4*o + 6*o**3 + 2*o**2 + 0 + o + 1. Is v(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 95 = 5*d, -7*h + 5*d - 85 = -2*h. Let x = h + 28. What is the remainder when 26\/(-4)*2*-1 is divided by x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -62*0.038\nAnswer: -2.356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -31, -94, -201, -358, -571, -846?\n\"Answer: -z**3 - 16*z**2 - 8*z - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/3, 2\/173, 0.03, 2\/151?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 34*n**4 - 13*n**3 - 3*n + 13. Let h(k) = -17*k**4 + 6*k**3 + k - 6. Let i(a) = 13*h(a) + 6*v(a). Find the second derivative of i(u) wrt u.\nAnswer: -204*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/1473525 and -163\/4584300.\nAnswer: 41258700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 17*s + 46. Let a(r) = 2*r - 1. Let o(b) = -10*b - 13. Let t(j) = 2*a(j) + o(j). Determine 4*m(g) + 11*t(g).\nAnswer: 2*g + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-1155)\/(-99) - 200\/30\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -20\/9 and 27\/26.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*t = 25*t + 24. Calculate the highest common factor of t and 159.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7906815 millennia to decades.\nAnswer: 79.06815","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l**(-1\/9)*l*l**6)\/(l**(-2\/15)\/(l\/l**5)))**(-3\/29))**(-3\/34) assuming l is positive.\nAnswer: l**(4\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -14*s**3 - 17*s**2 + 17*s + 17. Let l(q) = -5*q**3 - 6*q**2 + 6*q + 6. What is 17*l(h) - 6*m(h)?\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/35, 1\/8, 2\/9, 5, -0.03 in descending order.\nAnswer: 5, 2\/9, 1\/8, -1\/35, -0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6c9 - -3?\nAnswer: 6cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the third derivative of 3*p**8\/56 + 11*p**7\/70 - 3*p**6\/40 - p**5\/10 - 44*p**2. Solve l(m) = 0 for m.\nAnswer: -2, -1\/3, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3a2f3 (base 16) to base 5\nAnswer: 30111243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 2*i = 2*i + 132, -94 = -3*u - 5*i. Let x = 113 - u. Let s = 74 + -45. What is the remainder when x is divided by s?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/305, 6\/7, -77, 10.\nAnswer: -77, -1\/305, 6\/7, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i**2 + 25313*i. Let q(t) = 11*t. Determine a(q(s)).\nAnswer: -242*s**2 + 278443*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - -2 - (19 - 14).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -12, -23, -32, -39, -44?\n\"Answer: y**2 - 14*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -0.08, 9\/4, 0.4, 2 in descending order.\nAnswer: 5, 9\/4, 2, 0.4, -0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at most 216050?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 215449, 214946, 214443, 213940, 213437, 212934?\n\"Answer: -503*c + 215952","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**2 - 19125*z + 134120.\nAnswer: -5*(z - 7)*(z + 3832)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a second in microseconds?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 351*a**3 - 18*a**2 + 34*a. Is h(2) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 93050 + -372193\/4. Factor 5\/4*h**2 + 1\/2*h - r*h**3 + 0.\nAnswer: -h*(h - 1)*(7*h + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2120222101 (base 3) to base 13.\nAnswer: -1a2b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 2656233\/162*(-3 - 26\/(-6))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -979 + 1097 = 2*u. Find the second derivative of -15*l**3 + 36*l**2 - 77*l**2 + 41*l**2 + u*l**3 - 192*l wrt l.\nAnswer: 264*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + v = 264, 3*l + 5*v + 4 = -392. Let s = l - -32. Let g = 153 + s. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = 4*w + 123, 4*w = -2*p - 0*p + 66. Suppose 1 + p = -4*n. Let a(t) = -531 + 1590 - 528 - 523 + 3*t. Give a(n).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 + (-2 - (-77)\/15). Let w = -479\/546 - -4\/91. Let j = w - -1\/2. What is the nearest to j in u, -2\/13, -3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 9:27 PM?\nAnswer: 5:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -2*o**3 + 2*o**2 - 2*o + 1. Let y(f) = 108*f**3 + 13*f**2 - 12*f - 193. Let u(d) = 6*r(d) - y(d). Find the third derivative of u(n) wrt n.\nAnswer: -720","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 4 + 5)*(0 - 4 + 2)*((-3*h - h + 2*h)*(14 + 3 + 1) - 2*h + 22*h + 18*h) to the form j*h + r and give j.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 20287 - -334?\nAnswer: 20632","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 31*g**2 + 320*g - 2501. What is z(7)?\nAnswer: 1258","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-12))\/((-8)\/176)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 708*v - 2061*v + 896*v + 701*v.\nAnswer: 244*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 - 21*m**2 - 22*m + 7. Let b be s(22). Let g(l) = -l - 2. Let o be g(b). Let q = o + 10. Solve 4*v - q = x + 20, v + 5*x = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12224794733 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3.62 * 2.2\nAnswer: 7.964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2. Let k be (-23)\/3 - -2 - (-13)\/(-39). Let v(g) = g**2. Let x(u) = 2*u**2 - 2*u - 1. Let o(f) = k*v(f) + x(f). Give -5*h(l) - o(l).\nAnswer: -l**2 + 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-5)*15*1. Let a(m) be the third derivative of 7*m**5\/60 + m**3 - 22*m**2 - 2*m. Let g(v) = 6*v**2 + 5. Calculate r*g(k) - 5*a(k).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 1*3 - (-82 - 281)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4\/7, 0.2, -0.327, 0?\nAnswer: -0.327","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**4\/11 + 687356*v**3\/11 - 59057283842*v**2\/11.\nAnswer: -2*v**2*(v - 171839)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6194894732 to the nearest integer?\nAnswer: 78708","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 93 - -86. List the prime factors of x.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12373, 12372, 12373, 12376?\nAnswer: 12381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 4*c - 23756, -2*c + 0*f - 5*f + 11854 = 0. What are the prime factors of c?\nAnswer: 2, 2971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + -20 - (-1 + -2 + -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 172 minutes after 2:00 PM?\nAnswer: 4:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 + 21*w**2 - 37*w - 8. Let l be m(19). Let r = 101\/9 - l. What is the closest to 3 in -1, r, 3\/2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 406 - 1625\/4. What is the fifth biggest value in h, -3, 2, 11\/5, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 5 = -30. Suppose -i*h = -3*h - 176. Calculate the remainder when 173 is divided by h.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19*-63709\nAnswer: -1210471","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 - 2*b**2. Let m be s(3). Let j be 24*2\/27 + 2\/m. Let z(q) = -q**2 - 2*q + 2. Calculate z(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of -37*b**9\/504 - b**6\/120 + b**5\/60 + 8*b**4 + 28*b**2. What is the third derivative of j(v) wrt v?\nAnswer: -4440*v**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -928 - -1066 - (70 - 3)\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 223 (base 15) to base 11.\nAnswer: 3aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 5 = 17 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -431232 (base 5) to base 8\nAnswer: -34347","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2112 (base 12) to base 7.\nAnswer: 13352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = j - 4*c, 2*j - 2 = -2*c - 4. Let i(d) = -d + 1. Let q be i(-7). List the prime factors of j*9*q\/24.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 2) to base 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -166 - -96. What is o rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(13\/2)\/(d**(-2\/13)*d)*(((d**(19\/4)\/d)\/d*d)\/d)\/d**(-2) assuming d is positive.\nAnswer: d**(541\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 40*p + 42 - 11 - 20.\nAnswer: 40*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minus -2237159464?\nAnswer: 2237159470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7673 - 7641. What is the remainder when 62 is divided by h?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-24)\/10 + (-24)\/40. Let x = 13 - w. Which is smaller: 17 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -0.04, 4\/12807, 4, -0.02 in descending order.\nAnswer: 13, 4, 4\/12807, -0.02, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2384561 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*g - 4*y + 8, 2*g - 11 = -315*y + 310*y for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1522 by 258.\nAnswer: -761\/129","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 98, 98, 94, 86, 74, 58, 38?\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -960 divided by -960.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -22*r + 18. Let q(l) = l - 1. Let u(x) = 2*m(x) + 36*q(x). Let j(s) = -18*s**2. Give u(j(h)).\nAnswer: 144*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (624\/288 - 16\/6)*-3.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508 minutes after 4:20 PM?\nAnswer: 12:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -398 - -836. List the prime factors of g.\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 2:18 AM?\nAnswer: 1:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from krllb. Give prob of sequence ll.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -65\/316 and 79\/40.\nAnswer: 3160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*b + 768150 + 233514 = 0. Calculate the remainder when b is divided by 86.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - -1)\/(11\/22). Suppose -2*c = -7*c. Solve -5*o + z*o = c for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.3 - -0.7. Let d = 1.05 - 0.25. Let z = d - t. Put -2\/7, 3, z in increasing order.\nAnswer: -2\/7, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7*(-1 + (-1388)\/(-1390)). Let m = -1592605313\/278 - -5728790. Let h = t + m. Find the common denominator of h and 37\/11.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1817.\nAnswer: 23, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - -55022?\nAnswer: 55016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - 3*d - 12. Let z be ((-4)\/16*-4)\/(12\/(-60)). Sort 2, z, -1, d in decreasing order.\nAnswer: 2, -1, d, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 521 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-seven quarters of a tonne?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-1\/4)*v)\/(v*v\/(v**(-1\/7)*v))*(((v*v**1*v)\/v)\/v)\/(v\/(v\/(v*v\/(v*v**(-1))))*v*v)*((v**2)**1)**21 assuming v is positive.\nAnswer: v**(1109\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-240 - -229) + 5 + -21\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-56))\/(28 + 33432\/(-1176))?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -3*o. Let i be (-31)\/7 + (-9)\/(-21). Let p be (3 + 0)*i\/(-6). Let f(d) = 8 - 4 - 4 + d**p. Calculate f(g(j)).\nAnswer: 9*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -909a (base 12) to base 7\nAnswer: -63454","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*d + 20*d + 1112 - 782 = 0 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1235699?\nAnswer: 41, 30139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*k**4 + 6*k**4 + 0*k**4)*(1 - 2 - 2) + (21*k**2 - 591*k + 591*k)*(0*k**2 + 5*k**2 - 6*k**2) as y*k**3 + i*k**4 + h*k**2 + a + t*k and give i.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by -4027\nAnswer: -2\/4027","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 21.2*2.5067\nAnswer: 53.14204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - (-13 + 21)) + (-2 - 0) - -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/3)\/i**(-6))**(-1\/7)*i**(-5\/4)\/i**(-2\/11)*i**2\/(i\/(i*i**(3\/7))*i) assuming i is positive.\nAnswer: i**(-547\/924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 AM and 9:25 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - n = 3*n - 8, 0 = 3*n for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1847 + -1851. Let d(h) = -4*h**2 - 15*h + 3. What is d(u)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((l*l**(-3\/7))\/l))\/(l\/l**(-2))*l**(-2\/29)\/l**(-8)*l**(-1\/4)*l**(1\/5)*l*(l\/(l*l\/l**(1\/4)*l))**6 assuming l is positive.\nAnswer: l**(-12953\/4060)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 143 a factor of 5299151?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97018 is divided by 17423?\nAnswer: 9903","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -3*x + 28, -2*x + 1 = -3*x. What are the prime factors of w?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.47 + 0.436. Let q = p + 16.434. Let i = q + 10.5. What is i rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 228 and 3333664.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -71*t - 68. Determine y(-2).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*h**2 + 0*h**2 + 316 + 13*h**4 - 318 in the form t*h**4 + v + s*h + n*h**2 + w*h**3 and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 5*w = -2*m + 9, 5*w + 5 = 5*m. Suppose h = m*y + 83, -4*h + 3*y + 220 = -137. What is the tens digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -14.44 and -1.1.\nAnswer: -15.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1809206 != 1809232?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 2*o = w - 6, 4*w + 5*o = 15. Suppose 94 = 2*r - w. Does 15 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/4*(2736\/108)\/(-38)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 - 36*k + 610. Suppose -y + 338 = y. What is the remainder when y is divided by f(12)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 315 and 105.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 14) in base 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 4*l + 2 = 0. Let x be (1\/l)\/(-1) - -1. Suppose -3*r + x*r + 187 = 0. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3b6a84 (base 15) in base 5?\nAnswer: 1212420444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8112358949 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 266 - 6*r - r**3 + 6*r**2 - 427 + 159. What is w(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2372063 is divided by 42356.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/6*6\/2. Let x be 2*(-1 + -400) - (31 + -35). Let s be (-3 - -2)\/(x\/132 + 6). Solve s = -4*l + 2*o, 3*o = m*l + 7*o + 4 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*x = 35*x + 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -534 - 1329 - 11851*i + 5977*i + 5876*i.\nAnswer: 2*i - 1863","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 10 = 3*x. Let b(q) = 2*q + 104. What is the remainder when b(-33) is divided by x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.39 - -0.09. Let a = 11 + -15. Let r be ((-3)\/(-4))\/((-6)\/a). What is the second smallest value in r, y, 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -115864.5886 to the nearest ten.\nAnswer: -115860","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 40 (b) -0.5201 (c) -1\/6 (d) -2\/9 (e) 9\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 484 is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - -11 - 3 - (23 - 16).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11308921?\nAnswer: 13, 293, 2969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -948 - -1358. Is 0 < u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1008206.\nAnswer: 2, 504103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the second derivative of 71*k**8\/56 + k**7\/21 + 17*k**4\/4 - 7*k**2\/2 + 234*k. Find the third derivative of d(q) wrt q.\nAnswer: 8520*q**3 + 120*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = m - 30. Solve -2*f - 4 = -a + m*a, 8 = a - 4*f for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19 - -14. Let u(c) = c. Let k(w) = -3*w + 1. Let g(h) = z*u(h) - 2*k(h). What is the units digit of g(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/1 - (-3 + (-17)\/(-5)). Let w = 3.63 - -0.37. Which is the third smallest value? (a) t (b) 5 (c) 6 (d) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 2 = 64. Suppose 26*p - 280 = z*p. Calculate the highest common factor of p and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -40 + 70. Is 30 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1645728 + 202.\nAnswer: -1645526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 3. Differentiate k*l**3 - 51*l**3 + 66*l**3 + 139 + 4*l**3 + 114*l**3 with respect to l.\nAnswer: 405*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 4*z + 60 = 0. Let j = 21 + z. What is the highest common divisor of j and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 130 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 31321223310 (base 4) in base 13?\nAnswer: 9a7901","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-28)\/(-10))\/((-14)\/(-21490)).\nAnswer: 2, 7, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16423886 a multiple of 323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -7, -18, -8.8, 2, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 64 = -2*s, -2*s - m + 25 = -3*s. Is (-6)\/s - (-51785)\/45 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + -5 - -2*8\/2. Suppose -v*c - 5*r = -4 - 1, 3*c - 15 = 3*r. What is the remainder when 11 is divided by c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 d, and 2 h when four letters picked without replacement from {n: 2, h: 2, q: 2, d: 1, k: 1, l: 5}.\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -15 - 3*b + 4*b - 2*b. Let g be r(-10). Put g, -3, 4 in decreasing order.\nAnswer: 4, -3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42, 168, 374, 660, 1026?\nAnswer: 1472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -736090 by -5.\nAnswer: 147218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27662 is divided by 1383.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -17*p. Let a(h) = -10 - 334*h - 323*h + 659*h. Determine a(d(w)).\nAnswer: -34*w - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*r**2 + 4*r**2 + 0*r**2)*(-r - 4*r + 6*r)*(13 + 171 + 61) to the form m*r + k*r**3 + l + n*r**2 and give k.\nAnswer: 245","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 452 + -2 - (-8)\/(-4) a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28289644 to the power of 1\/3, to the nearest integer?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -408cf9c4 - -4?\nAnswer: -408cf9c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -238, 134, 14, 5, -34 in ascending order.\nAnswer: -238, -34, 5, 14, 134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1663*x**2 - 4*x + 64976 wrt x.\nAnswer: 3326*x - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*c**2 + 5*c**2 + 3*c**2 + 1)*(21 - 21 - 16*c**2) - 6*c**4 + 9*c**4 - 6*c**4 - 35*c**2 to t + l*c + q*c**2 + w*c**4 + z*c**3 and give q.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 + 7*q - 6. Let j be -10 - ((1 - -1) + -4). Let r be (-32)\/(-6) + j\/24. Suppose 2*h + r*h = 28. Calculate m(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001494316372 rounded to six decimal places?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 956 or 13367\/14?\nAnswer: 956","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 663683020?\nAnswer: 2, 5, 7, 11, 13, 33151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -35 + -48a?\nAnswer: -4c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-5))\/(-10 + 4 + 4)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 8 = -4*x - 2, -a - 3*x = -11 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**5\/5 + 6*o**4\/5 - 8*o**2\/5.\nAnswer: 2*o**2*(o - 1)*(o + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -561510 divided by -3303?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.8 + -4.9. Let q = c - -0.3. Let m be (-2)\/(-1 + 3)*-1. Which is smaller: q or m?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 292*f. Let y be ((-51)\/(-102))\/((-2)\/(-700)). Let i(p) = y*p**2 + 176*p**2 - 353*p**2. Give i(d(v)).\nAnswer: -170528*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 50*n**2 + 24702*n - 48607. Give w(-496).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/25 of a gram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + -7. Let r = -29\/4 + 15\/2. Which is the nearest to r? (a) u (b) -5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-844)\/(-2110) + (-2)\/(-6) + 23\/(-45).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 11639, 23233, 34825, 46415?\n\"Answer: -m**2 + 11597*m + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 + 2)\/(-3 - -5). Let w(b) = b - 1. Let c be w(u). Let q(g) = -11*g**3 + g**2 - g - 1. Let f be q(c). Solve 2*v = 5*p - f, 0*p = 2*p - v - 4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -635 - -1267\/2. What is the nearest to -1 in y, -0.4, 42?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-330)\/12)\/((-25)\/20). Suppose 0 = -60*w + 338 + a. What is the greatest common divisor of w and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, q: 1, n: 1, l: 2, r: 1, z: 1}. Give prob of sequence zbnr.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 459851 is divided by 459835?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 571779, 1143416, 1715055, 2286696?\n\"Answer: h**2 + 571634*h + 144","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1552 + -1550. Suppose -4*y + 43 - 15 = 0. Solve 4*q = -j*x + 16, y*x + 2*q - 10 = 5*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 2 = -2*d, 2*f - 9*d = -8*d - 9 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 b, and 1 w when three letters picked without replacement from bqqwqeewwmmw?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = -4*s + 19, 5*z = 4*s - 175 + 226 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:30 PM and 11:52 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v - 5*s - 2, -8*v + 3*v = 3*s - 10. Solve -4*j = -5*w + 11 - 3, 0 = 2*j - v*w + 4 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - 12. Is 755 + 6\/(-3) + q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 8 + 2 = 0. Suppose -5*d - 2*q + 1253 = 0, d + q = u*d - 252. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/3? (a) 0.1 (b) 31 (c) -5 (d) 5 (e) -1.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -9, 50, 215, 540, 1079?\n\"Answer: 9*z**3 - z**2 - z - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 881\/3 or 293?\nAnswer: 293","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 3712092037 to the nearest 1000000.\nAnswer: 3712000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 - 10*h - 5. Let v be f(-9). Let r be ((-3)\/2 + 1)*0. Suppose -m - 3*i + 21 = r, i = -m + 3*i - 4. Solve v*u + m = -2 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 9 + -4 - (-7 - -8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 PM and 3:06 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3458600 rounded to the nearest 10000?\nAnswer: 3460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2644*q - 193*q - 578436. Let f = -11 - -15. What is the greatest common divisor of f and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the second derivative of 5*x**3\/6 + 3*x**2\/2 + 4*x. Suppose 4*q + 2 = -2, 8 = -3*h + q. Determine o(h).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -52 + 55. Solve x = u*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 3 - 2 + 1 + 1 + 0 + (2 - 3 - 1)*(-4 + 4 + 1) + 0 + 6 - 3)*(-36*z**2 + 19*z**2 + 35*z**2) in the form q*z**2 + c + h*z and give q.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l**4 - 153*l**3 - 600*l**2 - 261*l = 0. Calculate l.\nAnswer: -3, -1\/2, 0, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001818634733 rounded to four decimal places?\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 45\/4 of a millennium?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10244 = 4*u - 4*q, -7769 = -4*u + 2*q + 2465. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4888 = -4*c + 4*n, 2*n - 2452 = -c - c. Is c a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(1539) + (sqrt(1539) - (sqrt(1539) + (sqrt(1539)*3 + sqrt(1539))*-1 + sqrt(1539)))) + 5*(sqrt(1539) + 1)*-5)**2.\nAnswer: 18450*sqrt(19) + 2587684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000001100000001101111 (base 2) in base 11?\nAnswer: 12366a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 14*j = 10*j, 4*q = 6*j + 20. Suppose 4*f - y = 3*f + 21, q*f + 5*y - 63 = 0. Is f > 26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 - -30. Suppose -1 = -4*o + n. Suppose 2*k + 24 = 4*k. What is the highest common factor of k and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1128497 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*q + 0*q - q)*(-2*q**2 + 4*q**2 - 3*q**2).\nAnswer: -6*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6\/5, 3, -2\/3, 337, -611?\nAnswer: 337","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 12 - g**2 - 4 + 5*g + 0. Let z be a(6). Solve -2 = z*o - 3*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 254 divide 7933690?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10916411 is divided by 1589.\nAnswer: 1570","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18688923.41 - 65502.\nAnswer: -18754425.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -131*k**6 + 3*k**5 - 174*k**2 wrt k.\nAnswer: -15720*k**3 + 180*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.41 - 31.41. Let b = -31.2 - a. Sort -4, 0.2, b, 0.03 in descending order.\nAnswer: 0.2, 0.03, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29484.\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1134, -2361, -3588, -4815, -6042, -7269?\n\"Answer: -1227*t + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1398264.7855 to the nearest ten.\nAnswer: 1398260","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1505356.36 rounded to the nearest 100000?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.9607203 to one decimal place.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = -2*t + 5, -t = -3*j + 2*j - 1 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 385\/2 + -189. Factor w**4 - a*w**3 - w + 7\/2*w**2 + 0.\nAnswer: w*(w - 2)*(w - 1)*(2*w - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -159 + 169. Suppose h + m = -5*f, -h + 4*f - 3 = -4*h. Solve 4*o - d + 10 = 0, -23 = h*o + 2*d + 2*d for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 0) + (-1 - -7) + -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -0.8, 1\/6, 5\/28, -2\/7 in descending order.\nAnswer: 5\/28, 1\/6, -2\/7, -0.4, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 + 7*s + 2. Suppose -9*d = -4*d - y - 27, -3*d = -3*y - 21. Suppose -d = -3*w + 5*q + 8, 0 = 3*q - 3. What are the prime factors of v(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -63, -5, -4.\nAnswer: -63, -5, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does -205\/2027 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of y**5\/20 + 17*y**4\/12 + 10*y**3\/3 + 5*y**2\/2 - 3*y. Let j be (-65)\/(-26)*((-48)\/2)\/4. What are the prime factors of b(j)?\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 + -26. Let k(u) = -u**3 - 9*u**2 + u + 6. Let h be k(q). Let d be (-32)\/24 - 16\/h. Let i(n) = n**3 - 3*n**2 - 4*n - 4. Calculate i(d).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 16*q + 19*q + 16*q to n*q + t and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = 5*p - 395, 2*n - 179 = 2*p - 9. Let y = n - 53. Suppose -5*b - y = -2*m - 88, -3*m = 4*b - 61. Is 3 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.5 - -20.555.\nAnswer: 26.055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -80 + 79.914. Let u = -0.014 + i. What is the closest to 1 in u, -3\/4, -2\/15?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 87 - 83. Let u be ((-93)\/(-62))\/((-2)\/36*n). Solve 2 = -5*f + u for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 5*w + 10, 0*w - 4*w = -v - 3. Suppose v*d - 21 = 99. Does 12 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -o**3 - 5*o**2 + o + 1. Let x be p(-5). Let r be 25*x\/2 - -5. Let b be (1*15)\/(r\/(-10) + -3). Solve 4*c - 18 = -b for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -37284 by -3.\nAnswer: 12428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 51\/2 and -99\/118.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 9 from 7.98.\nAnswer: -1.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to -432\/68425?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + c - 9 = -c, 0 = 4*h - 2*c + 6. Let p be 5\/75*h*-5. Is p less than -4\/61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9430819109 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6\/9)\/((-4)\/(-18)). Suppose 2*b + 3*b = 0, -d*l + 15 = 2*b. Let z = 11 - 6. Solve -i + 13 = -3*v, 4*v - z*i + 15 = l for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2506 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.03? (a) -24\/13 (b) -927 (c) -2\/9 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6.7 + 18.3. Let x = 31 - z. Is x at least 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -39*p + 81. Calculate a(-1).\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 224420.7102 and 877.\nAnswer: 225297.7102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 483289 to the power of 1\/4, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of 0*x**3 - 28*x**2 - 37\/20*x**5 + 0 + 0*x**4 + 174*x. What is the first derivative of u(k) wrt k?\nAnswer: -111*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1431 (base 5) in base 16?\nAnswer: f1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 53584399541 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.0926806491424 and 3.5.\nAnswer: 3.5926806491424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1150 and -0.6.\nAnswer: -690","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y. Let q be u(-3). Let s = 11 - q. Suppose 0 = -5*v, d - 7*v = -8*v + 11 - 6. Calculate the highest common divisor of s and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 - 3*a - 6. Let q(i) = -i**3 + i**2 + 3*i - 2. Let x = -26 + 27. Let y be q(x). Suppose -2*c - 2*p + 18 = 0, 2*p = -5*c + 34 - y. Give k(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31991\/6 + -5332. Which is the nearest to -0.1? (a) g (b) 3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4395840 divided by -57?\nAnswer: -77120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 31760621, 31760620, 31760619, 31760618, 31760617?\n\"Answer: -i + 31760622","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = a + 5*y - 6, 4*a + 36 = -4*y. Let l be (-6)\/(-5)*(-20)\/a. Let q be (-6)\/(-4)*l\/6. Solve q = s - 0*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**2 + 6*f + 4. Give p(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -118.5 + 120. Which is the fourth smallest value? (a) -3\/5 (b) -3 (c) -1\/3 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 169919 = 50*a + 169369 for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 928502327.\nAnswer: 928502327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**18)**(-38\/7) assuming j is positive.\nAnswer: j**(-684\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 106201899301 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -102 - (-3 - -17 - (0 + 30 - 31)).\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11040.\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wgkgugu. What is prob of sequence gu?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 4*i**2 + 0)*(-i**2 - 2*i**2 + 0*i**2) - 5*i**4 - 4 - 18*i**2 + 71471*i**3 - 71471*i**3 as j*i**3 + v*i**2 + w + t*i**4 + z*i and give t.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1 - -1)\/(14 + 3384\/(-243)). Suppose -5*o + 47 = -68. Which is greater: w or o?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 w, and 1 p when three letters picked without replacement from jpwvjpwjjvpj?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 42230 and 7804104.\nAnswer: 39020520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*x + 100 = 47*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 106*o. Let l(y) = -121*y**2 - 86. What is s(l(a))?\nAnswer: -12826*a**2 - 9116","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 97 - 97. Solve -5*w = -c - 5 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 637, 964, 1521, 2314, 3349, 4632, 6169, 7966?\n\"Answer: f**3 + 109*f**2 - 7*f + 534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from whwwwwwhwwh. Give prob of picking 2 h.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3369647?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -967 - -985. Solve 12*r - 24 = w*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of -2*l**3\/3 + 19*l**2 - 160*l + 1543. Give n(5).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32.53*2.\nAnswer: -65.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -3*c + 8 + 4*c**2 - 3*c**2 + 2*c + 5*c. Let l be f(-4). Suppose l = 4*w - 2*w. Let j(h) = -2*h + 6. What is j(w)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14995 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 4*i**2 + 66124*i + 264432 = 0.\nAnswer: -16527, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = v + 208 + 68, 2*d = 3*v + 559. Calculate the remainder when d is divided by 25.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + 9 + (4 + -784)\/13.\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 556200?\nAnswer: 2, 3, 5, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.238 - 195.762. Let b = -195.82 - w. What is b rounded to 1 dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 + -7 + 1 + 2. Suppose r = 3*z + 2*f - 49243, 22*z = 27*z - 4*f - 82057. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f - 1. Let q(v) = -8*v**2 + 8*v - 8. Give -q(p) + 8*z(p).\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 43873357*j - 50833602.\nAnswer: 43873357","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 66039*f**3*q**2 - 604*f**2*q**2 - 16*f**2 wrt f.\nAnswer: 396234*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5280*x**3 - 5936*x**2 + 1976*x - 164 = 0.\nAnswer: 41\/330, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 572888437 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 2845746?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -6*w**2. Let h = 17 - -2. Let f(g) = -h*g - 12*g + 33*g. Calculate y(f(i)).\nAnswer: -24*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 392871 to the nearest integer?\nAnswer: 627","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 < 170?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 568127?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qutqqttttquq. Give prob of picking 3 t.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = -8*u + 70. Let x = -14 + u. Which is bigger: 20 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 3. Let l(f) = f - 4. Let g be l(8). Suppose x + g = 2*p, -p + 9 = 2*x + x. Which is the smallest value? (a) x (b) r (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) - (sqrt(13) + 0 + sqrt(13))) + -3 + -5 + sqrt(130)\/(6*sqrt(20)\/sqrt(2)) - ((1*sqrt(104)*3 - sqrt(104))\/sqrt(8) + 5*sqrt(117)*-2))**2.\nAnswer: -1304*sqrt(13)\/3 + 347701\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -742 - -776. Solve -14 = -4*i - b for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 + 3*m**2 - 6*m + 9. Let y be q(6). Suppose 0 = -n - 4*u + 69, 5*u + y = 4*n - 42. What are the prime factors of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ha when two letters picked without replacement from ajhhajaaavfja.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yv when two letters picked without replacement from {f: 6, y: 3, v: 2, g: 2, e: 4}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4 - -1) + 2)*12. Let w be 16\/(-300)*30\/g. Factor -w*v**2 - 4\/15*v - 2\/15.\nAnswer: -2*(v + 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.5 (b) 0.014 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*j**2 + 190*j**2 + 0*j**2.\nAnswer: 251*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**2)**4*(t*(t**(2\/7)*t)\/t)\/(t**(-3)\/t))**16 assuming t is positive.\nAnswer: t**(144\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43.4294 millennia to decades.\nAnswer: 4342.94","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c**2 - 4*c - 5. Let q(f) = f**2 + 14*f + 16. Let v be q(-12). Let i be (3 - 6) + v\/2. Let p(l) = 4*l**2 - 9*l - 11. What is i*k(b) + 3*p(b)?\nAnswer: -2*b**2 + b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x + 7. Let b = -9 - -15. Suppose -5*h + 6*h = -b. Determine d(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k + 2. Let u = 26 + -30. Let j be c(u). Solve -j = p + 4*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 - 40*w - 47. What is c(8)?\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 44.5 + -36. Let s = o + -9. What is the biggest value in s, 1\/4, -9\/5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, -1, -7, -3\/20, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c + 411. Let m(x) = x + 1. Let g(y) = h(y) - 4*m(y). Is g(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 2\/143067?\nAnswer: 2\/143067","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 28\/8 - 2\/(-4). Suppose -i = f*i - 45. What is the remainder when i is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12343.56796 rounded to the nearest one hundred?\nAnswer: 12300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -4*b. Let k(n) = b*n + 3*n - 2*n. Let q(v) be the second derivative of v**3\/3 - 2*v. Give k(q(s)).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two sevenths of a week in hours?\nAnswer: 768","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 i, and 1 k when three letters picked without replacement from otkkknniik?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 + 41bb?\nAnswer: 41c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 7*h = 45. Suppose 0*a + a = h. What is the highest common divisor of 18 and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1227, -1981, -2735, -3489, -4243?\nAnswer: -4997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -345 - 3?\nAnswer: -352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 = 43*v - 52*v. Let f be (6\/(-9))\/((-4)\/48). Calculate the greatest common factor of v and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 11 = 31. Let r = -1984\/9 + 1333\/6. Find the common denominator of r and -2 + 4 + 25\/d.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 292312802 a multiple of 97?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - 2 - (-9 - (1782\/(-12))\/33)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -452.1 - -450.1. What is the second smallest value in -0.1, m, -2\/9, 3, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -64351 + 60990.9. What is w rounded to the nearest 100?\nAnswer: -3400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85*f = 75*f. Let n(t) = -2*t**3 + t**2 + t - 31. Give n(f).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/64 and -109\/73600.\nAnswer: 73600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**2 + 20*q + 11. Let t be j(-18). Let b be ((-245)\/t - 5) + (-1)\/(-5). Solve l = b*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1563.\nAnswer: 3, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-3)*s*s\/(s**(1\/6)\/s))**(-2\/83))**(-13) assuming s is positive.\nAnswer: s**(-13\/249)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = 8*n - 12 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is (-46587*(-13)\/(-78))\/(2\/(-4)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -47*t - 2*t**3 + 18*t + 6 + 4*t**2 + 28*t as l*t + m + n*t**3 + b*t**2 and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of r**3\/3 - 207. Let p(v) = -156*v**2. Calculate t(p(w)).\nAnswer: 24336*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*u - 61062 = 208890. Is 24 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from kukkoookooolkkkol.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3697137 and -3?\nAnswer: -11091411","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 10) to base 3\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1382354194 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -38170569*t - 317088. Let q(m) = 7705*m + 64. Determine -2*b(n) - 9909*q(n).\nAnswer: -7707*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -102*c + 3941 - 269. Sort 2, c, -1 in decreasing order.\nAnswer: c, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -135\/56528 or -1?\nAnswer: -135\/56528","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 856*x. Let b(v) = v. What is b(y(t))?\nAnswer: 856*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 15 = 5*l, 4*l - 2*j + 15 = j. Suppose 5*v = -l*v. Suppose 5*n - 649 + 209 = v. What is the greatest common factor of 11 and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from emzamwoo. What is prob of picking 1 o and 1 a?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 4*x + 4 = 0, 0*x + 2 = -4*p + 2*x. Find y, given that 6\/5*y + p + 3\/5*y**4 + 3\/5*y**5 - 3\/5*y**2 - 9\/5*y**3 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -a**4 - 201*a**3*m + 39*a**2 - a*m + a wrt a.\nAnswer: -24*a - 1206*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 + 1 + (5 - 2). Let c be 4*2\/v - 0. Suppose -c*r - 1 = u - 0*r, -2*u = 5*r + 5. Solve 11 = 4*p - u*l, 8*p - 2*l = 4*p + 14 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2472?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 5+-270809.9885\nAnswer: -270804.9885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/116 at most as big as -8\/185?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.06 + -0.56. Let z = -3 + 2. Let f = z - u. Which is the nearest to 1? (a) -0.4 (b) -2 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 - -8 - 4*1. Let u be 1 + t\/(-16)*-4. Let f be (78\/(-65))\/(u\/(40\/(-3))). Solve -3*h = 11 - f for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61802 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: Collect the terms in -6 - 4 + 10 + 23*a.\nAnswer: 23*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 179052786?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -145\/4 or -35?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -225 - 90. Let k = n + -53. Suppose 4*c + 300 = k*c. Does 26 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -79 times -0.4?\nAnswer: 31.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 39100.77 to the nearest ten thousand.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 7 = -n, -3*n - 16 = -n + 4*c. What is the smallest common multiple of 6\/n + 1*30 and 3*1\/2*9*2?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 20? (a) 1 (b) 0.11 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 + 50*s**2 - 221*s - 36. What is m(-54)?\nAnswer: 234","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -123669 divided by 11.\nAnswer: -123669\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -14*r**2 - 12. Let t(j) = j**2 + 1. Determine -5*p(g) - 60*t(g).\nAnswer: 10*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -638, -639, -640, -641, -642?\nAnswer: -643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -225 (base 9) to base 15.\nAnswer: -c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 24*h**3 - 2 + 12*h - 18*h**3 - 7 + 5*h**2 - 5*h**3. What is the units digit of f(8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 3*j = 15. Suppose 2*u - j = -u. Let f be u\/1 + 2*-2. Round f to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 6*g**2 + 4*g + 5. Let v be i(-2). Let u = -17 + v. Suppose -5*x - 2 = 4*w - 20, -4*x + u*w = -36. Solve 3*y = -x - 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127493354 take away -95586?\nAnswer: 127588940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((-90)\/5)*-2.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 - 8. Let u be n(0). Let d(b) = -b**3 - 6*b**2 - 4*b + 6. Let v be d(-5). Let i = 11677 - 11679. Sort u, i, v in ascending order.\nAnswer: u, i, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, b: 1, u: 4, e: 3, m: 3, n: 2}. What is prob of picking 2 e and 1 n?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p\/(p\/(p\/p**(-3\/2)))*p))**(2\/67)\/((p\/p**(-6\/5))\/(p*p**(1\/5))) assuming p is positive.\nAnswer: p**(-72\/67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 87 - 59. Let d be (1 - 5) + -10 + 62. Suppose -2*y = o - d, -4*y + y = 3*o - 135. Calculate the highest common factor of q and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1355 - 185?\nAnswer: -150a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/50 - (5 + 13752\/(-600)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -95*r**3\/7 + 1522*r**2\/7 - 1457*r\/7 + 30\/7.\nAnswer: -(r - 15)*(r - 1)*(95*r - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1602, -3203, -4804, -6405, -8006, -9607?\nAnswer: -11208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 4751, 4205, 3309, 2075, 515?\n\"Answer: 2*v**3 - 187*v**2 + v + 4935","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*b - 15 = 24 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, q: 2, u: 3, y: 3, t: 5}. What is prob of sequence eq?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2. Let s be -9 - -17 - 0\/(-2). Suppose 3*c - 73156 = -25798. Let k(u) = -15786*u - 4*u**2 + c*u. Give s*o(h) + 3*k(h).\nAnswer: -4*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3d3 - 13?\nAnswer: -406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 417 + 2*x - 8*x**2 + 2*x + 3*x - 406. Give g(4).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -325*c + 140 = -353*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -57 (b) 0.46 (c) -1\/7 (d) -3.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 6*p - 13. Let o(q) = 13*q**3 + 3*q**2 - 1. Let m be o(p). What is the lowest common multiple of ((-138)\/m)\/((-6)\/20) and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4361059 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(((-3)\/12)\/(1\/(-20)))?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30902324 + 14*h**2 + 30902324.\nAnswer: 14*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 630.7564 - 631. Let m = 0.26 + b. What is m rounded to 3 decimal places?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 38382614.3 and -0.083?\nAnswer: 38382614.383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 760582421 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*w**2 - 5*w - 2*w**2 + 5*w**2 + 16*w to the form h*w + y + v*w**2 and give h.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 75.1 (b) -1 (c) 3\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-16)\/(-4)*43\/2*-1. Let c = g - -90. Is c\/12*0 + (-5044)\/(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 4) to base 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -5 - (-12 + 16 + -2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10931 is divided by 24?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 67 = -73. Sort 0.3, -7, m, 0.\nAnswer: -7, m, 0, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -12*j + 10*j - 3*w + 5, 77*j = w - 3 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1244332 or 1244330?\nAnswer: 1244330","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 51.1 - 55. Let u = 1.1 - d. Let j = -2 + 1.9. Which is the second smallest value? (a) j (b) -0.4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 - 3*g + 5. Let m = -34 - -38. Let j be u(m). Let a = 7 + 38. What is the greatest common divisor of a and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35556 divided by -2.\nAnswer: 17778","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 44320 to the nearest 1000.\nAnswer: 44000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, -10, -30, -52, -76, -102, -130?\nAnswer: -160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 (base 6) in base 12?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*q**3 - q**4 + 8*q + 104 + 2*q**3 - q**3 - 117 - 6*q to the form d*q**3 + k + i*q**4 + f*q**2 + m*q and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 141851 smaller than 141846?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -6156 + 3?\nAnswer: -6153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 10*h - 307. Let u be l(31). Which is the third biggest value? (a) -2 (b) 120 (c) -1\/3 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46610405 (base 7) in base 12?\nAnswer: -145a872","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-4\/7)*b**3)**(1\/35)*(b*b**(-1\/5)\/b*b\/(b\/b**(-4\/7)))\/(b**(-8)\/b*(b\/b**5*b)\/b) assuming b is positive.\nAnswer: b**(3013\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 411204 (base 5) in base 15?\nAnswer: 3e1e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1357225245 to the nearest integer?\nAnswer: 1107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 - q. Let p(x) = -68*x**2 - 55*x. Let w(i) = -3*f(i) + p(i). Find the second derivative of w(r) wrt r.\nAnswer: -142","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 3, -0.073, 2, 92, 1.1 in descending order.\nAnswer: 92, 3, 2, 1.1, -0.073, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16435672 is divided by 16435661.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002414247799 to 7 dps.\nAnswer: -0.0000241","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -5*3*(1*sqrt(693)*-6)\/(sqrt(11) - (-1*sqrt(1100) - sqrt(11))).\nAnswer: -1 + 45*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 345 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5675*b**2*p**2 - 314*b**2*p - b*p**2 - 83*b + 241*p**2 - 11 wrt b.\nAnswer: 11350*p**2 - 628*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 112 + 598 - q - 96 as w*q + p and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of 0*b**2 - 7\/3*b**3 - 1\/2*b**6 + 0*b**4 + 0*b**5 + 0 - 11*b. Find the second derivative of f(w) wrt w.\nAnswer: -180*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 4*t = -4*h - 39, 3*h + 4*t + 33 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2489 + 2488. Which is smaller: a or 1\/75?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + -1300?\nAnswer: -1243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 27971293874711 + 0.06.\nAnswer: 27971293874711.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*s**2 + 0*s**2 - 28 + 8*s**2 - s**2.\nAnswer: s**2 - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 368a3 (base 13) to base 8.\nAnswer: 303776","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 3*k + 73 - 13 = 0, 3*d - 2*k = 65. List the prime factors of d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of 43*k**7\/84 - 217*k**6\/60 + 177*k**5\/20 - 47*k**4\/6 + 2*k**3\/3 + 6179*k. Determine l, given that p(l) = 0.\nAnswer: 0, 2\/43, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5581 to the power of 1\/2, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 64133 + -2?\nAnswer: 64131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 497 is divided by 110?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 5*g + 10 = 0, -3*q - 14*g = -16*g - 4 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 60945929 + -60945941.9999996. Let m = q + 13. What is m rounded to seven decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 10:32 PM?\nAnswer: 2:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2854*s + 52. Let q be o(9). What is the units digit of (-4)\/30 - q\/105?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -157*l**3 + 111*l**3 - 149*l**3.\nAnswer: -195*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0012827449 to 5 dps.\nAnswer: -0.00128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/46 and -47\/68.\nAnswer: 1564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 - 6*h**2 - 4*h + 7. Let r be f(-5). Let v(q) be the first derivative of -q**2 + q - q - r - q. What is v(1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 + 9*s - 9. Give f(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -174, -199, -224, -249, -274?\nAnswer: -299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 272652087 a multiple of 6490?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 56072, 56062, 56040, 56000, 55936, 55842?\n\"Answer: -s**3 - 3*s + 56076","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.5 + -2. Let h = 0.49999892 + x. Round h to seven decimal places.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1302965001 divided by -117.\nAnswer: 11136453","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -58\/5 + 184\/15. Let l = 6 + -4. Are f and l nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 144 <= 169?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (1*((sqrt(1584) + 0)*-3 + sqrt(1584) + (sqrt(1584) - (sqrt(1584) + sqrt(1584)*-2 + -4)) - (sqrt(1584) + 0 + 2)*6))**2.\nAnswer: 1152*sqrt(11) + 57090","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of -u**6\/6 + 35*u**5\/2 + 3*u**4\/4 + 8*u**3 + 105*u + 3. What is the third derivative of z(q) wrt q?\nAnswer: -120*q + 2100","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 55423020?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 465*g**4 - 259 wrt g?\nAnswer: 1860*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*t - 20 = -18*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -504 - -1064. Suppose -3*n - 77 = -k. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -52687, -52739, -52797, -52861, -52931?\nAnswer: -53007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 15\/(-3) + -19 + 0. Let w be (-174)\/k + 6\/8. What is the greatest common divisor of w and 376?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08 - 1187?\nAnswer: -1186.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -11\/14 (c) 2633 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11130 - 6644. Does 94 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 - 11*o + 730. Determine f(-33).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 + 34 = z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 + 47*q**2 - 42*q - 100. Suppose 4*t + 76 + 107 = -i, 104 = -2*t + 2*i. Is v(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*i**3 - 35*i**3 - 378725918*i + 378725918*i.\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1961*a - 2010*a + 3791767. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 29*s**3 + 18*s**2 + 23*s - 10. What is b(-2)?\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/186 and 71\/36 + (-384)\/108 + 4.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - -7 - -5) + -4 + -62 + 37?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1139267 smaller than 1139269?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 556 equal to -0.094567?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*(3 - 6\/4). Let b(g) = 2 + m + g - 2. List the prime factors of b(12).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from npwwln. What is prob of sequence np?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2000640 divided by 5.\nAnswer: -400128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -22*l**2 + 5*l - 3. Let m be w(2). Let k = 166 + m. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -18*p. Let j be y(-3). Let o = 14 + -8. Calculate the greatest common divisor of j and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.55 - -118.81.\nAnswer: 118.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135 = -219*h - 52 + 136. Let m(s) = -2*s**2 + s + 2. Let p(o) = -o**2. What is h*m(d) - 4*p(d)?\nAnswer: 2*d**2 + d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2373*h**3 - h - 3244 wrt h?\nAnswer: -7119*h**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -127 + 133. Is 35 less than or equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2729 is divided by 1160?\nAnswer: 409","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/8 and 53\/161177?\nAnswer: 1289416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 198\/(-44)*2\/3. Is 50 + (-4 - -5)*r\/3 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, -0.4, 15, 7, -1.\nAnswer: -1, -0.4, -1\/6, 7, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.1 + -12.9. Let i = -55 - -39. Let m = f - i. Which is the nearest to m? (a) -1\/2 (b) -24 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 - 1) + (1 - 31) + (1861 - 1881).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 - -4. Let r(z) = z**2 - z + 2 - i + 3. Let m(w) = -w**2 + w - 2. Give 4*m(d) + 3*r(d).\nAnswer: -d**2 + d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -114 - -96. Let l(t) = -6*t**3 - 9*t**2 - 9. Let w(k) = -k**3 - k**2 - 1. What is x*w(j) + 2*l(j)?\nAnswer: 6*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 + 20*m**2 - 52*m + 26. Let q be t(15). What is the highest common divisor of q and 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of c*k**3*r**2 + 33*c*k**2*r + 2*c*k*r**2 - k**3 - 6*k**2 - 58*r**2 wrt r.\nAnswer: 2*c*k**3 + 4*c*k - 116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**2. Let g(o) = 2*o - 10. Let x be g(2). Let c(h) = 2*h**3 + 13*h**2 + 8*h + 12. Let k be c(x). Let p(u) = k*u - 3*u + u - 2*u. What is l(p(w))?\nAnswer: 16*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 735513 and -17.\nAnswer: -12503721","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 + 3*j**2 + 6 - 20*j**2 - 20. Let x be v(17). Let b = x - -8. Let k(t) = -7*t + 7. Let o(u) = -13*u + 13. What is b*o(p) + 11*k(p)?\nAnswer: p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8849091 months to years.\nAnswer: 0.073742425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h**2\/7 + 50552462*h\/7 + 50552464\/7 = 0 for h.\nAnswer: -1, 25276232","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/8 and (-15 - -1)\/((-1)\/((-1)\/(-5))).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 53612 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 6, u: 4, d: 1}. What is prob of picking 1 u and 3 s?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5106887 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1299 or 5191\/4?\nAnswer: 5191\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 659*i - 664*i = -4*d - 12, d - 22 = -5*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.007910023 rounded to five dps?\nAnswer: 0.00791","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 540 + 2?\nAnswer: 542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -5. Let r(o) = o**2 - 2*o - 3. Calculate the lowest common multiple of k and r(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 - (7 + 9 - 15)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(68)*-3*-2)\/(1*sqrt(4)*2).\nAnswer: -18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/3*((-32)\/(-4))\/(-24)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 l, and 2 a when four letters picked without replacement from {y: 1, l: 1, j: 1, d: 1, a: 4}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 14608 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 207849, 207850, 207851, 207852, 207853?\n\"Answer: v + 207848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 + 2 - 8) + 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -5*(23\/5 - 3). Let u be 2\/(-8) + (-2)\/h. Let 2\/5 + 0*d**3 + u*d + 2\/5*d**4 - 4\/5*d**2 = 0. What is d?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of 3*q**5\/20 + 15*q**4\/4 - 17*q**3 - 5209*q. Suppose b(d) = 0. Calculate d.\nAnswer: -17, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*h**2 + 4*h + 12*h**2 - 3 + 12*h**2 - 2*h in the form o*h + u + g*h**2 and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 4*w**2 + 2*w + 6. Suppose 12*v - 34*v + 110 = 0. Let l(m) = 4*m**2 + 3*m + 7. Let f(t) = v*l(t) - 6*s(t). What is f(2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*m + 8515 = -7*m + 3*k, -4*m - 5*k + 8517 = 0. Is 16 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 258717 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1594892 is divided by 32.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (133*74\/(-259)*(-2)\/(-10))\/(4\/10).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let y = -87 - -101. Let q = 219\/4 - 55. Sort 0.3, y, q in descending order.\nAnswer: y, 0.3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1600641 less than 1600674?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (9\/(-30))\/((-17)\/170). Let l(f) = g*f**2 - 8*f**2 + 6*f**2 - f**3 + 15. Give l(0).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/88240 and 67\/13440?\nAnswer: 14824320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96540 is divided by 24095?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 21*o*r**2*s + 2*o*s - 9*r**2 + 125*r*s wrt r?\nAnswer: 42*o*s - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -659*l - 661*l + 1986*l - 674*l.\nAnswer: -8*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (91 - 88) + 1 + 2?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -28*z + 474. Determine v(7).\nAnswer: 278","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1430 (base 12) to base 7.\nAnswer: 6552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -121176*f**3 - 78424 wrt f.\nAnswer: -363528*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2969.932 rounded to the nearest integer?\nAnswer: 2970","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/1 + (-395)\/79. Solve -r*j = -j - 10 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7762*x**3 - 7413*x**2 + 3*x wrt x.\nAnswer: -46572","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 441558 and 1026.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(1\/3)*m)\/m*m)\/m*m*m**(-2))\/(m\/(m*m*m**(2\/3)\/m))**30 assuming m is positive.\nAnswer: m**(58\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -42 - -45. Suppose d*v + 3*i - 12 = 0, v - 28 = -2*v + 5*i. What is the least common multiple of v and (-12)\/(-1 - 1) - -2?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6757846?\nAnswer: 2, 3378923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - -432?\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -116 + 143. Calculate the greatest common divisor of 3 and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 2*m + 5)*(1 + 0 - 2) + 9*m - 19*m - 16 + 17.\nAnswer: -8*m + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -181 in 10, 9, -4, -3, -37?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*s**2 + 61*s**2 - 293*s + 88*s - 13*s**2 - 28*s**2 as w*s + z*s**2 + f and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -140617 + -5941467830\nAnswer: -5941608447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -21*n**2 - 49*n + n**2 + 9*n**6 + 53*n wrt n?\nAnswer: 1080*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 31, 47, 47, 25, -25, -109, -233, -403?\n\"Answer: -h**3 - 2*h**2 + 29*h + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 18*f**3 + 5*f**2 - 28*f. Let s(d) = 18*d**3 + 6*d**2 - 29*d. Let p(v) = -6*j(v) + 5*s(v). Find the second derivative of p(h) wrt h.\nAnswer: -108*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2098867?\nAnswer: 2098867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(15)\/sqrt(5))**2 - (sqrt(9)\/(-2*sqrt(3)) - sqrt(3)))*-6.\nAnswer: -18 - 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -163683*f - 3132. Let u be b(-4). What is u rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of w**6\/120 - w**5\/15 + w**4\/12 - 5*w**2. Is g(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 75248813?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 110 + -35.6. Let h = p - 74. What is the smallest value in h, -0.4, 13\/4, 0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7057048 - 14.5324\nAnswer: -7057062.5324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 11*o**3 - 9341*o**2 + 167*o - 79436642?\nAnswer: 33*o**2 - 18682*o + 167","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 331 + -221. Let z be 6\/8 + (-1035)\/36. Calculate the remainder when c is divided by -2 - z - 4\/(-2).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 69.14 to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 6*b = 25, 8 = 2*t - 2*b. Let n be (-2)\/6 - (-21)\/t. Let x(a) = -a**3 + 2*a**2 - 2. Let w(g) = 2*g**3 - 3*g**2 + 3. Calculate n*w(y) + 3*x(y).\nAnswer: y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 506 is divided by 82?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 7. Let o = -8 - q. Is ((-4)\/o)\/((-1)\/(-30)) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 23 + 57 = 0. Suppose d = 5*d - z. Let k = d - 4. Sort -2, 2, k in ascending order.\nAnswer: -2, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -247, -421, -521, -547, -499?\nAnswer: -377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -182, -239, -296?\nAnswer: -353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -11890, -23779, -35668?\n\"Answer: -11889*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 935993?\nAnswer: 71, 13183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43314 (base 6) to base 16.\nAnswer: 173e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 - 5*a + 1. Let u be b(6). Suppose 0 = k - 4, -4*d + 5*k - u = 173. Let t = d + 85. Is t a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 467655?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 93\/(-4) - 3\/(-12). Let x = i - -48. Suppose -5*a + 3*p = -40, 3*a + 1 = 3*p + x. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 4)*(n + 10 - 10) + (4*n - 4*n - n)*(2 - 3 - 1) - n + 2*n + n + 0*n + n + 0*n.\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1204688 divided by 35432.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 + -25. Let h(m) = m**3 + 8*m**2 - m - 7. Let g be h(p). List the prime factors of (-2)\/(g + (-45)\/39).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of u**7\/7 + 2*u**6\/3 - 10*u**5 - 1606*u**3 + 4714. What is the third derivative of z(j) wrt j?\nAnswer: 120*j**3 + 240*j**2 - 1200*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 69324 and 228324?\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 4620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.85202 - -0.168057.\nAnswer: -2.683963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the second derivative of 7*b**3\/6 - 2*b. Let v(m) be the first derivative of 0*m + 1\/3*m**3 + 0*m**2 - 13. Give v(o(l)).\nAnswer: 49*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -172*l - 2748. Determine n(-16).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 168\/154*(-2)\/4?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1002 - 10003133?\nAnswer: -10010201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 21*v**4 - 615*v**3 + 174*v**2.\nAnswer: 3*v**2*(v - 29)*(7*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*1*(-1)\/(-3). Let o = 12.62 - 12.22. Sort o, j, 0.2 in decreasing order.\nAnswer: o, j, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 3*a = 4. Let g = a + 5. What is the highest common factor of 8 and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2279.79 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.08 + -7.08. Which is the fourth smallest value? (a) -268 (b) 2\/3 (c) 0.2 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 5. Let b = n - -4. Let d(p) = -1954 + 1329 + 630 + p. What is d(b)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -6*u**2 + 2*u. Let w(o) = -25*o**2 + 9*o. Let t(a) = 9*l(a) - 2*w(a). Let m(v) = 2*v**2. Give t(m(x)).\nAnswer: -16*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -429 divided by -13\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - 2) + -2 + 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7541487 is divided by 811.\nAnswer: 809","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 268 + -146 + -135 + 55 + 2.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.06 + -0.54. Let p = m + -1.4. Let n be (-1)\/(3 + 2\/4). What is the nearest to -1 in p, n, 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-9)\/(c\/(c**(-11)\/c)*c))**(-25) assuming c is positive.\nAnswer: c**575","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -886*x - 1785 - 873 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3412 or 3415?\nAnswer: 3412","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1444 (base 6) in base 7?\nAnswer: -1063","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19720 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3824 or 3831?\nAnswer: 3824","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -11 + 17 + (-1 - -4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1))**15*v**(-1\/14)\/v**(-1\/5))**6 assuming v is positive.\nAnswer: v**(-3123\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3121 or 3119?\nAnswer: 3121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 734 - 734.000006088. Round p to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/2 + 1162037*b\/2.\nAnswer: b*(b + 1162037)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/216 or -1?\nAnswer: 1\/216","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 209*j + 205*j + 200*j - 9*j**2 - 814*j + 203*j.\nAnswer: -9*j**2 + 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-26553108)\/(-304))\/((-12)\/(-8)*(-2)\/(-4)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 6*g**3 + 730*g**2 - 240*g + 698. Give w(-122).\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 367484, 734958, 1102410, 1469828, 1837200, 2204514, 2571758, 2938920?\nAnswer: 3305988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.03962067 to three dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-4) + -1 - 5667\/(-2). Let h be (-66)\/14 - -5 - b\/(-7). Suppose 6*r - 11*r = -h. Calculate the remainder when r is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-136 + 68 + 131 + 2 + 2 - 2 + (2 - 4 + 1)*(-1 + 0 + 0))*(2*n + 56 - 56)*(8 - 2 + 1).\nAnswer: 924*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-6)*(-60)\/40\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1*1 - (4 + -3). Put 6, 5, u in descending order.\nAnswer: 6, 5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43306?\nAnswer: 2, 59, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -6*r + 20*r - 9 - 12*r. Let l be a(13). Suppose -5*q = -638 - l. List the prime factors of q.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1)\/(-2))\/(6\/(-72)). Let w(x) be the third derivative of -x**4\/24 - 5*x**3\/6 - x**2. What is the units digit of w(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24534, 49062, 73590, 98118, 122646, 147174?\nAnswer: 171702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 1 + sqrt(539) + sqrt(539) + 1 + sqrt(539) + 5)*6.\nAnswer: 60 + 126*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 273.7 + -276.558. Let c = -0.042 + f. Let s = c - -2.75. What is s rounded to two decimal places?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 - 0\/(-3) - 78\/(-13). Solve -g = -4*q + 4*l, -q - 2*q + 19 = l for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 425592347 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5\/(-4) - (-156598)\/152?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1568448 equal to 1568444?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -86*a + 47. Let j(m) = 172*m - 113. Give 14*c(r) + 6*j(r).\nAnswer: -172*r - 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 795260.1 months?\nAnswer: 6627.1675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7 at most 36423\/140?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*z = -31*z - 5. Solve -b + 1 + 2 = -2*i, 4*b + z*i + 14 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 - 133*v**2 + 397*v - 22. Calculate k(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 15 - -24) + -2?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -359 - -11. Let w = 590 + d. Suppose -6*o - 62 = -w. Is 15 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t**5 + 24*t**4 - 1296*t**3 + 5816*t**2 - 7860*t + 3312 = 0. Calculate t.\nAnswer: -23, 1, 3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 279434894 rounded to the nearest 100000?\nAnswer: 279400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 462546.\nAnswer: 2, 3, 7, 3671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*g + 316*g = 28592099. What are the prime factors of g?\nAnswer: 74653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12*5.35.\nAnswer: 64.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 37 - 39 = 0. Let g = t + 17. Let c be ((-60)\/g)\/(0 - -4 - 2). Solve -q = 2*f - 4*q + 10, -5*f + 5*q = c for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 128 - 123. Suppose -5*r = 10, d*r - 65 = -2*h - h. List the prime factors of h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-58)\/(-4))\/(21*(-52)\/(-2184))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/8 + (-2)\/56. What is the biggest value in 1\/3, -5, c?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2080 and 70096?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*g + 803343 = -651691. What is the ten thousands digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 147.674 times 7\nAnswer: 1033.718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o**5)\/o)**37 assuming o is positive.\nAnswer: o**222","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -103 (b) 0.4 (c) -162 (d) 2\/17 (e) -1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7453, -14892, -22317, -29728, -37125, -44508, -51877?\nAnswer: -59232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 + 1)*(25 + 2). Let c(g) = g**3 + 4*g**2 + 3*g. Let b be c(-2). Let o be 19 + 0 + b + -3. Calculate the greatest common divisor of v and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6167527 a multiple of 709?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 - 2601\/(-15)) + (-2)\/5 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 28 and 72.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4472*g*z**3 - 37*g*z**2 + 3*z**4 + 7*z**2 wrt z?\nAnswer: -26832*g + 72*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 + -0.8. Let o = 4.3 - 0.3. Which is smaller: s or o?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/252 and -67\/224.\nAnswer: 2016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*p**5 - 212*p**5 + 29*p**5 + (3 + 2*p**3 - 3)*(2*p**2 - 3*p**2 + 0*p**2) - 3*p**2 + 3*p**2 - 2*p**5.\nAnswer: -195*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 times 33?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d**4 - d**4 - d**4 + (-3*d + 3*d - d)*(-5*d**3 + d**3 + d**3 + 3*d**3 - 4*d**3 + 0*d**3 + (-4 + 2*d + 4)*(0*d - 2*d**2 + 0*d)).\nAnswer: 6*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in four sevenths of a week?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/((w\/(w*w\/(w\/(w\/w**(1\/6)))))\/w)*w)**(-33) assuming w is positive.\nAnswer: w**(-253\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 2, -5, -8 in ascending order.\nAnswer: -8, -5, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 11. Suppose 0 = c*x - 3*j - 15, -2*x - 4*j + 17 = -15. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0021823 to four dps.\nAnswer: -0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + 6. Let u be (-30)\/35 - 100\/(-35). Solve 1 = u*v + f, -4 - o = 4*v - f for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 - -17?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -607 + 895. What is the remainder when a is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/7 and (4\/(-12) + 831\/(-18))*1.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 - c**2 - 2. Suppose 0*k - k + 2 = 0. Let d be g(k). What is the second derivative of 18 - 3*y**d - 18 - 2*y wrt y?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, e: 3, k: 1, q: 1, r: 1, g: 4}. What is prob of sequence eurg?\nAnswer: 2\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of -z**8\/11760 + z**7\/280 - 2*z**6\/35 + 8*z**5\/21 - z**3 - 218*z**2. Let q(y) be the first derivative of m(y). Factor q(f).\nAnswer: -f*(f - 8)**2*(f - 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + 2 + (-9)\/(-3). Let u be (-5 + y)*(-2 - -3). Let c be (0\/2)\/(u + 3). Solve c = 4*o + 2 - 18 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 + 1.2. Let u = 0.92 + -0.42. What is the second biggest value in 2, u, w?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1090 + -1948. Let w = -861 - n. Let g = 0.4 - -0.1. Which is the second smallest value? (a) g (b) -0.2 (c) -1 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 100470535 + -4?\nAnswer: 100470531","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 96.22526ml?\nAnswer: 0.09622526","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2*d**2 - 1 + 11*d**2 - 27*d + 27*d + (d + 0*d + 0*d)*(2*d - 2*d - 2*d) + 2*d**2 - d**2 + d**2)*(-5*d + 0*d + 3*d).\nAnswer: -18*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of -29*l**5\/120 + 14*l**3\/3 + 18*l**2. Let y(c) be the first derivative of a(c). Let q(r) = r. What is y(q(o))?\nAnswer: -29*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1805633 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 42 and 1654038?\nAnswer: 11578266","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 9950?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 48*q - 50*q + 21 = 0, 4*n - q = 75. Sort 5, -5, n.\nAnswer: -5, 5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -5*d**3 + 6400*d**2 = 0.\nAnswer: 0, 1280","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 14030474 at most as big as 14030479?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 3*u = 15, 0*x - 5*u = -3*x + 4. Let v(k) = -3*k - 2. Let q(r) = 10*r + 7. Let p(h) = 6*q(h) + 21*v(h). Determine p(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b + 24 = -3. Suppose -4*z + z + 252 = 2*k, 0 = -b*z + 5*k + 231. List the prime factors of z.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.533668 and -0.0581.\nAnswer: 0.475568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-55)\/(-5) + -5 + 2 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 192 and 306 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2499?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/((v**(2\/3)*v)\/v))**(-22)\/(v**(-2)*v)**(14\/9))**22 assuming v is positive.\nAnswer: v**(-5500\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 216802 = 4*v - 6*h, -3*v + 168*h - 165*h + 162594 = 0. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z**3 + 7*z**2 + 2*z + 12. Let p be s(-5). Let o = 123 + p. Let w = 96 - o. Does 4 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2005259 + 59322.1?\nAnswer: -1945936.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most 17\/27756?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 19831689?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9 and 5.58.\nAnswer: 50.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18106 and 1122.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -10\/3 in -4\/7, -4, -2\/9, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-20 + 41 + 32 - s)*(2 - 2 + 2*s) as k*s + w*s**2 + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -47*-0.14\nAnswer: 6.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 7*a + 8. Let p(x) = x**2 - 2*x - 1. Let b be p(a). Solve 7*i - b*i = 5*l - 25, -3 = -3*l for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the third derivative of 3*m**4\/4 - 5*m**3\/2 + 19*m**2. Differentiate g(t) wrt t.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 46 = -17. Suppose -c*r + 25*r - 24 = 0. Suppose 3*b + 228 = r*b. Is 11 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25455*m**6 - 1041*m**2 + 2*m + 2.\nAnswer: 3054600*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 38.84, -1, -68.7, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ib when two letters picked without replacement from {b: 2, c: 8, n: 2, i: 1, q: 1}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes before 5:02 AM?\nAnswer: 3:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 124\/140)*5\/2\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 221 and 2586961?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 82.425 and 58.84.\nAnswer: 4849.887","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 742953360 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/(-330))\/((-2)\/50*735\/147).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -68\/3 + 24. Which is the fourth biggest value? (a) 2 (b) -1\/7 (c) -2\/7 (d) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 19205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 + -18. Let z = -541\/3263 + 3\/251. What is the second smallest value in -2\/3, z, x?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**35*h**(2\/3))**12)**(4\/11) assuming h is positive.\nAnswer: h**(1712\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 10 - 50 = 5*u, 0 = -4*a + 4*u + 40 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/3*(636\/(-16))\/(-53)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - -12220?\nAnswer: 12230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 7*m**2 + 3*m + 2. Let a be x(0). Let z(u) = -38*u**2 + a*u**2 + 39*u**2. Let o(i) = i + 6*i + 3*i. Give z(o(y)).\nAnswer: 300*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -1\/4 (b) -23 (c) -3 (d) -0.17 (e) -762\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 167*a = 166*a - 2851323, b - 570287 = 3*a. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*x = 7*x + 20. Suppose -2*s + 288 = -u, x*s + 2*u = 3*s + 139. Suppose -9*k = -424 - s. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102864142?\nAnswer: 2, 23, 227, 9851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 - (-5 + (-294)\/35).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -296 * -1.55129\nAnswer: 459.18184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - -2. Let a = s - -8. Which is greater: 1\/9 or a?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 q when two letters picked without replacement from ryqbcqbyccbrrcrcbbq?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2020 (base 3) to base 4\nAnswer: -330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -5*a**2 - 8*a + 5. Let m(c) = 4*c**2 + 9*c - 5. Let d(b) = -3*l(b) - 4*m(b). Is d(-9) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3165093?\nAnswer: 3, 401, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 - -3 - (1 + -1). What is the highest common factor of 9 and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1949 divided by -1.\nAnswer: 1949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-12)\/21*-14*1. Let l be 5\/((3\/20)\/(6\/d)). Let f(w) = 5*w**2 + 2*w + 8. Let y be f(6). What is the greatest common factor of l and y?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39168 - 5243.29\nAnswer: -44411.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 13) to base 11.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12*p**4 - 2496*p - 140428 wrt p?\nAnswer: -48*p**3 - 2496","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51 is divided by 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-1 - (0 + 2)) - 7\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5494, -20755, -46184, -81775, -127522, -183419?\n\"Answer: s**3 - 5090*s**2 + 2*s - 407","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57138 + 2*w - 57138.\nAnswer: 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -2*s**3 - 19*s**2 + 10*s. Let q be y(-10). Let t(a) = 25 + a**2 + a - 10 + 0*a. Determine t(q).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 - -41. Let j = g - -4. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4699 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 2:15 AM?\nAnswer: 3:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 4. Let s be (5 + -5)*(0 - j). Solve s*c = c - 1 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2616386?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 13 = 1. Suppose i = v - 49. What are the prime factors of v?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-213 - (21 - 130)) + 199\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 2880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 16 = 19. Suppose 2*r = -i*j - r, -r - 8 = -j. Calculate the greatest common divisor of j and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 127 and 17518634?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 28*w + 7. Let z(k) = 9*k + 2. Let f(j) = -2*a(j) + 7*z(j). Is f(2) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1647 and 8784.\nAnswer: 549","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5858 and 54578?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110 + 30 = 10*o. Let i(f) = -26*f**3 + f + 1. Let p(m) = -m - 7. Let s be p(-6). What is the remainder when i(s) is divided by o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 39.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/8 - (-1)\/4. Suppose 2*k - k - 25 = j, 72 = -3*j + 4*k. Let q be 2\/(-7) + (-22)\/j. Which is greater: q or o?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 6*i**5 - 6*i**4 - 9*i**3 + 6*i**2 + 9*i - 6. Let k(m) = -m**5 + 2*m**4 - m**3. Let u(d) = 3*k(d) + w(d). Suppose u(c) = 0. What is c?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*j + 200 + 388 = 0. Is -26 < j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 949*t**2 - 7*t - 11. What is the units digit of v(4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8999 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*n + 1452 + 415 + 1407 = 536 for n.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -54*o - 355. Determine w(-7).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71 = 3*x - 4*z, 0 = 7*x - 9*x + 4*z + 46. Suppose -21*p = x*p - 155342. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3365841 a multiple of 121?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3972ce (base 16) in base 3?\nAnswer: 21002021112022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-108)\/(-26) - 6\/39) + 0\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5856 and 30432?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 96 = -2*x. Calculate the smallest common multiple of x and 18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14158621 divided by 3.\nAnswer: -14158621\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1926, 1929, 1934, 1941?\nAnswer: 1950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1206095 divided by 109645?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 4*q + 0 + 4 = 0, 2*n = -2*q. Let z = 10 + n. Let c(m) = m**3 - 5*m**2 - 8*m + 7. Let t be c(z). Which is smaller: -6 or t?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -302, -399, -506, -629, -774, -947, -1154?\n\"Answer: -a**3 + a**2 - 93*a - 209","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 499741200 and 11332.\nAnswer: 11332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, l: 4, h: 6, f: 5}. Give prob of picking 2 h.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/5, -6, -41.6, -3?\nAnswer: -41.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.5, -0.014, -1\/4?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.31016 milliseconds in seconds?\nAnswer: 0.00131016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -544 = -4*s + 44. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7076?\nAnswer: 2, 29, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 + 67*t**2 + 183*t - 310. Let d be p(-130). What is d rounded to the nearest 1000?\nAnswer: -1089000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 34529081.\nAnswer: -1\/34529081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 164\/3 - 54. What is the nearest to -5 in -5, b, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 74\/9 and -149\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 2 + 6. Let g be b*(-4 - -1)*(7 - 0). Is (7*1)\/((-6)\/(g\/2)) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 PM and 11:02 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 404*n - 400*n - 20 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*u, -5757 = -4*b + 2*u - 3*u. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 9\/16?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add -35279 and 280044995.\nAnswer: 280009716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 239?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32643 - 978114 = 10879*n - 615*n + 255417 for n.\nAnswer: -117","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1185?\nAnswer: 3, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d*d*d\/(d**(11\/3)*d)*d)*d\/(d**(1\/10)\/d)*(d\/(d*d*d**(-3\/10)))**(8\/3))**(-2\/23) assuming d is positive.\nAnswer: d**(-7\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1032241*h**2*z**3 - 2352751*h**2 + z**4 wrt z?\nAnswer: -3096723*h**2*z**2 + 4*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -1675 * 0.0049739\nAnswer: -8.3312825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -11967, -23966, -35969, -47976, -59987, -72002?\n\"Answer: -2*d**2 - 11993*d + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 3*n**2. Let z(c) = 396968*c. Calculate g(z(q)).\nAnswer: 472750779072*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -512*o**2*t**2 + 2*o**2*t + 1477*o**2 - o*t**2 + o*t - 584*o + 171 wrt o.\nAnswer: -1024*t**2 + 4*t + 2954","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 2 = 0, -3*w + 1 = -2*u - 6 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*x - 701260 = 73*x. Suppose -27*t - 14693 = -x. List the prime factors of t.\nAnswer: 3, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that u**2 + 4791*u + 1113770 = 0.\nAnswer: -4546, -245","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 2*k - 2*x - 11 = 0, -3*x - 9 = -2*k. Let b = 0 - -4. What is the nearest to 2\/7 in k, b, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 124\/1302 - (-2)\/(-42)*-41053?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by -124\nAnswer: -7\/124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/((-35)\/(-2) + 2). Suppose -9 = -6*q + 15. What is the biggest value in x, -4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.6461 - -0.0561. Let k = -3.49 - w. Is k greater than -0.077?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*a + 35*a = 114*a - 768. Calculate the lowest common multiple of 16808 and a.\nAnswer: 33616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54571.\nAnswer: 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 8:09 AM?\nAnswer: 9:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -31*z - 4*z - 5*z**4 + 3 - 4*z - 32*z**4 wrt z.\nAnswer: -444*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express x**3 + 0*x**3 - 5*x**2 + 15 - 2 + 5*x**2 + x**2 in the form v + u*x**3 + f*x + c*x**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) -7 (b) 0.05 (c) 0.7 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = j + 5*m - 219 - 4, -2*j + 419 = m. Does 16 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 3*v - v + 1 - 3*v. Let n be m(1). Suppose n = -3*d - 12, 0 = -0*t + 2*t + d - 144. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*y**5 + 443*y**2 - 749*y - 1 wrt y.\nAnswer: 40*y**3 + 886","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -4*o - 7. Sort o, 5, 4.\nAnswer: o, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + x - 50 = 0, 5*s + 0*s - 5*x - 140 = 0. What is the highest common factor of s and 286?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 PM and 9:09 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -120 - -414. Let g = 322 - i. Solve -4*n - g = 3*a, -3*n - 4*a - 3 = 25 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 970, 4011, 9050, 16093, 25146?\n\"Answer: u**3 + 993*u**2 + 55*u - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 69 - 40. Let q = c + -22. Suppose -q = m + 8. Let d(f) = -6*f**3 - 5*f**2 + 5. Let u(y) = y**3 + y**2 - 1. Calculate m*u(s) - 3*d(s).\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17735978*d**6 + 587*d**2 + 101*d - 3 wrt d.\nAnswer: 2128317360*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6\/5 of a tonne?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/o**(1\/8)*o)*o**(-1)\/o)**(-25)\/(o*o**0*(o\/(o**(-1\/2)*o))\/o*o*o**(-2\/7)*o\/(o**(2\/7)*o)) assuming o is positive.\nAnswer: o**(3973\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/6 of a decade in months?\nAnswer: 580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 9\/(-45) - 17\/(-35). Let z(y) = -129*y + 845. Let u be z(5). What is the smallest value in r, -1\/4, u?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3670128 + 173483.\nAnswer: 3843611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 221 = 4*t. Let b = 57 - t. Let j be (-12)\/(-3) + 50\/(-13). Is b at least as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t + 15. Let q be s(-6). Solve -q = f - 4*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12567 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 j(y) = -2324*y - 18590. Let r be j(-8). Determine z, given that 272\/7*z**4 - 122\/7*z + 20\/7 + 32\/7*z**r + 478\/7*z**3 - 32\/7*z**5 = 0.\nAnswer: -1, 1\/4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q + 3. Let h(s) = 2*s + 8. Let u = 75 - 80. Determine u*h(r) + 12*i(r).\nAnswer: 2*r - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 + 13. Does 10 divide (w - -1) + 24 - 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27743, -55483, -83223, -110963?\nAnswer: -138703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*m - 0. Let h(i) = 0*i + 3*i**2 - 2*i + m*i. Let l(t) be the second derivative of t**3\/6 - t. Calculate l(h(q)).\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + (22 - -2 - 1). Let c(s) = 4*s - 36. Let v be c(6). Let y = v + x. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000090096 to six dps.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 + 5*l + 1. Let i(m) = m - 5. Let q be i(0). Let h be k(q). Let d be ((-3)\/h)\/((-2)\/2). Solve 15 = d*o, -11 = 4*x + o + 4 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 696 and 1479.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-5)\/(-30))\/(4\/16). Let y(b) be the second derivative of -3\/2*b**2 - 1\/12*b**4 + 0 + v*b**3 - 3*b. Factor y(t).\nAnswer: -(t - 3)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 558\/4*(-53 - 2512\/(-48))\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 16993, 34072, 51151, 68230?\n\"Answer: 17079*n - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 911, 882, 847, 806, 759?\n\"Answer: -3*w**2 - 20*w + 934","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 2*c - 3*v + 32, 0 = 3*v. Let z = c + 11. Is (-11)\/(-2)*2*z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3490, -3737, -3960, -4159, -4334, -4485, -4612?\nAnswer: -4715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 - 2*h**2 + h - 4. Let t be j(2). List the prime factors of t\/1 + 137 + 9.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -5, -1, -3, 0.76, -644?\nAnswer: 0.76","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 4*q + 0*q = 12, l + q + 3 = 0. Suppose -4*p + 5*n + 34 + 11 = l, -5*n = 5*p. Suppose -p*a + 105 = f, 4*f - 2*f = 3*a - 50. Is 4 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48)\/64 + (34\/8)\/(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/((-168)\/(-70)))\/((-10)\/6)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12638771 divided by 17?\nAnswer: -12638771\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eee when three letters picked without replacement from ekeeeeeeeeeeeee?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 95407 to the nearest integer?\nAnswer: 309","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiq when three letters picked without replacement from {i: 2, q: 1, y: 4, j: 2, r: 5}?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = -g - 5*a, 3*a = 5*a - 4. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180) + sqrt(180)*-2 + -2)**2 - (-5 + (sqrt(180) - sqrt(180)*2 - sqrt(180))))*3.\nAnswer: 108*sqrt(5) + 567","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -44*p + 16*p + 5712. Suppose 0 = -19*k + 100 + p. Calculate the greatest common divisor of k and 400.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 568200915.\nAnswer: 3, 5, 29, 435403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - -5 - 1 - 34\/10. What is the nearest to n in -4, 1\/2, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 525 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*k - 7*b + 33, 5*b = 3*k - 0*k + 28 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 996 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4205*v**2 - 5220*v - 1620.\nAnswer: -5*(29*v + 18)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 32578974 to the nearest integer?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*o - 1912 = -2458 for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63761 is divided by 21243?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 155*j**2*s + 3*j**2 + 39*s + 1 wrt j?\nAnswer: 310*j*s + 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-5)*s**(5\/2))\/((s**(-1\/7)\/s*s)\/(s**(-2\/9)*s)) assuming s is positive.\nAnswer: s**(-199\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/1507 and 12\/685.\nAnswer: 7535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 10, -45, -1, 0 in ascending order.\nAnswer: -45, -1, 0, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 522\/23 greater than or equal to 24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + -1)\/(3 + -5 + 4). Suppose y = 54*z - 59*z + 4090. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -442*b**2 - 12*b + 204*b**2 - 7 + 170*b**2 wrt b.\nAnswer: -136","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(2\/5)*m**(2\/11))\/(m\/m**(-5)*m**(-5)*m) assuming m is positive.\nAnswer: m**(-67\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -563, 19, 995, 2371, 4153, 6347, 8959, 11995?\nAnswer: 15461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 + 1. Let a = -0.089 + 13.089. Let w = a + m. What is the biggest value in w, -1\/2, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 879*t - 878*t - 4 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7452761km in nanometers?\nAnswer: 745276100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (70\/(-30) + 16\/12)*-1173. What is the greatest common factor of d and 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13607 is divided by 12222?\nAnswer: 1385","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -41, -3, -1, 4, -2, -135, 2 in decreasing order.\nAnswer: 4, 2, -1, -2, -3, -41, -135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 211002 (base 3) in base 2?\nAnswer: 1001010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 100934159 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -466.98 + -0.2.\nAnswer: -467.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80379523?\nAnswer: 7, 11482789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of 47*p**5\/60 + 197*p**2. Let d(x) = x**2. Determine d(r(g)).\nAnswer: 2209*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/17, -49.88, 0.2 in decreasing order.\nAnswer: 5\/17, 0.2, -49.88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(2\/13)*z*z\/z**5)**(-4\/11) assuming z is positive.\nAnswer: z**(148\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -70 - -72. Let u = -0.2 + 0. Sort u, -0.02, t in descending order.\nAnswer: t, -0.02, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 566 * -73.19\nAnswer: -41425.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 304\/(-20)*((-201)\/6 - -1). Calculate the greatest common factor of 182 and l.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (-6*(1*sqrt(4617) - sqrt(4617) - sqrt(57)))\/(sqrt(30)\/(sqrt(110)\/(sqrt(11)*1)))*-4)**2*5.\nAnswer: -1200*sqrt(19) + 54845","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6 - 0)\/((-1)\/(-1)). Let q(w) = w**2 + 5*w - 5. Let i be q(-5). Let j = g + i. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of i**2\/2 + 16*i - 3. Let z be r(-12). Suppose -z*x - 78 = -3*j, 2*j - 3*x - 52 = x. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27893?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 1128?\nAnswer: -5\/1128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 91605 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 9*u - 29 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -7*m**2 - 3. Let c(x) = -29*x**2 - 13. Suppose 0 = -3*r - 3*i + 3, 0 = i + 4*i + 25. Calculate r*c(g) - 26*f(g).\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 20 = -7*v + 3*v, -v - 8 = -2*k for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*g = -7*g - 58 - 62. Sort 50, -4, g, 0, 4.\nAnswer: g, -4, 0, 4, 50","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**0*a*a*a*a*a)**9\/(a**(-4\/3)*a**(-1\/3)))\/(a**(1\/2)*a*a**(-1)\/a)**41 assuming a is positive.\nAnswer: a**(457\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -73 divided by -1\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0123267607 to 5 decimal places.\nAnswer: 0.01233","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 + 290a8868?\nAnswer: 290a8864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o + 9*o = 4*h - 17, 2*h = 4*o + 6 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -41\/16050?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 381 = 2*k - 6969, -5*a = -2*k + 7371. List the prime factors of k.\nAnswer: 2, 3, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -78, -613, -2062, -4881, -9526, -16453, -26118, -38977?\nAnswer: -55486","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 26, 51, 76?\n\"Answer: 25*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32)\/(3 + 5) - -10.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-416)\/512*4800\/(-18200)?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 302 + -296. Solve -4*b + 5*y + d + 3 = 0, -7 = -2*b + 3*y for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3126429809?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2994, -40, -2\/5, 0.01, 5 in increasing order.\nAnswer: -40, -2\/5, 1\/2994, 0.01, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7984 or 7974?\nAnswer: 7974","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*(52\/(-12))\/(1\/3). Let v be (-3 + 1)\/(-24)*26\/h. What is the closest to 2 in -2, 5\/4, v?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19 + 33. Solve -4*g + 23 = 2*c - 5*c, 4*c = 2*g - t for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 222994?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19\/4 - 21\/4. Which is smaller: -562 or t?\nAnswer: -562","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 + x. Let m(f) = 18*f**3 - 10*f. Calculate -40*a(g) - 4*m(g).\nAnswer: -32*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**4 + o**3 - o**3)*(-64*o - 64*o + 96 + 129*o).\nAnswer: -2*o**5 - 192*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 20*g + 5*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-3268)\/(-570))\/43)\/((-15)\/(-2430))?\nAnswer: 108\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) -3.39 (c) -0.2 (d) 2 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -224*s**2 - 110*s**2 - 1 - 93*s**2 + 530*s**2 + 1 - 89*s**2.\nAnswer: 14*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -11\/7, 3\/8 in decreasing order.\nAnswer: 3\/8, 0.2, -11\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 133537926 is divided by 152?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 - 228*x**2 - 9202*x - 58. What is y(-35)?\nAnswer: -163","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2706, 1, 14, 29?