diff --git "a/data/dm_maths/full_data/2755_11255.jsonl" "b/data/dm_maths/full_data/2755_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/2755_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let r = 35 - -25. Let x = 4 + -1. Let d = x + 12. What is the highest common divisor of r and d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 223425320?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 m when two letters picked without replacement from mmj?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z - 2*z + 3*z - 4*z to the form u*z + s and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2177ba8 + -3?\nAnswer: 2177ba5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 201 - 6364?\nAnswer: -6163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -74187 less than 0.24?\nAnswer: 74187.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -26*t + 30*t - 4548. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 114933*c**3 + 69440*c**2 + 1 wrt c?\nAnswer: 689598","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 143\/3 + -623\/12. What is the common denominator of 2*-3*95\/(-360) and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-5 + 7) - -3\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 2*u - 21 = 0. Suppose 4*p = -u + 23. Suppose -5*r = 0, p*c = r - 2*r. Is -1 bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4111*m**2*r + 2*m**2 - 4*m*r + 166333*r + 2 wrt m?\nAnswer: -8222*m*r + 4*m - 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -0.09319\nAnswer: 0.027957","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -88.4 + 83.4. Which is the third smallest value? (a) l (b) 7 (c) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -917*x**5 - 2388*x.\nAnswer: -18340*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, k: 1, l: 3, h: 1}. What is prob of sequence dhlk?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 13 + 9. Let l(k) = 34*k + 1. What is the remainder when l(s) is divided by 35?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w**5 - 15*w**4 - 35*w**3 + 55*w**2 + 30*w - 40 = 0 for w.\nAnswer: -2, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 13904 (base 12) to base 15\nAnswer: 80ea","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 104 + -722\/7. What is the second biggest value in r, -5\/8, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -0.2092?\nAnswer: 0.02092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1097385 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-629)\/(-34)*652\/326.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - l**2)*(-4*l**3 + 5*l**3 - 2*l**3) + (0 - 2 + 0)*(l**5 + l**5 + 0*l**5).\nAnswer: -3*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 20\/(-24) - 32515\/(-30). Calculate the greatest common factor of a and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*j**4 + 142 + j**3 - j + 1329 + 10*j**4 + 0*j + j**2 + 184 to the form z*j + k + i*j**2 + p*j**4 + f*j**3 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 8\/2 + -6 + 0 + -2. Suppose 72 = -5*p + 82. Suppose 3*c + 2*a = 7*a + 5, 2*a + p = -c. Sort 7, c, d in ascending order.\nAnswer: d, c, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 + 5*h + 2. Let g be n(5). Suppose -213*x + 199*x = -392. Solve 4*i + 4*j + x = 0, -4 = i + 3*i - g*j for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of w**3\/3 + 3*w**2 + 6*w - 1. Suppose -3 = -5*m - 28. Calculate n(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 115\/108 + ((-27)\/12 - -2). Let y = f + -2771\/54. What is the common denominator of -57\/2 and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*w**2 - 2*w + 3353 - 14*w**2 + 4844 + 9*w**2.\nAnswer: 6*w**2 - 2*w + 8197","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/5 (b) -3\/22 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.37, -4, -2, 12 in ascending order.\nAnswer: -4, -2, -0.37, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 517910 and 133330?\nAnswer: 670","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-2 - -1)*(-9 - (-158049)\/17514) and -29\/98.\nAnswer: 13622","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -2623\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3852*d**2 - 48 - 7662*d**2 - 2*d + 3829*d**2.\nAnswer: 19*d**2 - 2*d - 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -32 - -6?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q = 3*q + 15. Let w be (-518)\/(-28) + q\/2. What is the greatest common divisor of w and 160?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6628779929 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = s - 12, 3*s + 0*y + 5*y - 78 = 0. Let c = -9 + 23. Suppose s = 4*a - 3*t, 2*a + 3*t = 1 + c. Solve -a = -2*f + 4, -5*v = f - 30 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/7, 0.2, 127 in decreasing order.\nAnswer: 127, 0.2, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 85902 and 278.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of 7*u**2\/2 + 2*u + 117. Determine k(-3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2245450 to the power of 1\/4, to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2782244 is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -54799.7 times 0.52\nAnswer: -28495.844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4192 - -312584?\nAnswer: 316776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nl when two letters picked without replacement from lltflflfssltslns.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 502?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 11473358.4 hours in weeks?\nAnswer: 68293.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1.43*-0.3\nAnswer: 0.429","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 61, -786, -5 in descending order.\nAnswer: 61, -5, -786","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1437.3 + -1437. What is the fourth biggest value in c, 16, 0.1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -183*m - 11920 = -193*m. Let g be ((-188)\/(-6))\/((-1)\/(-6)). Suppose 4*l - m = -g. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*k**3 + 2*k**3 - 1401*k + 2827*k + k**3 - 1426*k.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.028609199 to 2 dps.\nAnswer: -3.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4624 + -4602. Calculate the smallest common multiple of 168 and s.