\nAnswer: -2706","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -24*r + 29. Let l(x) = -24*x + 29. Suppose 3*f + 21 = 5*q - 19, 2*f = -2*q. Let h(o) = f*l(o) + 4*d(o). Differentiate h(b) wrt b.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 1\/7 (b) 0 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -677*g - 3045. Give t(-5).\nAnswer: 340","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 490*f**5 - 2810*f**3 + 590561*f**2 + 15 wrt f.\nAnswer: 29400*f**2 - 16860","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 9879224 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -3*w**3 + 15*w**2 - 2*w + 12. Let q be m(5). Solve i + 1 = -n, 5*n + 10 = -q*i + 2 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -50433 - -219898. Let b = 17283 + 6182. Suppose -t - b = -r. Round t to the nearest 10000.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 820 is divided by 54.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 114*b**3*v**2 - 293*b*v**2 + 108632*v**2 wrt b?\nAnswer: 342*b**2*v**2 - 293*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2.8481 - -5.1519. What is the biggest value in 1, 0.56, 10, k?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 2 a when four letters picked without replacement from {k: 2, x: 3, a: 7}.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 794492 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2060 + -1412. Let x = -638 + b. Solve -5*y + 16 + x = -3*a, -a + 4*y = 18 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*g - 105*n + 102*n - 285 = 73, g + 5*n = 22 for g.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 378*d. Let o(t) = 2887*t**2. Give o(h(x)).\nAnswer: 412506108*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 - 1322583241.\nAnswer: -1322583259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, t: 3, z: 4, b: 2, u: 1}. What is prob of sequence zt?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-63)\/(-18))\/(-3*(-2)\/12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1642 = -6*n + 2072. Does 94 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 51398?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from lfemdmmdmld?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 11686 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 -2591, 2\/3, -1\/41, 1\/3, 0.3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4.1000712 + -4.1. What is j rounded to five decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*r**2 + 0*r**2 - 4*r + 8*r**2 - 2157*r**3 - 7*r**2 + 74.\nAnswer: -2157*r**3 + r**2 - 4*r + 74","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(sqrt(55)\/sqrt(5)) + -2*sqrt(700).\nAnswer: -19*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3857504 divided by -113456\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*n**5 + 250*n**4 - 2*n**3 + 230*n**2 + 18*n + 3.\nAnswer: 240*n**2 + 6000*n - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -11708, -11702, -11692, -11678?\n\"Answer: 2*u**2 - 11710","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 432495315?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 868.5942 weeks in milliseconds?\nAnswer: 525325772160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 12*c**2 + 320. Let s(x) = 19*x**2 + 512. Let l(p) = -8*f(p) + 5*s(p). Let t(n) = -2*n**2 - n + 1034. Calculate t(l(i)).\nAnswer: -2*i**4 + i**2 + 1034","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -291161, -291157, -291153?\n\"Answer: 4*p - 291165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4 - 10)\/((-9)\/2). Put 2, u, -80 in descending order.\nAnswer: 2, u, -80","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**2 - f**2 - 161*f**3 + 144*f**3)*(-4*f + 2*f - 3*f**2 + 2*f**2).\nAnswer: 17*f**5 + 36*f**4 + 4*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 5*y - 24 = 0, r = -8*y + 319 - 285 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 - 4*u**2 - 2*u + 3. What is b(4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f**2 + 2*f - 5. Let c be l(4). Let r = 40 + c. Let y(n) = -n**3 + 12*n**2 - 10*n - 10. Let v be y(r). Sort -0.1, -5, v.\nAnswer: -5, -0.1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002370384 to 4 decimal places.\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5848*c**2 - 5780*c + 1\/5*c**4 + 0 - 341\/5*c**3.\nAnswer: c*(c - 170)**2*(c - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101354908 a multiple of 575?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -45 - 124*c + 458*c - 252*c. What are the prime factors of f(5)?\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 13*g**2 + 12*g - 9. Let r = -24 + 27. Let n be -5 + r\/6*18. What are the prime factors of t(n)?\nAnswer: 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -99 + 120. Let z be 2 - (0 + -2 + 1). What is the greatest common factor of t and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 127 = 7*a. Let k = 82 - a. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes after 11:33 AM?\nAnswer: 10:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (0 - -2) - (-98 + 101)) + -8.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (264\/(-48)*(-2)\/33)\/(1\/(-72)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 3*x - 26. Let r be ((-2)\/4)\/((-2)\/24). Let j = r - 4. Calculate the remainder when j is divided by t(9).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.27 + 0.269986. Round v to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/7, -1108.8, -0.5, -4, 0.4, -0.03?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/22? (a) 202 (b) 0.4 (c) 15\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16984547?\nAnswer: 17, 999091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 + 4*z**2 - 2*z - 1. Let t be v(3). Let x(j) = j**2 - j - 3 - 3*j**t + 2. Let n(b) = -b**2 + 2*b - 2*b. What is n(k) - x(k)?\nAnswer: k**2 + k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2 + 31*f - 66.\nAnswer: (f - 2)*(f + 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 760 and 760.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 20, -21743, 5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.96 + -5. Let o = d - 0.08. Let y = 2.88 - o. Which is smaller: y or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104 a factor of 5616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d**3 - 6*d**2 - 6*d + 1. Let s(q) = -q + 6. Let p be s(11). Let j be t(p). What is the first derivative of -8*n**2 + 4*n**2 + j - 5*n**2 wrt n?\nAnswer: -18*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/2085376 and 33\/18247040?\nAnswer: 72988160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 + 3 + 0 + 1271507. Let x = j - 422140899\/332. Let v = 3\/166 - x. Calculate the common denominator of v and 21\/5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - 4*d + 3*d. Suppose d = -r - 2, r - 146 = 3*t - 427. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-2\/33))\/(c**(-8)*c) assuming c is positive.\nAnswer: c**(262\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of -7*h**3\/6 + h**2 + 5*h. Suppose -136*x = -132*x + 16. What is n(x)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -70957 + 70953. Let p be (1 - 1)\/(0 + 2). Put 4, p, v, 3\/7 in ascending order.\nAnswer: v, p, 3\/7, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 640183643 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 12:12 AM?\nAnswer: 5:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43235 - 23440 = -75*y. Does 11 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j**3\/7 - 255*j**2\/7 - 3*j\/7 + 255\/7 = 0.\nAnswer: -1, 1, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/270*-50 + 142\/(-1917). Put 133, 4, 3, g, -5 in decreasing order.\nAnswer: 133, 4, 3, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 2382 = -266. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -47*r**2. Let f(o) = 4*o**2. Give f(g(l)).\nAnswer: 8836*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9114*w**2 - 9114*w**2 - w**3.\nAnswer: -w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 64737.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1879?\nAnswer: 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.7 + 4.20338.\nAnswer: 6.90338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1\/3))**(-6))**3 assuming r is positive.\nAnswer: r**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93 is divided by 6\/24 + -2 + 103\/4?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i. Let z be (-1 - -4)\/(-3 + 45\/10). Let w(g) = -91*g - 4*g**z + 91*g. What is f(w(s))?\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 164 and 1599?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 28278 to the power of 1\/2, to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -45*y**2. Let n(m) = 12134*m. Determine h(n(o)).\nAnswer: -6625528020*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 11*m**3 - 4*m - 1. Let n(u) = 22*u**3 - 7*u - 2. Suppose 2*q = -5*w - 6, 4*w - q = 116 - 139. Give w*n(p) + 7*c(p).\nAnswer: -11*p**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 8\/39 (c) 0 (d) -17\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 PM and 1:21 AM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:14 PM and 6:42 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (261\/225*-5)\/(2\/(-1157)). Let m be (-3)\/(-9) + (-10051)\/3. Let t = x + m. Calculate the common denominator of -41\/2 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32288257 is divided by 126?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-106)\/(-265))\/(4\/(-15))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n - 2*n + 2*n + 11*n - 4*n + 0*n + (-3*n + 5*n - n)*(-2 - 1 + 5) + n + 2 - 2.\nAnswer: 13*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 2:12 PM?\nAnswer: 3:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**2 - 4*f. Let c be d(-5). Suppose 4*a = 3*s - 15, 7 = -4*a + 3*a + 4*s. Let w be 3\/21 + a\/21. Put c, w, -1 in ascending order.\nAnswer: c, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*i - 5334739 = -5334099 for i.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 169*f**2*t + 4*f*t + 2*f + 13*t wrt f.\nAnswer: 338*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + -2. Suppose u - b*p - 120 = 0, 6*u - u - 654 = -3*p. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 128*l - 365*l + 277*l.\nAnswer: 40*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sz when two letters picked without replacement from {t: 2, e: 4, o: 3, i: 3, z: 2, s: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 167\/18? (a) 0.276 (b) 0 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -90, 33, 22, -5 in ascending order.\nAnswer: -90, -5, 0, 22, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**2 + 65*u - 569. Calculate p(55).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of 0*b**2 + 1 - 4\/5*b**5 + 0*b**3 - 4*b + 0*b**4. What is the first derivative of m(u) wrt u?\nAnswer: -16*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 330 a factor of 920234591?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/3040 and 23\/836.\nAnswer: 33440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2412?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let 33*x**5\/8 + 399*x**4\/4 + 1629*x**3\/8 + 249*x**2\/2 + 33*x\/2 = 0. Calculate x.\nAnswer: -22, -1, -2\/11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 2 v, and 1 c when four letters picked without replacement from qadvqdkcv?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 74\/(-8) + 108\/12?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 12 = 4*c, -c + 5*c - 4*z - 1208519 + 1208531 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -2\/21 (b) -10.6 (c) -2 (d) 94 (e) -1 (f) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*p = -170 - 244 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 PM and 5:48 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.25 + -0.15. What is the closest to i in -1, 1\/3, -4, 20?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 - 9001*p - 45035. Give h(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 68*h**3 + 32*h**2 - 167*h - 197. Let g(d) = 385*d**3 + 191*d**2 - 1003*d - 1183. Let w(x) = 34*b(x) - 6*g(x). Suppose w(a) = 0. What is a?\nAnswer: -1, 10, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of -106*k**2 + 39*k + 116. Is z(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*d = 64 + 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/262 or -54?\nAnswer: 1\/262","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*w - 61*w - k - 23 = 0, k + 27 = 5*w. Let q(p) = -p - 8. Let d be q(-12). Suppose -1 = 2*v - 25. Solve v = -a + w*s, -3*s + 6 = a + d for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 32*x + 16*x - 537 = 0, 4*x + 1 = 4*z + 3*x for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 57771967?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88*l**3 - 57*l**3 - 24*l**3 - 13277.\nAnswer: 7*l**3 - 13277","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -49, -70, -97, -124, -145, -154?\nAnswer: -145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17760 + 26989. Suppose -2*p - q + f = -7835, -3*q = -3*p + 25605. Suppose 4*m = -t + 6*t - p, 5*m = 2*t - 3403. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 3*j**2 + 3*j - 2. Let y(o) = -o**2 + 4*o + 1. Let i(x) = -8*x**2 + 22*x + 7. Let l(z) = -i(z) + 6*y(z). What is -5*g(r) + 7*l(r)?\nAnswer: -r**2 - r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - m + 3*m - 7 = 0, -23 = -5*f + 2*m. Suppose -f*b = -b - 818. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, 33848396.\nAnswer: 4, 5, 33848396","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 - -11)*(-52)\/(-14). Let q = -47 - -62. Let l be (24\/q)\/4 - (-189)\/(-35). Which is the smallest value? (a) o (b) l (c) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2c - -ac?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 6 = -3*b, 4*j + 4*b = 0. Let i(g) = 14*g**2. Does 14 divide i(j)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiii when four letters picked without replacement from {t: 7, i: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aajjajajaa. What is prob of picking 2 a and 1 j?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 84662, 338729, 762350, 1355669, 2118830?\n\"Answer: 24*u**3 + 84633*u**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 195375474?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13 and 16081?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10.6 + -30.6. Which is the closest to s? (a) -2 (b) -3\/5 (c) -1\/2 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -17, 5 in increasing order.\nAnswer: -17, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 - 1. Let l be d(-3). Let z be (-122)\/l*(0 - 4). Let o = z + -37. What is the remainder when o is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2. Let a(k) = -k - 5. Let q be a(-7). Let m(p) = p**2 + 3*p**q - 5*p**2 + 4*p**2. Give v(m(i)).\nAnswer: 9*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 - -8.13. Let r = t + -0.53. Which is the closest to r? (a) 5 (b) -3 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2 + -1.2. Let k = 1548\/25 - 1553\/25. Which is the closest to n? (a) 5 (b) k (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 4264026?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 588635\/591 - 996. Let d = -3745\/1182 - y. Let z = d - -13\/4. Which is the closest to -1? (a) z (b) -0.097 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.6? (a) 0.1 (b) -1.3 (c) 1\/1548\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 AM and 3:53 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) 0.08 (c) -0.017\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -4*n**2. Let z(w) = -12*w**2. Give z(m(a)).\nAnswer: -192*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -6*g**2 + 16*g + 14. Let m(u) = -u**2. Let t(v) = -c(v) + 5*m(v). What is the units digit of t(17)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 PM and 3:10 AM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 53679, -5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -50 + 55. Suppose -q*c + 161 = -19. Let x = c + -33. Solve 0 = 4*u + 5*o - x*o + 22, 0 = o + 3 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-20))\/(372\/(-744)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.8 + -0.4. Let o = 0.052 - -38.948. Let c = o + -38. What is the nearest to c in w, -2, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12047*b - 12062*b + 285 for b.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 3*a - 4. Let s be d(5). Let j(l) = -13*l - 18. Let k be j(-9). Calculate the highest common factor of s and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 702?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -389 at most 3.958?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3648724 to the power of 1\/3, to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*z - 1. Suppose -z*k = -7*k. Solve k - 4 = -4*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 81\/154 - -1\/22. Suppose 3*f - 2 = 7. Which is the fourth biggest value? (a) -0.4 (b) f (c) u (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -129252 divided by 6\nAnswer: -21542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of -u**3\/3 + 12*u**2 - 23*u + 11. Let y be g(23). Sort y, 5, -12.\nAnswer: -12, y, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/27 in 55, -107, -5, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-270)\/75)\/((696\/640)\/(-29))\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(209)*1*-4)\/(sqrt(110)\/(sqrt(10)*-2) + sqrt(55)\/sqrt(80)))**2*5 + 3.\nAnswer: 24323","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 132 + -11031212101?\nAnswer: -11031211303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10896 and 1135?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 1 h when three letters picked without replacement from {b: 4, l: 2, h: 2, m: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 50447945?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of n**6\/1620 - n**4\/108 - 8*n**3\/3 + 11*n. Let i(x) be the second derivative of c(x). Factor i(f).\nAnswer: 2*(f - 1)*(f + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 43061 is divided by 2404?\nAnswer: 2193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 - 33*t - 17. Let q be y(-34). Let d be ((-340)\/q)\/((-4)\/(-6)). Solve 0 = 6*g - d - 14 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d45 (base 14) in base 3?\nAnswer: 10120122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 AM and 5:06 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7077181?\nAnswer: 7077181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of -108 - n**4 + 2*n + 4*n**4 + 112. Differentiate i(d) with respect to d.\nAnswer: 36*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 749.5978ml to litres.\nAnswer: 0.7495978","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-15823679988)\/(-48) + (-6)\/(-24). What is y rounded to the nearest one million?\nAnswer: 330000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c + 53*c - 17*c = 344 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 - 3*a**2 - a - 3. Let k be t(-3). Suppose -h - 4*j + 14 = 0, k*h + 4*j = h - 38. List the prime factors of h.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 - 553*k + 6488. Let u be l(12). Let w = 0.1 - 0. Which is the closest to u? (a) w (b) -1\/6 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/8228 and -75\/25432?\nAnswer: 279752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/2428920 and -67\/1440?\nAnswer: 9715680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 999?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -58\/2261 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22, -37, -62, -97, -142, -197?\nAnswer: -262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 4*t - 4, -5*r + 2 - 3 = -t. Suppose 0 = -5*d + 20, r = -2*y + 3*d - 2*d - 34. What is the units digit of (-10)\/y*57 - -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + -11000011111111000001110101?\nAnswer: -11000011111111000001110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3170.867977 - 3170.9. Let j = n + 0.032. What is j rounded to 5 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -8 (b) -4 (c) -571 (d) -5 (e) -1815\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0022047 rounded to 4 dps?\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6477858 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -w + 0*w**3 + 7*w**4 + 4*w**3 - 3*w**3 to p*w**4 + z*w**2 + f*w + g*w**3 + t and give p.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2165, 2166, 2167, 2168, 2169?\nAnswer: 2170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -58*z**2 - 32*z**4 + 62 + 2 + 26*z**2 + 30*z**2 wrt z?\nAnswer: -128*z**3 - 4*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 3*h = 10. Which is the smallest value? (a) h (b) 0.05 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 38*a**3*o**2 + 33*a**3*o + 8*a**2*o**2 + a*o**2 + 1699*a*o - 295*o**2 wrt o?\nAnswer: 76*a**3 + 16*a**2 + 2*a - 590","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -7158*b + 2. Let d(m) = -10*m + 61. Calculate d(a(t)).\nAnswer: 71580*t + 41","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*s = -26*s - 12. Suppose s*i + i = 92975. Suppose -5*q - i = -10*q. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 - 69*t - 214. Find the common denominator of 137\/1224 and y(-3).\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8145142\/35 + 232756. Let d = -188\/5 + q. Let v be (-2 + -1)\/((-105)\/10). Which is bigger: d or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 723474553?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-4) - (-21)\/14. Suppose 4*u = -20, -17 = -t*f + 3*u + 2*u. Which is the second biggest value? (a) 0.4 (b) f (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/36*3*(-1)\/(-2)*-21?\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Express (181*f - 114 + 114)*(-3 + 6 + 0) as z*f + q and give z.\nAnswer: 543","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000650165 to four dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 + 16*f**2 + 49*f - 10. Give n(-12).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -103 - -194. Let m = -86.3 + z. Let k = m + -5. Sort k, -0.2, -1 in decreasing order.\nAnswer: -0.2, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7 - -1)*(-6)\/(-27). Let f = -43.4 + 43. Which is the nearest to -0.2? (a) r (b) 5\/6 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 16*l - 6*l + 14*l. Let w(z) be the third derivative of 0*z + 0 - 72*z**2 + 1\/24*z**4 + 0*z**3. What is k(w(o))?\nAnswer: 24*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 355*l - 450*l + 95*l - 4*l**3 + l**3.\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 904 and 414526036?\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95921.79ml to litres.\nAnswer: 95.92179","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from cooccocococooccocco.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (2\/4)\/(-11 - -1 - -9)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 u when three letters picked without replacement from hsuushsshhssss?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1605?\nAnswer: 3, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 885900 by -88590.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 12:25 PM?\nAnswer: 3:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5.9 - -2.1. Let t = v - 3. Let z = -12 + 9. What is the second biggest value in z, t, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2578018117 a multiple of 10939?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (74 - 41 - 33 - 657*q)*(2 - 2*q - 2).\nAnswer: 1314*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 23 + 2\/(-2 - 0). Let r be o\/11*3*1. Solve 2*a + 4 = -r for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 133 + 0 + (7 - 3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5 + -4 + (-58)\/4*-8. Suppose 0 = 2*b - 11*b + h. Let l = -18 + b. Sort 2, 0, 4, l in increasing order.\nAnswer: l, 0, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {i: 11, m: 9}.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5047\/336 - 15)*(-8)\/(-10). Let b(k) be the third derivative of r*k**5 + 0*k + 3\/8*k**4 + 0 - 1\/6*k**3 + 13*k**2. Determine b(-8).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2973875 and 74?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 27, -1 in ascending order.\nAnswer: -1, 0, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -1*(1*(((sqrt(77) + sqrt(77)*1)\/sqrt(7))**2 + -5*(sqrt(11) + 0)) + -2*(sqrt(11)*-2)**2*-5*3).\nAnswer: -1365 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.56586984 + 14.59095744. Let x = i + -0.0246376. Let k = -14 + x. Round k to 4 decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -4*j**2 - 2*j + 1. Let c be q(1). Let p be (3\/c)\/(2\/(-10)). Suppose p*y - 4*o = 24, -y + 0*y + 8 = -5*o. Is y a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 + -9. Suppose -i + 18 = -5*t, 0 = 3*t + i - 3 + 9. Let s = 8 + t. Calculate the remainder when l is divided by s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -b - 744. Let m be (1*-1)\/(2\/b). Let y = -9 - m. Calculate the greatest common factor of y and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggprrgppgrggg. What is prob of picking 1 r and 1 p?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7\/3 + 26\/39. Let q(y) = y**2 + 4*y - 7. Let v be q(-6). Let d = v + w. What is the remainder when d is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 346 - 336. Let d(h) = -4*h + 39. What is d(g)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -14354931, -28709858, -43064785, -57419712, -71774639?\n\"Answer: -14354927*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 - 49*r - 1. Let y be i(56). Suppose y*u - 399*u = -272. What is the remainder when u is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5828591 and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 3*z)*(-2*z**4 + 2*z**4 - z**4)*((-2 - 1 + 2)*(4 - 6 + 4) + 0 + 1 - 2 + (-5 + 2 + 2)*(-2 + 5 + 1) + (2 + 0 + 0)*(2 + 0 + 2)).\nAnswer: -3*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 3336*b + 3333*b - 93 = 0, 101 = -q - 4*b for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -6*g**3 - 11*g**2 - 39*g - 2. Let n(z) = -23*z**3 - 44*z**2 - 154*z - 8. Let k(s) = -5*n(s) + 19*u(s). What is k(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = k - 9, 1505*k = -5*t + 8*t + 1506*k + 9 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11239 = 494*x - 3411 - 9062 for x.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*v**3 - 102*v**2 - 224*v + 72 = 0. What is v?\nAnswer: -2, 2\/7, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 - 3. Let k be 138602\/9 - w\/54. Round k to the nearest one thousand.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -s + 8. Suppose 0 = -s*y + 3*u + 36, -2*y + 3*u + 18 = -0*u. What is the least common multiple of 10 and y?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dcyc when four letters picked without replacement from {d: 8, y: 5, h: 2, c: 2, b: 2}.\nAnswer: 5\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 142*q + 32 = 147*q - 4*h, -q + 4*h + 16 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -0 + 5. Let p = -16618.6 + 16619. Which is the fourth biggest value? (a) 5\/3 (b) p (c) 0.1 (d) z\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -418, -563, -712, -865, -1022, -1183, -1348?\nAnswer: -1517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - g - 15 + 8.\nAnswer: -g - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5953*p + 2972*p + 2967*p - 4*p**3 + (-3 + 1 + 0)*(0 - 2 + 1)*(-3*p + 3*p - 3*p**3).\nAnswer: -10*p**3 - 14*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.11? (a) -14 (b) 0.3 (c) -4 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 + -15. Let b(q) = -2*q**2 + 3*q + 6. Let j(u) = -u**2 + 2*u + 5. What is a*b(o) + 4*j(o)?\nAnswer: 2*o**2 - o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + 25?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h + 10. Let t be o(6). Solve -5*m = -3*x - 22, -x - t*m - 12 = 4*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.06 + 0.06. Let d = g + 7. Sort 0, 1\/4, d in descending order.\nAnswer: d, 1\/4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 13*u**3 + 487396*u**2 + 3*u - 2796585.\nAnswer: 39*u**2 + 974792*u + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/1*((-3107)\/(-390) + -8).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (16 + -15 - 6)*3\/(12\/(-20)). Solve -4*z - v = -5 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/147 in -1151, -6, -5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-2)*(-1 + 6\/(-4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 20*c + 2483. Determine l(-125).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -a7a8 (base 14) in base 4?\nAnswer: -13010200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(65)\/((sqrt(5) + sqrt(5)*6)*5).\nAnswer: sqrt(13)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 49297511 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1357500?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 - 2*c - 1. Let l(m) = -m - 6. Let p be l(-5). Let k be o(p). Solve 9 + 1 = k*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.90796746 rounded to 2 decimal places?\nAnswer: -0.91","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*a + a + a)*(a + a + 0*a) + 236*a - 26*a**2 - 236*a)*(a + 0*a - 3*a).\nAnswer: 60*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 3*t = -497 + 476, 0 = -z + 5*t - 11 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**2. Let f(x) = 2648*x + 339. Give f(d(b)).\nAnswer: -2648*b**2 + 339","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 15434 (base 9) to base 10\nAnswer: 10561","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*q + 5*p + 13, -8*q + 1 = -4*q + p for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 2)*(-14*y + 12*y + 4*y**2 - 2*y**2 - 2).\nAnswer: 4*y**2 - 4*y - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 156 + -92. Let x be 7 - (-1)\/(-2)*-2. What is the greatest common divisor of z and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 1:09 PM?\nAnswer: 1:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -18 + -3. Let g = 42 + u. Calculate the remainder when g is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(242) + -2 - (-4 + sqrt(242) + 3)**2.\nAnswer: -248 + 33*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 36251365?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = q + 4. Let y be (-1 - q) + (3 - 4). Suppose u - 2*u - 9 = 2*m, 15 = -5*u + y*m. Sort u, 2, -2 in decreasing order.\nAnswer: 2, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27.3694 + 0.0806. Let r = 27.45002278 - c. Round r to 6 dps.\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z**5\/17 + 5888680*z**4\/17 + 23554740*z**3\/17 + 2078360*z**2 + 23554750*z\/17 + 5888688\/17 = 0 for z.\nAnswer: -1, 2944344","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -20623\/59 at most as big as -351?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k - 3. Let w be a(4). Suppose -3 = 5*y - u - 37, -3*y - w*u = -26. What is the greatest common divisor of y and 133?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of -g**3\/7 + 183*g**2\/7 - 11163*g\/7 - 16. Factor l(m).\nAnswer: -3*(m - 61)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*t**2 - 13*t**2 + 23*t**2.\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 198288 divided by -6.\nAnswer: -33048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4*(-3)\/40*(-25)\/90)\/((-2934)\/(-5216)).\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-18)\/8 - (-5)\/20. Let f = 5 + h. Solve -f - 5 = 2*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.06 - 3.49. Let r = b - -0.68. Let p = r - 0.16. What is p rounded to 1 dp?\nAnswer: -2.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 - (((-6)\/21 - 160\/(-70)) + -2). Solve 4*a + 13 = 3*u, 2*u = -a - o*a + 3 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67927 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.43907us in nanoseconds?\nAnswer: 51439.07","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 2*o**4\/9 + 9628*o**3\/9 + 311320*o**2\/3 + 1839044*o\/9 + 914710\/9 = 0.\nAnswer: -4715, -97, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 801873551 to the nearest integer?\nAnswer: 929","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 292 + ((-45)\/27 - (-2)\/3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21*(-16)\/1680)\/(9\/495)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 94948989?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36041 divided by -1046.\nAnswer: -36041\/1046","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -71431, -71144, -70855, -70564?\nAnswer: -70271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkknwwwvkkw. What is prob of picking 1 n, 1 v, and 2 w?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.630893 microseconds in milliseconds?\nAnswer: 0.003630893","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12 * -51788.15.\nAnswer: -621457.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*p + 17*p = -24. Suppose 4*a + 5*q = 932, 4*q - 932 = -p*a + 2*q. List the prime factors of a.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*(-3)\/(-36)*(30\/(-35) - 0).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*d + d + 0*d)*(60*d + 18*d - 14*d) in the form m*d + q*d**2 + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - -12. Suppose i = 3*n + 3*n. Suppose 11*k - 32 - 12 = 0. Solve 12 = -4*x - 2*m + 6*m, 5 = -k*x - n*m for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.03, -1.005, -0.5?\nAnswer: -1.005","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/5 - 1971\/45. Let f = 533\/11 + t. Calculate the common denominator of f and -48.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2. Let q be 92\/230 + (9\/15 - 1). Let z(j) be the third derivative of 0*j + 0*j**3 - 7\/60*j**5 + q*j**4 + 5*j**2 + 0. Determine z(i(s)).\nAnswer: -7*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**19\/u*u**4*u*u**13*u*(u\/((u**19*u)\/u)*u)\/u assuming u is positive.\nAnswer: u**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 39 and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3492744 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 + 9*c**2 + 9*c + 12. Let t be s(-8). Suppose -186 = -t*r + 2*r. Suppose f - r = -2*f. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 4*r = -2, b + 0*r - 5*r + 7 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d + 30. Let y(t) = t + 12. Let u(j) = 5*i(j) - 12*y(j). What is the lowest common multiple of u(-4) and 12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1723918?\nAnswer: 2, 7, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.78 + -0.78. What is the fourth smallest value in 0.65, a, -1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -443904, -887808, -1331712, -1775616, -2219520?\n\"Answer: -443904*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 51 + -42. Let q be ((-2)\/3)\/((-4 + s)\/(-300)). Suppose 8*i - q = 48. Is 4 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -19, -29, 1035 in descending order.\nAnswer: 1035, 7, -19, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*u - 5*u - 38*u + 81*u - 125*u**2 wrt u.\nAnswer: -250","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -8*x**2 - 10*x - 1. Let r(l) = -23*l**2 - 27*l - 3. Let k(v) = -8*g(v) + 3*r(v). Let q(y) = 6*y**2 + y. What is -3*k(m) - 2*q(m)?\nAnswer: 3*m**2 + m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 21327 minus -968?\nAnswer: 22295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eett when four letters picked without replacement from {e: 7, t: 5}?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30 and 725163.\nAnswer: 7251630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 450568?\nAnswer: 2, 17, 3313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3, -0.6, -2, -12 in decreasing order.\nAnswer: 2\/3, -0.6, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 550467 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, 2, 11, 20, 29?\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 298054*x - 297934*x - 6360 for x.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 31*d**2\/9 - 38645*d\/9 - 156068\/3.\nAnswer: (d + 12)*(31*d - 39017)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -95 in -3, 0.5, 0, 0.1, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*j + 5*j + 4. What is the third derivative of -47*k**6 + 155*k**2 + 615*k**4 - 614*k**4 + j - 4 wrt k?\nAnswer: -5640*k**3 + 24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 61 in -3\/23, 0.5, 0.2, 6, -3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5.87 + 0.93. Let i = o + -0.06. Put -2\/5, 5, i in decreasing order.\nAnswer: 5, -2\/5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9, -21, -57, -117, -201, -309, -441?\nAnswer: -597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 6*n = 5*n + 3, 15 = -5*x + 5*n. Suppose 4*w + w - g - 77001 = x, 4*w = -4*g + 61596. Round w to the nearest 1000.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -231 - -38. Let b = 193 + g. Let p = 0 + 0.1. Is b at least as big as p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1559.96 days in seconds?\nAnswer: 134780544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.490805 rounded to 3 decimal places?\nAnswer: 1.491","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -79 divided by -79.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-195)\/(-130)*3\/(27\/12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9500?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (1 + sqrt(3))**2 + -1)*-3.\nAnswer: -6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 28 + 38 + 37 - 140 - s**2 + 32 + 7*s. Suppose -w = w + 2. Let v(d) = -d**2 + d - 1. Give w*o(n) + 5*v(n).\nAnswer: -4*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.2 (b) -1\/153 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001110111000010 - -11010000?\nAnswer: 1001111010010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 388 + -226. Suppose 62 = 8*p - u. Is p a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 2. Let n = 2.8 + -3. Let j = n + h. Which is the second smallest value? (a) -0.5 (b) j (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/(-2)*(-3)\/(-12)*-4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + (0 - (-6 + (3 - (5 - 8))))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 + 4*t - 4)*(-2 + 2 + 2*t)*(-4661 + 2663 - 3125) to r + u*t**2 + w*t and give u.\nAnswer: -40984","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -819\/4 + 206. Suppose 0 = -0*u + 3*u - 3. Let o = 27783\/4 + -6946. What is the nearest to u in t, o, 5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2310 (base 4) in base 7?\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes before 2:02 AM?\nAnswer: 6:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4642 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 360493.\nAnswer: 144197.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**2 - 7. Let d be v(-9). Suppose 172 = -2*y - 2*j, y = 6*j - j - d. Let i = -35 - y. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 i when three letters picked without replacement from rnrrniii?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.8 plus -324675.08575515?\nAnswer: -324673.28575515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 611*s - 17. What is the hundreds digit of f(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163*y - 6450 = -482*y for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 185 smaller than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2\/71, -4\/3, -2 in decreasing order.\nAnswer: 3, -2\/71, -4\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 11, j: 3}. What is prob of picking 1 b and 1 j?\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 - 12*n**2 + 3. Let f be v(12). Suppose 2*l = -3*l. Let k = -59 + 84. Solve -5*x = -5*u + k, -5*x + l*x = -f*u + 15 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 275180705.\nAnswer: 5, 19, 2896639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 45394, 0.5, 0.2, 7\/4, -2\/75?\nAnswer: 45394","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y**3 + 3*y**2 + 3*y + 4. Let s(a) = -2*a**3 + 6*a**2 + 5*a + 9. Let j = -381 + 385. What is j*s(c) - 9*k(c)?\nAnswer: c**3 - 3*c**2 - 7*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 3*c = 0. Let k be ((-10)\/220)\/(1\/(-4)). Let s = -0.0382 + 0.0482. Sort c, s, k.\nAnswer: c, s, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (7 + (-20)\/(-32))*8\/10 and 562\/(-40) + (-2)\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one quarter of a millennium?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) -4 (c) 2 (d) -3\/5 (e) -9.4 (f) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1ba755 (base 14) in base 10?\nAnswer: 989287","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 PM and 3:34 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 + -1)\/((-20)\/(-6)). What is the nearest to 1\/2 in a, 4\/3, -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 22433*r + 22440*r + 0.\nAnswer: 7*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes after 4:16 PM?\nAnswer: 6:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -7. Suppose -3*b + 9 + 9 = l. What is the lowest common multiple of (-15)\/(-9)*6 + -1 and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.004 - -4. Let u = d - 0. Round u to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3002263, -6004528, -9006793, -12009058, -15011323, -18013588?\nAnswer: -21015853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 14617, 14616, 14615, 14614, 14613?\n\"Answer: -c + 14618","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 187 = 183. Is 2\/53 bigger than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 70 and 15630?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -123593.7 to the nearest one hundred.\nAnswer: -123600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -345 + 333. Find the common denominator of 133\/150 and (-1272)\/576*f\/(-75).\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149287 to the power of 1\/3, to the nearest integer?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1226.787983 - 1690.7877632. Let z = 464 + j. Round z to 4 dps.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13587*v**3 + 0 - 4 + 13588*v**3 + 2 + 2.\nAnswer: v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -434 - -437. Put -13, 4, i, -0.5 in decreasing order.\nAnswer: 4, i, -0.5, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.22 - 0.72. Which is the third biggest value? (a) -6 (b) w (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1346 (base 9) in base 4?\nAnswer: 33312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1094 + -812. Let q(l) = l**2 - t*l + 282*l. Let w(v) = -2*v + 10. Give w(q(m)).\nAnswer: -2*m**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - -1010100100101000?\nAnswer: 1010100100101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110 is divided by 67?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 + -13. Find b such that 8*b**3 - 6*b**4 - 4*b**5 + 8*b**2 - 3 + 2*b**4 - 1 - o*b = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 79\/5, 0.5, 4, -0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -825 - 65*k**2 + 3*k**3 - 6491*k + 98*k**2 + 6416*k = 0. Calculate k.\nAnswer: -11, -5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mgmggpwgpogphm. What is prob of sequence poh?\nAnswer: 1\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 2*sqrt(1008)*4)**2.\nAnswer: -384*sqrt(7) + 64516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 18446 (base 14) to base 16\nAnswer: ef1e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/15 (b) 37407 (c) -89\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-14152)\/(-3) + 2\/3. Suppose -43*o + b = -6978. What are the prime factors of o?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8875.31 litres?\nAnswer: 8875310","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = w - 20, 4*s = s. Let v = -17 + w. Solve -o**3 + 5*o**2 + 10*o**2 - 9*o - 27 - 2*o**v = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30060 and 600.\nAnswer: 300600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 39\/(-9) + (-16)\/24. Let n(l) = -l**2 + 7*l - 4. Let v be n(4). Let r = b + v. What is the remainder when 6 is divided by r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 4 = 7. Suppose -30 = 6*x - 11*x. Let g = s - x. Solve -v + 0*v + h = 6, -g*h = -v - 10 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 20120199\nAnswer: -6036059.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of g**6\/48 + 149*g**5\/24 + 28835*g**4\/48 + 26645*g**3\/4 + 1924*g**2. Factor o(h).\nAnswer: 5*(h + 3)*(h + 73)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q, 1 y, and 1 l when four letters picked without replacement from qyqlqqyqqlqqyqq?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 20*x. Suppose -s - 13 = -8*w + 4*w, 4*s - 2 = -2*w. Suppose -2*v = h - 7, h + 0*h - w = 0. Let y(u) = -u**2 + v*u**2 - 2*u**2. Determine y(i(a)).\nAnswer: -400*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 225032 to the nearest integer?\nAnswer: 474","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 176\/(-8)*(4 - 155\/40)\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d**4 - d**4 - 3*d**4)*(2*d - 5*d + d) + 3*d**3 - 3*d**3 + d**5 + (5*d**3 + 0*d**3 - d**3)*(2*d**2 + 0*d + 0*d) + 0*d**5 + 2*d**5 + 0*d**5.\nAnswer: 15*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(66) - -3*1*sqrt(66))\/(-5*sqrt(24) + sqrt(6)).\nAnswer: -4*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -191220870 to the nearest 1000000.\nAnswer: -191000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 4\/5, -0.3, 5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -166, -1, -4, -2 in decreasing order.\nAnswer: -1, -2, -4, -166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*g + 211 - 193. What is the third derivative of -2*y**6 - 234*y**4 - 74*y**5 + 234*y**4 + 139*y**g wrt y?\nAnswer: -240*y**3 - 4440*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1648 and 176.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/12 and 41\/40410.\nAnswer: 80820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 3*q + 2*q = 60, 0 = -i + 5*q. Suppose -1190 = -i*a + a. Suppose -3*w = -a + 7. Does 4 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 65*k**4 + 48*k**4 - 88*k**4 + k**3 - 2*k**2 + (-3*k**3 - k**3 + 2*k**3)*(-31 + 31 - 131*k) in the form i*k**4 + c*k**2 + o*k + g*k**3 + b and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.8 and 4.932259.\nAnswer: -8.8780662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1524 - -778?\nAnswer: -746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a year in months?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 25538589 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -1347*v - 127988. Determine t(-95).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1337 is divided by 64.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -9 + (2 - -6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 31 and 20.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/36*(-22)\/(132\/(-162))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 + 82. Let c(w) be the third derivative of -w**4\/12 + w**2 + 114. Give c(d(s)).\nAnswer: -2*s**2 - 164","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.0282 (b) -0.1 (c) -7 (d) 0.1 (e) 0.45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 8*n + 3. Let v be (15 + -36)*4\/(-14). Let f(t) = 17*t + 7. Determine v*f(m) - 13*b(m).\nAnswer: -2*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/15979 and 31\/841.\nAnswer: 15979","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*k = -5*k - 12, 5*d - 4*k = -27 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*d + 3*f - 8, -5*f + 5 = 19*d - 14*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 19517634?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 6, 28, 90, 210, 406, 696, 1098, 1630?\n\"Answer: 3*p**3 + 2*p**2 - 5*p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 134 + -2. Calculate the remainder when a is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*x*x**(1\/8)*x)\/x)**38\/(x**(2\/53)\/x*x**(2\/5)))**(-37) assuming x is positive.\nAnswer: x**(-3189067\/1060)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.030465 and -10.671 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.039 + 0.0331?\nAnswer: -0.0059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((534\/(-3204))\/(((-70)\/12)\/(-5))).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -20*h**6 - 2*h**5 - 593*h**3 - 4*h**2 - 2*h - 33?\nAnswer: -2400*h**3 - 120*h**2 - 3558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, w: 3, x: 2, l: 1, k: 3}. Give prob of picking 1 k and 1 l.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + -12. Let l = n - -3. Let q(t) = -t + 10. Let k be q(l). Solve 16 = -2*v + 2*s, v = 2*v + 5*s - k for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 4592 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 271*a**3\/5 - 576*a**2\/5 + 339*a\/5 - 34\/5 = 0. What is a?\nAnswer: 34\/271, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*c**3 - 14615*c**2 - 2176150*c.\nAnswer: 5*c*(c - 3065)*(c + 142)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 4 + 3)*(10*g**4 - 75 + 75) - 4*g**3 + 4*g**3 - g**4 as p*g**3 + q*g**2 + x*g**4 + b + o*g and give x.\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -230601 by 42.\nAnswer: -10981\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 207880307 to the nearest integer?\nAnswer: 14418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from gghhhhhhhhh?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1657 - c891?\nAnswer: -11218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13037*n**2*x**5 - 8*n**2*x**3 - n**2*x**2 + 11*n**2 - 53*n*x + x**2 - 252*x wrt x.\nAnswer: -782220*n**2*x**2 - 48*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -55*l + 1407. What is v(26)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -4*g**2 - 54*g - 79. Give u(-12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 771744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.011, 1\/3, 4, -4, 5, 0.04 in descending order.\nAnswer: 5, 4, 1\/3, 0.04, 0.011, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**5\/z**(2\/23))\/(z*((z*z**(3\/2)*z)\/z*z)\/z*z**6)*(((z*(z*z\/z**6*z*z)\/z)\/z)\/z**(-3\/7))\/(z**(3\/5)*z*z**(-2\/9)*z) assuming z is positive.\nAnswer: z**(-138179\/14490)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 3*j**2 + 16*j - 14. Suppose 0 = 5*u + 3*b - 2, 5*u - 4*u - b - 2 = 0. Let o be z(u). Solve o*d + 17 = 2 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -2\/23 (b) -59 (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -62a8 + -212?\nAnswer: -64ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2. Let h(r) = 7*r - 9. Calculate h(y) - 4*t(y).\nAnswer: 7*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-3)*d**(-1\/9)*d*d**(3\/5)\/(d*d**(3\/10)))**42 assuming d is positive.\nAnswer: d**(-1771\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 2*r**2 - 42*r - 54. Let j be i(23). Solve -j = -4*m - 42 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 494146 is divided by 164437?\nAnswer: 835","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 7*c + 6 = 0. Suppose 3*b = 33 + c. Solve b - 32 = -5*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2262?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 17 = -4*j, -3*j + 5 + 4 = -5*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 289773.4 tonnes in nanograms?\nAnswer: 289773400000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -4*l + 112. Let s be 0 + 3 - (-3 + 1). Solve -s*r = -h - 25, -4*r + 4 + l = h for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4 and -97\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 1, -15, 13, -14 in decreasing order.\nAnswer: 13, 1, -7, -14, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (74 - 74 - 122*k)*(-k + 12*k - 2*k + (-2*k - 2*k + 5*k)*(1 + 5 - 4)) to the form j + l*k + n*k**2 and give n.\nAnswer: -1342","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.25 and 82795.\nAnswer: 82794.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1094 = 2*j + 6*c - 1072, -6*c = -3*j - 108 for j.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2124 + 0?\nAnswer: 2124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4932*p**2 - 3532 with respect to p.\nAnswer: -9864*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 97, 247, 383, 499, 589, 647?\n\"Answer: -t**3 - t**2 + 160*t - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-10))**11 assuming t is positive.\nAnswer: t**(-110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of -3*j**4 - j**2 - 45*j + 44. Find the first derivative of v(g) wrt g.\nAnswer: -36*g**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1239*c - 2968 = 1186*c. Solve 44*b + c = 276 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 203, 748, 1659, 2936?\nAnswer: 4579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in eighty-one quarters of a kilogram?\nAnswer: 20250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6019, -11994, -17967, -23938?\nAnswer: -29907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {p: 2, g: 1, e: 1, h: 3}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3510145 + 3?\nAnswer: 3510148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12.704299 or 1.8?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 200 = -5*r, -2*a - 110 = 5*r - r. Let c(o) = 6*o**2 + 3*o + 4. Let k be c(3). Let p = k + a. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 318671 is divided by 159331.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 94753?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -375.804 rounded to the nearest integer?\nAnswer: -376","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 + 4*u - 3. Let d be w(3). Let i = 57 + -56.9. What is the second biggest value in d, -1\/8, i?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d = 4*d + 16. Let g(i) be the second derivative of -1\/3*i**3 - 5\/12*i**4 + 2*i - 1\/20*i**5 + 0 + 0*i**2. Determine g(d).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7064 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 33030299 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -115 - -119. Let c(b) = b**2 - 6*b. Give c(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**2 + 0 + 0)*(2*t + 1 - 1)*(-2*t**2 - 2 + 2).\nAnswer: 8*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 29*j**5*m - 359*j**4 + j**3*m**3 - j**2*m**2 + j**2 + 31*j*m**2 + m**3 + 18*m wrt j?\nAnswer: 1740*j**2*m - 8616*j + 6*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = 2*n, q - 4*n = 294 - 276 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (2 + -8 - -13)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 3454*y**2 - 17660*y + 12. Calculate n(5).\nAnswer: -1938","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9450, 9442, 9412, 9348, 9238, 9070, 8832, 8512?\nAnswer: 8098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -4*m + 16. Let o = -1 - -3. Let t be 5\/2*4\/5. Solve -r + 2 = t*f + m*r, -4*f = o*r - 4 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of o**4\/24 + 8*o**3\/3 + 3*o**2. Let i be d(-12). Calculate the remainder when 7 is divided by (i - -2)\/(-1 + 3).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(7\/2)\/(o*o*(o*o**(2\/13)*o)\/o)*(o\/(o*(o\/((o**4*o)\/o))\/o))\/o**(-5) assuming o is positive.\nAnswer: o**(243\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 38995770491 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 - 14*i**2 + 52*i - 20. Calculate the least common multiple of 70 and h(6).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2385827 - -1?\nAnswer: 2385828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**5 + 192*a + 3*a**3 + 11*a**3 - 146*a**2 + 18*a**4 - 8*a**3 - 72.\nAnswer: 2*(a - 1)**3*(a + 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 3:52 PM?\nAnswer: 9:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33306 is divided by 10951?\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66672 is divided by 13334.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/13, -3\/7, 4\/3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of z**4\/4 - 2*z**3\/3 + 2*z + 2. Let s be k(2). Let r(h) = -s*h + 2*h + h. Calculate r(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 575 divided by 489.\nAnswer: 575\/489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0.25 * 46060\nAnswer: 11515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o**3 - 50*o**2 + 9*o - 212. Calculate g(25).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -2*y + 3*i + 32, 13 = 5*y + 3*i. What is the second biggest value in y, -3\/4, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -p - p + 0*p**2 - 5*p**3 + 8*p**3 - 2*p**2 as b*p**3 + n*p + g + i*p**2 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -3, -2, 3.\nAnswer: -6, -3, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.1 + 4. Let v(r) = r**3 - 25*r**2 + 20*r + 100. Let j be v(24). What is the second smallest value in n, -2, j, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3481*c**2 - 7145*c**2 + 5363*c**2.\nAnswer: 1699*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hx when two letters picked without replacement from {y: 4, x: 1, i: 5, h: 5}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -5*l**3 + 122860*l**2 - 491380*l + 491360 = 0.\nAnswer: 2, 24568","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (52 - 2*b - 52)*(-2 + 6 - 2)*(0 - 2 - 1)*(-1 - 2 + 5).\nAnswer: 24*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -13 divided by 5923\nAnswer: -13\/5923","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14681, 29368, 44045, 58706, 73345, 87956, 102533, 117070?\nAnswer: 131561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-2*sqrt(432))**2 - (-1 + (sqrt(48))**2 + (5*(-2*sqrt(3) + sqrt(3)))**2).\nAnswer: 1604","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-4)*j)\/(j*j**(-9)))\/((j\/j**(-1\/2))\/j)**(-11))**(-1\/59) assuming j is positive.\nAnswer: j**(-21\/118)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 12 = 0, 5*u + 78 = 2*o + 109 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3136528 and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -38915*n - 1945749. Determine z(-50).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v**3 - 6*v**2 + 5*v - 9. Let t be b(-7). Suppose -t*j - 3*r - 5 = 1, 2*j + 5*r = -10. Which is smaller: 2 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*q = -50*q + 10 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 48, -4\/17, 37, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3338 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 2*z**3 - 31*z**2 - 2*z - 96. Calculate the smallest common multiple of v(16) and 400.\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 3 = g, 0*y + g = 2*y - 5 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -249779*z + 4050 = -249829*z for z.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 11796, 23584, 35348, 47076, 58756, 70376?\n\"Answer: -2*l**3 + 11802*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3567015288.\nAnswer: 2, 3, 2503, 19793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75*v**2 + 302*v**2 - 63*v**2 + 384*v**2 - 63*v**2.\nAnswer: 485*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*i**3*l**3 - 283206*i**3*l**2 + 163*i**2*l**3 + 3*i**2*l**2 - 41*i**2 - 2*l**3 + 21*l wrt i?\nAnswer: 30*l**3 - 1699236*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 14) to base 5\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 152, 650, 1480, 2642, 4136, 5962, 8120?\nAnswer: 10610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -5*v**3 + 22*v**2 + 2. Let s = 2171 - 2175. Let t(n) = -9*n**3 + 45*n**2 + 3. Give s*t(z) + 7*i(z).\nAnswer: z**3 - 26*z**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -3*l + 17, -l = 1546*s - 1548*s - 7. Let -18\/7 - 39\/7*t - 24\/7*t**2 - 3\/7*t**l = 0. What is t?\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 375585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (80\/(-140))\/(5 + -6)\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16.7 + -16.9. Which is smaller: -2.03 or h?\nAnswer: -2.03","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 161 - 293 + 16*q**2 + 3*q**2 + 132.\nAnswer: 19*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of 19*f**3\/6 - 27*f**2 + 69*f + 3. Let z be v(5). What is the greatest common factor of z and 123?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 962078 and 351.\nAnswer: 25976106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2445*a**5*h**3 + 3345*a**2*h**3 - 7*a*h**3 + 4*a*h + 43706*h wrt a.\nAnswer: 48900*a**3*h**3 + 6690*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((sqrt(304) + -1)**2 - sqrt(304))*3 - 4*(sqrt(2299) - (sqrt(2299)*-1)**2*-5))*5*-6.\nAnswer: 2400*sqrt(19) + 1351980","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.0571786ns?\nAnswer: 0.0000571786","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (715\/1040)\/((-1)\/(-8)).\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o + 8. Let n be k(6). Find the second derivative of -3*j**n + 2*j - 3*j**2 + 6*j**2 - j**5 wrt j.\nAnswer: -20*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of 5*r**7\/21 + r**5\/10 - 11*r**3\/6 - 6*r**2 + 7*r + 22. What is the second derivative of x(n) wrt n?\nAnswer: 200*n**3 + 12*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of -k**7\/280 + k**4\/6 + k**3\/3 - 4*k**2. Let z(h) be the first derivative of d(h). Differentiate z(t) with respect to t.\nAnswer: -9*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 62*v + 312. Let r be p(-5). Let z = -9 - -3. Sort z, -5, r in ascending order.\nAnswer: z, -5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -51*x - 1. Let n be w(2). Let j be 1\/2 - n\/2. Let h = -31 + j. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39053, 312572, 1054971, 2500688, 4884161, 8439828, 13402127, 20005496?\nAnswer: 28484373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6 or 94?\nAnswer: 94","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -5*p - 11. Let b(c) = c. Let q(g) = 4*b(g) + r(g). Let k be q(-15). Which is bigger: 5 or k?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z - 4*z + 36. Let r be (-800)\/z*(-72)\/15. What is the tens digit of ((-3)\/(-4))\/(4\/r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 302*l - 351. What is the tens digit of d(21)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 24873, 23201, 21529, 19857?\nAnswer: 18185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 11325437 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/2 + 1039*x\/2 + 5145.\nAnswer: (x + 10)*(x + 1029)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*y - 20*y - 5*y**3)*(-5 - 3 + 1).\nAnswer: 35*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3274*h**2*m**2 - 7*h**2*m + h*m - 49 wrt m.\nAnswer: -6548*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppi when three letters picked without replacement from pvpippqvpippvpqpi.\nAnswer: 9\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49563 is divided by 4944.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of -4\/3*c**3 + 10*c - 7\/12*c**4 - 4*c**2 - 1\/20*c**5 - 7. Let p(b) be the first derivative of x(b). Determine p(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -199 - -197.19. Let x = z - -0.21. Let k = x + 1.60000088. What is k rounded to 7 dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x**(-3\/11)))**(1\/3) assuming x is positive.\nAnswer: x**(1\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a = -71 - 7. Let r = -63 - -93. Let f = r + 19. Calculate the remainder when f is divided by a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5086043 is divided by 1017207.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -11 + 7 - (3 + (-4 - -7)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 35*f - 89. List the prime factors of k(11).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 + 3*v**2 - 2*v + 13. Let d be r(3). Suppose -d*k = -3*g - 3*k + 1228, 2*k + 2042 = 5*g. Is g a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-10) - 1760\/(-275)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of q**3\/3 - 2*q**2 - 2*q + 89. Give k(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 95 + -89. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w, 1 g, and 1 f when four letters picked without replacement from {m: 1, f: 4, w: 1, g: 7, q: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11\/2, 28684, 1\/23, -1, -1\/2.\nAnswer: -1, -1\/2, 1\/23, 11\/2, 28684","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 9:04 PM?\nAnswer: 1:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2093.\nAnswer: 7, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7476 in -0.1, -0.049, -5, -0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/2 - 1746\/(-12). Let j = -49 + l. Suppose -f - 33 = -t - 2*f, -3*t - 2*f = -j. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 44191 - 44182. Suppose q - 702 = -q. Calculate the greatest common factor of q and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -2 + 5 + 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - 5 - (-6 - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.4, 0.7, -0.09, 5.44 in increasing order.\nAnswer: -1.4, -0.09, 0.7, 5.44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a century in decades?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50349?\nAnswer: 3, 13, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 PM and 5:06 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 899 is divided by 41?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66559?\nAnswer: 101, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34 + 37 - 71 - 3655293*w**3.\nAnswer: -3655293*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 + 3. What is the common denominator of (-44)\/(-9) - l\/1 and -57\/4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -7*r + 49. Let b(s) be the second derivative of -1\/5*s**3 + 2\/5*s**2 - 3*s + 1\/30*s**r + 0. Solve b(u) = 0 for u.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 c when two letters picked without replacement from cyx?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20925?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.51073 + -0.11073. Which is the fifth biggest value? (a) o (b) -1 (c) 4\/3 (d) 5 (e) -12\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 63\/8879504 and 47\/40.\nAnswer: 44397520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 5017617?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 - 5*l + 1193. Is z(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 39 + -59. What are the prime factors of (t\/(-8) - 1)\/(24\/1552)?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**2 + 3318*s - 49999. What is h(15)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -35*i**5 - 3805*i**4 + 8860*i**3 - 2220*i**2 = 0.\nAnswer: -111, 0, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 17092, 19, -9 in increasing order.\nAnswer: -9, -4, -1, 19, 17092","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -44*z + 2298. What is g(51)?\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1889814187 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*h - 4 = 4*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 divided by 75748.\nAnswer: 8\/18937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 910 by -7.\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5.947 (b) -5\/4 (c) 0.1 (d) -96\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 427 divided by 376\nAnswer: 427\/376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 90436, -0.1, 19, -3\/8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 + -10. Solve 2*l - 21 + m = -3*z, 2*z + 5*l - 29 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 70288.3 to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 4*q - 99600, -24*h - 3*q + 66401 = -22*h. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 5*k - 135, m - 2*k = 15 + 27. What is the greatest common factor of m and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10009, -21065, -32121, -43177, -54233?\nAnswer: -65289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.4, 2\/15, -12, 2, 41?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.3 + 2.196. Let o = -0.02 + u. Let x = -1.996 + o. Round x to one dp.\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.06 + -0.016. Which is the biggest value? (a) -5\/2 (b) l (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-50)\/15)\/(8\/12)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - 4) + -31 + (-4 - -14).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**5 + 13 + 1156*y**2 - 1156*y**2 + (2*y**4 + y**2 - y**2)*(-4*y - 2*y + 4*y).\nAnswer: -5*y**5 + 13","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 98 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 - 1)*(-21 + 23*g + 21).\nAnswer: -138*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (7 - 3 - (-4 + 13)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 771.1.\nAnswer: 2313.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(10)\/sqrt(2)*-4 + 4.\nAnswer: -20*sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.0308 * -5\nAnswer: 0.154","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**3 + 4*x**2 - x - 4. Let o be y(3). Let m(u) = -5*u - 1 + 2*u**o + 0*u + 3*u. What is the units digit of m(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1 and 0.0060352934256.\nAnswer: -0.0939647065744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*t + 3*w, 5*t + w - 25 = -0*w. Solve -t = -0*i - 3*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of t**10\/7200 - t**9\/4032 - t**8\/3360 + t**5\/6 - 5*t**2. Let p(a) be the third derivative of f(a). Solve p(o) = 0.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 141\/700 and -17\/32.\nAnswer: 5600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of c**4\/24 + 19*c**3\/2 - 2*c**2. Let r(m) = m**2 + 3*m - 4. Let g be r(-4). Is a(g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -3*p**3 + 12*p. Let f be a(-10). Suppose m - 5 - 3 = -u, 3*m - 3*u - 42 = 0. What is the units digit of f\/132 - (-2)\/m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes after 10:01 PM?\nAnswer: 6:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 5*n**2 - 2074610*n = 0.\nAnswer: 0, 414922","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11060731\/1321 + -8373. Is -1 not equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -14*j**3 - 2*j**2 - 363 wrt j?\nAnswer: -42*j**2 - 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/(-12)*(-282)\/987?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -7*d**3 + 9*d**2 - 19*d + 11. Let o(x) = -20*x**3 - 20*x + 9*x**2 + 4 + 6 + 12*x**3. Let w(z) = -7*j(z) + 6*o(z). List the prime factors of w(9).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = -89*j - 1218 for j.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -3*a - 159, -46 - 70 = -4*x + a. What is the greatest common factor of 276 and x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -21 - (3 - 3 - 1). What is the common denominator of m\/(-12)*8\/(-10) and -77\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/10 + 32\/20. Let l = v + 2. Let q(i) = -i + 6. List the prime factors of q(l).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2544*k + 831862 = -2542*k. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 11:59 AM?\nAnswer: 4:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6628022?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.3, 9.7, -18\/7, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of 481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -3. Let n(j) = 2*j**3 - j. Let t(h) = h**2 + h + 1. Let z be t(0). What is the remainder when k is divided by n(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95470 is divided by 47731.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - 1 + 2)*(2*p**4 - 2*p**4 + p**4) - 4*p**4 + 0*p**4 + 0*p**4 to z*p + k*p**2 + x + o*p**3 + q*p**4 and give q.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -93, 3, 1, 74 in ascending order.\nAnswer: -93, 1, 3, 74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 2*b - 20815 = 1304, -5*c = -2*b - 22131. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 771723989 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9)\/21 + 60\/(-35)*-9. Suppose 0 = q*k - k - 56. Let u = -0.27 + 0.07. What is the closest to u in k, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1077? (a) -2856 (b) -6 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 - 6 = k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 43 - 43. Let p(g) = g**2 + g + 3. Let x be p(z). Put -4, x, -5 in decreasing order.\nAnswer: x, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of u**2 + 7. Let n(x) = -234*x. Determine n(q(l)).\nAnswer: -468*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/17, -3, 0.1, 56?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 684 + -683. Which is the third smallest value? (a) -59 (b) 1\/4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8)\/(4*sqrt(576) + sqrt(576)).\nAnswer: sqrt(2)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 749790*z**5 - 96049*z?\nAnswer: 14995800*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1000 - 102?\nAnswer: -1102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 + 7*j**2 + 9*j + 8. Let p be f(-6). Let y = p + 29. Is y a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -31383157 less than 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/7)\/(582\/14259).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a second in milliseconds?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2629\/9 + 289. Let w = 295739\/25 - 11826. Let n = w - -1069\/100. Find the common denominator of n and v.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4818049 and 524.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1099*y - 21 = 764 + 496 + 917 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.9450548 millimeters?\nAnswer: 0.09450548","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 2. Let w be 15*-7*1\/d. Suppose -2*k - 13 - w = 0. What is k rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 4*a + 48 = 0. Suppose -10 - 5 = -5*j. Suppose 6*y - 2*y + j*v - 33 = 0, 2*v = -3*y + a. Calculate the highest common factor of 12 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (61 + -2)\/(1\/3) is divided by (-1 + 31)*(-39)\/(-65)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/5 + 340\/1275. What is l in 0 + 0*l**2 + 0*l + i*l**4 - 2\/3*l**5 + 0*l**3 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -0.17, -0.3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 28095220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 4*g = -92, 24 = -f + 4*g - 4. Let i = f - -14. Is (10\/i)\/((-2)\/42) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 46794 and 66.\nAnswer: 46794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4 and -48.\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) -1\/13 (b) -1\/4 (c) -19 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 + 15. Let t = -54 + 272\/5. What is the nearest to 0 in t, -1, y?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 + 2)*(-1059 - 601 - 4*x - 999) as w*x + y and give y.\nAnswer: -2659","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 10 = 2*m, -5*v + 4*m - 35 = -m. Let i = -7 - v. Let a(n) = -n**2 - 13*n - 4. Let l be a(-13). Which is greater: i or l?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzddddpdpzdzz. What is prob of sequence pddd?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 32069.7ns in seconds?\nAnswer: 0.0000320697","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.2, -8\/59, 193587, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 12 = -3, 5*l - n + 3 = 0. Suppose l = q - 4*x - 50, 3*x = -5 - 7. List the prime factors of q.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13 less than 68012389?\nAnswer: 68012389.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -902 - -1480. Let r = l - 289. Suppose -114 = -4*c + 4*z + 166, -5*z = 4*c - r. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = -3*h - 9, 5*j + h = 15 + 1 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -20512435 (base 6) in base 16?\nAnswer: -92a47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 23651 to the power of 1\/3, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -307 + 0.05434\nAnswer: -306.94566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 4:57 AM?\nAnswer: 7:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**4\/15 + 28*b**3\/15 + 122*b**2\/15 + 56*b\/5 + 24\/5 = 0. What is b?\nAnswer: -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + g = -254, -5*g = -2*p - 0*g + 178. Let j be p\/10 - 3\/(-5). Calculate the highest common factor of 9 and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 85 and 395?\nAnswer: 6715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2406 and 4?\nAnswer: -9624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 1. Let q be (-252)\/105*730\/(-4). Let p = -440 + q. Sort p, 5, -5, n in decreasing order.\nAnswer: 5, n, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*b + 15*b**2 - 5*b - 20*b**2 wrt b?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2*q**3 - 45*q**2 + 76*q + 84. What is the thousands digit of f(33)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1.752? (a) 1.5 (b) -5 (c) -2 (d) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 479*d - 452*d + 34 - 9 - 25.\nAnswer: 27*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**4*y\/y**(-2\/7))\/(y**(2\/9)*y**(1\/3)\/y) assuming y is positive.\nAnswer: y**(361\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -5586, -7100, -8612, -10122?\n\"Answer: o**2 - 1517*o - 4070","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3281039 is divided by 39529.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 0*x**3 - x + 14*x**2 - 17*x**2 + x**3. Let v be d(4). Calculate the greatest common divisor of v and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 3*w. Let m = 14 + -5. Suppose 0 = -3*r - m. Sort w, r, -2 in descending order.\nAnswer: w, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5119576 divided by -1279894\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -100663 at most -100665?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**1\/i*i**(-4\/5)*i)\/((i**(-1)*i)\/i)**(-28) assuming i is positive.\nAnswer: i**(-134\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -bc489b + 2?\nAnswer: -bc4899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -7126000 to the nearest one hundred thousand.\nAnswer: -7100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 18\/15*10\/6. Let m(n) = 2*n - 5*n - n + o*n. Let p(v) = -4*v**2. Calculate p(m(r)).\nAnswer: -16*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.269 + 8.269. Which is the third biggest value? (a) -2\/3 (b) l (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -372515, -745027, -1117535, -1490039, -1862539, -2235035?\n\"Answer: 2*l**2 - 372518*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 - 2*j**2 + 6*j - 22. Let n be k(3). Suppose 0 = -n*q - 334 + 414. Solve -26 = -3*d - 8*i + 3*i, q = 4*i for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22042068 and 204?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 2870 = -5*d, -d - 4*m = 766 - 175. Let z = -549 + d. Calculate the remainder when 68 is divided by (-2)\/(-9) + z\/(-63).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 556318?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.06162 and -5.8959.\nAnswer: 0.363305358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 - 2*y - 30. Give v(9).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/10)\/(226\/(-4520)*-1032)?\nAnswer: -2\/129","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03534 take away -0.23?\nAnswer: 0.19466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 732345 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 104403529 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 439 + -312. Let w = 319 - p. Suppose -2*i + 0*o - 2*o = -w, 3*i + 4*o - 293 = 0. What are the prime factors of i?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -15*h + 15. Let q be (-54)\/513 - (-207)\/(-19). Let l be o(q). Suppose 2*u - 4*k - 148 = 232, -l = -u + 4*k. Is u a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ymeumeemeueyeeeeeue. What is prob of sequence ueue?\nAnswer: 55\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -6*q**2 + 3*q + 11. Let j(w) = -3*w**2 + w + 5. Let c(o) = 13*j(o) - 6*s(o). Let b(n) = n**2 + 2*n. What is 5*b(r) + 2*c(r)?\nAnswer: -r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 5*c + 39. Let n be v(-4). What is the third derivative of -2*j + 20*j**2 - n*j - 72*j**3 + 23*j wrt j?\nAnswer: -432","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 2*x**3 - 6*x**2 - 4*x - 2. Let q(j) = -3*j**3 + 7*j**2 + 4*j + 2. Let k(l) = 3*q(l) + 4*w(l). Calculate k(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -636526 (base 7) to base 5\nAnswer: -12012433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n + n - n)*(2*n - 25 - 246 + 91).\nAnswer: 4*n**2 - 360*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 201*g + 652*g - 199*g = -209*g - 24164 for g.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11999090867 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in one quarter of a microgram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -12 in 4, 0.1, -71, 4\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 11*f - 1452 = -21*f. Solve 0 = -5*l - 4*w - 5, 31 = f*l - 42*l - 5*w for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**3 - 7*t**2 - 6*t + 2. Suppose -4*c = -12 - 4. Let u be c\/16*2*-12. Let h be z(u). Solve 3*b = b + h for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 354 = -3*d + 322. Put 4, d, 5, 0, -1 in decreasing order.\nAnswer: 5, 4, 0, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 60586?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-25 - 2*k - 39*k**3 - 25 + 48)*((1 + k - 1)*(-5 + 0 + 1) + 0*k + k - 8*k + k + 2*k - 2*k + (-6 + 3 + 2)*(-2*k - k + 4*k) - 4*k + 0*k + 3*k).\nAnswer: 468*k**4 + 24*k**2 + 24*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(5) + sqrt(40)\/sqrt(8)*1)**2 - (-3 + sqrt(10)\/sqrt(2))**2 - ((sqrt(100)\/sqrt(5) + sqrt(20))\/sqrt(4) + sqrt(720) + -1)).\nAnswer: -7 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 3633 = -24*l + 23*l, 0 = -2*l - 12*n + 7270. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of -5*x**4\/12 - 2*x. Let y(c) = c**2. Determine y(g(q)).\nAnswer: 25*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2\/7 (b) -144 (c) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 44064439 and 1881?\nAnswer: 4362379461","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = -0*s - 6. Suppose 4*z - 8 = -5*r - s, -26 = -5*z + 3*r. Solve 0*t - 20 = z*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 9:51 PM?\nAnswer: 5:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -44\/261 and 20\/7?\nAnswer: 1827","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1394037726.\nAnswer: 2, 3, 43, 5403247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 410237 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45965886 is divided by 2026?\nAnswer: 2024","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -6*g - 1. Let d(h) = -17*h - 3. Let i(m) = 4*d(m) - 11*n(m). Suppose -2*k = -4*t + 14, t + 0*k - 9 = -5*k. Calculate i(t).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5581587 and 264?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + (-14 - (-2 + 19 + -23))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*s**3 - 3639*s**2 - 1815*s + 1818 = 0.\nAnswer: -606, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(3\/104))\/(1009\/10090*20\/3).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 171217 - 342425\/2. Find o, given that -f - 11\/4*o - 1\/4*o**2 = 0.\nAnswer: -9, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3427901*y**4 - 270*y**5 + 1104*y**2 - 3427901*y**4 wrt y?\nAnswer: -16200*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*s + 18*s - s + (-2 + 2*s + 2)*(-4 + 4 - 1))*(0*s - 3*s + s) in the form k*s + x + t*s**2 and give t.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**2 + 5*t + 2. Let n be v(7). Let a = -13 - n. Is a greater than 2\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77589000 rounded to the nearest one million?\nAnswer: 78000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-2) + 6\/4)*6. Solve 4*p + 18 = -2*u, -3*p - m*u - 8 = 13 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/8? (a) 0.001 (b) -1 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 12, -0.4, 2, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 5*v - 109, 5*k - k - 26 = -2*v. Let n(w) = 2*w**3 + 65*w**2 - 98*w + 145. What is the remainder when v is divided by n(-34)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 + 4*f - 5. What is t(4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 PM and 3:44 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 - 10*k**2 + 8*k - 22. What is n(-11)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -820*z**3 + 2477*z**3 - 844*z**3 - 837*z**3.\nAnswer: -24*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1010*q*r**2*u**2 - 2640*q*r**2 - 5*q*r*u - 365*r**2*u**2 + 6 wrt u.\nAnswer: 2020*q*r**2 - 730*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -3770.173.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32 is divided by 18?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/6)\/(((-3)\/(-3))\/(-2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 15*d**4*p + 2*d**4 + 5*d**3*p - 34683*d**3 - 112*d**2 + 17*d*p + 281*d - 3*p wrt d.\nAnswer: 360*d*p + 48*d + 30*p - 208098","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 74416613*0.5\nAnswer: 37208306.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20138*r**3 + 268*r**2 - 2*r + 2 wrt r.\nAnswer: 120828","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/y**(-2\/3))**(-5\/2) assuming y is positive.\nAnswer: y**(-20\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 568 + 1475 = 9*y. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 + 19*h**2 + 14*h + 27. Is q(-18) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((144\/128)\/((-3)\/4))\/(1\/6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**13\/(b**(-1\/24)*b))**(-3\/17) assuming b is positive.\nAnswer: b**(-17\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(320) + -1*sqrt(320) + sqrt(320))*4)\/((3*sqrt(120))\/sqrt(12) + sqrt(10)).\nAnswer: 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c682 + 10?\nAnswer: -c672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 2*s**2 - 28. Determine j(5).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 2854614538 to the nearest one million.\nAnswer: 2855000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 5:30 PM?\nAnswer: 5:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20271, 20286, 20311, 20346, 20391?\nAnswer: 20446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 + 8)*(2*n - 4*n + n)*(1 - 2*n + 4*n + 6*n) in the form b*n**2 + w*n + d and give b.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**3 + 11*o**2 - 12*o + 6. What is r(-12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-49)\/28)\/(25\/20)*25?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 248, 0.17, -5, 4, -1, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 5*c - 2*c - 33 = 0, -5*o - 4*o + 12*c - 7*c = -0*c - 57 for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 + 10*m**2 + 807*m - 14. What is the tens digit of o(30)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - c + 20 = 0. What is the common denominator of 85\/(-27)*(-6)\/c and -67\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jz when two letters picked without replacement from zkzkzjmzjmjzk.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 q, and 1 t when three letters picked without replacement from gtqsq.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.3 - 0.5. Let u be (-6)\/(-6) + 0\/(-2). Is z <= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*v + 14*v + 8*v**2)*(-3*v**2 + 0*v**2 + 7*v**2).\nAnswer: 32*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -20*i - 115. Give h(-7).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.608 + 0.338. What is n rounded to one decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -759*g**3 + 691*g**2 + 26408808*g?\nAnswer: -4554*g + 1382","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 102026 and 13946?\nAnswer: 734","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 253 - 241. Calculate the highest common factor of 96 and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3f (base 16) to base 10\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -676*3082\nAnswer: -2083432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -9*n + 6. Let x(c) = 9*c - 7. Calculate 6*t(j) + 5*x(j).\nAnswer: -9*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6467624 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u. Let t(o) = 64*o**2 - 2*o - 3. Give t(c(k)).\nAnswer: 256*k**2 + 4*k - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/15*15\/(-33)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 504457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 177 + -75. Suppose -2*t + 4 = q, 0 = -3*t - 0*q + 3*q + 6. Suppose -t*n + 0*n + 70 = 0. Calculate the remainder when w is divided by n.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z and 1 a when three letters picked without replacement from zaazzzazazza?\nAnswer: 21\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1079266.\nAnswer: 2, 539633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -1\/5, -1972 in descending order.\nAnswer: 1\/2, -1\/5, -1972","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r - 2*r + 5*r)*(-r + 4*r - r) + (2*r - 7*r - 6*r)*(-4*r - 3*r + 6*r).\nAnswer: 15*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence soo when three letters picked without replacement from {a: 1, s: 1, w: 2, o: 4}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of -c**4\/4 + c**3\/3 - 1. Let b be d(1). Is 7 - (b + -2*1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -62 - (-77 - (-34 - -9))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -198\/11863 or 1?\nAnswer: -198\/11863","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 938257049?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 185162, 370286, 555372, 740408, 925382?\nAnswer: 1110282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 3)*(-12*d + 3*d - 7*d)*(-3 + 1 + 4).\nAnswer: -64*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - r + 52 = 4*r, r + 28 = 4*s. Suppose m + 3*m = s. Let h = -20 - -27. What is the smallest common multiple of m and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11)\/(-2) - 2 - (-602222)\/16964\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2401 + 1510. Calculate the common denominator of -7\/20 and x\/(-234) + -1 + -1.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 970?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6206.\nAnswer: 2, 29, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 11) in base 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.015572 to 3 decimal places.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -4*n + 2289 + 3211, -4119 = -3*n - 3*d. What is the hundreds digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -6*u - u + 4*u. Let n(m) = -m**2 - 4*m + 25. Let j be n(-6). Let k(z) = 0*z**2 + j - 2 - 2*z**2 - 11. Give g(k(l)).\nAnswer: 6*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:23 PM and 6:40 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 502*v - 8870 + 2397 = 41*v + 14733 for v.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 0 + 8 = 0, 2*s - 10 = -2*g. Suppose 2*m + s*x - 444 = 0, 4*x = 3*m - 680 - 3. Is m a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -3*l + 149, -5*l + 224 = -4*d - 75. Let f = -9 - d. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -277547174.3 to the nearest one million.\nAnswer: -278000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*j - j**3 - 1135 + 581 + 553 - 342*j**2 as x + o*j**2 + r*j**3 + s*j and give o.\nAnswer: -342","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -35 + 33. Is u bigger than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 15) to base 3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*w**3 - 3*w**2 + 30*w - 24.\nAnswer: -3*(w - 2)*(w - 1)*(w + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -73, 5, -1013964?\nAnswer: -73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 4*v = 1841, -4*v - 24 = -8*v. Calculate the remainder when u is divided by 14.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3682 and -2.194?\nAnswer: -8078.308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -60 + 54. Let y(x) = -21*x + 4. What is the remainder when y(f) is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 19, -9.\nAnswer: -9, 9, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7 and (-6)\/(-5)*45\/9?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2\/5)\/(1\/10). Suppose -b*d = -d - f + 8, -3*f - 12 = 0. What is the units digit of (d\/(-2))\/(4\/8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of -i**7\/2520 + i**5\/60 - i**2. Let u(w) be the third derivative of f(w). Let j(p) = -p - 3*p + 2*p. Calculate j(u(y)).\nAnswer: 4*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -9 + (-46 - (-39 - 26)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -63, 6, 0 in descending order.\nAnswer: 6, 0, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 91 - -174. Suppose 0 = -2*f + 117 + y. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(28) - (sqrt(56)\/sqrt(2) + sqrt(28)))\/sqrt(4) + -4 - (((sqrt(84) - sqrt(21))*4 - sqrt(21)) + sqrt(21))\/sqrt(3)*-2.\nAnswer: -5 + 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -68 - 18*s + 8*s - 68 - 26*s wrt s.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 32836299, 32836322, 32836345, 32836368, 32836391, 32836414?\nAnswer: 32836437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 663\/(-85)*4725\/(-455).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 5*u**3 - 34*u**2 + 71*u - 42 = 0.\nAnswer: 1, 14\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lpppppllpllllpplpl. What is prob of picking 1 p and 2 l?\nAnswer: 27\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/5*29\/(-174)*5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 + -25. Let w = b + 15.9999946. What is w rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*((-2)\/(-6))\/((-12)\/(-36)). Let t(a) = -7*a + 1. Let z(f) = -8*f + 2. Let n(v) = 6*t(v) - 5*z(v). Let p be n(0). Put p, i, 0, -33 in descending order.\nAnswer: i, 0, p, -33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35584?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a minute in seconds?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -773148 divided by 10173\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 144\/269 - 2459\/1076. Let n = -1189\/3 - -39235\/99. Which is the biggest value? (a) 5 (b) n (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2.7 + 2.3. Which is the closest to 2? (a) -0.1 (b) q (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 449.781mm to meters.\nAnswer: 0.449781","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-10 + 24 - 7)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 PM and 7:44 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -946258*z**3 - 101406*z + 2 wrt z.\nAnswer: -5677548*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 139466010?\nAnswer: 2, 3, 5, 41, 71, 1597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -22? (a) 6 (b) 0.4 (c) -0.4 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + -1 + 18\/3. Let a = -186 + 226. Suppose 0 = r*x - 4*x - a. Is 19 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence na when two letters picked without replacement from {v: 2, n: 1, h: 8, a: 7}?\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(180)\/(sqrt(12) + 2*sqrt(48)))\/(sqrt(320)*2 + sqrt(40)\/sqrt(128)).\nAnswer: 4*sqrt(3)\/65","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = 2*d - 20, -4*d - 12 = -8*d - r for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -11215.611 to the nearest one hundred.\nAnswer: -11200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 5 + 2*v - 4*v.\nAnswer: -2*v + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 347 divide 4351595?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 489206?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 - -20. Suppose m = -2*n - 4 - 1, -l*m = -4*n - 17. Let w(i) = 3*i**2 + 3*i + 2. What are the prime factors of w(n)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 - 11*a + 1. Calculate the remainder when 9775\/23 - (-1 + 0 + -1*6) is divided by u(-6).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 334368 and 3159.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(275) - -2*sqrt(275)) + 1.\nAnswer: -2 + 15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48 and 288?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 758807 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 25 = -3*z, 19 = -2*z + 3*z + 4*i. Let g(t) = -t**2 + 9*t + 12. Let s be g(9). Let f = s - -9. What is the remainder when f is divided by z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 3 + (-12 - -11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 469640 is divided by 245?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2299 + -2304. Sort 1\/3, q, -4.3.\nAnswer: q, -4.3, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in -20*p**5 + 43395*p**4 + 21150510*p**3 + 47433955*p**2 + 31590060*p + 5263200 = 0?\nAnswer: -408, -1, -1\/4, 2580","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, h: 11}. Give prob of picking 1 p and 3 h.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*x + 4*x + 2*x + (-7 + 3 + 2)*(-4 - x + 4))*(1 - 1 + x) - x**2 + 56 - 56 + x)*(x**3 - 6*x**3 + 3*x**3).\nAnswer: -18*x**5 - 2*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -185 - -287. Let g = a + -98. Suppose 0 = -2*q + g*q - 4*i - 58, 4*q - 86 = -2*i. Does 6 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 3:37 AM?\nAnswer: 12:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -3, -14 in increasing order.\nAnswer: -15, -14, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 264 is divided by 203?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5694*n**3*t**3 + 6*n**2*t**3 - n*t**3 - 4*n*t**2 + 34*t wrt n.\nAnswer: -34164*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 43145 (base 6) to base 14\nAnswer: 2213","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 128.3 - 128. Which is the third biggest value? (a) n (b) -0.1 (c) 0.14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -4*q - 10. Let d be 3\/(-9)*(-3 + 12)*1. Let b be c(d). Is (6\/(-9) + (-451)\/(-6))*b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p**4 + 5*p**4 + 0*p**4 - 2*p - 3*p**4 - p**4 + 6*p**4 + (p**3 + p - p)*(-195*p + 224*p - 175*p).\nAnswer: -141*p**4 - 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1\/22, 0.2, -21?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*x - 6*x - 7*x - 5*x.\nAnswer: -8*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-48)\/(-15) - (-8)\/10. Suppose -155 - 37 = -r*p. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 89 = -2*n - 2*g, 25 = -5*g. Suppose 3*s - 175 = 4*y, 0 = 15*y - 20*y - s - 195. Is n greater than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1674992 by 1.\nAnswer: 1674992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -71028*l. Let f(k) = 8*k**2. Determine f(s(d)).\nAnswer: 40359814272*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**2 - 14*x - 15. What is g(6)?\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 5*y + 45, 2*y = -5*j - 3*y + 315. Is 20 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 3*l**2 + 17*l - 15. Let z be k(-6). Suppose -3*x = 2*x - 1815. What is the units digit of z\/(-6) - x\/(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.77*-1\nAnswer: 0.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65845941?\nAnswer: 3, 7, 23, 136327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*v + 4 + 6*v**2 - 4 + 71*v = 0. What is v?\nAnswer: 0, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r + 114 = 2083. Suppose 10 = 2*t, -3*a + 5*t = -417 - r. Determine s so that -12 + 15*s + 102*s**2 + 102*s**2 - a*s**2 = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rpmmkrkpmkprprkp. What is prob of picking 2 m?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - (-1 + -5)) + -7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 4*r + 4. Let a be z(-2). Let g be 1 + a - (0 - 1). Sort 7, g, -1 in increasing order.\nAnswer: g, -1, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 4*i - 1. Let d be f(1). Suppose 7*z + 5*m = 3*z + 37, z + d*m = 11. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 52 + -46. Suppose 0 = -z*g + 3*g + 18. Suppose 2*h + 8 = 2*n - 30, -4*h - 4 = 0. What is the greatest common divisor of n and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-9 + -6)*10. Let j(u) be the first derivative of 1\/2*u**y + 2 + 1\/3*u**3 + 0*u. Suppose j(g) = 0. What is g?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 36439 + 4037?\nAnswer: 3a475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - 35 + 698. Suppose 3*h - l = 3*t, -6*h - 4*t = -2*h - 892. Let n = -105 + h. Does 39 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((-2*sqrt(2299) - sqrt(2299)) + 2 + 1 + ((0 + sqrt(2299))*-6)**2 + (2*((sqrt(2299) - (1 + sqrt(2299)) - sqrt(2299)) + sqrt(2299)))**2)*-2)*2.\nAnswer: -331080 + 132*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 2 (c) -1\/4 (d) 48661 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 5*c - 2. Let q(k) = -k**2 + 4*k - 1. Let m(a) = -3*q(a) + 2*v(a). Let t be m(-1). What is the greatest common factor of 6 and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/157, -0.3, -2\/7, -11.16, -1, 0.86, 4\/5?\nAnswer: 0.86","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 60731073?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 9\/4 + (-110)\/88\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 256134.8 grams in milligrams?\nAnswer: 256134800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -5 - (-1 + -2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of q**5\/20 - q**4\/12 + 114*q. Let x(d) = 4*d**3 - 3*d**2 - 8*d. Give 3*s(b) - x(b).\nAnswer: -b**3 + 8*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (4*sqrt(153)\/sqrt(3)*1)\/(-6*-1*sqrt(432) - sqrt(432)).\nAnswer: sqrt(17)\/15 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 14\/1693?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -15*n**2 - 15*n + 80. Suppose 0 = -3*l + 6 + 3. Let i(k) = 2*k**2 + 2*k - 10. Let w(t) = l*b(t) + 25*i(t). Determine j, given that w(j) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j**2\/7 - 198992*j\/7 + 36479104\/7 = 0 for j.\nAnswer: 184, 49564","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + 4)*3 + 3.\nAnswer: 15 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1653*g**5 - 6213*g wrt g?\nAnswer: 33060*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide ((-8)\/(-20) + 0)\/((-5)\/(-1200))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y - 3*y + 3*y)*(y + 2 - 2)*(-2 - 3 + 6) + 85 + 14*y**2 - 85.\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.9 * -351.\nAnswer: -666.