\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 7) to base 11\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11.793 + -11.79300034684. What is s rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b - 2 - 6*b + 9*b**2 + 3*b + 2*b. Let t be c(2). Differentiate -7 + 3*d**3 + 3*d - 3*d + t*d**3 wrt d.\nAnswer: 99*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.1? (a) -2\/3 (b) 0 (c) -2 (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1315510 to the nearest integer?\nAnswer: 1147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, 267, 0, 2\/15, -2\/11?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -5 (b) -0.025 (c) -4 (d) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*(-3575)\/858*2\/3*(-12)\/(-6).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 134 and 20.\nAnswer: 1340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 10*x**2 + 3*x - 2. Let k be i(1). Let y(j) = -j + 6. Let s be y(k). Let d(h) = h**2 + 6*h - 4. Determine d(s).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -20, 1, -0.0492, -3?\nAnswer: -0.0492","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 7882*r + 1. Let z be n(1). Let b = 66896 + -590251\/10. Let o = z - b. What is the common denominator of 31\/28 and o?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2493 by -16.\nAnswer: -2493\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/9, 0.5, -10.\nAnswer: -10, 1\/9, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -13 - 2 - 2511\/(-155)\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.0282 + 1.122. Round k to two dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 550.43, -26, -0.3 in descending order.\nAnswer: 550.43, -0.3, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4506653, 18026602, 40559851, 72106400?\n\"Answer: 4506650*a**2 - a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1920)*2 + sqrt(30))*-5)\/(((sqrt(90) + 1*sqrt(90) - sqrt(90))*-5)\/sqrt(9)).\nAnswer: 17*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (22*1)\/(-3 - (-210)\/66)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -136 - -286. Suppose -2*l - i = 2*j, -j = -l + 57 + 18. Let c = -60 - j. Calculate the remainder when 87 is divided by c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34647.0719 rounded to zero decimal places?\nAnswer: -34647","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -156*g - 169*g + 491*g - 168*g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -14*s**2. Let u(b) be the first derivative of 2*b**2 - 29. Determine u(p(d)).\nAnswer: -56*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 + 109 = 132*t - 44. Which is smaller: t or 4\/945?\nAnswer: 4\/945","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 56\/5? (a) -2 (b) -88\/3 (c) -0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 3*k = 2037, 0 = 5*z - 0*k - k + 3415. Let y = z - -1343. Is 17 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of -23*o**4\/12 + 14*o**2 - 10*o. Differentiate u(c) wrt c.\nAnswer: -46*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18471 and 1128.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 400894 is divided by 1327?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of -a**5\/20 - a**4\/12 + 11*a**3\/6 + 7*a**2 + 16*a. What is the least common multiple of p(-4) and 12?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + 22725?\nAnswer: 22723","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -291151*o**3 + 196648*o**2 wrt o?\nAnswer: -1746906","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 57360979211 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**2 + 2*w**2 - 4*w**2)*(-4 - 3 - 2)*(4 - 6 + 1).\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Total of 7 and 0.0474.\nAnswer: 7.0474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 329885337?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -3*t**5 + 48*t**4 - 243*t**3 + 438*t**2 - 240*t = 0.\nAnswer: 0, 1, 2, 5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7)\/((-28)\/16) - 200. Let c = 261 + 24. Let h = r + c. Does 43 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 139523*o - 314553*o + 149255*o. Let w(l) = l. Calculate k(w(r)).\nAnswer: -25775*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 3036*t. Let p(a) = -2*a. Give p(m(r)).\nAnswer: -6072*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -1858 > -243228\/131?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4829*d + 34*d**2 + 4 - 2398*d - 2408*d to c*d**2 + z + x*d and give x.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 637.\nAnswer: 2\/637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from txtxttt. Give prob of sequence txt.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 3*u**2. Let b(i) = 3 + 6656*i - 3 - 3298*i - 3329*i. Determine p(b(w)).\nAnswer: 2523*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 12, 5, -2, 129, 13 in descending order.\nAnswer: 129, 13, 12, 5, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9803 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 631, 1268, 1903, 2536, 3167, 3796?\nAnswer: 4423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - (-15)\/(-12))*(147 + -147). Find u such that 136*u**4 - 64*u**5 - 321\/4*u**3 - 1\/4*u + k + 17\/2*u**2 = 0.\nAnswer: 0, 1\/16, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of 103*m**6\/30 + m**5\/10 + m**3\/6 + 156*m**2 + 272*m. Find the second derivative of x(t) wrt t.\nAnswer: 1236*t**2 + 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -85 less than -87.76338?\nAnswer: -2.76338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 3*y**4 + 210*y**3 + 3852*y**2 + 7086*y + 3441 = 0.\nAnswer: -37, -31, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1867*i**3 - 377*i**2 + 4 wrt i?\nAnswer: 11202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 689.15207 + -3079.78\nAnswer: -2390.62793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 + 12*p**2 + 49*p + 465. Let m be w(-10). What is the highest common factor of m and 75?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.3, -0.5, -87545?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n. Let x(v) = 209*v + 462. Let s(j) = -13*j - 29. Let d(m) = -33*s(m) - 2*x(m). What is q(d(w))?\nAnswer: 22*w + 66","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 17 = 5*d, -4*d + 81 = 4*u + 109 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 885, 901, 917?\nAnswer: 933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.24, -0.1, 0.1, -9.7, 3?\nAnswer: -9.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**4 + 11*x**3 + 13*x**2 - 11*x - 12.