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 + 4*h**2 + 4*h + 2. Suppose -6*c + 162 = -60*c. Give f(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/1057 and -7\/1359.\nAnswer: 9513","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.06? (a) -2 (b) 2 (c) -2\/11 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6\/11, -2.6, 1, -0.3, 261, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -24*9\/((-108)\/8). Let q be ((-54)\/(-12))\/(3\/p). Calculate the least common multiple of 16 and (9 - 13) + (q - 0).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 5)*(-4*s + 6*s - s + (5 + 5*s - 5)*(-3 - 1 + 6) - 3*s + 0*s + 4*s).\nAnswer: -24*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 69*u**2 - 7*u + 10. What is the thousands digit of m(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 - -54726?\nAnswer: 54726.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 69308 to the power of 1\/2, to the nearest integer?\nAnswer: 263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -3*m + 2*w + 43, 4*m = 2*w + 30. Suppose m*c - 4*c + 2693 = 5*i, 0 = -4*i + 2*c + 2158. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -62*o - 31. Is m(-3) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -540, -572, -674, -882, -1232, -1760?\n\"Answer: -6*c**3 + c**2 + 7*c - 542","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -48 + 53. Suppose 4*r + 0*r - 20 = 2*x, h*r = 4*x + 37. What is the lowest common multiple of (-10)\/((20\/x)\/5) and 6?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3180 is divided by 51?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 44\/20 - 3\/(3180\/(-1007)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = -3*t - 2*o, 0 = -2*o + 3*o + 1. Let x = 1 + -4. Let r = x - t. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 261761568?\nAnswer: 2, 3, 2726683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l**2 + 4*l**2 + 24*l**2)*(3*l - 5*l + 0*l + (4 - 1 - 5)*(-4*l + 2*l - 2*l)).\nAnswer: 144*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -1 - 3*c**2 - 4*c**2 + 1242*c - 1243*c. Calculate w(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 4 + 0)*(122*g - 2299 + 2299) + 0*g + 2*g + 0*g.\nAnswer: -242*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17 - -2) + -13 + (-2 - -5).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 - j**2 - 24. Let i(m) = -m**2 - 35*m - 66. Let y be i(-33). Give v(y).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(-1\/4)\/b)**(-46)*b\/(b\/(b**(1\/18)\/b*b))*b**(-28)*b assuming b is positive.\nAnswer: b**(-139\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2106 or 2107?\nAnswer: 2107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1906008 a multiple of 509?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10191*s + 1147 + 1507 + 2*s**3 + 151*s**2 + 10202*s wrt s?\nAnswer: 6*s**2 + 302*s + 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/(-5))\/(2\/(-10)). Suppose -5*v + 19 = 4. Sort 4, r, v in descending order.\nAnswer: 4, v, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 0*j + 246. Let z(r) = -j*r**2 + 92*r**2 - 10*r + 4*r - 3. Is 16 a factor of z(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 8 + -2 + 2 + -8?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*((-847)\/(-605) - ((-49)\/(-35) - 2\/(-2)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.21? (a) 0.5 (b) -45 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22\/(-385)*7*2.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add 54 and 127.967117.\nAnswer: 181.967117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 34528435538 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 37\/446 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, -40134, 5 in descending order.\nAnswer: 5, 4, -4, -40134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3873*u**2 + 205238 wrt u?\nAnswer: 7746*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 67062?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((38 - 19 + 221)*(-1 + 4 - 5) + 3 + 2 - 2)*(0*p + 0*p + 2*p) to i*p + l and give i.\nAnswer: -954","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*((-4)\/(-6))\/(72\/(-54)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72*q - 54*q = 72. Let s(g) be the second derivative of -9*g**2 + 1\/45*g**6 + 7*g + 4\/15*g**5 + 0*g**3 + g**q + 0. Factor s(c).\nAnswer: 2*(c - 1)*(c + 3)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 45479 from -227.\nAnswer: -45706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 107 + 452 = 0. Suppose -z*w = -63*w - 738. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -182 or -54606\/301?\nAnswer: -54606\/301","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of -g**2\/2 - 1. Let a(n) = -n + 0 + 0. Determine a(t(v)).\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from idtttcdtyccctttttt. What is prob of sequence yci?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1034?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 5*z**2 - z + 4. What is j(-4)?\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/5, -5, -2\/3, -3, -3\/4, -47?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**3 + 17*v**2 - 57*v + 71. Determine h(-20).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -830*n + 8540 = -2538*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 237616 is divided by 387?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/b**29)\/((b\/(((b*b*b**4*b)\/b)\/b))\/b))\/((b*b\/(b*b**(-1\/13)*b*b*b*b))\/b**(-20)) assuming b is positive.\nAnswer: b**(-521\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46313061.\nAnswer: 3, 15437687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -2064144330 to the nearest 100000.\nAnswer: -2064100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4580425 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -3*a**2 + a - 9. Calculate x(5).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1187911 * -0.214\nAnswer: 254212.954","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the second derivative of k**5\/20 + k**4\/6 - 5*k**3\/6 - 3*k**2 + 26*k. Factor t(c).\nAnswer: (c - 2)*(c + 1)*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 460784?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 665414856?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4 + -2. Suppose -2*j + 3*j = -4*h + 15, -h + 3*j = -7. Suppose -g*n + 2*p = -p - 28, -h*p = -n + 24. What is the remainder when 15 is divided by n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9619 + 115429\/12. Put p, -6, -3, 2\/17, -10 in ascending order.\nAnswer: -10, -6, -3, p, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 0 + (-22 - 33 + 46)*(4 - 2 - 3 + (1 + 1 - 1)*(1 - 5 + 2)))*(24*u + 67*u + 5*u).\nAnswer: 2784*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = -a + 5*p, -a + 6 = 333*p - 337*p + 26 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 83 divide 21331?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 4)*(2*s - 2 + 2) + (2*s + 3*s - 2*s)*(-1 + 2 - 4).\nAnswer: -7*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2171 - 1593. Calculate the highest common divisor of q and 136.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*z**2 - 5*z**2 + 1 + 2*z + 4*z**2 - 3 + 152*z as w*z + o*z**2 + v and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let c = 158 - -141. Calculate the highest common divisor of c and 208.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s - 1. Let r(h) = -9*h**2 - 24*h + 18. Let w(i) = 18*l(i) + r(i). Find the second derivative of w(p) wrt p.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7 + 10. Suppose -32 = h*r + r. What is the units digit of 84\/r*(-4)\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -4 - 12*a + 0 + 1 - a**2. Suppose t + 51 = -5*x, -4*t - 5 = t. List the prime factors of p(x).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1736 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 2*r = -18. Is r\/(-3)*(1 + 44) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 473894392?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1, 0.19, 5, 36372, 0.15?\nAnswer: 36372","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54972 = 440*i - 754*i - 614*i - 6716 for i.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15? (a) -0.2 (b) 1\/4 (c) -3 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -3*m**3 - 10*m**2 + 2*m + 5. Let i be h(-3). Let u(d) be the first derivative of -d**3\/3 - 7*d**2 + 2*d + 1. What is the units digit of u(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/9*5*-3. Let a(l) = l**3 - 11*l**2 + 11*l + 2. Let c be a(r). Suppose -4*o - 2*k = c, -4*o + o + 4*k = 9. Is o greater than or equal to -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, n: 2, d: 8, e: 5, g: 1}. Give prob of picking 1 n and 1 l.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 35 = 2*x, 160*x - 488*x + 7 = -162*x - 161*x + s for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 0*r. Let u be -5 - -3 - (-2 + r). Let q be (-1 - u)*(3 - 2). Let k(y) = 12*y. Give k(q).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -1\/4 (b) -8 (c) 0.562 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1855448185.\nAnswer: 5, 371089637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3495*n**2 + n**3 + n**3 + 10495*n**2 - 3499*n**2 - 3501*n**2.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 5 + 7 = 0. Let p(c) = -c**3 + 3*c**2 + 6*c - 3. Calculate the remainder when (2\/(-6))\/(a\/(-84)) is divided by p(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5577767 is divided by 5577729.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -4*u - 2 + 4*u**2 + 2*u**2 - 3*u**2 - 2*u**2. Let g be q(5). Suppose -3 = -2*s + r, r = -5*s + 5*r + g. Solve -s*y = -3, 0*y - 5 = 5*t - 5*y for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m**3 - 39*m**2 + 158*m + 4139. Let q be z(-41). Calculate the greatest common divisor of q and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13 (base 4) to base 5.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n - 13. Let z be s(8). Let t be (2 + z)*3\/15. What are the prime factors of (1\/(-3))\/((-3)\/369)*t?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 623\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 151 + 656 = 0. Suppose -3*a = -229 - p. What is a rounded to the nearest 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 11005, 11003, 11001?\n\"Answer: -2*p + 11007","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + -2021113212200?\nAnswer: -2021113212211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 3*j + 180262, 4*k - 225091 = -4*j - 44871. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 3, 0.5 in ascending order.\nAnswer: -1, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -37*g - 108. What is the remainder when 118 is divided by s(-4)?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20692 + 24756. Is g a multiple of 104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -69*d**4 + 66*d**4 + 2*d**2 - 2*d**2 + 41*d - 3*d**3 in the form b*d + j*d**4 + n + t*d**3 + p*d**2 and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -3*d + 151. Let o(b) = -4*b + 153. Calculate 5*f(t) - 4*o(t).\nAnswer: t + 143","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8970144 = 23*d - 43393301. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3350842 is divided by 34?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 1)*(-4*s**2 - 1 + 1).\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -40*n + 39*n for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w**4 + 85*w**3 + 130*w**2 - 1360*w - 3360 = 0.\nAnswer: -14, -4, -3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -7 + -12 + (8 - 3)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 j when two letters picked without replacement from {q: 1, n: 4, m: 6, k: 1, j: 4, h: 3}?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of -2*d - 1\/2*d**2 + 1 + 5\/3*d**3. Let u be v(-1). Solve -17 + 5 = -u*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77472816 is divided by 201.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 12:54 AM?\nAnswer: 11:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 1, -2*x - 3*s + 12 = -s. Suppose -x*v + 8 = 3. Let p(w) be the first derivative of 5*w**2\/2 + w + 4. Calculate p(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36, -59, -64, -45, 4, 89, 216?\nAnswer: 391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4197017, 8394034, 12591051, 16788068?\nAnswer: 20985085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -1*sqrt(19))*6.\nAnswer: -6*sqrt(19) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/7 (b) -0.14 (c) 6 (d) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 63319 divided by 3.\nAnswer: 63319\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13281?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 68, 126, 184?\n\"Answer: 58*q + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -2*c + 2, 144*j - 139*j - 22 = -c. Let y(q) be the first derivative of -18\/7*q + 10\/21*q**j - 3\/7*q**2 - 27 - 1\/14*q**4. Factor y(k).\nAnswer: -2*(k - 3)**2*(k + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -7. Suppose -7 = 5*t + b - 40, -o*t + 2*b + 18 = 0. What is the units digit of -1 - 4\/((-8)\/t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -4*z - 58. Is o(-20) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34201 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-7 - (3 - 3)) - (367 - 385) - -54\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 2*j + 3*j - 4*j + 23 = 3*p, -33 = -3*j - 5*p for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a**2\/4 + 575*a\/4 - 1430 = 0.\nAnswer: 11, 104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -152aa90 (base 12) in base 11?\nAnswer: -2470524","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3266, -1\/6, -4 in ascending order.\nAnswer: -4, -1\/6, -1\/3266","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 11*o**2 + 19*o - 16. Let p(v) = 6*v**2 + 10*v - 8. Let b = -178 + 185. Let j(y) = b*p(y) - 4*u(y). Factor j(n).\nAnswer: -2*(n - 1)*(n + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3075 - -3080. Solve 2*o - 6*o + 5*p = 5, o + 5*p - g = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 285*h**2 - 49*h - 106. Let m be p(-29). Round m to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 731*f**2 + 736*f**2 - 12 - 1470*f**2.\nAnswer: -3*f**2 - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 1 = 4*v + 151, 5*q = v + 210. Suppose -15*a = -24 - 111. Calculate the remainder when q is divided by a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.012480423 rounded to 3 decimal places?\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(224)*-1)\/(sqrt(7) + (sqrt(7) - 6*sqrt(28))).\nAnswer: 2*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, x: 1, v: 1, s: 2, w: 4}. What is prob of sequence sxw?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1783 = -127*v + 767 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12400 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_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: Suppose -44 - 176 = -22*u. Solve -c = -5*m + 15, 4*c + u = 2*m - 14 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*a - 3, 0 = 4*o + 4*a - 28. Let g = o + 17. Let z = 4 + 1. What is the remainder when g is divided by z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 15, 6.9, -2\/15?\nAnswer: 6.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -182 or -225?\nAnswer: -225","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*b - 7*b + 8*b)*(16*b**2 - b**2 - 2*b**2) in the form m + o*b**2 + w*b**3 + i*b and give w.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-13 - -4)*1 + 2032 is divided by 46?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 PM and 9:33 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27*(-36)\/(-648)*16\/6.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t = 6*t + 3*n + 219, 5*n + 215 = 5*t. Suppose -46 = 3*o - 5*o. Calculate the remainder when t is divided by o.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 6*k = 28. Let c = k + 3. Solve z + z + c = -r, -4*r = -2*z + 10 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.5 less than -852803368?\nAnswer: -852803365.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 78.43748ns?\nAnswer: 0.07843748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:35 PM and 10:18 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1373191?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.122 and -0.1.\nAnswer: 0.0122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 4:10 PM?\nAnswer: 5:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2759 and 61237607?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 60 - 53. What are the prime factors of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-14))\/(19\/(-2470)*25)?\nAnswer: 26\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1011 - 2639*s + 2835*s**3 + 5253*s - 2614*s wrt s?\nAnswer: 8505*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 3*j + 28. Let a = j + 9. Factor 1\/4*x**a + 0 - 1\/4*x + 1\/4*x**3 - 1\/4*x**4.\nAnswer: -x*(x - 1)**2*(x + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5025548 - 1069112 = 97*y. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d**3 + 17*d**2 - 6*d - 12. Let h = 68 - 60. Let k be j(h). Suppose -2*p - k*n + 178 = 0, 3*p - 284 - 3 = -n. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the first derivative of 30*m**4 + 51*m**2\/2 - m - 133. Find the second derivative of b(i) wrt i.\nAnswer: 720*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -d (base 14) to base 6\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6964, 14110, 21310, 28570, 35896, 43294, 50770?\nAnswer: 58330","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 17*c**3 + 17*c**2 - 11*c + 13. Let y(m) = 8*m**3 + 8*m**2 - 5*m + 6. Let a be (-6)\/(3 - 5)*-2. Let i be 39\/2*(-6)\/(-9). Calculate a*l(v) + i*y(v).\nAnswer: 2*v**3 + 2*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do -72 and -51 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 883275 to the nearest integer?\nAnswer: 940","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -26 + (40 - 20) - -42.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -1 - (3 + -3)) + 0\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.1, -3, 2\/9, 186, -2 in descending order.\nAnswer: 186, 2\/9, -1.1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 - 9 + 66 = 30*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 33*f + 15 = -30*f - 9, -48 = -4*k + 12*f for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of -i**4\/6 - 5*i**3\/6 + 3*i**2\/2 - i. Let z(o) = -5*o**2 - 14*o + 8. Let h = 10 + 1. Let p = h - 8. Determine p*z(f) - 8*c(f).\nAnswer: f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 7*z + 245. Let s(n) = 13*n + 449. Let p(d) = 11*a(d) - 6*s(d). Let w(u) = 33*u - 66. Determine 66*p(i) + w(i).\nAnswer: -33*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of 29*g**6\/120 - g**5\/10 - 41*g**4\/8 - g**3\/6 + 3*g**2 - 80*g. Find the second derivative of b(q) wrt q.\nAnswer: 174*q - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 3:20 PM?\nAnswer: 6:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 - 6*i**2 + 7*i - 2. Let b be c(-7). Let s be 6\/(-4)*(-4 - b). Let z = 8 - 6. What is the smallest value in s, -3\/2, z?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 652981931 to the power of 1\/3, to the nearest integer?\nAnswer: 868","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 3*s - 29. Let f be o(7). Let h(t) = -5*t - 32. Let i be h(f). Suppose w - i = 76. List the prime factors of w.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 + 5. Solve 0 = w*y - 7*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.7 and 2465.\nAnswer: 4190.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*m - 109903 - 13058 = 0. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51737\/(-68075)*6\/(-38).\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 28744597?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -5*f - 8. Let r be c(8). Let p be (-6)\/((-2)\/(r\/9)). Let a = -8 - p. Calculate the highest common divisor of a and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*-1 - 3\/(-1). Let o be (-1)\/(-6) - v - -2. Suppose -2*l + 3 = l. Which is bigger: l or o?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + 6. Suppose -2*l + 25 = a, 30 = u*a - l - 17. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**2 + 7956*m - 118890 = 0. Calculate m.\nAnswer: 15, 3963","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 2768.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.4, 1\/15, -0.06, -4?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 66986793?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -91*d + 2*d**2 + 91*d.\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25618364 by 13.\nAnswer: -25618364\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -240 times -90754\nAnswer: 21780960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by -1659388.\nAnswer: 7\/1659388","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/12 - (-1)\/(-4). Suppose 0 = -8*p - 17*p + 9575. Let o = -381 + p. Solve l = o*t + 2*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.082127976 - -6.917869424. Let i = 3.9 - -3.1. Let c = i - q. Round c to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 3*q**2 - 5*q - 4. Let k(b) = 6*b**2 - 9*b - 7. Let m be (324\/45)\/18*-10*1. Determine m*k(l) + 7*g(l).\nAnswer: -3*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 130*s - 143*s = -1001. What is the highest common divisor of 693 and s?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p. Let u(v) = 4*v + 21. What is -3*h(o) - u(o)?\nAnswer: -o - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2*r + 0*r + 3*r)*(0 - 2 + 4) - 5*r + 7*r + 4*r)*(-3 - 1 - 2) to a*r + y and give a.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*p + 103659 + 71217 = 93*p. Is 2237 less than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9*(-9)\/(-54)*-2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 551, 540, 525, 506, 483, 456?\n\"Answer: -2*u**2 - 5*u + 558","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - (-45 - (28 - 44))) + -98.\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 9:03 PM?\nAnswer: 8:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/6 + 69\/90. Let d = 4.8 + -1.8. Let n(t) = t**3 + t**2. Let k be n(-1). Which is the closest to 1? (a) o (b) d (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34173348 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*v - 24*v - 9218 = 4975. Is 83 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 32\/5 of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26925, -26928, -26941, -26970, -27021, -27100?\nAnswer: -27213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, q: 3, i: 3}. What is prob of picking 3 q?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 - 7*u**2 - 20*u + 17. List the prime factors of z(10).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-2) - 4\/(-8). Calculate the remainder when 32 is divided by (2 + (-11 - 2))\/o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 + 17*t**2 + 3*t + 35. Let g be p(17). Suppose 5*k + 461 = g. What is the common denominator of -1\/10 and 4\/9*(-360)\/k?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80*q**2 - 5*q**3 + 42*q**2 + 38*q**2 + q.\nAnswer: -5*q**3 + q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.1028 times 682\nAnswer: -70.1096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5\/2 + -41\/18. Which is greater: g or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(325) + sqrt(13) - (sqrt(13) + (sqrt(13) + sqrt(65)\/sqrt(5))*-1).\nAnswer: 1 + 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143347 is divided by 3464?\nAnswer: 1323","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 24 in 1\/2, -138, -19, -1\/5, 6\/7, -0.03?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31\/4 - -359\/40. What is the common denominator of l and -46\/55?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 539 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 34*k**4 + 2*k**2 + k**2 - k**3 + 4 - 36*k**4 to the form n*k**3 + f*k + t*k**2 + x*k**4 + j and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mol when three letters picked without replacement from {m: 4, s: 1, o: 1, l: 3, r: 6}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of -1\/12*p**4 - 7*p + 1\/2*p**2 - 2 - 1\/6*p**3. Let d(j) = -5*j**2 - 6*j + 5. Calculate 2*d(x) - 11*o(x).\nAnswer: x**2 - x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20133233 (base 5) to base 4.\nAnswer: 213132131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1934, 0, -3, -4, 1, -11, 62 in increasing order.\nAnswer: -1934, -11, -4, -3, 0, 1, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*h + 46 + 26 = 0 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -42 - 13. Let z = -58 - o. Put 5, z, -4, -2\/13 in decreasing order.\nAnswer: 5, -2\/13, z, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 930 is divided by 36?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5849863763?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 69 = 5*x - 3*z, -4*z = 4*x + 88. Let c = -15 - x. Calculate the greatest common factor of 108 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k - 88 = 5*v, v + 34*k - 39*k + 86 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pha when three letters picked without replacement from {a: 1, s: 3, h: 4, p: 2}.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 - 6*c**2 + 6*c + 1. Suppose 5*a - 4*u - 28 = a, a = -u - 3. Let s be i(a). What are the prime factors of 73\/((s\/12)\/((-3)\/12))?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 19*f + 958. Let y be k(-50). Solve -4*b - 133*t = -130*t + y, -4*b = -2*t + 8 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x - x + 10 + 0*x**2 - x**2 + 6*x. Let n = 14 - 6. Let u be v(n). Solve -q - u*l + 7 = -l, q + 5 = 2*l for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-288)\/72*161\/(-414)\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22 + 18 - -11 - 16) + -2 + 1?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 5*v - 469, 4*s = 187*v - 183*v - 380. What is the remainder when v is divided by 54?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/81)\/(11\/132) - (-119)\/765. Let p be (6\/10)\/((-3)\/(-15)). Suppose 3*x = 6, -p*t = -2*t - 3*x + 7. Which is the nearest to n? (a) 2 (b) 4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39925797.72 rounded to the nearest 100000?\nAnswer: 39900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (-7052)\/(-7) - (-56)\/98 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 227*u**2 - 17*u + 271. Let t(z) = -76*z**2 + 6*z - 91. Let b(q) = 17*t(q) + 6*x(q). What is the first derivative of b(y) wrt y?\nAnswer: 140*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -147 + 147.16. Let b = t + -0.059. Round b to 2 decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tjaa when four letters picked without replacement from {t: 2, g: 2, v: 2, a: 3, j: 3, b: 4}.\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 66 = -70. Let c(s) = 4*s**3 - s**2 + 7*s**3 - 6*s**3 - 4*s - 3 - 4*s**3. Calculate c(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.1154 and 9928218.\nAnswer: 9928218.1154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.0546 in 1\/3, -0.079, -1\/3, -1\/6, 1?\nAnswer: -0.079","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -4*n - 3. Let h be d(1). Let x(l) = -l**2 - 8*l + 5. Let r be x(h). Suppose y - o - 10 - r = 0, -4*y + 118 = 2*o. Is 3 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of -y**5\/12 - 155*y**4\/8 + 1225*y**3\/3 + 5168*y**2. Determine s, given that w(s) = 0.\nAnswer: -98, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 306 times -0.5\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -154840?\nAnswer: -1\/30968","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3685864 decades to years.\nAnswer: 3.685864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*c + 0 + 0 + (0*c - c - c)*(0 - 1 + 0) - 2*c + 0*c + 5*c)*(-4 + 0 + 2)*(-3 - 5 + 0) in the form w + b*c and give b.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -13*o + 5948 - 5896 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 - 27*b**2 - 36*b - 132. Let f be z(-20). Let r = -1437 - f. What is the hundreds digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -12 (b) -2\/5 (c) 194530 (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -3*f + 4. Let n be v(-3). Let h = n - 17. Let u be 482\/4 + 2\/h. What is u rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 2:03 PM?\nAnswer: 11:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1\/2, 0.3, -1 in ascending order.\nAnswer: -1, -1\/2, 0.3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*c - 2*c - 52. What is the remainder when c is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.119993 tonnes to micrograms.\nAnswer: 1119993000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yygxgxyyyyy. What is prob of picking 3 y and 1 g?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1\/6, -998, 4\/9 in increasing order.\nAnswer: -998, -5, -1\/6, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -170518 take away 217549?\nAnswer: -388067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 11 + -1 + (-935 - -956).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -4*a. Let l(n) = -26*n. Calculate l(t(m)).\nAnswer: 104*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -232*o + 235*o. Suppose -4*i - 4*f - 4 - 12 = 0, 2*i = 5*f - 15. Sort -4, o, i in increasing order.\nAnswer: i, -4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 54005917?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Add together 7.73363 and 1438.\nAnswer: 1445.73363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 35 + -32. Let j be -1*6\/2*(-7)\/g. Suppose 18 = j*a - 45. Calculate the remainder when 43 is divided by a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -4*b**2 + 9*b - 41. Calculate l(6).\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23800, -47440, -70950, -94324, -117556?\nAnswer: -140640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2 + 102*a - 763.\nAnswer: (a - 7)*(a + 109)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -207*y + 1393 - 34 = -1539 for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 169 or 159?\nAnswer: 169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -k. Sort 1, k, 3.\nAnswer: k, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/40278 and 11\/8.\nAnswer: 161112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3272\/5 - -655. Let h(m) be the first derivative of -3*m**3 - w*m**5 + 5 + 0*m + 0*m**2 + 0*m**4. What is the third derivative of h(f) wrt f?\nAnswer: -72*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pptpttpp. Give prob of sequence tppt.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 493, 967, 1391, 1741, 1993, 2123, 2107, 1921?\n\"Answer: -4*z**3 - z**2 + 505*z - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 44*m**3 - 34*m**3 - 3 + 2 wrt m.\nAnswer: 30*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 - 0\/(-5 - -4). Solve -u + g*u - 3 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 6 + 0 = 3*h, 5*h - q = 2. Let b be (2530\/20)\/((5 + h)\/10). Is 251 bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 + 2*j**2 + j + 1. Let y be x(3). Let p = -3164 - -3156. Which is the smallest value? (a) y (b) 0.3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 36 and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1425865305?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2 + 1 + k**3 + 1116*k - 2 - 1115*k + k**2. Let s(u) be the first derivative of -u**4\/4 - u**3\/3 - u**2 + 5*u + 3. Determine -3*s(x) - 5*v(x).\nAnswer: -2*x**3 - 2*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 368 and 144.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 15*(-5)\/105*-1*6\/2\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -6*u - 53. Give v(-10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 3*q**2 - 7*q + 2. Let o be l(3). Is ((-3)\/(-12))\/(o\/630944) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -0.4 (c) 2\/7 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (50*p + 66*p + 20*p)*((2*p - p - 2*p)*(4 + 0 - 2) - 2 + 2 - p + 2*p - 2 + 2) - 2*p**2 - 7*p**2 + 6*p**2.\nAnswer: -139*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/41 or 7?\nAnswer: -3\/41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a millennium in months?\nAnswer: 66000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2*c + 0*c + 4*c**2 + c. Let w(v) = 11*v**2 + 5*v - 1. Let m(p) = p**2 + p. Let g(t) = 6*m(t) - w(t). Give -2*g(z) - 3*n(z).\nAnswer: -2*z**2 + z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92*c - 462 = 169*c for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -332*c + 300*c - 925*c.\nAnswer: -957*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -3*z - 19, -4*x + 5*z + 22 = 0. Let m = -41 + 51. What is the remainder when 57\/114*-1*m\/(-1) is divided by x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0.2, 0.37, -4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1078685 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (27 - 6 + 35)*(2*p + 2*p - 3*p) as n*p + g and give n.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + 67 + -46 + (-27 - -3).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/24)\/h**(2\/21))**50 assuming h is positive.\nAnswer: h**(-75\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -115*0.09.\nAnswer: -10.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3592 and 166?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 46162805 to the power of 1\/5, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = -n - 30, j + 2440*n = 2441*n + 5 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 - 6*w - 1. Suppose 0 = 2*h + 8 - 18, -5*h + 85 = -5*q. Let a be 32\/q*18\/8. Give i(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 4) to base 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:19 AM and 5:00 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57 - (-32 - (-18 + 35)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 4 = -4. Suppose o + 2*g + 4 = l, -o + 0*g - 16 = 5*g. Suppose -u + 13 = -5*y - o, y = u - 1. Which is greater: y or -6?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 27 = -a. Let j(p) = p**2 + 8*p - 6. Let v be j(a). Solve 4*n - n - v = 0 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 39? (a) -10\/11 (b) -1 (c) -0.05 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1364435?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 46256327 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.32 less than or equal to -7\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(720) + -2 + sqrt(720) + sqrt(720))*-5 + sqrt(720))**2 + 5*((sqrt(720) + 2)**2 + sqrt(720) - sqrt(720)) + sqrt(720) + 5*(-3*sqrt(720)*1*5)**2.\nAnswer: -3108*sqrt(5) + 954840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1716675?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3615874 days in hours?\nAnswer: 8.6780976","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -5934173\/3 greater than -1978058?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1470476*s**3 + 2*s - 179664 wrt s?\nAnswer: -4411428*s**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/(-99)*180\/5.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n**3\/5 - 204*n**2\/5 + 91833*n\/5 + 277254\/5 = 0. What is n?\nAnswer: -211, -3, 146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 147929 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*j - 12 = -57*j. Suppose -3*l = -q + 297, -q = -j*l - 282 - 15. Suppose 0 = 2*z + 47 - q. Calculate the remainder when z is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 777196.4kg in milligrams?\nAnswer: 777196400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2 + -0.1. Let u = 0.56 + 11.94. Let d = 13 - u. Which is the second biggest value? (a) d (b) -2\/3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/18 and 294\/340 + 4\/10.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/(-4 + 1))\/(1\/(-2)). What is the third derivative of -s**2 - 12*s**4 - 2*s**a - 8*s**4 + 4*s**2 wrt s?\nAnswer: -480*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-3)*s**(-2\/73)*s assuming s is positive.\nAnswer: s**(-148\/73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*l**2 + 4*l**3 - 3*l**3 - 5*l**2.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1059118, 4236461, 9532030, 16945825?\nAnswer: 26477846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -79, 1, -4, 3 in increasing order.\nAnswer: -79, -4, 1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -527 = 4*r - 1427. Is 25 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 3 - 1)*(-c + 0 + 0)*(8 - 14 - 22)*(-1 - 2 + 2)*(-c**2 - 3*c**2 - 2*c**2) as i*c**2 + o*c + r + l*c**3 and give l.\nAnswer: -672","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yrr when three letters picked without replacement from {y: 3, m: 12, r: 2}.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -6. Let c be k + 1 - (-1 - 0). Solve t - 7 = -c*l, -5*t - 5*l = -3*l - 19 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 716 - 716.2. What is the biggest value in -5, -0.1, m?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 365 = -565. Round l to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/6)*q**(-2\/3))**(1\/39)\/((q**(8\/7)*q)\/q**(-4\/11))**(-3\/10) assuming q is positive.\nAnswer: q**(11098\/15015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72\/6*(10\/(-8))\/5.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2633\/3393 + 2\/1131. What is the common denominator of 9\/6*(0 + 328\/(-180)) and r?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3347647 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**2 + 31*d + 140. Determine a(35).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 - 152620.\nAnswer: -152620.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 18*d**3. Let v be (0 - 1 - -1)\/(-34 + 31). Suppose -4 = 4*m - v. What is r(m)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-8)*(p**7*p)\/p)\/(((p\/(p**(-2)\/p*p))\/p)\/p)**(-39) assuming p is positive.\nAnswer: p**38","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-248)\/(-310)*(-12)\/(-6)*9\/(-6)?\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -3*h**2 - 1 - 2*h + 0 - 3. Suppose 3 = -3*l - 0. Let f(t) = -3*t + t**2 + 1 + 0*t**2 + 3*t. Give l*w(o) - 2*f(o).\nAnswer: o**2 + 2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 divided by 103738.\nAnswer: 11\/103738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1005, -303, -1611, -2919?\n\"Answer: -1308*o + 2313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -959 + 3780 + 9238 = -325*c - 616 for c.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8699? (a) -0.1 (b) 0 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 95, 389, 879, 1565, 2447, 3525?\n\"Answer: 98*h**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -5*m**3 + 55*m**2 - 190*m + 200 = 0.\nAnswer: 2, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 3\/8, -4 in decreasing order.\nAnswer: 3\/8, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 3. Let c = t - 2. Suppose n = -0*n + 2*z + 12, -n + 3*z + 13 = c. Is 6 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13\/((-26)\/3)*(-12)\/(-9)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -20\/9 and 46\/30073?\nAnswer: 270657","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*1007310\nAnswer: -302193","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of d**2 - 22*d - 64. Let k be p(13). Let u(c) = -c + 7. Let b be u(4). Solve k*l - 2*z = 18, -3*l + 7*z + 26 = b*z for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = j + 3*l - 10, -l + 20 = -j. Calculate the common denominator of 2\/4 - 380\/(-88) and (122\/8)\/(j\/16).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*i**4 + 51*i**3 + 93*i**2 + 12*i - 36 = 0 for i.\nAnswer: -6, -2, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(4 + (1*(((sqrt(208) - (1*sqrt(208) + sqrt(208))) + -5 - sqrt(208)) + 4 + 5))**2*1).\nAnswer: -192*sqrt(13) + 2556","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 4848?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 - 6*f - 6. Let c be d(7). Solve -13 = 5*j - 0*v + v, -2*v + c = j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in four thirds of a millennium?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5 - (-9)\/(-9)) + 51457 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {c: 7, q: 1, f: 1}?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 84524 and 154132?\nAnswer: 2620244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 71.8 + -74. Which is smaller: o or -1\/4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c**2 + 4*c**2 + 4*c**2)*(-12*c - 22 + 22).\nAnswer: -60*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*j**3 + 3*j - 2*j**4 - 11*j**3 - 17*j - 3*j**3 to a + l*j**4 + y*j + m*j**2 + b*j**3 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + h = 595. Is 19 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4*((-1 - -7) + -5). Suppose 2988 = 3*i - 3*f, -g*i - f = -3*i - 996. Suppose -b + 1711 = -i. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 57*d + 495. Let c be l(-6). What is the greatest common divisor of 10251 and c?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -35 - -85. Let a = -15 + h. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18043?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the first derivative of -158 + 2*v + 5\/2*v**2 + 1\/3*v**3. Calculate n(-7).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 55*o**3 + 65406*o**2 + 13080*o + 1184. What is u(-1189)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92821.\nAnswer: 92821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5480278.02 seconds to weeks.\nAnswer: 9.06130625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**3 + 3*r**2 + 3. Let c be u(3). Suppose -3*j = c*f + 2 + 7, -5*j - f = 11. Let t(z) = z. Calculate t(j).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 52 = -190. Suppose 24 = -4*x - 4*h, -3*x - 19 = 5*h - 1. Let s be 4 + 40 + x\/(-3). Calculate the greatest common divisor of g and s.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 13*u - 26*u - 39 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7\/6 (b) -1\/8 (c) -6 (d) 4 (e) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000986194 rounded to six dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 s when two letters picked without replacement from nosn?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 4*t = 13216, 6*u - u - t - 16504 = 0. Does 11 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 760106774 to the nearest one million.\nAnswer: 760000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + 1ce?\nAnswer: 1cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4 + d6?\nAnswer: da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.5 + 2.5. Let l = 2 - 2. Is l greater than z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 301 and 344?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bmxm when four letters picked without replacement from {x: 5, m: 4, b: 1}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -4*a - 89 + 86 - 9*a. Let j(c) = -c. Let r(u) = 5*j(u) - y(u). What is the tens digit of r(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/6)\/(1\/(-9)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lzl when three letters picked without replacement from wzwwwwwlllzwwlzw?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2692817.\nAnswer: 17, 23, 71, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3222 - -3?\nAnswer: -3214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-1) + 0 + -5. Let t(j) = j**2 + 5*j + 1. Let n be t(o). Suppose 3*u - n = 9. Solve -x + u = 3*z, 2*x - 4*z = -3*z - 12 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*d - 2*p = -68, 2*d + 789*p - 791*p - 8 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 952.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00065 to three decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-o + 4 - 4)*(-3 - 1 + 3) - 1 + 1 + o - 2 + 2 - o - 64*o - 2*o + 5*o)*(0*o + 2 - 3*o + 4*o).\nAnswer: -60*o**2 - 120*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p**2 - 2*p - 1. Let i be g(-1). What is the second derivative of 2*r**5 + 3*r + 0*r**i + 0*r**3 wrt r?\nAnswer: 40*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -85 (b) 0.59 (c) 0.3 (d) -1\/2 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*r**3 + 2225789*r - 2225789*r.\nAnswer: -3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 42354 and 6?\nAnswer: 42354","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 186 = -4*i. Let j(m) = -m + 33. Let g be j(27). Suppose 0 = 5*o - g*o + i. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*f**2 + 0*f**2 + 9*f**2 + 6*f**2 + 2*f.\nAnswer: 11*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 29.507 + -29.577. Which is the third smallest value? (a) 4 (b) 59 (c) h (d) -1 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23949, -47901, -71853?\nAnswer: -95805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -5*p + 493. Suppose 3*j + 7*j = -2*j. What is the tens digit of a(j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25 + (778 - 766) + -9 + -1\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 2*u**2 + 3*u - 5. Calculate the remainder when (-1)\/2*(-12 + 0) is divided by f(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 6 + 36 + 27 - f in the form s*f + q and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11783?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -101 or 8180?\nAnswer: 8180","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9571 is divided by 3104.\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5.97162 + 0.02838. What is the closest to 0.1 in c, 3\/2, -7\/13, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -572\/5 - -114. Which is the third biggest value? (a) 5 (b) n (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/13*k**2 + 72\/13 - 24\/13*k.\nAnswer: 2*(k - 6)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 1. Let z(d) = d**3 + d**2 + d + 3. Let v be z(0). Solve t*r - v = -9 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -6. Let j(n) = 4*n**3 - n**2 - n. Let r be j(-1). Let d = s - r. Solve m = d*m - 3 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -23, -9, 7, 25, 45, 67?\n\"Answer: n**2 + 11*n - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4984, 4985, 4986, 4987?\nAnswer: 4988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -71 + 23 + -3 - -14\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 103*z**2 - 117. Let p(b) = 103*b**2 - 118. Let x be 4\/6*(150\/(-4))\/5. Let g(t) = x*p(t) + 4*v(t). What is the derivative of g(h) wrt h?\nAnswer: -206*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/((a*a**(-5)*a*a)\/a))**(-18) assuming a is positive.\nAnswer: a**(-72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 8 + m**2 - 4*m**2 - 8. Let i(w) = 3*w. Calculate k(i(h)).\nAnswer: -27*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 1\/6, -26561.1, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -16*f**2 + 8*f + 20. Let d(b) = -5*b**2 + 3*b + 7. Let u(o) = -8*d(o) + 3*r(o). Differentiate u(w) wrt w.\nAnswer: -16*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 5*j + 1 + 4 = 0, 10 = -3*y - 5*j. Suppose 0 = t + 2*t - 9. Suppose -t = -g + 1. Sort -4, y, g in increasing order.\nAnswer: -4, g, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the first derivative of 62*j**5\/5 - 130*j**3\/3 + 54. Find the third derivative of r(w) wrt w.\nAnswer: 1488*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -4687*c - 2091. Does 31 divide l(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 2 = -1. Suppose -2*v = z*b - 280, -5*v = 3*b - 0*b - 682. Is v a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, v: 2, o: 2}. Give prob of picking 1 v and 1 g.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66)*3 - sqrt(66))*4)\/sqrt(6).\nAnswer: 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 3*a**3 - 4*a**2 + 3*a - 5. Let q(c) = 10*c**3 - 11*c**2 + 10*c - 15. Let f(n) = 7*o(n) - 2*q(n). Let r = -2710 + 2716. Calculate f(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010 + -110011010?\nAnswer: -110100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(45\/(-10)) - (-3)\/2.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8998 or -1.755?\nAnswer: 8998","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 10, -18, 3\/5, -2508?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 5*j - 165 = 0, 0*u - u - 2*j = -18. What is the remainder when 136 is divided by u?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98564?\nAnswer: 2, 41, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 4*r = -10. Suppose -8*k = -3*k - r. What is the second derivative of -d**4 + 0*d + k*d**4 - d wrt d?\nAnswer: 12*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21041 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:37 PM and 7:24 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -26*s + 3. Let z(l) = -9*l + 1. Let d(w) = -3*b(w) + 8*z(w). Calculate d(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 2*y = -43, 23*y = -2*t + 18*y - 3 for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, s: 11, n: 8}. Give prob of sequence nnnn.\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 33076811 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4828 is divided by 4792?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.877945 to one dp.\nAnswer: 7.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-81)\/(-45) + 2\/10. Put 0.3, 5, o, 0.4 in descending order.\nAnswer: 5, o, 0.4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (s**2 - 2*s**2 + 2*s**2)*(-s + s - s) - 1432*s**3 + 189*s**3 - 916*s**3 as c*s + f*s**2 + d*s**3 + n and give d.\nAnswer: -2160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/(-2) + 140\/8. Let z be t*6\/9*1. Suppose 2*h + z = 6*h. What is the greatest common divisor of h and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -64*v + 189*v + v**2 + 17 - 68*v - 66*v. Calculate the remainder when p(8) is divided by 19\/3 - (-1)\/(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 2 + 1 + -4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 497869.7l in millilitres?\nAnswer: 497869700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8 + 3. Let m = -8 - -12. Let f be (m\/10)\/((-4)\/o). Do f and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 144 = 5*d - g, 3*d - 4*g - 80 = 0. Suppose d*a = 14*a - 18*a. Factor -1\/4*r**5 + 1\/2*r**4 + 0 + 0*r**2 + 0*r + a*r**3.\nAnswer: -r**4*(r - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 246227913 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 901001 is divided by 50045.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -11*l. Let i(o) = 6*o. Let q(z) = 3*b(z) + 5*i(z). Let s(t) = 7*t. Give q(s(v)).\nAnswer: -21*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 19396\/15 or 1292?\nAnswer: 19396\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-5 - -11)) + 1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*a + 160*a + 125*a + 5346 = 0 for a.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -w - 96*v + 97*v, 9*w + 54 = 5*w - 2*v for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -10. Suppose t = l - 11. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1210001765?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -21.9866 to 1 dp.\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 348 is divided by 158.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 PM and 8:41 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9026, 18052, 27078?\nAnswer: 36104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbmcmxbjx. What is prob of sequence cmbj?\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r. Suppose -3*j = 7 + 5. Let l(n) = -4*n**2 - 3*n - 1. Let y(x) = j*k(x) - l(x). Let u be y(1). Solve -2*z - 4*m = -8, z + u*m = -0*m + 10 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, 0.5, 0.7607?\nAnswer: 0.7607","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-46 - 25) + 72 - 7*2\/18?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of -1\/5*k**4 + 4\/25*k**5 + 33 + 0*k + 0*k**2 + 0*k**3 - 1\/30*k**6. Determine z so that n(z) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 y when three letters picked without replacement from jyynj.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 401122 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -4\/1381?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 - 7*a**2 - 4*a + 7. Let p be 2*1\/(-8) - (-153)\/36. Suppose -3*q + 2 = 4*w, 2*q - 13 = -9*w + p*w. Calculate k(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*f**2 - 60*f**2 + 12*f**3 - 52*f**2 + 183*f**2 = 0 for f.\nAnswer: -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of 0 + 0*t - 35\/12*t**4 - 3\/2*t**3 + t**2. Is s(-8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*h**4 + 12*h**3 - 14*h**2 - 72*h + 72 = 0. Calculate h.\nAnswer: -6, -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of 505*v**2\/2 + 1088. Let a(n) = -n**2. Give a(t(g)).\nAnswer: -255025*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(363) - (-1*sqrt(363) + sqrt(363)))**2 + 5 - sqrt(363)) + -4)*3 + -4.\nAnswer: -1120 + 33*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7137 = -500*z + 38*z - 1641 for z.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -18 in 0.02, 2, -2, 0.3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**0)**24\/(d*d**(1\/4))**(-26) assuming d is positive.\nAnswer: d**(65\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 20.25 times 21647\nAnswer: 438351.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17 + -15 + (-122)\/(-1) is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.23 (b) 3 (c) -37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14512 + 21833. Is n a multiple of 123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -197\/17, 1, -0.1541?\nAnswer: -197\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 5*i - 2*o, 4*i + 2*o + 5 + 17 = 0. Let q be 0\/(-2) + i + 6. What is r in -40*r**3 - 3*r**2 + 83*r**q + 4*r**5 - 60*r + 23 - 7 = 0?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -s, 4*g - 2*s + s = 2. Suppose -o + 5 = -g. Suppose 14 = o*n - 6. Which is smaller: 2 or n?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 46*o - 51*o. Suppose 2 = -4*w + 5*f, 0 = 4*w + f - 1 - 9. Which is the closest to w? (a) 0.5 (b) o (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 4*f + 3. Let q(t) = -t**3 + 13*t**2 - 19*t - 26. Let u be q(11). Suppose 0*p - 80 = -4*p. Solve u*n - f*n = -p for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 783 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 6:42 PM?\nAnswer: 2:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26 by 166118.\nAnswer: 13\/83059","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m + 4. Let c be k(-6). Suppose -4*q = -p - 28, 4*q + 3*p - 22 = -c. Suppose -q*s = -4*s. Solve -b + s*b = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the second derivative of 7*w**3 - 1\/2*w**4 + 0 + 157*w - 3\/40*w**5 - 24*w**2. Factor p(m).\nAnswer: -3*(m - 2)**2*(m + 8)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 273978?\nAnswer: 27397.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/49724?\nAnswer: -1\/49724","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -180\/619 or -0.1?\nAnswer: -180\/619","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 115 - 88. Let g = 36 - s. Suppose 7*q - g = -2*q. What is the greatest common divisor of 1 and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)\/(sqrt(2)*2) + sqrt(7))**2 - -1*sqrt(343) - (sqrt(28) + sqrt(1372)*-1)\/(sqrt(8)\/(sqrt(4)\/sqrt(2))).\nAnswer: 63\/4 + 13*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**2\/2 + 41433*g\/2 - 3268278.\nAnswer: 3*(g - 156)*(g + 13967)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 38386 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -5*s + 6. Let j(n) = 6*n - 7. Let z(y) = 7*i(y) + 6*j(y). Let t be z(9). Let x = -5 + t. Solve -3*p - 23 = -x*v, -5*p - 1 = -v + 9 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175 is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/(p*p**(-2\/13))*p**(-2\/7))\/((p\/p**(-4\/5))\/p*p\/p**(-1\/10)) assuming p is positive.\nAnswer: p**(-939\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 + 19.9. Put f, 2\/7, 5 in increasing order.\nAnswer: f, 2\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -85\/22 and -103\/14?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 129\/(-3)*(((-923)\/355)\/13 + (-14)\/5)?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 9073?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**5\/n*n)\/n**(-2\/5)*n\/n**1*((n\/((n\/(n\/(n*n*n**5)))\/n))\/n)\/n)**(-1\/4) assuming n is positive.\nAnswer: n**(2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2155*x - 4325*x + 161 = -2147*x for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 6, x: 11, z: 1}. What is prob of picking 3 y and 1 z?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x - 18. Let l be k(-10). Let v be 2*-35*-9*l\/(-28). Calculate the greatest common divisor of v and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.066 in -0.2, 1, 38, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2. Let l(r) = 86261592*r. Determine l(c(f)).\nAnswer: 86261592*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 123.500958 to the nearest ten.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -474 + 27337?\nAnswer: 26643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 86453 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 351652 to the power of 1\/2, to the nearest integer?\nAnswer: 593","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 303.\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 61 is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/7440 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 = -4*q - 10*t - 139 + 17, -3*q - 3 = -3*t for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 7*s**3 + 8*s**2 + 4*s. Let c(z) = 6*z**3 + 9*z**2 + 3*z + 1. Let k(q) = 2*c(q) - 3*p(q). What are the prime factors of k(-3)?\nAnswer: 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 11200264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 2*n = 88. Solve 5*v + 3*c - 13 = 0, c + n = 2*v - 2*c for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-16)\/(-4) + 1\/(-1). Let w(r) = r**3 - 9*r**2 + 3*r - 11. Let d be w(9). Let p be 9\/6*d\/6. Is p at most as big as x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 75\/4 of a tonne?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 83.3959 micrograms?\nAnswer: 0.0000000000833959","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54050?\nAnswer: 2, 5, 23, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 961344959 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 d when two letters picked without replacement from nddnddxa?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, -125, 0.5 in decreasing order.\nAnswer: 0.5, 2\/11, -125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -3*y**2 - 30*y - 45. Let k be x(-8). Solve -4*l + k*o = -8, -2*l = -0*o + 2*o - 18 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand y + 3*y - 2*y + (6 - 1 - 3)*(-2*y + 2*y + 7*y) + 2*y - 4*y - y.\nAnswer: 13*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put together 720504 and -9272988.\nAnswer: -8552484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.06 and 0.0082.\nAnswer: -0.000492","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 1156 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 23538130 and 1210?\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (121 + -151 - -32) + 138\/(2\/2).\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-6))**(6\/23)*q**(1\/14)*q\/(q*(((q\/(q*q**(-29)))\/q)\/q)\/q*q) assuming q is positive.\nAnswer: q**(-9175\/322)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13450\/(-9415)*7\/(-36)?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1)\/(j**(-2\/15)*j))**(-27) assuming j is positive.\nAnswer: j**(252\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 4*g + 9. Let t(y) = y + 3. What is -4*n(m) + 11*t(m)?\nAnswer: -5*m - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8303 in -5\/9, 1, -0.5, 2?\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = 17*n + 1542. Is n bigger than -85?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 63 and 1330?\nAnswer: 11970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.204144631 rounded to 2 decimal places?\nAnswer: -7.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1192563819 - 23?\nAnswer: -22.8807436181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 36739568?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -90 - -1239. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -8744325849 and -5.\nAnswer: -8744325854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 3*z = 36, 3*g + g - 2*z - 32 = 0. Calculate the remainder when 10 is divided by g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 3:58 AM?\nAnswer: 4:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 130301?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -2*q**2. Suppose -4*y + 8 = 3*g + 14, -5*g - 5*y = 5. Let h(c) = 12*c**2 - 7*c**2 - 104*c**g. Calculate s(h(n)).\nAnswer: -19602*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3500) - (sqrt(3500) - 2*2*sqrt(3500)))\/(sqrt(7) + (sqrt(175) - (sqrt(175) + 1*sqrt(175) + sqrt(175) + sqrt(175))) + (sqrt(49)*-1)\/sqrt(7)).\nAnswer: -8*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 510437 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**7\/i*i**2\/i*(i*i**(5\/3)\/i)\/i*i**(-2\/3))**(-44) assuming i is positive.\nAnswer: i**(-308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 35 in 7, -1.36, 0.06?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.67 less than -53?\nAnswer: -52.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 66646196 divided by -16661549\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 8*v**2 - 9*v - 7. What is n(3)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3227, -3100, -2973, -2846, -2719, -2592?\n\"Answer: 127*s - 3354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -24612 (base 11) to base 2\nAnswer: -1000101000010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.215817 rounded to three dps?\nAnswer: -0.216","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 2)*(4 + 2*a - 4) + (-2*a + 3*a + 0*a)*(0 + 4 - 1).\nAnswer: a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) -0.09827 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 162.9 and -33?\nAnswer: -5375.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 298512 (base 11) to base 7\nAnswer: 3645041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (10 - (-1 - -22 - (19 + -18))) + -22\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/29, -49\/10, 0?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**5 - w**5 + 5*w**5)*(-4 + 0 - 1).\nAnswer: -15*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 3*y**2 - 2 + (0*y**2 + y**2 - 3*y**2)*(-2 - 2 + 5) - y**2 - 2*y**2 + 0*y**2.\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -19*y - 8 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/1242 and 107\/1876662.\nAnswer: 1876662","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 4 = -1. Let q be -5*(-3 - -2) - x. Let k = -5 + 7. Which is greater: k or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of -d**6\/120 - 3*d**5\/20 - 5*d**4\/12 + 5*d**3\/3 - 6*d**2. Let c be t(-9). Let a = c - 33. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*s + s**2 - 6*s**2 - 3*s - 7*s - s**3 + 6 in the form u*s + o*s**2 + k + h*s**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1738, -1748, -1758, -1768?\n\"Answer: -10*n - 1728","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kke when three letters picked without replacement from keeekkekeeeeekekee?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 59 - 60. What are the prime factors of -17*(-4 - -6)\/b?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -604 + 941. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32) + sqrt(32)*1)**2 + sqrt(2) - (sqrt(2) + (sqrt(2) - (sqrt(18) - sqrt(72)))**2 + sqrt(2)).\nAnswer: -sqrt(2) + 96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17905 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/24 - 35\/8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 2*l = -6*l - 7, -4*u + 8 = l. Let t = u - 4. Let s(r) = 6*r**3 + r**2. Calculate s(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6097355.4 to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -982 - -616. List the prime factors of z\/(-9) + 5\/15.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (1 - -3)) + 8 - -2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/2 and (-4)\/(-120)*-3*-91.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2426887415?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - 3210?\nAnswer: -3220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -26 or -21?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**3 + 81150*x**2 - 3090735*x + 3009580.\nAnswer: 5*(x - 37)*(x - 1)*(x + 16268)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 134 - 132. Suppose 0 = 2*s - a + 5, 5*s + 0*s - a = -8. Let p(w) = -116*w + 116*w - w**2. Let k(x) = -2*x**3 - 2*x**2 - 2. Calculate j*p(v) + s*k(v).\nAnswer: 2*v**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-138 - 14 + 16 - 48)*(7*d**2 + 21*d**2 - 11*d**2).\nAnswer: -3128*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 311331869 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31453714.\nAnswer: 2, 15726857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 PM and 4:17 PM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**4*f*f**2\/f*f*(f**0)**42)\/((f\/(f\/(f\/(f*f**7)))*f\/(f\/(f**(-4\/5)*f)))\/(f\/(f*f**(-1\/4)))**9) assuming f is positive.\nAnswer: f**(321\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -66942, -267848, -602714, -1071540?\nAnswer: -1674326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27262, 27261, 27260?\nAnswer: 27259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uvwu when four letters picked without replacement from {w: 7, v: 9, u: 3}?\nAnswer: 21\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 82473, 329855, 742159, 1319385, 2061533, 2968603?\nAnswer: 4040595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*g**5 - 3*g**5 + 3*g**5 + (4 + 5*g - 4)*(-2*g**2 + 2*g**4 + 2*g**2 + (-2*g**3 - 2*g**2 + 2*g**2)*(-g - 4*g + 4*g) - g**2 + g**2 + 2*g**4).\nAnswer: 33*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -39 (base 11) to base 7\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*b = 51 - 5 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 108543 a multiple of 1119?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23653810 is divided by 7884594.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -730?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of 29*m**2\/2 + 69*m - 22. Differentiate q(y) wrt y.\nAnswer: 29","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 142 and -0.3?\nAnswer: -42.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38 is divided by 33.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**5\/4 + 139*t**4\/4 + 937*t**3\/4 + 1713*t**2\/4 - 207*t\/2 - 594 = 0 for t.\nAnswer: -132, -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aqvv when four letters picked without replacement from {g: 1, q: 3, v: 6, a: 1, s: 3, z: 4}.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 - 5*n**2 - 928*n - 8562. Calculate t(-20).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5807 - 5805. Suppose 4*z - 4*v = 44, 2*z - 4*v - 6 = 18. Solve -4*g + w = -2*h, -h + 2*g - z = -3*g for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 6*s**2 + 15*s - 449. Let x be b(10). Let o = 4 + 3. What is the greatest common factor of o and x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 450 or 658?\nAnswer: 658","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9624 - 4585. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -4*n**3 + 5*n**2 + 7*n + 18. Let q be x(5). Let o be (-18)\/27*(2 - q). Is (o\/(-32))\/((-2)\/(-24)) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide (-5)\/30*-1 + 11267\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -195 - -204. Let x(n) = h*n - 20*n - n + 5*n. Let d(z) = 16*z**2. Give d(x(q)).\nAnswer: 784*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-1*sqrt(5)*1.\nAnswer: -3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 278757063?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, l: 1, g: 2, e: 2, i: 1, s: 1}. What is prob of picking 1 g and 1 i?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of 13*w**5\/60 - 9*w**2. Let i(u) = 4*u**2. Let f(t) = 2*g(t) - 7*i(t). Let k(d) = -67 + 67 + 2*d**2. What is f(k(x))?\nAnswer: -8*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*m = 10*m + 10. Solve 4*w + 0*t + t - 3 = 0, 0 = 3*w + t - m for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 21 - 4?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 5*s + 13, 3*s = 4*o - 0*o + 5. Let n = -0.04 + 3.04. Which is the second smallest value? (a) n (b) o (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 30 - 28. Suppose 4*u = -d - 14, -3*u + 2*d = -0*u + 16. What are the prime factors of -1*b + (1 - u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115828.\nAnswer: 2, 23, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 243*x**2 - 64*x**2 + x**3 - 57*x**2 + 80*x**4 - 65*x**2 - 62*x**2 as b*x + s*x**3 + a*x**4 + m + k*x**2 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 + t + 1. Give n(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w - 1 + 1.\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 4:35 PM?\nAnswer: 10:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the third derivative of r**8\/504 - r**6\/180 - 27*r**2. Determine t, given that p(t) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 5*h = -15, 11 = -45*y + 46*y + 4*h for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1941823 is divided by 18671?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 60965\/18 - 3389. Find the common denominator of 15\/(-15) - (-91)\/(-6) and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 4:57 AM?\nAnswer: 8:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/19 (b) 5 (c) -2 (d) -11 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -643 + 645. Let m be (-12)\/(-54)*12 - (2 - 0). What is the third smallest value in m, -15, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*k**2*l**4 + 74644*k**2*l**2 - 196613*k*l**4 + 2*k*l**2 + 4*l wrt l?\nAnswer: -72*k**2*l - 4718712*k*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 26639 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 171 + -168 + -10 + 1 + -2.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3569, 6575, 9581, 12587?\nAnswer: 15593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d + 8. Let t be c(-6). Let i(l) = -l + 2. Let s be i(-3). Let 4 + z + s*z + t*z**2 + 0*z**2 = 0. What is z?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6 - (-3 - -6) - 5. What is the tens digit of 4*(q + 46\/8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 109 (b) 5 (c) 124484\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 350.49 - 350.504717. Round s to three dps.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 49\/3 (b) 2 (c) 1\/8 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29307?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 16*b**2 - 56*b + 61. Let n(z) = 3*z**2 - 11*z + 12. Let l(t) = 2*c(t) - 11*n(t). What is l(8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2317)\/331*(-6)\/4*(-15)\/10?\nAnswer: -63\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -157 (b) 1\/5 (c) 130\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 5 + 10)*(-t + 2*t + 3*t)*(0 + 22 + 6).\nAnswer: 1568*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6 (b) 8 (c) 1574 (d) 436\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/15*(9\/36)\/(3\/(-30)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 121922 + (-3)\/(-1) - (-24 - -28) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 81521 and 1661?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0125227 rounded to 4 dps?\nAnswer: 0.0125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 3*x + 50 = 0, 63*d - 65*d + 20 = -3*x. Calculate the lowest common multiple of d and 119.\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11658)\/(-162) + (6596\/(-1836))\/(-97)?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1\/5, 0.01, -2\/27, -2?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.05 + 0.05. Let p = 0.04 + -0.04. Let c = l + p. Which is bigger: c or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28, -52, -76, -100?\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 126462*v - 2. Let c(d) = d**2. Calculate h(c(b)).\nAnswer: 126462*b**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**3 - 3*y + 3*y + (-3 + 2*y + 3)*(207*y - 89*y - 114*y + 107*y**2).\nAnswer: 213*y**3 + 8*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-54)\/(-270))\/((5\/(-2))\/5).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(14)\/sqrt(7)*6*-1.\nAnswer: -6*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (8\/3)\/((-160)\/1020)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -30 + 1334512?\nAnswer: 1334442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 153 (base 6) to base 4\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 87255*z**6 - 18*z**4 - 2*z**2 - 986231.\nAnswer: 10470600*z**3 - 432*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1091880, -1092071, -1092390, -1092837, -1093412, -1094115?\nAnswer: -1094946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jedtqdcddtqcceqeecce. What is prob of picking 1 e and 1 q?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5f - -6c?\nAnswer: cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -36*d**2 - 12*d + 19 + 162*d**2 - 41*d**2 - 43*d**2 - 43*d**2. Suppose -5*r + 52 = -3*q, 3*r - 13 = -2*q - 35. Give p(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3072000 to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -17*j - 5*j**2 + 17*j + 2*j**2 - j**2 - 3*j**2 + (-3 - 2*j + 3)*(j - 3*j + 0*j) - j**2 + 0*j**2 - j**2 + j**2 + 1 - 1.\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9456 rounded to two dps?\nAnswer: -0.95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 58791900*n**3 - 58312237.\nAnswer: 176375700*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 12*a + 16*a + 13*a - 50*a - a**2 in the form n + m*a**2 + t*a and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 35.8 + -36. What is the nearest to -1 in 0.4, r, 0.2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (((-6)\/(-7))\/(-1))\/(12\/(-924)). Find the first derivative of b*a - 33*a + 5*a**3 - 25*a + 4*a**3 + 212 wrt a.\nAnswer: 27*a**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93567937 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 376501 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 34 + -34.03. Sort -1\/8, 4, y in ascending order.\nAnswer: -1\/8, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156*q - 148*q + 274*q - 282 = 0. Let h = 0.7 - -0.3. Let m = 9 - 6. Which is the nearest to h? (a) q (b) -0.2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 - 2 - (-2 + 1). Suppose 2*f = -4*l + 4 + 30, -4 = -4*l. Suppose f = 2*w + y. Solve 4*q - 6 = w*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -80516, -161172, -241828, -322484, -403140, -483796?\n\"Answer: -80656*h + 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -19*-6.643305\nAnswer: 126.222795","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 4 = -2*m + 10, 0 = -2*z - 2*m + 2. Find the third derivative of a**4 + a**2 + 2*a**z - 4*a**2 wrt a.\nAnswer: 72*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 20442466 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -52 + 55. Suppose 6 = 3*p - m - 6, 0 = -u*p - 4*m + 12. Does 4 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108500 = 48*i + 169*i. Calculate the smallest common multiple of i and 20.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 115 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2924884830 to the power of 1\/6, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*n - 130 - 231 - 251 = 308 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -2, -3, 4, 5, -5, -92 in descending order.\nAnswer: 5, 4, -2, -3, -5, -12, -92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -329 - -413. Suppose 29*h - 90 = v. Solve -6 = 3*f - h*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j. Let g(f) = -6*f**2 + 1436*f + 3. Give s(g(c)).\nAnswer: -6*c**2 + 1436*c + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4 and -1812.\nAnswer: -1816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 922.31 - 927. Let r = n + -0.11. What is r rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o - 2 - 3 + 1. Let u be a(7). What is the closest to -2 in -2, -1, u?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from abaaaaawaauazzwabaa. What is prob of picking 1 w and 1 b?\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of -301*i**5\/30 + 13*i**4\/24 - 10*i**3\/3 - 3821*i**2. What is the second derivative of y(w) wrt w?\nAnswer: -1204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7cd03e (base 16) to base 6\nAnswer: -451153154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 339 is divided by 90?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (51017\/(-708236))\/((-153)\/12)\nAnswer: 1\/177","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/146961 and 81\/10886.\nAnswer: 293922","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.477816 minutes to hours.\nAnswer: 0.0079636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 30*r + 201. Let p be (-255)\/45 + 5\/3. Calculate the remainder when 319 is divided by a(p).\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1420 divided by 3?\nAnswer: -1420\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*l**2 + 8*l**2 - 12*l**2 + 7*l**2 - 47*l**3 + 1 as h + o*l + w*l**2 + d*l**3 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/5 + (-18)\/(-10). Let m = k - -1. Solve m*n = 5*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -108.00047 - -108. What is g rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(228)*2*6)\/(sqrt(48)\/(sqrt(8)\/sqrt(2))).\nAnswer: 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 + 7*c + 4. Let u be k(7). What is the remainder when 45 is divided by 0 + 14 + u\/2?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 23980 to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j**(-1\/4)\/j))\/(j**(-1\/4)*j))**15*((j*(((j\/(j\/j**(-1\/2)))\/j)\/j)\/j*j)\/(j**(4\/5)*j))**(1\/49) assuming j is positive.\nAnswer: j**(5496\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 370*w - 739*w - 176*w - 739*w to the form y*w + c and give y.\nAnswer: -1284","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 795 = 3*d, 0 = 16*z - 18*z + 14. Calculate the greatest common factor of d and 1520.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 242 and 31042.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 4*m**2 - 3. Let x(f) = 9*f**2 + f - 6. Let z(b) = 5*c(b) - 2*x(b). Is 7 a factor of z(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = 5*v - 56 + 58, -2*v + r = -4 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 - (2 - 0 - 103). Suppose -t = -5*p + 63, 3*p - t - 31 - 6 = 0. What is the greatest common factor of p and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*((-6)\/9)\/(128\/(-96)).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes after 9:54 AM?\nAnswer: 11:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 52113710?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.1 + 0.5. Let s be 0 + 62\/78 + -1. Let d = s + 181\/312. What is the nearest to -1\/3 in d, 0, t?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 1341\/189 + 1070\/(-210).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 5*x**2 + 51*x - 4. Let q(c) = -4*c**2 - 50*c + 3. Give 4*q(z) + 3*r(z).\nAnswer: -z**2 - 47*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 2:48 AM?\nAnswer: 2:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -16, -2\/47, 12\/5, 11?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 138079525?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 + 4*x**2 - 2*x + 12. Let h(o) = -o**2 - 30*o - 130. Let t be h(-25). Determine k(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:36 PM and 6:43 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 - 48*c**2 + 339*c - 46. What is the remainder when 1218 is divided by r(7)?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2409 by 219.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4660 by -2.\nAnswer: 2330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-8)\/(-10))\/(2\/5). Let v(z) = 2*z - 3. Determine v(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t + 10 + 2. Suppose 9*p - t*p - 4*d = 10245, -p + 4*d = -2065. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 87*c**2 - 9*c - 6. Let a be s(-6). Let u be 2\/6*(3 + a). Suppose -u - 413 = -2*x. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y - 24. Let b(t) = t - 4. Let u be b(4). Let h be i(u). Let a(v) = -55*v + 151*v - 52*v - 53*v. Let x(d) = -d. Determine h*x(n) + 3*a(n).\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v + 1. Let r be z(5). Suppose r*p - p = 0. Suppose c + 4*k = 3*c - 32, 5*c + k - 36 = p. What is the remainder when 22 is divided by c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 - 3*d - 8. Let k be q(-4). Calculate the greatest common factor of 10 and k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 224*z**3 - z**2 - 4*z - 2. Let v be a(-1). Let s = 224 + v. Solve k = -r + s, -3*k - 22 = -4*r + 2*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of -7*q**5\/20 + 6*q**2 + 23*q. What is the first derivative of w(b) wrt b?\nAnswer: -21*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 16, 26, 50, 94, 164?\nAnswer: 266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 136.14 in 0.4, 39.2, 1\/2, 1\/5?\nAnswer: 39.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2318635383.655 + 0.08?\nAnswer: -2318635383.575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 3:04 PM?\nAnswer: 4:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*g + 153*g**2 + 19*g**3 - 153*g**2.\nAnswer: 19*g**3 + 5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 7*y. Suppose -3*r = -6*r + 33. Let a(q) = -11 + r - 2*q**2. Give a(i(t)).\nAnswer: -98*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70 - (50 + -144 + 89 + (10 - (-1 + 2))).\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.16 and 389\/30 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3.4 times 65\nAnswer: -221","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2613912 * -16.\nAnswer: -41822592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 5 + 0)*(2684*f - 102*f + 1267*f + 401*f - 154*f).\nAnswer: 20480*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 435827723?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.85 - 1.16. Let t = 7.01679 + u. What is t rounded to 3 dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wj when two letters picked without replacement from wwwjwjjwjwwwwj?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 632733 is divided by 223?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 13 = -1. Let d(m) = -78*m + 2 - 4 + 1 - 1. Let n be d(-2). What is the highest common factor of n and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.257 + -2.257. Which is the closest to 3? (a) 0.3 (b) o (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.2 and -13.4553.\nAnswer: -13.2553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of 17*y**5\/10 + 3*y**3 + 38*y. What is the second derivative of u(c) wrt c?\nAnswer: 204*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4940062 is divided by 1646684.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 4*l**2 + 390112*l + 2340528 = 0.\nAnswer: -97522, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (300\/70 + -6)*(-4)\/16.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:10 PM and 1:06 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = 4*d - 25, y - 165 - 62 = -59*d for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 20114 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2936b3 + -5?\nAnswer: 2936ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 16829259\/5?\nAnswer: 16829259\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -29 + -1 + 6\/3. Suppose 2*c - 13*u = -11*u - 52, -3*c = -2*u + 81. Is f greater than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 y, and 2 l when four letters picked without replacement from lllylyylsxyy?\nAnswer: 10\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 1143440?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -138018675 divided by 1775.\nAnswer: -77757","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -346 (base 10) in base 6?\nAnswer: -1334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 36a450 + -4?\nAnswer: 36a448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6\/623 - -1192\/5607. Let j be (3\/(-9)*0)\/2. Let d = -199 + 592\/3. What is the nearest to j in z, 4\/3, d?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -3*s**3 + 102*s**2 - 3*s + 102. Let o be m(34). Is 16\/15 > o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -44 + 7?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -907*d = -830*d + 616 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 304*x**4 - 2635*x**3 - 6*x**2 - 21831053*x?\nAnswer: 3648*x**2 - 15810*x - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*l**2 - 69*l - 119 - 30*l**2 + 75*l + 118 as v + c*l**2 + u*l and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a - 15. Let p be g(-13). Let u be 26480\/50*(-5)\/p. Suppose -13*j = -17*j + u. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22099 is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 52565009 to the power of 1\/2, to the nearest integer?\nAnswer: 7250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 7*s**3 + 49*s**2 + 143*s - 21. Calculate j(-4).\nAnswer: -257","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7 and 632925.\nAnswer: 4430475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-13))\/((41860\/182)\/47840)?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 b when two letters picked without replacement from zwxipbi.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3757 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-144)\/(-42) + (-6)\/14. Let w(c) = b - 3 + 2*c. Calculate w(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -4 (c) -0.3 (d) 32377\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 160501 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.275853142 to 2 decimal places.\nAnswer: -0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t - 10 + 3*t + 2*t - 2*t. Let a be h(7). Differentiate -f - 2*f - a + 5*f with respect to f.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 less than -813734089423?\nAnswer: -813734089422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) 5 (b) 1\/17 (c) -12\/17 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*-1)\/(-12)*33\/22?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1226937 divided by 4?\nAnswer: -1226937\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, 6, 7, 10?\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 70.3, -0.172, 2, -3, 0.3?\nAnswer: 70.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 5 (b) -2.25 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -48 + 34. Let o(x) = 7*x**2 - 1 + 4*x**2 - 31*x**2 + 34*x**2 - 12 + x**3 - x. Calculate o(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of -5*g**6\/6 - 4*g**5 + 15*g**4\/2 + 160*g**3\/3 + 175*g**2\/2 + 60*g - 66. Factor m(p).\nAnswer: -5*(p - 3)*(p + 1)**3*(p + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3*2\/12 - (-126)\/(-4). What is the common denominator of 55\/2 and (12\/x*2)\/((-6)\/(-148))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27454 and 5681282?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 38939613 a multiple of 111?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 904343?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - -19 - 4 - (18 - 3)) + (-13 - -19)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(99) - (-2 + sqrt(99))) + 2 + -3 + (sqrt(1100) + (sqrt(1100) - (2 + 2*sqrt(1100) + sqrt(1100)) - sqrt(1100)) + sqrt(1100))**2 + -3.\nAnswer: 40*sqrt(11) + 1104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13.21 - 0.19. Let p = s - -13.3. Which is greater: p or -83?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, 4212.\nAnswer: -5, 1, 4212","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-7956)\/72)\/(-2 - 47\/(-24))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 198 divided by 11.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 224483 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 x when two letters picked without replacement from zvxzrekvxevz.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 w when two letters picked without replacement from ybuwuwd.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 4 (b) 3\/7 (c) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4152 to the power of 1\/2, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of x**8\/336 - 5*x**6\/24 + 56*x**5\/15 - 361*x**2. Find the third derivative of p(m) wrt m.\nAnswer: 60*m**2 - 150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 120973347?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-5)\/(q*q*q\/((q**(-1\/3)*q*q)\/q)))\/(q**5\/q*(q\/(q**(1\/3)*q))\/q))**(-5\/2) assuming q is positive.\nAnswer: q**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 39 = -29. Suppose 0 = -3*r - 0*t + t - i, 0 = -r - t + 1. Let u(k) = -k**2 - 3*k - 1. Determine u(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three tenths of a day?\nAnswer: 25920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1010 (base 7) to base 11\nAnswer: -299","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -94459, -94456, -94453, -94450, -94447?\n\"Answer: 3*t - 94462","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00014268 to 6 decimal places.\nAnswer: 0.000143","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 142641.\nAnswer: -1\/142641","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (5 + -5 + -4 + 3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 15*l - 12. Let w(n) = -782*n + 621. Let f(t) = -207*o(t) - 4*w(t). Let v(k) = -12*k**2. Calculate v(f(p)).\nAnswer: -6348*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a hour in seconds?\nAnswer: 30600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6363396421 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 165340 and 1225?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d + 7*d = 0. Suppose -8*v + 3*v = d. Solve 3*l + l = -a + 7, 4*l - 12 = v for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 20498800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(1053) + 0)**2 + (-1 + sqrt(1053))**2 + -2.\nAnswer: -90*sqrt(13) + 2121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2906.37*0.073.\nAnswer: -212.16501","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17\/1488 + 1\/31. Is 1 greater than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a decade in months?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (-3 + (-1 - 0)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7782? (a) 1\/2 (b) 4\/5 (c) -3 (d) 0.2 (e) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.17 and 0.6?\nAnswer: -0.102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 207\/18423 - 1063\/(-445)?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*x - 5*c - 28 = 0, -23*x + 3*c + 716 - 736 = -28*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 173 divide 225246?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50 + 246 - 28*y**3 + 12*y**3 - 39*y**3.\nAnswer: -55*y**3 + 296","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/6)\/((-2)\/(-3)). Which is bigger: -1\/16 or p?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 483\/5*n**3 + 126\/5*n**2 - 60*n + 72\/5 - 15*n**5 - 18*n**4 = 0?\nAnswer: -3, -1, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*j + 739 - 948 for j.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 192 = 6*z, -24*z + 144 = -31*z + 9*v - 12*v for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzmgzgzggzggg. What is prob of picking 2 g and 2 z?\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*-2938458.\nAnswer: 293845.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2919262 is divided by 1459621?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = -q - 261, 5*q = -3*n + 53 + 226. Calculate the greatest common factor of 176 and n.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110001010111 (base 2) to base 11.\nAnswer: 2412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -47143057513 from -4997.\nAnswer: 47143052516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*b = -16*b - 6. Solve 2*g = g - b for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4*(-246)\/(-312) - (-2)\/(-13). Let t be (-14)\/21 + -17*(-1)\/3. Suppose t*l - 29 = 3*b + 10, 18 = 4*l + 2*b. Solve -m*y = -l*y + 9 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 8 = -0. Is 2 - (l + -75) - -2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.02*0.471509\nAnswer: 0.00943018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1916615505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 145, 323, 575, 937, 1445, 2135, 3043?\nAnswer: 4205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*y**3 + y - y + (-2*y + y + 2*y)*(-3*y**2 + 90 - 90) - 7*y**2 + 7*y**2 + 9*y**3.\nAnswer: 10*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*26873\nAnswer: 8061.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 118, 1, 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*f**3 - 1749*f**2 - 2223*f + 2646 = 0. Calculate f.\nAnswer: -2, 3\/4, 147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 7) + (2 - (8 + (-7 - -3)))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a microgram in nanograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 2, -0.2, -5, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of 25*x**8\/336 + 2*x**7\/7 + x**6\/6 - 2*x**2 - 45. Find g, given that p(g) = 0.\nAnswer: -2, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2800.2 + 2811. What is the nearest to x in -2\/5, 3\/7, -6?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 104 + -93. What is the remainder when 325 is divided by u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -3 + 7. Let u(f) = 6*f. Let l be u(n). Suppose 0 = -3*w - w + 16. Solve 3*q + l = 0, w*q + 0*q = -p - 8 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1946164 and 132693?\nAnswer: 5838492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -195*v**3 + 9683*v**2 - 9683*v**2.\nAnswer: -195*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1212 + -10?\nAnswer: 1202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 32152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -107531, -215071, -322607, -430139, -537667, -645191?\n\"Answer: 2*k**2 - 107546*k + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*28\/40*64\/(-28).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 427831*y - 427831*y + 4*y**2.\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2633, -5266, -7899, -10532?\n\"Answer: -2633*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 42953347013 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -241\/6603870 and 97\/74620?\nAnswer: 13207740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 70559971 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 3*l + 9 = 0. Is 210\/9 - 1\/l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -4 - -3 - 6) + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + 0 + 8425*o + 8422*o - 16808*o - 7.\nAnswer: 39*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -7*h - 3*i + 869, 2*h - 332 = 4*i. What is the third derivative of d**4 - 173*d**5 - d**4 + 3*d**6 - 27*d**2 + h*d**5 wrt d?\nAnswer: 360*d**3 - 60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vyvoyyvfqvry. Give prob of picking 3 v and 1 o.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 7, s: 3}. Give prob of sequence nsn.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 2*i. Suppose 3*b + 3*a - 1 - 5 = 0, 2*a = -3*b + 6. Let f(k) = -6 + 4 + 2 + k**b. What is g(f(u))?\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 14668 rounded to the nearest one hundred?\nAnswer: 14700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -30 + -13 - 53 - -52\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-510)\/(-22) - ((-4)\/11)\/(-2). Let x(p) = p**3 - 24*p**2 + 34*p - 42. Let m be x(v). Suppose 15*i - 1379 - m = 0. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -42 - -45. Suppose -5*t + 40 + 60 = 0. Suppose -3*b = -v - 4*b + 1, -4*b = -4*v + t. Calculate the remainder when v is divided by o.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-18)*(-9)\/18)\/((-304)\/(-228)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 228477?\nAnswer: 3, 76159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 9871*k + 59. Is i(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of -m**6\/12 + 23*m**5\/60 + 243*m**4\/8 - 133*m**2. What is the second derivative of w(r) wrt r?\nAnswer: -60*r + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 - x**2 + 2*x. Let q(n) = -n**3 - 5*n**2 + 8*n + 10. Give -4*p(c) + q(c).\nAnswer: 3*c**3 - c**2 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18835 is divided by 27.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 16\/23, 1\/5, 2, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**3 - 9*k**2 - 24*k + 4. Calculate g(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9 less than 0.1681315253?\nAnswer: -0.7318684747","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y. Suppose 23*u - 21 = 16*u. Let o(v) = 7*v**2 + 3*v**2 - u*v**2. What is o(t(i))?\nAnswer: 7*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1935881 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cccc when four letters picked without replacement from {c: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 - (4048 + 6\/3). Let o = w + -4953. Round o to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 PM and 2:38 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 24069 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -4*a - 1409*v + 1415*v, -3*a - 3*v + 27 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -122123300021 (base 4) to base 3\nAnswer: -111001001101002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cgcvgkgvzgvggycgk. Give prob of picking 2 g and 1 k.\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -13*c**2. Let u(r) = -2*r**2. Give u(a(z)).\nAnswer: -338*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -2. Let z = -7 - d. Which is the smallest value? (a) 0.3 (b) 3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -3*v + 5*n, -3*v + 2*v = -6*n - 21. Let i = 1 + -1.3. Which is the closest to 0? (a) -0.4 (b) i (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 26 - 18. Let r = -6 + u. Is (-143)\/(-5) - r\/(-5) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85221863 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*v**2 + 3885*v - 11610 = 0. What is v?\nAnswer: 3, 774","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 72) + (-99 - -157 - 27).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8048?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-2*sqrt(875))\/(sqrt(77)\/(-3*sqrt(11)*1))*5.\nAnswer: 900*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y\/y**(-10)))**5 assuming y is positive.\nAnswer: y**(-50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 - 3*u**2 - u - 9. Let d be k(4). Suppose 4*o + o = 40. Let j = 12 - o. Sort -1, d, j.\nAnswer: -1, d, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -10 in -4\/9, -0.06, -3.46, 0.1?\nAnswer: -3.46","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 188662213 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 3*w - 5*w + 3 + w**3 - 9*w**2 + 3*w**2. Let v(z) = 3*z. Let x be ((-3)\/(-2))\/((-21)\/(-28)). Let n be v(x). What is c(n)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*m**3 + 9*m + 4*m**3 - 7*m.\nAnswer: -10*m**3 + 2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 36 or 12272\/339?\nAnswer: 12272\/339","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 115 + -3?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6 and -21.\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20099 = 8*f + 69211. Is f\/(-21)*(0 - -3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -4*v - 3*r, 0 = -2*v - v + 2*r + 6. Solve v*d = -d + 6 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -83 + 163. Calculate the highest common factor of 110 and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*h + 1529 = 981 - 2333 for h.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2.3 - 7.7. Let p = 27224301 + -27224290.9999964. Let q = p + g. Round q to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-9)\/12*-8 + 1369?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(4 + -3 + sqrt(68)*-1))**2.\nAnswer: -64*sqrt(17) + 1104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -26*x**2. Let u(m) = -10*m + 0*m + 16*m + 3*m. Let r(k) = 11*k. Let y(c) = 5*r(c) - 6*u(c). Give y(t(a)).\nAnswer: -26*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 - 11*c - 40. What is d(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -569*f**3 - 471?\nAnswer: -1707*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3398040 and 1570?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*(-3)\/12*-6. Let w(f) = -3*f**2 - b*f**2 + 5*f**2 + 7*f**2. Let j(n) = -3*n**2. Determine j(w(q)).\nAnswer: -108*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -3*k**3\/4 - 60871*k**2\/4 - 25348165*k\/4 - 8442625\/4 = 0.\nAnswer: -19865, -425, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30111 (base 4) to base 10.\nAnswer: -789","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -3*t - 3346*k + 3350*k, -5*t - 3*k + 74 = 0. Calculate the greatest common divisor of t and 17760.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 156 - 108. Let z(d) = -d**2 - 3*d + 2. Let r be z(-2). Suppose -a - f = -r*a. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssssuzsuuszzzsozz. Give prob of sequence ou.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 8. Let j = 8 + t. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 228247 and 5453.\nAnswer: 1597729","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 104, -0.3, -2\/43 in descending order.\nAnswer: 104, -2\/43, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1742 - -1766. Let s be 5\/1*(-2)\/(-5). Let g = t + s. What is the highest common factor of 2 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6547*g - 511993 = 155801 for g.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - 3. Let m be -3 - -1 - i - -214. What is the units digit of (-2)\/(-9) - m\/(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 3*z - 1. Let h(u) = 7*u + 1. Let m(q) = 2*h(q) - 5*y(q). Give m(-8).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a factor of 4\/(-1)*(-328*45\/(-6))\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*v**5 - 8116400*v**4 + 2*v**3 - 1560*v**2 - 2*v + 293.\nAnswer: -120*v**2 - 194793600*v + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 6*u - 9. Let w be n(2). Suppose 0 = -p - 2*z + 63, -2*p + w*z = -4*p + 121. What are the prime factors of p?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of -11*j**3\/6 - j**2\/2 + 7*j + 11. Let z(c) be the first derivative of o(c). Does 17 divide z(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51220832 is divided by 2950.\nAnswer: 2932","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4603*v**2 - 1166*v + 1166*v.\nAnswer: 4603*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -0.16 (b) -2 (c) 2\/13 (d) -810\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 189*d**3\/4 - 122097*d**2\/2 + 19720119*d - 625974.\nAnswer: 3*(d - 646)**2*(63*d - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -77919, -155869, -233819, -311769?\nAnswer: -389719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -19*i - 95. Suppose -6 + 43 = -37*u. Let w(q) = 1. What is u*j(a) - 95*w(a)?\nAnswer: 19*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 265 and 9005.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*d**4 - 3574752*d**3 - 32172444*d**2 = 0. Calculate d.\nAnswer: -893679, -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6.1 - -2.1. Let x = 0 - o. Let t = 2390.9 - 2391. What is the biggest value in 5\/7, x, t, 0.3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of 0*q**2 + 6 + 0*q**4 - 17\/5*q**5 + 0*q - 7\/3*q**3. Find the third derivative of g(w) wrt w.\nAnswer: -408*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42149 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventy-four thirds of a decade?\nAnswer: 2960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46150, -46139, -46122, -46099, -46070, -46035, -45994?\nAnswer: -45947","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -0*c - 2. Let q = 1 + c. Solve 5*j + q = -5 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28 + -23. List the prime factors of 44 + l + -3 + 0.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4286 divided by 2\nAnswer: -2143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of 5 + 0*o**2 + 2*o - 5\/3*o**3. What is the first derivative of z(b) wrt b?\nAnswer: -10*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -5 + sqrt(17) - sqrt(17))*-5.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 180 and 210345?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w - 2363 - 29317 = 0. What are the prime factors of 7\/((-4)\/(-30) + (-292)\/w)?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 times -735.9\nAnswer: -6623.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/4 - (-1311)\/2. Let n be (-4)\/(-6) + p\/3. Let f = n - 131. Calculate the greatest common divisor of f and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkkk when four letters picked without replacement from mkkkmmkmmkkkmm?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*t - 6159*s + 6155*s + 116, 4*t - 2*s = -58 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10656)\/(-8) - (-4 + 0). Suppose -w + p = 7*w. Is 8 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.3 or 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 + 7 = c. Let u be (c + -10)\/(3\/477). Round u to the nearest one hundred.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*2\/21*((-18690)\/560)\/89?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w and 1 j when four letters picked without replacement from bbjjjbjwjbbbjbwww.\nAnswer: 6\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of 0 + 1521\/2*h**2 + 1\/48*h**4 + 231*h + 13\/2*h**3. Determine d so that f(d) = 0.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 17 = -72. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (0 - 4 - (-32 + 28)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*l**2 + 16*l**2 + 4 - 4.\nAnswer: 21*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 PM and 3:13 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -4*j + 35. Let f be p(8). Suppose 17 = f*x + 6*c - 10*c, -4*x - 3*c + 6 = 0. Solve -2*v = -5*v + x for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 v when two letters picked without replacement from {m: 6, v: 1, o: 6, i: 1, r: 5}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-878)\/(-10)*40\/8.\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 PM and 10:16 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6850?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in twenty-seven quarters of a week?\nAnswer: 1134","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -0*n - 4. Suppose -f = f + n. List the prime factors of f*(1 - 0)*-3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 360214 is divided by 72000.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -95\/178 and 1\/((-2)\/9)*(-1290)\/(-774).\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x**2 - 6*x**2 + 2*x**2 + x**2 + 42*x**3.\nAnswer: 42*x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 273.8738 to the nearest 10.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34 is divided by 6\/8*336\/63 - -7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) be the third derivative of 1\/24*y**4 + 4*y**2 + 0 + 0*y + y**3. Let f be w(-2). Solve -f*j + 4*x - 24 = 0, 4*j + 4*x + x = 21 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h**3 - 2*h**3 - h**3)*(-5*h - 13*h + 3*h).\nAnswer: 15*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 274 bigger than 215914?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 11) to base 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -558303, -558305, -558307, -558309?\n\"Answer: -2*u - 558301","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, -4, -8, -0.3, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/4 - (-1 + 2). Let y = 8.3 - 7.11. Let k = y - -2.81. Sort r, 6, k in increasing order.\nAnswer: r, k, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 24*l + 27. Let w be o(-1). Solve 0*v + 2*a - 9 = w*v, -2*a = 2*v + 16 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 4*k + 25, 2*d + 0*k = -2*k + 2. What is the nearest to 1 in -1\/20, d, -0.3?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 279 and 15237?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 - 7*z**2 - 9. What is k(6)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 692655 is divided by 69260.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.14 - 5.04. What is the smallest value in 10, z, 11, 1\/4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + u = 432 + 334, -267 = a + 2*u. Let i = a - -335. List the prime factors of i.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(475) - (sqrt(475) + 2))*-4 + -2).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 61 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11123 divided by -6.\nAnswer: 11123\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 u when two letters picked without replacement from {v: 8, f: 2, h: 1, z: 7, u: 1}.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 52488 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -20113003021 (base 4) in base 12?\nAnswer: -898321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(2\/13)\/g*g**(4\/5)*g*(g\/(g*g**(-8)*g*g))\/((g**(-4\/9)*g)\/g*g)*(g**(-3\/5)*g**(2\/13))**(-47) assuming g is positive.\nAnswer: g**(3202\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*b + 75 = -75. Let q = 102 - b. Does 13 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (6\/(-10))\/((-7)\/(-35)). Calculate the smallest common multiple of p - ((-26)\/2 + -4) and 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120*n + 16 = -116*n. Suppose -n*w + 3*g + 4 = 6, w = g - 1. Let i = 3 + w. Solve -21 = -5*l + i*u, 1 = -u - 3 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23 - 31 + 3*r**2 + 75 - 75.\nAnswer: 3*r**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 384 and 161184.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 3*o - 2*o - 8, -4*h + 11 = o. Solve -4*a - 1 = -n, 0 = -a - h*a - 4*n + 4 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-12)\/(-2))\/(46 + -49). Sort 4, 11, 0, c in descending order.\nAnswer: 11, 4, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((-2*sqrt(190))\/sqrt(10) + ((sqrt(190) - (sqrt(190) + 1*sqrt(190)))\/sqrt(10))**2)*-2.\nAnswer: -190 + 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7, -2095, -3182, -2?\nAnswer: -2095","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (10\/(-4))\/((-294)\/96 - -3). Let i = -21 + 107. Let z be ((-1)\/((-6)\/(-16)))\/(i\/(-3225)). What is the highest common factor of q and z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -139, 1, 3 in decreasing order.\nAnswer: 3, 1, -5, -139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 4*b - 2317 = 0. Let g = b + -164. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 11*h**2 - 114*h - 205. What is the tens digit of x(-33)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*w - 31*w - 5*f = -10, 2*f - 4 = -3*w. Find u, given that w + 2\/7*u - 2\/7*u**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 921 + -844. Let x = -1 - -10. What is the remainder when c is divided by x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 734*n**2 - 734*n**2 - 2*n**3 + 13*n**3.\nAnswer: 11*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 174829?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 48, 34, -3 in decreasing order.\nAnswer: 48, 34, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -4*b + 32, -18 = -b - 2*n - 7. Let j = -1 - 0. Calculate the common denominator of b\/(-7) + j\/(-8) and -109\/12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -17 - 11*k**2 - 10 - 1 + k**2 + 20*k + 11*k**2. Calculate z(-22).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.79 - -0.11. Let f = 9.9 - w. Let k = 8.00125 - f. What is k rounded to four dps?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z + 11*z**2 - 11*z**2 - 3 - z**3 to c*z**2 + d*z**3 + u*z + l and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1398997962?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 (base 10) in base 9?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -18*(-12)\/40 - (-6)\/(-15). Suppose 4*p + 5*m - 5644 = 0, 3*p + y*m - 4233 = 4*m. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*i*s**2 - 398*i*s - 6945932*s**3 - s**2 + 4158*s - 15 wrt s?\nAnswer: -18*i - 41675592*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 23912 - 23912 + 3*w**2.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 68461683803 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -10953128 + -2981431\nAnswer: -13934559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 48*u**2. Let r(s) = 5*s**2. Let a(k) = 18*r(k) - 2*z(k). Let i(c) = -143*c**2. Determine i(a(g)).\nAnswer: -5148*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*x + 3*x - 2*x)*((-11 - 9*x + 11)*(26*x + 70*x + 7*x) - 23*x + 23*x - 10*x**2)*(3*x - 3*x + x) to d*x**3 + w*x + u + z*x**2 + m*x**4 and give m.\nAnswer: -937","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 5*g**2 - 3*g + 3. Let f(l) = 6*l**2 - 4*l + 3. Suppose -4*r + 207 = -70*r - 57. Let u(y) = y**2 - y + 3. Let q be u(0). Calculate q*f(c) + r*s(c).\nAnswer: -2*c**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 93 + -103. Let x be (-134)\/(-190) - (18\/b)\/(-3). Suppose 0 = 5*s - 5. Is x at most s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 + 22*h**2 + h - 29. Determine c(22).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 45\/3 - (-8 - -17). Let m(r) = -r**2 + 20*r - 77. Give m(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-2)\/(-6))\/(5\/60). Suppose -5*w - 48 + 3 = -5*k, 0 = i*w. What is the lowest common multiple of k and 12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -202 + 1578*r**2 + 202 + 3126*r**2.\nAnswer: 4704*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 3 = -z, -3*z - 17 = -0*z + 5*j for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1065019 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: What is 2.358175 nanograms in micrograms?\nAnswer: 0.002358175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((2 - -3 - 10) + 3 - 3) + -10\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3 and -4.11.\nAnswer: 12.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0024656 to five dps.\nAnswer: -0.00247","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.11 + -2.11. Does a = 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (0 - (2 + 3)) - 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -4*b**2 + 3*b + 2. Let i = 15 + -17. Let u be y(i). What is the tens digit of 9\/15 + (-568)\/u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z**4 - 160*z**3 + 445*z**2 + 6010*z + 5400 = 0.\nAnswer: -4, -1, 10, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -60 + 67. Which is greater: u or 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-40)\/30 + 4\/(-12))*2340\/650.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 3302?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(5)*-4 - (-2 + sqrt(5) + -4).\nAnswer: 6 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 108180?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1283 and -43597.\nAnswer: -55934951","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1434964? (a) -5 (b) -1 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1aaab - 6a3?\nAnswer: -1b592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 v when two letters picked without replacement from {x: 1, t: 1, s: 4, v: 4, q: 1}.\nAnswer: 16\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 860 is divided by 57?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10286*r**2 + 14941.\nAnswer: -20572*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = 5*w - 196, 165 = 4*g + 3*w - 23. Suppose -2*c = 4*h - 872, 3*h + c - 6*c = 667. What is the remainder when h is divided by g?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 116 times -3?\nAnswer: -348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -70 (b) 3694.9 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 4 (b) 583 (c) 37275 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 64390 (base 11) to base 10\nAnswer: 93632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 41674579 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence enhk when four letters picked without replacement from nkhnenknnkkkhnh?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1628*g**3 - 70*g**2 - 56*g - 4*g**5 - 1733*g**3 + 116*g**4 - 124*g**2 = 0. What is g?\nAnswer: -1\/2, 0, 2, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*q = 47*q + 54*q + 210 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 238 and 7771414.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3\/7 + 11\/42. Let h(b) = 9*b + 3. Let l be h(3). Let o = 148\/5 - l. Sort o, f, 4 in increasing order.\nAnswer: o, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**2 - 95592*t + 571114404.\nAnswer: 4*(t - 11949)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2183209.8747 - 14242.7853. Let w = -2197519.66000061 - g. Let j = -67 - w. What is j rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 11\/8 of a meter?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -5. Let v(a) be the third derivative of 0*a + c*a**6 + 3*a**2 + 0*a**3 - 1\/30*a**5 + 0 + 1\/105*a**7 + 0*a**4. Find i, given that v(i) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - 37 - (-130 + 82).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x - 1. Let n be g(4). Let m be (2*-1)\/(15\/(-1)). Which is the nearest to -1\/2? (a) 2 (b) n (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 - 1. Let b be (-4)\/4*(-4 + 0). Suppose -w = -b*y + 9. Solve -y*p = -2*p - 8 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*f**2 + 6408478*f - 6408478*f + 235*f**2.\nAnswer: 224*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1 + 0)*(28*m - 39*m + 18*m + (0 + 2 - 1)*(-3*m + 3*m - 2*m)) in the form c*m + z and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_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: Round -1132112.234 to the nearest one hundred thousand.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**4 - 12*c**3 + 9*c**2 + 12*c - 12.\nAnswer: 3*(c - 2)**2*(c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -337 = 41*x - 91 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3942 by -1314.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (l - l - 4*l + (-2 - 2 + 3)*(l + 3*l - 2*l))*(14 - 10 + 4) in the form j*l + d and give j.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -229 - -249. What is the highest common divisor of n and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 13 - 5 = 3*i, 2*u = 4*i - 24. Calculate the common denominator of 137\/(-154) - (-3)\/(-7) and 6\/u*36\/(-2).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of i**3\/18 - 5*i**2\/4 + 9*i - 3472. Factor u(v).\nAnswer: (v - 9)*(v - 6)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -n - 2*n. Let z = n + 1. Let l(f) = -f**3 + 9*f**2 + f + 6. Is l(z) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 18851121*o**3 + o**2 + 2*o - 85581823?\nAnswer: 56553363*o**2 + 2*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -101001110 (base 2) in base 9?\nAnswer: -411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.1, -0.3, 1\/14?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8 or -37469?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 5*c**2 - 105*c + 612. Give a(13).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 15\/(-35)*(3 - 2). Sort -1\/4, x, 0.2 in descending order.\nAnswer: 0.2, -1\/4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 25522984.\nAnswer: 1\/12761492","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ipbbiiipiibpiibp. What is prob of picking 2 b?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 17*w**3 + 5*w**2 - 3*w - 5. Let l(b) = 8*b**3 + 2*b**2 - b - 2. Let p(y) = 3*a(y) - 7*l(y). Give p(-2).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the second derivative of -g**4\/6 - 2*g. Let t(l) = 1769*l + 232. Let x(q) = -1 - 48*q + 25*q - 2. Let a(b) = 3*t(b) + 232*x(b). Calculate u(a(j)).\nAnswer: -1682*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -17316 or -16837?\nAnswer: -16837","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 359760.8 milligrams to grams.\nAnswer: 359.7608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 61*d + 2640. Calculate u(-43).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (5 + -1 - 9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 100610, 201263, 301916, 402569, 503222, 603875?\n\"Answer: 100653*m - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(1782))\/(sqrt(216)\/sqrt(12))*-3.\nAnswer: 27*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -93 - 351393237.\nAnswer: -351393330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2675470 divided by -76442?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bp when two letters picked without replacement from {p: 4, b: 2}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 6 + (23 - 6)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147 = 3*z - 2*z. Suppose -h + 71 = 3*k, 5*k = -2*h - 0*k + z. What is the tens digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1052 - 458.76645548.\nAnswer: -1510.76645548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (m + 3*m - 7*m)*(23*m**2 + 31*m - 31*m)*(-3 + 3 - 4) to the form r*m + k*m**3 + b + p*m**2 and give k.\nAnswer: 276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 105873*j - 10465 = 106172*j for j.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/15*-47 + 58\/(-435). Let i(s) = -3*s + 4*s + 0*s - 2. Give i(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(((-2)\/2)\/(-1))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 1704*t + 104 - 199 + 95 as n*t + g and give n.\nAnswer: 1704","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -52*n + 49*n + 159. Calculate the greatest common factor of 53 and n.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, w: 6, n: 10}. Give prob of picking 1 w and 1 n.\nAnswer: 15\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27549.\nAnswer: 3, 3061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -44\/351 and -83\/234?\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*y - 12*y - 41364. Let r = y + 17410. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4141 not equal to 4500?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1209 + 0.188.\nAnswer: 0.3089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (20\/(-6))\/(4\/(-6)). Let t(c) = c + 2. Calculate t(z).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -434 and 0.25.\nAnswer: -108.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a microgram in nanograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (147\/(-28))\/((-98)\/(-112))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40003001 (base 7) to base 6.\nAnswer: 154343322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 110\/198 - (-2)\/(-6). What is the closest to 1\/4 in h, -2, -0.356?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2\/909 - -1517\/909. Put 1\/6, m, -18 in descending order.\nAnswer: m, 1\/6, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 + (-49 - (31 + -70))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -213 - -212.8. Let l = -3.94 - 0.06. Which is the nearest to u? (a) 1\/8 (b) l (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 53, -4 in descending order.\nAnswer: 53, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*z + 8 = 37*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 14 (b) -84 (c) 5 (d) -4 (e) 3 (f) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 790765 is divided by 439?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, s: 1, x: 1, j: 1, k: 1}. What is prob of picking 1 b and 1 k?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -3 + 5 + 3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -308, -1\/2, 0.2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) -2 (b) 41500 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*6\/(-36)*1.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -11 + -9\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 4*i = -457 + 153, i = -p + 161. What are the prime factors of p?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**2. Let r(q) = 2*q**2 + 5*q - 18. Let n(z) = 4*z**2 + 7*z - 26. Let c(k) = -5*n(k) + 7*r(k). Calculate -c(l) + 4*i(l).\nAnswer: 2*l**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39199?\nAnswer: 39199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-1 + 9 + -10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.00074 and 6115.\nAnswer: -4.5251","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*t + 23*t + 4355 = 0. Solve -59*d - 8 = -t for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -8*j. Let q be p(-1). Suppose q + 4 = 4*h. Factor -10\/9*u + 4\/9 + 2\/9*u**h + 2\/3*u**2 - 2\/9*u**4.\nAnswer: -2*(u - 1)**3*(u + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23578?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 6. Suppose 0 = 3*v - h*v - 21. What are the prime factors of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 3 + (sqrt(28)\/sqrt(4))**2 + -1 + (-2*sqrt(84)*3)\/(sqrt(972) + sqrt(972)*-2 - sqrt(972)) + -5.\nAnswer: sqrt(7)\/3 + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 2*b + 4 = 0, -5*b = 5*l - 34 + 14 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7421 + -7421.07. Which is the fourth biggest value? (a) -0.17 (b) -12 (c) 0.3 (d) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 87313.\nAnswer: 87313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.2 - -2.6. Let x = -3 - z. Let y = 11 - 53\/5. Put 0.1, x, y in increasing order.\nAnswer: x, 0.1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75c592 (base 16) in base 10?\nAnswer: 7718290","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = -3*n - 7, 11 = -5*n + 5*l + 46 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6785843 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -2*k**2. Let v(c) = -73334*c. Give v(y(t)).\nAnswer: 146668*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 = 4*q - 6*u + 3*u, -u + 27 = -2*q. Let g = q - -30. Suppose 5*x = 3*y + g, -5*y + 4 = -2*x - 1. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2989663 equal to 2989576?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of -71*j**7\/42 - j**6\/6 - 65*j**4\/12 + 7*j**2\/2 + 94*j - 1. What is the third derivative of t(b) wrt b?\nAnswer: -4260*b**2 - 120*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1422.\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 6 = -2*h - 2*z, 2*h + 5*z = 29. Calculate the least common multiple of h and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 26*s - 5. Let g(k) = 9*k - 2. Give 8*g(i) - 3*t(i).\nAnswer: -6*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -223*s + 464 = 107*s + 3104 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 66 + -71. Let l(r) = -r**2 - 8*r - 1. Let o be l(n). Let z = 45 + -10. What is the greatest common factor of z and o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*w**2 - 5*w**2 - 13*w**2 in the form n*w**2 + y + r*w and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 + 10*i - 5. Give p(6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4 and 13960612?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-2))\/((-8)\/(-10) + (-9174)\/11880).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 68, 69, 66, 59, 48, 33, 14?\n\"Answer: -2*h**2 + 7*h + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 306815 = 239*f + 311356 for f.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 7 - 13 - 368*b.\nAnswer: -368*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 76447878.06 rounded to the nearest one million?\nAnswer: 76000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - 11. Let n = l + 30. What is the greatest common factor of 91 and n?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 255?\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 58*t**2 - 7256*t + 496. Calculate p(125).\nAnswer: -254","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -2.65 * 0.5\nAnswer: -1.325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 81314763 to the power of 1\/3, to the nearest integer?\nAnswer: 433","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 2 = 8. Let x(f) = 2. Let p(h) = -h - 2. Let u(o) = r*p(o) - 3*x(o). Suppose -6*b + 3*z + 6 = 0, -b = z + 13879 - 13892. What is u(b)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25 - ((-530978)\/(-204))\/(-97)?\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -68*a*k*q + 3*a*k + a*m + 2*a*q**2 - 25*k*m*q**2 + 6*k*m + k*q**2 - 80*m*q wrt m?\nAnswer: a - 25*k*q**2 + 6*k - 80*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/((-20)\/(-1)))\/((-76)\/(-2183328)*63)?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.7 - -1.3. Let m = o - -3.4. Let i be (-2)\/24*(-45)\/10. Which is the smallest value? (a) m (b) -0.4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 44\/12 - (-3)\/9. Find the second derivative of -11*z**2 - 5*z - 4*z**o + 11*z**2 wrt z.\nAnswer: -48*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 644961 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.6 - 0.60000086. What is c rounded to seven decimal places?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001910171667 to 7 decimal places.\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2211333 - -2?\nAnswer: 2211340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 1206 * 1\nAnswer: 1206","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -179*w**3 + 350*w**3 + 3*w + 2*w**2 - 177*w**3 in the form d*w**3 + g*w**2 + j*w + i and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (172 - 17 + 82)*(30 - 3 + 14)*(3*j**2 - 4*j**2 - j**2) as m*j**2 + f*j + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + 4. Suppose -4*f - p + 59 = 0. What is the remainder when 25 is divided by f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -115 - -225\/2. Let q = b - -2. Which is greater: 0 or q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10001011010010000001011001 + 1?\nAnswer: 10001011010010000001011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5913115920?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**3 - 6*u**2 - 5*u + 4. Let w(p) = p**3 + 7*p**2 - 2*p + 6. Let j be w(-7). Suppose 3*h - 5 + j = 0. What is z(h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1\/10 - 3\/70. Suppose -10*b + 6*b + 60 = 0. Let z be b\/(-70) + (-1)\/(-2). Which is bigger: x or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -4085, -4\/5, -0.03?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 - f + 53. Let y(o) = o**3 + 5 - 1 - 5. Let n be y(1). Is i(n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3570961 to the power of 1\/3, to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 176 and 32?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 2*d - 10, -4*d + 30 = -4*n - 30. Let h be (-2 - -3) + 1 + d. Suppose s = -3*s + h. What are the prime factors of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7 - -167?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*k**3*t**2 - 26620*k**2*t**2 - 650*k*t**2 - 352*k*t wrt k?\nAnswer: 30*k*t**2 - 53240*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -343320 (base 5) in base 8?\nAnswer: -30057","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 155 a factor of 136230354?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4744424 divided by -4\nAnswer: 1186106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 AM and 3:11 PM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*h = 2*h - 179653716. Let f = h - 9671143. Round f to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*w + 5*b + 13, 1367*b - 1370*b - 63 = -15*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 113 - 113 - 2*x**5 + x + (0*x**4 + x**4 - 3*x**4)*(-2*x + 0*x + 4*x) + (2*x**3 + 17*x**2 - 17*x**2)*(3*x + 2*x**2 - 3*x) + 0 - 2*x**5 + 0.\nAnswer: -4*x**5 + x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 103*q + 418. What is y(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 329 - 345. Let r be (-3)\/2*(-12)\/(-9). Let k be (r\/(-8))\/((-15)\/40). Sort k, b, -0.4 in ascending order.\nAnswer: b, k, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31918 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -208 - 3081 = -13*b. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 1\/4, -0.3, 2\/17?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -39819.28 rounded to the nearest one hundred?\nAnswer: -39800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*b + 2*b - 22*b.\nAnswer: -23*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-2\/27)*o**(3\/8)\/o*(o\/o**0)\/(o\/o**(-4)) assuming o is positive.\nAnswer: o**(-1015\/216)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 35*x**3*y**2*z**2 + 2*x**3*z**2 + 4*x**2*y + x*y*z**2 + y**2*z**2 wrt x.\nAnswer: 210*y**2*z**2 + 12*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 11:11 AM?\nAnswer: 10:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 35*j**4 - 4*j**3 + 4*j**2 + 11*j. Let n(r) = 36*r**4 - 5*r**3 + 5*r**2 + 10*r. Let k(o) = -4*n(o) + 5*t(o). Find the second derivative of k(p) wrt p.\nAnswer: 372*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11\/6 in 32, -1, -2\/41, -4?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 451076 a multiple of 1486?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1325, 4, 350.\nAnswer: 4, 350, 1325","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -980 + 1046. Which is smaller: s or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 - 12*p + 84. Let u be q(-18). Let b(h) = -2*h**3 - 48*h**2 + 2*h + 50. Let t be b(u). Solve -8*n = -t*n - 12 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-2))\/((-80)\/(-64))?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 174035 and -1.1?\nAnswer: -191438.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -10185127+-22\nAnswer: -10185149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72) + -2 + -3 + sqrt(72) + (sqrt(72) - (sqrt(72) + 1)) + 3)**2.\nAnswer: -72*sqrt(2) + 297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 667 (base 8) to base 11\nAnswer: 36a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.6 and 8.\nAnswer: 12.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11) + (sqrt(11) - (sqrt(11) - (sqrt(11) + 0))*-1)**2 + sqrt(704) + 4 + 3.\nAnswer: 18 + 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*t**4 + 185*t**2 - 371*t**2 + 8*t - t**4 + 184*t**2 + 5 in the form g*t**3 + u*t**2 + y + a*t + n*t**4 and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/31, -1\/7, -2\/17, -7\/6?\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*i**2 - 3*i**3 - 5*i**2 + 0*i**2 + 3 + 6*i**3 - i in the form n + g*i**3 + o*i + f*i**2 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - 566\/30) + (114\/(-399))\/(45\/21).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2002 is divided by 118.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16568 by -2.\nAnswer: 8284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 6 = -2*w, 4*r = 2*w - 40 + 42. Solve -r - 9 = -2*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -45 + 50. What is the second derivative of 3*j**4 + 8*j**4 - 20*j + 37*j**f - 11*j**4 wrt j?\nAnswer: 740*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**2 + 3*r**2 + 0*r**2 + (0 + 0 + 3)*(12*r + 216*r + 126*r)*(4*r - 3*r + r).\nAnswer: 2125*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 325301 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*a - a = 2880. Let p be a\/(-30) - 10\/(-25) - -12. Let q be (12\/10)\/((-2)\/(-5)). Solve -q*r + 0*r = -p for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 519165680?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n**2 - 6*n + 5*n**2 + 6*n.\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 5:37 PM?\nAnswer: 8:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p**2 - 11*p - 14. Let r be m(9). Let u = r + -47. Let l = -23 - -24. Solve -3*b - u*w = -7, 3*b - 5*w + 6 + l = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3924386?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/1977650 and -107\/13843550?\nAnswer: 13843550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 68700 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 184 = 182. Calculate the lowest common multiple of 22 and (-5*(-6)\/(-60))\/(t\/(-72)).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 263 + -265. Which is the nearest to s? (a) -0.4 (b) -2 (c) 3\/4 (d) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -333 - -335. Solve 7 - 1 = l*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i - 3*i - i + 3*i - 10. Let d = -12 + 6. Let v(l) = -2*l - 9. Let f(n) = d*w(n) + 7*v(n). Find the first derivative of f(b) wrt b.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 3*g**2 + 957183*g + 4785840 = 0?\nAnswer: -319056, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.2003043+1\nAnswer: 1.2003043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (2\/2 + 5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104*k = 103*k, 8 = 4*m + 3*k. Solve -4*t = -4*n + 4, t - 5*n = -t - m for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -545*u + 530*u - 126 - 99 for u.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 76113?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -29772193 divided by -5\nAnswer: 29772193\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -398*y - 4727*y = 2468*y + 15186 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 23485*c**3 + 0 + 13174*c**3 + 10307*c**3.\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8 and (-8)\/12 - 224\/(-21).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-7)*((o*o**3)\/o*o)\/o)**(2\/55))**(-6\/5) assuming o is positive.\nAnswer: o**(48\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 470374 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 5:16 PM?\nAnswer: 12:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 1697*r - 451. Is 54 a factor of g(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -90\/607673 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37810762 is divided by 39?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48\/44)\/(3*62\/(-2046))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17077 is divided by 10442.\nAnswer: 6635","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 933*i**3 - 31*i**3 + 552*i**3 + 79*i**3.\nAnswer: 1533*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -62\/642417 and -137\/13044?\nAnswer: 2569668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z - 3. Let c be (-4)\/(-26) + 6\/(-39). Let f be a(c). Put 5, 0.3, f in decreasing order.\nAnswer: 5, 0.3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26644047 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*u - 4, -2*b - 4*u = -21 + 7 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -52 + -248 + 201 + 12 + 0.\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 7358146.9 to the nearest 1000.\nAnswer: 7358000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 786669?\nAnswer: 3, 13, 23, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 128 + -104. Suppose 2*r - p = -2*r + h, 3*h - 18 = -3*r. Solve 0*g + r = 3*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-130)\/728)\/((-24684)\/(-693) + -38)?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77846 is divided by 545.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 * -0.24\nAnswer: 0.0048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 9*h**2 - 6*h + 14. Let z(j) = -4*j**2 + 27*j - 16. Let x be z(6). Calculate the remainder when 46 is divided by n(x).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 24*x**2 + 151*x + 816. What is z(-9)?\nAnswer: 1401","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**0*u\/u**(5\/2) assuming u is positive.\nAnswer: 1\/sqrt(u)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3591358 and 2626.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 4 = -0*x. Let r = 16402 - 16405. Sort -4, r, x, 85.\nAnswer: -4, r, x, 85","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/11 in -0.5, 29, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 721*h**2 - 43263*h + 128. Give o(60).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-55)\/2 - (3 - (20 - 42) - 588\/24).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6 or -31\/5?\nAnswer: -31\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -9a36 (base 15) in base 6?\nAnswer: -411140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 179*g*h**3*w + 5066*g*h*w**2 + 2*g*w**3 - 556*h**6*w**3 + 4*h**2*w**3 wrt h?\nAnswer: 1074*g*w - 66720*h**3*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3*(-2 + 0 + 1). What is the units digit of ((-9)\/(-6))\/(c\/14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2188 - 550?\nAnswer: 1538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13828551 and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = i, -4*y + 19 = 4*i + 3. Let r(p) = 4*p + 1. Let f be r(6). Calculate the highest common divisor of f and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37, -6, -115, -320, -651, -1138?\nAnswer: -1811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2362\/5 + 472. Which is the nearest to 7? (a) 2\/13 (b) -1\/8 (c) 2\/5 (d) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/19780 and 109\/1840?\nAnswer: 79120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = -4*p - 12, 208*p - 209*p + 2 = 2*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 316 = 954. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 - 3*o + 7)*(1 - 5 + 2) to the form u + w*o and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 21*((-58)\/(-580))\/((-3)\/(-2))?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 17*q - 27. Let a(v) = 4*v**2. Give x(a(u)).\nAnswer: 68*u**2 - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*v**3 - 2*v**3 - 2630*v + 2632*v + 21*v**2 in the form c*v**2 + q + i*v**3 + g*v and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 + 9*c**2 + 19*c. Let h be r(-3). Let b be 2\/3*(-18)\/24. What is the third smallest value in h, 11\/3, b?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9.69*-0.4.\nAnswer: -3.876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 17962236*p**5 + 36*p**2 + 371703*p?\nAnswer: 1077734160*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -29*p**2. Let i(q) = 16*q. Determine i(w(d)).\nAnswer: -464*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3.2 - -32. Let c = x + -84.6. Let j = c + 49. Round j to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5\/3 + -4\/3. Let c = -64565 + 64567. Factor z*p**c + 4\/3 - 4\/3*p.\nAnswer: (p - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00081351 rounded to 5 dps?\nAnswer: -0.00081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 591 and 197?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 58*i + 1568. Let l be m(-27). Let n(y) be the second derivative of 1\/3*y**3 - 3*y + 0 + 15\/2*y**l. What is the first derivative of n(q) wrt q?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (477\/27 - 18)*(0\/1 - -1)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) + -1*sqrt(104))*5 - sqrt(104))\/sqrt(8) - (5*(sqrt(468) + sqrt(52))\/sqrt(4))**2.\nAnswer: -5200 - sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 42*d**2 + 4*d + 3. Suppose 4*o = j + 50, -4 = -5*o + 6. Let t = -38 - j. Is l(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16227 + -7448. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 26 = -14. Suppose -6*c - x = -10*c. Solve -z + 4 = c for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 489443 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of n**5\/20 - n**4\/6 + n**3\/6 + 47*n**2\/2 + 2188*n. Give p(0).\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**3\/2 - 23*r**2\/4 - 55*r\/4 - 17\/2 = 0 for r.\nAnswer: -17\/2, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/2298 and -51\/1456?\nAnswer: 1672944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -5*l**3 - 8385*l**2 + 195390*l - 187000 = 0?\nAnswer: -1700, 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -51820435 - -51820446.5999894. Let s = z - 11.6. Round s to 6 dps.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.02 - 636.\nAnswer: -636.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -26836*q**3 - 609*q**2 + 9683856*q - 3.\nAnswer: -161016*q - 1218","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -218052.0000254013 - -218052. What is t rounded to 6 decimal places?\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.3 - 0.4. Sort 2, u, -2\/9, 4\/7 in increasing order.\nAnswer: -2\/9, u, 4\/7, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-6) + (651\/(-66))\/(-7)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(((g\/(g**(-2\/19)*g))\/g)\/g*g))\/(g*g\/g**(-4\/3)*g*g)*(g**(-1\/7))**17 assuming g is positive.\nAnswer: g**(-2341\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/10 + ((-5832)\/(-5))\/9 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 336277620 divided by 5\nAnswer: 67255524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74053815.\nAnswer: 3, 5, 11, 40801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 - 6*k**2 + 3*k - 6. What is the remainder when 71 is divided by f(6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 17.64108 decades to centuries.\nAnswer: 1.764108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -z + 1. Let t be 721\/(-5) - (-36)\/(-45). Let y = 142 + t. What is the closest to z in -2\/15, y, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 4\/6967?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2634270128749 + -0.042\nAnswer: 2634270128748.958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21784822 to the nearest integer?\nAnswer: 4667","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f**(2\/9))**(26\/3)*(f*f**(-3\/5))\/(f*f**(-7)) assuming f is positive.\nAnswer: f**(2294\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 23 - 19 = 0. Let r = 3 - 3. Solve r = -4*c + 2*k - 12, -2*c + 0*c - 4*k = -l for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 146, -365, -868, -1357, -1826?\nAnswer: -2269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 24 = 4*i. Suppose 2*k - 3*a - 2*a + 17 = 0, -2*k + 2*a = i. Does 21 divide k\/2 - 1397\/(-22)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -5, 3, -13, -1 in increasing order.\nAnswer: -13, -10, -5, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/6 + 27\/(810\/(-350)).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 110 - 105. Suppose -21 = -n*j - 6. What is the third derivative of -m**3 - 3*m**3 + m**3 - 8*m**2 - 5*m**j wrt m?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 983594 is divided by 11437?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 21, 36, 31, 0, -63, -164, -309, -504?\n\"Answer: -j**3 - 4*j**2 + 34*j - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -315315534*p + 489488848.\nAnswer: -315315534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of r**8\/336 + r**5\/6 - 7*r**2. What is the third derivative of l(y) wrt y?\nAnswer: 60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 22835?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**3 - 12*i**2 - 35*i - 36. Let d be k(-9). Suppose 3*b + 3*a = 132, 2*b + 0*a = a + 91. Let z = b - d. Is 2 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.09 - 4.91. Let q be 0 - 3\/(-1) - 110\/(-10). Sort -0.4, -3, q, f in increasing order.\nAnswer: f, -3, -0.4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 42 and 286\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 52\/10*((-360)\/(-252))\/((-4)\/(-7)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -3.8.\nAnswer: -11.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j + 26392 - 39*j**3 - 26392 - 3*j**2 to the form p + b*j + a*j**2 + u*j**3 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*56*17\/2448.\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5564.\nAnswer: 2, 13, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2423+0.1431\nAnswer: -2422.8569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from {h: 1, z: 5, a: 3}?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/5 (b) -443 (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1231380, 1231383, 1231386, 1231389?\n\"Answer: 3*m + 1231377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2840*j**2 + 16*j**3 - 2856*j**2 + 5696*j**2 - 15*j**3.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*i = -6*i - 5, 4*g + 5*i = 129. Solve 105*k + g = 2*a + 109*k, -4*k + 17 = -a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -5630*(0 - (-86496)\/15). Let x(i) = 5466207*i + 4. Let s be x(4). Let f = r + s. Round f to the nearest 1000000.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - 1. Let c be 1\/((y + 5)\/6). Let q be 1\/(-2)*c - -6. Solve 0 = -4*g - j + 1, q*g = -j + 6*j - 5 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9590 and 9590?\nAnswer: 9590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/7 + 1390696*b\/7 - 1390694\/7.\nAnswer: -2*(b - 695347)*(b - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-359 - -358)\/(1 - (-8)\/(-6))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -3*i**2 - 72*i + 156. Let v be r(-26). Solve -2*k - 2*n - 4 = v, k + 5*n + 5 = 11 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d - 145 + 2*d**2 - 16*d + 148. Let q = -119 + 129. What is the units digit of n(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(1\/3)\/(a**(-3)*a))\/(a**(-1\/2))**43)\/((((a\/((a*a\/((a*a*a**(2\/29)*a)\/a))\/a*a))\/a)\/a)\/(a**3*a))**(-16) assuming a is positive.\nAnswer: a**(-9581\/174)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -89 (base 10) to base 15.\nAnswer: -5e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4.489 and 3.\nAnswer: -1.489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 2222.\nAnswer: -3\/2222","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 37*c**4 + c**3 + 10*c**2 + 2*c - c + 17*c**2 wrt c.\nAnswer: 888*c + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 950 a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 165 - 1156\/7. Which is smaller: t or 1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -5, 3723.\nAnswer: -5, 2, 5, 3723","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 335313245 (base 6) to base 9.\nAnswer: 12483722","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of 2*d**2 - 3. Let f(c) = 115 + c - 115. Determine t(f(u)).\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -94*f**2 + 278*f - 172. Calculate u(7).\nAnswer: -2832","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4068916?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42\/(-60)*-9*11\/(-1386)?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -4\/9*u - 2\/9*u**3 - 1\/3*u**4 - 4\/3 + 7\/3*u**2 = 0?\nAnswer: -3, -2\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -757967 by -18487.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28723 is divided by 5625.\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4 + -1 + 108\/(-20))*520\/(-26). Solve 7*f - 55 = -l for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -0.2 (b) -1\/2 (c) 33 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -249924 divided by 59.\nAnswer: -4236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 25.5, -0.5, 49, 126?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23*m**5*s + 2*m**4*s + 33*m**2*s wrt m.\nAnswer: 1380*m**2*s + 48*m*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -3*d + 603, -2*d = -t - 528 + 122. Calculate the remainder when 534 is divided by d.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 575*v - 1410*v - 437*v + 134*v**2 + 15*v**2.\nAnswer: 149*v**2 - 1272*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 335\/6 (b) 3\/7 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.645439746 and -0.14.\nAnswer: 0.505439746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 265657 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v + 0*v - 2*v)*(-3*v + 6*v - v) + (-2 - 2*v + 2)*(38 - 38 - 24*v) + 3*v**2 + v**2 - v**2 + 8*v - 3*v**2 - 8*v.\nAnswer: 46*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 + 683?\nAnswer: 683.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7826362 and 8.\nAnswer: 31305448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 23857623 and 1692.\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c. Suppose 0*l = 2*l + 8, 4*j - 5*l = 52. Suppose 0 = -0*q - 4*q + j. Let y(v) = 5*v - 5*v - 2*v**q. Determine b(y(w)).\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(2\/93)*u*u**(2\/15))\/(u**(-20)*u**(-7\/5)) assuming u is positive.\nAnswer: u**(3651\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 12*d**2 - 18*d. Suppose 5 = -4*k - 3*x + 21, 2*k - 2 = -3*x. Calculate the remainder when v(3) is divided by k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 = -272*g + 274*g + 5*s, 8*g - 15 = 3*g - 2*s for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.073469 rounded to 2 decimal places?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 16919661 greater than or equal to 16919658?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 AM and 9:36 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -406 divided by -228015.\nAnswer: 406\/228015","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**3 - v - 5. Let c be o(-2). Solve 10 = -c*k + 5*g, -5*k - 2*g + 6 = g for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-18))\/((57\/(-4))\/19)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.5278 to one dp.\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**2 - 19*p + 25. What is the lowest common multiple of j(-19) and 35?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of -5*c**8\/336 + 2*c**7\/21 - c**6\/4 + c**5\/3 - 5*c**4\/24 + 11*c**2. Solve f(q) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 198, 405, 608, 807?\n\"Answer: -2*a**2 + 213*a - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhnhdshd. What is prob of sequence nh?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3133507, 3133506, 3133505, 3133504?\nAnswer: 3133503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -2*r - 5*r - 4*r + r. Let q(k) = -7*k. Let i = 3 - 8. Let p(w) = i*d(w) + 7*q(w). Let o(c) = 2*c**2. Calculate p(o(x)).\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 3\/5466898?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*t**4 + 6*t**5 - 168*t**2 + 3*t**5 - 5*t**5 + 52*t**4 + 160*t**3 + 0*t**3 - 164*t = 0.\nAnswer: -41, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in 336, -3, -6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g + 45 = c, 3*c - 43 = 204*g - 202*g for g.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 21 (base 10) to base 12\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -91.41497 - -1.46287. Let w = q + -0.0479. Which is greater: w or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 5*j**4 - 13750*j**3 - 882420*j**2 - 10380650*j + 120607375 = 0.\nAnswer: -35, 7, 2813","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*f - 2*f**2 - 4*f + 6*f**2)*(1 + 2*f + 2 + 0).\nAnswer: 8*f**3 + 14*f**2 + 3*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 32 = 5*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2649 from 1594938.4.\nAnswer: 1592289.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 878030 to the power of 1\/3, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 64703101 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**2 - 10*n - 16. Let j be q(-7). Let f be j\/((-25)\/2)*(-88 + -2). Let p = -37 + f. Which is bigger: 1\/24 or p?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*c**4 - c**4 + 0*c**4 + (2 - 2 - c**2)*(-4*c**2 + 4*c**2 - 2*c**2) - 4*c**4 + 218*c**2 - 219*c**2 - 5*c**4.\nAnswer: -8*c**4 - c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10210202 + -220002020?\nAnswer: -1000212222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-10)*(-15)\/(-6)*(-63080)\/(-415).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 17*w - 16*w**5 + 2*w**2 - 17*w + (4*w**4 - 4*w**4 - 4*w**5)*(13 + 2 - 1).\nAnswer: -72*w**5 + 2*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 26439194 to the power of 1\/2, to the nearest integer?\nAnswer: 5142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/(22\/(-8)*915\/(-61)))\/((-63)\/210)?\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhfhnnfffnnff. Give prob of sequence hh.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 - 10*s - 6. Let r be w(-10). Let k = -1 - r. Suppose j + 4 = k. Solve -4 - j = 5*f, -3*f = z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 93 (b) 1\/2 (c) -3 (d) -0.17 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -y - 16. Let o be k(-19). Let w = -1 - -7. Solve 3 = -r - p, 10 = -o*r + 4*p - w for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2859 - -5132. Does 9 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -5*j + 3*s, 0*j + 5*j = -s + 18. Suppose -2*i = 4*d - 102, j*i = 5*d - 0*d + 165. Is i a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3292.858ms to microseconds.\nAnswer: 3292858","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1138 + -6 + 19 + -10. Which is bigger: v or 3422\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by -410.\nAnswer: 4\/205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29 - 22367*o**3 + 2*o - 2*o**2 + 4*o**2 + 6*o**4 - 36 + 22370*o**3 - 11*o**4 to u*o + r*o**4 + d*o**3 + a + b*o**2 and give a.\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*v - 98 + 44 + 54.\nAnswer: -9*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2775, -5560, -8347, -11136?\nAnswer: -13927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 43, 4, 0, -7, -1 in increasing order.\nAnswer: -7, -1, 0, 4, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23546304 (base 7) to base 10.\nAnswer: 2095881","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20 + -13. Let q be ((-6)\/18)\/(2\/(-24)). Suppose -3*h - 3*s - 15 = 0, -q*s - 7 - 6 = -3*h. Put o, h, 4 in ascending order.\nAnswer: h, 4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/9 (b) -53.5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 40*h - 14*h - 44876. List the prime factors of h.\nAnswer: 2, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 13) to base 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 34404048 and 614358.\nAnswer: 34404048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*p - 90 = 8*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the first derivative of -20 - 62*r - 85\/2*r**2. What is the first derivative of l(g) wrt g?\nAnswer: -85","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*a - 3*t + 7, -5*a - 81*t - 26 = -80*t for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 149, 5, -42.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j - 1. Let a(g) = 166*g - 30. Let r(w) = -47*w + 9. Let v(d) = -2*a(d) - 7*r(d). Calculate 2*t(q) - v(q).\nAnswer: q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - -108?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 40 - 38. Let y(j) = j**2 - 2*j + 4. Let h be y(4). Suppose -d + 27 = -5*s, -4*s + 7 = -d + 29. Solve -d*l - x*g = 0, -2*g = l - 7*g + h for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10.5 - 0.5. Let t = 127 + -116. Let w = c - t. What is the nearest to w in 1\/4, -0.4, 0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2 = 5. Suppose -w + 119 = -4*u, -u - 1 - m = 0. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 4\/7, 6955, 3, -2\/29?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(5 + (sqrt(304))**2 + sqrt(19) + 5).\nAnswer: 2*sqrt(19) + 628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -22*v. Suppose -3*m + 20 = 2*w, -2*m + 16 = -2*w + 6*w. Let a(b) = b + m*b - 4*b. What is a(f(j))?\nAnswer: -66*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(17) + sqrt(2057) + sqrt(2057) + -1 + sqrt(2057) + (1*(sqrt(17) - sqrt(612)) - sqrt(17)))**2 - -5*(sqrt(85)\/(-1*sqrt(5)) - (4 + sqrt(17)*1)).\nAnswer: -26678 + 102*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -13*v**2 + 16*v + 53. Let u(p) = -14*p**2 + 19*p + 52. Let l(o) = -6*t(o) + 5*u(o). What are the prime factors of l(7)?\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 27*q - 154. Let i be h(7). Is 5\/((-15)\/i - 5952\/(-13839)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (118\/177)\/(5 + (-1204)\/210)\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2116*r - 61374. Give u(-29).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 6*h - 7. Let j(m) = m + 8. Let a be j(-5). Let q be o(a). Let n(w) = -w**2 - 8 - 3 + q. Let d(k) = -k**2. Determine n(d(l)).\nAnswer: -l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3371 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 25451952 to the nearest integer?\nAnswer: 294","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 28073 - 29331.05. Let i = o - -1258. Let d = 2 - 1.9. Which is the closest to d? (a) 3\/2 (b) i (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 3164.279 centuries?\nAnswer: 316.4279","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 721 + 13?\nAnswer: 734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 PM and 6:37 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-12)*36\/40\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 45 + 18. Suppose -3*c + n + d = 4*n, -129 = -5*c + n. Does 7 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p. Let r be i(-4). Suppose r*z - 28 = 2*z. List the prime factors of z\/8 - 4\/(-16).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/12)\/n*n**(2\/23)\/n)**(3\/7) assuming n is positive.\nAnswer: n**(-505\/644)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*x + 0*x + 3*x + (x + x + 0*x)*(4 - 4 + 1))*(0*x + 2*x - 10*x)*(-2*x + 4*x - x) as o*x**2 + w + b*x**3 + k*x and give b.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 32075891 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 310 and 3567380.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 101*m**4 - m**5 - 101*m**4)*(-2 + 0 + 1 - 1 + 4 - 2 + (-1 + 6 - 4)*(0 + 1 - 2) - 26 + 45 + 68) - m**2 + m**2 + 2*m**5.\nAnswer: -84*m**5 + 86","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8689447*z - 6*z**2 + 8689590*z + 3*z**2)*(-4*z**2 + z**2 + 0*z**2).\nAnswer: 9*z**4 - 429*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 6*b + 48. Let d = -3 - b. What is the derivative of 3*t**3 - 24 + d + 10 wrt t?\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 12 - 50 = t, -t - 71 = -2*r. Which is greater: t or -64?\nAnswer: -64","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 68 - 66. Suppose -75 + 97 = s*n. What is the remainder when 48 is divided by n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50 (base 14) to base 3.\nAnswer: 2121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 112.3 + -103. Let p = c - 9.251. Let y = p + -0.107. What is y rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 6*p**2. Let k(d) = -d**2 + 3*d + 31. Let v be k(0). Let x(n) = -1 + 1 + v*n - 30*n. What is x(z(i))?\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 15794 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(20)*-1)\/(sqrt(180)\/sqrt(5)) - (-3 + (1 + sqrt(5))*-5 - ((1*sqrt(210))\/sqrt(6))\/sqrt(7)).\nAnswer: 8 + 16*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 59615 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1858*y + 1856*y = 14 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13 - 10. Suppose -d = -a*l + 114, 3*d = 5*l - 240 + 54. What are the prime factors of l?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 16190, 32412, 48634, 64856?\n\"Answer: 16222*i - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*h - 179979 = 182026 - 144933. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 20*o - 161 + 161 as d*o + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 194460 to the nearest integer?\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 547? (a) -1\/3 (b) 2\/5 (c) -1\/7 (d) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -125*t**4*z - 7*t**4 - t**3*z - 1365*t**3 - 54106150*t**2*z wrt t?\nAnswer: -3000*t*z - 168*t - 6*z - 8190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22\/5 at least 20051?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 AM and 9:08 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-3) - (-6)\/((-270)\/33)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -21*a - 15. Let s be l(0). Let g(b) = b**2 + 21*b + 131. Let o be g(s). What is the greatest common divisor of 533 and o?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*m - 33*m + 6*m - 68*m.\nAnswer: -80*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 - v**2 - 5*v + 2. Let c = 38 + -35. Determine b(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1290\/(-100) - (76\/(-40) - -2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -311 = -q - 90. Let k = -122 + q. What are the prime factors of k?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -37 and 234 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*u**3 - 2*u**3 - u**3.\nAnswer: -13*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-19 - -704)*(1 + -2). Let v = k + 716. Calculate the remainder when v is divided by (-4)\/(-3)*(11 - -1).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*v**3 + 3*v**2 - 14700*v - 3675.\nAnswer: 3*(v - 35)*(v + 35)*(4*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (303 + -305)\/((-2)\/9713)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 212103022 (base 4) to base 11.\nAnswer: a7953","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aeeeueou. What is prob of sequence eu?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1346630 rounded to the nearest one thousand?\nAnswer: 1347000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11350520 + -2?\nAnswer: -11350522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 27161.04 * 0.4.\nAnswer: 10864.416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 58*r + 1563. Suppose -65 = -2*y + 59. What is the remainder when n(-25) is divided by y?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 5*r**3 + 2*r**2 - 3*r + 27. Calculate t(5).\nAnswer: 687","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 264057?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 975\/130*(-1 - -2 - -1).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + -4 + -4 - -3) + 23?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 7*k**2 + 730*k + 3659. Determine b(-99).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*b - 2*b + b + 4*b - 2*b - 3*b + (-5 + 6 - 9)*(-b + 0*b + 0*b) + (2 + 0 - 1)*(3*b - 2*b + b) as r*b + c and give r.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 763 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12)\/8 - (-7)\/2. Solve -3*q + 4 = v*s, -q + 3*s + 4 = s for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.21 + 0.22. Sort 4, -4, s in ascending order.\nAnswer: -4, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -282, -570, -858?\n\"Answer: -288*g + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -546, -1093, -1640, -2187, -2734, -3281?\n\"Answer: -547*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 - 11*r**2 + 2*r + 34. What is the least common multiple of z(11) and 112?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4 + -3 + 129 + 1 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -4*x - 99. Let t(z) = -z**3 + 2*z**2 + 25*z - 76. Let f be t(5). Let r be y(f). Solve -12*w + 7*w - r = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 512231 (base 8) to base 16.\nAnswer: 29499","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2480139 or 2480140?\nAnswer: 2480140","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-30)\/275)\/(-1))\/((-3)\/10).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -377 divided by 3418\nAnswer: -377\/3418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/5))**(-2\/55)*i**16\/i**(-12) assuming i is positive.\nAnswer: i**(7696\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129 is divided by 28?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 41\/35 + -3\/5. Which is the second biggest value? (a) 0.2 (b) y (c) 4 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + -21314?\nAnswer: -21312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -3*p + 18. Suppose 0 = 12*h - 15*h + 27. Let w be m(h). Is w at least as big as 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 1 - 163 = 0. Let o = l - 45. Suppose o*t - 112 = t. What is the greatest common factor of 126 and t?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x + 5 = 4*x. Let d be -4 + x\/1 + -83095. What is d rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 - 23. Let n = -3 - i. Let x = n - 4.5. Which is the second smallest value? (a) x (b) -3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55492.\nAnswer: 2, 13873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98591290?\nAnswer: 2, 5, 7, 157, 8971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -4, 21, 76, 173, 324, 541?\nAnswer: 836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -609 divided by 45\nAnswer: -203\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, -2, 47, 1.28, -5\/4 in descending order.\nAnswer: 47, 5, 1.28, -1, -5\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3d8 (base 14) to base 11.\nAnswer: -648","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -133937501 less than or equal to -133937500?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 145912, 583650, 1313210, 2334592?\n\"Answer: 145911*b**2 + 5*b - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 428750391 to the power of 1\/2, to the nearest integer?\nAnswer: 20706","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do 26127 and 26126 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.9, 2, -0.4, -1\/9, 0.23 in descending order.\nAnswer: 2, 0.23, -1\/9, -0.4, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes before 6:05 PM?\nAnswer: 6:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 a factor of 91475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 1613\/14 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 600\/(-400)*1032\/(-36).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1800)\/1200)\/((-14)\/12).\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -42.7 - 0.028996.\nAnswer: -42.728996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -4. Let o = 1.46 + 0.44. Let x = o - 2. Which is the second biggest value? (a) j (b) -0.2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 76 = -6*g. Let u(s) = -s**3 + 11*s**2 + 13*s - 7. Let n be u(g). Suppose -n*h - 156 = -561. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/(-4))\/((-38)\/(-380)). Solve m - 25 = -k*g, 23 - 13 = 2*g - 3*m for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 690.462 + -688.462. Let n = -0.2 - -0.7. Which is the closest to k? (a) 26 (b) 0.3 (c) n (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -236 (b) 2\/19 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13705.\nAnswer: 5, 2741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35*x - 17*x + 70*x + 4*x - 2*x - 4*x + 3*x + 0*x - 2*x + (-1 - 1 + 0)*(-5*x + x + 3*x) - 2*x + 1 - 1 to o + d*x and give d.\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 124 and 6386?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1345873?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/((-1)\/(-2)) + 0. What is the third derivative of -5*c**5 + 0*c**5 + 56*c**z - 61*c**2 wrt c?\nAnswer: -300*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -5*a**3 - 24*a**2 - 30*a + 35. Is c(-18) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2413, 5.\nAnswer: 0, 5, 2413","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00026922737 to six decimal places.\nAnswer: -0.000269","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 8 + 8 + g - 11. Let d be p(3). Solve 3*t - d = t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6197*h**3 - 7226*h**3 - 19956*h**3.\nAnswer: -33379*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + -1 + (64 - 53).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-42)\/6)\/(-105)*(-14)\/(6174\/21)*-21\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of -g**7\/42 - 5*g**6\/24 + 43*g**5\/12 - 335*g**4\/24 + 25*g**3 - 438*g**2. Solve j(d) = 0 for d.\nAnswer: -10, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 5*k = 16, -5*a + 21 + 0 = -4*k. What is the second biggest value in 0.8, -43, -0.4, a?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -5 (c) 0.24 (d) -19 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-60)\/(-8)*80\/400.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0467198 to three dps.\nAnswer: -0.047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 53775400?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -11, 1, 0.24, 6?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -134\/3 + 136\/3. Find s, given that f*s**3 - 4\/3*s**2 + 0 + 2\/3*s = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1156636992?\nAnswer: 2, 3, 7, 860593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 20 = 5*d, -2*f - 4*d = f - 5 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*b - 290 + 282 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**3 + 10*r**2 - 18*r + 18. Let u be a(8). Solve u*j = -j - 12 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of -1\/6*r**3 + 4 + 0*r**4 + 2*r**2 - 7\/30*r**5 + 0*r. Determine q(1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (18 + 2)\/(-5) - -11. Suppose 8*n - 8 = z*n. Suppose 4*x - n = -3*l, 4*x = -0*l - l + 16. Solve 2*y - 8 = -b, -x*b - 14 + 38 = 2*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.429 + -0.001. Let x = n + -0.07. Which is the third smallest value? (a) -5 (b) 2\/3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -114\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 - -14. What is the derivative of 9 - 4 - 1 - 3*q**u wrt q?\nAnswer: -12*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (133 + 17 - 36)*(52*f**2 - 13*f**2 + 2*f + 0*f).\nAnswer: 4446*f**2 + 228*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -4*a**2 - 7*a. Let j(y) = -y**2 - y - 1. Let u(n) = 3*j(n) - t(n). Suppose 8*r + 16 = 12*r. Suppose -r*d = 19 + 5. What is u(d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -7*f**2 - 3*f + 6. Let k = 1104 - 1110. Let p(g) = -g**2 + 1. Give k*p(w) + n(w).\nAnswer: -w**2 - 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67 = 18*n + 193 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 63 + -245. Let b = 182 + z. Which is bigger: -29 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*y**3 + 92*y**3 + 172593*y**2 - 172593*y**2 + 76*y**3.\nAnswer: 183*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -u + 11. Suppose -u = -4*w - w. Is w a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -379702, -379734, -379742, -379720, -379662, -379562?\n\"Answer: q**3 + 6*q**2 - 57*q - 379652","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4641 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3089093 a multiple of 266?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11 (base 8) to base 15.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.27144 - 0.3.\nAnswer: -0.02856","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 696 + 707 + a + 2*a**2 - 1416. List the prime factors of i(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 9 = -5*h. Suppose s - 17 = -h*i - i, -s + 29 = 5*i. Suppose g - i = -k - g, g = 2. Solve 0 = k*u - 4*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12538539 (base 10) to base 6\nAnswer: 1124424443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrdgdg. What is prob of picking 2 d?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((242\/(-33))\/11)\/(2\/(-48)*1)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1026175?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4293567 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-2 + sqrt(475) + sqrt(475) + 5))**2*4.\nAnswer: 3840*sqrt(19) + 122176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/2, 912, 5?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1758 + -1757.7246. Let z = j - 0.27. Round z to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -194 + 230. Let x(v) = 115*v - 122. What is the smallest common multiple of r and x(2)?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 44, 7, 4 in increasing order.\nAnswer: 4, 7, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18 - -36. Suppose 2*h = -3 - 1, 4*d - h = l. Solve -25 = -d*g - 9 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 80 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -257479 - -27505919?\nAnswer: 27248440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 23*l**2 - 10*l - 2. Let x(g) = -g**3 + 19*g**2 - 58*g - 33. Let o be x(15). What is the remainder when d(o) is divided by 22?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 120 = 2*c - 0*i, 110 = 2*c + 4*i. Let r = 105 - c. Suppose -20 = -3*s + r. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4618206*d**4 + 453381543*d + 2.\nAnswer: 55418472*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 283619831 to the power of 1\/3, to the nearest integer?\nAnswer: 657","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - -2206806?\nAnswer: 2206806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 56315050031 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 3 = -0. Let k(q) = -q**3 - 3*q + d*q + 4*q**2 + 7*q. What is k(5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.32 and 0.0217.\nAnswer: -0.2983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 59767080 and 2256.\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -38\/1457 and 28\/279?\nAnswer: 13113","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u**5\/4 + 8008865*u**4\/2 + 32070959294111*u**3\/2 - 12013298*u**2 - 192425787800135*u\/4 - 64141918588225\/2 = 0. Calculate u.\nAnswer: -8008865, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1286.306*1.\nAnswer: 1286.306","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3317 divided by -31.\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, j: 4}. What is prob of picking 3 j?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Are -1057852 and 2\/3 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(1008)*5*-3.\nAnswer: -180*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 + -5. Let k(r) = r + 6. Let d be k(-4). Suppose 0*b + 4*n = d*b, 0 = -5*n + m. Solve 4*x + 18 = b for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-164*x + 384*x - 98*x)*(-4*x + 2*x + 3*x)*(5 + 4 + 3) as o*x + w + r*x**2 and give r.\nAnswer: 1464","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -7*b**2 - b. Let q(t) be the third derivative of t**5\/60 - t**4\/24 + t**3\/6 - 12*t**2. Let f(i) = -o(i) - 4*q(i). List the prime factors of f(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 823 + -530. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -1\/1174510?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -104, -19, 0, 12, 110 in decreasing order.\nAnswer: 110, 12, 0, -19, -104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.09, 94, -7\/4, 0.0131?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 94321?\nAnswer: 94321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 8:21 PM?\nAnswer: 11:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 630 and 92613780?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that 2*k**4\/9 - 440*k**3\/3 + 81464*k**2\/3 - 14460928*k\/9 + 26083328\/3 = 0.\nAnswer: 6, 128, 398","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from afxffafofpyyp. What is prob of picking 1 x and 2 p?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -865*u - 132 = -871*u. Suppose 3*b + 114 = u*b. What is the remainder when 27 is divided by b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19021 is divided by 680?\nAnswer: 661","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**3 - 16*t - 6*t**2 + 8 + 16*t. Let c be j(-6). Suppose -c*p - 519 + 5887 = 0. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 9:21 AM?\nAnswer: 10:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25172165 (base 8) to base 9.\nAnswer: 11425277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/2 (b) -4 (c) 4 (d) -30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 7:21 AM?\nAnswer: 1:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.03, -5, 0.6?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-803)\/(-511) + 6\/14\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19 - 15. Suppose -20 = -5*q, 5*x = -i*q - 0*q + 6. Put -5, x, 0 in descending order.\nAnswer: 0, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.265 and -0.0234.\nAnswer: 0.029601","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 + 12. Suppose 2*n - 2*b = 4, 2*b + 2 = -k. Let t(j) = -4*j + n*j - 1 + 5*j. Calculate t(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 - (-1277 + -1 + 4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 2*x - 7. Let a be z(6). Suppose -2*p + 144 = -v - 3*v, 0 = -5*p + a*v + 380. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21222930 is divided by 271.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*h = 27*h + 16. Let y(k) = -4*k - 5. Let c(f) = 4*f + 6. Give h*c(l) + 5*y(l).\nAnswer: -4*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(99)\/sqrt(9) + -3.\nAnswer: -1 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (20\/16)\/((-13)\/13)\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 7*k = 6*k + 11, 5*k - 28 = -o. Suppose o*r = -2*j + 18, 2*j = 5*j + 4*r - 27. Solve 15*x - 6 = j*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -3*i**3 + 5*i**2 - 2. Suppose -8 = -3*m - m. Suppose -2*c + m = -4. Let b(s) = -s**2 + 2*s**3 + 1 + 3*s**2 - 5*s**2. Give c*t(h) + 5*b(h).\nAnswer: h**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*l**2 + 55*l**2 - 27*l**2.\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 202813 minus -45?\nAnswer: 202858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 362594500.\nAnswer: 2, 5, 725189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96576094122*n**2 + 96576094122*n**2 - 27 + 2*n**3.\nAnswer: 2*n**3 - 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x - 33 + 3. Suppose 0 = -b - 5*k + 25, 5*k + 5 = b + x. Solve o - 4*o + 6 = b for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/20 of a day?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 0 = -6. Factor 0*h**3 + 0*h - 5*h**3 + 2*h**3 - z*h**2 - 3*h.\nAnswer: -3*h*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 + 12 + -5 + 0. Is 799 - a*(-2 + 1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 48*60\/((-120)\/(-12))*106\/24.\nAnswer: 1272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2835 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the second derivative of y**4\/4 - 25*y**3 - 1116*y**2 + 6*y + 2. Factor p(t).\nAnswer: 3*(t - 62)*(t + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -9, 1, -4, 11 in increasing order.\nAnswer: -9, -4, 1, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 2253, 0, -13, -1, 2\/9, 2, -5 in ascending order.\nAnswer: -13, -5, -1, 0, 2\/9, 2, 2253","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -68335 - 81?\nAnswer: -68426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6.2 - 9.2. Let q = 0.08 + 0.02. Let u = -20.5 - -21. What is the second biggest value in u, b, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 180088039?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 - 25*n + 7. Suppose -56*u - 23 = -1423. Calculate m(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -71*a**2 - 263*a + 486. What is x(-5)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l**2\/3 - 67566004*l\/3 - 570645612066002\/3 = 0. What is l?\nAnswer: -16891501","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 - -7) + -1 + 2. Let a(u) = -u**3 + 5*u**2 + 7*u + 18. Calculate the remainder when 46 is divided by a(k).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 134 + -94. Suppose -4*t = -89 + 25. Calculate the highest common factor of v and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 34*f**2 - 5*f + 10. What is the units digit of p(2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13004100 (base 5) to base 12.\nAnswer: 60785","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3.8, -1\/5, -2207, 0.5, -3, -5\/2, -0.3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4830784?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 176 = 5*c - 184. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -4*a. Give c(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 5. Suppose q*t + 78 = -34. Calculate the common denominator of (-2)\/(-7) + 1150\/t and 109\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1488 and -964 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (8470\/121)\/((-10)\/(-12))?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2314 - 26*g**2 + 5*g**3 + 0*g**3 - 650*g + 3834 + 0*g**2 - 39*g**2.\nAnswer: 5*(g - 19)*(g - 2)*(g + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of 0 + q**2 - 1\/12*q**4 + 0*q + 0*q**3. Let f(m) be the third derivative of -m**5\/60 + m**2. Calculate f(g(i)).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-1206)\/(-469))\/(9\/45066) is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/27)\/((-9)\/((-45)\/(-20)))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 4*z + 336, 59*z = 4*s + 61*z - 1416. Does 22 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*b**3 + 23*b**3 + 15*b**3.\nAnswer: 59*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 35317831 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 + t**2 + 3*t + 63. Let n(v) = -2*v**3 + 13*v**2 - 6*v. Let f = -17 + 23. Let m be n(f). Calculate the remainder when c(m) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z + 1. Let g(o) = -1 - o**3 - 4*o**2 + 5*o**2 + 2*o**3. Let b(v) = 2*v**2 - v. Let r be b(1). Let f be g(r). Give a(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -790.5793 + -0.3207. Let o = 826.97 + v. Round o to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -339 divided by -227747\nAnswer: 339\/227747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 67 - 64. Which is the fourth smallest value? (a) 0.4 (b) 2 (c) u (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 3) to base 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 - 6*f**2 + 6*f - 5. Let v be k(5). Suppose t + v*t - 2 = 0. Suppose 7*z = t*z + 45. What is the remainder when 16 is divided by z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -4*i + 47, x + 63 = 5*i - x. Let s = 112 - 108. What is the remainder when i is divided by s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 9*l**2 + 6*l - 3. Let g = -27 + 24. Let f be u(g). Let b = f - 27. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.31, -0.2, -14, 5, 190.\nAnswer: -14, -0.31, -0.2, 5, 190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -783, -899, -1011, -1119?\n\"Answer: 2*y**2 - 122*y - 663","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 + -24 + 24 + 58?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2\/1349 + -6789\/29678. Find the common denominator of k and -11\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1441 = 9*p - 4*p + 2*b, 3*p - 4*b - 875 = 0. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of 2*l**4 + 7*l**4 - 11*l**4 - 9 + 9*l. What is the first derivative of q(j) wrt j?\nAnswer: -24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33973.9988 - 33968. Let o = h - 6. Round o to 3 dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -s*v**4 - s*v - 983*s - 43*v**2 wrt v.\nAnswer: -4*s*v**3 - s - 86*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10 - 7. Suppose -3*h = 4*c - 2*h + 2, -3*c + f*h = -6. Let -1\/3*g**2 + c - 1\/3*g**3 + 0*g = 0. What is g?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1665.39 times 1?\nAnswer: -1665.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vx when two letters picked without replacement from vvvxkxxxkvxv?\nAnswer: 25\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 242 is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -423 + 437. Let w(b) = 23*b - 187. Is w(o) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1185?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x*x**18*x)**(-3\/4))**(-21) assuming x is positive.\nAnswer: x**(693\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**3 + 17*y + 64 + 2*y**2 + 9*y**2 + 63*y + 6*y**2 = 0.\nAnswer: -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 3*i. Let l = -210 + 564. Let c(j) = -356 - l + 710 + 49*j + 13*j. Calculate c(y(s)).\nAnswer: 186*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1004 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -417383323695 + 417383323695 + 4*w**2.\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51*504\/(-52360) - ((-8)\/(-22))\/4.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 4*i**4\/3 - 92*i**3\/3 + 99*i**2 + 972*i = 0.\nAnswer: -4, 0, 27\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*f**4 - 6*f**3*i - 4*f**3 - 3795*f**2 - 2*f*i wrt f.\nAnswer: -48*f - 36*i - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -486, -1932, -4336, -7692, -11994, -17236?\n\"Answer: i**3 - 485*i**2 + 2*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o**4 - 13 + 4*o - 137*o**2 + 13*o**2 + o**3 + 125*o**2 + 2*o**4 to g*o + r*o**3 + z*o**2 + w*o**4 + i and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**2 + 0*q**2 + 0*q**2. Let v(j) be the second derivative of -j**5\/30 - j**3\/2 + 8*j. Let y(a) be the second derivative of v(a). What is g(y(z))?\nAnswer: -16*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 72*w**4 + 1646*w**3 - 8*w**2 + 1521*w - 1 wrt w?\nAnswer: 1728*w + 9876","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 - 126*n**2 + 315*n - 123. Determine i(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 1 = -3*r - 0*y, -3*y = -4*r - 43. Let u(h) = -h**3 - 5*h**2 + 9*h - 2. What is the tens digit of u(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -73, -8, 1, -5 in descending order.\nAnswer: 1, -5, -8, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*m = -11*m + 8. Let d be (-2)\/(-7)*((-76)\/12 - m). Is d bigger than -55?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-616)\/(-42)*2\/(240\/(-270)).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g. Let y(q) = q - 104. Let h(t) = -5*r(t) - y(t). Let j be h(-10). Let z be 2\/(-6) + 2\/(-12). Which is the nearest to z? (a) j (b) -4 (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109057 is divided by 54524?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 14 - 12. Suppose 3*y + 34 = -5*q, y - r*y = 3. Calculate the common denominator of 28\/(-8)*4\/q and -50\/9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (1 - 4 - (2 - 6)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -102.02 - -100.02. Which is the closest to f? (a) -1.3 (b) 8 (c) -5 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) - -1*sqrt(171)*-2)\/((sqrt(9) - (sqrt(9) + (sqrt(144) - sqrt(9))))*-5) + ((sqrt(1900) + 3 + 2)**2 - (-3*1*sqrt(1900))**2).\nAnswer: -15175 + 1499*sqrt(19)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -280 (base 12) to base 4.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(9)\/sqrt(3) + 2)**2 + sqrt(27)\/(sqrt(63)\/sqrt(7)) + 1.\nAnswer: 5*sqrt(3) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 448592?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 47003 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10885 + 6*v - 93*v**4 - 10885 wrt v.\nAnswer: -1116*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 678?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*r + 84 = -12. Calculate the highest common factor of r and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 614 + 651 + 7*l - 3*l - 1265.\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from lllvlllvlllv.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**2 + 4*i - 4*i)*(12 - 12 - 6*i) - 6*i**3 + 0*i**3 + 3*i**3 + (0 + 1 - 3)*(-3*i**3 + 0*i**2 + 0*i**2) - 5*i**3 + 3*i**3 + i**3.\nAnswer: 8*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 + k**2 - 19*k - 7. What is v(6)?\nAnswer: -301","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -5*p + 5*a, -10 = -2*p - p + 2*a. Suppose -f + 5*m + 41 = 0, p*f - 5*m = -5*f + 305. What are the prime factors of f?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 2 = -4. Suppose k*o - 6*o = -16. Calculate the remainder when o is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5\/(-5))\/(3\/42). Let t = -7 - v. Solve -5*j + 5*l + 14 = -21, 2*j = -5*l - t for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/9, 2\/11, 0, -24030.\nAnswer: -24030, 0, 2\/11, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -606004*v + 1212005*v - 606004*v + 688587 - 688587.\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-35)\/63*18\/(-30)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 PM and 9:56 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(2\/59)*k*(k*k**(-12)*k)\/k*k*k*k\/(k*k**(-2\/29)*k)*k**(-2\/31) assuming k is positive.\nAnswer: k**(-475335\/53041)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 288233 - -4?\nAnswer: 288237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -183.79 - -1.41.\nAnswer: -182.38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 86.83 + -0.83. Let t = 92.8 - d. Let g = 0.8 - t. Which is the third biggest value? (a) -1\/3 (b) 0.2 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b - 12. Let x(s) = -2*s + 13. Let u(n) = 4*w(n) + 3*x(n). Let g be u(-6). Let t(d) = -d**2 - d + 2. Let k be t(-2). Solve k = -q - g*q + 12 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j = -13*j + 220. Calculate the highest common divisor of 330 and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 43 - 7 = 0. Suppose -6 = 2*m - 3*n + 44, -143 = 5*m - 3*n. Let z = m + 36. What is the remainder when x is divided by z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -30985 + 30980. Suppose -4 = 2*s + 2. Let j(r) be the first derivative of r**2\/2 + 5*r + 2. Let u(g) = -2*g - 9. Give m*j(h) + s*u(h).\nAnswer: h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u**2 - 3*u**2 - 3*u**2 + 22*u - 7*u to the form r + w*u + z*u**2 and give z.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + 35 - (17 + 12 + -14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-2)*60\/40.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 + 19*a**2 + 2*a - 19. Let x be g(19). Suppose x*l - 15*l = 0. Solve q - 13 + 11 = l for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 6*s + s**3 - 35449*s**2 - 2*s**3 - 9 + 35449*s**2. What is the hundreds digit of v(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 897?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a litre in millilitres?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 7, n: 9}. What is prob of picking 3 n?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 - 6. Let k be r(-3). Solve k*p + 3 = -3 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7795, 2, 4 in descending order.\nAnswer: 4, 2, -7795","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(204)*1)\/(sqrt(108)*-2 + sqrt(108)) - (sqrt(204)*6)\/(sqrt(15)\/(sqrt(10)\/sqrt(2))).\nAnswer: -38*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -5 - -12e73b?\nAnswer: 12e736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1000143, 4000552, 9001233, 16002186, 25003411, 36004908, 49006677?\n\"Answer: 1000136*u**2 + u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*u = -50*u - 66*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 2*t - 37 = 0, 5*i - 70 = t + 9. Let k be 8\/(-40) + (-52049997)\/i. What is k rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((12\/238)\/((-132)\/(-231)))\/((-10)\/40).\nAnswer: -6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:41 PM and 6:21 PM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8673 and 1176?\nAnswer: 69384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60 + 77*k**2 - 91 + 241 - 92.\nAnswer: 77*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -s - 58, -4*x - 4*s + 57 = -175. What is the highest common divisor of 87 and x?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 329120871 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9 - (0 + 3 - 1). Let v = k - 3. Suppose -r + 2*r - v = 0. What is the second smallest value in -5, r, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a5 + -1?\nAnswer: -a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 507 and 113061.\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 143 + -58. Let s = b - 20. Calculate the remainder when s is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24)\/(-288) - (-70)\/24?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -242.8?\nAnswer: -1214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -8*y - 18 + 18 - 10*y + 14*y. Suppose -5*j + 11 = -2*u, 5*j - 5 = 3*u + 2*u. Let o(q) = -q**u + 0*q**2 + 0 + 0. Determine o(n(k)).\nAnswer: -16*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lebk when four letters picked without replacement from {l: 2, b: 1, e: 2, k: 1, s: 4, q: 5}.\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -2, 4, -516\/7, 2\/5 in decreasing order.\nAnswer: 4, 2\/5, -2, -5, -516\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 230 = -4*w, -3*w = 2*x - 5*w - 94. Suppose 0 = -x*y + 44*y. Let u = 40\/51 + -767\/1173. Which is greater: y or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*d**2 - d + d)*(-42 + 995 + 1037 - 267).\nAnswer: -10338*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y = -93*l + 91*l - 1198, l = -y + 146. What is the remainder when y is divided by 29?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84132 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 7) in base 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -646, -637, -626, -613, -598, -581, -562?\n\"Answer: a**2 + 6*a - 653","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(-23))\/b*b)\/(b*b\/(b\/b**(2\/27))))\/((b*b*(b\/(((b\/(b\/b**(-25)))\/b)\/b*b)*b)\/b)\/(b**(-2\/21)*b)) assuming b is positive.\nAnswer: b**(-9671\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4193*n + 1405 + 4050*n - 1407.\nAnswer: -143*n - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 PM and 3:18 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(30\/(-4)))\/(338\/6760)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 689237519 to the power of 1\/4, to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -177, -1390, -4717, -11220, -21961?\nAnswer: -38002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of -s**4\/12 + s. Let t(y) be the second derivative of y**4\/6 + 3*y. What is z(t(x))?\nAnswer: -4*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 PM and 4:21 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4766 + 4797.952. Let g = r + -32. Round g to two dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, q: 2, f: 6, r: 4, a: 1}. Give prob of sequence ar.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = -3*r, 3*g + 12 - 9 = 4*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -87\/5384 and -62\/39.\nAnswer: 209976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hamaaavajmvmajm. What is prob of picking 1 m, 1 h, 1 j, and 1 v?\nAnswer: 16\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -140*w - 317. Calculate the remainder when b(-23) is divided by 83.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a\/a**11)*a*a**(2\/47))\/(a*a\/(a\/(a**(-1\/2)*a)*a*a)*a*a*a)**(-24) assuming a is positive.\nAnswer: a**(3386\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -24912367, -24912362, -24912357?\n\"Answer: 5*i - 24912372","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8437776 and 456?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 92 = 3*d. Calculate the remainder when d is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 6 - 1 = 0. Suppose m - 14 = -86*r + 91*r, -m + 4*r = -11. Sort n, 5, m in decreasing order.\nAnswer: 5, m, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.062139 and 2.223?\nAnswer: 2.160861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*j**2 - 25*j**2 - 1 + 3 to the form r*j**2 + o + b*j and give r.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -3*g - 4*o, o - 17 - 12 = -4*g. Suppose -8*s = -g*s - 118. What are the prime factors of s?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**3 - 8*x + 22. Let f be z(3). Solve 0 = f*o - 21*o - 8 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9987365 and 125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -357 (b) -2 (c) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5.5 (b) 0 (c) 2 (d) 3868 (e) -4 (f) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5542 - -0.2?\nAnswer: 5542.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 14 = 6. Let p be a\/(-3) - (-2)\/(-3). Is -2\/21 at most p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.030778 millilitres to litres.\nAnswer: 0.006030778","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - l - l - 6827, 0 = 3*u - 5*l + 6862. Let n = 1674 - u. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, 4, -4 in decreasing order.\nAnswer: 13, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a minute in seconds?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 148593 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*f**2 + 14*f**3 + 64*f**2 - 33*f**2.\nAnswer: 14*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n**2 - 7*n + 2. What is the remainder when y(6) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 432577.8 meters in kilometers?\nAnswer: 432.5778","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 175945165.2us to weeks.\nAnswer: 0.000290914625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 - 7. Let w = -288 + 288.1. Sort w, m, -1\/4 in descending order.\nAnswer: m, w, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) - (sqrt(156) - (sqrt(156) + (sqrt(156) - sqrt(156)*2)) - sqrt(156))*-5)\/((sqrt(12) - (sqrt(96)\/sqrt(4))\/sqrt(2)) + sqrt(12))*-5)**2.\nAnswer: 325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of -7*b**3\/3 + 15*b**2\/2 + 95*b. Calculate the remainder when 57 is divided by l(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 times 24.319992\nAnswer: 1.2159996","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3601 is divided by 2295.\nAnswer: 1306","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b + 8 = 6*q, 6*q + 1810 = 1828 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 146 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 take away 3285274.6?\nAnswer: -3285273.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*1*sqrt(91) + sqrt(91) - sqrt(91)) + 2*(sqrt(91) - 2*sqrt(91)))\/(-6*(sqrt(112) - sqrt(7))*2).\nAnswer: sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 + 6*l + 16 + 7.\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*t - 5*t + 16*t - 10 + 12*t.\nAnswer: 17*t - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (-1 + 0 - -7)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 + -7. Let n be 5*(-3)\/(-15) + x. Suppose 5 = -6*c + n*c. Solve -13 = -3*p - c*h, h + h = 10 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -4*r**2 - 326*r + 19696. Determine x(-122).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -391 bigger than -389?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a = -3*r - 193 + 176, -3*r - 3*a = 42 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31529 to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1092040 rounded to the nearest ten thousand?\nAnswer: -1090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -12330042 (base 5) in base 16?\nAnswer: -1d747","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + -7 + -9 + 39.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d + 3*r = 0, -50 + 15 + 19 = 4*r for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23305 + 23304.97. Which is smaller: 8.08 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -372, -651, -862, -1005?\nAnswer: -1080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 34324909 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -q**4 - 131250289*q**3 - 1073992*q**2 - 22*q wrt q.\nAnswer: -24*q - 787501734","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7628 and 324.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes before 11:05 AM?\nAnswer: 9:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1017 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5525742800.\nAnswer: 2, 5, 37, 373361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 + -6. Suppose -4*o = -i*o - 25. Which is the second biggest value? (a) o (b) 0.2 (c) 4\/5 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7242459 is divided by 862?\nAnswer: 797","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 250229 + 525733 = 22*g. List the prime factors of g.\nAnswer: 3, 3919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23.4930233 + -933.\nAnswer: -956.4930233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 415 + 1577. Let a be (p\/4)\/(6\/(-80)). Let s = -500 - a. Round s to the nearest one hundred.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16519 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s + 16. Suppose 3*f = -3 - 9. Let q(p) = 3*p + 48. Let w(b) = f*q(b) + 11*j(b). Let o be w(-12). Let t(z) = -z**2 - 7*z + 5. What is t(o)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -3) + -1 - (7 - 8).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*p - 60*p + 10*p - 8*p**2 + 11*p + 28*p.\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 3*t + 104 + 12 + 5*t. Calculate the remainder when o(-13) is divided by (3\/(-6))\/((-1)\/6).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 114 + 0.13715.