\nAnswer: -(x - 12)*(x - 1)*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3*h + 1)*(6*h**4 - h**4 + 16*h**2 - 3*h**4).\nAnswer: -6*h**5 - 48*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.279 + 0.079. Which is the nearest to 13? (a) y (b) 2\/9 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + -35 - (-23 - (20 + 9))?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 207621?\nAnswer: 3, 17, 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 30 + 87. Let y = b - 112.6. Let v = y - 4.3. Sort v, 3, -4, 1.\nAnswer: -4, v, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24954 is divided by 347.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 260.8 + -260.3. Which is the nearest to -5? (a) -0.3 (b) w (c) -1.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 + 2*f + 4. Let v(s) be the first derivative of s**3\/3 - s**2\/2 - s + 5. Let w(z) = -r(z) - 6*v(z). What is the tens digit of w(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 761028172?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 1. Let q(y) = -y + 1. Suppose -12 = 4*h - 0. Let u be 4\/(-6)*(-3)\/2. What is h*k(b) + u*q(b)?\nAnswer: -b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, -6, 1, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.16 + -0.84. Let t = -103.7 + 108. Let h = t + -4. Sort p, -2\/13, h in descending order.\nAnswer: h, -2\/13, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 2*g**3 - 5 + 6*g**2 + 4*g - 9*g**3 + 8*g**3. Let k be z(-5). Suppose 0 = 3*a - k*a - 105000. What is a rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 838*p**2 - 1507966*p + 1507966*p - 2 to the form t*p + u*p**2 + o and give u.\nAnswer: 838","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -6*z - 7*z**2 + 147 - 141 + 2*z - 2*z. Let d(c) = -c**2 - c + 1. What is -6*d(h) + l(h)?\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 41, 155, 337, 581, 881, 1231?\n\"Answer: -j**3 + 40*j**2 + j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence an when two letters picked without replacement from {e: 1, a: 1, n: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*i + 6 = 15*i. Let c be i - -4 - -3 - -2. Let z(m) = -m**3 + 5*m**2 + 6*m + 7. Let g be z(c). Put g, 1, -1 in ascending order.\nAnswer: -1, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 4\/3269?\nAnswer: 4\/3269","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25894.\nAnswer: 2, 11, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -360 + 1550562?\nAnswer: 1550202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q\/q**(-4))\/q**(-3\/2)*(q\/((q*q**(-3))\/q)*q)\/(q\/q**(-4)))**(33\/5))**(37\/4) assuming q is positive.\nAnswer: q**(3663\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 27695340 rounded to the nearest 100000?\nAnswer: 27700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 12*i - 697 = -8*i, 2 = i. Does 142 = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20cbe (base 16) to base 15\nAnswer: 29c09","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert b (base 15) to base 4.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 9 = -25. Suppose -12 = 3*x - c*x - 2*f, -3*x - 5*f = -39. 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: 33174 times -38\nAnswer: -1260612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1860, -1862, -1864?\n\"Answer: -2*x - 1858","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -3, 3, 67, -2 in increasing order.\nAnswer: -3, -2, 3, 7, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -7. Let j(m) = m - 7. Let p be j(-4). Let g = v - p. Calculate the remainder when 26 is divided by g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m + 4. Let l be c(2). Let g(t) = t + 12. Let n be g(-10). Suppose 0*v + n*v = 0. Solve z - 2 = u, v = l*z + 5*u + 23 + 8 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/27)\/((-18)\/81).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 65438587?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 12323245 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0*(2 - (-7)\/(-3)). Suppose m = 2*y - 31 - 1. Let b be -30 + (-9)\/((-36)\/y). Put b, -0.2, -2 in descending order.\nAnswer: -0.2, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 + -15. Let r = f + 0. What is the third derivative of -3*b**2 + 4*b**r + 5*b**2 + 7*b**4 wrt b?\nAnswer: 168*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, s: 1, o: 1, q: 1, w: 2}. Give prob of picking 1 q and 2 w.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 138114 and 234?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 6*p. Let f(x) be the third derivative of 7*x**5\/60 + 45*x**2. Give f(k(o)).\nAnswer: 252*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - 3*o + 0*o)*(-2 + 4 + 0)*(-24 + 20 - 13) + (3 - 3 + 2*o)*(-1 + 0 + 0).\nAnswer: 66*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1295 = 34*b + b. Suppose b*c + 200 = 607. Solve -5*r = -c - 14 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 2, -7472, 21, 4, -1 in descending order.\nAnswer: 21, 4, 2, -1, -4, -7472","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + -3. Suppose -3*n - 2*o + 6 = a, o + 9 = -2*n + 4*o. Let p(l) = 3 + 4 - l**3 - 1. Calculate p(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 4)*(644 - 1180 + 158)*(-42 - 2*w + 4*w + 36)*(3*w - 2*w + 0*w).\nAnswer: -756*w**2 + 2268*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**5\/2 + 61*o**4 + 1920*o**3 + 3600*o**2.\nAnswer: o**2*(o + 2)*(o + 60)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (43\/43)\/((-1)\/(1\/5))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -225 - -267. What is the smallest common multiple of 3 and j?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (0 - 0) + 1 + 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1885\/174)\/13*15)\/((35\/24)\/7).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -145, 0.3, 0.2, 2\/5, 111?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**2 + 19*q - 48. Let a be c(-18). Let b = a + 65. What is the fourth biggest value in -2\/7, 2, b, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d, 1 w, and 1 f when four letters picked without replacement from dfwffwwddffdffdwwww.\nAnswer: 245\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1717 + 8*k + 1717.\nAnswer: 8*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6691 = p - 2*o - 6605, -o = 3*p - 57 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.1, 0, -5, -9143?