\nAnswer: 114.13715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1+48442753.858783\nAnswer: 48442752.858783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 3 = -w - 3, -4*s = 8 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 247 - 246.999871. What is x rounded to 5 decimal places?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 7200 and 1508688.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 37427 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 16802.28 litres?\nAnswer: 16802280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 0, -19, -56, -117, -208, -335, -504?\n\"Answer: -m**3 - 3*m**2 - 3*m + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3384 is divided by 280.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/4*4 + -7. Let x = 0 + u. Let l(j) = j + 1. Calculate l(x).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -46*k**3*s**2 - k**3*s - 317*k**2 + 52*k + 54*s**2 + 5*s wrt k.\nAnswer: -276*k*s**2 - 6*k*s - 634","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -10.1, -31435?\nAnswer: -10.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 PM and 3:54 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -70 - -78. Suppose -3*u - 4*d + q = 0, 4*u - d = 2*u - 2. Solve u = 3*k + 5*a + 15, -5*k = -3*a + 4 + 21 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d7db + -1?\nAnswer: d7da","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*a**2 + a**2 + 23*a**2 + 7*a**2 to u*a + w + y*a**2 and give y.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -8*h + 6. Let k be y(-8). Suppose p = -4*f + 61, -k = -5*f - 2*p + 7. What are the prime factors of f?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 67578172?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - (3 - (-1 + -6 - 13 - -11)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 13) to base 7\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 11:30 PM?\nAnswer: 6:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-14082)\/(-3516) + 10 + -14. Is g at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*p + 5*b + 4, 2*p + 5*b + 6 = 4*b for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 121 + 260. Suppose -6*f = -5*f - l. Suppose 3*y - 498 = f. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -99*u - 42*u - 218*u + 46*u as o + w*u and give w.\nAnswer: -313","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 l when two letters picked without replacement from {y: 3, l: 1}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 72358812 to the nearest integer?\nAnswer: 8506","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 42 - 61. Let x = n - -18. Let i = 4 + x. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:56 PM and 7:33 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 + 16*d**2 - 5*d - 53. Let u be a(15). Suppose -21 + u = 38*n. Let t = -3 + -1. Put n, 5, 40, t in descending order.\nAnswer: 40, 5, n, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 61*h**2 - 1906*h - 13 + 1906*h in the form s + z*h**2 + f*h and give s.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 5*g + 90 = 0, 3*y + 4*g = 2*y + 32. What are the prime factors of y?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5 + (-1)\/((-3)\/(-12)). Solve -l + 2*l + r = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -20*h. Let l(s) = -46639*s. Calculate y(l(z)).\nAnswer: 932780*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -4719977 (base 11) to base 15\nAnswer: -acbd64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.955421 rounded to 2 decimal places?\nAnswer: -0.96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40493?\nAnswer: 40493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1100 + -1001101100001000010101?\nAnswer: -1001101100001000001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 5953 - -1190?\nAnswer: 7143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 6 = d, 12 = 2*c + 2*c + 4*d. Let l = c - -8. Calculate the highest common divisor of 99 and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 + -12?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence znv when three letters picked without replacement from {v: 9, n: 2, z: 2}?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = f - 219. Suppose -f = -4*r + 38. Suppose 0*m = 4*m - r. Calculate the remainder when 50 is divided by m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -29, 8 in descending order.\nAnswer: 8, -2, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6516?\nAnswer: 2, 3, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 107 - (46 + (74 - 1))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 4*r - 31. Let h be 1\/r - ((-189)\/15)\/(-3). What is the closest to 2\/153 in h, 2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 9) to base 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 14 and 27223.68.\nAnswer: 381131.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-4\/13)*t*t**(1\/6))\/(((t\/(t**(-15\/8)\/t))\/t)\/(t*t*(t\/(t\/t**21))\/t)) assuming t is positive.\nAnswer: t**(6235\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 67*m - 4883. Suppose 617 = 4*x + 3*s, 2*x = -x - 5*s + 460. What is the remainder when x is divided by o(75)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**0)**(-21\/5)*j\/j**(7\/3)*j\/((j*j**6)\/j*j)*j)**(-17) assuming j is positive.\nAnswer: j**(323\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.9, -2, -1\/4, 11\/3, 4 in descending order.\nAnswer: 4, 11\/3, 0.9, -1\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 - 10*f**2 - 12*f + 14. Let a be o(11). List the prime factors of (-1 - -7) + 0 + a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from qqqqzqqzqzq?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -61 - -106. Calculate the remainder when ((-7427)\/(-3183))\/(14\/438) is divided by m.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5526 * -5\nAnswer: -27630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5*286\/(-29055))\/((-6)\/87). Let g = -7\/149 - m. Factor 5\/3*o - g - 4\/3*o**2 + 1\/3*o**3.\nAnswer: (o - 2)*(o - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12662 - 12662. Suppose -44 = -4*n + 52. Suppose -2*o = -4*d + 10, -5*o - 4*d + 40 = -o. Solve k*m + n = -3*m - 4*f, f = o*m + 17 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (32\/(-12))\/((-4)\/6). Let v be (g\/22)\/(1 + -2). Are v and 0 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 361235*l**2. Let s(c) = 2*c**2. Calculate w(s(k)).\nAnswer: 1444940*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5762?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 5, 0.5, -1\/871, -0.3, -9?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -14\/165 (b) 2\/21 (c) -109\/5 (d) 2\/3 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2053 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -25 + 18. Let q(h) = -10*h - 2 - 23*h**2 + 22*h**2 - 3. What is the units digit of q(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 3 h when four letters picked without replacement from {u: 2, l: 1, s: 5, h: 6, n: 3}?\nAnswer: 5\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*102\/(-34)*((-40)\/3450)\/2.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3111 (base 5) to base 6.\nAnswer: 1514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 + 1 + ((-6 - -6) + -31 - (937 - 963))?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence msal when four letters picked without replacement from {s: 2, m: 3, l: 6, a: 1}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1512\/882*14\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 154897521 is divided by 129.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/18524 and -81\/682?\nAnswer: 574244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.4 times -28412?\nAnswer: 68188.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2734 is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7430836\/135 or -55042?\nAnswer: -7430836\/135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 135 in -29, 3, -3\/4, 0.2, -4, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five halves of a hour in seconds?\nAnswer: 99000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/280 and 59\/14?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000053434 rounded to 6 decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + 5*k - 35, 3*y - 5*k - 20 = -7*k. Suppose -5*m + 1452 = y*m. Is 11 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.49984 rounded to three decimal places?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/847 and -79\/136752.\nAnswer: 1504272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 15868709 a multiple of 1944?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 3 - 3)*(-4 + 4 + 1)*(21 - 10 - 28)*(3*k + 10*k**4 + 5*k - 7*k) as m*k + o*k**4 + g*k**2 + l + y*k**3 and give m.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165 = -22*q + 539. What is the highest common factor of 544 and q?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 2*q - 2. Let l = -79 + 89. Suppose -l = 5*w + 10. Determine j(w).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 3*w - 6. Let r be i(4). Let z(g) = -g**2 - 16*g - 61. Let k be z(-11). Let c = k + r. Solve c = -3*l - 3*t - 9, -l + 0*l + 27 = -5*t for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 140 + -135. Suppose -3*p + 3*m - 2*m = 11, 2*p = 5*m - 29. Which is the nearest to -1? (a) p (b) -0.5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3 - 54*q**2\/7 + 33*q\/7 + 2.\nAnswer: (q - 7)*(q - 1)*(7*q + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**2 + o + 12. Let i = 7 + -7. Suppose i = -5*q + 40 + 35. Let m be (1 - 0) + q + -16. Calculate p(m).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55267476 a multiple of 121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14977086 to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1.3, -0.1, 2365?\nAnswer: 2365","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/32 of a gram?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -11975392, -23950749, -35926106, -47901463, -59876820?\n\"Answer: -11975357*r - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 121 = -5*b, -5*b + 46 = -3*p - 41. Let j = 95 - 34. Let l = j + p. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 9:43 PM?\nAnswer: 5:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 93\/52876 and 31\/45.\nAnswer: 2379420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = 123*g - 121*g. What is the units digit of ((-968)\/3)\/(-1) + 20\/g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 34\nAnswer: -3.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, -3, 7.66, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 273 in -1\/6, 2\/21, -4\/5?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*c**3 + 0*c**3 - 15*c**3 - 12*c**3.\nAnswer: -23*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -26590*m*r + 108945510*m - 951*r wrt r?\nAnswer: -26590*m - 951","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that l**4 + 1849*l**3 - 42936*l**2 + 224784*l + 269568 = 0.\nAnswer: -1872, -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 47720 - 8016881\/168. Find the common denominator of 79\/420 and w.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 + 5*l**2 - 4*l - 5. What is the hundreds digit of d(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = 4*r - 111104, 5*r - 138855 = -2648*y + 2643*y. Is r a multiple of 170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gs when two letters picked without replacement from {e: 3, g: 1, s: 2, p: 3, b: 1}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 284 a factor of 637296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-102)\/(-90) + (-2)\/15. Let s be ((-34)\/(-119))\/(c\/(-7)). Let w = 2\/995 - -1952\/18905. Sort 1, s, w, 0.1 in descending order.\nAnswer: 1, w, 0.1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -568, -566, -562, -556, -548?\n\"Answer: y**2 - y - 568","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*o + 6*o = -26. Let l = -15 - o. Let v = -3 - l. Solve 10*g - 5*g = -v for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-102)\/4)\/((463980\/6080)\/407)?\nAnswer: -136","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-792)\/(-6))\/(-11))\/(-5)*80\/(-8).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (2 + -4) - (6 + -3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f + 32. Let h(w) = 3*w + 65. Let o(y) = 5*d(y) - 2*h(y). What is the units digit of o(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 101, 198, 291, 380, 465, 546, 623?\nAnswer: 696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*r**2 + 3 - 6*r**2 + 23*r**2.\nAnswer: 28*r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 8263 = -3*p + 15511, -5*y + 3*p + 29704 = 0. What is the third derivative of 2*l**3 + 0*l**3 - 2*l**3 + 5633*l**2 - 324*l**4 - y*l**2 wrt l?\nAnswer: -7776*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*o - 16*o - 1573 = -209 for o.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**2 + 4. Let v(n) = -5*n**2 - 126*n + 272. Let d(b) = 12*g(b) - 3*v(b). Factor d(l).\nAnswer: 3*(l - 2)*(l + 128)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zn when two letters picked without replacement from {z: 4, p: 2, r: 1, n: 1, i: 3}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -514.225 to the nearest 10.\nAnswer: -510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -332*f - 317*f - 318*f + 8 + 971*f - 3. Let p(m) = -2*m + 11. Let b(y) = 3*y - 21. Let a(h) = -5*b(h) - 9*p(h). Give -5*a(j) + 4*u(j).\nAnswer: j - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -k**4 - 427597465*k**3*w**3 + 5*k*w**3 - 2*k*w - 17596*k + 22*w**3 wrt k?\nAnswer: -12*k**2 - 2565584790*k*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uzzeffzdzzizzzzfede. What is prob of sequence ed?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003263 to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 35.66416 milligrams?\nAnswer: 0.03566416","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30 - (1672\/(-40) + 14)?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4 - 1*(-7)\/(-119)*-74. Let o be (-12)\/(1 - 4) + -1. Suppose 4\/17 - s*b - 2\/17*b**2 - 2\/17*b**4 + 6\/17*b**o = 0. Calculate b.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of -r**4\/22 - 2*r**3\/33 + r**2\/11 + 2*r\/11 - 265. Factor i(g).\nAnswer: -2*(g - 1)*(g + 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/18)\/((-2)\/3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 + (0 - -1))\/2. Suppose y = 4*z - 12, 0*l = 2*l - z - 5. Suppose l*q - 4 - 104 = 0. What is the greatest common factor of q and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -97*o - 2. Let d be y(-1). Calculate the greatest common factor of 19 and d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3727\/2 + -1795. Let a = -895\/14 + c. Factor 80\/7*j**2 + 4\/7 - a*j**3 - 34\/7*j.\nAnswer: -2*(j - 2)*(4*j - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4532307 + 36939.903\nAnswer: 4569246.903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/(-8)*5 + 158\/632)\/(-2). Let g = -2.4 - -2. What is the biggest value in -0.34, x, g?\nAnswer: -0.34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2*7\nAnswer: -1.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of w**4\/2 + 13*w**3\/3 - 9*w**2\/2 + 915. Let k(u) = -u**3 - 9*u**2 + 6*u. What is -8*k(z) - 5*o(z)?\nAnswer: -2*z**3 + 7*z**2 - 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pmpmmmmgmmmpmggmhpg. What is prob of sequence hgg?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1204 = 3*k + i + 1232, 0 = 3*i + 12 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 937?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -849659\/3 greater than -283219?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01 minus 1.00219986?\nAnswer: -0.99219986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (10\/(-12))\/(4 - (-225)\/(-54)). Suppose -3*y - 2*i + i = -8, -5*y = b*i. Solve 2*c + 6 = -2*p, 4*c - 5*p - 3 = -y*p for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1465*k - 40767 + 23832 - 39791 - 45824 = 0 for k.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3334733 minus 864?\nAnswer: 3333869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l + 2*l**2 - 16 - l - 15*l**4 - 17 + 29 as j*l**4 + c*l**2 + m + f*l**3 + h*l and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1017 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(168)\/(sqrt(8)*2))\/sqrt(3).\nAnswer: sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5*(4\/(-2))\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p**2 + 337*p**3 - 4*p**3 + 302830*p - 302830*p - p**2.\nAnswer: 333*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, 0.492, -3, -2 in decreasing order.\nAnswer: 35, 0.492, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c - 4. Let z be d(-6). Suppose -1 + 0 = -4*n - 3*o, n - z*o = -8. Let m = -3 - n. What is m rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42118.8 millilitres to litres.\nAnswer: 42.1188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 26866865874046+5\nAnswer: 26866865874051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.3, 29, -7\/9, 1\/5, 11 in descending order.\nAnswer: 29, 11, 1\/5, -7\/9, -1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -7207.721 rounded to the nearest integer?\nAnswer: -7208","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-8) + 1974\/1880?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cha when three letters picked without replacement from {a: 2, h: 2, z: 1, l: 1, c: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 71.70311454 to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -12 from -90.2726365.\nAnswer: -78.2726365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-4 - -3 - 5 - -1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve d = -c - 1, 0 = -2*c + 2*d - 17 - 1 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + 5*z - 4*z + 67, 31 = -3*l + 4*z. Let d be ((-2)\/8 - l\/52)\/2. Which is smaller: 2\/137 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of n**4\/12 + n**2 + 4*n - 5. Let u be w(5). Let h = -2 - -5. Calculate the highest common divisor of u and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.9 (b) 0.3 (c) -6 (d) 2\/5 (e) -9\/11 (f) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1008 divided by 3?\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1255768 smaller than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -3*z - 9. Let m(c) = c**2 + 2*c - 1. Let j be m(z). Suppose 0 = 2*w + 4*q - 18, -q + 3 = -0*q. Solve -3*p = -j*o - 10, 0*o - 2*p - 15 = w*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.014 - -0.014. Let f = 0.15 - -0.55. Let d = 7.7 - f. Is p equal to d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 204640*y**2 - 453718*y.\nAnswer: 409280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 724061*f - 670384?\nAnswer: 724061","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 4*c**5 - 2376*c**4 + 335876*c**3 + 5017616*c**2 + 23784960*c + 36966400 = 0?\nAnswer: -5, -4, 304","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 3*m + 150 = 0, -2*m + 246 = 3*f - 2*f + 2*f - 7*m for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q**2. Let b(d) = 118*d**2 + 2. Determine p(b(x)).\nAnswer: 27848*x**4 + 944*x**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41281 is divided by 161.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)*-4)\/sqrt(9) - (sqrt(20) + sqrt(120)\/sqrt(6))\/sqrt(4).\nAnswer: -6*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -0.148?\nAnswer: 0.0296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -4*m - 168. Let w be c(-43). Let x(b) = -4*b**2 + 6*b + 2. Let t(r) = 5*r**2 - 7*r - 1. Let d(n) = 3*t(n) + 4*x(n). Let g be d(w). Does -2\/5 = g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 + 27*q**2 + 75*q - 244. What is d(-22)?\nAnswer: 526","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 3779?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4125 divided by 1375\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -15968421900 rounded to the nearest one hundred thousand?\nAnswer: -15968400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 172 - 83. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31 + -25. Let y = s - -58. Which is the second smallest value? (a) y (b) 2\/5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 + -38 + (13 - -2) + 53.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-4)*18\/(-9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-12))\/(2\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 + (451\/(-4) - (-2)\/(-8)). Let w be a\/(-14) - (264\/42 + -6). Solve 4*j + 4*x = 0, -2*j + 4*x = -4*j - w for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of b**2 + 102. Suppose -2*g - 3 - 5 = 2*s, 2 = 2*g. Let f(h) = 9*h. Suppose -4*y = -32 - 52. What is s*f(k) + y*i(k)?\nAnswer: -3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 14 + 3. Suppose z - 4*z + 54 = 0. Let u = s + z. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48203510 is divided by 56?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 + 2*g + 5. Suppose 0 = 3*v - 2*f + 7, 2*f + 2 = -0. Calculate the lowest common multiple of d(v) and 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 206 by 3.\nAnswer: 206\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -64*d + 41*d + 437. What is the remainder when 26 is divided by d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1476 divided by 4.\nAnswer: -369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 426 is divided by 154.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 PM and 12:40 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0259653 decades in months?\nAnswer: 3.115836","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -531 - d**3 + 541 + 8*d**3.\nAnswer: 7*d**3 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -4738689?\nAnswer: -4738689","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 315120.3s in minutes?\nAnswer: 5252.005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -212021200 (base 3) to base 6.\nAnswer: -210330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*u = 16*u + 40 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 811.7682m in millimeters?\nAnswer: 811768.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z. Let v be b(19). Suppose v*x = 23*x - 6068. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of 0 - 49*c**2 + 0*c - 53\/24*c**4 - 15\/2*c**3. What is the first derivative of t(w) wrt w?\nAnswer: -53","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eneueueueueeueuuuen. Give prob of sequence eeuu.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s**6\/s))\/(s\/(s\/s**3*s)*s) assuming s is positive.\nAnswer: s**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13661\/50 - 1366\/5. Let z(s) be the second derivative of -7*s + 0 - k*s**5 - 25*s**2 - 1\/2*s**4 - 5*s**3. Suppose z(h) = 0. What is h?\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(0\/14)\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.9 - 5.9. What is the third smallest value in k, 3\/8, -5?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 21*q - 548. Let j be y(26). Put 3, -5, j, 33 in decreasing order.\nAnswer: 33, 3, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 - -16. Suppose 0 = 2*k - 3*h - 3, r*h = 2*k + h + 2. Suppose 257*w - 9039 = 213. Calculate the highest common divisor of w and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 605892\/91 - (4 - (-100)\/(-26)).\nAnswer: 2, 3329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 + -2 + 6 + 0 and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7555, 8807, 10059, 11311, 12563, 13815?\nAnswer: 15067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1668 - 1408.6. Let j = t - 259. Put 0.35, j, 1\/2 in increasing order.\nAnswer: 0.35, j, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -4*g**2 + 5 + 3*g**2 + 43*g - 33*g. Let k be j(10). Solve k*c + 0 - 6 = 3*u, -4*u = 4*c + 8 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4699 - -141029\/30. Which is greater: z or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 + 55*o**2 - 5*o - 608. Give w(55).\nAnswer: -883","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -253843?\nAnswer: 25384.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 48881 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*w - 93*w = -20. Let u be -3 - (1\/11)\/(w\/(-32)). Which is greater: -2 or u?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*l**2 - 6*l**2 + 10*l**2.\nAnswer: 21*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 495120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 20*d**3 + 75\/2*d**2 - 20*d + 5\/2*d**4 - 40 = 0. What is d?\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 9389.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f = -q - 19, -17*q = -14*q + 5*f + 22 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 8 = -i. Let m(t) = -46*t - 1. Let n(l) = -l. Let x(a) = i*n(a) + m(a). Is x(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*k - 108*k - 2*k**3 + 0*k**3.\nAnswer: -2*k**3 - 123*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 945 and 45.\nAnswer: 945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 76231 to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 849173975?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 3*v + 18. Let u be a(0). Calculate the remainder when 3 + 21\/(-3) + u is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 v when three letters picked without replacement from {c: 4, v: 15}.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2*n**2 + 1256*n - 133854. Give w(492).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 40835 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/10)\/((-7)\/2). Let b(g) = g**3 + 4*g**2 - 7*g - 10. Let j be b(-5). Which is smaller: j or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10011737\/7140 - 82\/1785. Let i = h + 22369\/16. Find the common denominator of (-1090)\/(-8)*6\/75 and i.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 13*j. Let m(c) = 659*c. Give v(m(f)).\nAnswer: 8567*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2 - v - 18. Let i = -26 - -26. Let l be p(i). Let z = l - -20. Solve -5*b - 10 = -7*f + z*f, -9 = -3*b for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(-4) - 77\/28. Let b be (-3 - 2) + -76 + t. Which is smaller: b or -84?\nAnswer: -84","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the first derivative of -s**2\/2 - 2*s - 2. Let m be v(-4). Let x be 8\/6*9\/2. What is the highest common factor of m and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 5 + (-7 + -5 - -6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1247.\nAnswer: 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -75, -59, -41, -21, 1, 25, 51?\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 84, 270, 476, 708, 972, 1274?\n\"Answer: k**3 + 4*k**2 + 167*k - 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 13708814939 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of 11*b**6\/180 + 11*b**3\/3 - 5. Let c(s) be the third derivative of p(s). Let t(f) = 3*f**2. Give c(t(v)).\nAnswer: 198*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 13*y. Let t(l) = l + 1. Let d(u) = u + 7. Let c(v) = 2*d(v) - 14*t(v). What is 3*c(k) + 4*g(k)?\nAnswer: 16*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 62000.3 millilitres in litres?\nAnswer: 62.0003","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -63 - -89. Let o be (2262\/(-390))\/((-2)\/10). Let z = o - g. Solve 2*i = z*k + 13, 4 = 4*i - 4 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 5 - 3*d**2 - 6 - d - d**3 - 8 + 2*d. Let l be s(-4). Solve t + 5*v = -l*t + 2, 0 = -4*v + 8 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 531079 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 + 14*m**2 + 12*m - 14. Let z be h(-13). Let d = -2\/795 - 496\/13515. Are d and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -784*n**2 + 5*n - 10. Let b(s) = -1175*s**2 + 8*s - 16. Determine 5*b(u) - 8*x(u).\nAnswer: 397*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 367, 373, 379, 385?\n\"Answer: 6*j + 361","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -1\/4, 19\/6, -1798, 1, -2\/3, 0?\nAnswer: 19\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 834\/85597 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -130011 - 301?\nAnswer: -130312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6664 and 320824.\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1660, -1665, -1674, -1687, -1704, -1725, -1750?\n\"Answer: -2*l**2 + l - 1659","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.05 + 0.072. Let q = 1.443 + -1.365. Let j = q + h. Which is smaller: 0.06 or j?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -30.8 - -31. Let x = 3\/18352 + 1392455\/18352. Let o = -76 + x. Which is the third biggest value? (a) k (b) 5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*m + 6 = -3*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-144)\/96)\/((-147)\/378)\nAnswer: 27\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of ((-6)\/9 - 1\/(-6))*-514?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -45 + 30. Let u = m - -20. Suppose 6 + 34 = u*x. What are the prime factors of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43825390498 - 41*q + 43825390498.\nAnswer: -41*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 641339401?\nAnswer: 641339401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 188 divided by -2934?\nAnswer: -94\/1467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(208) - (-1 + sqrt(208)))*-2*-5*-2)*5.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.08 + -1.36. Let w = l - -1.28. Which is the closest to -1? (a) -11 (b) 0.4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -0.6, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1849.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**2\/2 - 44*a - 87\/2 = 0. Calculate a.\nAnswer: -87, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 6, 169, 74, 4, 2 in increasing order.\nAnswer: 2, 4, 6, 13, 74, 169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + 1413?\nAnswer: 1418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ksjsuuuju. What is prob of sequence jsj?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39164108 by 7.\nAnswer: 39164108\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 12:39 AM?\nAnswer: 7:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5}. What is prob of picking 2 h?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1364 and -0.08368.\nAnswer: -114.13952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g - 3*g + 3*g + (32*g + 27*g - 74*g)*(1 + 3 - 2).\nAnswer: -31*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -36 + 36. What is the closest to -0.1 in -0.1, -1, m?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 298449544?\nAnswer: 2, 1303, 28631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 0*a = -5*r - 17, -4*r + 2*a - 10 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 3374 = 562. Is x + 2 - 4\/(-12)*-3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1f9e68 (base 16) to base 7\nAnswer: 23420210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 67109 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.45 - 0.05. Let m = 118 - 116.95. Let g = 2.95 + m. Which is the second biggest value? (a) 2\/9 (b) g (c) q (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -812 = -6*c + 2*c. What is the hundreds digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + 3061?\nAnswer: 3061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, e: 1, h: 1, u: 1, j: 1}. What is prob of sequence hue?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-386 - 784*t + 386)*((-2 + 2 + 2*t)*(1 - 4 + 2) + (0 - 1 - 4)*(2*t + 0*t - 3*t) + 3*t - 3*t + t) to q*t**2 + z + d*t and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 15637 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0193 + -2.9127. Let a = q - 0.498. Round a to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45547 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -10 + 6 - -21*2*-64. Let v = 6339 + t. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 + 3*b**2 - b + 1. Let c be q(-3). Suppose f + c = 3*f. Let l(u) = 2 + 2*u - f. Let y(j) = 3*j**2. Determine y(l(m)).\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(1\/1*(-48)\/(-16)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 r, and 1 p when three letters picked without replacement from rmrpo?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 48 + -19. Suppose -v*w = -26*w. Suppose -3*b - k + 427 = 0, -2*b + w*k + 290 = -2*k. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5*(-2)\/(-10))\/((-4)\/(-4))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ma when two letters picked without replacement from {m: 2, a: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-40)\/(-12))\/5 + (-381)\/(-9).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1379 + 3722. Suppose -1438 = -2*j + 4*u, -u + 497 = 4*j - i. What are the prime factors of j?\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 550 is divided by 131.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 76455410 a multiple of 83?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**0*z)**(12\/11)\/(z*z\/(z*z**4)*z*z*z\/z**(1\/14)) assuming z is positive.\nAnswer: z**(347\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -68\/25? (a) -1\/6 (b) 0.5 (c) 117.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -99\/874?\nAnswer: -99\/874","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 129648878 a multiple of 1749?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*t**2 + 11 - 11)*(221 - 138 + 154) as q*t**2 + x + r*t and give q.\nAnswer: 1185","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/(4 + -3) - 2. Let a = i - 24. Let y be 330\/(-75)*(5 + 0). Does y = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 2) to base 13\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2645389223 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -404*f - 3915 - 7587 = 413*f + 48139 for f.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -575 = 96*r - 191 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -302654 - -302653.99200785. Let p = 0.008 + y. What is p rounded to six decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5016*m + 4312*m + 783552 for m.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, 8405, 0.5, 3, 6, -17.\nAnswer: -17, 2\/5, 0.5, 3, 6, 8405","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*i**2 - 161153084*i + 161153084*i.\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.01 + -4.99. Suppose 0 = -4*i - 0*i + 20. Put i, -1, a in decreasing order.\nAnswer: i, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1532, 3193, 5106, 7397, 10192, 13617, 17798, 22861?\n\"Answer: 21*r**3 + 1514*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -20 divided by 8101992\nAnswer: -5\/2025498","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1500982*i**3*y + 7*i**2*y + 537*i**2 - i - 3*y wrt i.\nAnswer: 9005892*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 425*j**2*w**2 - 2277*j**2 + 5*j + 13*w**3 wrt w?\nAnswer: 850*j**2*w + 39*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, -5, -3 in decreasing order.\nAnswer: -3, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + 4*v - v)*(-5*v + 3*v + 12*v**2 + 39*v**2 - 2*v**3).\nAnswer: -2*v**4 + 51*v**3 - 2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 149*p - 597. Let d be h(6). What is the greatest common factor of d and 396?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.33 + -73.67. Let g = -88.816 - -0.316. Let x = f - g. Round x to 0 dps.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - (-1 + (7 - 9))) + -2 + -1?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 175597 and 4?\nAnswer: 702388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve u + 32 = -2*z - 28, -2*u - 5*z = 149 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 165333?\nAnswer: 3, 7, 7873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 1052 divide 11150148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 2 - 0. Let t be 23*-2 + s\/1. Let f = t - -68. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.5, -259\/116, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 3\/12 - 99\/(-4). Suppose 0 = -a + 4*q - p, 3*q = 6*a - 3*a + 30. Let h = 191 - 195. Which is smaller: h or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1550 - -1?\nAnswer: -1546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 - 0. Let d = 3.02 - 3. Let j = d - -0.38. What is the third smallest value in q, j, -2\/3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -87, -11, 115, 291, 517?\n\"Answer: 25*g**2 + g - 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 224631 + -147608. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of -s**5\/30 + s**4\/6 + 5*s**2. Find the second derivative of w(f) wrt f.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 8:07 PM?\nAnswer: 6:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 3*x**3 - 10*x**2 - 3*x - 5. Let j(d) = d**3 - d**2 + 1. Let h(g) = 2*j(g) - p(g). Let n be h(8). Round n to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3978675 and 2.\nAnswer: 7957350","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.8 - 0.91. Let l = v - -0.41. Which is the second smallest value? (a) l (b) 2 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**21)\/(p*p**(-2\/29)*p)*p*p**(-4)*p\/((p**(-15)\/p)\/p) assuming p is positive.\nAnswer: p**(1017\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-5)\/a)\/(a*a\/(a*a**(-1\/7)*a)))**1 assuming a is positive.\nAnswer: a**(-43\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, -21 in ascending order.\nAnswer: -21, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -3*f**2 + 19*f + 15. Let s(k) = 6*k**2 - k + 2. Let c be s(1). Let i be l(c). Do -14\/51 and i have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -47 - -24. Let c be p\/(-3) - 6\/(-18). Let o = c + -4. Solve 4*u - u + 7 = o*s, 3*s + 3*u = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -35, -59, -83?\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-18 + 13 + 80)*(-4 + 2 + 1)*(-2*c**4 + 2*c**3 - 2*c**3) as g + o*c**3 + t*c**4 + p*c + b*c**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-4)\/10)\/((-2)\/40). Let h = u + -5. Solve h*j - 8*j = 15 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -63, -108, -153, -198, -243, -288?\n\"Answer: -45*m - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 4) to base 13\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1831509 to the nearest integer?\nAnswer: 1353","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5918 is divided by 63?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 689?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -8*k**4 + 48*k**3 - 52*k**2 + 39*k. Let i(d) = d**4 - 4*d**3 - d**2 + d. Let y(x) = -18*i(x) - 2*l(x). Factor y(m).\nAnswer: -2*m*(m - 3)*(m - 1)*(m + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/4)\/((-8)\/32). Suppose -y + 564 = -2*a - j*a, -2*y + 1156 = -a. What is the hundreds digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + -2 - 29 - (14 + (4 + -1 - -5)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10673 - 10649. Let b = -6 + 31. Which is bigger: b or m?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 1 + (2 - (4 + -4)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -706 = -n - 712 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + 0. Let g = 3 - z. What is the remainder when 1 is divided by g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1556 is divided by 38?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.1, 1\/2, -2, -86\/5, -3.96?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 41 - 24. Let j = 580.3 + 30.7. Let h = j - 610.6. Put y, -1, h in descending order.\nAnswer: y, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(-2\/19)*j)\/j)\/(j*j*j**10*j*j))\/(j**2*j*j\/j**(-8)) assuming j is positive.\nAnswer: j**(-477\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*x**4 - 101 + 101 - 2*x**2 - 3*x**3 + (x - x + x)*(1 - 4 + 0)*(54*x**2 + 86*x**3 - 54*x**2).\nAnswer: -254*x**4 - 3*x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of -2*r**2 + 1\/24*r**4 + 0*r + 0 + 0*r**3. Let c(o) = -2*o + o - 4*o. What is c(l(v))?\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (-11 - 2 - -6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 0)\/2*(8 - 25 - -16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 - 6*a**2 - 14*a + 8. Give z(9).\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 3*g - 4 = 0. Suppose -4 = -g*o, k - 3 = -2*o - 0*o. Let x(c) = -c**3 + 2*c**2 + 2*c - 3. Let v be x(2). Is v greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j - 16 = 4 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7168*g*i**6*m + 6*g*i**2 - 147*i**6*m + 967*i**2 + 50*m wrt i.\nAnswer: 860160*g*i**3*m - 17640*i**3*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17 + -24. Let f = 10 - t. What is the remainder when f is divided by 10 - (3 - (-6)\/(-3))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*g - 4*g**3 - g**4 + 2*g**3 + 2*g**4 - 3*g as w*g**2 + v*g**4 + z*g + h + y*g**3 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-9))\/(5\/2*(-224)\/840)?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of v**6\/720 + v**4\/2 - 4*v. Let w(x) be the third derivative of y(x). Let f(h) = 4*h. What is w(f(k))?\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**3 - 3*t**2 + t + 8. Let o be (1 - 4) + (-4)\/4. Let d be m(o). Calculate the greatest common divisor of 60 and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -270 - -267. Sort q, 3, -5, -2 in descending order.\nAnswer: 3, -2, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 21 = 2*v. Let t = 12 + v. Let c(x) = -x**3 + 7*x**2 + 4*x - 9. Let u(k) = -2*k**3 + 13*k**2 + 9*k - 17. Let a(p) = 5*c(p) - 3*u(p). What is a(t)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 4 - 12 + 0*j + 9 + 3*j. Calculate f(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -1\/4, 0.13, 0.09, 2\/11 in ascending order.\nAnswer: -1\/4, -0.2, 0.09, 0.13, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 302.64+34\nAnswer: 336.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -559.367 and -0.5.\nAnswer: -559.867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 - -18. List the prime factors of i.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 2977310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 5*c**2 + 12*c**2 - 13*c**2 + 7*c**2. Let k(w) = w**2. What is k(a(o))?\nAnswer: 121*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2123530?\nAnswer: 2, 5, 212353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*i - 10, -4*v = -6*i + 2*i + 16 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3\/4 - 13*f**2\/2 + 29*f\/4 + 27\/2.\nAnswer: -(f - 2)*(f + 1)*(f + 27)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 165 + -79. Let z = 25 + -23. What is the smallest common multiple of m and z?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32 + (-39 - (-8 - 42))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11878460 rounded to the nearest one million?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 + 40*j**2 - 3. What is f(-40)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -l**2 - 16*l - 4. Let t be f(-16). Let o = 14 - 8. Which is the third biggest value? (a) -2 (b) o (c) 2\/11 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 195 and 22542.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -325*m - 16. Let f be n(0). Let k(s) = s**3 + 16*s**2 - s - 38. Give k(f).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31889 divided by 1091?\nAnswer: 31889\/1091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6.3 + 6. Let m = 0.4 + g. Let z be 1 - (33\/12 + -2). Which is the second smallest value? (a) 5 (b) z (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3678495, 3678500, 3678513, 3678534, 3678563, 3678600?\n\"Answer: 4*m**2 - 7*m + 3678498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -a81d (base 15) to base 3\nAnswer: -1210210201","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17213?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 7, 133, -39, 3 in descending order.\nAnswer: 133, 7, 3, -6, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**12*d**(-18)*d*d\/((d**(-18)*d)\/d)*((d\/d**17)\/d)\/d assuming d is positive.\nAnswer: d**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 53a6 - -22?\nAnswer: 53c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 278 times 1.8939?\nAnswer: 526.5042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 680620280.\nAnswer: 2, 5, 19, 895553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 - 11.8. Let w = -444464.799945 - -444466. Let c = k - w. Round c to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 20766969 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 7*i**2 + 2*i + 1. Let g be y(-1). Let c(k) = g - 23*k + 9*k + 12*k - k**2. Let n be c(-3). Solve -w = -n*w + 6 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 10885, 10845, 10795, 10729, 10641, 10525?\n\"Answer: -f**3 + f**2 - 36*f + 10921","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 3\/115?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2 - 401*k - 38038.\nAnswer: -(k + 154)*(k + 247)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 1107700 + 9046866 = 0. Let c = j + 1085434. Round c to the nearest one million.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 17*g**2 - 9*g - 33. Let z(v) = -1 + 3 + 2*v - 4*v**2 + 6. Let w(i) = -2*k(i) - 9*z(i). What is the derivative of w(b) wrt b?\nAnswer: 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -656 (base 9) to base 16.\nAnswer: -219","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 56449949?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 5*d + 2 = 0, -122*r - 30 = -117*r + 5*d for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the first derivative of -12 + 0*p**4 + 0*p**5 + 7\/6*p**6 + 0*p**3 + 6*p**2 + 0*p. What is the second derivative of t(v) wrt v?\nAnswer: 140*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of 2*k**2 - 1\/168*k**8 + 0*k**3 + 0*k**4 + 1\/30*k**5 + 0 - 1\/20*k**6 + 0*k + 1\/35*k**7. Determine v so that b(v) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-63)\/(-6) + (-2)\/(-4). List the prime factors of (a + 1)*5\/4.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z**2 - 5*z - 8. Let d be x(-3). Let f = d - 26. Put 0, f, 6 in ascending order.\nAnswer: f, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 1, -1\/7, 2\/1223.\nAnswer: -2, -1\/7, 2\/1223, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of k**3*m**5 - 3*k**3*m**2 + 107*k**2*m**2 - 44*k**2*y + 464674*k*m**4*y + k*m + 2*y wrt m?\nAnswer: 60*k**3*m**2 + 11152176*k*m*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 248327574?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-72)\/96)\/(1*1\/(-276)).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5.479 + 1.479. Which is the smallest value? (a) r (b) 0.3 (c) 1.17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1198, 0.02, -2.7, -2\/21, 0.04, -4?\nAnswer: 1198","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8487 is divided by 148?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.4 (b) 75.9 (c) 5 (d) -24\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6284.4 + -6284. Which is the closest to 23? (a) 2 (b) 6 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -397678, -397680, -397682, -397684?\n\"Answer: -2*k - 397676","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 + -1. Let k(m) = 2*m + 1. Let l(s) = 4*s + 2. Let a(j) = 2*k(j) - 2*l(j). Calculate a(u).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 944 is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4461080 rounded to the nearest 1000000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 - m**2 + m - 1. Let c be 1\/((-4)\/12) - -3. Let p be i(c). Calculate the remainder when (-2 - p)*(-324)\/6 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 37\nAnswer: -3.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 8*h - 3. Suppose 5*q - 35 = -0*q. What is the remainder when r(2) is divided by q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -1011*q - 359. Let u(a) = -505*a - 143. Give -2*f(v) + 5*u(v).\nAnswer: -503*v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -57206 by 4.\nAnswer: -28603\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1008763576 to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 598 + 2\/(4\/(-6)). Is (g\/2)\/7*2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7203 + 6181 = -8*f + 81*f for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-2) + -3)*(-3)\/(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and -9342440.\nAnswer: -934244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 192 + -168. What is the smallest common multiple of 9 and s?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:27 AM and 6:23 PM?\nAnswer: 656","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 4*y**2 + 183*y - 79. Calculate n(-46).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 29.6.\nAnswer: -29.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/19, -0.3, -1 in descending order.\nAnswer: 2\/19, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.3*-0.21657.\nAnswer: -1.147821","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-347)\/(-15) + 6*12\/(-540). Solve 2*b = -2*x - 12, 3*x + b + 3*b = -f for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 104 and 712?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03814 + -3371?\nAnswer: -3371.03814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/(o*o**1)))**(-9\/8))**(1\/7)\/(((o*o**(3\/2))\/o**(1\/4))\/(o**(-1\/3))**22) assuming o is positive.\nAnswer: o**(-208\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*m + m + 3*m)*(0 - 2 + 3)*(-2 + 7*m + 7*m - 3*m).\nAnswer: -11*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a79ff (base 16) to base 3.\nAnswer: -10021011012110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + 2\/(4 - -86). Suppose 2*d - 2*o - 10 = 2*o, -3*d + 5*o = -12. Is u <= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of s**5*x**3*z - 195*s**4*x**2*z + s**2*z + 4*x**3 - 25*x**2*z wrt s.\nAnswer: 60*s**2*x**3*z - 4680*s*x**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/4*(1 - 3). Let a(p) = -p - 1. Let h be a(-1). Suppose -y - 19 = -x, h = 3*x + 2*y + v*y - 57. Calculate the remainder when 56 is divided by x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -5*f**3 + 215*f**2 - 550*f - 2000 = 0.\nAnswer: -2, 5, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -136 - -71. Let r = p - 26. Let h = r + 105. Calculate the lowest common multiple of 24 and h.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 692 by -21461.\nAnswer: -692\/21461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 43 + -43. Solve 2\/5*v - v**2 + k = 0 for v.\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/(sqrt(150)\/sqrt(3)).\nAnswer: sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20062480 and 8911?\nAnswer: 1273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 - 2*o. Let a be y(0). Suppose a = -3*d - 237 - 141. What is d rounded to the nearest 10?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 5*f - 39 = -6, 5*w - 170 = -5*f. Let r(u) = 14*u**3 + 2*u**2 - 7*u - 175. Let i be r(4). Calculate the greatest common divisor of w and i.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 2 - -109 - (21 + 18 + -30)?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 2 - (7 + (-6 - 0))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1745895672?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 180 is divided by 57.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 37551458?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50475.663 milliseconds to days.\nAnswer: 0.0005842090625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -103987 (base 12) in base 7?\nAnswer: -2112436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/4522 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125 = 5*y - 10*t + 5*t, -13 = -y - 3*t. Calculate the lowest common multiple of 22 and y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jcj. Give prob of sequence jjc.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 297 = 15*y + 207 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 136*y - 40*y**2 - 136*y in the form c*y + j*y**2 + a and give j.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.66 - -0.16. Which is the third smallest value? (a) t (b) -1 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 + 2*w + 2591. Let c be -3 - ((-20)\/6 + 2\/6). Is g(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 - 1\/(4*(-5)\/(-6980)). Let b be 325\/i + (-4)\/54. What is the fourth biggest value in 1\/5, 0.03, -2, b?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pgjgyj. What is prob of picking 1 g and 1 j?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**1\/r)**(9\/11))**(-33))**12 assuming r is positive.\nAnswer: r**(-324)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 115717400 to the power of 1\/2, to the nearest integer?\nAnswer: 10757","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 472 and 168032?\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*f**2 + 62*f**3 - 114*f**3 + 51*f**3 - 2 + 3*f**2 + 289*f as d*f**2 + z + a*f + b*f**3 and give a.\nAnswer: 289","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:19 AM and 12:29 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1\/17, -2\/235 in decreasing order.\nAnswer: -2\/235, -1\/17, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 465*o**3 + 10*o - 29*o + 3*o - 464*o**3 + 3*o + 7*o.\nAnswer: o**3 - 6*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**2. Let n(i) = i + 4*i - 7*i. Determine n(x(f)).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7 - -149454?\nAnswer: 149448","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 AM and 4:34 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19086964?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22)\/((-836)\/95)*(-1)\/2?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/((24\/3)\/4))\/((-8)\/(-8)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 91057?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = o - 19 + 16 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 40 (b) -3\/10 (c) -7 (d) 31 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9\/61 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (12\/(-20))\/((12 - 4)\/(-80)). Let w(j) = 2*j**2 + 39*j - 284. What is the lowest common multiple of 24 and w(h)?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 25, -3, 1\/4, 0.2, -3\/686?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 7707788?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 + -3. Let w be (8\/q)\/(7\/252). Suppose 0 = 3*j - w - 54. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of -c**5\/60 - 13*c**4\/24 - 4*c**3\/3 - 32*c**2. Let l(s) = -s**3 + 10*s**2 - 9*s - 11. Let t be l(9). What is y(t)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 496844719552 + 16.\nAnswer: 496844719568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167467 is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 o, and 1 g when three letters picked without replacement from dmogdgdgggomddgog?\nAnswer: 21\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -58 - 71. Suppose -4*r + 1242 = -5*o, -r = -2 + 4. Let y = n - o. Does 34 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times 32\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -313, 1, -35 in increasing order.\nAnswer: -313, -35, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jnnu when four letters picked without replacement from unnnjjnjununnu?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 138, 171, 204, 237?\nAnswer: 270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7242841433 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of -r**5\/60 + 5*r**3\/6 + 7*r**2\/2 - 12*r. Let n(d) be the first derivative of k(d). Calculate n(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = 5*v - 3*l - 208, 2*v = 3*l + 66. Let z(d) = -d**3 + 30*d**2 + 96*d + 101. Let g be z(v). Factor 3\/5*f - 1\/5*f**3 + 0 - 2\/5*f**g.\nAnswer: -f*(f - 1)*(f + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 339 to the power of 1\/2, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -5 + sqrt(5) + 1 + 5)**2.\nAnswer: 12*sqrt(5) + 41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 663008340 by -30.\nAnswer: -22100278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -16*22\/((-17600)\/(-1750))?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.808 rounded to zero dps?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -321c45 (base 14) to base 16\nAnswer: -19dee5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -9, -1\/3, 148.2, -5\/3, -148?\nAnswer: -148","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (31\/(-2) + 3)*-2. Suppose 3*z + 3*g + 45 = 0, 5*g = z + 4*z + k. Let y = z - -22. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -19 divided by 2228\nAnswer: -19\/2228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4.8 and 865.\nAnswer: 860.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-24) + 3\/(-18). Suppose -4*i = 4*w, p*i + 4*i - 10 = -2*w. Solve 2*l - 6 = i*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 86467167161 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*f**3 + 74*f**2 + 138*f + 54.\nAnswer: -2*(f - 9)*(f + 1)*(5*f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3394522 divided by 367?\nAnswer: 3394522\/367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 275131 + 9.\nAnswer: 275140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5421 by 1807.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1, -4, -7, -10, -13?\n\"Answer: -3*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of c**2*l**2 + 2*c**2*l - 3*c**2*u + 2972*c**2 + 2*c*l**2*u + c*l*u + c - 21*l**2*u + 12031*l**2 - l wrt l.\nAnswer: 2*c**2 + 4*c*u - 42*u + 24062","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000016275211 rounded to six dps?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 6 = 5*t. Calculate the highest common factor of 4 and t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 5691 = -5*u, -2*u + 4*b = -1823 - 463. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5*(-3 + 9) + 1. Suppose -5*p = -154 - i. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100000110100010 - -11?\nAnswer: 100000110100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(4\/2)*760\/(-228)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -3, 0, -187 in ascending order.\nAnswer: -187, -3, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110011101010110111101 (base 2) to base 11.\nAnswer: -a57078","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 AM and 3:06 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 40*r**5 + 10*r**2 + 24*r wrt r.\nAnswer: 2400*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1025?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 11*h**2 - 3*h + 5. Let y(q) = -5*q**2 + q - 2. Suppose 5*c + 6*c - 66 = 0. Let j be c\/4*(-4 + 20\/30). Calculate j*y(o) - 2*d(o).\nAnswer: 3*o**2 + o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 780 divided by 20?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1209*x - 637*x - 1716 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u. Let v be y(1). Let b(r) = 2*r**3 - 2*r**2 + 2*r. Calculate b(v).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 5, 158907 in descending order.\nAnswer: 158907, 8, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*x - 28*x - 3*x + (1 - 1 + 9*x)*(-3 + 0 + 1) - 7 + 6*x + 7.\nAnswer: -31*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -106*d + 10. Let p(a) = -105*a + 11. Let r(i) = 2*j(i) - 3*p(i). Let n be r(1). What is the greatest common divisor of 40 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -242.\nAnswer: 96.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4834 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 + 10*w - 16. Let m be b(8). Suppose -u = n - 8, m*n + 16 = 5*u - 3*n. Suppose u*v + 168 = -3*v. What is v rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zxc when three letters picked without replacement from {x: 1, z: 1, c: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1 and 0.0963582222807.\nAnswer: 0.1963582222807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 5 - ((27 - 15) + -11) - 7) + 93.\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -1, 233.9833, -2\/7, 2\/9, 4 in increasing order.\nAnswer: -1, -2\/7, 2\/9, 4, 6, 233.9833","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 - -22. Let m be (-4)\/l - (-16)\/7. Suppose -m*g = -5*r + 202 + 192, 0 = -4*r - 4*g + 332. Calculate the greatest common factor of r and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 703*o**3 - 6*o**2 + 11*o - 3. Let x(z) = z**2 + z + 3. Let a(b) = d(b) + 6*x(b). Find the second derivative of a(r) wrt r.\nAnswer: 4218*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.2, 1\/4, -2\/13, -69561?\nAnswer: -69561","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -665, -1337, -2009, -2681, -3353, -4025?\n\"Answer: -672*x + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -1 - 46*s + 4 + 0. Let k(p) = 47*p - 3. Let q(w) = -4*b(w) - 3*k(w). Is q(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 18 - 35 + x**2 + 5 + 8 + 4*x. Give a(-7).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l**2 + l - 1. Let j = -2 + -1. Calculate the remainder when 40 is divided by w(j).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -4*w + 60. Let t be j(13). Suppose -36474 = -t*h + 2*h. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1295*h**3 + 1471*h**3 + 22*h - 24*h.\nAnswer: 176*h**3 - 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 AM and 11:23 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add 386.45123947321 and -1.\nAnswer: 385.45123947321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -5*l**2 - 28*l - 139. What is t(-5)?\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16666 + 29159. List the prime factors of a.\nAnswer: 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1*(-21)\/(-9)*3. Let b(z) = 922448*z**2 - 7*z - 9. Let s be b(f). Suppose 2*n + 2*n - 4*c = s, -2*c = -4. What is n rounded to the nearest one million?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -729, -7\/26286, 5?\nAnswer: -729","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 52131?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 404573 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the first derivative of 0*u - 2\/3*u**3 + 4 + 0*u**2. Let w(h) = -2*h**2. Give x(w(j)).\nAnswer: -8*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a day in minutes?\nAnswer: 1680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 189*q**3 - 565*q**2 + 372*q + 4.\nAnswer: (q - 2)*(q - 1)*(189*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of v**7\/525 + v**6\/300 - v**5\/50 - v**4\/12 - 2*v**3\/15 - 5*v**2 + 5*v. Let k(y) be the first derivative of f(y). Factor k(z).\nAnswer: 2*(z - 2)*(z + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 143\/28 (b) -13 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:33 AM and 3:05 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -244\/3 + 82. What is the closest to 0 in 4, b, -5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 12) to base 2\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 2*t. Let k be d(-2). Let u be (-30)\/(-8)*(-4)\/6. Is k at most as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(63)\/sqrt(9)*2 + (-6*sqrt(70))\/sqrt(10))*4)**2.\nAnswer: 1792","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-6)\/(z*z**16))**(-30) assuming z is positive.\nAnswer: z**690","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -2*q**3 + 14*q**2 - 3*q - 14. Let l = -84 - -50. Let i = 40 + l. What are the prime factors of y(i)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19945 times -67.1?\nAnswer: 1338309.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -4*g**3 - 14*g**2 - 11*g - 12. Let b(i) = 9*i**3 + 29*i**2 + 22*i + 24. Let f(m) = -3*b(m) - 7*y(m). Let p be f(-10). Solve 0 = -p*x - 3*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 357944 to the nearest integer?\nAnswer: 598","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5033 + 0*x + 0*x + 18*x**2 - 5031 to the form d*x + z + n*x**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8699\/7 + 1243. What is the fourth biggest value in n, -4, 2, 4\/13?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - -58?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1023 and 69223.\nAnswer: 207669","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, b: 1, e: 1}. Give prob of picking 1 s and 1 e.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1171720254 to the nearest integer?\nAnswer: 1054","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - -4 - 13) + (-15 - -18).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nwnwn. What is prob of sequence wwn?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -123536 - -16?\nAnswer: -123520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*t**2 + 3*t**2 - 26*t**2 + (t - 3*t + 4*t)*(2*t + 0*t - 4*t) + (0 + 0 + 1)*(-1 + 1 - 2*t**2).\nAnswer: -18*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -120, 9, 5 in descending order.\nAnswer: 9, 5, 2, -120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*p - 1074 + 1170 = 0. Let x(a) = 7*a**3. Let k(s) = -56*s**3. Calculate p*k(o) + 49*x(o).\nAnswer: 7*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 103 + -106. Which is the smallest value? (a) r (b) 3 (c) -0.3 (d) 2.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rx when two letters picked without replacement from {x: 7, t: 1, r: 2}.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 129, 125, 119, 111, 101, 89?\n\"Answer: -y**2 - y + 131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:59 AM and 7:11 AM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 12*l - 9*l - 2*c, 3 = -l + 2*c for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -14.6693 and 0.143.\nAnswer: -14.5263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -441 - 1346. Let y = -16049\/9 - f. What is the common denominator of 10 and y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5557 - 1894. Is 5 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 m, 1 w, and 1 p when four letters picked without replacement from mwveecp?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12204072?\nAnswer: 2, 3, 169501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.21 (b) -1\/3 (c) -3 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7480651?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1052, -4, -11, 20 in ascending order.\nAnswer: -1052, -11, -4, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 960, 3814, 8578, 15258, 23860, 34390?\n\"Answer: j**3 + 949*j**2 + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 189 divide 69731?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-3\/5)*z\/z**(-2\/7))\/(z**0*z*z*z**(2\/11)))**(2\/7) assuming z is positive.\nAnswer: z**(-1152\/2695)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2969 - 3094.3. What is h rounded to the nearest ten?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -1462. Let h(p) = -325. Let b(g) = -9*h(g) + 2*z(g). Let m(f) = 5*f + 5. Calculate 4*b(w) - m(w).\nAnswer: -5*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18638?\nAnswer: 2, 9319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -7*r**2 + 44*r + 1. Give y(9).\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 426, 415, 390, 345, 274, 171, 30, -155?\nAnswer: -390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 - ((-72)\/20)\/3. Let u = -20.1 - -20. Which is the second biggest value? (a) z (b) u (c) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:51 PM and 12:07 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 106 - 107. Let v(u) = 2*u**2 + 3*u. Let w(c) = -c**2 - c. Suppose 6*n - 6 = 4*n + 4*q, -4*n - 2*q = 28. Determine g*v(r) + n*w(r).\nAnswer: 3*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 18947 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h - 2. Give d(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13.9 - -13. Round k to 0 dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 640499 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.6? (a) -1\/4 (b) 15226.3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*p**3 - 23*p**2 + 23*p**2)*(6304 - 38*p - 6304) + (0 + 3 - 1)*(0 + 1 - 2)*(0*p**4 - 2*p**4 + p**4).\nAnswer: -416*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -131693 and -6.2?\nAnswer: 131686.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 y when two letters picked without replacement from bydrrbyynrrrbbrr?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 999599 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmmmmmm. Give prob of picking 4 m.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a + 5*a + 0*a**2 + a**2 + (5*a + 10*a + 5*a)*(1 - 1 - 2*a).\nAnswer: -39*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -376, -976 in increasing order.\nAnswer: -976, -376, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 2*h - 157864, 4*h = 47 - 19. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -1) + (-9 - -3) + 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 168.3 - -47.7. Let a = -215.99999762 + j. Round a to 7 decimal places.\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a centimeter in millimeters?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 3*m**2 - 203*m - 20. Is v(-11) a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7049286 = -290*o - 7037106 for o.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a factor of ((-12446)\/(-21))\/14*(-492)\/(-8)*6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/((-75)\/(-20)))\/((-76)\/19)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (-9 + (-4 - (-14 - 5)))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*t - 80. Is 7 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -1487.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 15*g + 6. Let z(w) = 8*w + 3. Let h(o) = 3*v(o) - 5*z(o). Let n(u) = -14*u - 9. Give -11*h(s) - 4*n(s).\nAnswer: s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 7) to base 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -21*l**4 - 447357*l**3 + 45070002*l**2 - 100935372*l + 25169928 = 0.\nAnswer: -21403, 2\/7, 2, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 - 442*x + 12356. What is f(31)?\nAnswer: -385","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.50633 rounded to three decimal places?\nAnswer: -0.506","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 10172 and -0.3?\nAnswer: -3051.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5697334?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 239, 2135, 4023, 5897, 7751, 9579, 11375, 13133?\nAnswer: 14847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 6*k**2 - 2*k - 7. Let u be o(4). Let g = 76 - u. Put 4, 0, g in ascending order.\nAnswer: g, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 9692*q - 15184. Let p(g) = g. Determine l(p(w)).\nAnswer: 9692*w - 15184","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 842414?\nAnswer: 2, 421207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13213, 13191, 13169, 13147?\nAnswer: 13125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of k**6\/120 - k**5\/120 - k**4\/8 - 3*k**2. Let i(b) be the second derivative of d(b). Calculate i(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 16) to base 15\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 2\/5 (c) -11 (d) 2\/3251 (e) -23\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -77*s**2 - 16*s**2 - 76600 + 76602 - 2*s. Give a(1).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 253176263 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14*m**2 + 38*m**4 + 11*m**4 - 41 + 12*m**2 wrt m?\nAnswer: 1176*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 412510.\nAnswer: 2, 5, 7, 71, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16\/71 - -894\/3337. Let v = 1437.1 + -1436.6. Which is the nearest to i? (a) -3 (b) -2\/3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/((c**(-1\/7)*c*c)\/c))**(-49)*c**(-9)*c**(2\/19)\/c assuming c is positive.\nAnswer: c**(-321\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + -7381731?\nAnswer: -7381726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (25*2\/4)\/((-2)\/(-4)). Suppose 0 = 13*k - g*k + 100164. Suppose -3*n + k = -15653. Round n to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 + 22*h - 20. Let d be s(14). Suppose -4*k - d = -0*k. Let m = k - -78. Is m a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 75 and 8025?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20928 + 334915\/16. Find the common denominator of w and (-2)\/(-9) - (-1466)\/288.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/121 and -38*1\/(-220) - (-49)\/(-49)?\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*d = -5681 - 4444. Suppose 4*f = -f + b + d, -5*b + 225 = 3*f. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -26\/43395 - 11\/263. Are b and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4*-1 - (-96)\/6. Let w(n) be the first derivative of -3*n**2 - 7*n**2 + 21*n**2 - 10 - g*n**2. Let u(q) = -q**2 - q. Give u(w(a)).\nAnswer: -4*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 4104 a factor of 88932516?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*(3\/1 - 2). Let i = 92 + -90. What is the third derivative of 3*z**u + 3*z**3 + z**3 - 6*z**2 - z**i wrt z?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00020299885 to four decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Add -0.6130756406 and 5.\nAnswer: 4.3869243594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6238\/83 or 76?\nAnswer: 6238\/83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2331 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25 - 21. Suppose 0*p - p - 29 = 5*a, 0 = -a - q*p - 2. Let w be (-15)\/(-10)*a\/9. Which is smaller: w or 1\/19?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, 22, 11, 2\/7, -0.1146?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.3 + 3.3. Let g = -3.5 + x. Let j = -29.3 + 29. Which is the second biggest value? (a) j (b) 0.4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-15)\/190*-24 - 4\/(-38). Solve 2*c = 3*c + t for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 14*y - 7276*y**2 - 21 + 9.\nAnswer: -7276*y**2 + 14*y - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.07191 - -0.03191. What is the closest to v in 0, 1, 39?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -904*u. Let o(g) = -4*g**2. Determine o(i(h)).\nAnswer: -3268864*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 148748?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, 95 in decreasing order.\nAnswer: 95, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of s**8\/672 + 83*s**7\/420 + 81*s**6\/80 + 241*s**5\/120 + 5*s**4\/3 + 2*s**2 + s + 1815. Factor h(f).\nAnswer: f*(f + 1)**3*(f + 80)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 536b61 - -26?\nAnswer: 536b87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence us when two letters picked without replacement from {u: 4, t: 4, s: 2, b: 1}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -111211 (base 3) in base 14?\nAnswer: -1c9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 - z - 15. Let b = 33 - 29. Let j be ((-6)\/b)\/((-3)\/(-16)). What is the remainder when o(j) is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 4) to base 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, -6, 24, 4, -2 in descending order.\nAnswer: 24, 4, 3, 0, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 1 - 1)*(2703*g - 2067*g + 3392*g).\nAnswer: -4028*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = s + 705. Let o(p) = -p**2 + 36*p + 341. Let c be o(45). Let f = c - s. What is the highest common factor of 19 and f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + -1 + 1 + 107\/(2247\/(-105))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.3 (b) 108 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-66))\/(33\/(-15444)*-26)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z**5*z)\/(z\/(z\/(z*z**0*z*z)))*z**(-3)*z**6*(z*((z\/(z\/((z*z*z*z**(-1\/2)*z*z*z)\/z)))\/z)\/z*z*z*z**(2\/5))\/(z\/z**8*z**(2\/17)\/z) assuming z is positive.\nAnswer: z**(3703\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 55 - 73 - (-1 - 8)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 329082932 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: Suppose 5 - 17 = -4*q + 4*l, -3*q - 3*l = 3. Suppose 0 = -p + q, -2*r - 4*p = -2*p - 8. Suppose -42 + r = -3*f. Is 7 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1533817?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*m**2 - 8080685*m - 4309720 = 0.\nAnswer: -8\/15, 107743","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 2*k = 159 - 186, k = -2*o + 18. Suppose 0 = 4*p - 803811 - 1694589. Suppose o*l - l = p. What is l rounded to the nearest ten thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n**3 - 1239*n**2 - 337734*n + 680400 = 0.\nAnswer: -189, 2, 600","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = -4*b - 24, -5*b - 8 = n + 22 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -9*g - 15. Let y(k) = -4*k - 8. Suppose 0 = -5*w + 8*w + 9. Let p(n) = w*j(n) + 7*y(n). Suppose 10*a + 21 = -59. Determine p(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x**2 - 129*x + x**2 + 129*x.\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -261, 9\/5, -9, -2\/3, 0.05, 0.3?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**5 - 12*s**4 + 30*s**3 - 28*s**2 + 9*s.\nAnswer: s*(s - 9)*(s - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 l when three letters picked without replacement from {l: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 743 (base 12) in base 15?\nAnswer: 4a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1021 + -947. Let d(l) = l**3 - 10*l**2 - 7*l + 72. Let o be d(10). What is the highest common divisor of o and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(9\/12 - 2\/4). Suppose 0 = 3*z - a + 13, -2*z + 2*a + 3 = 13. Sort z, i, -8 in decreasing order.\nAnswer: i, z, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/4 of a gram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/6 + 14\/6. Suppose -5*u + 4*i = -72, s*u = u + i + 15. Does 9 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 49 - 29. Suppose -y + 2*n - 20 = -2*y, -4*y = -4*n - t. Solve -4*g - y = g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 + 11 - 7)*(-3 - 1 + 2)*(-7*q - 2*q - 3*q).\nAnswer: 528*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1449 and 1197.\nAnswer: 27531","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -3*o**3 + 143*o**2 - 1625*o + 1037. Give s(30).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -f - 3*y, 2*y = f + 4*y - 1. Let l(r) = -2*r - 11. Let w be l(-9). Which is greater: w or f?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 - 5*w**2 - 6*w + 5. Let q be c(6). Suppose -2*u + 5*u - 4*l + 15 = 0, 0 = 5*u + q*l - 10. What is the units digit of (-38)\/(-10) + u\/(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/28 and -5\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 170401434.\nAnswer: 2, 3, 7, 23, 419, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 4 = -6. Let o be (-3 - (-87)\/21) + x. Let 8\/7*n**3 - 4\/7 - 4*n**2 + 32\/7*n**4 - o*n + 2*n**5 = 0. What is n?\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 + 20*v - 16. Let g(f) = f + 1. Let c(l) = 4*g(l) + p(l). What is the tens digit of c(13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 147 and 49910.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1836 a factor of 476616420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 + 2)*(-2814*u + 1281*u + 1396*u).\nAnswer: -1096*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 5*p = -145 + 116, -f = -4*p - 21. Which is greater: f or -23?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -25 + 43. Solve -5*g + 4*q - 3*q = a, -6 = 3*q for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4137 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 4*o = -46, -4*a + 4*o = 186 - 102 for a.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 0.249321.\nAnswer: -0.1246605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42049 is divided by 186.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -z**2 - z**2 - 10*z**2 + (-2*z**2 - 3*z**2 - 2*z**2)*(40 + 58 + 20).\nAnswer: -838*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22*((-11520)\/176)\/(-45).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1412\/6*(-3)\/2. Let w = 2467\/7 + f. Let y be 3\/2*4\/(-3). Which is smaller: y or w?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 11510?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -u**3*v - u**3 - 4978*u*v**3 - 180*u - 19 wrt v?\nAnswer: -u**3 - 14934*u*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.7 + -4.64. Which is the closest to -0.6? (a) -3 (b) 2 (c) n (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47900 is divided by 570?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 2 + 7. Let a(l) = 6*l + 4*l - 6*l - w*l - 1. Let q(n) = -2*n**2 - 4 - 3 + 4*n + 3. Calculate 4*a(k) - q(k).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes before 1:09 AM?\nAnswer: 1:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide (-13 - (-104)\/(-8))*87\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 835 * -19\nAnswer: -15865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 48426 to the power of 1\/3, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 4 = -2*m. Suppose -3*l - 2*l = -m. Let z = -2\/21 + -1\/21. Which is the smallest value? (a) 2\/21 (b) l (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -433*m**2*v + 381*m**2 - 9*m - 155*v**4 wrt v?\nAnswer: -433*m**2 - 620*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2\/29025 - -290236\/203175. Factor -v*r**2 + 12\/7*r + 2\/7*r**3 + 0.\nAnswer: 2*r*(r - 3)*(r - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-20)\/(-2))\/(30\/36). Solve x - 5*x = -p for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 - 6*z**2 - 5*z - 10. Let p be q(7). Solve -d = -p*d - 9 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3 - 25*q**2 + 54*q.\nAnswer: -q*(q - 2)*(q + 27)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 + 6*c**2 - 4*c - 6. Suppose -u + 3*d = -17, 9*u + 5*d = 7*u - 10. Give z(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14\/5 - 1\/5*g**2 - g = 0.\nAnswer: -7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*g**3 - 24645642*g**2 + g**3 + 24645642*g**2.\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.5, -7, -4\/21, 15\/22?\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -28751632.5 rounded to the nearest one hundred thousand?\nAnswer: -28800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1658888821?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 213 a factor of 640094373?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6571, 6570, 6569, 6568?\nAnswer: 6567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1448 - 1349.3. Let l = 99 - r. Sort l, 4, 0, 5 in decreasing order.\nAnswer: 5, 4, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28 - 35) + (49 - 44) + (-10 - 0).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 3. Suppose -5*h + 24 = u - 128, -w*h + 2*u = -86. What is the greatest common divisor of h and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15308 + 15390 - ((1 - 52) + 2).\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 3:25 PM?\nAnswer: 11:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -121 + 124. Suppose 4*z + w*a = 255, -a - 138 = -2*z - 13. Does 63 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**2 + 865284*h + 62393033388.\nAnswer: 3*(h + 144214)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3396282?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -27 + 15 + -3 + (-5 - -2)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4794 to the power of 1\/2, to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/k**7*k**10 assuming k is positive.\nAnswer: k**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 960765083 to the nearest integer?\nAnswer: 987","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 6831731 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 5*x - 11 = 0, 4*x - 32 = m - 6*m. Let s(p) = -p**3 + m - 2*p**2 + 2*p + 0*p**2 - 2*p**2. Is s(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of -3*u**4\/8 - 3*u**3\/2 + 3*u**2 - 31. Suppose f(z) = 0. What is z?\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -3*p**2 - 2 + p**2 + 0*p**2 + 28*p. Let h(c) = 3*c**2 + 23*c - 22. Let y be h(-9). Let n be v(y). Is -7 greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that k**2\/7 - 58*k + 405\/7 = 0.\nAnswer: 1, 405","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/3, -6\/7, 0.05, 23?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4709 + -3367. Calculate the greatest common factor of 488 and u.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 756 and 816?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*m**4\/7 - 1106440*m**3\/7 - 5532132*m**2\/7 - 8851376*m\/7 - 632240 = 0. Calculate m.\nAnswer: -276605, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10.42 and -0.11.\nAnswer: 1.1462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-35))\/((1 - 2) + (-451)\/(-410)).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -394\/15, 2, -0.065?\nAnswer: -0.065","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 240787.\nAnswer: 19, 23, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 224 divide 849408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the third derivative of x**8\/336 - 13*x**7\/42 - 43*x**4\/8 - 53*x**2 - 2. Find the second derivative of i(r) wrt r.\nAnswer: 20*r**3 - 780*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7685 divided by 145\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 - q + 1. Let u(d) = 2*d**3 - 2*d**2 + 7*d - 6. Let w(x) = 5*p(x) + u(x). Let s be w(1). Suppose 5*h - 26 + s = 0. Sort -4, h, 1.\nAnswer: -4, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -87\/9430 and -29\/5658.\nAnswer: 28290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 120 = 2*a, 88 = -i + 4*i - 2*a. Let z = -32 + i. Are -4\/35 and z unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 4*x + 130, 4*k = 3*k - x + 71. What is the remainder when k is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**(-1\/48))\/x*x**(16\/3)*(x*x**38)\/(x\/x**(4\/3)) assuming x is positive.\nAnswer: x**(715\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, -3, 4, 5, 0, 691 in descending order.\nAnswer: 691, 13, 5, 4, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g - 1. Let k(u) = -5*u - 6. Let h(x) = -4*c(x) + k(x). Let r be h(-13). What is the greatest common factor of 22 and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 9, g: 5}. Give prob of picking 2 r.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 287*a + 76 - 72 - 331*a in the form g*a + d and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-3) + (-64)\/(-24). Let p = 5 - 2. Solve p*i - 7 = 2*h, b*h + 5*i + 0 - 19 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 7*z. Suppose -5*g - 5*b + 2*b = -22, 5*g - 2*b - 2 = z. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.4 + 28.6. Let o = c + -29. Is 1\/9 >= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-2\/3)*z*z\/(z*((z*z\/z**(-1\/5))\/z)\/z)*z)\/((z*z*z\/(z\/(z\/z**(-2)))*z)\/z)**38)**(-3) assuming z is positive.\nAnswer: z**(2818\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.6 - -0.4. Let i = -23308 - -139475\/6. Let t = 62 + i. Which is the second biggest value? (a) t (b) 0.2 (c) -5 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of 54 and -17344?\nAnswer: -936576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*q**3 + 33 + 19 + 24.\nAnswer: 7*q**3 + 76","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 4*h - 1)*(-28 - 36 + 13) to u + r*h and give r.\nAnswer: -204","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 123 + -111. Suppose 0*n = -4*n + z. What is the first derivative of 3*j**3 + 0*j**3 + j**n + j**3 - 50 wrt j?\nAnswer: 15*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.5 + 0.8. Let b = -1.45 + p. Let s = 0.05 + b. What is s rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 2 - 22. Suppose 0 = -5*c - f*c - 140. Calculate the smallest common multiple of (-110)\/c - ((-2)\/7)\/2 and 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/10 and 85\/88?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4022916 - 24?\nAnswer: -4022940","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0\/(-2) - -8) + -3. Suppose 2*m + 2*i + 2*i = 8, 3*i = n*m - 59. Suppose m = -2*l, r - 3*l - 14 - 15 = 0. List the prime factors of r.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**2 - 2*f + 2. Let m be i(2). Suppose 4*r + 2 + 2 = 0. Let x = m - r. Calculate the smallest common multiple of 5 and x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 39023681?\nAnswer: 67, 239, 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 30*x**3 + 211*x**2 + 278*x + 1893. What is l(-7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -94*u**2*w**6 + 8*u**2*w**4 + 581*u**2*w**2 wrt w.\nAnswer: -11280*u**2*w**3 + 192*u**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-3*(-41)\/1230*190?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 + -2 - 1) + -26 + 13?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 - 27 = -6*z. Suppose -z*y = -4*y. Suppose 4*t - 5*i - 13 = 5*t, 10 = 2*t - 2*i. Solve t*x + 4 = -y*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 - 2*c - 13. Is j(7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/15, 0.4, 0?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 152084.751 rounded to the nearest 1000?\nAnswer: 152000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g**3 - 128*g**2 + 6*g + 6. Let o(a) = -2*a**3 + 130*a**2 - 5*a - 5. Determine -5*k(f) - 6*o(f).\nAnswer: 2*f**3 - 140*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together -42253 and -0.57.\nAnswer: -42253.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, 1\/3, 99, -0.3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -847, -4, 5 in decreasing order.\nAnswer: 5, -4, -847","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10956251 is divided by 2191202?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 235 + 25*f - 10*f + 2*f**2 + 15*f**2 - 76. Let w(u) = -16*u**2 - 14*u - 158. Let j(x) = -5*h(x) - 6*w(x). Find the first derivative of j(p) wrt p.\nAnswer: 22*p + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of 11*t**8\/560 - t**5\/12 + 32*t**3\/3 - 7. Let x(r) be the third derivative of m(r). Find the second derivative of x(w) wrt w.\nAnswer: 396*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 127\/490 - 3210\/428*(-8)\/1470\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -2634, -5581, -8528, -11475, -14422, -17369?\n\"Answer: -2947*q + 313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*y**5 - 144*y**4 + 8385*y**3 - 115650*y**2 + 541068*y - 684216 = 0. What is y?\nAnswer: -86, 2, 6, 13, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 17\/(-4) + (-1)\/(-4). Suppose 3*w - 5*s = 10, 15 = -2*w + 7*s - 8*s. Let g be (2 + w)*(-1)\/i. Put g, -3, -0.2, -3\/7 in ascending order.\nAnswer: -3, g, -3\/7, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = x - 305, 3*x + 5*w + 625 = 5*x. List the prime factors of x.\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 484, 465, 424, 355, 252, 109, -80, -321?\n\"Answer: -c**3 - 5*c**2 + 3*c + 487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llh when three letters picked without replacement from hlhhhlhyl.\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24052.84 nanoseconds to milliseconds.\nAnswer: 0.02405284","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve k - 3 = 2*a, 4*a + a + 15 = 4*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1*-1 + -3)*-5. Suppose -w + 5*a - a = -5, 0 = -2*a. Suppose -w*f - 8 = -28. What is the highest common factor of f and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 4 = z, 0 = -3*z - 6*k + 3*k + 18 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 46 + -28. Find the third derivative of 3*i**2 + t*i**2 - 3*i**5 + 12*i**5 wrt i.\nAnswer: 540*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 584, 2580, 6420, 12524, 21312, 33204, 48620, 67980?\nAnswer: 91704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a second in milliseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-2 + sqrt(30)\/(sqrt(360)*-1))**2.\nAnswer: 8*sqrt(3)\/3 + 49\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*n**4 + 22*n**3 - 64*n**3 + 38*n**3 + 22*n**3 + 1760 wrt n?\nAnswer: -12*n**3 + 54*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 2, -1\/6, -0.3, -4\/5, -388?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qkeqqrqke. Give prob of picking 1 e, 2 k, and 1 q.\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2*j**2. Let i(u) = 8*u**2 - 48*u + 48*u. Determine x(i(w)).\nAnswer: 128*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -102? (a) 7 (b) -2 (c) 0.2 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a**2 - a - 6. Calculate p(0).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7679 - 55.327.\nAnswer: 7623.673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 429*a + 9887. Let s be w(-23). Solve 3*t - 83 = 2*n - 81, -s = -5*t for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 13878*m - 4419*m + 9.\nAnswer: -18297*m - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14375 - 14350. Solve z*m = 24*m + 6 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -15 + 7 + 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -111 + -220442?\nAnswer: -221103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3449601 months to millennia.\nAnswer: 0.000028746675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 30389 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1499?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(2736)*6 + sqrt(2736) - (sqrt(2736) + (2 + sqrt(2736) + 5 - sqrt(2736))))**2.\nAnswer: -3024*sqrt(19) + 886513","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 (base 12) in base 10?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 14\/(-8)*(-2 - (4 + -2)). Solve -4*w - 5 = b for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03725622 rounded to 2 dps?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 3*k - 5 = 2*k, 5*h + 4*k = 70. Let l = 1 + h. What is the greatest common factor of 88 and l?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from zzzzpzdzdzzmpz.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -1832*v**3 + 7*v**2 + 28*v - 7. Let j(i) = 611*i**3 - 2*i**2 - 8*i + 2. What is -7*j(x) - 2*r(x)?\nAnswer: -613*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(162) + -1)*-6 - (-1 + (-2*sqrt(162))**2)) + sqrt(162) + (sqrt(162) + 1)**2*1 + (1*sqrt(162)*1)**2)*6*6*1.\nAnswer: -11376 - 972*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -43 - -49. Is 8 > p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o. Let k(m) = 746*m**2 - 577. Determine k(t(n)).\nAnswer: 746*n**2 - 577","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**2 - 2*y.\nAnswer: y*(y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 5*d**3 + 6*d**2 + d + 4. Let c(n) = -9*n**3 - 12*n**2 - n - 7. Let y(p) = 6*c(p) + 11*h(p). What is y(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 21 + 1\/1*1. Suppose 0 = -4*c + 2*t + d, -5*c + 10*c + 2*t - 23 = 0. Suppose -3*g - 18 = -4*n, -n - c = 3*g - 17. Solve 0 = -o + n*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 3*x**2 + 19*x - 12. Let w be b(-7). Let f be (1\/w)\/((-1)\/(-68)). Let p be 30\/10 + (-104)\/f. Is 0 bigger than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 280786358 rounded to the nearest 10000?\nAnswer: 280790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -50, -306, -854, -1838, -3402?\n\"Answer: -24*p**3 - 2*p**2 - 82*p + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19445532?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 150 and 4809090?\nAnswer: 24045450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.672 and -64.549405044.\nAnswer: -63.877405044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.46483 and 64512.23?\nAnswer: 64511.76517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 524 = -4*w + 214, -2*w = 6. What is the remainder when 335 is divided by y?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/15, 562, 3, 40?\nAnswer: 562","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u - 0*l + 5*l, 0 = -5*l - 25. Let i be 12*(u - (-80)\/15). Solve -13 - 7 = -i*x, v = -2*x + 9 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 (base 12) in base 9?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -11*g**3 + 57*g**2 + 316*g - 1633. Give n(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 37*o**5 - 219*o**2 - 19687*o.\nAnswer: 740*o**3 - 438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z. Let h(o) = o - 5*o + 2*o + 2 - 6*o. Calculate -h(x) - 6*v(x).\nAnswer: 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/147363 and -13\/56292666.\nAnswer: 56292666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -22\/419833 and 33\/19468.\nAnswer: 263655124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -333*p**3 + 18*p**2 + 8*p + 1587. Let v(d) = -337*d**3 + 16*d**2 + 7*d + 1591. Let x(s) = 8*n(s) - 9*v(s). Differentiate x(u) with respect to u.\nAnswer: 1107*u**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -16, -28, -42, -58, -76?\n\"Answer: -y**2 - 9*y - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*s - j, j = 5*s - 2*j - 10. Suppose 18 = 4*c + 2. Sort c, s, 0.\nAnswer: 0, s, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 + 7 - 30)*(3 + 2 - 7)*(-2*z + 0 + 0).\nAnswer: -40*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a and 1 z when four letters picked without replacement from {d: 1, z: 1, a: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 535 or 9072\/17?\nAnswer: 9072\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 15 = 3*i. Suppose -4*h = 12, i*v - 2*h = 4*v + 22. Do v and -16 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.02 - -6. Let z = x - 0.08. What is the nearest to z in 4, 2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1391 (base 10) to base 15\nAnswer: 62b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 21 and 57?\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2516 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than 32\/93?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 377 is divided by 97?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the first derivative of -2*d**2 - 7933. Let g(c) = 160*c**2. Determine v(g(h)).\nAnswer: -640*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -345 + 520. Calculate the remainder when m is divided by 92.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-154 - (-185 + 64)) + (2 - -42).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 - ((-15)\/(-6))\/(-5). Factor q - 1\/4*v**2 - 1\/4*v.\nAnswer: -(v - 1)*(v + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 32.2 in 13\/2, -2\/3, 0?\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -3, 1, 619, 9.\nAnswer: -3, 1, 3, 9, 619","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4601, -3651, -2693, -1721, -729?\nAnswer: 289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jijjijiijjji. Give prob of sequence jjj.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/18 - 3 - (118 - 107 - (-71)\/(-6))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.406410697 rounded to three decimal places?\nAnswer: -0.406","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 + f + 126 - 126. Let p(y) be the second derivative of -y**4\/6 - y**3\/2 - y. Let w(s) = -3*j(s) - p(s). Let n(m) = -3*m**2. Give n(w(k)).\nAnswer: -3*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -7189\/6 > -1197?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) be the third derivative of 0*t + 1\/1680*t**7 + 2*t**2 + 1\/12*t**3 + 13\/480*t**5 - 29 + 1\/16*t**4 + 1\/160*t**6. Find y, given that u(y) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 + 7*q**2 + q + 2. Let p be o(-7). Let f = 2 + p. Let k be 0\/2 + (149997 - f). Round k to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + -28?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -150, 111, -3, 1 in decreasing order.\nAnswer: 111, 1, -3, -12, -150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-2))**(4\/7)\/((o*o**(-7)*o)\/o**(-4)))**(5\/3) assuming o is positive.\nAnswer: o**(5\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -295046\/45 - -75904\/9. Is 1876 > j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -5296, -1\/10 in decreasing order.\nAnswer: -1\/10, -5, -5296","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -a + 2*a. Let z = 5 + a. Suppose z = -3*s - 3*h + 309, 0*h = -5*s + 5*h + 525. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 3*l = 26, -2*l - 18 = -5*g - 24. Solve 5*y - 21 = -3*a + 13, -g*y = -5*a + 5 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 134989 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42546 is divided by 24.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 32*q**3 - 11*q**2 + 20. Let k(y) = -11*y**3 + 4*y**2 - 7. Determine 4*c(r) + 11*k(r).\nAnswer: 7*r**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(2744) + sqrt(56))\/((sqrt(96)*1)\/sqrt(12)).\nAnswer: -6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -2*g, -2*n + 0*n - 5*g = -9. Put n, -2, 6 in increasing order.\nAnswer: -2, n, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*u - 9 = -57*u - s, 4*u = 2*s + 6 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v - 4 + 4)*(0 + 2 - 1)*(5*v + v - 19*v).\nAnswer: 26*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 60598 divided by 353?\nAnswer: 60598\/353","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -6*x - 4. Let f(g) = -11*g - 7. Let r(p) = 4*f(p) - 7*k(p). Suppose -4*q + 20 = -56. Let o(j) = 45*j - 59*j - q*j. Give r(o(d)).\nAnswer: 66*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of y**6\/120 - y**5\/15 - 3*y**4\/8 + 17*y**3\/6 + 1947*y**2. What is u(5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-5))\/((-7)\/(-70)*-5)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(1900)*-2 - (-2 + -1*sqrt(1900)))**2.\nAnswer: -280*sqrt(19) + 93104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58 = -9*g + 22 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18418397 + 221251535\/12. Let s = r + -19219. Calculate the common denominator of 87\/148 and s.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 greater than 7.33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/134, 0.1, 1.22, -2\/5?\nAnswer: 3\/134","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13299080*o**3*t**2 + 4*o**2*t**2 - 2*o**2*t + 2401*t**2 - 8 wrt o.\nAnswer: -79794480*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 - 13*l**2 + 12*l + 14. Calculate t(12).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -3*r - 0*i + 5*i, 2*i + 10 = 0. Let d be r + 1 + (-16)\/(-4). Let b = 102 + -62. Calculate the greatest common divisor of d and b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + 2*g + 12, -1 = n - 0*n + g. Suppose -1 - 7 = 2*i. Which is the biggest value? (a) 5 (b) n (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**4 - 801*x**3 - 2421*x**2 - 2427*x - 810.\nAnswer: 3*(x - 270)*(x + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 5*(-3*(sqrt(2420) - (sqrt(2420)*1 - sqrt(2420))) - sqrt(2420)))**2.\nAnswer: -3520*sqrt(5) + 968016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -279*d + 317*d - 115 = 3*o, -4*d - 3*o + 62 = -33 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -23*s**2 - 1776*s - 8269. Calculate n(-5).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 510, 1021, 1532, 2049, 2578, 3125, 3696?\nAnswer: 4297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -3*k - 2. Let f be 489\/6 - (-2)\/(-4). Let j = f - 51. Calculate the remainder when j is divided by c(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -3*s - 2*s + 15 + s - 4. What is the tens digit of u(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - -2 - (5 + -2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/(d**(-32)\/d)*d\/(d*d**(-30)\/d)*d*d**(-2\/61)*d*d\/((d*(d\/d**(3\/7))\/d)\/d) assuming d is positive.\nAnswer: d**(29205\/427)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-2\/15)\/n)\/((n**(-2\/3)*n)\/n*n)*(n*n**(-1\/4)*n)**(-2\/15) assuming n is positive.\nAnswer: n**(-17\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-31)\/(10199\/(-196))*(-507)\/(-2366)?\nAnswer: 6\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*m = -4*v - 20*m + 31, -m = -3*v + 22. Suppose v*f - 1910 = 526. Is 23 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -2, -23, 0.3, 4\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 10033 = -5*r + 2*d, -4*d = 3*r - 6011. Let h(u) = -7 + u - 7*u**2 - r*u**3 - 9*u + 2008*u**3. Give h(-5).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 136978*o - 273943*o + 136967*o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 - x**2 + x**2. Let p(t) = 4*t**2. Let a(g) = 3*g**2. Let d(w) = 7*a(w) - 5*p(w). What is d(u(y))?\nAnswer: y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1 - (0 + -3)\/3. Let v(t) = -t + 7. Let x be v(5). Suppose d = -x*g - 0*g + 8. Calculate the greatest common divisor of 4 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 274792123 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13\/12 + 4\/3. Suppose 2*i + 4*k - 23 = i, 5*i = -5*k + 70. Suppose 0 = 5*z - 1 + i. What is the nearest to v in 2, z, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:48 AM and 7:26 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -730378180 divided by 59116?\nAnswer: -12355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44176 = 6*q - 32870. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -3*s - 2. Let h be 0 - (-7)\/(-3)*-3. Suppose 4 - h = -p. Suppose -p + 0 = -j. Let v(f) = -2*f - 2. What is j*n(q) - 4*v(q)?\nAnswer: -q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5609707 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (((-56)\/(-14))\/((-3)\/33))\/(1\/(-412)).\nAnswer: 2, 11, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 52 + -52.0508. Let w = p - 0.0492. What is the third smallest value in -0.2, w, -2\/7, -0.6?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 45*n. Let u(t) = -50*t + 1. Determine u(o(z)).\nAnswer: -2250*z + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 7740 divided by -430\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 18073.007528402+0.29\nAnswer: 18073.297528402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*q**2 - 22*q**2 - 9*q**2)*(726*q - 108*q + 38*q).\nAnswer: -29520*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/16*(-9)\/18)\/(1\/(-5))?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17444 + -2232. What is the highest common divisor of 4 and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28987.\nAnswer: 7, 41, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -5*k**3 + 2*k**2 + 6*k + 5. Calculate z(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(2450) + 4)*2 + 1*sqrt(250)\/(sqrt(5) - 2*sqrt(5)*-1))**2.\nAnswer: 4300*sqrt(2)\/3 + 93350\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.45 - -0.51. Let z = c + -0.35. Let f = -0.11 + z. What is the biggest value in -0.3, f, -0.4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 + 9\/((-72)\/392) + 5411\/259?\nAnswer: -4\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -4*x**3 - 4*x**2 - 2*x + 3. Let f(o) be the third derivative of -o**6\/24 - o**5\/20 - o**4\/12 + 2*o**3\/3 - 2*o**2 + 19. Calculate 3*f(v) - 4*i(v).\nAnswer: v**3 + 7*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 72842942 to the nearest integer?\nAnswer: 418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 - 13. What is the smallest value in -0.4, -2, a?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:02 AM and 4:57 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eee when three letters picked without replacement from wweewekk.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (339\/(44070\/(-104)))\/((-2)\/(-235)).\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + m = 9, -3*m = 61*h - 57*h - 19 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (88\/66)\/(4\/3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -242 divided by -11?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -419, -291, -143, 19, 189, 361, 529?\n\"Answer: -g**3 + 16*g**2 + 87*g - 521","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 3 = -4*o, 0 = 5*n + 5*o - 53 + 18 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 - -1)\/1 - (-35 + 2049). Let z = 3412 + b. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6335\/45250*4\/(-7)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 + -17. Suppose -37 = -3*u + 4*c - h*c, 5*c = 10. List the prime factors of -219*(-5)\/u*1.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/7 smaller than -650\/3851?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 PM and 5:35 PM?\nAnswer: 253","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/4)\/((-29 + -391)\/(-60))?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 136 = -3*x. Determine w so that 12*w**2 + x*w**4 - 17 + 41*w**4 + 17 + 60*w**3 = 0.\nAnswer: -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 1, v: 3}. Give prob of sequence vvqv.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -689398*t**2. Let d(c) = -2*c. What is l(d(o))?\nAnswer: -2757592*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a litre in millilitres?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 26, 69, 132, 221, 342, 501?\n\"Answer: w**3 + 4*w**2 + 24*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x. Let i(v) be the third derivative of -v**4\/4 + 3*v**2. Determine c(i(n)).\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-2\/5))**(-47)\/(p*p*p\/(p*p\/(p*p**(3\/11)))*p*(p\/p**(-11))\/p))**(-46) assuming p is positive.\nAnswer: p**(107456\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the third derivative of u**8\/48 + 31*u**6\/40 + 101*u**5\/60 - 8*u**3\/3 - u**2 + 1623*u. What is the third derivative of i(s) wrt s?\nAnswer: 420*s**2 + 558","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 40*f**3 + 5 + 36272*f - 36272*f as a*f + s*f**3 + l + p*f**2 and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together 12736 and 4.\nAnswer: 12740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 204323\nAnswer: 2\/204323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of -y**3 + 2*y**2 + 0 - 1\/24*y**4 + 0*y. Determine s(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -14 + 14?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*i = -50*i. Let f be 1*(i\/4)\/(-5). Suppose f = 2*l + 3 + 21. Which is smaller: -10 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + -954a5?\nAnswer: -954a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3266295899 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(21) - (sqrt(105)*3)\/sqrt(5)))\/(-3*sqrt(6)\/sqrt(2)*-4))**2.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -30 (base 9) to base 14\nAnswer: -1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + 4. Let k = b + 1. Suppose k*t + 101 = 871. What is the greatest common divisor of t and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -709, -1439, -2163, -2875, -3569, -4239, -4879?\n\"Answer: k**3 - 3*k**2 - 728*k + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the first derivative of -h**5\/10 - 5*h**2\/2 - 4*h - 1. Let o(j) be the first derivative of v(j). Find the first derivative of o(l) wrt l.\nAnswer: -6*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 752 is divided by 45?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + -21 - (-3 + -1 - -3 - 11)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 140 = d + 2*i, -4*d = -i - 99. Suppose 0*u - 3*u = 6. Let f be 2 - (1704\/(-18))\/(u\/(-6)). What is the greatest common factor of f and d?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 136915?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 511*z - 5610. What is b(11)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -870, -881, -906, -951, -1022, -1125, -1266?\n\"Answer: -m**3 - m**2 - m - 867","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 5*v + 2. Let c = -2 + 4. What is the remainder when 23 is divided by z(c)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a kilogram in milligrams?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 70560 (b) 91 (c) -2\/9 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -39553, -39672, -39791?\n\"Answer: -119*n - 39434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18735, 18322, 17909, 17496, 17083?\nAnswer: 16670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**1)**0*(c*c\/c**(2\/3))**(-3\/11) assuming c is positive.\nAnswer: c**(-4\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -5*h**2 + 4*h - 4. Let y(g) = 6*g**2 - 5*g + 4. Let f(l) = -5*b(l) - 4*y(l). Let n be f(-4). Solve 4*s + 0 = n for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 4 = -7*a + 3*a, a = -2*j + 10. Suppose f + 3 = -2*o, -2*o + 5*f = j - 31. Let h(w) = 8*w**3 - w + 1. Calculate h(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c**1*c))**(17\/6)\/(c**(3\/4)\/c**(-1\/3))*(c**(-3)\/c**(-4\/5))\/(c**(2\/7)*c**0) assuming c is positive.\nAnswer: c**(-2689\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - -1. Find the first derivative of l - 2*l - 10 - f*l wrt l.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -6*t**3 + 15*t**2 - 11*t + 18. Let q be w(16). Let h be ((-184)\/(-6))\/((-4)\/(-1134)). Let g = q + h. What is g rounded to the nearest one thousand?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -3*j**2 - 96*j - 183. What is t(-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 - 81*s - 6557. Calculate u(131).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 52951 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-98.\nAnswer: -392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 40344*k**4 - 36541.\nAnswer: 161376*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 136*u**2 - 204*u**2 - 9 + 69*u**2 + 66.\nAnswer: u**2 + 57","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28 + 15. Let o = n + 8. Which is the closest to 1? (a) 3 (b) o (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**3 - l**2 - 2*l + 46. Let n be w(0). Let r = n + -393\/10. Calculate the common denominator of -21\/10 and r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 19*r**2 + 18*r**2 - 44*r**2.\nAnswer: -45*r**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -2*p**3\/17 - 6*p**2\/17 + 32*p\/17 - 24\/17 = 0.\nAnswer: -6, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 341, 340, 339, 338?\n\"Answer: -h + 342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 1, -51, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1329681?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5, -6.5, 0.5, -1?\nAnswer: -6.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 1 + 3. Let y(o) be the first derivative of 16\/3*o**3 + 0*o**2 - 218 - o. What is y(n)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 473293.1cm to micrometers.\nAnswer: 4732931000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 140.36 + -138. Let y = w + -1.86. What is the second biggest value in -0.1, 118, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*p - 20*p + 69*p - 26*p.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 14 = -2*c. Let w(j) = -3*j**3 - 175*j**2 + 120*j + 153. Let n be w(-59). What is the highest common divisor of n and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -6*v**2 + 4*v. Let n be i(3). Calculate the smallest common multiple of 22 and n\/(-4) + (-1)\/2.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -200838 divided by -100419?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 27*i - 9. Let x be n(10). Let p be (-3156)\/2630*(-40)\/6*174\/4. Calculate the highest common divisor of p and x.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -7*x**3 - 93*x**2 + 17*x - 21. Let j be h(-14). What is the greatest common factor of j and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 192 - 5*m**2 - 192 + 4*m**2.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 1839.551189 to zero dps.\nAnswer: 1840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.2 (b) 0.4 (c) 0.04 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 - 321 - (9 - (-2 + -2))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 47 - 48*d - 47 to the form x + v*d and give v.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 3 = 10*l - 7*l, 5*o = l + 18. Solve 12*v - o = 13*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -203, -342, -341, -128, 369, 1222, 2503?\n\"Answer: 12*w**3 - 2*w**2 - 217*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1297\/1490 - 21\/298. Let d(s) be the first derivative of -12 - 2\/15*s**3 + q*s - 1\/5*s**2. Let d(l) = 0. What is l?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -358072 or -358071?\nAnswer: -358071","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-15)*4\/84*-10\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 - 2*x**2 + 4*x - 1. Is j(3) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 965 minus 0.18?\nAnswer: 964.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - -2 - (-47 - (-8 - 35)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 35, -3, 2\/119, -2, 1?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, b: 7, e: 2, u: 1, w: 1}. What is prob of sequence ufb?\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -38\/3 - -13. Let z = -813046\/19 - -42658. Let w = z - -134. Which is the nearest to 2\/3? (a) -3 (b) j (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13960219?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19877365?\nAnswer: 5, 3975473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-41 - 4030\/(-78))*6\/16. Let g be ((-2)\/(-15))\/((-2)\/20). Put z, -42, g in ascending order.\nAnswer: -42, g, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.08 in 6, 5, 0.3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1017981\/241 + 4224. Let n = o - 3175\/3374. What is the common denominator of n and -21\/26?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14932, 14275, 13618?\nAnswer: 12961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2050*f + 69*f - 255*f)*((-2 + 2 - f)*(-f - 3*f + 3*f) + f**2 + 0*f**2 + f**2).\nAnswer: 5592*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 158*i + 1608. Let q(a) = -a**2 - 6*a - 7. Let n be q(7). Let c = 97 - n. What is the remainder when c is divided by u(-10)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -10268, -10232, -10210, -10208, -10232, -10288, -10382, -10520?\nAnswer: -10708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3517278 nanometers to micrometers.\nAnswer: 0.0003517278","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/3 - 7\/(-3). Suppose 18 = -3*j + 2*u + 613, 4*j - 798 = -s*u. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = -25, 8 = 2*v + 4807*r - 4805*r for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 7*s = -2*t - 13, 0 = -5*t + 5*s - 15 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/7, 5, 19?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 1\/5170552?\nAnswer: 1\/5170552","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3051 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -5*a - 1. Suppose -5*s + 10 = -5*g, s + 0*g + g + 6 = 0. Let z be n(s). What is the third derivative of 8*r**5 - 9*r + z*r + 6*r**2 wrt r?\nAnswer: 480*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18659 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*c = -15*c + 4. Suppose -5*q + 118 = 2*n + 21, 92 = 4*q - c*n. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 167*b - 160*b. Suppose -u + 2*u = 0, -b*m + 3 = -5*u. Let i be (1 - 12\/10)\/(63\/105). Is m <= i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 minus 59.5?\nAnswer: -78.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**4\/3 + 442*n**3\/3 + 431*n**2\/3 - 4402*n\/3 + 1176 = 0. Calculate n.\nAnswer: -441, -4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 1008*d**2 + 623*d - 42. Let i(p) = 252*p**2 + 156*p - 10. Let q(w) = -21*i(w) + 5*t(w). Find the second derivative of q(v) wrt v.\nAnswer: -504","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/3*(-30)\/(-20). Suppose 3*x - 15 = g*x. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/6 + 32\/6. Let u = 9 - d. What is the smallest common multiple of (-27)\/6*(-4)\/u and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 4 = 3*q + 3, 4*q - 4*a - 12 = 0. What is the remainder when 1 is divided by q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1258)\/(-666) - 5\/3. Is h less than or equal to -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 209 and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/47? (a) -1\/3 (b) 8 (c) 289\/5 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 178 - 44 = 0. Suppose -4*b + 2*w = -130, -2*b - 5*w = -l - 28. Let o = 51 - b. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 241 to the power of 1\/6, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v**4\/7 + 9*v**2 - 60*v\/7 = 0. Calculate v.\nAnswer: -5, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1100 divided by 275?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wzplwrwwwz. What is prob of sequence wp?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-7 - 7*n + 7)*(4 - 1 - 5) - 5*n + 0*n - n)*(1 - 2 + 2)*(-3*n + 0*n + 4*n).\nAnswer: 8*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 PM and 5:45 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 0*r + n + 834 = 0, 4200 = 5*r + 5*n. What is the greatest common divisor of r and 124?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -c - 5 - 0, 0 = -4*l - 2*c - 10. Suppose 2*w = -l*w + 14. Calculate the lowest common multiple of 9 and w.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 302, -5.02, 0.3 in increasing order.\nAnswer: -5.02, 0.3, 302","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lfifliifiliflifif. What is prob of picking 2 l?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 168167?\nAnswer: 211, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110 + -110100?\nAnswer: -111010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 117836 - 66741 + 969*w + 48*w**2 - 66701 - 3*w**3 = 0.\nAnswer: -18, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 376.9 + -376.9. Which is the closest to -19? (a) h (b) -4\/5 (c) 3\/2 (d) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*h + 25 - 805. Calculate the remainder when 298 is divided by h.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*b - 693 = 51*b for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 21*y = 8228. Calculate the highest common divisor of 34 and y.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -2*g + 12. Let t(d) = -3*d - 2. Calculate t(g).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2845.4616 and 10521.\nAnswer: 13366.4616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 97 and 5616203?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 620 (b) -7 (c) 0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 527 is divided by 66.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 486\/11 + -221\/5. Are t and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1864 divided by 6\nAnswer: -932\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 153 = 4*g. Suppose 3*u - g = u. What is the remainder when 57 is divided by u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = -4*l - 39 + 4, 5*c = 2*l - 15 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 = 41*y - 42*y - 3*q, 0 = -4*y - q + 254. What is the greatest common factor of 560 and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46679 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/7520 and -29\/8000?\nAnswer: 376000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, -1\/521, -0.82, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in five quarters of a week?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((-3*(sqrt(108) - (sqrt(108) + 0 - sqrt(108))) - (4 + 1 + sqrt(108))) + 1 - (-5 + 3*4*sqrt(108)*1)))**2.\nAnswer: -6912*sqrt(3) + 995364","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1278550177 to the nearest integer?\nAnswer: 35757","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -88*g - 3 + 1 - 73*g.\nAnswer: -161*g - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 13 + 7. Suppose -33*i + 29 = -1 - 3. Solve 0 = u*g - 2*h + 9 + i, -h - 21 = 4*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 6:58 AM?\nAnswer: 10:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -677503.93?\nAnswer: 135500.786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 506 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:52 AM and 5:04 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -3130 rounded to the nearest 1000?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 2 h when three letters picked without replacement from {i: 1, h: 3, z: 2, y: 3, t: 1}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 6\/14 + 519\/210 and 7\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/sqrt(2)*2 - (sqrt(720) + -1))**2 + (-1 + sqrt(15)\/sqrt(3))**2 + sqrt(5) + (-2*sqrt(500))**2 + sqrt(5).\nAnswer: -20*sqrt(5) + 2507","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(-2)*p)\/(p**1*p))**(2\/17) assuming p is positive.\nAnswer: p**(-4\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -47.741675 rounded to the nearest integer?\nAnswer: -48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 168\/(-96)*(-1 + -31). Calculate the highest common divisor of 322 and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 + 1b449?\nAnswer: 1b446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -73.249307 + 11775.\nAnswer: 11701.750693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 20, 250, -133 in descending order.\nAnswer: 250, 20, 4, -133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(1700) - (sqrt(1700) + 2 + sqrt(1700))))**2 + (4*(sqrt(17) - -2*sqrt(17)))**2 + -5.\nAnswer: 160*sqrt(17) + 9259","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 599 > 28105\/47?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 AM and 4:13 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -615530 smaller than 6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1441460471?\nAnswer: 11, 7457, 17573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 167?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1624 is divided by 204.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ap when two letters picked without replacement from {a: 10, p: 1, r: 9}.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -11221 (base 5) to base 13\nAnswer: -4a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -18*g**2*x**2 - 4*g*x**2*y + x**2 + 88*x*y - y wrt g.\nAnswer: -36*g*x**2 - 4*x**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-9)*18\/(-150)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -i**2 + 9*i. Let k(u) = 4*u - 3. Let f be k(3). Let v be q(f). Let a(o) = -o**2 + o + 123. Is a(v) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes before 4:06 PM?\nAnswer: 5:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*f**5 + 70*f**4 + 21*f**3 + 107*f + 5*f**2 - 107*f + 14*f**3 = 0.\nAnswer: -1, -1\/2, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - j + 9 = 0, p + 2*p - 5*j - 43 = 0. Let q = -21 + p. Calculate the remainder when (2 - -13)*q\/(-3) is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - -3. Let r(q) be the second derivative of q**3\/6 - 3*q**2\/2 - 2*q. Let s be r(h). Solve -c + s*c + 1 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10 + 18. Suppose -34 = -d*p + 6. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 2*b**4\/21 - 108*b**3\/7 + 30*b**2 + 1612*b\/21 - 640\/7 = 0.\nAnswer: -2, 1, 3, 160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.85, 0, -1 in decreasing order.\nAnswer: 0, -1, -1.85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2503131131 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-3))\/t**(-2)*(t**(1\/2)*t)\/t**7)\/(t\/((t**(-6)*t)\/t)*t**(2\/3)\/t*((t\/(t**(-5\/2)\/t*t))\/t)\/(t\/(t*t*t**(3\/4)\/t))) assuming t is positive.\nAnswer: t**(-185\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 43 - 6. Let t be -9 + y + (-1 - -3). Suppose 0 = 12*l - 9*l - t. Calculate the lowest common multiple of l and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 7 + 2. Suppose -5*b = -g - 25, -2*g + 32 = i*b - 6*g. Suppose -b*m + 23 - 7 = 0. Is 2 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*n**3 - 2*n**2 - 77*n*p + 10*p - 16 with respect to n.\nAnswer: 6*n**2 - 4*n - 77*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 - 3. Let r be (-1)\/k*(2 + -4). Solve 1\/4*j**3 + r*j**4 + 0*j**2 + 0*j + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -35 + 35. Let z be 1\/6*(-9)\/(-2). Find j such that -z*j**4 + 1\/4*j**2 + p - 1\/2*j + j**3 = 0.\nAnswer: -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3669 = -10*p + 9*p. Suppose -5*v + p = -2*f + 3*f, 0 = v + 5*f - 729. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.2 (b) -2\/5 (c) 22 (d) -5 (e) 277\/26 (f) 2\/11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3016472l in millilitres?\nAnswer: 301.6472","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y. Suppose n - 4*n = -15. Suppose -4*c + 4*f = -24, n*c + 0*f - 29 = 4*f. Let u(x) = 3*x + c*x - 4*x - x. Determine u(w(j)).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-648)\/32 + 76 + (-18 - 37)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 228*s - 6 = 225*s. What is the third derivative of -10*r**3 - r**4 + 3*r - 4*r - r**4 - 11*r**s - r**4 wrt r?\nAnswer: -72*r - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.38 + -1.28. Let g = 6\/1013 - 8542\/73949. Is d < g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -287, -1272, -2907, -5186, -8103?\nAnswer: -11652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -0.039 (b) -23.1 (c) -0.2 (d) -3 (e) 2\/35 (f) 0.3 (g) 4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -109 + 128. Suppose -d*y = -24*y + 40. Let r be 2703\/6 + y\/16. What is the highest common divisor of r and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 - 2*n**2 - 2*n + 1. Let v be (-1)\/(1\/2*-1). Let x be p(v). Let m = -1 - x. Solve -h = m*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2377001.\nAnswer: 11, 216091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the third derivative of b**5\/30 + 4262*b**2. Let g(u) = 2*u - 2769. Calculate z(g(m)).\nAnswer: 8*m**2 - 22152*m + 15334722","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2908.\nAnswer: 2, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 20020342223 + 14?\nAnswer: 20020342242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5747*-0.4\nAnswer: -2298.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -380 + 553. Let t = q - 83. What are the prime factors of t?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.2529499 rounded to 2 decimal places?\nAnswer: -3.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*l**3 - 64*l**3 - 9 - 7 + 24.\nAnswer: -52*l**3 + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -469*z + 0 + 0 - 912*z.\nAnswer: -1381*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 8) in base 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -922 - 543 = -5*v. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*m - 4*m = -63. Let p(d) = -27*d - 134. What is the remainder when 107 is divided by p(m)?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-30)\/(-7) + 8\/(-28). Suppose -l*g = -2*g - 16. What is the least common multiple of 1 and g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 + 7*k - 4. Let s be l(4). Let v(f) = -2*f**2 - 17*f - 18. Let o be v(-7). Suppose -s + 26 = -o*b. Let c(d) = d**2 + 7*d + 4. Give c(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10639?\nAnswer: 10639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (12 + -16 - 7 - -8)) + 28.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21 + -23. Let u be (-22)\/33 + n\/(-3). Let j be (u\/2)\/(18 + -14). Which is smaller: -2\/19 or j?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(720) + (sqrt(720) + -1)**2 + (sqrt(320) - (sqrt(320) + 0)**2).\nAnswer: -4*sqrt(5) + 401","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000015079508 rounded to 7 decimal places?\nAnswer: 0.0000151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 720\/5*(-713)\/(-5704).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -224 = -90*f + 62*f for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*x**4 + 506*x**3 - 1093*x**2 + 704*x - 108 = 0 for x.\nAnswer: 2\/9, 1, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 - 7*a**2 - 12*a - 3. What is o(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 - -22. Let z = d - 3. Calculate the common denominator of 37\/2 and (-98)\/z + 8\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 168*t**2 + 3*t + 1. Let z(d) = -d**2 + 5*d + 4. Let q be z(6). Is s(q) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 5*s = 0, -4*s + 7*s = -4*l. Let j be (-1)\/(-2)*l\/(-5). Suppose -x - 3*x = j. Solve x = c + c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 58\/615225 and -53\/17037.\nAnswer: 5537025","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 AM and 9:22 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 185 + 129 = 0. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 28501248?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (4\/8*8)\/(3\/(-1))\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -3, 1\/2, 0.3, 5, -0.81?\nAnswer: -0.81","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 447939.1 centuries in decades?\nAnswer: 4479391","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 14, 7, 0, -7, -14?\n\"Answer: -7*f + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 8:04 PM?\nAnswer: 12:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 244.3629kg?\nAnswer: 0.2443629","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -i - t + 2, -3*i = -4*t - 6. Let g(h) = 6*h - 31. Let c be g(i). Solve -w - c*a = -7, -3*w + 2*a + 10 = 6*a for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -5 (b) 3 (c) -0.09 (d) 0.5 (e) -0.3025\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 29528338763617 + -0.5.\nAnswer: 29528338763616.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6392, 24853, 55362, 97913, 152500?\nAnswer: 219117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 8:10 AM?\nAnswer: 5:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -9063, -17927, -26589, -35049, -43307, -51363, -59217?\n\"Answer: 101*x**2 - 9167*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(3\/5)\/(i\/i**(-8\/11)) assuming i is positive.\nAnswer: i**(-62\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 142623525 to the nearest integer?\nAnswer: 11943","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 741269 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.6 at most as big as 28\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (a**2 + 4*a**2 - 2*a**2)*(1 + 2 - 5)*(-107*a**2 + 21*a**2 + 80*a**2 + 358*a) to j*a**3 + u + t*a**2 + l*a**4 + r*a and give j.\nAnswer: -2148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -35 + 80. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 2*k**2 - 5*k + 5. Let a(z) = -6*z**2 + 14*z - 14. Let h(y) = -5*a(y) - 14*v(y). Let t(f) = -24*f. What is t(h(n))?\nAnswer: -48*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 (base 4) in base 9?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000024295679 to 7 decimal places.\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 92666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 407.0438 decades in centuries?\nAnswer: 40.70438","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, 353, -1, -2\/7, 2\/9 in ascending order.\nAnswer: -1, -3\/7, -2\/7, 2\/9, 353","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that t**2\/3 - 416*t\/3 + 820 = 0.\nAnswer: 6, 410","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1130 + 553 + 576 + 10*v.\nAnswer: 10*v - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 28 + -32 + 2 - 2\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(-2*12\/(-8)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-150)\/26 + 6 + 385\/585 - 1.\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (381\/(-305435)*-65)\/(3\/2)?\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15605, 1\/356, 2\/9 in descending order.\nAnswer: 15605, 2\/9, 1\/356","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 48 and 21972?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 68 - -10. Calculate the remainder when (84 - -8) + 12\/(-6) is divided by q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1116.8 - 330.3. Round r to the nearest 100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 18326?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5654320 less than 5654324?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-115)\/(-100) - -3*14\/(-105)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -19458.\nAnswer: -1\/9729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 345752960?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -182 or -180?\nAnswer: -182","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 - p**2)*(-2*p + 11*p + 16*p) + p**3 + 2*p**3 - p**3 in the form u*p**2 + h + z*p + c*p**3 and give c.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (176\/(-12))\/4*-3 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 19*i - 16. Let h be c(3). Let t = 285\/7 - h. What is the fourth smallest value in 0.3, t, -3, -2\/17?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 68580.38 millennia?\nAnswer: 685803.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 543150.\nAnswer: 2, 3, 5, 17, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145763 is divided by 475?\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/(-9) + (2 - 3 - 2)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w = 7*w - 14008. Is w a multiple of 103?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 273371.\nAnswer: 7, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 + 26*o**2 - 55*o - 4. Give n(-28).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -6*y**2. Let x(b) = -b. Let l(k) = 15*k - 26*k + 12*k. Let i(m) = -l(m) - 6*x(m). What is n(i(h))?\nAnswer: -150*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 - 398*d + 4. Let c be l(0). Solve -80 - c = -21*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 254 = 2*y - 3*j - 75, 5*j = y - 147. Suppose 64 = 27*q + y. What is the nearest to -1\/7 in 1, -1, q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i. Let m(x) = -13865388*x. What is m(g(n))?\nAnswer: 13865388*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 - 3. Let j = g - -12. What is the smallest common multiple of j and 18?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1702*b + 1704*b + 6 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 181014?\nAnswer: 362028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1\/2 (b) 5.6 (c) -17 (d) -5 (e) 1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s**2 + 53*s - 1848. Calculate b(20).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 - 30*n**2 - 27*n + 55. Let q be w(-29). Which is the closest to 0.1? (a) 1\/12 (b) q (c) 0.4 (d) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let z = -202 - -621. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a kilometer in meters?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g = 7*s - 2*s + 593 - 551, -25*s - 5*g = 220 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of n**3\/3 + 5*n**2 + 12*n - 12747. Let q be (-3)\/((-1)\/((-6)\/2)). What is f(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.07 - -0.47. What is the smallest value in 1\/7, 1, p?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*t + 24759 = -25*t. Is t a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 + 5*b + 3. Let q be c(5). Let l(m) = -m**3 + 4*m**2 - 3*m. Let d be l(2). What is the nearest to 0.1 in q, d, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 12:47 PM?\nAnswer: 4:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15919?\nAnswer: 15919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 593*s = 590*s + 5*n + 19 - 2, 21 = -5*s - 4*n for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23 + 2*i + 8*i**2 + 15 - 10*i**2 to s + b*i + m*i**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of y**3\/9 + y**2\/6 + 12. Solve n(v) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14044136993 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16763*x**6 + 19*x**5 + 2*x**3 - x**2 + 114*x + 32?\nAnswer: 2011560*x**3 + 1140*x**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 2251100 to the nearest one hundred thousand.\nAnswer: 2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 87\/104 at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -9.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*p**3 - 4*p**3 + 17*p**3 + (-p - 15 + 0 - 2)*(2*p**2 - 3*p**2 + 6*p**2).\nAnswer: 5*p**3 - 85*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - 3.4. What is the smallest value in 4, o, 2\/17, 20?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 + 7*c**2 - c - 24. Suppose -127*i + 124*i + 15 = 5*v, -45 = -5*v + 3*i. Give d(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 3, -2263, 15.3?\nAnswer: -2263","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32 and 150994528.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**3\/5 - 153138*k**2\/5 + 6383520*k - 1660840064\/5.\nAnswer: -2*(k - 104)**2*(k + 76777)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/9 bigger than 1195286?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.17493 - 1627.5418564?\nAnswer: -1627.3669264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2752211?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 58*t**3 + 25*t**2 + 4 - 6 - 25*t**2 + 0 to the form g + h*t + v*t**3 + z*t**2 and give v.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 4:04 AM?\nAnswer: 5:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-6)\/11)\/(243\/(-1782)). Solve a*g + 33 = -5*w, -4*w = -7*w - 15 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*z - 3*z - 781 + 820. Let j(r) = -12*r**3 + 5*r. Let x(t) = 4*t**3 - 2*t. Calculate z*j(n) - 8*x(n).\nAnswer: 4*n**3 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*h + 45886 = -214964. What is the tens digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 - 9*q + 12. Let u be g(7). Let a(l) = 10*l**2 - 2*l. Let v be a(u). Suppose 0 = 6*w - 8*w + v. Calculate the remainder when 43 is divided by w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 42881 to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.05 in -0.12, -2.2, -0.01, -0.4, -1.2?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 - 9. What is the second derivative of 5*n - 3*n**2 - n + 2*n**2 + y*n**2 wrt n?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 2*u**2 + 3*u + 3. Let n be 1 - -3 - 0\/(-14). Suppose -48 = -4*a - n*d, -a - 3*d + 42 = -8*d. Calculate the remainder when a is divided by q(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.07 in 17, -5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/(9\/(-24)) - (-16 - -19)) + 1514795. Round d to the nearest 10000.\nAnswer: 1510000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/(-21)*(-12)\/(-40))\/((-6)\/(-8))?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z + 4*z + 3*z)*(37*z - 6*z + 56*z)*(z**2 + z**2 - 4*z**2).\nAnswer: -696*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, -7, -12 in descending order.\nAnswer: -2, -4, -7, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 - 9*j**2 - j + 5. Let o be k(9). Let z = o + 1. Let v(c) = c**3 + 9*c**2 + c + 13. Let u be v(-9). Sort 3, u, z.\nAnswer: z, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7122249 and 175858.\nAnswer: 14244498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 53482\/99 - 2\/9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b**2 - 21*b - 31. Let h be k(-4). Suppose 1 = q, 3*t - 275 + h = -2*q. What is the greatest common divisor of t and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 60130.1 micrograms?\nAnswer: 0.0000601301","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 7:49 PM?\nAnswer: 7:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -28 + 4896\/176 + -2*(-3)\/33\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 12 (b) 0 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -577, -563, -531, -475, -389, -267, -103, 109?\n\"Answer: i**3 + 3*i**2 - 2*i - 579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-25)\/15*169\/65)\/((-4)\/(-12)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -2*l - 40, 5*l - 6*l - 36 = -4*w. Calculate the highest common divisor of 20 and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2 - 42*w - 49. Let y(v) = v**2 + 36*v + 42. Let r(x) = -4*h(x) - 5*y(x). Determine r(-8).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 7*s**2 - 951*s - 6111. Give h(142).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 1 + (0 + 2 + 0)*(-2 - 2 + 5) - 5 + 1 - 17 - 3 + 5 + 0)*(-9*k + 24*k - 60*k).\nAnswer: 810*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) -0.3 (c) 2\/11 (d) -72322\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 687327.\nAnswer: 5498616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/72 and 151\/968328?\nAnswer: 968328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/4 and -91\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*j**3 - j**3 + 0*j**3)*(3*j + 3 - 2 - 7*j) as d*j + g*j**4 + b + p*j**2 + y*j**3 and give g.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -504*b**5 - 80*b**3 - 46283*b.\nAnswer: -10080*b**3 - 480*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1 and 3427747.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 12633.71 + -12634. Put 2, k, 0, 0.2 in ascending order.\nAnswer: k, 0, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of 3*x**2\/2 - 15. Let k(t) be the third derivative of 0*t**3 + 0 - 7\/8*t**4 + 7*t**2 + 0*t. Determine -4*k(d) - 27*u(d).\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v**2. Let h(k) = 10497*k. Give c(h(n)).\nAnswer: -220374018*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 27 = -4*u, 10*u - 1542*c + 1538*c - 78 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 5*f - 4 = 0. Let o be (-1)\/(-5) + 15\/(75\/14). Solve -f*a - 2 = -o*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -126, 0.4, 6\/5, 3, 0.085 in descending order.\nAnswer: 3, 6\/5, 0.4, 0.085, -126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mkvk when four letters picked without replacement from {v: 3, u: 1, o: 2, m: 2, k: 4}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 952*g + 168. Let q(x) = -44745*x - 7980. Let u(b) = -95*j(b) - 2*q(b). Let k(c) = -2*c. Calculate k(u(w)).\nAnswer: 1900*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -78 + 114. Suppose 4*n - n = z. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 0, 1, -5, 33 in increasing order.\nAnswer: -5, 0, 1, 17, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of y**4\/12 + y**3\/6 - y**2\/2 - y + 2. Let f(h) be the first derivative of c(h). What is f(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = c - 5*a - 15, 3*c + 15 = -5*a. Suppose 2*i = s, 6*i - 10*i - s - 6 = c. Put i, 5, -0.2, 0.02 in decreasing order.\nAnswer: 5, 0.02, -0.2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 + 2\/((-30)\/(-115)))*-18?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6862*f*q**2*y + 28*q**2*y - 3*q*y + 14*y wrt f?\nAnswer: -6862*q**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/4*-4 + 4. Let n be u + 36\/((-16)\/(-4)). Calculate the greatest common divisor of 11 and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - 16)\/((-1)\/1). Suppose -w = -5*c + 7. Let i = c - -1. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -215, -1574, -5239, -12356, -24071, -41530, -65879?\nAnswer: -98264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-1 + 0 + sqrt(2057) + -1 + sqrt(2057) + 0 + 3) + -4)*-2.\nAnswer: -220*sqrt(17) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 468962.\nAnswer: 2, 13, 17, 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19053774?\nAnswer: 2, 3, 1058543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.59 rounded to the nearest integer?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331) + -1)*-3*-5 + -1.\nAnswer: -16 + 165*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 15) in base 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**2 - 2*g**2 - 8*g**2 + (2 - 2 - 2)*(3*g - 3*g + 2*g)*(-4 - 2 + 5)*(-5*g + 3*g + 0*g).\nAnswer: -17*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -538 - -607. Suppose 34*p = 67 + b. What is the least common multiple of 11 and p?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(1100) + 2))**2 - (-2 + sqrt(1100) + sqrt(1100))*2) + 4.\nAnswer: 320*sqrt(11) + 9944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 25 = -2*v, -3*v + 27 = 3*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 950, 8280, 28302, 67364, 131814, 228000, 362270?\nAnswer: 540972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as 20\/39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-11)\/(1 + 14\/(-7)). Suppose -3*q + 7 = -5*u, 2*q = 3*q + 5*u + x. Let w(l) = -l**3 - l**2 + 1. Determine w(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - ((20 - (-13 + 32)) + -12).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/(-21))\/(-4 - -2).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 6*g = 0. Let i = 403 + -399. Solve -5*x + n - 12 = g, -5*x + 0*x = -i*n + 3 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide (6 + -148)*(2 + -3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -16.88 - -14.9. Let a = -0.02 + n. Let v = a - -1.9. What is the closest to 0 in 1\/4, v, -2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 5*y - 0*y - 3*o, 0 = -4*y + 5*o + 4. Suppose 4*l - 313 = v, -2*v - v + 3*l = 984. Is 27 a factor of (v\/y)\/((-4)\/8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1879 is divided by 920?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w**2 - 11*w - 9. Let h be v(6). Sort 0, h, 4, -1 in decreasing order.\nAnswer: 4, 0, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrbr when four letters picked without replacement from {s: 3, r: 11, b: 4}?\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -9.201, 1\/37?\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2281\/260 - 116\/13. Which is smaller: -2\/3 or l?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -17*i. Let v(l) = -2*l - 1. Let w(u) = -5*u - 2. Let x(o) = 7*v(o) - 3*w(o). Let y(a) = -5*a + 6. Let c(g) = -6*x(g) - y(g). Calculate h(c(q)).\nAnswer: 17*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**2 - 59*k - 424. Give b(-8).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 12.8053 or 1\/4?\nAnswer: 12.8053","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -109 divided by 7.\nAnswer: -109\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16825 + 3516441\/209. Let h = y - 2\/11. Which is the closest to 1? (a) -1 (b) 5 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 2, -2, 0, -1, 3, -0.04, 26992?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 90 = -4*r. Suppose 4*d = d + r. Does 16 divide (-1)\/2 + 105\/d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*n + 17*n = -8*p + 13*p, -p = -5*n - 16 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 388 and 16.\nAnswer: 1552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 PM and 5:19 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 476?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-3\/4)*f**1*f)\/((f\/f**(2\/21))\/f**(2\/5)))**(3\/17) assuming f is positive.\nAnswer: f**(1363\/2380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-31)\/93)\/(2*3\/198). Let b(t) = 1938*t - 92. Let o be b(r). Round o to the nearest one thousand.\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -139.607 - -1198.837. Let j = n + -1064. Let u = 0.23 - j. Which is the nearest to -2\/9? (a) u (b) -3 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -636 and 1.62?\nAnswer: -1030.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6373779 to the power of 1\/4, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*r + 3*m + 6240, 8329 = 4*r + m + 4*m. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3516 + -1663. What is y rounded to the nearest 10?\nAnswer: 1850","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5488, 4502, 3516, 2530, 1544?\n\"Answer: -986*t + 6474","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -69*j + 287*j - 436 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - 5*q - 194, 51 = -2*l + 4*q - 161. Let t = 103 + l. Let j(v) = -v. Let d(f) = -3*f**2 + f. Calculate t*d(z) + j(z).\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 75876 + -2077?\nAnswer: 73788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((t*t**27)\/t)\/t*t*t)**(-47))**(-9))**1 assuming t is positive.\nAnswer: t**11844","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from voooosdsovoossvvov. What is prob of picking 3 v?\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 AM and 10:09 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g**4\/15 - 308*g**3\/5 + 213216*g**2\/5 + 258048*g = 0.\nAnswer: -840, -6, 0, 384","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1312 + 1609 = 33*n for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -4*g**2 - 19*g. Let z(h) = 189*h + 14168. Let s be z(-75). Let u(i) = 2*i**2 + 7*i - i**2 - i. Calculate s*u(r) - 2*q(r).\nAnswer: r**2 - 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -468*a = i - 41*i - 465*a + 286, -5*i = -5*a - 45 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5)\/(-2)*96\/80. Suppose -2*y - 3*n + 25 = 0, -4*y = -y - d*n. Solve o - f = f - 11, -y*o + 5 = 2*f for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*k - 2 + 44. Let i be 8*(-2)\/(-32) - (-5)\/k. Solve 5 = s, -i*r + 0*s + 3*s = 24 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 245520762 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, -16, -29, -42, -55?\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -367 - -362.03. Let p = -2 + 1.97. Let h = i + p. Which is smaller: 2 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -970 + 375 - 43*h**2 + 152*h**2 + 314 wrt h?\nAnswer: 218*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h - 31 - 24. Let g = h - 11. What is the second smallest value in -4, -1, g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -724 - -720. Let d(y) be the second derivative of y**4\/6 + 5*y**3\/6 + 3*y**2\/2 - y. Give d(b).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 65 + -45. What is the lowest common multiple of f and 106?\nAnswer: 1060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3451 - -242251?\nAnswer: 234400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*h + 175*h + 118 = 3682 for h.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -3*f**2 - 5*f - 5. Let w(p) = 5*p**2 + 8*p + 8. Let v(a) = -8*j(a) - 5*w(a). Let x(i) = -7*i. What is v(x(o))?\nAnswer: -49*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 19 = f, 5*u + 11*f = 8*u - 0*u + 149 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wppw when four letters picked without replacement from wppwp?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of -25*o - 1\/6*o**3 + o**2 + 0. Let n(w) = 2*w - 3. Calculate 6*b(x) + 4*n(x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t. Let s(f) be the first derivative of -31*f**3\/3 + 19. What is s(a(u))?\nAnswer: -31*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1975\/25*(-14)\/(-24)*2\/14 and -17\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -2*c**2 + 28*c + 8. Suppose -u - 6 = -3, -36 = -3*a - 2*u. Let p be j(a). Let -4*i - p - 1\/2*i**2 = 0. Calculate i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1360141 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 44136 to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 94803 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 13332222001 (base 4) in base 12?\nAnswer: 84a541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**2\/w)\/w**(-1\/3))\/((w\/w**(-2\/5))\/w)**(-4\/9) assuming w is positive.\nAnswer: w**(68\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.081 in -7, -4, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(1 + 0) - -1. What is the remainder when 21 is divided by ((1 - -8) + -1)*s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -1*sqrt(45) + (sqrt(5) - (sqrt(80) + sqrt(5))*5) - (-3 + (sqrt(605) - (sqrt(605) - ((2*sqrt(605) - sqrt(605)) + 1)) - sqrt(605)))**2.\nAnswer: -27*sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.71299 + 4034?\nAnswer: 4034.71299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*y**4 - 4*y**4 + 3*y**4)*(y + y - y).\nAnswer: -6*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*h**2 + h**2 + 3*h**2)*(-41*h**2 + 3*h + 94*h**2 - 46*h**2) - 3*h**4 - h**4 - h**4.\nAnswer: -12*h**4 - 3*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 35360.56s?\nAnswer: 35360560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**2 + 9*w + 8. Let u be i(-8). What is the first derivative of 1 + 5*h + 0 + u*h - 6 wrt h?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y + 4 + y - 58*y**3.\nAnswer: -58*y**3 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 11 (b) -75 (c) -4.2 (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -15 - 14904\/920.\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 11:27 AM?\nAnswer: 12:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 828 is divided by 20.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4517, 6285, 8053, 9821, 11589, 13357?\nAnswer: 15125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1006*w**4 - 19*w + 14*w - 975*w**4 + (0*w**3 - w**3 - w**3)*(3*w - 4*w + 3*w) + (-w**2 + 5*w**2 - 2*w**2)*(-3 - w**2 + 3).\nAnswer: 25*w**4 - 5*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2888141 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**2 - 10640*o + 1209516.\nAnswer: 4*(o - 2541)*(o - 119)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1008) - -1*sqrt(1008))*6 + -5 - (sqrt(1008) + -3 + sqrt(1008) + -2*sqrt(1008) - -5*(0 + sqrt(1008))))**2*-6.\nAnswer: -296376 + 2016*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 2)*(-22*h - 63*h - 14*h).\nAnswer: -99*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -5*n + 43. Let j(o) be the second derivative of o**4\/12 - 5*o**3\/3 - 4*o**2 + o. Does 16 divide j(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 17800 to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 5 + 8. Solve -y*x + 5*j + 37 = x, 2*x = 2*j + 16 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 21461, 42282, 63103, 83924, 104745, 125566?\n\"Answer: 20821*b + 640","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1256 and 157?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(18) + (sqrt(90)*1)\/sqrt(5))\/(sqrt(864)*-2 - sqrt(864)) + 2.\nAnswer: -sqrt(3)\/18 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 731355801 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2721*k - 97890. Determine t(-36).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 - 19*a**3 + 2*a**3.\nAnswer: -17*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(2\/57))\/q**(3\/10)*(q\/((q*q**(-3\/5))\/q)*q)\/q*q\/q**(-18) assuming q is positive.\nAnswer: q**(12161\/570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 63445?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a meter in centimeters?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 243 - 246 = 2*j. Let g(y) = 2*y**2 + 7*y - 7. Let l be g(-6). Solve -5*q = -l + j for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + 2 + (-7 - 13).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 2:38 AM?\nAnswer: 4:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*b - n - 3, 24*b - 12 = 26*b - 5*n for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 (base 5) in base 2?\nAnswer: 100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132*o - 3*o - 190 = 68 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 h when four letters picked without replacement from hhhh?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3464 (base 9) to base 16.\nAnswer: a09","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 634*p - 12. Let f be c(8). Let l be f + -1 + 1 + 1. Suppose 0 = 3*m - 861 + l. Round m to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 857?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*85\/((-6970)\/656).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 + 17*n - 4. Let y(m) = -5*m + 13. Let u be y(6). Let j be w(u). Is 5 a factor of j - 20\/(-5) - -5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4785 divided by -145\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*u**2 + 18 - 18)*(-2 - 3 + 4 + (-1 - 2 + 1)*(-2 + 2 + 2) + (4 + 1 - 4)*(5 - 4 - 2)).\nAnswer: -90*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence orhv when four letters picked without replacement from {r: 4, v: 3, u: 7, h: 3, o: 1}.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -32 - -39. Find the common denominator of (c\/138)\/(-1 - (-76)\/78) and -53\/14.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-5)\/20)\/(5\/2). Let d = 164 - -325. Let z = 496 - d. Do z and a have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3\/38 + 91\/190. What is the nearest to -1 in 5, z, 42?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -0 + 6. Let g be ((-3)\/12*2)\/(m\/24). What is the greatest common factor of 6 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -31959175 equal to -31959176?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) -3\/7 (b) -53 (c) 6 (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 136846*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 77881.96 tonnes?\nAnswer: 77881960000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o + 127. Let g(a) = a**2. Determine m(g(p)).\nAnswer: -p**2 + 127","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 281 + -244. What is the remainder when (3 - (24 - -1))*-10 is divided by n?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -21.6 + 21.6000306. What is p rounded to six decimal places?\nAnswer: 0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/7 greater than 91\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 + -24. Let f be (30\/9)\/((-4)\/(-18)). Let o = p + f. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147381617 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 6*s**3*v**3 + 197*s**3*v**2 + s**2 + 4*s*v**4 - 2*v**5 wrt v.\nAnswer: 36*s**3 + 96*s*v - 120*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/(-3))\/(1\/(-9)). Suppose 0 = j*g - 4*t - 18 - 47, 0 = -2*g - 2*t + 20. What are the prime factors of g?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 plus 3.08517894?\nAnswer: 2.98517894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a - 1. Let o be w(-8). Let u(s) = o*s + 7*s - 15*s. Let k(q) = 14*q**2. Determine u(k(d)).\nAnswer: -14*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + -80b?\nAnswer: -80a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 5 = a + t, -a + t - 2 = 0. Let j(i) = 444*i**2 + i - 1. Let d be j(-2). List the prime factors of 2\/a + d\/45.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -52.8? (a) 2 (b) 1\/249 (c) 0.1 (d) -0.5 (e) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 2*h = 0. Suppose 3*j - 2*y + 1 = -4*y, j - y = 8. Suppose -5*f - 4 = -r, j*r + 0 + 3 = 0. Put h, 2, f in ascending order.\nAnswer: f, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = g - 9. Do g and 4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -396800 - -108?\nAnswer: -396692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(3\/4)\/(s*s*s\/(s**6*s)))\/(((s**(-5)\/s)\/s)\/(s**(-4)\/s)) assuming s is positive.\nAnswer: s**(27\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 - 3*k**2 - k. Let x be n(-3). Let z be (0 + -4)*x\/(-6). Let h = 597 + -597. Put z, h, -4 in descending order.\nAnswer: z, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1485221 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l. Let v(t) = -41*t - 13. Let p(y) = -4*b(y) - v(y). Let r be p(9). Round r to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from hdhh?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.717 - 1089661?\nAnswer: -1089672.717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 4)*(b - b - 2*b)*(-b + 2*b + 0*b).\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 119472?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -4*c**2 + 2*c + 2. Let a be n(-3). Let u = a - -45. Suppose -594 = -3*m + 4*s, -4*m + 4*s - 214 = -u*m. Is 23 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 PM and 3:52 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*h**3 - h**3 - 3*h**3)*(6*h**2 - h**2 - 3*h**2) - 8*h**5 + 4 - 4.\nAnswer: -4*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -100329.6168 rounded to the nearest one hundred?\nAnswer: -100300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 3*y - 11, -5*y + 7 = 2*g - 6. Suppose -y*b + 2 = -4. What is the first derivative of -25 - 32*a**b + 0 + 20*a**2 wrt a?\nAnswer: -24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(2*(sqrt(171) - (3*sqrt(171) + sqrt(171))))\/(sqrt(108)\/sqrt(432))*3 + -5 + -2)**2*-1.\nAnswer: -221665 - 1512*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q. Let h(b) = 10 - 4*b - 10. Calculate 4*h(i) + 20*w(i).\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 20707523677 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -3*g**2 + 510*g - 21675 = 0.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 27\/4 of a decade?\nAnswer: 810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 + 3*z - 25. Let s(p) = -1. Let v(t) = -g(t) - 3*s(t). Let d be v(0). Solve -5*c + 4*x = d, x - 10 = 3*c - c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.51512 - 0.465. Let w = a - 0.05. Round w to four decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6734 divided by -91.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11624 - -3?\nAnswer: -11621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7.974 - 6.974. Put j, -128, -1\/3, -0.01 in decreasing order.\nAnswer: j, -0.01, -1\/3, -128","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - -20) + (-320 - -315).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 90440 and 35.\nAnswer: 90440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sy when two letters picked without replacement from {s: 1, d: 3, v: 4, z: 2, y: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1011, 2109, 3195, 4263, 5307, 6321?\nAnswer: 7299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5 and -93253?\nAnswer: 93248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120*g = -87*g + 62*g - 6650 for g.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 4*y - 22 = 0, -5*o - 1 = y - 16 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -91.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000604062 to 5 decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.1, -2, -123, -6?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of b**4\/4 + 4*b**3\/3 + 5*b**2\/2 + 2*b + 3. Suppose 51 = -16*a - a. Give s(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8995*u + 12 + 4482*u + 3 + 4512*u + 11 - 7.\nAnswer: -u + 19","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**3 - 2*b**3 - 2*b**3)*(6*b - 2*b - 3*b)*(-b + 0*b - 2*b).\nAnswer: 12*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 23100 and 3885.\nAnswer: 854700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15976119*y**3 + 40005198*y?\nAnswer: -95856714*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 + 8. Solve -3*x = -x + 8, -3*x = -5*q + c for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 61750*y**3 + 5*y**2 + y + 12. Let u be f(-7). What is u rounded to the nearest 1000000?\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = r - 6. Let u = 460 + -467. Which is the closest to 1? (a) r (b) u (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34505 (base 6) to base 4.\nAnswer: -1031021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 577?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11 + -15. Which is the third smallest value? (a) 2\/11 (b) 0.5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -5*g**3 - 9*g**2 - 5*g + 8. Let i be d(-7). Suppose 3*x - t - 2336 = 0, 4*t + i + 1787 = 4*x. List the prime factors of x.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -136597 minus 11?\nAnswer: -136608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -54, -51, -46, -39, -30?\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1143\/15 - (-2)\/(-10). Suppose d = 5*v - 49. Let l = v + -8. Calculate the remainder when l is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 49718?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 73179 and 1591254.\nAnswer: 1557","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 192071280 and 2634.\nAnswer: 2634","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u - 2*n - 22 + 2, 3*u + 3*n = -9. Let k be -2*10\/12 - (-16)\/24. Sort u, -5, 1, k.\nAnswer: -5, k, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 18090*q*w**2 + q*w + q - w**2 + 744 wrt w.\nAnswer: 36180*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v. Let m(q) = 44488398*q. Give l(m(i)).\nAnswer: -88976796*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 52038417 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25.5 - -26. Let d = -0.42 + f. What is the nearest to d in -2\/5, 3, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16205906?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 53 - 19 + 38*g**4 + 20*g - 23 - 14 wrt g?\nAnswer: 456*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 3, -0.42, 0.5, 0.\nAnswer: -0.42, 0, 1\/4, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 7*z**2 + 247*z + 14884. Let l(m) = -19*m**2 - 740*m - 44652. Let p(x) = 8*k(x) + 3*l(x). Factor p(f).\nAnswer: -(f + 122)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4788978 or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**5 + 2*z**5 + z**5)*(-4 + 0 + 3) - 2*z**5 + 4 - 4 + 603137*z**5 - 603135*z**5 - 55*z**2 - 1 + 5.\nAnswer: -2*z**5 - 55*z**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - -39259?\nAnswer: 39258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*m**2 + 11*m**2 - 6*m**2 - 4*m to the form n + d*m + l*m**2 and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/29, -7\/2, -2\/13, -28, 3, -26\/37?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b318 + 2?\nAnswer: -b316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 62 + -62. What is the derivative of 7 + 7 - 7*r**2 + k wrt r?\nAnswer: -14*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/2)\/(((-1)\/6)\/(24\/216))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 36 + -35.51. Let z = -0.7 + 0.89. Let b = z + o. What is b rounded to one dp?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(98))**2 - (4 + 1*sqrt(2))**2 - ((1*sqrt(72))\/(sqrt(4) + 1*sqrt(144)))**2.\nAnswer: -8*sqrt(2) + 75932\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ij when two letters picked without replacement from {k: 2, h: 2, i: 2, j: 1, t: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 14335352 divided by 3583838\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-126)\/(-6))\/(-3)*(-12)\/(-14).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -66*f**5 + 2*f**3 - 161*f wrt f?\nAnswer: -1320*f**3 + 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 686\/5 + 2056\/5*n + 136*n**3 + 2052\/5*n**2 - 2\/5*n**4.\nAnswer: -2*(n - 343)*(n + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1158310019 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.138 - -12.238. Let w = 1.9 + k. Let q = w - 13.936. Round q to two dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127874815951 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 + 4*m**2 - 2*m + 4. Determine x(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-40)\/15)\/((-4)\/6). Suppose -c*x + 279 = v - 113, 5*x + v - 489 = 0. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -0.66?\nAnswer: -0.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 46, 37, 14, -29, -98?\n\"Answer: -j**3 - j**2 + j + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -138*n + 5386. What is g(39)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 856\/32 + (-2)\/(-8). Let m = 26 - a. What is the smallest value in -1\/2, m, -1\/12?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 - -13. Suppose r*o = 7*o - 305. List the prime factors of o.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 1\/10 of a millennium?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -12, 6, 0, -2 in ascending order.\nAnswer: -12, -2, 0, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 261016476?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 5*d - 14, 0 = -5*l + d - 33 + 5. Calculate the least common multiple of 6 and 57\/6 + 3\/l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -289 times -2.7596\nAnswer: 797.5244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2162 or -2113?\nAnswer: -2162","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12612, 25266, 37918, 50568?\nAnswer: 63216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 567 (base 11) in base 8?\nAnswer: 1246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2699846 and 114078?\nAnswer: 8099538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**3 + 2028*s**2 - 498606*s - 5190860 = 0. What is s?\nAnswer: -10, 461, 563","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d + d + 7*d - 2 - d**2. Let r(b) = 3*b**2 - 6*b + 6. What is the remainder when r(4) is divided by n(6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1*((sqrt(1584) + 1 - sqrt(1584)) + sqrt(1584))*-3)**2 - (1*sqrt(110)*2 + sqrt(110))\/(sqrt(20)\/(sqrt(2) - -2*sqrt(2)))*-5.\nAnswer: 261*sqrt(11) + 14265","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2 + 187077*k + 748324.\nAnswer: -(k - 187081)*(k + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.1224 and -0.1.\nAnswer: -0.11224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1203*c + 397*c**2 + 1203*c + 2*c**3 - 3522*c**2.\nAnswer: 2*c**3 - 3125*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g**2 - 15*g - 22. Let c be h(9). What is the smallest value in 27, 2\/21, -5, c?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 32517 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1693 = -10*k - 15*k + 7232. What is the greatest common factor of 105 and k?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 4.0851314.\nAnswer: 4.0851314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3570 (base 8) to base 9.\nAnswer: -2554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1734 - 1719. What is the remainder when 28 is divided by x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1792015178.\nAnswer: 2, 61, 89, 165041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*k - 175*k**3 - 10*k + 20184*k**2 - 20269*k**2.\nAnswer: -5*k*(5*k + 1)*(7*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 <= 19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 89980806?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1810792590 and -34886.\nAnswer: -1810827476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of 143*z**2\/2 + 249*z - 30. Differentiate u(s) with respect to s.\nAnswer: 143","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 909 = -5*o - 3*t, -839 = 4*o + 3*t - 110. Let r = 71 - o. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oyiwixoiioiwoiw. What is prob of picking 1 w and 1 i?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b - 297. Let n(r) = -7378*r. What is n(k(c))?\nAnswer: 7378*c + 2191266","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93656 - 6*d + 6*d + 6*d**2 - 46831 - 46825.\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2242972, -4485945, -6728918, -8971891, -11214864?\nAnswer: -13457837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(80) - (sqrt(80) + -1*sqrt(80)))**2 + -4.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 875067 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 2165 - 2161 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 11358 divided by -18\nAnswer: -631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**28*i)\/i)**(-2\/47)*(i\/i**26*i)\/i**(-29\/4) assuming i is positive.\nAnswer: i**(-3373\/188)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003726 rounded to 7 decimal places?\nAnswer: 0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.18412 and 118?\nAnswer: 117.81588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (9 + -7 + 2 + 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -8*k - 78. Calculate t(-11).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -401 + 374. Let p = -27 + 12. Let y = p - o. What is the highest common factor of y and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-41*a - 46*a + 156*a)*(2 - 3 + 3) + 1 - 2*a - 1 + (-2*a + 0 + 0)*(2 - 3 + 0) - 2*a + 3*a + 0*a + 2*a - 3*a + 9*a.\nAnswer: 147*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1668 and 60.\nAnswer: 8340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 PM and 9:47 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -10 and -0.119?\nAnswer: 9.881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -141, -386, -637, -894?\nAnswer: -1157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 193935.\nAnswer: 3, 5, 7, 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -115\/14126112 and 40\/96481?\nAnswer: 2528574048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -891988 = -4*y + 3*o, 2*o = 9 - 1. What is y rounded to the nearest 10000?\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002837991487 to 6 decimal places.\nAnswer: 0.000284","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2370 by 15.\nAnswer: 158","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 3*u + 800, 0*l + 2*u = -5*l + 795. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 203 + -203.48. Let y = v + 0.38. What is the nearest to 1 in y, -4, 4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 14630*s**2 + 323*s. Let q(j) = 271*j**2 + 6*j. Calculate 6*n(w) - 323*q(w).\nAnswer: 247*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -71 + 39. Let y be (-4336)\/a*2*-1 + 0. Let x = 465 + y. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**3 + 29*b**2 + 86*b + 197. Determine h(-26).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -50 + 61. What is the closest to c in 0.2, -0.2, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 236 = -p - 228, 6*b - 3*p - 3 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 3, p: 4, j: 2, l: 7, e: 2}. What is prob of picking 2 p and 1 e?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-2)\/1)\/((-20)\/17300).\nAnswer: 2, 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, 526, -1893 in descending order.\nAnswer: 526, 5, -1, -1893","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 611 + -4088. Let v = -9623 + a. Round v to the nearest 1000.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 + -8. Let i be (-1 - -7)*a\/2. Solve -d = -i + 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12110012021 - 120012?\nAnswer: -12110202110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from crmrrccxxcmrrcccrmx. Give prob of picking 1 r and 3 m.\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 33890149 a multiple of 94?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - j - 2299, 0 = -3*k - j - 3*j + 1338. Calculate the remainder when k is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 553 and 20777.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes after 9:48 AM?\nAnswer: 6:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 308 and 56?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -23 divided by 562.\nAnswer: -23\/562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -54*j + 269. Determine z(4).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 1046*v - 14. Let k(o) = -o**3 + 8*o**2 + 2*o - 15. Let x be k(8). Let q be c(x). What is q rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23019, -23010, -22979, -22914, -22803, -22634, -22395, -22074?\nAnswer: -21659","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -83*t - 1 + 99*t - 1 to s*t + b and give s.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*y**3\/3 + 32990*y**2 - 1006932*y + 372960 = 0 for y.\nAnswer: -6216, 3\/8, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -212*d - 2 + 5 - 3 in the form q*d + x and give q.\nAnswer: -212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09644043 rounded to 5 dps?\nAnswer: 0.09644","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -52 - -78. Calculate the common denominator of -63\/8 and (-27)\/18 + 59\/q.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29174 - 2*x - 14587 - 14587.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 85.654314 seconds?\nAnswer: 0.000991369375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a meter in millimeters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 3*b - 17. Let k be y(14). Solve 0 = -15*r + 20*r + k for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -203 + 216. Suppose -j*i = 13 - 52. Which is the second smallest value? (a) 4 (b) i (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjrrrjrrrrj. Give prob of sequence jr.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10 or 1.78067?\nAnswer: 1.78067","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 932*w**3 - 4*w**2 + 377*w - 4. Let v(x) = -931*x**3 + 5*x**2 - 375*x + 5. Let j(u) = -5*c(u) - 4*v(u). What is the second derivative of j(g) wrt g?\nAnswer: -5616*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 + 81112*w**2 - 66789*w**2 + 10 as d*w + m + b*w**2 and give b.\nAnswer: 14323","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12345, -4737, 2871, 10479?\nAnswer: 18087","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 - (-32)\/(-24))\/(4\/858) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 2*o. Let d = -13 + 17. Suppose d*g = 5*g. Solve g = 2*t - o*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(49) + (sqrt(49) - ((sqrt(98)*2)\/sqrt(2) - sqrt(49))) - sqrt(147)\/(sqrt(3)*-1))\/(sqrt(49)\/(sqrt(56)\/(sqrt(72) - sqrt(8) - sqrt(8)))))**2.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 + 4*f**2 + 5*f - 13. Calculate a(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 669550995 rounded to the nearest one million?\nAnswer: 670000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -50.636583, 1?\nAnswer: -50.636583","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -134\/5 at least 16090\/31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 63*z**2 + 34*z + 36. Give n(-1).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 6177\nAnswer: 1\/6177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7949.\nAnswer: 7949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16 * 2586.\nAnswer: 41376","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29 - -30. Let m(b) = 3*b**2 + 1. What is the lowest common multiple of m(z) and 11?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 4606.677mm?\nAnswer: 0.004606677","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -5*n**3 + 12*n**2 + 3. Let k(r) = -r**3 - 1. Let m(p) = 4*k(p) - s(p). Let v be m(12). Calculate the least common multiple of v\/(-2)*72\/14 and 16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -1.9. Let w be 40\/(-100)*1\/2. Which is the second smallest value? (a) w (b) u (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 40*u - 4. Let a be b(-1). Let h = a - -54. Suppose -5*x = -h*x + 25. Solve -35 = 3*m - 5*m - x*q, 30 = 5*m + q for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(704) - -5*((sqrt(704)*5 - sqrt(704)) + sqrt(704)))**2 - (-5 + -4*sqrt(704) - sqrt(704))**2.\nAnswer: -400*sqrt(11) + 458279","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 135168 and 616.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the third derivative of -1\/60*p**6 + 0*p**3 - 4*p**2 - 1\/4*p**4 + 0 + 0*p - 2\/15*p**5. Find z, given that h(z) = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9.17 - -9.6. Let j = -5.97 - z. Round j to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 5, 0, 1 in decreasing order.\nAnswer: 5, 1, 0, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -334 + 509*d - 2231*d - 748 with respect to d.\nAnswer: -1722","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 102 - 13?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 182 + -79 - (7 - -48)\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 5*i = -43, 4*z - 92 = 3*i + i. Calculate the remainder when ((-1)\/(-2 + 1))\/(21\/1491) is divided by z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 + 1*92\/32. Which is the closest to p? (a) -2\/7 (b) 0 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-8) + 114\/24. Let k = -1 + 37. Solve -o*z - 9 = 2*a + 3, 5*z + k = 4*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1496*l**2 + l**5 + 13*l**3 - 12*l**3 + 1469*l**2 + 4*l)*(1 + 3 - 3).\nAnswer: l**5 + l**3 - 27*l**2 + 4*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -3821, -2588, -1355, -122, 1111?\n\"Answer: 1233*f - 5054","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10803275377 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28077933?\nAnswer: 3, 13, 719947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -38*n**3 + n**2 + 237*n. Let z(r) = -7*r**3 + r**2 - r. Let m(x) = f(x) - z(x). What is the second derivative of m(u) wrt u?\nAnswer: -186*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 7 - 5 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-72)\/30*1400\/(-6). Suppose -5*d = 5*u - 720, 24 = -4*u + 4*d + a. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -276285*b**5 - 219*b + 301?\nAnswer: -5525700*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, f: 1, a: 1, m: 1, u: 3}. Give prob of sequence um.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9123?\nAnswer: 3, 3041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s**3 + 50*s**2 - 99*s + 84. Let r be f(22). Solve -830 + r = -5*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3.2? (a) -4\/7 (b) 2 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 25\/10 - (-3)\/6. Solve m*k = -0*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 4*z, 16*i = 15*i + 5*z - 20. Solve 3*v + 9 = -y + 4*y, -v + 27 = i*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2 + -0.8. Let s = -0.3 + -0.1. What is the nearest to m in 3, s, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 575519?\nAnswer: 7, 82217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2976560 a multiple of 116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/5132 and -85\/5132?\nAnswer: 5132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15383627*x**5 - 10651469*x**2 wrt x.\nAnswer: -923017620*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 5*g = -2*q + 33, 0 = -5*q - 3*g + 35. Suppose 12 + 28 = q*i. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7776 + 7769.8916. Round t to the nearest integer.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -83909, -83907, -83905, -83903, -83901?\nAnswer: -83899","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 - 3*f. Let i(m) = m**2 - 6*m + 4. Let q be i(4). Let w(t) = 2*t**2 - 4*t. Let u(y) = q*z(y) + 3*w(y). Let u(l) = 0. Calculate l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -47, -416, -1421, -3380, -6611, -11432, -18161, -27116?\n\"Answer: -53*j**3 + 2*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -519801, -4158097, -14033379, -33264141, -64968877, -112266081, -178274247, -266111869?\nAnswer: -378897441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -3*c**3 - 42*c**2 - 39*c = 0?\nAnswer: -13, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -10*b**3 + 3*b**2 + 3*b + 7. Let o(u) = 161*u**3 - 49*u**2 - 49*u - 112. Let m(s) = -3*o(s) - 49*v(s). Differentiate m(q) wrt q.\nAnswer: 21*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 370, 4, 3\/5 in descending order.\nAnswer: 370, 4, 3\/5, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3090269.\nAnswer: 7, 13, 29, 1171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 + -59*(-15)\/126. Let p = b + -43\/6. Calculate the common denominator of (-4 - -1) + 142\/14 and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 230444837?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*f - 22 = -7*f + 4*r, 0 = -5*r - 15 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of -h**7\/189 + 2*h**6\/135 - h**4\/27 + h**3\/27 + 14*h. Let p(s) = 0. Calculate s.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1 * -88.\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 5. Let a = 3 - d. Let t be 83\/(-21) + 1176\/(-24696) + (1 - -8). Sort t, 3, a in descending order.\nAnswer: t, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9732 is divided by 314?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-4)\/10)\/((-75)\/58500)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**3 - 4*w**2 + 2*w - 1. Let q be y(-5). Suppose p - 5 = 0, 4*t - 62 = -5*p - 9. Calculate the highest common divisor of t and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*h - 1439438*h**2 - 3*h - 1439439*h**2 - 1439405*h**2 + 4318295*h**2.\nAnswer: 13*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -k**3 + 152220807*k**2 - 359233117*k?\nAnswer: -6*k + 304441614","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1498 is divided by 58?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x*x**(-5)*x*x*x**(2\/3)*x*(x**(-2\/5))**(1\/10)*(((x**8*x)\/x*x*x)\/x**4)**(-40) assuming x is positive.\nAnswer: x**(-17953\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*z + 33 = -2*c, -3*c = 13312*z - 13309*z + 9 for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 1618207*b + 1618204*b = -12, -5*z + 2*b = 20 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4431.015 microseconds in hours?\nAnswer: 0.0000012308375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2044 (base 5) to base 14\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -44*l + 29*l. Calculate the remainder when l is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 2 - 1 + 3 - 2 - 2*h**2. Calculate v(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8)\/7*(-77)\/198. What is the second biggest value in y, 17, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2 - (-7 + 6\/2). Let l be (g - 5)*2\/(-3). Differentiate -4 + 4 - l - 2 + 5*b wrt b.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = 3*v**2 - 11*v + 311. What is the remainder when b(-14) is divided by 151?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + (-3)\/(-9)*0. Suppose -d - 1 = -f. Is f\/4*(70 - 0) a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64441 divided by -4957?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -147, -166, -161, -120, -31?\n\"Answer: 2*v**3 - 33*v - 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1601*f**3 + 2*f**2 + 16*f - 86 wrt f.\nAnswer: -9606","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 289279 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 4 = 2*x, 5*x - 9 = n. What is the tens digit of (-3480)\/(-42) - 2\/n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -9325 + 1?\nAnswer: -9324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8997 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r - 1. Let f(p) = 6*p + 9. Suppose 5*g = -25 + 15. What is g*f(o) - 10*t(o)?\nAnswer: -2*o - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9052512077 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -499 - -874. List the prime factors of c.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -9*a**4\/4 + 3*a**3 - a**2 = 0.\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2*d - 1. Let n be y(5). Let l = -17 - n. Calculate the smallest common multiple of 4 and 1\/(l\/4 - -2).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, -38780, 2\/13, -28, -5 in descending order.\nAnswer: 2\/13, -2\/5, -5, -28, -38780","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 60 = -5*z. Calculate the remainder when 3\/(-2) - (-770)\/z is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -10154.39 and -160.\nAnswer: -10314.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1511699989 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 0 + 1 + sqrt(2736).\nAnswer: 5 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 1387675.48 to the nearest 1000.\nAnswer: 1388000","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/5 (b) -0.4 (c) 0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 120 - 108 - (-5 - -18) - (-1 - 11 - -3).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.1268 + 0.12681022. What is z rounded to six dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 2057*b**2 + 0 + 2056*b**2.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 8621*g + 125. What is the units digit of u(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 54*1022\/438*((-1)\/2)\/((-175)\/(-100)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -36, 6, -30, -1, 5 in decreasing order.\nAnswer: 6, 5, 3, -1, -30, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**3 + 11*f**2 + 5*f - 2. Let l be n(-10). Let a be -4*(-4)\/l + 6\/(-18). Solve 2*u - 3*h = 1, a = 3*u - 5*u + 2*h for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 - (38\/14 - 18\/(-63)). Solve 2*t - 8 = -b*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 77674?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-12) - 7\/(-12) - 0.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 287641 to the power of 1\/2, to the nearest integer?\nAnswer: 536","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1552\/9 - 172. Let j = -6 + 5. Which is greater: s or j?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 728a + 15?\nAnswer: 72a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 140 - 140.1. Let z = 19 + -17. Suppose -4*g + 0*g = 12. Which is the closest to t? (a) g (b) -2\/11 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*f - 513*f + 8103457 = 2030165. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 4*u = 5*u, -2*p = -4*u - 20. Suppose -o = -p*o. Suppose 719*s = 715*s. Solve -5*a + 3*w = -14, o = a - w - s - 2 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/35? (a) 9 (b) -0.1 (c) -1\/6 (d) -2\/49\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 571354 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -79, 1, 71, 125, 157, 161, 131, 61?\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*r + 468 - 1548. Suppose -58*v = -49*v - r. Solve -5*p = -v*p - 2 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 3*i, 109 = -i + 115. Let m(f) = 3*f**2 + f + 2. Let x be m(2). Is x at least as big as b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 10. Let w = v + 2. Let f = -116 + 814\/7. What is the nearest to w in 5\/2, f, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 11:28 AM?\nAnswer: 5:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 33426 and 4293?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14960 = -951*x + 1121*x. Solve 0 = -1181*p + 1192*p + x for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/(2\/(18\/(-15)) + 1). Suppose 2*o = d + 11, 5*d = 2*o + j*d - 14. Solve -2*l - 4 = -o*g, -2*l + 1 = -0*g + g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -169 - -180. List the prime factors of (-7122)\/(-33) + 3 + 2\/k.\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -25087.\nAnswer: 25087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 148, 0, -15040, -13, 0.5 in descending order.\nAnswer: 148, 0.5, 0, -13, -15040","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 88212*q - 7377*q + 37881*q.\nAnswer: 118716*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m + 0*m - 4*m)*(-12*m - m**2 + 12*m) - m**3 + m**3 + m**3 + 3*m**3 - 2*m**2 + 2*m**2 + (3*m**3 - m**3 - 3*m**3)*(-1 - 3 + 6).\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 18131839 + 3?\nAnswer: 18131842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 240 = 2*n, 0*n + 2*q - 492 = -4*n. Calculate the remainder when n is divided by 32.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5632*h + 21 = -5627*h + 2*r, 2*h = -2*r + 12 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.5, 0, -1\/5, -2\/5, -4\/5, 850513?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/(p\/(p*p**1*p)))\/(p*p**(-4\/3)\/p))\/(p**(1\/4)\/p)**43)**(-1\/17) assuming p is positive.\nAnswer: p**(-439\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -61 * -0.03203123.\nAnswer: 1.95390503","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4536 and 2541?\nAnswer: 548856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6045 is divided by 22?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - (9 - 26) - -2 - 15) + 6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 35 = 4*w, 5*z - w + 11 = 186. Suppose z = -u + 2*u. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 3*p = 4. Which is greater: p or 1\/16?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + 6. Let d be ((-4)\/4)\/(-4*19\/1596). Suppose -10*c + d = -a. Solve -h = -c*q - 0 + 1, -4*h - 17 = q for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the first derivative of b**3\/9 - b**2 + 3*b - 1. Suppose c(v) = 0. Calculate v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 l when two letters picked without replacement from enneeenlnen?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 11c - 1?\nAnswer: 11b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) -3 (c) 1\/5 (d) 18 (e) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 - 6*s**2 - 6*s - 7. Let n be u(7). Suppose 3*o - 5*o + 30 = n. Is 5 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 + 5*a - 3. Let m(p) = -p**2 + 9*p - 5. Suppose 263 + 309 = 143*x. Give x*m(j) - 7*u(j).\nAnswer: 3*j**2 + j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of 767*v**2 - 9*v + 51. Is l(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46080.88 - -4.\nAnswer: 46084.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 - 5*s**2 - s - 3. Let p be i(-5). List the prime factors of 1 + p + 12 - 3.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 933 - 891. Let y be 24\/20*(-3 - i\/(-9)). Solve -y*u - 5 - 3 = 0 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -200900, -401765, -602630, -803495, -1004360?\n\"Answer: -200865*z - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*n**2 - 3 + 3)*(21 + 10 + 122 - 29) as b + k*n + m*n**2 and give m.\nAnswer: 248","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 - 3*t + 18. Calculate m(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -0.2, 1\/6, 0.09, -1, 7543 in decreasing order.\nAnswer: 7543, 1, 1\/6, 0.09, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fvfkodokkfvfkdopkk. Give prob of sequence vv.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -738 - 1158 - 1185 + 4231 - 1150 + 2*z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 98*m - 5. List the prime factors of t(3).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15 and 3468.\nAnswer: 17340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -26, 0, 1, 2\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2\/637 + -1252\/7007. Is z not equal to 4970?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-159)\/424)\/(2\/(-16)). Factor 21\/2*r**4 + 9\/2 + 39\/2*r + 33*r**2 + 27*r**n + 3\/2*r**5.\nAnswer: 3*(r + 1)**4*(r + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express n**2 + n**3 - 2*n**3 - 2*n**2 + 11 + 0*n**2 as x + j*n**3 + q*n + l*n**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:58 AM and 5:40 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 157175*p - 785928. Give j(5).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6874 (base 11) to base 2.\nAnswer: -10001101001011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 + 376*y - 18557. Let u(l) = 2*l. Determine d(u(s)).\nAnswer: 4*s**2 + 752*s - 18557","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 57031 + -35?\nAnswer: 56774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1643 by -1.\nAnswer: -1643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 120203 (base 4) to base 8.\nAnswer: 3043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*c**2 - c + 883 - 428 - 440 - 4*c**3 to g*c + k + f*c**3 + t*c**2 and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a millennium in months?\nAnswer: 43200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1683 minus -1296.35216?\nAnswer: -386.64784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**4 + 52*n**3 + 56*n**2 - 52*n - 54.\nAnswer: -2*(n - 27)*(n - 1)*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1782659492?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*q**2 + 4*q**2 - 2*q**2)*(-2*q + 1 - 1) - q**2 - 2 + 2 - 2*q**3 in the form h + g*q**3 + n*q**2 + a*q and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -2*i - 44. Let b be n(-20). Let o be ((-10)\/(-8))\/(b\/(-16)). Suppose -t + 443 = o*x, 0 = 3*x + t - 219 - 46. What are the prime factors of x?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1353 = -4*t + 50127. Does 99 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 + 0)*-24 + 0. Suppose -c - 18 = -3*o, 4*c + b = 4*o + 6*c. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*s + 4572 = 20*s. Round s to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*p**3\/5 + 1043031*p**2\/5.\nAnswer: -3*p**2*(p - 347677)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000552 to six dps.\nAnswer: 0.000055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 255459 to the nearest integer?\nAnswer: 505","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -128 in 0.3, -198\/5, 0.1, 6, 0.2?\nAnswer: -198\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of 2 + 8\/3*k**3 - k**2 - 1\/3*k**6 + 8\/5*k**5 - 3*k**4 + 0*k. Factor i(v).\nAnswer: -2*v*(v - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -63907*o. Let a(m) = -8*m. What is a(u(c))?\nAnswer: 511256*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*g**3 - g**3 + 2*g**3 + (-g + 4 - 4)*(7*g**2 - 8*g**2 + 26*g**2).\nAnswer: -27*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -107 - -965\/9. Let n = -0.715 + 0.342. Let r = n - -0.073. What is the biggest value in g, -4, r?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 - -1*6 - 871\/14. Let x = q - -119\/2. Which is greater: 4.1 or x?\nAnswer: 4.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -5*h**2 - 456*h + 390. Give x(-92).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 - 1.1. Let u = 35 - 53. Let x = u - -14. Which is the nearest to 0? (a) 0.1 (b) h (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35 - (7 + -31 - -3).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3902 + 3917 = 3*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(10)\/(-3*sqrt(5)))**2 + 1 + (1 + 4 + sqrt(2)*-2)**2.\nAnswer: -20*sqrt(2) + 308\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*h - 16. Let u = -10 + h. Let y = u - -9. Solve -y*g - 4*z = -2*g - 4, -g + 2 = 2*z for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 32724000 to the nearest 100000.\nAnswer: 32700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of -4\/17*n + 0*n**3 + 1\/34*n**4 - 3\/17*n**2 - 60. What is m in w(m) = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(-24)*2*(-45)\/(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**3 + 4*x**2 + 5*x + 2. Let i be k(-3). Suppose -7*f + 10*f - 60 = 0. Let q be (-6)\/f*(0 + (-10)\/(-5)). What is the closest to -0.1 in i, 0, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*g - 2*g**3 - 14*g**3 + 107*g - 2*g**4 + 2*g**5 - 15*g - 32 + 16*g**2 = 0. Calculate g.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2410315*x**2 - 2*x + 5473317.\nAnswer: 4820630*x - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (55 + 48 - 62)*(-5039 + 2*g + 5039 - 3*g**3 + 16*g**2) as u + w*g**2 + s*g**3 + x*g and give s.\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 2*d - 16 = 0, -2*i + 24 - 5 = 3*d for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.8, -1\/6, 5, 41 in decreasing order.\nAnswer: 41, 5, -1\/6, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/10967 and 21\/21934.\nAnswer: 21934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 i when three letters picked without replacement from rbiibvbbvbrr?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1223 + 1208. Do a and -7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - 22020?\nAnswer: -22102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13) - (sqrt(13) - (sqrt(39)\/sqrt(3) + 5)) - -3*(sqrt(13) + 2) - -6*(sqrt(1573) - 4*sqrt(1573))**2.\nAnswer: 4*sqrt(13) + 84953","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2223965 times 0.5?\nAnswer: 1111982.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 4*z + 33, -2*z = 8*v - 3*v + 69. Let q be ((-1)\/v)\/(18\/60). Let g = -1 + 0.2. Which is bigger: q or g?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 386\/689 + 25161\/5512. Find f, given that -15\/8*f**4 + 15\/8*f - 39\/8*f**2 + g*f**3 - 1\/4 = 0.\nAnswer: 1\/3, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the second derivative of f**6\/75 - f**5\/2 + 47*f**4\/30 - 23*f**3\/15 + 4*f + 6. Factor g(j).\nAnswer: 2*j*(j - 23)*(j - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -855235 (base 9) to base 13.\nAnswer: -14a908","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(80)*4 - sqrt(80))*-6 + sqrt(80)*6*6))**2.\nAnswer: 933120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 67841 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t**3 - t. Let z(v) = 14*v**3 + 8*v. Let m(a) = -44*w(a) - 6*z(a). Determine c, given that m(c) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 - -8. Let l be 4\/(v - 4) + 7. Suppose -5*p + 2*b + 6 = l*b, -2*p = 4*b. Solve -4*s - 4 = -2*q + 7*q, 2*s = 2*q - p for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 5*b - 49. Suppose 745 + 473 = b*c. Calculate the remainder when c is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -156 - 6*z + 156.\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -10692 and 0.02?\nAnswer: 10692.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 5)*(2 - 1 + 0)*(-2*o + 5*o - o).\nAnswer: 10*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1391050?\nAnswer: 2, 5, 43, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10312 (base 4) to base 7.\nAnswer: 622","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -214432 (base 8) to base 5.\nAnswer: -4300322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134747 is divided by 26948?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -28 * 0.02.\nAnswer: -0.