\nAnswer: -9143","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmmmmmmwmmmwmmmmm. What is prob of picking 1 w and 2 m?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 + 114*v**2 - 206*v - 490. Is d(101) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence taz when three letters picked without replacement from jaaaazaaanetate?\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.184 * 2.4166\nAnswer: 0.4446544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 643932089?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r**2)*r**(1\/8))\/(r**(-7)\/(r\/r**(-4\/3))))**(-9) assuming r is positive.\nAnswer: r**(-537\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 8*i**3 + 244*i**2 + 12*i. Let h(p) = 3*p**3 + 84*p**2 + 3*p. Determine 6*d(g) - 17*h(g).\nAnswer: -3*g**3 + 36*g**2 + 21*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**3 + 13*a**2 + 31*a - 19. Let x be u(15). What is the tens digit of x\/3 + 0 + (-668)\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*y - y**2 - 1 - 1 - 34*y)*(-5*y**2 + 4*y**2 + 4*y**2 + (5*y + y - 4*y)*(-3 + 3 + 19*y)).\nAnswer: -41*y**4 - 369*y**3 - 82*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + 62 = -2*x - 46, -2338*x - 701 = -2335*x - 0*r + 7*r for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7802?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 5:31 AM?\nAnswer: 11:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12*13\/(-156)*-1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -2*f + 23. Let r(x) = 4*x**2. Give r(u(q)).\nAnswer: 16*q**2 - 368*q + 2116","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 6*r**2 - 2*r - 2. Let c be w(-2). Let o be (-8)\/36 + 3032\/36. Suppose 3*j = -5*s + o, 4*j + s - c = 3*j. List the prime factors of j.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g + 20 = 4*n, -4*g - 18 - 7 = -5*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30 - 3*p + 33 + 30*p.\nAnswer: 27*p + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by -30432?\nAnswer: 1\/3804","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 1)*(-h**3 - 3*h**3 + 2 + h**3).\nAnswer: 3*h**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = -0*v - 5*v. Let l(m) = m**2 + 13*m - 11. Let k be l(v). Suppose -y = -2*h - 2, -2*h + k = 3*y - 11. Solve 12 + 4 = -y*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10608\/7 - -1515. Which is the closest to 3? (a) 2 (b) -4\/55 (c) w (d) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 18 = -2*s, -s + 7 - 21 = -5*o. What is the closest to -1 in -5, 1, o?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 489.9179 decades in centuries?\nAnswer: 48.99179","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 511457?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 27 and 1581.\nAnswer: 14229","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -11 - (-16 - (-3 - 7))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 + 57 = 2*c. Let f = -48 + c. Solve -x - 4 = -f for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i - 1. Let r be y(3). Solve -7 = -4*n + r*z + 5, 3*n + 5*z = -4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*u - 4*u - 3507. Let f = u + -746. What is the first derivative of -2*a - 11 - 425*a**2 + 2*a + f*a**2 wrt a?\nAnswer: -4*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6320, 12568, 18746, 24854, 30892?\nAnswer: 36860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 491004261 - 32*o - 491004261.\nAnswer: -32*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 173321 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/72*(-4)\/(-10))\/(15\/12).\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1237526092?\nAnswer: 2, 11, 1787, 15739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -a + 5. Suppose -4*l + a = 1. Let k(d) = 18*d - 34. Let i be k(3). Calculate the greatest common divisor of l and i.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4 + 2)\/((-4)\/8). Suppose 3*u - 6 = -2*i - 0*i, -4 = w*i - 2*u. Which is smaller: 4\/3 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*5\/(-44)*-2. Let r be (-51)\/(-34)*48\/(-108). Which is the nearest to 1? (a) v (b) r (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 3*g)*(g**2 + 2*g**2 - g**2) - g**3 + 0*g**3 - g**3.\nAnswer: -8*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 26\/27 and -5\/39.\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.168092 times 9.7\nAnswer: 1.6304924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3\/2, -3, -2.8, -2083, 8?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -2*w - 0*w + 6, -w + 3*v + 3 = 0. Is 5 a factor of w*(3 - 8)*-2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(204)\/(-4*sqrt(588)) + (sqrt(17) + -2 + -5 - (sqrt(17) + (4 + sqrt(102)\/sqrt(6))**2)))*6.\nAnswer: -270 - 675*sqrt(17)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 5*(-15)\/((-165)\/33)*-5\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 3, x: 5, g: 3, h: 1}. What is prob of picking 2 f and 1 h?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -5*g + 104. Suppose 0 = -2*d - 3*y + 7*y + 114, 0 = -3*d - 5*y + 215. Calculate the greatest common divisor of d and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 137241 divided by 1\nAnswer: 137241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 24, 1, 0 in descending order.\nAnswer: 24, 2, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4020736 rounded to the nearest 100000?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9350052 and 8303.\nAnswer: 177650988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = l + 36. Calculate the smallest common multiple of l and 2\/6*-66*6\/(-11).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.1 from -59378.2258866191.\nAnswer: -59378.3258866191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 64600873 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 11769344771 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z**2 - z + 15. Let c be 1 + 1 - (3 + -1). Is g(c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2 + -2. Suppose l*j - 1 = -j. Suppose u - 45 = -4*u - 5*w, -4*u + 3*w = -50. Calculate the lowest common multiple of j and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2\/3485 + -38111\/390320. Calculate the common denominator of m and 11\/1666.\nAnswer: 13328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r - 281*b + 3177 = -2*r + 650, 0*r - r - 3*b + 28 = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*r - 16*r - j + 1922203 = 0, -2*j = -r - 1922206. Round r to the nearest one hundred thousand.