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 80*m**2 + 41*m + 39. Does 78 divide s(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 72 - 73. Put -6, x, 2, 0 in increasing order.\nAnswer: -6, x, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 divided by 633?\nAnswer: 14\/633","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 217.48*2\nAnswer: 434.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -11. Suppose -25 = -2*x - j, j - 2*j + 1 = 0. Let t = 12 - x. Solve 0 = a - 3*z - g, -2*a + 5*z = -t*a - 19 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nuut when four letters picked without replacement from pnntppunpnnnptppupn.\nAnswer: 7\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20172*i + 10650 = -19959*i for i.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1393 to the nearest 100.\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -199 or 97165?\nAnswer: -199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 846a (base 11) to base 7\nAnswer: 44451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.4 + -0.4. Let i = 3.98 - -0.02. What is the closest to d in i, -2\/9, -4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2078*w + 2076*w = -21*q + 110, -4*q - 388 = 5*w for w.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5855 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8808107 to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -310201*f + 3722398. Determine x(12).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*v**3 + 0*v**3 - 4*v**3)*(4 + 0 - 2) + (-18*v - 85 + 85)*(v**2 - 9*v**2 - 2*v**2) as f*v + i*v**3 + r*v**2 + b and give i.\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1714891926 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the second derivative of 0 + 0*s**2 + 263*s + 1\/3*s**3 + 5\/12*s**4. Calculate f(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -d - 8 - 2*d**3 + 4 + 0*d + 10 to the form q*d**3 + u + i*d + o*d**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 217*x**3 + 100*x - 202. What is the smallest common multiple of w(2) and 1734?\nAnswer: 1734","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from {b: 3, c: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 z when three letters picked without replacement from dtttdtdtdddddddtdzd.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ekmmkeemmmmkmdmemmek. What is prob of sequence kked?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -60 + 64. Suppose -c = -j*d + 2*d - 7, -4*c - d = -10. Solve c*b + 3 = 2*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -270845, -274501, -278157, -281813, -285469, -289125?\nAnswer: -292781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 5854926?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 3*u**2 + 5. Let i(a) = -2*a**2 - 3. Let c(t) = 3*h(t) + 5*i(t). Let w(o) = 4*o - 5. Calculate c(w(r)).\nAnswer: -16*r**2 + 40*r - 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -23 + 23. Let p be (-1 - -1) + 42\/203. Do p and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1295.\nAnswer: 5, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 3 + 3)*(383067*w**3 - 383067*w**3 - 1004*w**4) to the form v*w + u*w**4 + c + m*w**2 + k*w**3 and give u.\nAnswer: 1004","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -5*j + 21. Give c(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-9) + 44\/(-36). Let b = 8 + t. What are the prime factors of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34975 is divided by 78?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-21)\/9 - -2)*-3. Suppose 4 = 4*v - 8. Let k = -3.95 - 0.05. Put k, v, l in ascending order.\nAnswer: k, l, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11271)\/585 - -19 - (-1182)\/4770\nAnswer: -1\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 5, 3, -5 in increasing order.\nAnswer: -5, 3, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1837 in 2, -4, 1\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -5*6.22\nAnswer: -31.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 1\/7, 0, -114, -5 in increasing order.\nAnswer: -114, -5, 0, 1\/7, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 46\/5 of a gram in milligrams?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/1*(-10)\/105)\/1\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + -12. Let y be ((-2)\/4)\/(k\/600). Let g = 31 - y. What is the least common multiple of 1 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - 1. Let c = 15119.8 + -15120. Do g and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the third derivative of -r**4\/8 + r**3\/6 + 6*r**2. Let o = 105 + -98. Calculate n(o).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (948\/1659)\/((-4)\/98)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63 = -5*u + d + 43, 0 = d for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 786*l. Let h(r) = r. Determine v(h(f)).\nAnswer: 786*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -19, -30, -53, -94, -159, -254?\n\"Answer: -o**3 - 4*o - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3*(-35)\/(-15) - (3 - -1). Solve 4*v + 3*y = -25, 0 = -0*v + v - c*y - 5 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u**2\/4 + 87074*u + 7581881476 = 0. What is u?\nAnswer: -174148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/8)\/(5\/50) + 3.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -71 + 80. Which is the third biggest value? (a) 3\/7 (b) 0.4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 8 = 4*r, -5*r - b + 2*b = 17 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the third derivative of -v**4\/3 - 171*v**2. Let x(z) = -z. What is t(x(k))?\nAnswer: 8*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2\/3)*z*z**(-16)\/z*z**(-32)*z*z**(10\/9))**(-13\/6) assuming z is positive.\nAnswer: z**(5447\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 680 is divided by 179?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/2736 and 149\/66.\nAnswer: 30096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of -2*u**5\/35 + 2*u**4\/7 + 8*u**3\/3 + 32*u**2\/7 + 614. Find b, given that f(b) = 0.\nAnswer: -2, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/288 and 25\/648.\nAnswer: 2592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2924?\nAnswer: 2, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 3 - 6 = -n, -9 = -2*n + y for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1131\/53 less than -20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 PM and 3:54 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1945 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 6\/17 (c) 523 (d) -1\/3 (e) -49\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -433568, -433569, -433570?\n\"Answer: -u - 433567","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 5*z, 0 = -3*j - 0*j - 2*z. Suppose 2*k = -4, 2*i - 8 + j = -3*k. Calculate the smallest common multiple of 11 and i.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1692 + 68715147.9.\nAnswer: 68716839.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 240\/15109 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 301267 = 68862. Suppose 0 = -2*o + 6*g - 3*g - 32950, 5*o - 2*g = -82397. Let c = o - n. What is c rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 9*u**2 + 972. Let t(j) = 10*j**2. Determine r(t(b)).\nAnswer: 900*b**4 + 972","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 21\/2 of a millennium?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the second derivative of r**8\/168 + r**7\/35 + r**6\/20 + r**5\/30 - r**2\/2 + 4*r. Let x(o) be the first derivative of k(o). Factor x(v).\nAnswer: 2*v**2*(v + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (2*sqrt(272) - sqrt(272))**2 - (1*sqrt(272) + 2))*6.\nAnswer: -24*sqrt(17) + 1596","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42079*q**2 + 20913*q**2 - 8*q**3 + 21166*q**2.\nAnswer: -8*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*x + 2*p, -5*p + p = 5*x + 6. What is the third derivative of 10*q**4 + 36*q**4 - 21*q**4 + 16*q**x wrt q?\nAnswer: 600*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = i - 10. Let w = -25 + i. Is -29\/7 smaller than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i - 3. Let a(x) = 6*x + 8. Suppose 2*l = -4*w + 54, -7*w + 4*w + 43 = 2*l. Let n(t) = w*s(t) + 4*a(t). Calculate n(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -781 = -285*p - 4771 for p.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**5*o**8)\/((o\/(o\/(o*o\/(o*(o\/((o*o**0*o)\/o*o))\/o*o)*o)))\/o**1) assuming o is positive.\nAnswer: o**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2085524 is divided by 569.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6875.72422 - 6876.974220338. Let c = 1.25 + b. Round c to 7 decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a**3 - 10*a + 10. Let r(g) = -g + 1. Let n = -45 + 35. What is n*r(c) + k(c)?\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = 273*r - 271*r + 10, -4*r + 260 = -52*g for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1212?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 980.406mm in nanometers?\nAnswer: 980406000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -887 - -883. Let f = -19 + 18.5. What is the third biggest value in f, k, 0.05, -0.4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 221 = 119. Let b = -569357\/40 + 14236. What is the common denominator of (-2)\/2 + n\/(-80) and b?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 - 8. Suppose m + i*l = l + 12, m + l - 4 = 0. What is the closest to m in -2, -4, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 102.\nAnswer: 510","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 - 6*l + 7. Let q(t) be the second derivative of t**3\/6 + 29*t**2\/2 - 41*t. Let d be q(-36). Calculate z(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 323 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 3*t - 12*t + 616. What is the highest common factor of t and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 1904 = 3*o - o, -u - 467 = 4*o. Let w be (-177)\/2*3*12\/(-9). Let n = w - u. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 4*i - 8. Let m be v(4). Suppose -22*o = -17*o - 50. Let h be -1*o\/15*-1. Which is smaller: m or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**4\/3 + 2*d**3\/3.\nAnswer: 2*d**3*(d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 819 = 5*b - 666. What is the greatest common divisor of 27 and b?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2011?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -6*z**2 + 1 - 5 - z**3 - 2 + 3 - 6*z. Let j be y(-5). Suppose -j*c - 2*c = -12. Solve 4*w + 2*d + 10 = 0, 0 = c*d + 3 - 18 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41.6840748 rounded to zero decimal places?\nAnswer: -42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*u - 4*n = -20*u - 468, 4 = -n. Let m = -63 + 133. Suppose m = 5*v + 15. What is the greatest common divisor of v and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21447 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*h + 6*h - 24 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2.6 (b) -0.1 (c) -4 (d) 0.36 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1084037*g**3 + 1732669*g wrt g?\nAnswer: -6504222*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003776751 to 6 dps.\nAnswer: -0.000038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3357764981?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**4 - 70*y**3 + 80*y**2 + 70*y - 75.\nAnswer: -5*(y - 1)**2*(y + 1)*(y + 15)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1001 - 33?\nAnswer: -1100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -119, -366, -717, -1124, -1539?\nAnswer: -1914","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -15c - -23?\nAnswer: -139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -139, -293, -479, -715, -1019, -1409?\n\"Answer: -3*t**3 + 2*t**2 - 139*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**2 - 5*f. Let x be z(5). Suppose 2*m + 4*s = -0*m - 5800, 4*s = x. Round m to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-42)\/(-18) - 6\/(-9). Suppose x*t - 15 = -0*t. What is the remainder when 14 is divided by t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 + 9*c**2 + 5*c - 11. Suppose 22 = -2*m + 3*w, 4*m + 5*w = 5*m + 18. Is 9 a factor of d(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.217917053 - -29.08246.\nAnswer: 29.300377053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4, -0.26, -5, -1, 0.2 in descending order.\nAnswer: 4, 0.2, -0.26, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 48482?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -777 + 36*b + 1634 - 812.\nAnswer: 36*b + 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/9 (b) 0.2 (c) -5\/4 (d) -3\/37 (e) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 935533758 to the nearest integer?\nAnswer: 30586","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3155 - -3154. Let y(n) = -25*n - 20. Let z(x) = -1. Give j*y(w) + 20*z(w).\nAnswer: 25*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 - 13*h**2 - 42*h + 18. Let j be q(13). Let b = -526 - j. Solve -12*i + b = -13*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qoln when four letters picked without replacement from {l: 1, z: 1, x: 2, o: 1, n: 1, q: 1}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/25)*i*(i\/(i\/(i**(2\/5)*i*i)*i))\/i)**(-3\/11)\/((i\/(i*i**(1\/5))*i**(1\/9))\/(i**1)**(-36)) assuming i is positive.\nAnswer: i**(-89879\/2475)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.26801? (a) 1\/6 (b) -3\/2 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) -1 (b) -2 (c) 4\/27 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 108 = t, -3*v + v - 2*t + 54 = 0. What is the smallest common multiple of 33 and v?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21\/8 + -83\/24. Which is the biggest value? (a) -0.4 (b) x (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -887 + -162. Is (88\/(-11))\/64 - r\/8 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 6 - 3*s - s - 5*s + s**2. Let k be j(8). What is the units digit of 7*(12\/(-7) - k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/9)\/(((-16)\/111)\/(-4))*-2?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 87\/16 and 43\/2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -43 + 167. Let k = 17528 + -17524. Calculate the greatest common divisor of p and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2382537373 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) + 3*1*sqrt(108))**2.\nAnswer: 1728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 300*o**3 - 7*o**2 + 8*o - 49. What is the tens digit of k(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 4*j**2 - 1. Let u be n(-2). Let o = -12 + u. Solve 4 = o*w + 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -830*d + 1254*d + 411*d - 831*d.\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4851 = 29*z - 3762. Calculate the remainder when 586 is divided by z.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7.3 + 7.1657. Round c to 2 decimal places.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-206)\/(-20) + (8652\/280)\/(-103).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70216 is divided by 9994.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 121539132 to the nearest integer?\nAnswer: 495","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 180\/93 + 732\/(-186) + 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-176)\/20*(-5)\/(-14)*350\/(-100)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3 + 1 + -3 - 0. Let u be 2 - (176\/j)\/(-4). Suppose b - 107 = u. Calculate the remainder when b is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 25 = -5*r, 0 = -4*r + 9*r + 25. Suppose x = 12*b - 11 - 37. Let t(o) = -o**3 + 4*o**2 + 5*o - 3. What is t(b)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-100476)\/(-63) - 8 - (-1)\/7.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 2\/7, 1\/4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -9878664 divided by 9\nAnswer: -3292888\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*c**4*t - 1227*c**3*t**3 - 124*t**3 - 4*t**2 + 6 wrt c.\nAnswer: 16*c**3*t - 3681*c**2*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 32 - 32. Let b be l\/(15\/9 - 1\/(-3)). Let p(q) = -q**3 + q**2 + 65. List the prime factors of p(b).\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2*g + 1. Determine v(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2327, 2325, 2313, 2285, 2235, 2157, 2045, 1893?\nAnswer: 1695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 2*o, -19*b + 318*o - 322*o - 125 = 0 for b.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 633, 645, 671, 717, 789, 893, 1035, 1221?\nAnswer: 1457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 6 = -0*d. Suppose d = 2*j - 0. Calculate the remainder when j is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 88 + -33. Calculate the remainder when y is divided by (6\/7)\/(5200\/(-1750) + 6\/2).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 0 - 6\/5*g + 9*g**2 = 0.\nAnswer: 0, 2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16*q**3*w**2 + 918*q**3*w - 1195*q*w**3 + w wrt w.\nAnswer: 32*q**3 - 7170*q*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-17589)\/(-9) + (-85)\/(-15) + -6 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -6*g + 6. Suppose -r = 4*w + 10, 5*w = 4*r - 3 + 1. Let j be (r - g)\/((-16)\/24). Let o(f) = -2*f - 2. What is o(j)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2178916 is divided by 292.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1107 and 3483.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 195296 greater than or equal to 44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*z**2 + 2256 + 32*z + z**2 - 636 - 101*z - 751*z = 0. Calculate z.\nAnswer: 2, 162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4 and 110.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.4 - 0.4. Let x = -5 + 17\/3. Let l = -0.12 + 5.12. Which is the second biggest value? (a) k (b) x (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31529 is divided by 29359.\nAnswer: 2170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(2\/119)*c*(c\/(c*c**(-23)))\/c*c assuming c is positive.\nAnswer: c**(2858\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35.306 - 61.306. Which is the nearest to k? (a) 0.3 (b) -2\/11 (c) 2\/9 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 9 = c + 7*u, 3*c - 5*u - 28 = 0. Solve -7 = -3*h - 4*y - c, 0 = -2*h + 4*y - 16 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*w + 1230 - 4896 - 2463 = -433 for w.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 - 8*r**2 + 13*r - 19. Let g be h(-8). Let v = g - -126. Solve -v*n + 27 = -4*n - 5*q, -4*q - 24 = 2*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 179, 3, 0.4.\nAnswer: 0.4, 3, 179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8.9 - -81.1. Let d = 97 + u. Let g = 187.0000166 - d. What is g rounded to 6 decimal places?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w + 67 - 243 = -4*c, -3*c - 108 = -3*w. Solve 3*l = 14 - w for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -1*(4 + sqrt(1792) + (4 + (-2*sqrt(1792) - sqrt(1792) - sqrt(1792)) + sqrt(1792))**2)*5.\nAnswer: -80743 + 1840*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.14 + -0.07. What is f rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 AM and 10:47 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-6)*(-7 - -1). Suppose -3 = 3*s + j*n + 4, -4*n = 5*s + 1. Let t be 20 - (0 - (1 + -1)). Solve -3*z - 5*k - t = 0, s*z - 3*k = -0*k + 12 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -29 + 105 - 57 - 12?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 4*u**3 + 3*u**2 - u. Let v = 262 + -262. Suppose v = -37*g + 39*g - 14. Let z(r) = 13*r**3 + 10*r**2 - 4*r. Give g*a(h) - 2*z(h).\nAnswer: 2*h**3 + h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*u**2 + 1\/7*u**3 + 0*u + 4\/7*u**5 + 5\/7*u**4.\nAnswer: u**3*(u + 1)*(4*u + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1784509.55 rounded to the nearest one thousand?\nAnswer: -1785000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 966 divided by -161?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -22\/13869 and 167\/690.\nAnswer: 138690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 1\/24736, 5, -39, -1 in increasing order.\nAnswer: -39, -1, 1\/24736, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 - 1. Let o be u(-3). Let i = -2 - o. Solve -2*k = 5*t - 4, -t + 4*k - i = -4*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 minus 269807900?\nAnswer: -269807900.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 18*k**3 - 2*k**2 - 5*k - 5. Give j(-1).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.4, 2, 5\/3, 2\/35 in decreasing order.\nAnswer: 4, 2, 5\/3, 0.4, 2\/35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 7*d - 45. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 312 divided by -13\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2486 - -2489. Let m(w) be the first derivative of -12 + 0*w**4 - 20\/3*w**3 + 0*w + 0*w**2 + d*w**5 + 5\/6*w**6. Find k, given that m(k) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 22.71049146 to 2 decimal places.\nAnswer: 22.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 68\/63 + -6\/7. Which is the second biggest value? (a) -0.4 (b) u (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 48*w**2 - 81*w - 15. Let i(n) = -3*n**2 + 5*n + 1. Let a(l) = -66*i(l) - 4*u(l). Is 19 a factor of a(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -470 in -3, 266, -0.2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 9) in base 3?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -11065, -22033, -33003, -43975, -54949, -65925?\n\"Answer: -f**2 - 10965*f - 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -3, -5, 4, 909, 140 in increasing order.\nAnswer: -5, -3, 4, 6, 140, 909","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*c + 3*c + 5*c.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 612928140 to the nearest 1000000.\nAnswer: 613000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1520 = 5*s - 5*j, 3*s - 4*j - 907 = -2*j. Let m = -85612 + 85625. What is the highest common factor of s and m?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**6*c)**(10\/13)\/((c**2\/c)\/c*c)**29 assuming c is positive.\nAnswer: c**(-307\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*r**2 + 740*r + 45604?\nAnswer: 6*r + 740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2207.19 times -0.0164?\nAnswer: 36.197916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 PM and 9:21 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3538 - 3538.5. Which is smaller: t or -110\/7?\nAnswer: -110\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(243) - (-1*sqrt(243)*3 - sqrt(243))) + (sqrt(972)*2)\/(6*(sqrt(9) - sqrt(144))) + -1.\nAnswer: -1 + 268*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1751155582 - -0.02\nAnswer: 1751155582.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 3)*(-3 - 4 + 2)*(q**5 - 2*q**5 - q**5) - 2*q**2 + q**5 + 2*q**2.\nAnswer: 21*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.86 + -0.14. Let p = f - -3. Let v(q) = -q**2 + 8*q - 9. Let l be v(6). What is the third smallest value in p, 4, l?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(200) + (sqrt(200) - 5*sqrt(200)*1))*2)**2.\nAnswer: 480*sqrt(2) + 7216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 216\/(-252)*1\/(-3).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*13*(1 - -9). Let h be 28*(b\/(-16) + -1). Suppose -3*r + 2*j = 4*j - h, 5*r - j = 729. Calculate the highest common factor of 29 and r.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -8*t + 80. Suppose 0 = 7*z - 11*z + 8. Solve -25 = -5*y, -z*b + 5*b + 2*y - t = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23 - -41)*1\/3*-1*1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 428e - -34?\nAnswer: 42c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1*(-6)\/8*(-4 + 140). Let t be (b\/(-289))\/((-3)\/(-2)). Let 8\/17*f**2 + 2\/17*f - 4\/17*f**4 - t + 2\/17*f**5 - 4\/17*f**3 = 0. What is f?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 + 4. What is the remainder when 36 is divided by o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 429912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1110733?\nAnswer: 13, 43, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 3*j - 2*j + 20, 0 = -4*x + 16. Let g be ((-7)\/14)\/(3\/j). Suppose g*q - 7840 = 6*q. What is q rounded to the nearest one hundred?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, 5, -11.\nAnswer: -11, -5, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-242)\/16)\/((11618\/(-592))\/157).\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) be the second derivative of -393*h**5\/20 - 685*h**4\/12 - h + 31. What is the third derivative of z(u) wrt u?\nAnswer: -2358","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1044)\/912 + 4\/(-38). Which is the biggest value? (a) i (b) 1\/4 (c) 2 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 125*n**5 - 777*n**2 + 783*n**2 - 3 + 3 + 4*n**3 wrt n?\nAnswer: 7500*n**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 101136100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1488007.\nAnswer: 1488007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -3.44 and 1\/2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -80.6 in 72, 5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of -8*l**5\/5 - l**4\/4 - l**3\/6 - 87*l + 11. What is u(-1)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1883571 a multiple of 294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1115, 4205, 9525?\nAnswer: 14845","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x = 31 + 32. Let c = -92557\/11334 - 2\/5667. Which is greater: c or x?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of 19\/120*v**6 + 0*v**3 + 0 + 0*v - 18*v**2 + 0*v**4 - 1\/15*v**5. Find the third derivative of s(z) wrt z.\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 7*t - 2*t, -4*o + 108 = -t. Suppose -4*l + 106 = -o. Does 11 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o*o*o*o**(1\/4)))**(4\/5)\/((o**(1\/3)\/o)\/o*o*o\/o**4) assuming o is positive.\nAnswer: o**(28\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 99, -1, -2, -17 in ascending order.\nAnswer: -17, -2, -1, 99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 298376644 a multiple of 665?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 208 - -1 - (-477 - -581)\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 - 22. Let m = q + 9. Let w = 1\/34 - -27\/238. Which is the nearest to 1? (a) -2\/21 (b) w (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**2 + 5*r - 2. Let o be m(3). Let w = 8 + -5. Solve -c = o*k + 7, w*c + 3*k = k - 1 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -360.9999972 + 361. Round p to 7 dps.\nAnswer: 0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 2*u**5 + 268*u**4 - 18100*u**3 + 234192*u**2 + 523746*u + 271188 = 0.\nAnswer: -186, -1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5181482 + 120?\nAnswer: -5181362","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 - 12*x**2 + x + 17. Let l be f(-12). Solve -v = -0*v - l for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -31461, -62927, -94403, -125889?\n\"Answer: -5*w**2 - 31451*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6979 + -4653. What are the prime factors of f?\nAnswer: 2, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111010101 - 10000000111?\nAnswer: -11111011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + 22b1?\nAnswer: 22b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 8613 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: Add 1416.94 and -40625.\nAnswer: -39208.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a + 4*a + 2*a + 1326 - 1267 - 5*a.\nAnswer: -a + 59","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1211, -1205, -1187, -1151, -1091?\n\"Answer: w**3 - w - 1211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (14\/(-35))\/((-1)\/5). Let d(v) = 0*v**x + 4*v - 7*v**3 - 26*v**3 - 3*v + v**2. What are the prime factors of d(-1)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 3*a - 31 = 0, a - 12 = -2*x + 2*a. Suppose x*t - 99 = d, -4*t + 2*t + 41 = d. Solve 25*p = t*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39667127 = 38*m + 4137127. Round m to the nearest ten thousand.\nAnswer: 940000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 36162 = -8141. Let c = r + -2466. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/187 in -4, -1\/5, -0.3, 0.3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6 + (-39)\/6)\/1. What is the fourth smallest value in -2, -3\/16, 0.4, a?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1083129.\nAnswer: 3, 179, 2017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4831\/4020 - 66\/67. Let r(a) be the third derivative of 0 + 0*a**3 + 3\/40*a**6 + 0*a - q*a**5 - a**2 + 0*a**4. Find the third derivative of r(m) wrt m.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 11\/2 of a tonne?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1555306?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*z - 14*z + 9 - 9 + 5*z.\nAnswer: -41*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 - -7 - (-73 - -38)?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1153 + 1051?\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1089114 * -0.34\nAnswer: 370298.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 340*g - 688*g + 385*g - 38 wrt g?\nAnswer: 37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, 5.5, 4\/3, -3, 2?\nAnswer: 5.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8022 (base 12) to base 15.\nAnswer: 4185","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30 + 54. Let c be (1\/(-3))\/((-2)\/u). Suppose c*y - 7*y + 1179 = 0. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1051578996 - 1.763775.\nAnswer: -1051578997.763775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h + 2*g + 23, -h - h - 18 = 4*g. Let o = 17 - h. What is the remainder when o is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*b + 12*w - 303 + 265 = 9*b, 2*b + 2*w - 4 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -22*s + 8. What is the tens digit of r(-13)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -2514*c**2 - 6*c + 272. Let g(j) = 2507*j**2 + 8*j - 269. Let z(l) = 3*g(l) + 4*n(l). Differentiate z(d) with respect to d.\nAnswer: -5070*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5936 and 2305417744?\nAnswer: 5936","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/11455781 and 24\/1397.\nAnswer: 126013591","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(50)\/(sqrt(80) - sqrt(5)) - sqrt(10))*-3)\/((sqrt(80) + (sqrt(80) - (sqrt(80) + (sqrt(80) - (sqrt(80) + 1*sqrt(80))))))*-1).\nAnswer: -sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*d + 2*d - 5*d)*(-8 - 4*d + 8) + (0*d**2 + 2*d**2 - 5*d**2)*(9 + 2 - 3) as f + i*d**2 + p*d and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1000010110111000001 (base 2) to base 5\nAnswer: -32230412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -175, 144280, 3 in descending order.\nAnswer: 144280, 3, -175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -14219*l**3 - 26*l - 90. Let m(j) = 42653*j**3 + 81*j + 272. Let b(h) = 4*m(h) + 13*w(h). What is the second derivative of b(k) wrt k?\nAnswer: -85410*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 55 and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -525 + 787. Let c = p + -143. Suppose 5*h + 3*x = -x + c, 85 = 3*h - x. Is 13 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 3:13 AM?\nAnswer: 2:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1322515 plus -4299350?\nAnswer: -5621865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 756 = 5*d, 6*d - 752 = d + 4*q. Suppose 5*z = z + d. Does 19 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*g**4 - 3*g**4 + 3*g**4)*(-9 + 0 + 15 + 12).\nAnswer: -198*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -121.15 + 121.3. Which is the third smallest value? (a) -4 (b) -16\/7 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - (-4 - (4 - 2) - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 1, -102 in ascending order.\nAnswer: -102, -1, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - q - 7954 + 23998 = 0, 4*g - 12810 = -5*q. What is the smallest common multiple of g and 27?\nAnswer: 28890","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of n**2\/2 - 4*n - 13. Let l(k) = k - 5. Let p(t) = -4*l(t) + 5*q(t). Let w(c) = -2*c - 1. Calculate 6*p(v) + 2*w(v).\nAnswer: 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*z + 28*z + 5224 = 0. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (14\/(1*2))\/(6958\/994)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -19\/5? (a) 32 (b) 4 (c) -0.5 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3\/9 - 40*a**2\/3 + 889*a\/9.\nAnswer: -a*(a - 7)*(a + 127)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*n + 24 + 20 - 2*n**2 + 27 - 70 + 3*n**2.\nAnswer: n**2 + 39*n + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 470*v**2. Let m be x(1). Let z = m + -268. Calculate the remainder when z is divided by 41.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -38, -27, 8, 79, 198, 377?\n\"Answer: 2*y**3 - 3*y - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 - 17*u - 20. Let o be q(-12). What is o rounded to the nearest 100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -38577, -77263, -115949, -154635?\n\"Answer: -38686*s + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 17856794317 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 35 + 35 + 11 - 100 - 3*b + 0*b. Give q(-14).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*(f\/(f*(f**(-4\/7)*f)\/f)*f)\/f*f)**34)**(2\/47) assuming f is positive.\nAnswer: f**(1224\/329)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.3498 times -0.146?\nAnswer: -2.2410708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 2*q = -1, -5*q = 5*l - 85. Let m = 31 - 21. Calculate the remainder when l is divided by m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 62222 is divided by 6084?\nAnswer: 1382","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -3*r - 5. Let u be b(7). Let d = -17 - u. Solve -3*h - 3*i + 0 = -d, 0 = -4*h - 3*i + 12 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x - 15. What is f(-7)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - b = -2*d - 4, 2*b - 2 = d. Suppose 3*g + g = 3*p - 24, 0 = -3*p - 4*g + 48. Solve p = f - 5*v, 2*f - 2 = -v - b for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-4 + (0 + sqrt(76))*-4 + sqrt(76)*-3*1)**2.\nAnswer: -22440 - 672*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3347749 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -335 (base 8) to base 5\nAnswer: -1341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -457073, -457151, -457279, -457451, -457661, -457903, -458171, -458459?\nAnswer: -458761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 7. Let s(x) = x - 2. Let v be s(o). Let g = v - 1. Solve -3*f - 3 = -3*y + 2*y, 0 = y + 2*f + g for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -10*(-1 - 2 - -4). Which is bigger: t or -12?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d**3 - 322*d**2 - 4605*d = 0. Calculate d.\nAnswer: -307, -15, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-22)\/(-72) + (-5)\/15. Suppose -5*f - 113*z + 108*z - 40 = 0, -4*z - 29 = 3*f. What is the smallest value in k, f, -1, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-5\/2)\/(p*p\/(p\/p**(1\/34))) assuming p is positive.\nAnswer: p**(-60\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 12 + 4 + -8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-117)\/6 - -2 - 2. Let h = -19 - b. What is the common denominator of h and 81\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 70900447?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-16)\/24*3\/(-2). Solve 5*m = -l - 9 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4847227?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 239, 484, 731, 980, 1231?\nAnswer: 1484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-five halves of a microgram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 57101, 114416, 171727, 229034, 286337, 343636, 400931?\n\"Answer: -2*k**2 + 57321*k - 218","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2056 and 586988.\nAnswer: 1028","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011 + 10010101?\nAnswer: 10001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2315 (base 9) to base 3.\nAnswer: -2100112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(-4)*-30*140\/(-39900)*57\nAnswer: -45\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of -341*(-2)\/8 + 7\/(-28)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 47 = 3*k - 3*t, -140 = 5*k + 4*t. Let x = -19 - k. Suppose -x*g + 1 + 9 = 0. Solve -d = -5*u + 7, g*d - 1 + 0 = -5*u for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*h - h - h)*(-2*h + h - 2*h) - 2*h**2 + 2*h - 2*h - 2*h**2 + 8*h**2 + 0*h**2 in the form l + k*h**2 + o*h and give k.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 213*t**2 + 3*t + 10204*t**3 - 10206*t**3 + 225*t**2.\nAnswer: -2*t**3 + 438*t**2 + 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 11*l - 7*l - 52*l as y + t*l and give t.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = 2*u - 1 + 4, -2 = -4*f + 2*u for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 40321074.\nAnswer: 1\/13440358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00532769 rounded to 4 decimal places?\nAnswer: 0.0053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3\/7 - 2*s**2\/7 + 6*s + 90\/7.\nAnswer: -2*(s - 5)*(s + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*u - 2*y - 66 + 80, -3*u - 18 = y for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-36)\/54*((-5773)\/(-15295) + 2\/(-5)). Put -5, 6, y, -4 in ascending order.\nAnswer: -5, -4, y, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/210 - (-9 - 2298\/(-210)))\/(-54).\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 57 - 56.6. Which is the biggest value? (a) d (b) 0.12 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of 0*y + 13 + 0*y**3 + 11*y**2 + 17\/4*y**4. What is the second derivative of d(s) wrt s?\nAnswer: 102*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56 and 196.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20753 = 14*a - 415039. What are the prime factors of a?\nAnswer: 2, 3, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44528407436128 + -0.2.\nAnswer: 44528407436127.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21001 by 1.\nAnswer: -21001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -586, -1203, -1820?\n\"Answer: -617*l + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 1. Let t = -29\/908 - -263737\/69916. Let j = 38\/11 - t. Which is the nearest to 0.1? (a) d (b) -1\/4 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 62.249 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t - 2. Let s be j(0). Let a be (-2 - 0)\/(s - 0). What is the third derivative of -a + 2*v**2 - 2*v**5 + 1 wrt v?\nAnswer: -120*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/110 and -13\/34?\nAnswer: 1870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(8640)*-1)\/(-3*sqrt(1200) + sqrt(1200)) - (sqrt(120)\/(sqrt(12) + sqrt(192) + sqrt(12)))\/(sqrt(12)\/(sqrt(6)*-3)).\nAnswer: 11*sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 - 41*l**2 + 177*l - 60. Determine p(34).\nAnswer: -2134","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 77991 divided by -6.\nAnswer: -25997\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (2 - -54)\/(1\/3). Suppose -g - 866 = -5*t, -t + q = -0*t + 5*g. What are the prime factors of t?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -75, -9, -2, -5, 0, -3 in descending order.\nAnswer: 0, -2, -3, -5, -9, -75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 1424*d**2 - 56*d + 223. Is a(4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = 2*r + 4*g, 15 = r - 3*g + 5 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f**2 + 40*f - 30. Is 20 a factor of r(15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 223 - 163*v - 223.\nAnswer: -163*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**3\/4 + 59990191*k**2\/4 - 119980379*k\/4 + 59990189\/4 = 0. Calculate k.\nAnswer: 1, 59990189","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 209954, 209962, 209972, 209984, 209998?\nAnswer: 210014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32580 and 3041705.\nAnswer: 905","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102624 is divided by 51305.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 187210?\nAnswer: 2, 5, 97, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 42\/(-9)*(-15)\/(-4)*-2 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125309867 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 16*u**2 + u + 1. Let c be j(-1). Calculate the highest common divisor of c and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mlml. Give prob of picking 2 l and 1 m.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 130 (b) -45 (c) 2 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of 6*q**4 - q**3\/3 + q**2\/2 + q - 86. What is l(-1)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*a**2 + 925*a**3 + 3*a**2 - a**2.\nAnswer: 925*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 11 (b) -8\/5 (c) -4 (d) -0.01 (e) -0.04 (f) -25\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 4*b - 8 = x, -2*b = -2*x - 4 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 2*d - 12 = 0. Suppose -d*w + 14 = w. Determine z so that -2\/9*z**5 + 10\/9*z - 4\/9*z**w - 8\/9*z**3 - 4\/9 + 8\/9*z**4 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 522.4615 millennia?\nAnswer: 522461.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 + 99*z**2 + 102*z - 204. Determine y(100).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 7*q**2 + 3*q - 3. Suppose 2*r = 8*r - 18. List the prime factors of m(r).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3774 + 8357. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5522521 a multiple of 269?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1155\/(-2970)*(-12)\/182.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-2\/9)\/l**20 assuming l is positive.\nAnswer: l**(-182\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 18*v**2 + 1. Suppose -2*g - 2*g = -4. Let z be j(g). Solve 5*u = -2*x + z, -5*u - x + 31 = -3*x for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 187363 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {p: 16, f: 4}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (535\/5885)\/((-6)\/3531).\nAnswer: -107\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -4*o - 5. Let r(z) = z**2 + 1. Let p(i) = r(i) - x(i). Suppose -2*b + 2 = -2. Suppose 5*g + 20 = -b*l, -29 = 5*g + l - 9. What is p(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1536201410 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 162 a factor of 6113718?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 + 679*s - 4870. Calculate y(-686).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 0*i - 43 = -67 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of (-6)\/24 - (30114\/(-8))\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-8\/5)\/((f*f**(-4)*f)\/f)*(f\/(f\/((f**(-1\/25)*f)\/f)*f))\/f**(16\/5) assuming f is positive.\nAnswer: f**(-71\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/31, 0.3, -4\/11, 15?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26564 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5592.\nAnswer: 2, 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 401297 is divided by 13376.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -1978\/275 smaller than -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 - 26*p + 109. Determine r(-21).\nAnswer: 214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes before 12:40 AM?\nAnswer: 1:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10812*m - 24619?\nAnswer: -10812","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 5*d**2 + 2. Let a be k(0). Let u(f) = -f**3 - 5*f**2 - 5. Let g be u(-5). Let s = -1880 + 1884. Put a, 3, g, s in decreasing order.\nAnswer: s, 3, a, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3556 - 3551. Let u(v) = v + 16. Calculate u(l).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 854 and 1403.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.3 - -2. Let w = -2.3 + 0.3. Sort w, -5, h.\nAnswer: -5, w, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -91331 (base 13) in base 3?\nAnswer: -111012100222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -6*g - 181. Determine w(0).\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xu when two letters picked without replacement from lqxmqlmu.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (-23 - (13 + -15))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -3*n**3 - 6*n**2 - n - 1. What is the remainder when j(-3) is divided by 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/2 (b) -2 (c) -374\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13)*-1*-5*1 - (sqrt(208) + -1 + 3)) + (sqrt(104)*1)\/(sqrt(200)*-2)*-3.\nAnswer: -2 + 13*sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k - 519 - 390 = 0. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*30*(-12)\/(-144)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-2*sqrt(99) - sqrt(99)) - sqrt(99))\/(sqrt(54)\/sqrt(6)*-1).\nAnswer: -5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and 18\/2723 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.737078 weeks?\nAnswer: 445784774.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*t = -288*t - 319*t + 10626 for t.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6479 or 6486?\nAnswer: 6479","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11438?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8 or -72\/53?\nAnswer: -72\/53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 39, 130, 277, 480?\nAnswer: 739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10610726.15263 + 10610770. Let h = -40.2467 + m. Let c = -3.6 + h. Round c to 4 dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 8*c**3 + 2246*c**2 + 1932*c + 36. Let m(z) = -9*z**3 - 2243*z**2 - 1931*z - 42. Let k(a) = 7*d(a) + 6*m(a). Find the second derivative of k(b) wrt b.\nAnswer: 12*b + 4528","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (135*4\/6)\/(1 - 0). Find p such that -18*p**3 - 1350*p - l*p**2 + 35*p**3 - 19*p**3 - 6750 = 0.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wkl when three letters picked without replacement from lwlk.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 = -0*i + 4*i. Suppose -5*b - 4*y = 21 - 211, -2*y = b - 38. Let x = b + -36. Solve 7*f - i = x*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6352881 or -6352929?\nAnswer: -6352929","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 3 = 2*y. Suppose 2*n + 8199998 = -q, -y*q = 2*n + 34974920 - 2174922. What is q rounded to the nearest one million?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -278*f - 1992 = -776*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/(-30) + (-7536)\/(-10). Let h = g + -509. Is 82 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 20 = 5, -9*r + 8*r + 4*d + 3 = 31 + 34 for r.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1368 is divided by (-34)\/(-2) + -77 + 74?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzmzzzzzzzzzzzmmz. What is prob of picking 3 z?\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*j**4\/2 + 1838650*j**3\/3 - 57614195*j**2\/6 + 21247980*j = 0. Calculate j.\nAnswer: -245169, 0, 8\/3, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 at least -42?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(63)\/(sqrt(9) - sqrt(81)*6).\nAnswer: -sqrt(7)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-72)\/16)\/(-1)*8\/9.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of -j**3 - 3*j**2\/2 - 6116*j. Let r(p) = -1. Determine -m(b) + 2*r(b).\nAnswer: 6*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a centimeter in micrometers?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -324 at most as big as -316?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w - 2*w + 0*w)*(3 - 3 - w) - 3*w**2 + 3*w**2 - 3*w**2 + 28*w**2 + 577*w - 577*w + 2 + w**2 - 2.\nAnswer: 28*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -362 - -363. Calculate the highest common factor of n and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j. Let r(k) = -3*k + 21. Let s be r(7). Let i(n) be the second derivative of s + n + 0*n**2 - 5\/6*n**3. Calculate i(h(d)).\nAnswer: -5*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p**4 + 3*p**3 - 4*p**3 + 4*p**3 + (p**3 - 2*p**3 + 3*p**3)*(-5*p + 2*p + 5*p) - 40*p**2 + 8*p**4 + 40*p**2.\nAnswer: 10*p**4 + 3*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34514 is divided by 5751?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -179806, -356491, -533178, -709867?\n\"Answer: -r**2 - 176682*r - 3123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15792 - 20783 = 1045*l for l.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 71327?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 4*k**2 - 46*k + 136. What is the remainder when q(15) is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 117\/3160 and 39\/79.\nAnswer: 3160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -390 + 4*g + 388 + 3*g. Let d(s) = -3*s + 4. Let y(t) = -8*t + 11. Let f(j) = 11*d(j) - 4*y(j). Suppose 7*c + 24 = 3*c. Determine c*f(u) - z(u).\nAnswer: -u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*m**2 - 3*m**2 - 6*m - 42*m**3 + 12*m - 9*m + 6*m**2 - 2 in the form p + j*m**3 + k*m + s*m**2 and give j.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 171 - 11 - 3 - 31 - c as j*c + y and give y.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.809 + -1.309. Which is the third smallest value? (a) 127 (b) k (c) 0.3 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 + 25*o**2 - 26*o + 7. Let t = -5497 - -5471. Give g(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 210*q = 16*q - 12993 + 17261 for q.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, -474, 4, 0 in decreasing order.\nAnswer: 4, 0, -1, -4, -474","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 5 (b) -1.3 (c) -1\/5 (d) 4 (e) 43\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14072, 14075, 14078, 14081?\nAnswer: 14084","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1613715\/8 > 201713?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of -5*j**2 + j + 17. Give l(-2).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1024*n - 2570*n + 365*n to the form k*n + p and give k.\nAnswer: -1181","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*x**4 - 5*x**4 + 3*x**4 + 3*x**2 + x**4 - 3*x**2 + (-3*x + 3*x**2 + 3*x)*(29 - 29 + 14*x**2) to f*x**3 + l*x + o + v*x**4 + j*x**2 and give v.\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 76501 (base 11) to base 9\nAnswer: 178331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z - 41*z - 150 = 120 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2654253 is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7197248 and 107.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 4*m = -80, -4*h + h + 30 = -3*m. Is h a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30 - 30 - 12*t)*(t + t**2 - t) + 7*t**2 - 7*t**2 - 3*t**3.\nAnswer: -15*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**(-2\/57)*p\/(p\/(((p*(p*p*(p\/p**(-27)*p)\/p)\/p)\/p)\/p)) assuming p is positive.\nAnswer: p**(1651\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15873.\nAnswer: 3, 11, 13, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 + 26. Let z(i) = -6*i - 5*i**3 + 6*i - 5 + 5*i + 6*i**3 - 6*i**2. Is z(d) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 369*-49\nAnswer: -18081","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -3*i**2 + i. Let g be m(-1). Let y(s) = -5*s**2 - 2 + 5*s - s**3 + 6 - 2*s + 2*s**2. What is the units digit of y(g)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.3 + 0. Let c = t + -0.5. Let h = 6.1 - 6. Sort h, -1\/3, c in decreasing order.\nAnswer: h, c, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(91)*1 - sqrt(91)) - ((sqrt(91) + (sqrt(91) - 1*sqrt(91)))*1 + sqrt(91)))*4)\/((sqrt(280) - 2*sqrt(280)*-1)\/sqrt(10)).\nAnswer: -4*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1061, -1052, -1041, -1028?\n\"Answer: w**2 + 6*w - 1068","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes after 3:12 AM?\nAnswer: 10:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -1. Let o be 56\/6 - p\/(-3). Suppose 2*r + 5*a - o = 11, -5*a + 20 = 0. Which is greater: 2\/13 or r?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/3010 and 97\/14028?\nAnswer: 3016020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3\/2, 99 in increasing order.\nAnswer: -3\/2, 0, 99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*m = 70*m + 301 for m.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.4 and -8.12?\nAnswer: 7.72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -51*m**2. Let b(h) = 17*h**2. Determine b(o(f)).\nAnswer: 44217*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 9 + 17 = 3*n, -4*n + 8 = -4*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25.99989 + -26. Round y to five decimal places.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**1\/d)**(-5)*(d*d**9)**(-3\/26) assuming d is positive.\nAnswer: d**(-15\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*y - 5, -5*q = -2*y - 34. Suppose -322 = -i - q*i. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a tonne in kilograms?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16.181 - 0.281. Let u = o + -15. Let i = u + 4.1. What is the second smallest value in 0.3, i, -0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*q**2 + 24*q**2 + 1004*q - 50*q**2.\nAnswer: q**2 + 1004*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25533?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 477 - 256. Let u(k) = k**3 + 9*k**2 + 8*k + 22. Let h be u(-10). Let r = h + i. List the prime factors of r.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 259, 2340, 8095, 19360, 37971, 65764?\n\"Answer: 306*i**3 + i**2 - 64*i + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 40 - 42. Let i(l) = -11*l**3 - l + 1. What is i(z)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -9. Suppose -2*z = -z - 2, -i*k = -3*z - 30. Is 9 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/63 and 24\/581.\nAnswer: 5229","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1213 in 3, -5, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6061613 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f**2 - f + 3. Let z(i) = i**2 + 1. Suppose u = -3*u - 5*d + 6, -2 = -d. Give u*n(v) + 3*z(v).\nAnswer: v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.04228 in 1\/8, 8, 3, 5, -17?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 8) to base 10\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of j**4\/4 - 4*j**3\/3 + 10. What is the third derivative of p(q) wrt q?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 321 a factor of 1109344?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in 0, -8\/7, -3\/23?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000471 rounded to six decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m - 147 = m - 523. Sort m, -2, 20 in increasing order.\nAnswer: m, -2, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -5*z + 160. Let i be (-4340)\/(-420)*(-3)\/2*-2. Determine o(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10419 + -10419. Solve 4*k + 32 = -4*m, 2*m - 2*k + 6 - 10 = v for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -441.94 to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180) - sqrt(180)*-4) + -5.\nAnswer: -5 + 30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 59*z - 392 + 333 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121*x - 390 = -126*x. Calculate the lowest common multiple of x and 22.\nAnswer: 858","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of -k**6\/120 - 2*k**5\/15 + k**4\/4 - k**3 + 4*k**2 - 4*k. Let g(y) be the first derivative of p(y). Is 7 a factor of g(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 AM and 9:00 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/4 + (-11)\/4. Let s = -40 - -40.2. What is the second smallest value in s, -0.4, r?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a meter in millimeters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 836 - 833. Let j(y) be the second derivative of 1\/9*y**4 - b*y + 2\/3*y**3 + 0 + 4\/3*y**2. Factor j(l).\nAnswer: 4*(l + 1)*(l + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*l**2 - 6*l**2 + 1 - 1 in the form r*l**2 + d*l + h and give r.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1 + -2.1. What is the second smallest value in a, -1\/6, 2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -5 (b) 0.5 (c) -124\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 56 + -6. Does 14 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/6, 3, -8\/11, -0.028, 2\/35, 1\/3, 0.2?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4266020?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 389*u**2 - 1. Let a(g) = 294*g. Determine a(v(w)).\nAnswer: 114366*w**2 - 294","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8291, -16579, -24867, -33155, -41443, -49731?\nAnswer: -58019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in five quarters of a milligram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, c: 4, r: 4, d: 1, a: 1, u: 6}. What is prob of picking 1 a, 1 g, 1 u, and 1 r?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 15) in base 2?\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d = -132 - 120. Suppose -4*f - 292 = -5*s, f - 6 = -s + 47. What is the least common multiple of d and s?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 AM and 5:17 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6069171, 6069170, 6069169?\nAnswer: 6069168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 11 + 20 = 11. Put 4, -5, -1, q, 3 in decreasing order.\nAnswer: 4, 3, -1, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 3 + w + 0 + 0*w.\nAnswer: w - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of -14187*c**7\/7 + 2*c**3\/3 + c**2 - 3118*c - 12317. What is the third derivative of k(l) wrt l?\nAnswer: -1702440*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6795327211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 839034 and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -20*y + 29 + 25*y + 31 + 12*y. Give u(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 5*f = 783 + 797, 5*f = -2*u - 1045. Let p = 23627\/45 + u. Let a = -0.0154 - 0.4846. What is the nearest to 1\/3 in a, p, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2925 and 1869192.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4151822 by -989.\nAnswer: 4198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 302 and 1812.\nAnswer: 1812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -2501 divided by -65\nAnswer: 2501\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2107 and 363909?\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**5 - 3504*p**4 + 1524210*p**3 + 9229516*p**2 + 18515256*p + 12362256.\nAnswer: 2*(p - 879)**2*(p + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-4*(sqrt(56) - (sqrt(56) - (sqrt(56) - sqrt(224)))))\/(sqrt(200) - (sqrt(200) + -2*sqrt(200) + sqrt(200))))**2.\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.18, 23, -1\/3, 2 in decreasing order.\nAnswer: 23, 2, 0, -0.18, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llklllkkllll. Give prob of sequence lk.\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.123? (a) -1 (b) 2182 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 22*l + 0 - 11*l.\nAnswer: -33*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 309 = -5*o + 3*q, 0 = -q + 5. Suppose -4*z - o = -7*z. Calculate the greatest common factor of 12 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71444627 to the power of 1\/2, to the nearest integer?\nAnswer: 8452","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 357 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*d**2 - 7*d**2 - 2*d**2 - 11*d**2.\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8281, 8262, 8243, 8224, 8205?\nAnswer: 8186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 129753562.426?\nAnswer: 129753563.426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 v when two letters picked without replacement from nyiinynive.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*a = -45*a + 16 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -704, -5724, -19348, -45878, -89616?\nAnswer: -154864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -n. Let p(r) = -r**2 - 8478*r - 262. Give z(p(s)).\nAnswer: s**2 + 8478*s + 262","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 + 0 - 0) + (-7 - 0).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -443, -1760, -3963, -7058, -11051, -15948, -21755, -28478?\n\"Answer: -t**3 - 437*t**2 + t - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -2, 19848, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 316187*n**2 - 315082*n**2 + 809*n**3 - 112*n**3 wrt n.\nAnswer: 4182","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**(-3\/7))\/(z**(-1\/12)\/z))\/(((z*(z**(-2\/9)*z)\/z*z)\/z*z*z)\/((z\/z**(-3))\/z)))\/(z**(1\/4)*z*z**(2\/15))**(-6\/23) assuming z is positive.\nAnswer: z**(64853\/28980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2328 > 594?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -2*w**2\/13 + 1114*w\/13 = 0.\nAnswer: 0, 557","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ei when two letters picked without replacement from aiieieaaeei.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -231, -239, -251, -267, -287, -311, -339?\nAnswer: -371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 234 to the power of 1\/2, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k**(23\/4)*k)*k*(k\/k**(1\/6))\/k*((k**(-27)\/k*k)\/k)\/k*(k**(-13)*k)\/k assuming k is positive.\nAnswer: k**(-563\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4368 - 3337 + 3083 = -201*x - 3122 for x.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 4*i**2 + 319*i + 2. Let m(w) = 7*w. Give s(m(d)).\nAnswer: 196*d**2 + 2233*d + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven fifths of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 18*f**2 + 16*f - 13. Let o(r) = -9*r**2 - 8*r + 6. What is 6*d(b) + 13*o(b)?\nAnswer: -9*b**2 - 8*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20161.\nAnswer: 20161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-99)\/(-45)*-5 - -6774?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 20231\/4 + -5058. What is the closest to -1\/2 in o, 11\/16, 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.1 - -16.3. Let q = 313050.405 - 313036.2050071. Let l = q - v. What is l rounded to six decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 77303910 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - f = 2*f, -5*t + 4*f + 36 = 0. Suppose 3*j + 4*o - 22 = j, t*o + 97 = 5*j. What is the remainder when 67 is divided by j?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -375 = -4*t - 11*t. Solve -4*h - h - t = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -6723124, -6723115, -6723108, -6723103, -6723100, -6723099, -6723100?\n\"Answer: -m**2 + 12*m - 6723135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 4*z**2. Let c(m) be the first derivative of -m**4\/24 + m**2\/2 + 3. Let d(a) be the second derivative of c(a). What is b(d(y))?\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15\/41 - 1197\/1927. What is the biggest value in i, -2\/13, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -63, -165, -303, -477, -687, -933, -1215?\nAnswer: -1533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4811929340?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5 (b) 1 (c) -10.64 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1277.\nAnswer: 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 148637635?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 82*x - 6. Let l be s(6). Let k = 737 - l. What are the prime factors of k?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -0*b - 5*m + 44, -b - 5*m = -28. Calculate the greatest common divisor of 72 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -3*h**3 + 6*h**2 + 6. Let l(s) = 4*s**3 - 7*s**2 - 7. Let y be (-1 - 21\/(-6))*-2. Determine y*o(w) - 4*l(w).\nAnswer: -w**3 - 2*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11503?\nAnswer: 11503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55 + 48 - 103 - 31*q**2.\nAnswer: -31*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/12 - 31270\/(-8). Suppose -5*b + 12719 = -3*j, 4*j = -5*b + 16642 - y. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 5 + 0 - -3\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9? (a) 532 (b) -1 (c) -1\/8 (d) 15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**2 - 61*n + 27*n + 34*n + 2*n**2. Let d(y) = 2*y + 58. Give d(k(w)).\nAnswer: 6*w**2 + 58","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 111262060 is divided by 29.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 + -111. Let t be 1 - 2\/(4\/b). Let r = 70584 - 70583. Put t, r, 4 in increasing order.\nAnswer: r, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 246554008 divided by 1632808.\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*161.889\nAnswer: -80.9445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 152 is divided by 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (4 - (27 - 3))\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49296 = 4589*y + 3370*y - 1273*y - 278318 for y.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**3 + 19*c - 27*c**2 - 11*c + 27*c**2 + 3. Let o be k(0). Solve -5*u - o*u + 16 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1190687*w**4 - 4*w**3 - 2*w**2 + 3*w - 8760672 wrt w?\nAnswer: 28576488*w - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -62197, -124393, -186589, -248785, -310981?\n\"Answer: -62196*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the first derivative of o**7\/120 + o**6\/180 - 5*o**3\/3 - 1. Let v(i) be the third derivative of d(i). What is the third derivative of v(m) wrt m?\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g and 1 n when four letters picked without replacement from {v: 1, n: 4, g: 7, l: 2, t: 1}?\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -4*a - a - 2*x, -5*x = -3*a + 25. What is the second derivative of a*p - 15*p + 23 + 45*p**3 - 22 wrt p?\nAnswer: 270*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1435 (base 6) to base 12.\nAnswer: -27b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 20 + 3*r**3 + 10*r**2 - 22 + 5*r**2 + 14*r - 2*r**3. Let f be m(-13). What is the greatest common divisor of 22 and f?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12 + 15 - 7)*(2*s - 6*s + 2*s).\nAnswer: -40*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.28 - 0.36. Let p = 0.01 - u. Let i = 407 - 411. Is p smaller than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gw when two letters picked without replacement from wgggggggggwg?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -2*m. Let y = 18 - 26. Let u = y - -11. Let t(r) = -u + 0 + 3 + 5*r**2. Give p(t(l)).\nAnswer: -10*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 + 0 = 17*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/6 - -8*(-19)\/38.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 60 = -9*b. Suppose 831*t - 4*o = 833*t - 100, -2*t = -5*o - 145. Calculate the least common multiple of t and b.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.94 - 4. Let x = d + -0.04. What is the closest to x in 0.1, -4, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 150 - 216. Let f = h - -197. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t\/t**2*t*t)\/t**0)\/(t**(-2\/11)*(t*t**6)\/t))**(-22\/7) assuming t is positive.\nAnswer: t**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i**2 + 33. Let r(f) = 4*f**2 + 65. What is -5*j(p) + 2*r(p)?\nAnswer: -2*p**2 - 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 2*f + 200 - 200. Let g(w) = 620*w. Let r(n) = 27*n. Let o(m) = 4*g(m) - 93*r(m). Give y(o(b)).\nAnswer: -62*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, g: 4, k: 3, e: 4, r: 2, x: 6}. Give prob of picking 1 x and 1 k.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 5:13 AM?\nAnswer: 7:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -23 * 4.7\nAnswer: -108.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 2*v. Let g(i) = 8*i - 2. What is z(g(c))?\nAnswer: 16*c - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 465\/(-75) - 12*(-3)\/(-45). Which is the second smallest value? (a) -3 (b) n (c) 0.006\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 45342 + 4?\nAnswer: 45350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -20848740 divided by 168135?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -220? (a) 4 (b) -1 (c) 0.3 (d) -137\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-22)\/(-143) - (-66)\/(-260). What is the second biggest value in -2, -3\/7, r, 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(832)*-1)*5)**2.\nAnswer: 2000*sqrt(13) + 21425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 648.7633 tonnes in micrograms?\nAnswer: 648763300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8554318\/51 or 167732?\nAnswer: 167732","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) 4 (c) -0.051 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - -11 - -2) + -15?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (68\/51)\/((-8)\/(-18))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*1*(11\/(-9))\/11?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 39.8 + -378.8. Let t = n - -338.6. What is the smallest value in t, 0.2, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 5*m - 64 = 0. Calculate the least common multiple of m and 3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 1481 + 4544 = 0. Let x = -314 + w. Is x\/21 + (-6)\/14 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) 1 (b) -1\/3 (c) -254\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -42 and -791730927?\nAnswer: 791730885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -0.11 (b) 0.7 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 610496 = -5*u, 5*i + 61469 = u - 60617. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -1, -14.\nAnswer: -14, -7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 46\/55 and (34 - (-270324)\/(-7965))*(-18)\/(-8).\nAnswer: 6490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1756 - -2473. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -3*a**2 - 2*a - 1. Suppose -2*t - 1 = -t. Let h be d(t). Let p(r) = -2*r**3 - 2*r**2 - 3*r - 1. List the prime factors of p(h).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1096365 and 30.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45911, -183226, -412077, -732458, -1144363, -1647786?\nAnswer: -2242721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -48774? (a) 0.1 (b) -5\/4 (c) -1\/4 (d) 33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 4*l - 2*u = -14, 5*l - 3*u = 36. Suppose -7*g + l*g - 14 = 5*o, 2*g + 4 = -4*o. Solve g = -f - 2*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108*k + 38 = -89*k. What is the lowest common multiple of k and 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12160295 at least as big as 12160293?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/(-11)*5 + -62 + 47\nAnswer: -15\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from {y: 6, b: 6}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -57899?\nAnswer: -115798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -38 - 6?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 2*i + 1 + 3 = 0, -18*i + 10*i = -23*i - 180 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -2*z**5\/9 - 64*z**4\/9 - 38*z**3\/3 + 20*z**2 = 0.\nAnswer: -30, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 27341 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 - 6\/(-3 - 3). Let v = 7\/3 + -3. Put v, w, -4\/5 in increasing order.\nAnswer: w, -4\/5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - (3 + -30)) + (6 - -2)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a millennium in years?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -5*i**2 - 14125*i - 42330 = 0.\nAnswer: -2822, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h - 1. Let g be p(5). Suppose -g*x = -3*w - 26, 3*w + 10 = -2*w. Let z(f) = f**3 + 17*f**2 - 40*f - 33. Let m be z(-19). Solve -x*v + 25 = m for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/12, 85, -0.3, -1?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9705, 9050, 7961, 6438, 4481, 2090, -735?\nAnswer: -3994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1522148255.00000189 + -1522148033. Let j = -104 + -118. Let c = u + j. Round c to seven decimal places.\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -249210 divided by 49842?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from tptasntntasm?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.5 + -0.5. Let m = 33 + -93. Let u = 59.7 + m. Which is the second smallest value? (a) u (b) d (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 4070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4088578 and 8177156?\nAnswer: 8177156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*r - m + 16, -3*r + 418*m - 18 = 415*m for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 84 + 51. Let p(o) = 11*o**2 + 2*o + 1. Calculate the remainder when p(3) is divided by u.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*n - 23*n + 4 + 37*n - 20*n - 22*n.\nAnswer: -6*n + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - 2)*(-6)\/6. Suppose r*l = 6*l. Solve l - 2 = -u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) -1 (c) 4\/81 (d) 0.18354\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5767105 at most 28?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-66)\/(-112))\/(-11))\/((-2)\/(-8)).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15995 and 140.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q\/(q**(-19)\/q)*q*q*q*(q*q*q**2*q)\/q)\/((q**(-2\/15)\/q)\/(q**6\/q)))**(-12\/5) assuming q is positive.\nAnswer: q**(-2168\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -41 at most -36?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 6457?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 4145484473?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 2*q + 5*x - 4, -5*q + 2*x = -17. What is f in -4*f**q - 2*f + 5*f**3 - f**2 + f + f**4 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 255824*u**3 + 165616*u**2 wrt u.\nAnswer: 1534944","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-2*(2 + -1 + -2 + (sqrt(700) - sqrt(700)*-1) + sqrt(700) + sqrt(700)))**2.\nAnswer: -1920*sqrt(7) + 268824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1349969.\nAnswer: 19, 227, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 - o**2 + 5*o + 13. Let h be z(-3). Solve 0 = -4*t - 4*k - h, -9 = 3*t - t + 3*k for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29 - -28.7. Let s = 35.2 + -35. Let q be (2\/16)\/(6\/16). What is the second smallest value in i, q, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 PM and 11:00 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 29899 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, g: 3}. Give prob of sequence gg.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 563 > 608326?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 - z - z + 6*z**4 - 2*z**5 + 754*z**2 + 4*z**3 - 766*z**2 = 0 for z.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 7\/4, -2, 53\/2, -11, -4\/55?\nAnswer: -4\/55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -110803340 - -110803338.38929942. Let i = f - 16.38930002. Let t = -18 - i. Round t to six decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1441, -2\/7, 385.8?\nAnswer: 1441","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/9 (b) -3\/4 (c) -2\/15 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1470 - -3105?\nAnswer: 4575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 24 + -23.928. What is w rounded to two decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.61 + 0.09. Let s = 1 - t. Let n = -2.3 + s. Which is the biggest value? (a) 5 (b) 0.3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6756.313ml?\nAnswer: 6.756313","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 3*j**3 - 2*j**2 - j. Let u be 0 - (-3)\/3 - 2. Let z be m(u). Suppose -3*w - 3*c - 3 = 9, 2*w = 5*c + 20. Sort 5, w, z in ascending order.\nAnswer: z, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 + -3. Let a be (-40)\/(-16)*6\/5. Suppose a*w + 2*x - 40 = 52, -4*x = -5*w + 190. Calculate the remainder when w is divided by m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c = -78 + 8009. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (5 - 74\/4)*(-5 - -1). Let g be (2\/(-3))\/((-18)\/q). Suppose -g*k + 38 = -28. List the prime factors of k.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12*(-85)\/306*(-3)\/2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(500) + sqrt(500)*-1 + sqrt(500))*1*3)\/((sqrt(500)*-2)\/(sqrt(2) + sqrt(4)\/sqrt(2)*-4 + sqrt(2))).\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2019004, 2019015, 2019026, 2019037, 2019048?\n\"Answer: 11*x + 2018993","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 29\/319*(3 - 1). Solve 10\/11*k**2 + d*k**4 + 0 + 4\/11*k + 8\/11*k**3 = 0 for k.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.6831 - -69557?\nAnswer: 69560.6831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 26*v**2 + 83*v - 3335. Determine k(-13).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -17*p - 3. Suppose 0 = 2*c + 2 + 14. Let l(k) = 11*k + 2. Let g(u) = c*l(u) - 5*q(u). Give g(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of -4*a**2 + 1\/96*a**4 + 0*a - 1\/60*a**5 + 1\/8*a**3 + 0. Determine l so that w(l) = 0.\nAnswer: -3\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**5\/7 + 97*j**4\/7 + 13889*j**3\/7 - 1327073*j**2\/7 - 48193120*j\/7 + 4541228800\/7 = 0.\nAnswer: -83, 80, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) + 5*(sqrt(13) - sqrt(325)))**2 + 1*sqrt(1300).\nAnswer: 10*sqrt(13) + 4693","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011111111001100 (base 2) to base 7.\nAnswer: 263102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.01 and -20124145?\nAnswer: 20124144.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (6\/9)\/2 - (-140)\/84. Let l = 2 + -1. Solve -l = -f*t + 9 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*o**4\/8 - 333*o**3\/8 - 1611*o**2\/8 - 2235*o\/8 - 477\/4 = 0. Calculate o.\nAnswer: -106, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1\/11 (b) -0.12 (c) -6\/137 (d) 0 (e) -15 (f) -3\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 + 5*u + 5. Let f be k(-4). Let y(w) = -3*w - 7. Let q(s) = s - 2. Let m(x) = 4*q(x) - y(x). Give m(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -4303174?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 342 - -16265316?\nAnswer: 16265661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -9*m - 2. Let n(h) = -11*h - 39 + 79 - 42. Let x(o) = -6*n(o) + 7*q(o). Determine x(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*u + 6771 = 28695. List the prime factors of u.\nAnswer: 3, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 25*b - 6. Let f be g(0). Let n(q) = -q. Let o(k) = k. Let s(j) = j. Let y(d) = 6*o(d) - 4*s(d). Give f*n(v) - 5*y(v).\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14884 and 28.\nAnswer: 104188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssslkkb. What is prob of sequence sb?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i**3 + i**2 + i. Let a be z(-1). Let u be (72\/54)\/(2\/12). Let d be u + -10 + a\/(-1). Which is greater: 1 or d?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 40\/(-36)*(-1)\/5. What is the second biggest value in -0.3, -0.2, d?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = 5*o - h + 17, -3*h - 6 = 0 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 51.4 or -363?\nAnswer: -363","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17 - (-4 + (0 - -5) - 5) is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 7790697?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4797*w**2 + 21*w**3 - 4797*w**2.\nAnswer: 21*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1722788747 a multiple of 429?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 57072, 57687, 58302, 58917, 59532?\nAnswer: 60147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 15*x - 6234. Let t(k) = 4*k - 1786. Calculate 5*m(f) - 18*t(f).\nAnswer: 3*f + 978","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -443*p**2 + 1819*p**2 - 444*p**2 - 486*p**2 - 443*p**2.\nAnswer: 3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*i**3 - 9 + 9)*(7 + 12 + 36)*(1 - 2 + 0)*(-i**2 - 2*i**2 + 5*i**2 + (-1 + 2 + 0)*(4*i**2 + i**2 - 3*i**2)).\nAnswer: 1320*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 120 = 3*z. Solve 2*y - 5*b = -z, 6*y = y + 4*b - 12 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*a**4*y**2 + 9*a**4*y - 1786*a**4 + 1931*a**2 - 32*y**2 wrt a.\nAnswer: -48*a*y**2 + 216*a*y - 42864*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1\/9 + 5\/36. Let q = 51 + -17. Suppose -4 = 5*c + 5*x - q, -3*x = -15. Which is smaller: c or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 235, 2113, 7329, 17575, 34543, 59925, 95413, 142699?\nAnswer: 203475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 - 477*w + 1947. Determine r(4).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14813*a + 9285*a - 93752 = 76631 + 72849 for a.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 380 + -555. Let o = n + 176. Solve 0 = -2*a + 3*a + o for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*p = -1554 + 1776 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 - 5*v**2 - 18*v - 13. Calculate g(8).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pppp when four letters picked without replacement from ppppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1600094266?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 + c**2 + 11. Let o be h(0). Let x be 2\/(-2)*1 - -45. Calculate the highest common factor of x and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = -4, -c + 0*z = 101*z + 447 for c.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 101671474 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -125 + 344. Let b = -217 + h. Let j be ((-45)\/84)\/((-6)\/16). Is b less than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2851424 less than 1.97?\nAnswer: 2851425.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-742)\/21)\/(2\/(-3)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 21 (b) -5\/3 (c) -1 (d) 8 (e) 0.02 (f) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23\/(1380\/25)*(-16)\/(-15)?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 27 = -5*n, 3*w - 2*w = n + 9. Is w a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 71*a + 20 = -67*a, -3*b = 4*a - 20. Factor 1\/5*i**2 - 3\/5*i**3 + 3\/5*i**4 + 0*i + b - 1\/5*i**5.\nAnswer: -i**2*(i - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 437.62 - 5.62. Let g = r - 436. Suppose 5*w = -5*f + 95, -3*w - 6*f + 57 = -f. Which is the smallest value? (a) g (b) -2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/13? (a) -0.4 (b) 0 (c) -1 (d) -1\/7 (e) 1539\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 p when three letters picked without replacement from {p: 6, k: 6, z: 3}?\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add -11.52 and -10.\nAnswer: -21.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of o**6\/21 + 2*o**5\/5 + 11*o**4\/14 - 2*o**3\/3 - 12*o**2\/7 + 1227. Let f(j) = 0. Calculate j.\nAnswer: -4, -3, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 0.7, -1, -5.68, 5 in decreasing order.\nAnswer: 5, 0.7, 0.2, -1, -5.68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1070129 less than -1070128?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -109592256*d - 3 + 109592256*d + 3904*d**2 in the form j*d + f*d**2 + l and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 + 7. Suppose 32 + 25 = 3*c + 3*r, -v*c + 4*r = -29. Suppose 0 = 5*o + 4*w - 18, -4*w = 2*o - 0*w. Calculate the greatest common factor of o and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2\/125 of a litre?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a**2 + 7*a - 10*a**2 - 12*a**2 - 9*a**2 - 1.\nAnswer: -36*a**2 + 7*a - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/40 + 189\/5. Suppose -s - n = -122. Is s a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 561 + 1590 = 239*b for b.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - n + 459 - 444 = 0, -2*g - 5*n = -21 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/57, 2, 23696?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2004342 (base 8) to base 5\nAnswer: -113322222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 10*u - 6*u + 2.\nAnswer: 4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 109*g**5 - 80*g**5 - 139*g**5 + (-2*g**3 + g**3 + 3*g**3)*(g**2 - 3*g**2 + 3*g**2).\nAnswer: -108*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of 3\/140*s**6 + 0*s + 5\/84*s**4 - 2\/21*s**3 - 13*s**2 + 0 + 8\/105*s**5. Let v(o) = 0. What is o?\nAnswer: -1, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1912 (b) 0 (c) -1 (d) -2\/15 (e) 5\/4 (f) 44 (g) -8\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4 - -4)\/(0 - -1). Suppose o = 7*l - 12*l. Factor 3 + l - 2*y**2 + 1 + 2*y.\nAnswer: -2*(y - 2)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, 3, -1, 42, 4 in descending order.\nAnswer: 42, 4, 3, -1, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/3 and -38\/33897801?\nAnswer: 33897801","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000227068 rounded to six decimal places?\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 16 and 3064?\nAnswer: 6128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (-40)\/6)*(1783 - 1804)?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/3 + 4189*v\/3 + 49280.\nAnswer: -(v - 4224)*(v + 35)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.34 - 1.34. Which is the closest to 1? (a) 4 (b) -0.2 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wsbu when four letters picked without replacement from {w: 5, h: 3, s: 2, b: 1, u: 7, r: 2}.\nAnswer: 7\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqffjjqqqjj. What is prob of sequence qqfq?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of -w**6\/6 - w**5\/4 + 5*w**4\/4 + 5*w**3\/6 - 5*w**2 - 112*w - 271. Let n(r) be the first derivative of g(r). Solve n(h) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 36 - 11 = -n, 0 = 5*n - 5*k - 175. Calculate the remainder when n is divided by 0 + (-1 - -2) - -13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 3*t - t - 2*t - 2*t. Let j(p) = 0*p**2 + 16*p**2 - 3*p**2. Give j(b(r)).\nAnswer: 52*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -3. Suppose 0 = -2*l - 4*a + 2*a - 2, 4*l - 20 = j*a. Suppose 0 = -l*g + i - 6, -2*i + 5 = -1. What is the nearest to 0 in -0.5, -2\/11, g?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1812 and 205813?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of -h**7\/2205 + 19*h**6\/1260 + 23*h**5\/315 - 19*h**4\/63 - 8*h**3\/3 - 9*h**2 - 28*h. Find a, given that q(a) = 0.\nAnswer: -2, 2, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) 3\/5 (b) 16 (c) 0.4 (d) 0 (e) 0.66\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, m: 1, q: 2, j: 1, n: 1}. What is prob of picking 1 n and 1 g?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 PM and 3:10 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67892.\nAnswer: 2, 11, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((2*((sqrt(539) + sqrt(539) + -1 - sqrt(539)) + sqrt(539)))**2 - (-2 + sqrt(539) + 1 + sqrt(539))).\nAnswer: -8629 + 126*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 100 and 550?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are 9371106 and 65597739\/7 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 15, -5*u + 4*g - 2 = -0. Let t(k) = -k**u - 7*k - 24 + 13*k + 6*k + 0*k. What is the units digit of t(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 2*v - 2. Let z = -3 + v. Let f be z\/(-2) + 14\/4. Solve f*a = -0*a - 16 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142592 is divided by 83?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 268972 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: Let g be (2\/(-3))\/(70\/(-21) - -3). Put g, -4, 4, -5 in decreasing order.\nAnswer: 4, g, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 2*k + 139 = 3*k, 2*s - k - 234 = 0. What are the prime factors of s?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 + 4*g**2 + 3*g - 1. Let l be x(-3). Let w be 3\/l*(-80)\/48. Solve w*o + 12 = -k, -k + 4*o + 21 = 6 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -33*k**2 + 32*k - 2. Let d be 8\/36 + (-180)\/81. Let t be 1 + (-1 - 3) + 9. Let f(b) = -b. Let n(a) = d*w(a) + t*f(a). Factor n(j).\nAnswer: 2*(j - 1)*(33*j - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6636 divided by 1659?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5626, -2, 8, 4, 5, 3.\nAnswer: -2, 3, 4, 5, 8, 5626","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.482 rounded to the nearest 10?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*i - 66 = -127*i for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 4*z - 32. Calculate the lowest common multiple of 2 and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -170 - -170. Which is greater: -2\/25 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - 4c?\nAnswer: -4f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 162 - 192. What is the smallest common multiple of ((-54)\/10)\/(1\/u) and 4?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17, -110, -361, -848, -1649?\nAnswer: -2842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 AM and 5:10 AM?\nAnswer: 286","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 158\/13 - 577\/117. Let v = 17965\/7062 - -1\/642. Calculate the common denominator of a and v.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -3 (b) -5\/3 (c) 2\/5 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3237211 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**5\/6 - 43*f**4\/6 + 113*f**3\/2 + 909*f**2\/2 + 360*f - 864 = 0. Calculate f.\nAnswer: -3, 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 2*c + 4, -2*c - 3 = -2*v + 3. Let g = 3 + c. Let j be (-16)\/(-44)*g\/4. Which is smaller: -1 or j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1634 and 186133025?\nAnswer: 817","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p**3 + 0*p**3 + 0*p**3)*(3*p + 0*p - p)*(0*p - p + 0*p).\nAnswer: 2*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.149 + -47.549. Let h = r - -52. Round h to 0 dps.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8276 + -8280. Sort 3\/25, -2, i, -0.4, 7.\nAnswer: i, -2, -0.4, 3\/25, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 9, d: 1, c: 1, y: 3, a: 4}. Give prob of sequence aa.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 38.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -g - g**3 + 3*g**2 + 2*g**2 - 3*g**2 + 5*g**3 in the form w + x*g + z*g**3 + n*g**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 + 4\/4 + 165\/11. What is the closest to o in 3\/5, -1, 1\/2, -3\/2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12213013 (base 4) in base 9?\nAnswer: -41127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + 222033?\nAnswer: 222033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1255 + -1254. Let g be (2 + 0)*h\/((-120)\/(-100)). Find w, given that -1\/3*w**5 + 0 + g*w**2 - 1\/3*w**4 + 2\/3*w + w**3 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11317 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the third derivative of -n**6\/120 - n**5\/10 - n**4\/12 + n**3\/6 - 15*n**2. Let u be ((-160)\/(-3))\/(-8) + 2\/3. Calculate r(u).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*f - 819 = -59*f - 45*f for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13.2? (a) 0.2 (b) -9 (c) 760\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 i when three letters picked without replacement from {m: 5, i: 2, s: 2}?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -51 - -46. Let a be ((-188)\/94)\/(1\/2). What is the second biggest value in g, a, 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**3 + 4*j**2 - 5*j - 4. Let d be h(-5). Let m be d\/(-7 - -3) + 1. Suppose r + 0*r = m*b - 71, 0 = 5*b - 2*r - 176. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11220 divided by 110\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 3 + 3)*((5*n - 2*n - 2*n)*(3*n - n**2 - 3*n) - 2*n**3 - 4*n**2 + 4*n**2 - 1226 + 1226 - 33*n**3)*(12*n**2 - 5*n + 5*n).\nAnswer: -864*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 3 - 4 + 1 - 1 + 1 + (2 - 3 + 0)*(-1 - 2 + 5) - 3 - 4 + 5)*(15*a + 14*a - 11*a) to v*a + l and give v.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*u = 23*u + 40 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 y, and 1 l when three letters picked without replacement from {u: 1, m: 3, y: 1, l: 1, k: 6, j: 1}?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1075 and 51127.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*z**2 + 3*z**2 - 4*z**3 + (1 - 2*z**3 - 1)*(-1 + 2 + 2) + 21*z**3 + 5*z**3 - 5*z**3 in the form y + g*z**3 + o*z + m*z**2 and give g.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((6 + 0)*(-17)\/102)\/((-3)\/81939)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 5310683*f**3 - 6 + 7.\nAnswer: 5310683*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 38 = 4*p, 2*j - 4*p = -9*p - 13. Suppose 227 - 2467 = -5*m. Let x(l) = m*l - 4*l**2 + 2 - 442*l - 2. Let g(n) = n**2 - n. Give j*g(b) + x(b).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/10527, 2\/15, 1.1?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 + 8*g**2 + 7*g + 2. Let m be j(-7). Let w be 4\/8*3\/(-6)*0. Put w, m, -4 in ascending order.\nAnswer: -4, w, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/23? (a) 0.5 (b) -5 (c) -128 (d) -0.1 (e) 0.105\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 1 = -4*x - 3*a, 5*x - 3*a = 35. Find the common denominator of (-48)\/(2\/x - 2) and -58\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41179 is divided by 792.\nAnswer: 787","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -3*b**2 + 12. Let o(z) be the second derivative of -z**4\/12 + 5*z**2\/2 + 10*z. Let l = -23 - -18. Let p(q) = l*f(q) + 12*o(q). Factor p(d).\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6*7\/(28\/(-18)). Let r = -22 - s. Suppose 3 + r = 2*u. Calculate the greatest common divisor of 8 and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28 - -19. Let y = 239.8 + -229. Let l = 15.8 - y. What is the nearest to -1 in o, l, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109062?\nAnswer: 2, 3, 73, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 10, 6, -75, -4 in increasing order.\nAnswer: -75, -4, -2, 6, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 51*s**2 - 2547*s - 2833. What is q(51)?\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-10)*-13*(-6)\/78.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2883006, 5766029, 8649052?\n\"Answer: 2883023*w - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 20576452 to the power of 1\/3, to the nearest integer?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 244 and 68564?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**0)\/a)\/a**(-2\/27)*a**6\/a*a*a\/((a**(-5\/4)\/a)\/a)*a assuming a is positive.\nAnswer: a**(1223\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*p - 34 = v + 31*p + 113, 4*p - 3 = 13*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -31863 or -31866?\nAnswer: -31863","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2230*x**2 + 2378*x**2 - 40*x + 3610*x**2 + 37*x.\nAnswer: 8218*x**2 - 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**2\/5 - 6*z\/5 + 144\/5.\nAnswer: -3*(z - 6)*(z + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.159 and -855758117199.\nAnswer: -855758117199.159","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = -3*o - 2. Suppose u = -5*f + 15, -3*f + 1 = -2*u + u. Let j = f + o. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/7 - (-1235)\/(-133). Is -3261*((-4)\/18 + 1\/j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5300.09 centuries in months?\nAnswer: 6360108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -12361515\/43 greater than -287477?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 33992431 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of 0*v + 5*v**2 + 40 - 1\/3*v**3. Determine q(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 - 3.8. Let y = l + 1.7944. Round y to 3 decimal places.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4.4 + -1.6. Which is the closest to s? (a) -4\/3 (b) 3 (c) -2 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2216*o + 2215*o - 4430*o + 145 as n*o + m and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-114)\/(-15) + (-168)\/30 + 5. Suppose -d + 25 = 3*t - 3*l, 2*t = -l + 18. Solve -3*o - 4*w + 33 = t, -23 = -o - 5*w for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:01 PM and 5:17 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 76353981?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 g, and 1 s when three letters picked without replacement from gjjjjsssgjog?\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 531 smaller than 112982\/213?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.88 in -0.22, 1\/3, -22?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 2*h - 1 = 0, -10922*l = -10920*l - 2*h - 14 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 68 and 2431?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002318819 rounded to 7 decimal places?\nAnswer: 0.0000232","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -k**3 + 13346*k**4 + 2*k + 13348*k**4 + 2*k**2 + 2 - 26691*k**4 as d + i*k**3 + j*k**4 + x*k + y*k**2 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1538*w**4 + 1266*w**4 + 8019*w**4)*(1 - 4 + 2) to s*w**3 + h*w**4 + q*w**2 + z + a*w and give h.\nAnswer: -7747","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3139, 7, 4, -8, -152, 2.\nAnswer: -3139, -152, -8, 2, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002318323 rounded to five dps?\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 128, -2\/3, 168519, 0.2, -0.1?\nAnswer: 128","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1023 (base 6) in base 12?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is a - 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange r**3 - 4 + 4*r**2 + 638*r - 5*r**2 + 2*r**4 - 635*r + 3*r**2 to d*r + l*r**4 + o + a*r**3 + h*r**2 and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 + 12*g - 1. Let a be d(-12). Let i = a + 4. Suppose -3*p + i*u - 6 - 3 = 0, 4*p = u + 3. Solve b = -p*b + 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**2 + w + 5. Let l be j(0). Suppose l*a - 3*z - 324 = 0, 4*a = -0*a - 5*z + 274. Suppose a + 60 = 2*n. Does 21 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-363 - -13)\/((-2)\/8). Let b = o + -972. Is 12 a factor of 34\/153 - b\/(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1014 and 1083550?\nAnswer: 42258450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -75, -290, -657, -1182, -1871, -2730, -3765?\n\"Answer: -j**3 - 70*j**2 + 2*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*v + 6, 0 = 2*g + 2*v. Suppose 3*w = 3*z - 24, 0 = 4*z - 2 - g. Let q(u) = -6*u - 23. What is the tens digit of q(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -145044 (base 6) in base 13?\nAnswer: -6532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2*-6)\/(18\/(-12)). Let x = 2 - 0. Solve -x = -5*p + y for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4940341 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -183.7 - 44.3. Let h = -228.00041 - b. What is h rounded to 5 dps?\nAnswer: -0.00041","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32 + -26. Solve v = l + 2 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b**3 - 2*b**3 + b**3 + (-4*b + 4*b - b)*(3*b**2 + 0*b**2 - 2*b**2) - 263*b**2 - 19*b**3 + 263*b**2.\nAnswer: -21*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/7)\/f)\/(f**(1\/4)\/f)*(f**11\/f*f)\/(f\/(f*f*(f*f**10)\/f*f)*f) assuming f is positive.\nAnswer: f**(601\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -32 + 94. Suppose 3*g - 5*x + n = -0*g, 5*g + x + 66 = 0. Let a be (-4)\/g + (-278)\/(-7). Calculate the highest common divisor of 16 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10011011101100000 (base 2) in base 15?\nAnswer: 18942","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/4 + 2850*i + 5699.\nAnswer: (i + 2)*(i + 11398)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.014128 rounded to 3 dps?\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 30332212 + -11?\nAnswer: 30332201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 116*y - 132*y = -192. Suppose -11 - 197 = -4*n. Suppose 14 + n = 3*i. What is the lowest common multiple of y and i?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36026?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3672461201 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of -b**4\/3 + 2474*b. Let o(p) = 0*p - p - 15*p - 5*p. Give l(o(n)).\nAnswer: -1764*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 + d**2 + 3*d - 3. Let z be f(-2). Suppose z*j - 2*i = 230, -2*j - i = 3*j - 366. What is the tens digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*2*sqrt(88) + (sqrt(88) - (sqrt(88)*-1 + sqrt(88)))*-2)\/(-2*sqrt(392) + (sqrt(128)*2 - sqrt(8))).\nAnswer: -4*sqrt(11)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**2 - 6*b**2 - b**2)*(5 - 15 + 8)*(-3 + 5 - 4).\nAnswer: -32*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 0.45, 2\/271, 1\/4 in ascending order.\nAnswer: -0.4, 2\/271, 1\/4, 0.45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (100\/30)\/5*12\/(-40)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = 4*u - 1912, 0*u - 3*o + 953 = 2*u. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 179421 to the power of 1\/3, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 23080 less than -2881.4568?\nAnswer: -25961.4568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/10 of a centimeter?\nAnswer: 1000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 49659*q**4 - 118*q**2 - 70*q - 3?\nAnswer: 1191816*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2*v. Let n(j) = -j. Let m(t) = -8*n(t) + 3*z(t). Let f(r) = r**2. Calculate f(m(w)).