\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/1948597 and 65\/291?\nAnswer: 567041727","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 284241240 by -18949416.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f. Let k(i) = 2*i**2 + 8*i. Suppose 5*h = -2*b - 17, 0 = -0*h + h + 2*b + 5. Let g(v) = h*k(v) - 24*j(v). Let q(n) = -n. What is q(g(p))?\nAnswer: 6*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2132774775 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(704) + 4 - (-6*(1*sqrt(704) + sqrt(704)) + sqrt(704)).\nAnswer: 6 + 96*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 412 a factor of 182516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-16536)\/(-1696))\/(693\/(-112) - -6)\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 523*o**3 - 799*o**2.\nAnswer: 3138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*z + 4*s, 0 = 3*z + 2*s - 7 - 1. Let j be (-2 + z)*13\/2. Let x = j - -57. What is the remainder when x is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2358 + -2358.4. What is the closest to 2\/7 in 107, 0.5, 0.4, v?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9415112 divided by -28.\nAnswer: 336254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 35\/10 + (-4)\/(-8). Which is the smallest value? (a) -4 (b) z (c) -5 (d) -1\/41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 5 = 278*s - 283*s, 4*s = -u + 6 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -296575.903 - -296453. Let b = t - -122.3. What is b rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 122338254?\nAnswer: 2, 3, 71, 287179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*c**2 - 1639*c**3 + 1642*c**3 - 2*c**2.\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1430 - 1235. Does 21 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 954669044 a multiple of 1016?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 30\/24 - 24\/(-32). Let c(g) be the first derivative of 2 + 0*g + 2\/15*g**3 + 1\/5*g**a. Factor c(q).\nAnswer: 2*q*(q + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l + l - 5*l)*(-3*l + 3*l - 3*l) + (-6 + 6 + 7)*(-3*l**2 + 3*l**2 - 2*l**2)*(3 - 7 + 2).\nAnswer: 37*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 719 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 871*f - 143*f**3 + 300 + 88*f**4 + 836*f**2 + 549*f + 1015*f**3 + 996*f**2 + 84*f**4 + 12*f**5 = 0.\nAnswer: -5, -3, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 9 = o, 3 = -3*o - 0*o. Suppose -a*i + 708 = -14*i. Let v = -48 - i. Solve 4*c = c + b - v, -3*b - 11 = 2*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 285411573*q**3 - 40*q**2 - 2*q + 567920.\nAnswer: 1712469438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - 0. Let p = 0 - c. Let q = p - 2.5. Sort -0.4, q, -2\/13 in decreasing order.\nAnswer: q, -2\/13, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3220\/980)\/(2\/14). Solve -m - u = 3, -3*m = -0*m - 4*u + h for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 224 - 223.55. Let t = i + 4.55. Which is the second smallest value? (a) 9 (b) t (c) -0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 76*j**2 - 17*j. Let t(l) = 38*l**2 - 9*l. Calculate -6*p(q) + 11*t(q).\nAnswer: -38*q**2 + 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-g - 3*g + g)*(-1 + 5 - 2)*(0 - 5 + 2)*(-7*g**3 + 2*g**3 + 3*g**3) as p*g**2 + o + m*g**3 + q*g**4 + w*g and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*c*k**3 - 2*c*k**2 + 18*c*k + 253*c + k**3 - 270*k - 46 with respect to c.\nAnswer: -10*k**3 - 2*k**2 + 18*k + 253","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5407 - 5411. Let k(p) be the second derivative of -p**5\/20 - 5*p**4\/12 - p**3\/6 + 9*p**2\/2 + 12*p. Calculate k(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 0.02, 0.1, 1\/3 in decreasing order.\nAnswer: 1\/3, 0.1, 0.02, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-33)\/(3\/(-9)*1). Let w(b) = 3*b**3 - b**2 + b + 1. Let v be w(-1). Let q = v + 13. What is the greatest common factor of x and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/17, -0.2, 5, -3, 0.5?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -128 - -235. Let a = 106 - f. Let i be 209*(a + 4)\/3. What is the highest common divisor of 11 and i?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1 - 4. Let b(q) = q - 6. Let o be b(4). Sort o, d, 3.\nAnswer: d, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of -n**4\/4 - 7*n**3\/3 + 2*n**2 + 2*n - 9. What are the prime factors of m(-8)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -95286, -95278, -95260, -95226, -95170?\n\"Answer: d**3 - d**2 + 4*d - 95290","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/4)\/(10\/16). Let a = -1766 + 680. Let x = -1084 - a. Sort 1, x, k, -9 in increasing order.\nAnswer: -9, k, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 2*v + v - 2343, 2*t - 2*v = 1182. Suppose 3*u + t + 24 = -4*o, -3*o = 4*u + 466. Round o to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2360.564 and 4989871.\nAnswer: 4992231.564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 611, 618, 629, 644, 663, 686?\nAnswer: 713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 0*i + 9 = 2*m, 0 = -3*i + 4*m + 21 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -202 + 202.002885. Round g to 4 dps.\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 2, 3 in descending order.\nAnswer: 3, 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = b**3 + 7*b**2 + 13*b + 9. Let q be f(-4). Suppose -3203 + 915 = -5*j - 2*c, -5*j + 2295 = -q*c. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 + -3259?\nAnswer: -325b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: a9 (base 16) to base 4\nAnswer: 2221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(605) + 4 + sqrt(605) + 4 - (2 + (sqrt(605)*2*-3)**2).\nAnswer: -21774 + 22*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -22309*y + 22309*y + 1054*y**3 + (-3*y + 3*y - 2*y**2)*(-2 + 2 + 2*y) + y**3 + y**3 + 0*y**3.\nAnswer: 1052*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - -1111011111?\nAnswer: 1111100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 380066816 divided by 76288\nAnswer: 4982","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p**3 - 15*p**2 + 20 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-8 - -6) + 60\/(3 - 2). What is the greatest common divisor of b and 522?