\nAnswer: 4*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-2)*(4*-5)\/5\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2*(sqrt(200)*-1 + 5) + (-2*sqrt(200)*4 - sqrt(200)) + sqrt(200)*2*2)*-5*-1.\nAnswer: -100 + 700*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(-5) + (-260)\/(-25). Suppose -2*g = -q*g. Let i(s) = -s + 1. What is i(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1011468 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 155818520 to the nearest integer?\nAnswer: 538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 178 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*h - 2*h**3 + 2*h + 4*h**3 + 8*h - 4*h**4 in the form g*h**4 + r*h + i + d*h**2 + b*h**3 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6699 + 30359. Is h a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, f: 3}. What is prob of picking 3 f?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_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: Let k = -0.35243 - 23.59057. Let b = -107 - -83. Let o = k - b. Round o to two decimal places.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d*d*d\/(d\/d**(-5)))\/d*d**1)\/(d**(-3)\/d*d*d\/(d*d**(1\/11))))**23)**(-1\/5) assuming d is positive.\nAnswer: d**(-23\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 66*p + 1786. What is the remainder when 68 is divided by v(-27)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -134589189?\nAnswer: -134589189","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6897 = -22*c - 341*c. Calculate the lowest common multiple of c and 5.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + -2. Suppose -5*n = -4*p - c, 2*n + 2*p - 16 = -0. Put 0, -7, n in decreasing order.\nAnswer: n, 0, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zhzhzhhzhhhhhh. What is prob of picking 3 h?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (-35)\/(350\/615)*3386*(-3)\/9 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3598)\/(-6) + (-12)\/(-36) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the second derivative of -5*f**4\/12 + f - 140. Let a(s) = -13*s**2. What is v(a(r))?\nAnswer: -845*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101033 is divided by 616?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 + 7*t**2 + 8*t + 2. Let m be r(8). Solve 4 = m*w - 0*w + d, 4 = 3*w + d for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/18*6\/16.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 622353?\nAnswer: 3, 17, 12203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 3*l. Let u be 4 - (3 + 4 - 0). Let n be ((-9)\/u - 1) + 19. Let x = -23 + n. What is h(x)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -655 + 655. Let u(c) be the third derivative of 11*c**2 + y*c + 0 + 2\/9*c**3 - 1\/90*c**5 + 1\/36*c**4. Factor u(v).\nAnswer: -2*(v - 2)*(v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*m**4 - 3 - 7301*m**2 + 7299*m**2 + 9*m**4 + 2*m**3 - 3*m - 13*m**4 to the form j + k*m**4 + l*m + i*m**2 + c*m**3 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + d - h + 11 = 0, d - h + 3 = 0. Let l(y) = -y - 1. Let z be l(d). Calculate the remainder when 2 - (9 - z - 3) - -26 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -307473.\nAnswer: 307473","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6360*o**2 - 813*o + 815*o + 2924*o**2 + 174 wrt o.\nAnswer: 18568","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00032643131 to 5 dps.\nAnswer: 0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -544, -727, -910, -1093, -1276?\nAnswer: -1459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3789*v**3 - 3477*v**3 + 11563*v**3.\nAnswer: 11875*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 17, -0.4, 93 in ascending order.\nAnswer: -0.4, 0, 17, 93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 5*d**2 + 93*d - 29. Let a be c(-19). Solve 4*i = -b + a, -4*b - 18 = -i + b for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2561, -1, 6, -4\/5, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 1\/3, 0.4, -4 in descending order.\nAnswer: 9, 0.4, 1\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 804 and 4367?\nAnswer: 3511068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*v - 3*v**2 - 35*v + 5*v**2 to f + k*v + z*v**2 and give k.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -1\/4 (c) -5 (d) -0.5299 (e) 0.6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3457263?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4308 divided by -4.\nAnswer: -1077","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -809 + 795 = -4*z - 2*s, 13 = 4*z + 3*s for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - ((4 - 18) + -1).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express a**2 + 2*a**3 - 2*a**4 - 6 - a**2 as i + s*a**2 + t*a**4 + l*a**3 + v*a and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16 + 25. Let g(t) = t**2 - 10*t + 9. Let p be g(x). Factor p*j + 2\/5*j**2 + 0 - 2\/5*j**3.\nAnswer: -2*j**2*(j - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (231\/88)\/((-18)\/120*-5).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1819*c + 872*c + 947*c - 54*c**3.\nAnswer: -54*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 - (20\/5 + -4). Let g(q) = -q**3 + 5*q**2 - 4*q + 6. Give g(x).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1220 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 4*f = 3*h + 22, -5*f = 2*h - 27. Put h, 2, 7 in ascending order.\nAnswer: h, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21207.\nAnswer: 3, 7069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(50) - (sqrt(5000) + sqrt(5000) + sqrt(5000) + sqrt(5000)*2 + sqrt(5000)))\/(sqrt(90)\/(sqrt(18)\/sqrt(2))) + -1*(1*sqrt(15)*2)\/sqrt(3))**2.\nAnswer: 18605","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 3*c = -f - 13, f = 5*c + 19. Suppose 0 = -4*d - 5*o + 97, -21 = -f*d + o + 94. What is the highest common factor of d and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23552077 is divided by 3967.\nAnswer: 3965","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -10\/7 (b) 10.8 (c) 15 (d) -168\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 r when three letters picked without replacement from {u: 1, m: 1, h: 4, d: 4, r: 1, v: 1}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2733 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -5*l - 24893, -207*c + 212*c + 3*l - 41511 = 0. What is the tens digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -2*k - 6, -4*k = -2*p + 6*p - 20. Let o be k\/(-5) - 4\/80. Which is the biggest value? (a) 1 (b) o (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2558*n - 1. Let s be i(4). Let l = 7571 + s. Let t = -25802 + l. What is t rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 5\/2, 2\/3, 1, 9?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90894 - 68901 = -2819*x - 103838 - 85594 for x.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -1\/2 (c) -26 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 18\/65 (c) 27.51 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3566679, 3566682, 3566685, 3566688, 3566691, 3566694?\nAnswer: 3566697","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 10639296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -111, 4751 in decreasing order.\nAnswer: 4751, 5, -111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2419 + 2422. Let a(n) = -6*n**2 + n. Let u(y) = 17*y**2 - 4*y. Determine w*u(r) + 8*a(r).\nAnswer: 3*r**2 - 4*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 1 - 1)*(4 - 2 - 3)*(28*z + 976 - 976)*(3*z - 3*z - 3*z) as s*z + v + t*z**2 and give t.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3972209*h**3 - 2*h - 77048030?\nAnswer: 11916627*h**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 43*m + 431. Let s be j(-10). Let t = 131.7 + -125. Let q = -7 + t. Which is the smallest value? (a) s (b) -5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pcc when three letters picked without replacement from {z: 1, p: 7, u: 3, f: 1, c: 2}?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/89032467?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, 4, 29, -0.3, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1886? (a) -2 (b) 0.3 (c) 53 (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 67 a factor of 55594527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 - l**2 - l + 33. Let d be h(0). Let o = d - 14. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 11 - 1. Suppose -x - 4*t + 16 = -u*x, -5*x = -5*t + 20. Let r be (12\/(-7))\/(x - 5\/(-15)). Which is the closest to 0? (a) -3 (b) -4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-968)\/(-240) - 4)*(2 + 2).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**3 - a**3 + a**3)*(a + 2 - 2) - 12*a + 4*a**4 + 12*a + 2*a**4 - 4*a**3 + 4*a**3 + 8*a + 2*a**2.\nAnswer: 7*a**4 + 2*a**2 + 8*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 1 - 2*z**2 - 2*z + 0*z - 4*z. Suppose 5*h - 5 = 5. Suppose -2*k - h*k = 24. Let s(p) = 2*p**2 + 5*p - 1. Give k*s(t) - 5*b(t).\nAnswer: -2*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*b + 66*b - 123*b = -5. What is the closest to 1\/19 in -0.2, b, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35325.4 rounded to the nearest ten?\nAnswer: 35330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 2. Let b(i) be the third derivative of i**6\/40 + i**4\/24 + i**3\/6 - 2*i**2. Let z(n) = 10*n**3 + 3*n + 2. Determine h*z(w) - 7*b(w).\nAnswer: -w**3 - w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -640*o + 0 + 2 - 10.\nAnswer: -640*o - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2493795281 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4655476223 to the nearest integer?\nAnswer: 68231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert dd4b (base 14) to base 2.\nAnswer: 1001010110001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 110687633 smaller than 110687632?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(475) + -3 + -2 + ((sqrt(304) + -1)*-6)**2*4.\nAnswer: -1147*sqrt(19) + 43919","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 180*x - 196. What is the units digit of l(12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*f**2 + 6*f**2 - 6*f**2.\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2*l. Let m(k) = -7*k. Let a(i) = 6*m(i) - 22*u(i). Give a(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7481 + -7452. Let y(i) be the second derivative of -8\/3*i**3 + 0 + o*i + 4*i**2 + 5\/6*i**4 - 1\/10*i**5. Factor y(u).\nAnswer: -2*(u - 2)**2*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*o**4 + o**3 - o**4 + 0*o**4)*(-166 + 87 + 24) to the form a + c*o + x*o**4 + k*o**3 + s*o**2 and give x.\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 2*k. Suppose 8*g - 120 = -12*g. Determine p(g).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 845874257 to the power of 1\/2, to the nearest integer?\nAnswer: 29084","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*q - 4250 = -4237 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -44*t - 155. Let h be w(-10). Solve h = 7*z + 243 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 3838032?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -1873*n + 14994. What is s(8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(1\/7))**(-2\/37)*c\/((c\/(c\/(c\/c**11))*c)\/c*c)*c*c*c\/(c**(1\/8)*c) assuming c is positive.\nAnswer: c**(24477\/2072)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 207333?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 6856397.\nAnswer: 685639.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/2*1157\/(-1157)*11\/(-2)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38908517719 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 9:16 PM?\nAnswer: 8:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000219728 to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.0423, 1\/3, -1\/8, -25 in decreasing order.\nAnswer: 4, 1\/3, -0.0423, -1\/8, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 9958444?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -40*r + 1. Is f(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1 + (-3)\/(-6) - 1. Let s = 0.01 - 0.31. Let q = -0.2 + s. Which is the third smallest value? (a) q (b) -1 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-3))**(-15)*(y*y\/y**(-8))\/y**(-2\/25) assuming y is positive.\nAnswer: y**(-1248\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 13306*q + 254. Let p be a(-9). Round p to the nearest 10000.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -49578084*f**3 + 85641947*f wrt f.\nAnswer: -297468504*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1 - 5)*-2)\/((-2)\/(-7)). Suppose 45 = j*m - 459. Solve 17*g - m = 21*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2363, 4721, 7079, 9437, 11795, 14153?\n\"Answer: 2358*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2485?\nAnswer: 5, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17 - 25) + (8 + -3 - 3) - -22.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -70.18 - -71. Let t = s + -1.6. Round t to 1 decimal place.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence niz when three letters picked without replacement from {m: 3, z: 1, i: 4, n: 6, a: 1}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -42, -94, -166, -258?\nAnswer: -370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46555?\nAnswer: 5, 9311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 192551?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 6102, 6077, 6032, 5961, 5858, 5717?\n\"Answer: -c**3 - 4*c**2 - 6*c + 6113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*x - 4*x - f = -7, 4*x = -5*f + 19 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (190*d + 0 - 1 - 78*d)*(8*d - 12*d - 21*d)*(2*d - 2*d - 2*d) + (3 - 5 + 4)*(d**3 + 0*d**3 - 3*d**3) in the form z*d + l + j*d**3 + b*d**2 and give j.\nAnswer: 5596","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 3*a**2. Let i(d) = 4*d - 4. Let g be i(1). Let h be (-3)\/(g + 3) + 2. Let c be z(h). Let m(n) = 2*n**2 - 4*n - 1. Calculate m(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of -c**7\/2520 - 7*c**6\/720 + c**4\/12 + 2*c**3 - 4*c**2 - 2*c. Let s(a) be the second derivative of m(a). Give s(-5).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21 + -18. Sort -1, n, -4 in decreasing order.\nAnswer: n, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126100 to the power of 1\/2, to the nearest integer?\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 296 = 86*j + 48*j + 14*j. Sort -26, -18, 1, j in decreasing order.\nAnswer: j, 1, -18, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of -48*r**2 - 8*r**3 - 1\/30*r**6 + 7\/15*r**5 - 2\/3*r**4 + 0 + 0*r. Suppose k(h) = 0. Calculate h.\nAnswer: -1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6528 is divided by 500.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 5 - 6*k)*(3 - 4 - 1) - 5615 - 313*k + 11226 - 3866*k - 5611 to w*k + a and give w.\nAnswer: -4167","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in 1\/5, -43.6, 1.2, -3, -0.2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 7. Let v(b) = -b**2 + 19*b - 83. Let x be v(12). Let u(h) = -13*h - 182. Let g(p) = x*u(p) + 26*l(p). Calculate g(1).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -3*d**2. Let v(a) = -a**2. Let q(j) be the first derivative of -j**3\/3 - 1. Let t = -13000 + 13001. Let h(p) = t*q(p) - 4*v(p). Determine r(h(z)).\nAnswer: -27*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6760*c - 1162866 = -16148*c + 142066 for c.\nAnswer: 139","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 641030?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 12341629 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + 0. Suppose 0 = 4*d - p + 84, -d + 74 = -4*d - 2*p. Let m = -12 - d. Calculate the remainder when m is divided by u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 47 times -3833243\nAnswer: -180162421","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 - -10756?\nAnswer: 1075b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.245707304 + -0.24576. What is y rounded to 7 dps?\nAnswer: -0.0000527","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/5*10\/16. Let b = 7.53 - 7.93. Put 0.2, -3\/7, b, f in decreasing order.\nAnswer: 0.2, f, b, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -78 - -123. Suppose -129 = -7*r - p. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-c**2 - 15*c**2 - 3*c**2)*((-3 + 3 + c)*(-2*c - 4*c + 2*c) - 70 + 105*c**2 + 70) to the form k*c**3 + p*c**2 + b*c**4 + g*c + o and give b.\nAnswer: -1919","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 25, -0.4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 798?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1424 + u**2 - u**3 - 3843 + 2419 - u**2.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-41 + 69 - (3 - (2 - 2))) + 2?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 2 o when four letters picked without replacement from {c: 3, o: 13}.\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (9 - (-1 + 9))*(-10)\/4*-3442?\nAnswer: 5, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 697.43796 from -219.\nAnswer: -916.43796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5365 is divided by 106.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/28083467 or 1?\nAnswer: -3\/28083467","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -3*n**2 + 80*n + 170. Give f(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 - 9*k**2 + 3*k + 25. Let n be f(-9). Let u = 79 - n. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8\/(-6)*(-222)\/37. Let o be 24\/42*(-2)\/s. Which is the closest to 0? (a) -4 (b) o (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (18*(-14)\/(-1134))\/(1\/18). Let g = 1 + -1. Solve 4 = -p*r - g for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -4*q + 4. Let t be -1 - 4\/((-6)\/(-3)). Let b be w(t). Let o = 4 + 1. Let c(i) = 7*i + 7. Let f(j) = -22*j - 22. Determine b*c(d) + o*f(d).\nAnswer: 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/13 + (3168\/88 - 10370\/390).\nAnswer: 28\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 167*p + 171*p + 2*p**2 + 4*p**3 - 301*p + 2 to y + h*p**2 + b*p + u*p**3 and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from peeeeqdddqeqeqedqqd. Give prob of sequence deep.\nAnswer: 35\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -365776110 divided by -60962685?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 64451095 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 43*k**2 + 663*k + 2340. Calculate p(-10).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + 40003102?\nAnswer: 40003110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -5*i, -l + 20*i = 18*i - 41. Is l a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-8)\/4)\/(-10))\/((-2)\/5)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(180) + -5).\nAnswer: -20 + 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.01 + 3.01. Let u = 1 + l. Let h = -8 - -13. Which is the biggest value? (a) h (b) u (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-60)\/(-208))\/((-985)\/(-1576))?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*q**5 + q**5 + 0*q**5 + (-2*q**2 - q**2 + q**2)*(2*q**3 + 1 - 1) - 3*q**5 - q**5 + 2*q**5 + (3*q**5 + 2*q**5 - 2*q**5)*(2 + 0 + 0).\nAnswer: q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-1\/3)\/(f\/f**(-1)*f)*(f**0\/f*f)**43 assuming f is positive.\nAnswer: f**(-10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 2*u**3 - 495*u**2 - 728*u + 119028. Give d(248).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -24*r**2. Let g(q) be the third derivative of -1\/30*q**5 + 0*q + 0*q**4 + 1 - q**2 + 0*q**3. What is g(z(k))?\nAnswer: -1152*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -30*(-11)\/264*((-6)\/1515 + 0). Which is the nearest to -1\/4? (a) -4\/9 (b) -0.3 (c) m (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 AM and 6:03 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-1*(-3 + (-3 + sqrt(1728))*4) + -3)**2.\nAnswer: -2304*sqrt(3) + 27793","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 - 1 - 3*(-294)\/63. Solve -m*i = -13 + 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -2*sqrt(1573).\nAnswer: -22*sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 - q - 4. Suppose -4*g = -g. What is n(g)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-11 + 0)\/(2\/(-50)). Suppose -3*l = 2*l - v. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2654630?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/48*-16*(-3)\/31)\/(8\/(-24)).\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27 and 7456887?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 26\/30)*273\/26.\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 + 13*u - 17. Let z be m(11). Suppose -z*p = -i + 4*i - 3685, 2*p - 4*i = 1474. Let j = -496 + p. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47, 33, -37, -193, -465, -883?\nAnswer: -1477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5588100 rounded to the nearest one hundred thousand?\nAnswer: 5600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 143 - 224. Let x = -0.08191 + -80.09809. Let w = x - l. Round w to one decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2359815 divided by 471963.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/9*-6*(-18666)\/(-136)*(-9)\/27\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -357 - -360. Solve -5*l + i - 16 = -0, -4*l - 28 = q*i for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1356 and 20683407?\nAnswer: 339","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -2*l**2 + 17*l - 6. Let v be b(8). Sort -7, v, -3 in increasing order.\nAnswer: -7, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor p**3 - 477*p**2 + 52611*p + 1037153.\nAnswer: (p - 247)**2*(p + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/10 + 208\/40. Let z(j) = 11*j**3 + 23*j**2 + 6*j + 23. Let g(u) = 7*u**3 + 15*u**2 + 4*u + 15. Let v(c) = y*z(c) - 8*g(c). Does 4 divide v(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - l = 41, 4*z - 166 = 4*l - l. Let t = 47 - z. Let s(m) = -4*m + 5. Give s(t).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 118*p + 122*p = 0, 0 = -2*u + 3*p - 23 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.21, 2\/3, 89, 61.\nAnswer: 0.21, 2\/3, 61, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + -2 - (-27 - 0\/4). Suppose 0 = 7*i + q - 110. Is i at least as big as 66\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 353 = 5*u + 7*t, -5*t = 10. Let d = u - -98. What are the prime factors of d?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 6 = -0. Let k = 4 - q. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2586.45 and -0.021.\nAnswer: 54.31545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*h - 2*z + 10, -230*z + 2 = 2*h - 228*z for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 11274*x**3 + 2*x**2 + 16041?\nAnswer: 67644","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is nine sixteenths of a day in minutes?\nAnswer: 810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5999\/45 + 1207\/9. What is the third smallest value in f, -2\/15, -0.4, 0.16, -12\/5?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -6*u**2 - 45*u - 56. Give m(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a micrometer in nanometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2296776 to the power of 1\/3, to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 + 508*p - 201747. Give u(-770).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 9:40 PM?\nAnswer: 5:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 465029 by -1947.\nAnswer: -465029\/1947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -12*d - 66. Let j(n) = -n. Let q(f) = a(f) - 8*j(f). Let g be q(-17). Suppose -2*m - 3*c - 100 = -263, -g*c = -m + 78. Is m a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1\/5 (b) -0.6 (c) -0.4 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of -11\/120*j**6 + 0*j**4 - 17*j**2 + 0*j + 0*j**5 + 3 - 19\/6*j**3. Find the first derivative of r(s) wrt s.\nAnswer: -33*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 * 109\nAnswer: -981","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 807 = -20*k + 947 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l - 3*l**3 - 1 + 64*l**2 - 64*l**2 + (l**2 + 4*l**2 - 4*l**2)*(-l - 5*l + 3*l).\nAnswer: -6*l**3 - 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 561 a factor of 2091408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tqkqqqqtqotqt. What is prob of sequence qokq?\nAnswer: 7\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of p**6\/60 + p**3\/3 + 2*p**2. What are the prime factors of g(2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*a + m + m - 17, 5*m = -a + 8 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:55 AM and 7:31 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1659, 3, 51, 2 in decreasing order.\nAnswer: 51, 3, 2, -1659","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -149 - -237. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12163 (base 12) in base 3?\nAnswer: 1020111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, s: 2, y: 4}. What is prob of sequence ssy?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1324194 - -2?\nAnswer: 1324196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-8)\/20)\/((-1)\/(-5)). Is y\/(2 - (-42)\/(-20)) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(2\/4) - (-39 + 38)*3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 62804776.\nAnswer: 2, 823, 9539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 47903, 47885, 47869, 47855, 47843, 47833?\nAnswer: 47825","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 166 and -554.01.\nAnswer: -91965.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 68 - -44265b?\nAnswer: 442707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + 154014?\nAnswer: 154014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6410?\nAnswer: 2, 5, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10 + 7 + c + 0*c**2 + 2*c**2 + (0*c + c - 3*c)*(2*c + 2*c - 5*c).\nAnswer: 4*c**2 + c - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j**2 - 4*j. Let k(y) = 22*y**2 + 50*y. Let i(t) = 12*g(t) - k(t). Factor i(q).\nAnswer: 2*q*(q - 49)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 3*j**5 - 30*j**4 - 18*j**3 + 204*j**2 - 249*j + 90 = 0.\nAnswer: -3, 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*r - 5*s, r - 2*s - 1 = -0*s. Suppose 2*p - 4 = 0, 0 = -x - 3*p - r - 3. What is the tens digit of (-106)\/(-6) + 20\/x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -311198 + 538435. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52753 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**30*n*n)**34*(n\/(n\/((n\/(n*n**(-1\/19)))\/n)))**(-46) assuming n is positive.\nAnswer: n**(22146\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9)\/sqrt(3)*-1 + 5 + (sqrt(192) + -2*sqrt(192))*-6)**2.\nAnswer: 470*sqrt(3) + 6652","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, 4, 5, -5, -795 in decreasing order.\nAnswer: 5, 4, 0, -1, -5, -795","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 277573*s**2. Let v(c) = -2*c. What is v(u(j))?\nAnswer: -555146*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 8350000*j**2 + 2*j - 8. Let x be v(4). Suppose 3*u + x = 7*u. What is u rounded to the nearest one million?\nAnswer: 33000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2426611 + 21?\nAnswer: -2426560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/32 of a milligram?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25056 divided by 8352.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2217*q**3 + 4476*q**3 + 7290*q**3.\nAnswer: 13983*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Solve j + 44*j - 45 = 0 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 12*j**2 + 251*j - 17. Is 12 a factor of x(-23)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.77 - -0.27. What is the third smallest value in j, -2\/19, -0.3?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + 4. Suppose -35 = -p*n + 61. Is n a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 4*x - 80 = -0*n + 7*n, -1020 = -3*n - 42*x for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 3*q + 7. Suppose -16*l - 66 = -5*l. Give p(l).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -636720 divided by -28.\nAnswer: 22740","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, r: 1, w: 2, h: 1}. Give prob of picking 2 w, 1 h, and 1 l.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*t - 5 + 3 - t + (0*t + 4*t - 2*t)*(-1 - 1 + 3).\nAnswer: t - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 + 12. Suppose -2*y - 2*y - 72 = t, -r*y + 5*t = 14. Let u = 5 - y. What is the highest common divisor of 198 and u?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 123\/10 and 28\/(-35) - (-7177)\/8740?\nAnswer: 8740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -338 = -12*b - 362. Let j(m) = m**3 - 3*m**2 - 4*m - 4. Let l(v) = -3*v**3 + 7*v**2 + 9*v + 9. Let x(t) = 5*j(t) + 2*l(t). Determine x(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -169 = -4*p + 3. Is 18 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -39?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 34310 - 220334?\nAnswer: -131024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kcmc when four letters picked without replacement from kckkqckkckcmkckcckk.\nAnswer: 35\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9540 - -14700. Let k = 5157.7059 - g. Let s = k - -2.3. Round s to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.2 - -5.2. Suppose -3 = -2*k + 1. Suppose -3*o + y + y + 5 = 0, -o - k*y = 1. Which is the nearest to 0? (a) o (b) j (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 86\/8 - 3\/4 and 0\/13 - (1 + -11)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1709 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -36 - -39. Suppose -n*w + k - 335 = 0, -4*k = -4*w - 152 - 292. Let i be w\/(-20)*(-5)\/(-2). What is the highest common factor of i and 126?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-79*l - 34*l - 98*l - 110*l)*(5*l + 8*l - 5*l).\nAnswer: -2568*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.1 + -11. Let x = u - 0.1. Which is smaller: -1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 4*s**3 - 17*s**2 - 3*s - 69. Give z(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 27430320 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -2*m + 2*r, 0 = 5*m + 4*r - 3. Determine t so that -m*t**3 + 4*t**2 - 5*t + 10*t**3 + t + 2*t**4 = 0.\nAnswer: -2, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1332707, 1332733, 1332773, 1332827, 1332895?\nAnswer: 1332977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 108*h - 95. Let b be g(1). Solve -14*c + b*c + 2 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(1053))*3.\nAnswer: 9 + 27*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 26\/(-3) - 2\/(-3). Let p(u) = u**2 + 5*u - 4. Is 15 a factor of p(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -18*k + 3 - 3 + 36*k - 16*k. Give l(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (3 - 95\/15)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16685795293\/2730 + 6112013. Calculate the common denominator of r and -7\/4290.\nAnswer: 30030","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 + (-18 + 12)\/(-2*1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6195 - 76*n - 3*n**3 + 30*n**3 + 6195 to the form t*n**2 + q + z*n + f*n**3 and give z.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 7133700 to the nearest one hundred thousand.\nAnswer: 7100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -5, -121 in ascending order.\nAnswer: -121, -5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -110353.7 rounded to the nearest 1000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of 7*w**4\/12 + 2*w**2 + 5*w. Let y(g) = -13*g**2 - 7. What is -7*u(d) - 4*y(d)?\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -83 + 4 - -91 - (45 - -1).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -3*w - 168. Let m be w\/(-10) + (-2)\/(-5). What is the highest common divisor of m and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14060 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 539629210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) -5 (b) -3\/4 (c) 2 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 5. Let i = n - -2. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.09*4.07.\nAnswer: 12.5763","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - -7064667?\nAnswer: 7064673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s + 3. Suppose -3*n + 9 = -0*n. Let t = -7 + n. Give c(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*b + 34 - 19 - 15.\nAnswer: -23*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1503 + 1503. Which is bigger: r or -2\/47415?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -26*h + 114. Let i be n(4). Let s(k) be the second derivative of -k**4\/12 + 3*k**3\/2 - 3*k**2\/2 + 34*k. Give s(i).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-44)\/(-12)*11*(47 - 35)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 7*y**2 - y. Let p(u) = 2*u**3 + 63*u**2 - 187*u + 9. What is the remainder when p(3) is divided by l(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7001 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13 + 20. Let v = 98435 + -98425. Solve k*a - 3 = v*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*o - 260200 = -70*o. Is o a multiple of 114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1127.19 - -15.81. Let p = b + -1123.76. What is p rounded to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3b10 - 8025?\nAnswer: -bb35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2306*w**3 - 139*w.\nAnswer: -13836*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -ba (base 16) to base 12\nAnswer: -136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/(a*(a*a**(5\/3)\/a)\/a*a)*a*a*a**(2\/65)*a*a assuming a is positive.\nAnswer: a**(461\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 21*t + 38 = 0. Let y(a) = -3*a**3 - 2*a**2 - 2*a + 2. What is y(t)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 25 - 26. Let j be (-4 - -8)\/2 - a. What is the derivative of 7 + 14*d**j + 3 - 14 + 7 wrt d?\nAnswer: 42*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002012761 to seven decimal places.\nAnswer: 0.0000201","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28 - 7 - 2)*(-733 + 38*h + 733).\nAnswer: 722*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qrdgqbbppgrrbbp. What is prob of picking 1 g, 1 r, and 2 q?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 12 - -55008?\nAnswer: 55021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*s**2 - s**2 - 2*s**2)*(-5*s + 5*s - 5*s**2 + s) as n*s + t + f*s**2 + m*s**3 + g*s**4 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 6 = 2*x, 14 = 3*o - 2*x. Suppose -o*g = -g - 55. Suppose 2*d + 27 = g*d. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 772*p*s*y**2 + 110*p*y**2 + 5*p wrt s?\nAnswer: 772*p*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78690*z - 41*z**2 + 41*z**2 + 15*z**3 + 78690*z.\nAnswer: 15*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*r**5 + 30445*r**4 + r**2 - 97190*r wrt r?\nAnswer: -40*r**3 + 365340*r**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + f)*(19 - 9 - 33).\nAnswer: -23*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*y**2 + 1740 - 2*y**2 - 1740 - 45*y**4 - 2*y**3 to u*y**2 + p*y + k*y**4 + b*y**3 + s and give k.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes after 10:27 AM?\nAnswer: 6:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 560047 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -2*l - 14. Find the common denominator of ((-34)\/(-5))\/(3\/(-15)) and ((-2)\/4)\/((-152)\/(-32) - l).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 7133, 13586, 20039, 26492?\n\"Answer: 6453*v + 680","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 3*z + 756 - 655 = 0, -2*m + 116 = -4*z for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 12, 101, -2, -3\/8?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 1 (c) 0 (d) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 + h**2 - 2*h - 4 - 3*h**2 + 20*h**3 - 19*h**3 as y + g*h**2 + q*h + x*h**3 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -673, -805, -939, -1075, -1213, -1353?\n\"Answer: -j**2 - 129*j - 543","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 2 l when four letters picked without replacement from ymveyygeeeleyy?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of o*u*v**3 - o*u*v**2 - 2*o*u - 12672*o*v**3 - 311198*o - 3*u*v**3 + 24*u + 151*v**3 wrt v.\nAnswer: 6*o*u - 76032*o - 18*u + 906","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -297701 + 297702.35397. Let k = -1.259 + 2.622. Let z = b - k. Round z to three dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 49539, 49545, 49551, 49557, 49563, 49569?\n\"Answer: 6*h + 49533","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26 + 31. Sort 1, s, -0.5 in decreasing order.\nAnswer: s, 1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -196*q + 2989. Give d(15).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 4*x**3 + 5*x**3 + 2)*(-2 + 0 + 3).\nAnswer: x**3 + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5817027 + -1543027. What is l rounded to the nearest ten thousand?\nAnswer: 4270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -721 (base 14) in base 12?\nAnswer: -989","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 645*h + 126 = 659*h for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 + 6*l**2 + l + 8. Let c be 18\/(-21)*(11 - 4). Let w be b(c). Solve 5 = w*y + 3*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24 - 0 - (-25 + 30)) + -5?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/2 + 825*m - 1651\/2.\nAnswer: (m - 1)*(m + 1651)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1834958?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5804 + -5806)\/(3*68\/30).\nAnswer: -5\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7 - -281?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mkcm when four letters picked without replacement from fsjkmkffkffck.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*g**2 - 5*g**4 + g + 2*g**4 + 8 - g**3 + 10*g**4 + g**4 as v + y*g + r*g**2 + b*g**3 + w*g**4 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.9486 - 1.5486. What is the third biggest value in -3\/4, 1\/4, m?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, -4, -46, 55607, -2\/11?\nAnswer: 55607","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00408 to three decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**4\/3 - 16*g**3 + 46*g**2 - 136*g\/3 + 15.\nAnswer: (g - 45)*(g - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) - sqrt(117)*-3*-6 - sqrt(117) - -5*(sqrt(117) + sqrt(117)*4 + sqrt(117)))\/((sqrt(900) - sqrt(9))*4 + sqrt(9) + (-6*sqrt(9)*-3 - sqrt(9))).\nAnswer: 2*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 15624795?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -513434905*y**3 - 10511240*y + 3.\nAnswer: -3080609430*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -6*q + 1. Let a be k(-2). Suppose -5 = 4*w - a. Suppose w*g + 0 = -6. Is -3 != g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 711*k - 4 = 713*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:06 AM and 10:10 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 5, c: 13}. What is prob of sequence qqcc?\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/(-55) + -2 + (-12)\/10?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.053*29.233.\nAnswer: -1.549349","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-22)\/55)\/((-16)\/30) - (9 + (-9780)\/720)\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n + n - 3*n + 2*n**2)*(2 - 5 + 1)*(2*n - 6*n + 3*n).\nAnswer: 4*n**3 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2527\/564 + 232\/47. What is the common denominator of z and -77\/274?\nAnswer: 1644","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -41. Suppose 14 = 3*r - u. Suppose 0*s = -3*s + r. Is 3 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 103 - 89. Is 7602 - j\/(3 + -5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -26688 at most -26687?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.7 and 8.5?\nAnswer: -5.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3746.252cm?\nAnswer: 37462520000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-5)\/(w**7\/w)*w**(-2\/3)\/w*((w*w\/(w\/(w*(w*w**(3\/2))\/w))*w*w)\/w)\/w assuming w is positive.\nAnswer: w**(-55\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence id when two letters picked without replacement from {i: 3, d: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = -5*k + 29. Put k, 87, -2 in decreasing order.\nAnswer: 87, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 317.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 - d - 3)*(-d**3 - d**3 + 4*d**3) + 4 - 2*d**4 - 4 + (0*d - 2*d + 4*d)*(2*d**3 - 3*d**3 - d**3) to y + g*d**3 + r*d**4 + k*d**2 + a*d and give r.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.558 plus -4?\nAnswer: -2.442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 120\/(-6)*14\/(-35).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*1*sqrt(9))\/(sqrt(21)\/(sqrt(7) - (sqrt(7) + -2*sqrt(7))) + sqrt(3))*-4.\nAnswer: 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 148*b - 153*b + 2005. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 30 - 234 = 0. Let x be -1 + r + -3 + 4. Let c = x - 50. Calculate the remainder when 125 is divided by c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 152 and 12.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -13800000 to the nearest one million.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 11:07 PM?\nAnswer: 7:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 27? (a) -0.3 (b) -3 (c) -141511\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.058 (b) -698 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 258, 249, 240, 231?\n\"Answer: -9*o + 267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1514 + 1518. Solve p*f - 20 = 6*f - 4*r, 0 = 2*r - 6 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 138 and 724899878?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 + 4*f. Let b(v) = 3*v**2 + 11*v. Let x(c) = 4*b(c) - 11*y(c). Let i(p) = -7027 + 0*p + 2*p - 2*p**2 + 7027. Determine i(x(z)).\nAnswer: -2*z**4 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the third derivative of -u**6\/40 - u**5\/20 + u**4\/6 - 2*u**3\/3 + 3*u**2 - 76*u. Let b(g) = -9*g**3 - 8*g**2 + 11*g - 11. What is -4*b(k) + 11*l(k)?\nAnswer: 3*k**3 - k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((4*sqrt(216))\/sqrt(8))\/(sqrt(1089) - sqrt(1089)*3) + 0.\nAnswer: 10*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2.8 or -2?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by -30.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 4*k**2. Let o be r(-1). Suppose 12 = -0*a + o*a. Suppose -6*p + 75 = -a*p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1217237056 - 1?\nAnswer: -1217237057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1045, 186.\nAnswer: -3, 186, 1045","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -15, -4, -1, 3, 49, 5016.\nAnswer: -15, -4, -1, 3, 5, 49, 5016","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 8717991263 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**3 + 1681048*s**2 - 353241978330*s + 706477232484.\nAnswer: -2*(s - 420261)**2*(s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a millimeter in micrometers?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(3*(-4)\/8). Suppose x + 4*c = b*c - 3, -5*c - 18 = x. Suppose x*u - 136 - 284 = 0. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8.44948 to 2 dps.\nAnswer: 8.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -33, -66, -133, -246, -417, -658, -981, -1398?\n\"Answer: -2*r**3 - 5*r**2 - 4*r - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 37.4 and 0.72942.\nAnswer: 27.280308","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -78*y**3 + 11*y**2 + 32*y + 5. Let s(f) = -40*f**3 + 6*f**2 + 16*f + 3. Let l(k) = -5*s(k) + 3*t(k). Find the third derivative of l(d) wrt d.\nAnswer: -204","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 55*64\/(-2816)*4\/(-65).\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126286?\nAnswer: 2, 233, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -23692 divided by 11846?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144338?\nAnswer: 2, 72169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (2*sqrt(171)*-5)\/(3*sqrt(45)\/sqrt(5))*1 + 3.\nAnswer: -10*sqrt(19)\/3 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40\/180*3*-12.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2763, -3697, -5253, -7431, -10231, -13653?\n\"Answer: -311*l**2 - l - 2451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -25*r**2 - 3*r + 337. Let i(p) = -25*p**2 - p + 338. Let t(v) = -3*i(v) + 2*q(v). Find the first derivative of t(g) wrt g.\nAnswer: 50*g - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1 and -7\/9320 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/9 + (-3 - (-9 - -6)). Let y = -169\/3 + 57. Factor -s*q + y*q**3 - 4\/3 + 4\/3*q**2.\nAnswer: 2*(q - 1)*(q + 1)*(q + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, u: 3, r: 5, f: 7, x: 1}. What is prob of sequence uef?\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the third derivative of v**6\/40 - 2*v**5\/15 + 7*v**4\/24 - 7*v**3\/6 + 4*v**2. Is a(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 5 - 1)*(2508*q + 2497*q + 84*q**2 - 5011*q) to the form b + w*q + g*q**2 and give w.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 139 - 2499 = 10*c. Let m = c - -240. Solve -t - 11 = 3*r, t + 2 + m = -2*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*g + 2*g**2 + 32*g + 5*g**2 + 11*g**2.\nAnswer: 18*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 6*y = 2*y + 34, -4*r - y = -151. Let h = 4 + -1. Suppose -h*t = 4*n - r - 446, 0 = 3*n - t - 350. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1955 <= 1963?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a = g + 20, 52*g + 3*a = 57*g + 16 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b5230 (base 12) to base 16\nAnswer: 39e04","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3961?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 7410, 14778, 22146, 29514, 36882?\n\"Answer: 7368*m + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 924.5916 millilitres in litres?\nAnswer: 0.9245916","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 55*m**2 - 43330*m + 1984215.\nAnswer: 5*(m - 739)*(11*m - 537)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*h + 12. Let m(c) = 8*c - 21. Let y be m(h). Let x = -8 + y. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4234324 (base 5) in base 13?\nAnswer: 26550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8700?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the second derivative of 5*b**4 + 0*b**2 + 0*b**5 + 0*b**3 + 0 - 37*b + 227\/30*b**6. What is the third derivative of f(w) wrt w?\nAnswer: 5448*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1656 = -8*j + 352. What is the remainder when j is divided by 43?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (10\/20)\/(3\/(-12)). Sort -1, 1, -5, q in descending order.\nAnswer: 1, -1, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -1030*s**2 + 20*s - 473. Let u(k) = -2056*k**2 + 45*k - 946. Let h(r) = -9*g(r) + 4*u(r). What is the first derivative of h(x) wrt x?\nAnswer: 2092*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of 341*h**5\/30 + 9*h**4\/8 - h**3\/6 - 66*h**2. What is the second derivative of i(k) wrt k?\nAnswer: 1364","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 664 + -654. Calculate the remainder when 49 is divided by v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16590 divided by 5530\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - (-10 - -24)) + 4 + -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -15a2 - -34027?\nAnswer: 32975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1163.\nAnswer: 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6)\/(-5 - -2)*2. Suppose -2*v = -z*v. Factor 0*l**2 + 3*l + v*l**2 + 3*l**2.\nAnswer: 3*l*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 14784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 464 and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1904 and -3109.533?\nAnswer: 5013.533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**7\/(n\/(n\/(n\/n**(-2\/11)*n)))*(n**(-2))**(23\/5))\/((n*n*n**(1\/3)*n)**(-45)*(n**(1\/3))**(-7\/12)) assuming n is positive.\nAnswer: n**(288709\/1980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -206*i + 52 = -193*i. Let s(z) = 47*z**2 + 3*z. Let v be s(-2). Suppose 0*y + y = -i*n + 91, 2*n - v = -2*y. List the prime factors of y.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30376844 and 424.\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**2 + 911272*h - 51901041124.\nAnswer: -4*(h - 113909)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11997*i + 12661*i + 1992 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -15 + 8 + 0*z**2 + z + z**2. Let s be y(3). Suppose 3*m - 4*r - 36 = 36, s*r = -15. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-9)\/(-30))\/(12\/10). Let y = -2 - 0. What is the smallest value in -2\/7, y, g?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25 + (43 - 23) + 22\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + 5 - (11 + -7). Suppose g = 4*p - 6*p - 2. Let d(m) = 7*m**2 + 1. Determine d(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-76)\/19 + (-2)\/2. Let b = 6 - 8. Suppose 5*a - 2*t + 13 - 2 = 0, -3*a - 1 = -4*t. What is the third smallest value in b, i, a?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -21485?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 11*q - 6. Let h(w) = 31*w - 17. Let r(y) = -6*h(y) + 17*t(y). Let u(p) = 17*p**2 - 3. Determine u(r(z)).\nAnswer: 17*z**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.07, -5, -3\/34709, -0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8745475 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -160 - -158. Sort 5, -5, -1, r in increasing order.\nAnswer: -5, r, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1055 (base 10) in base 15?\nAnswer: 4a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19146483 divided by -60399.\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45)\/(41760\/(-44254)) + -48.\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-132)\/726 - ((-16)\/(-24) - (-2424302)\/(-66)) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2354604752 to the nearest integer?\nAnswer: 1330","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -45 + 45. Suppose 19*n - 218 - 143 = c. Solve g + 2*g - n = y, 4*g - 16 = -y for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 153800 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-104*k + 32*k + 18*k)*((-1 + 1 + 2)*(k + 3*k - 5*k) + (4 + 0 - 3)*(-4*k - 9 + 9)) in the form l + p*k**2 + f*k and give p.\nAnswer: 324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8102240 and 88796.\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 12) to base 3.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 104933 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 - (-9)\/(-3)) + 4. Suppose 0*f - 4*f = -4*o - 116, -t*f - 3*o = -116. Is 11 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/282 and 28\/64625.\nAnswer: 387750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 15 - 8 - (4 - -4 - 5)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from innnniinnnnn. What is prob of picking 4 n?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3769.147 + 8.\nAnswer: -3761.147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -12) + 1 + -4 - 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 10, b: 4}. Give prob of picking 1 h and 1 b.\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c = 3*a + 38, -5*a + 4*c + 24 = 49 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4473172 by -1.\nAnswer: 4473172","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**2\/11 + 3360*j\/11 + 3358\/11 = 0. Calculate j.\nAnswer: -1679, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1643 by 144.\nAnswer: 1643\/144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -489 + 490. Let r = -374 - -374. What is the closest to m in 4, 5, r, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 25*d. Let s be l(-1). Let a = -387 + 417. Let j = s + a. Solve 5*y - 4*n = y - 28, j*y - 2*n + 29 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 12 + (16 - (25 + -18) - (-14 - 2))\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 221*v**3 - 837?\nAnswer: 663*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 212*c**3 + 304*c**3 + 15*c - 15*c.\nAnswer: 516*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -2*d**3 - 12990*d**2 + 273596*d - 495216 = 0.\nAnswer: -6516, 2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + 1. Suppose 4*m = -3*o - x, 6*m - 5*o - 5 = m. Let p be (18\/(-27))\/((-4)\/18). Solve m = 2*n - 6, 2*n - 14 = c + p*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 103*r + 529. Give n(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -22\/47 and -97\/10.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 142.4 + -142. Let j be ((-2)\/2)\/(182\/28). What is the second smallest value in 0.1, j, s?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 7458.\nAnswer: 22374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/2*(5 - -5). Suppose -w + b*j + 19 - 2 = 0, -2*j - 6 = 0. Suppose 4*x = 5*s - 18, -5*s + 2*x + 16 = w. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -2*y - 41. Let c be v(-10). Is (2 + 860)\/((-6)\/c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from jjuuipwjjjjpjjpywuj.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3979*v - 1631*v - 3 + 1253*v + 3 to s + h*v and give h.\nAnswer: -4357","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + (11 - (-8 + (-3 - -11))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l - 8. Let v be (-8)\/(1\/(-2) + (-2)\/4). What is d(v)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -442 (base 5) in base 10?\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 16*v + 67. Let b(h) = -25*h - 101. Let g(r) = -5*b(r) - 8*w(r). What is the least common multiple of 154 and g(-15)?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -36\/11? (a) -67 (b) -1\/3 (c) -17\/76\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**4\/t*t*t)\/(t\/(((t\/t**(3\/7)*t)\/t)\/t)))\/(t**1\/t)**(-35) assuming t is positive.\nAnswer: t**(25\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(24\/(-14))*(-16)\/8?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1315883 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 97576043*s**3 + 2*s**2 + s + 31832546 wrt s?\nAnswer: 585456258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.06 rounded to 0 decimal places?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 - -9. Sort -4, 5, m.\nAnswer: -4, m, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - 0) + 2 - (-43 + 62)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1143 - -10285\/9. What is the third biggest value in 2\/11, r, 2\/19, 0.5?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = 5*s - 6*s + 4*s for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - 4*g - 841, -187*k - 672 = -191*k + 3*g. Calculate the greatest common divisor of 99 and k.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a gram in milligrams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of 869*n**7\/210 + 9*n**3 - 827*n**2. What is the derivative of g(k) wrt k?\nAnswer: 3476*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 7:49 AM?\nAnswer: 5:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 474800820?\nAnswer: 2, 3, 5, 13, 17, 61, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2508231 to the nearest integer?\nAnswer: 1584","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 + 14*h + 17. Let j = 128 + -113. Let p be n(j). Factor -4\/3*z + 7\/6*z**p - 1\/6*z**3 - 8\/3.\nAnswer: -(z - 4)**2*(z + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13513350 and 18000.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (-10 + 36) - -7.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*s - 4*s - 4*s)*((0*s + 0*s + 2*s)*(4 - 2 + 0) + 7*s - 2*s - 3*s).\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -987, -374, 2113, 7674, 17509, 32818, 54801, 84658?\nAnswer: 123589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16412296.539047 - -16410846.63. Let w = f + 1449.9. What is w rounded to three dps?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*v + v - v)*(-2*v + 0 + 0) + 3*v**2 - 2*v + 2*v + 11*v**2 - 21*v**2 - 18*v**2 as y + s*v + z*v**2 and give z.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -37 - (7 - (1 + 0 + -2) - (-340 + 345)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + -5. Let z(w) = -9*w + 2. Let d(b) = -b - 5*b - 3 + 9*b + 4*b + 6*b. Give u*d(q) - 7*z(q).\nAnswer: -2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-262 + 250 - (-30 - 0)) + -64.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 105149.1 nanoseconds to minutes.\nAnswer: 0.000001752485","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of x**3\/3 - 6*x**2 + 2727. Give r(10).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/9*q**4 + 0*q + 0 - 2\/3*q**3 + 1\/9*q**5 + 0*q**2.\nAnswer: q**3*(q - 3)*(q + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/14)\/(-1) + 1122\/154. Suppose 0 = -3*q + 4*s + 35, -4*q - q + 5*s = -50. Solve i + q = x for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.27 (b) 288 (c) -35 (d) -5 (e) 0.9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 156760 and 154920 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 26\/5 of a micrometer?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 130 = t - 120, -2*t = -2*m + 4 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -73 - -131. What is the second derivative of 82 - 57 + 3*w - 3*w**5 + 47*w**2 - p wrt w?\nAnswer: -60*w**3 + 94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 1045565246?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 + (1880\/92)\/5. What is the nearest to l in 1, -3, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-11)\/(66\/(-20)))\/((-2)\/3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6931 (base 14) to base 16.\nAnswer: 475f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 50*k**5 + 15*k**4 + 167*k**2 + 39*k + 3398.\nAnswer: 1000*k**3 + 180*k**2 + 334","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-50)\/15*6\/(-5). Let h be (-2 - (-6)\/z)*-12. List the prime factors of 3\/h - 7\/(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of y**3\/3 + 5*y**2\/2 + y + 1. What is l(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53731 is divided by 113?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37, 123, 207, 289, 369, 447, 523?\nAnswer: 597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 - -20. List the prime factors of (55\/22)\/(1\/u).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of -d**6\/120 + 7*d**5\/30 - 5*d**4\/8 + 4*d**3\/3 - 35*d**2. Determine l(13).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 1.99999984. What is o rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-43)\/(-817)*(1127\/69 - 17)?\nAnswer: -2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1423 - 1422.5. Let t = 0.2 - 0. Which is the smallest value? (a) 5 (b) t (c) -4 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14698?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -37 and 1799986.\nAnswer: -66599482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 7621 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.4 - -4.4. Let m = 0.7 - -0.3. Let c = 0 + m. What is the nearest to n in -1, c, 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g - 3. Let y be a(11). Suppose 3*r + r = 64. What is the highest common factor of r and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1182059 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3521, -3524, -3527?\n\"Answer: -3*s - 3518","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -30 + 28 - (-53 + 6 + -3).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -243 - -58?\nAnswer: -196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide ((-63)\/(-2))\/(-3)*(-658)\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -36.31\nAnswer: 72.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 767*d**6 + d**2 - 300 wrt d.\nAnswer: 92040*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1065178*n**3 + 92*n**2 + 5232882*n + 19 wrt n.\nAnswer: -6391068*n + 184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -32*l**3 - 178852*l**2 - 22356*l.\nAnswer: -4*l*(l + 5589)*(8*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1146\/11 + 73\/22. Let v = 108 - h. Let z be 3\/(-2)*(460\/(-75) + 6). Which is the second smallest value? (a) 5 (b) z (c) -2 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 82 - 62 = 5*z, 11 = 5*z + 4*y. Let i(l) = 5*l + 2. Let f be i(2). Factor -z*p**2 - f + 9*p - 8*p - 13*p.\nAnswer: -3*(p + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 1 + 3)*(624*o**5 + 312*o**5 - 2665*o**5).\nAnswer: 6916*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -1663*r - 44962. Calculate g(-27).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 181942925 divided by -33575\nAnswer: -5419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 6*a + 87. Let n = -13 - 1. Let i be z(n). Solve -2*d + i*d = 1 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*h + 865 = s + 22*h, 4*s - h - 3488 = 0. Is 2 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/6)\/((-1)\/3). Suppose -a = 5*g - 16. Calculate the highest common divisor of g and 30.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/3192 and 109\/58254?\nAnswer: 233016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1477329719 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 2*t - 14, -3*t + 3 = i + 2. Let a(d) = 48*d. Let m be a(-1). Let r be 1 + m\/(2 + -4). Calculate the highest common divisor of i and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 226 is divided by 57.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-3)*15\/5. What is the second derivative of 36 + 12*m + x*m**2 - 36 wrt m?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) 0.1 (b) -1\/34 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 62555.3 rounded to the nearest one hundred?\nAnswer: 62600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*r + r - 4*r)*(98 - 100 + 74) + (0*r + 4*r - 3*r)*(-1 + 6 - 3) in the form j + b*r and give b.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/30)\/(274\/7672).\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 247 and 178466639.\nAnswer: 247","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 55 = 3*z. Let a be (-1 - (-9)\/z) + 0. Let c = 86.8 + -87. What is the third biggest value in a, c, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the third derivative of 2*f**4 + 0*f - 6*f**2 - 17\/2*f**3 + 1\/20*f**5 + 1. Factor s(n).\nAnswer: 3*(n - 1)*(n + 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 4*t**3\/7 - 167779*t**2\/7 + 11348599*t\/7 + 2847636\/7 = 0.\nAnswer: -1\/4, 68, 41877","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 100 = 11*p. Let x(m) = m**2 + 7*m + 21. Let u be x(p). Suppose -u = -4*g + 3*g. Calculate the remainder when g is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/6, -3, 1\/9, 0.0719?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10551 - 7016. What is g rounded to the nearest one hundred?\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1482\/5, 5, -2.15, -2, 0.5?\nAnswer: -2.15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 106.7 - -0.3. Let f = 106 - v. Which is the closest to 1? (a) 0 (b) 0.5 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1895 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 144 divide 5536936?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -2*v**2 - 3*v - 3. What is r(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/5)*l\/(l**6\/l))\/(l**(3\/4)*l**4) assuming l is positive.\nAnswer: l**(-183\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/19 - (117 + -103)*1378\/247?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 161 and 273518.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8113 - -8128. Solve -p + 9 = t, 0 = 13*p - m*p - 5*t + 33 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + -0.1. Suppose -5*i = -259 + 244. Let z = 306\/5 + -62. What is the closest to g in i, z, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 78 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 65, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + -5 + ((-8 - -2) + 2 - -10)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.15408 (b) 1\/4 (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -3*l + 143. Let q = -22 + l. Let z = q + -161\/5. What is the closest to 1 in 3\/5, 2\/3, z?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 87 - 54. Suppose -o + 29 - 12 - 14 = 0. Calculate the smallest common multiple of q and o.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 3*n + 40 = -3*p, 0 = -20*p + 15*p + 5*n for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 + 5*n + 8. Let m be g(-3). Suppose -2*b = -5*i + 7471, 770 + 2224 = 2*i + m*b. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 6 = 2*a, -3*a = m + m + 17 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000040877 rounded to seven decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 2*j - 86, -4*a = -4*j + j - 73. Suppose 4*z = 8*z - 24. Suppose 3*p + 2*p - 16 = -3*f, 12 = 3*p + f. Solve -a = -p*k - z for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/4, -2, -2.9, 4\/7, 3\/4?\nAnswer: -2.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5132 is divided by 53.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m = -7*m + 3. Suppose -m*a - 88 = -7*a. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 41 + -8. Is 11 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2736 - -2736. Let f(d) = -d**3 + 3*d**2 + 4*d. Let z be f(4). Let p = 3 - 3.2. What is the nearest to u in p, z, 3\/4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 19817?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-22) + (87\/(-66))\/((-207)\/46). Let i = -3.9 - -7.9. Put -2, w, i, 30 in ascending order.\nAnswer: -2, w, i, 30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6477\/2*(-6)\/(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01092 take away 0.15?\nAnswer: -0.16092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = 3 - 6. Suppose -4*j - j = -55. Let x = 21 - j. Solve 5 = -o*q - x for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**5 - s**4 + s**2 + s. Let x(w) = -17*w**5 - 6*w**4 - 6*w**2 + 6*w. Let k(d) = 6*c(d) - x(d). Find the third derivative of k(p) wrt p.\nAnswer: 1380*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + 29 + (-20 - -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 37\/5 of a millennium?\nAnswer: 88800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -328*b**2 + b**3 + 328*b**2 - 12 + (0*b**2 + 2*b**2 + 2*b**2)*(0*b + 2*b - 5*b) - 2*b**3 - 1 + 1 + (b**3 - 3*b**3 + 0*b**3)*(3 - 3 - 2).\nAnswer: -9*b**3 - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5143 and 8399.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2*m**3 - 26*m**2 + 13*m - 13. Calculate s(-13).\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 8658401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1459 + 3084?\nAnswer: 4521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is 170 divided by -3?\nAnswer: -170\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 3*l**2 - 64*l - 160. Calculate n(22).\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5799 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 87*b**2 + 15*b + 59. Is c(-13) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4 + -1 - (-5 - 78\/(-8)). Suppose -3*j = 5*k - 5*j - 19, -13 = -2*k - j. Put x, 1, k in ascending order.\nAnswer: x, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120548*s + 26220 = -120985*s for s.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence svvs when four letters picked without replacement from {s: 5, v: 15}?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.4569 - 0.1134. Round o to two dps.\nAnswer: 1.34","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes before 6:34 AM?\nAnswer: 1:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/((20\/8995)\/4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 858474382 to the power of 1\/7, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -21\/4, 0.3, 0.52?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 13*f = -18*f + 21, 2*f - 18 = -4*j. Solve 0 = -j*a - 3*a - 24 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11 + -10?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6432237 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 785, 780, 763, 728, 669?\n\"Answer: -d**3 + 2*d + 784","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1.8*-0.03648306\nAnswer: 0.065669508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x**5 + 3*x**4 - 3*x**4)*(25 + 28 + 8 + 30).\nAnswer: -364*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 457435 is divided by 29?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.908969nm?\nAnswer: 0.0000000908969","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1869*r**3 + 653*r**3 - 1170*r - 2518*r**3 + 1170*r.\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 54 = y - 4*j, j - 34 = -2*y. Suppose -26*m + y*m = 14. What is the tens digit of (m + -38)\/(-1*12\/18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000007564863 rounded to 7 decimal places?\nAnswer: 0.0000076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 5*f - 9. What is the smallest common multiple of 10 and 6\/9*f*(-132)\/(-8)?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 501 divide 199471861?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - -9. Suppose i - 1 - 4 = o. Calculate the remainder when -1 + -19*(1 - 2) is divided by i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 1:02 PM?\nAnswer: 8:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-36)*2*4\/(-1)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-10\/9)*k**(-1\/15))**34 assuming k is positive.\nAnswer: k**(-1802\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1392 greater than 1370?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 0 - -4 - (106 + -101)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40446269?\nAnswer: 19, 2128751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 14*i. Let g(v) = -10*v + 6. Let q(z) = -30*z + 20. Let k(p) = -10*g(p) + 3*q(p). Give y(k(c)).\nAnswer: 140*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7.9 + -7. Let n = d + -0.4. Let b = 7\/18 - 8\/9. What is the biggest value in n, -1, b?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1373 is divided by 27.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do -2851809\/128 and -22280 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 1:24 PM?\nAnswer: 3:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 b when two letters picked without replacement from gvvgbavavq?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 72*o**3 + 2*o**2 - 14*o. Let d(r) = -r**3 + r. Let g(a) = 3*d(a) + f(a). What is the second derivative of g(u) wrt u?\nAnswer: 414*u + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 78.79649 millimeters to kilometers.\nAnswer: 0.00007879649","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 + 3?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(153) + sqrt(153)*-2))\/(sqrt(252)\/sqrt(7)) - (2*sqrt(204)*4)\/(sqrt(144)\/(sqrt(12)*-2)).\nAnswer: 19*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -75837 - -156352. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -160*o**5 - 55*o**4 + 2*o**3 + 1342*o**2 + 2*o?\nAnswer: -9600*o**2 - 1320*o + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 e when three letters picked without replacement from {v: 7, d: 2, i: 2, e: 1}?\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -268*v + 170*v + 980 = 0. Suppose 8 = 4*d - 0*d. What is the second derivative of -v - 38*y**2 + 11*y**d + 2*y + 10*y**2 wrt y?\nAnswer: -34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -18408*h + 110549. Give d(6).\nAnswer: 101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 5 + 2*y)*(633 - 42*y - 633) in the form x*y**2 + b + r*y and give x.\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + (-4 - -2 - -2). Let j be (6\/(-4))\/(5\/(-2)). Let x = -0.9 + 4.9. Which is the nearest to q? (a) -2\/3 (b) x (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-408)\/(-160) - 8\/10. Which is greater: a or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2. Let t(h) = -20*h**2 - 10*h**2 + 35*h**2. Determine t(w(o)).\nAnswer: 5*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -771107*y**3 - 82675*y**2.\nAnswer: -4626642","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - -5)\/(0\/3 - 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 237634 by -192.\nAnswer: -118817\/96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 42104?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48)\/(-10)*(3030\/(-11312))\/((-1)\/2).\nAnswer: 18\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*n = 4*n - h + 22, -n = -2*h - 11. Let j = 2.806 + 12.084. Let s = j + 5.11. Put n, s, 0.2, -3 in ascending order.\nAnswer: -3, 0.2, n, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 503094?\nAnswer: 2, 3, 191, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-21)\/9 + 2\/(-3). Let u(z) = 147*z**2 - 300*z**2 - 10*z + 152*z**2 - 3 + 2*z. Let a be u(v). Calculate the greatest common divisor of a and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 891165338?\nAnswer: 2, 7, 5849, 10883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 - 5*s + 5. Let x be d(-6). Let g be (6\/(-18))\/(7 + (-119)\/21). Which is the nearest to g? (a) x (b) -0.3 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 1*(sqrt(196)\/(sqrt(63)\/sqrt(9)))\/(sqrt(400) + sqrt(400) + (sqrt(400) - (sqrt(400)*-3 + sqrt(400)))).\nAnswer: sqrt(7)\/50 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rtt when three letters picked without replacement from tttttrtttttrtr?\nAnswer: 55\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - (sqrt(7) + sqrt(7) + 4*sqrt(7) + 3))**2 + sqrt(343)*3 + 3 + sqrt(21)\/(sqrt(15)\/sqrt(5)*6).\nAnswer: 307*sqrt(7)\/6 + 187","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2856 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/49 and -10\/63.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 232.\nAnswer: 3\/232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + 2*t = 423, 29*j + 4*t = 25*j + 336. Is 17 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24*7.\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f**5 - 4636*f**4 + 6968*f**3 - 2324*f**2 = 0. What is f?\nAnswer: -581, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 803579\/414 + -11645\/6. What is the common denominator of m and -31?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 4552.7326\nAnswer: -9105.4652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2*a**2 + 45*a - 19. Let u be s(22). Suppose -4*v + 1084 = -0*v - u*d, -4*d = v - 252. Does 11 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + h - 4 = 0. Let d(l) = 0 + 0*l - 4 - 3 + 2*l. Let c be d(4). Which is smaller: c or h?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 778 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(345\/14 - (151 - 127)))\/(2\/(-144)).\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 37? (a) -2\/85 (b) 3 (c) -2.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.01 at least -0.3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 188036 is divided by 269.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-12))**(-4\/7) assuming y is positive.\nAnswer: y**(48\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l - 2. Let k(m) = 4*m. Let h(t) = -44*t - 4. Let x(g) = 2*h(g) + 28*k(g). Let r(u) = 12*o(u) - 3*x(u). Let j(b) = -2*b. Calculate r(j(c)).\nAnswer: 168*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1632415094 and -0.42.\nAnswer: -0.2567584906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - q = -9. Suppose 5*y - 2 - q = 0. Which is greater: 2\/3 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 311 is divided by 48.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1529 is divided by 195?\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.087773 litres in millilitres?\nAnswer: 2087.773","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2387)\/62)\/((-1782)\/648).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -261591777 minus 0.10483?\nAnswer: -261591777.10483","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 4*f - 3 = 0, -2*f + 2 = -0. Let w be -10 - ((-1)\/j - 1). Is 5 a factor of (7 + w)*(-5)\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -328 - -328.612. Round d to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5240 (base 6) in base 14?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 + 7. Let b(w) = w + 11. Let m be b(f). What is the first derivative of 27*v**2 - 20*v**2 + 1 - 14 - m wrt v?\nAnswer: 14*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35723 divided by 23?\nAnswer: -35723\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 + 5*k**2 - 7*k - 4. Let q be t(-6). Suppose -4*n - 4*p + 0*p + 20 = 0, q*n = 3*p. Solve 2*x = n + 1 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 644024431 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 858259296?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3007 from 2.99.\nAnswer: 3009.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dddddjdjdd. Give prob of picking 4 d.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together 6905815845 and -7774.\nAnswer: 6905808071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -111*g. Let r(i) = -8*i**2. Calculate r(c(s)).\nAnswer: -98568*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -892.3270356 to zero dps.\nAnswer: -892","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 88115 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 17\/2 of a hour?\nAnswer: 30600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**6*p)\/p*p)\/p**(-1\/7))\/(p*p**(2\/29))**(-2\/131) assuming p is positive.\nAnswer: p**(190384\/26593)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-5)*a**(-2\/21)\/a*a*a assuming a is positive.\nAnswer: a**(-86\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 87851 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.4 (b) -0.2 (c) 1\/43 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/(o*o**(-8))*o*o*o**8\/o)\/(o**(1\/16)*o*o**(-9)*o) assuming o is positive.\nAnswer: o**(399\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 50170291?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1363, -1187, -1011, -835, -659, -483?\n\"Answer: 176*d - 1539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 1080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1272863?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s + 2*s - 4*s)*(-5*s**4 + 0*s**4 + s**4) + 2*s**5 + s**5 - 2*s**5.\nAnswer: 13*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -26\/49? (a) 3\/7 (b) 4 (c) 3\/4 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 12 = -4*k, -28*g + 12*g - 4*k = -11*g - 14 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18903605?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 45 = -7*v, -5216*t = 5*v - 5212*t + 88 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 2 a when four letters picked without replacement from {a: 2, e: 2, w: 5}.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*y + 9 = -44 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 6*r = -4*r + 76, r - 81 = -5*v. Suppose 0*a - 4*a = -56. Is a greater than or equal to v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 46 - 2 - (9 + -6 - -7).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -4*g - 24. Let t be s(-13). Let l(u) = -t*u + 61*u - 37*u. Let o(p) = 2*p. Let f(h) = h**2 + 5*h. Let v(x) = -2*f(x) + 5*o(x). Give l(v(y)).\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 12, 59, 138, 249?\n\"Answer: 16*s**2 - s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 503828.7nm in centimeters?\nAnswer: 0.05038287","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/8, 57, 0.3, -8.3?\nAnswer: -8.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -197*p + 2. Let n be z(3). Let i = n + 885. Let x = i - 164. What is x rounded to the nearest 10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10101 (base 3) to base 10.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 6)*(310 - 310 - 51*a) - 5*a + 8 - 8 + 5 + 0 - 3 + 2*a + (-3 - a + 3)*(2 - 4 + 3).\nAnswer: 149*a + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*k**3 + 269*k - 22351832*k**2 + 1411*k + 22352140*k**2 + 3*k**5 wrt k?\nAnswer: 60*k**3 - 12*k + 616","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 5408 - 26378. What is m rounded to the nearest 1000?\nAnswer: -21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 PM and 7:06 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 546*r**5\/5 + 14733*r**4\/5 + 93123*r**3\/5 + 202119*r**2\/5 + 121131*r\/5 - 2052\/5 = 0.\nAnswer: -19, -4, -3, -1, 3\/182","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12 or -26454\/2597?\nAnswer: -26454\/2597","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 63331 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 27 and 81?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20608, 41213, 61818, 82423, 103028, 123633?\nAnswer: 144238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 72892 a multiple of 139?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -4*v. Suppose 18 = 4*p + 4*u - 6, 2*u + 33 = 3*p. Let q(w) = 0 - p - 7*w - 12 + w. Let i(h) = h + 4. Let n(b) = -21*i(b) - 4*q(b). Determine g(n(j)).\nAnswer: -12*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/18 and 29\/489.\nAnswer: 2934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -155\/483924 and 155\/1176.\nAnswer: 967848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 284?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1355990.\nAnswer: 2, 5, 135599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/15 and -59\/420.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 53339, 106704, 160099, 213542, 267051, 320644, 374339, 428154?\n\"Answer: 3*j**3 - 3*j**2 + 53353*j - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 43.9 + -46.9. Put 9, -5, w in increasing order.\nAnswer: -5, w, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 1264095?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s + 348. Let g(d) = 168409*d**2. Calculate h(g(q)).\nAnswer: 168409*q**2 + 348","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001413917988 rounded to 6 dps?\nAnswer: -0.000141","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 27*p + 667. Let d(q) = -14*q - 342. Calculate 9*d(m) + 4*j(m).\nAnswer: -18*m - 410","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -52, -354, -902, -1702, -2760, -4082, -5674?\n\"Answer: -g**3 - 117*g**2 + 56*g + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2668, 2851, 3158, 3589, 4144?\n\"Answer: 62*h**2 - 3*h + 2609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*(g\/(g\/((g**1*g)\/g)*g)*g*g*g)\/g)**(-21)\/(g**10\/g**(-14)) assuming g is positive.\nAnswer: g**(-87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 234, 450, 674, 912, 1170, 1454, 1770, 2124?\n\"Answer: a**3 - 2*a**2 + 215*a + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -18*i - 114 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 3*a**2 + 12*a - 1. Let y(q) = -q**2 - q + 1. Let g(z) = f(z) + 2*y(z). What is the units digit of g(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5984 + -5776. What is the remainder when p is divided by 198?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 61362*a**3 - 116949*a**2 + 77*a. Let b(p) = -7219*p**3 + 13759*p**2 - 9*p. Let x(i) = -77*b(i) - 9*q(i). Find the third derivative of x(u) wrt u.\nAnswer: 21630","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -0.08, 3, -10, -0.07, -4.\nAnswer: -10, -4, -2\/7, -0.08, -0.07, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-185)\/(-111) + (-41)\/3.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -2\/3*w**3 + 4*w**2 + 16\/3 + 10*w = 0.\nAnswer: -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.38329 to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 312*o - 3283. Is 3 a factor of r(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 4369703575?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 - -12. Let l be 140\/44 + 2\/(-11). What is the smallest value in t, l, 4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2281.\nAnswer: 2281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a century in months?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-5*(-3*sqrt(204) + sqrt(204)))\/sqrt(12))**2*-3.\nAnswer: -20400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2782, 2785, 2790, 2797?\n\"Answer: o**2 + 2781","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/10*30\/4. Solve -2*w - 12 = 2*g, 24 = -v*w - 3*g - 2*g for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 3*l + 39. Calculate k(-4).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, g: 4, r: 6, d: 6}. What is prob of picking 3 r and 1 d?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31 + 33. Let u(o) = o + 11*o**f - 8*o + 3*o. What is the remainder when 104 is divided by u(2)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 173\/5304 + 2\/221. What is the common denominator of -2*1 - (-1250)\/60 and p?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.8, 0.2, -4, 1\/2, 0.1, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 99 a factor of 26235?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5067779, 10135564, 15203349, 20271134, 25338919, 30406704?\nAnswer: 35474489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8116*l = -8152*l + y - 257, 0*l = 2*l - 3*y + 29 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15 + 9. Let w = s + 5. Let f = -3\/5 + 17\/20. Do w and f have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i**2 + 4*i - 1. Let p(l) = -l**2 - 2*l + 1. Give -5*p(q) - 2*t(q).\nAnswer: q**2 + 2*q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (474 - 941 + 559)*(1 - 1 + g).\nAnswer: 92*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-2)*(3 - 3). Suppose i*x - 9 = -3*x. Let m(w) = w**3 - 3*w**2 - 2*w + 2. What is m(x)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1805, -3608, -5411, -7214?\n\"Answer: -1803*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/19)*(u\/(u\/((u*u\/(u*(u*u\/u**(2\/19)*u)\/u)*u)\/u)))\/u)\/(u*(u\/(u\/(u*u**(-1\/7)*u*u)))\/u)**(-27) assuming u is positive.\nAnswer: u**(10001\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 + 7*a**2 + 14*a - 11. What is the tens digit of m(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2c + 1d12543?\nAnswer: 1d12516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 137 and -4.3?\nAnswer: 141.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 2*c**2)*(-3*c**2 + 2*c**2 - c**2 + (-4*c + c - 6*c)*(0*c + c - 2*c))*(4 - 4 - 2*c).\nAnswer: -28*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence omh when three letters picked without replacement from {o: 5, h: 7, m: 1, i: 1, c: 1}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 5 - 2)*(895*t - 93288 + 93288 + 2424*t) in the form o + a*t and give a.\nAnswer: -6638","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - 6)*((-4)\/(-10) - (-42)\/84)?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -644*b + 1. What is the units digit of l(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of k**5\/30 + k**4\/8 - 2*k**2. Suppose -m = -2*j + 3, -4*m - 3 = -4*j + 9. What are the prime factors of g(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 66011 by -5.\nAnswer: -66011\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2, -1\/3, 6, -2\/25?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -116*q + 281*q - 3630 for q.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3 + -5 + 297\/42. Let p = d + -4. Calculate the common denominator of 37\/22 and p.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13784 * 0.4\nAnswer: -5513.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23879, -35118, -46357, -57596?\nAnswer: -68835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2807 - -2827. Calculate the remainder when 173 is divided by s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -22*i**3 + i**2 - 1. Suppose -4*y + 112 = -0*y. Let c = -26 + y. What is the smallest common multiple of n(-1) and c?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 2:26 PM?\nAnswer: 1:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a litre in millilitres?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 404*i - 1212. Is 101 a factor of m(20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) - (sqrt(156) + sqrt(156)*-2) - sqrt(156))*5 + sqrt(156))\/(sqrt(12) - 4*sqrt(48)).\nAnswer: -6*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26 + -18. Suppose t = o - 15. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-96960)\/28280)\/(24\/(-364)).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 8\/7 (b) -2\/15 (c) 0.08 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*c**3 + 5*c**3 - 8*c**3 + (-c + 2*c + 0*c)*(-3*c**2 - 4*c**2 + 5*c**2) to the form w*c**2 + a + q*c**3 + m*c and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 215 and 3053?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-98)\/35 - (-2)\/(-10). Let k = -0.2 - -0.1. Let s = k + 0. What is the third smallest value in t, s, -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*p**2 + 3288*p + 5*p**2 + 2*p**2 - 4 - 3*p**2.\nAnswer: -p**2 + 3288*p - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7 - 49?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**2 + 665*z + 5000.\nAnswer: 5*(z + 8)*(z + 125)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that g**3\/2 + 221*g**2 - 35219*g\/2 + 308826 = 0.\nAnswer: -513, 28, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 412356 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 23030000 rounded to the nearest 1000000?\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (8 + -10)*(1 - (-147)\/(-2)). Let u = h + 10. Is 22 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/44 and 47\/26082243.\nAnswer: 104328972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -1\/6, -4034\/3, 0, 1, 0.4 in ascending order.\nAnswer: -4034\/3, -2\/7, -1\/6, 0, 0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 510300 rounded to the nearest 10000?\nAnswer: 510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -43864, -43865, -43866, -43867, -43868?\n\"Answer: -u - 43863","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 87 and 58.18.\nAnswer: 145.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 2)*(-6 + 1 + 3 + 2 - 4 + 3 + (-3 + 2 + 0)*(-1 - 3 + 6) + 0 - 1 - 1 + 2 - 1 - 5)*(-1 - s**2 + 1).\nAnswer: -18*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4845, 9568, 14149, 18588?\n\"Answer: -71*p**2 + 4936*p - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 285 = -4*s, 0 = -5*s - 5*t + 158 + 217. Calculate the remainder when s is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1503894500?\nAnswer: 2, 5, 3007789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12685 - -42389. What is the tens digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29779866 * 3\nAnswer: 89339598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:59 PM and 10:55 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 AM and 2:23 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.032 - 19.032. Which is smaller: c or 1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h + 4. Let w be t(0). Let d be 4\/16 - (-15)\/w. Suppose -3*k + 0*k + 6 = -3*q, 3*k + 2*q - 1 = 0. Calculate the greatest common factor of k and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2 - -1 - -1) + 2. Let q(j) = 9*j**2 + 6*j + 4. Let u be q(-1). Let t(x) = -u*x**2 - 2*x + 0*x**2 + 11*x**2 + 2*x**3 - 4*x**3 - 2. Calculate t(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9120, 36494, 82128, 146022, 228176?\nAnswer: 328590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 7, p: 7}. Give prob of sequence hhh.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 283302704 by -4.\nAnswer: -70825676","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 515.970544 to the nearest ten.\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - -5) + 10 - (196 + -108).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 1, 5, -5, 3 in ascending order.\nAnswer: -5, 1, 3, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 847571987 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/14 + (-1)\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -95 + 83 - (-1 - 8)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b = 3*p - 7*b - 108, -9*p - 39*b + 45 = 11*p - 44*b for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 187 and 6654446?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35 + -112. Let v = -22 - k. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**4 + 24*a + 4 - 3*a**3 - 4 - 3*a**3 - 8*a**2 = 0. Calculate a.\nAnswer: -2, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1029850 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + g - 2*u = 68, 4*u + 88 = -5*g. Let c = g - -40. Calculate the highest common factor of 56 and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 4*y = -0*r - 16, 2*r - 5 = 3*y for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.8 + -0.8. Let f = 0.228 - -0.372. What is the second smallest value in -1\/4, f, 2\/11, t?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11, -44, -99, -188, -323, -516, -779, -1124?\nAnswer: -1563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6624180 and 83520?\nAnswer: 105986880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*j**3*x + 38*j**3 - 7*j**2*x + 9137*j*x + 5*x + 7362 wrt x?\nAnswer: 3*j**3 - 7*j**2 + 9137*j + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18.71 + -19. Let s = 17227 - 17226.71044. Let d = s + b. Round d to four decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 447350 is divided by 4146.\nAnswer: 3728","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.4 (b) 1\/6 (c) 8.521 (d) -3 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 157 = 17. Let x(t) = 17 - 52 + s - 4*t. Let n(p) = -27*p. Determine n(x(g)).\nAnswer: 108*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 11293128 divided by 2772\nAnswer: 4074","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 120683.3512 rounded to the nearest ten thousand?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 2 q when three letters picked without replacement from qqqssqsqqqsquq?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 13341 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3, 2\/35, -1\/14, 1\/5, 2\/31?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 3*q = 57, 2*r + 10 = 3*r + 5*q. Does 5 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 13*p - 61. Let c(x) = -14*x + 61. Suppose 2*i - 4*t = -12, 9*i = 4*i - t + 14. Let u(m) = i*s(m) + 3*c(m). Differentiate u(q) with respect to q.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yccjcycyyyjyy. Give prob of sequence cyyc.\nAnswer: 21\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1202268 from 1369.376.\nAnswer: 1369.4962268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*k - 54*k - 2*i = -30, -5*i - 15 = -5*k. Suppose 3*j - 28 = -4*p, 2*j - 4 = p - 0. Suppose -k*q = p*q + 2*q. Sort -27, -5, -4, q.\nAnswer: -27, -5, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-69))\/4*1368\/57*1\/(-4).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 216453?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiiiiiiiboiiiibb. What is prob of picking 2 b?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in 3, 1\/5, 4\/7, 0.07?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-304)\/22800*175\/(-63)?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 5 + 13 = 3*y, -5*y = -4*n + 15 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f + 5. Let k(h) = -116*h - 85. Let o(p) = 2*k(p) + 18*m(p). What is the first derivative of o(t) wrt t?\nAnswer: -250","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -10\/3 and 4\/(-14) - 393\/(-126)*-1.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 + 3*w**2 - 17*w - 10. Let o be s(-5). Solve -n - 3*k = -15, n + o = -3*n + 5*k for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of x**5\/30 + 23*x**4\/8 + 265*x**3\/18 + 109*x**2\/4 + 65*x\/3 - 675. Find l, given that t(l) = 0.\nAnswer: -65, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a kilometer in millimeters?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 8686, 17636, 26586, 35536?\n\"Answer: 8950*v - 264","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*s + 16. What is the lowest common multiple of (8\/12)\/(1\/6) and s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of -2*i + 1\/2*i**2 - 12. Give o(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2)\/3*(1 + -4). Let x(t) = t - 1. Let s(q) = q - 2. Let v(b) = j*x(b) - s(b). Determine v(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2284226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*l - 1590 + 2250 = -19*l for l.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 - 11*i + 4. Let v(k) = -k**2 - k + 1. Let x be v(-3). Let o(r) = -2*r**2 + 10*r - 3. Let t(a) = x*o(a) - 4*d(a). Is t(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*u - 2*u - 8. Suppose r + 8 = u*r. Let i = -27 - -42. Solve i = 3*q - r*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 2, -3, 52 in decreasing order.\nAnswer: 52, 2, -3, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + 64\/2 + 1. Let m be -1*(-3)\/y*-6. Let l = 40\/33 + m. Which is the third biggest value? (a) l (b) 0.4 (c) 4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/20*5\/2*(-112)\/7\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (((sqrt(264)*-2 + sqrt(264))\/sqrt(12))\/(sqrt(22)\/(sqrt(33)\/sqrt(3))))**2 + 0.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 390 is divided by 109?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 1487349*c. Let d(r) = -78*r. Give w(d(o)).\nAnswer: -116013222*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 10124 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d (base 15) to base 8.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 128613 a multiple of 115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*n - 18 = -35*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -762, -1935, -3540, -5577?\n\"Answer: -216*v**2 - 525*v - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/(l**(3\/5)\/l)))**(-22) assuming l is positive.\nAnswer: l**(44\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 850, 1641, 2598, 3835, 5466?\nAnswer: 7605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*b - 18167390 = -261*b - 6452225. List the prime factors of b.\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 529999733 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*1*(-18)\/12.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -137*f + 136*f - 2 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 4*q - 2 = 0. Let m be q*521 - (-30)\/10. Suppose 7*b - 11*b + m = 0. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**2 + 6*h - 14. Let f be c(-8). Let t(x) = -x + 10. Let p be t(6). What is the second derivative of -9*j + f*j + 29*j**4 - 45*j**p - 3*j wrt j?\nAnswer: -192*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -16506 + 16500. Which is the nearest to 37? (a) h (b) 1\/5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of 1\/12*x**4 + 0*x**6 + 1\/20*x**5 + 0*x + 1 + 13\/105*x**7 + 21*x**2 + 0*x**3. Find the second derivative of s(h) wrt h.\nAnswer: 312*h**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes after 1:25 AM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a*a**(2\/23)*a)\/a**(4\/3))**(2\/73)*(a**1)**(-6\/5)*((a\/(a\/a**(1\/10)))\/a)\/(a*a*a\/(a\/(a*a**(-2)))) assuming a is positive.\nAnswer: a**(-153727\/50370)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 - 3 + 21*f + 6 in the form l*f + v and give l.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**4 + 2*a**4 + a**4)*(-423*a + 17*a + 101*a).\nAnswer: -305*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 - -11.9. Let o = q + 0.1. Let v = 295\/77 + -39\/11. Is v not equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - 30231341?\nAnswer: -30231333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1\/2213, -4\/3, -3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i + 7. Suppose 0 = -29*r - 27*r - 56. Let u(n) = n + 1. Calculate r*g(w) + 4*u(w).\nAnswer: 5*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -31*x**2 + 15*x**2 + 4*x**3 + 17*x**2 as c*x**2 + h + s*x + z*x**3 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuqbuqq. Give prob of sequence qbq.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 0*b = -16, 4*o - 4*b = 0. Solve 4*h - 8*h - 8 = 0, -2*h = o*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 68225*k**2 - 10*k.\nAnswer: 5*k*(13645*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a century in years?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of 2*j**3\/21 + 3*j**2\/7 + 5. Suppose t(k) = 0. What is k?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a9a3 (base 13) to base 9.\nAnswer: -35358","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -26.1 and -20416?\nAnswer: 20389.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 48\/(-4)*(-2)\/4 - -3. Suppose -2*v - n = -r, 0*r + 3*v + 11 = r. Suppose -j + r - 6 = 0. What is the second smallest value in 3\/10, 4, j?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 22) + (-1 - -2) + 9329 + -9328?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.197301 to 3 decimal places.\nAnswer: -1.197","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/28515, -1, -0.5, 4, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2476*i**3 - 1163*i**3 + 1002*i**3.\nAnswer: 2315*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.0389 rounded to 1 dp?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/471606227 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -58 + 168. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-74 + 78)*(3 + -1). Suppose d*x = 9*x - 800. What is the hundreds digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 15) to base 4\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/4)\/((8\/84)\/(41116\/(-18935))).\nAnswer: 57\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4367, 8851, 13335, 17819?\nAnswer: 22303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 9. Let o(g) = -g + x*g - g. Let y(q) = -6*q**2. What is y(o(c))?\nAnswer: -54*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 + 13. What is the remainder when 77 is divided by x?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31 - (9 - -21) - (-1 - -47) - -13?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}