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 151 divide 3361109?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 328 is divided by (-593)\/(-7) + 10\/(-14)?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**2 + 1692*v - 1688.\nAnswer: -4*(v - 422)*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 851089009.\nAnswer: 2843, 299363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/8202 and 19\/33.\nAnswer: 90222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - -4 - (-5 + 11)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1375 and 3375.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 4*q = -14, 0 = 4*o - q - 10 - 9. Suppose t + o = -66. Let g = -50 - t. List the prime factors of g.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-58)\/10 - -14*18\/(-1260)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3\/3 - 1100*w**2\/3.\nAnswer: 2*w**2*(w - 550)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 3*b**2 - 6*b + 6. Suppose -2*o = -3*k, o + 2*k = -3*k + 26. Let q(s) = -s**2 + s - 1. Let r(p) = o*q(p) + x(p). Let n(g) = -4*g - 5. Give r(n(z)).\nAnswer: -48*z**2 - 120*z - 75","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/140739797 and 27\/63972635.\nAnswer: 703698985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10.0564 - 0.0864. Round o to 1 decimal place.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34178036.\nAnswer: 2, 19, 23669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*f + f + 3*y + 34, -3*f = -3*y + 6 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59227?\nAnswer: 7, 8461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fpff when four letters picked without replacement from {f: 8, p: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 223338664 to the power of 1\/3, to the nearest integer?\nAnswer: 607","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -4*s + 3*r, -2*s + 28 = s + 5*r for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, f: 2, q: 2, r: 3, i: 1}. Give prob of picking 1 f, 1 q, and 1 z.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from {i: 13, p: 3}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/((-4)\/(-8)*-1). Put -5, 2, t in ascending order.\nAnswer: -5, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 5110*u. Let i(o) = -7794*o**2. Determine i(h(v)).\nAnswer: -203517707400*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -5*s + 125, 5*z + 52 = -3*s + 4*s. Solve 12 - s = 5*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1260 = 8*y - 2*y. Suppose 0 = 4*f - 4*s - 548, -758 = -4*f - 2*s - y. What are the prime factors of f?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 14 = u. Let g = u + 0. Calculate the lowest common multiple of g and 12.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 r when two letters picked without replacement from {s: 4, r: 3, c: 6, w: 5, z: 1, f: 1}.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*-2*(-1)\/(-4). Let d(x) = 1 - 3*x**2 - 4*x + 4*x**2 + 4*x. Let j(g) = 2*g**2 + 2*g - 3. Let y(o) = -2*d(o) - j(o). Determine y(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.2 and -9073420.\nAnswer: -9073420.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0*78\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5665?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-70) + (-6)\/21. Suppose 0 = 9*w + 5*k + 80, 2*k = 3*w + 2 - 1. What is the smallest value in w, d, 5, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1398653*i - 365778 wrt i.\nAnswer: 1398653","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 5*b**2 - 26*b - 128. Calculate z(8).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1116 is divided by 101?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 8*q - 15. Let u(s) = 17*s - 34. Let l(c) = -3*u(c) + 7*v(c). Calculate l(-3).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooq when three letters picked without replacement from {o: 3, q: 3}?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 4*z - 64 = -2363, -4*s + 4*z = -1832. Let b = -459 + s. Let i(h) = -h**2 + 3. Determine i(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of n**3 + 292*n**2 + 788*n.\nAnswer: 6*n + 584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tkek when four letters picked without replacement from {e: 2, p: 2, k: 3, t: 2}.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (3 + -4)*1 + 10. Let y = 0 + q. What is y rounded to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o - 3*o + 5*o + 4*o.\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(3\/2))\/v**34)**(-48) assuming v is positive.\nAnswer: v**1656","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -c**4*t**2 - 2*c**4 - c**3*t**2 - 2*c**2 + 17*c*t**2 + 10*t wrt c.\nAnswer: -24*c*t**2 - 48*c - 6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3681\/18*2*1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**11)**(-1)\/((x\/(x\/((x\/(x**(13\/6)*x))\/x)))\/(x\/((x**(-19)*x)\/x))) assuming x is positive.\nAnswer: x**(199\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of o**5\/30 + 2*o**4\/3 + 7*o**3\/3 + 181*o**2. Factor v(u).\nAnswer: 2*(u + 1)*(u + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-1)\/(6\/940))\/(16\/(-24) + 0) is divided by 78.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 33 + -14. Suppose -16 = -h*r + 15*r. Let y be 1\/((-3)\/(-24)*r). Solve -y = -i - 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 less than -871912434?\nAnswer: -871912436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.038 and -181783?\nAnswer: 181782.962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**2 + 7*j + 12. Calculate n(-10).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -133 - -151. Calculate the remainder when 67 is divided by d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 2*p + 42 = r, -5*p = 4*r - 142. Let b = -7 + 27. Calculate the remainder when r is divided by b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-six fifths of a litre in millilitres?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/3 at least -511844?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 187 a factor of 19710799?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -25*29\/(-15225)*(-4)\/(-6)*12\/(-2).\nAnswer: -4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3433698 and 7992.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-48)\/10)\/((-16359)\/3270 + 5). Suppose -g = 5*k - p, 2*k = -g - 314 + 1014. Suppose -5*z - k = -953. What are the prime factors of z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13390 is divided by 6219.\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 191*v = 47*v - 9469 - 5651 for v.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 + 12\/2*8\/(-24). Solve 6 - t = 2*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -1620 + 868*d**2 + 495*d**3 - 672*d**5 - 198*d**2 + 677*d**5 + 365*d**2 + 85*d**4 = 0. Calculate d.\nAnswer: -6, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39, -11, 31, 93, 181, 301?\nAnswer: 459","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 305581 is divided by 38197?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*x, -3*d - 69*x + 14 = -73*x. Suppose 3*g + 2*g = 0. Find the third derivative of g - 20*m**d + 0 - 45*m**2 + 55*m**2 wrt m.\nAnswer: -2400*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/14*(-14)\/4. Let n be (-15)\/(-2)*(-13 - (-656)\/48). Solve 5*m = -5*d + n, -6*d + o*m = -d + 2 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, r: 1, x: 3, g: 1, h: 3, l: 5}. Give prob of sequence lgw.\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/50 of a litre?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22 and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/7 + (-4)\/(-14). Suppose 5*o = 2*b + 16, 3*b + 2*b - 10 = 0. Put 2, i, o in decreasing order.\nAnswer: o, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 352846 is divided by 34?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.011 times -161?\nAnswer: -1.771","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 297*a - 162. Let d(n) = 2*n - 1. Let v(t) = 162*d(t) - z(t). Let q(f) = 2*f. Calculate v(q(b)).\nAnswer: 54*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 637*q**3 - 2322*q**3 - 361*q**3.\nAnswer: -2046*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (11\/2)\/((-1181)\/4724)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -539 divided by 11\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*a*l**2 + 5*a*l - 8*a + 35*l**5 - l wrt l.\nAnswer: -6*a + 700*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zxznrrnrxrxrx. What is prob of picking 3 x?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-3)*1)\/(-6)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 152, 39, 5, -0.5, 4\/17?\nAnswer: 152","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10505 is divided by 292?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 32 = -0*w - 3*j, 0 = 3*w - 5*j - 53. Suppose 4*r + 0*r = f + w, -r - 3*f = 7. Is (0\/r + -3)\/(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -5*l**2 + 9*l + 8. Let d(i) = -i**2 + i. Let j(y) = 4*d(y) - m(y). Calculate the lowest common multiple of 16 and j(7).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1982464 and 64.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of f**7\/210 + 11*f**6\/10 + f**5\/15 + 5*f**4\/3 + 77*f**3\/6 - 4*f**2 + 267*f. Find the second derivative of p(w) wrt w.\nAnswer: 12*w**2 + 792*w + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 57717?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (9\/6)\/(15\/40). Suppose 0 = -j*k + 5*k - 3. Does 2 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-7 - 3 + 7)*(15 + 6 - 3)*(3*c - 3*c + c**3)*(-4 + 292*c - 310*c - 6) + 0*c + 0*c - c**4 as h*c**3 + j + o*c**4 + y*c + d*c**2 and give o.\nAnswer: 971","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/((v*v\/v**(-9))\/v)*v**(-3\/8)*(v\/((v\/v**(4\/7))\/v))\/(v\/((v**(-1\/9)*v)\/v*v)) assuming v is positive.\nAnswer: v**(-3989\/504)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/(-2)*1)\/(27\/1827). Let u = -67 - c. Sort 0, -1, u, 1 in ascending order.\nAnswer: -1, 0, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -48 by 16.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 8671.741 and 21.129?\nAnswer: 8650.612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 3960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - ((2 - -4) + -7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 61 = 4*s + 33, -15 = 5*t + s for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1819 - 5567 = -369*o + 8567 - 1614 for o.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1496, 2029, 3548, 6569, 11608, 19181, 29804, 43993?\nAnswer: 62264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -798 = -41*r - 1741 for r.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*p**3 - 5060*p**2 + 2021*p - 202.\nAnswer: (p - 202)*(5*p - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -127\/1095?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 2*b**2 + 4*b + 3. Let k be 2\/(((-8)\/12)\/1). Let i be u(k). Solve z = -z - 3*t - i, -5*z - 15 = 5*t for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 PM and 11:56 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 18. Suppose 4*p - 20 = 4*c, 4*c - c - 2*p = -10. Let h = c + w. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 j when three letters picked without replacement from gpevpjjppveppvvvppj?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.34, 1.61, -29\/1192?\nAnswer: 1.61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-36)\/28)\/(-9))\/(2\/(-3)*189\/42).\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 2 = 7*r. Let m(w) = -16*w - 2. Calculate the least common multiple of 18 and m(r).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of -1\/2*p**3 + 0 + 0*p + 21*p**2 - 1\/24*p**4 + 1\/60*p**6 - 1\/30*p**5. List the prime factors of i(4).\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112 = 2*b - 4*v, -2*v = 2*b - 23 - 59. Let q be ((-4)\/(-3))\/(b\/207). Solve -q*n = -9 - 15 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -113.8 plus 0.5?\nAnswer: -113.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -110 - -114. Solve s - 19 = -3*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(132)*2)\/(sqrt(36)\/(3*sqrt(3))).\nAnswer: -6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17470.66 + -17224. Let a = -22.56 + q. What is a rounded to the nearest ten?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3020, 12090, 27206, 48368?\nAnswer: 75576","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:16 AM and 9:38 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -671501000 to the nearest one million.\nAnswer: -672000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 116\/60597?\nAnswer: 116\/60597","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.6 from -0.59794679711.\nAnswer: -1.19794679711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1635.828 millilitres to litres.\nAnswer: 1.635828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1396119.353 + 635607?\nAnswer: -760512.353","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2237 is divided by 81?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -8*x**2 - 32 + 62*x**2 - 67*x - 13 + 78*x. List the prime factors of n(4).\nAnswer: 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + -313030?\nAnswer: -313030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o + 82*o**2 - 3*o + 41*o**2.\nAnswer: 123*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1188*v = -1181*v + q - 114, -3*v + 5*q + 38 = 0 for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 17*o**2 + 2*o + 5. Let z be l(-5). Suppose -4*y = y - z. Does 14 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 127272894*s**3 - 41353325*s?\nAnswer: 763637364*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + 4)*(-21)\/(-7). Calculate the greatest common divisor of 108 and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of -d**5\/12 + 5*d**4\/12 - 7*d**3\/3 + 25*d**2. Let u be t(5). Let w = -16 - u. Is 13 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6218.04 rounded to the nearest 100?\nAnswer: -6200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 89 + 291. Calculate the greatest common factor of 19 and l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of -y**6\/360 - 2*y**5\/15 + 3*y**4\/8 - 2*y**3 + 12*y**2. Let d(s) be the first derivative of a(s). Does 12 divide d(-13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -245 or -284279\/1163?\nAnswer: -284279\/1163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 403 + 184. Let u = q + -585. Calculate the greatest common divisor of 158 and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 3*d - 20, -d = 2*u - 3*d - 12. Let b be (-56)\/24 + 16\/(-24). Let r = -1 + 0. Sort r, b, u in decreasing order.\nAnswer: u, r, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1958 and 1342.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-2\/5)*r)**47*r*(r*r**3\/r)\/r*r**(-6))\/((r*r*r*r*r\/r**(-1\/2))**(-33))**(1\/8) assuming r is positive.\nAnswer: r**(7591\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1124, 2248, 3372, 4496?\n\"Answer: 1124*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 18768 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 124315 divided by -5\nAnswer: -24863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3903 - -10667. Calculate the remainder when q is divided by 165.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84*l - 57*l = -67*l + 21432. Calculate the remainder when l is divided by 26.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -1 + sqrt(7) + 1)**2 + sqrt(14)\/(-2*sqrt(128)).\nAnswer: -33*sqrt(7)\/16 + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mbmofmooemmbfqb. Give prob of sequence bb.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 AM and 6:44 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes after 8:48 PM?\nAnswer: 11:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 15 + (14 - (-3925)\/(-135))\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4364\/4187 less than or equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -363 - 223 = -5*j + 2*k, -3*j = -2*k - 354. What is the smallest common multiple of 24 and j?\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of -k**5\/60 + 3*k**4\/8 + 7*k**3\/6 - k**2. Let i be n(10). List the prime factors of i\/((-1)\/(-16)*-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 13 = 4*o, -5*o + 73 = -1248*l + 1245*l for l.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -r + 34 - 30 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -7*s**3 + 4*s**2 + 5*s - 2. Let q(d) = d**2 + d. What is i(x) - 6*q(x)?\nAnswer: -7*x**3 - 2*x**2 - x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 - 7*l**2 - 18*l - 22. Let a be (-6)\/(((-36)\/(-8))\/(2 + 1)). Let n be p(a). Solve -4*i = -3*z - 14, n*z = i + 4*i - 14 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22200221221211 + -210?\nAnswer: -22200221222121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -803 or -802?\nAnswer: -802","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8556, 12287, 16018, 19749, 23480?\nAnswer: 27211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:06 AM and 3:03 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 153 + 17710?\nAnswer: 17863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -3 (b) 2 (c) 17 (d) -5 (e) -27\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -3\/4 (b) 4 (c) 1 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 9) to base 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2082898042 to the power of 1\/3, to the nearest integer?\nAnswer: 1277","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 135a130 (base 12) to base 8.\nAnswer: 16546464","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.2, 1\/13 in decreasing order.\nAnswer: 3, 0.2, 1\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(4 + sqrt(432)*3) + (sqrt(21) - sqrt(2541)*2)\/(sqrt(896)\/sqrt(8)).\nAnswer: 20 + 699*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let i = -41 + 29. Let o = i + 12. Suppose 0 = -6*x + 2*x + 2*u - 46, -2*x - 3*u - 11 = o. What is x rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*q - 11*q - 512. What is the lowest common multiple of 12 and -7*(4\/q - 3\/4)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + 3*k**2 + 2*k - 7. Let s be a(3). Calculate the remainder when 26 is divided by 4 + s - 91\/(-13).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 - 7*f**2 - 33*f + 32. Let i be a(10). Let v = -71 + 149. Suppose -y + v = i*y. What are the prime factors of y?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 64 = -2*u - 18, 4*o - 129 = -5*u. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y + 2*y - 11. Calculate the smallest common multiple of (-15)\/(-6)*64\/40 + -1 and y.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-382)\/6)\/(13\/(-39)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 3*c + 14 = 0, 5*o - 5*c - 25 = 2*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2145438?\nAnswer: 2, 3, 119191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*c + 355 - 710 + 355.\nAnswer: -14*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-22)\/6 - (-3)\/(-9). Let i = 10 + -18. Let z = j - i. Let t(k) = -k**3 + 4*k**2 - k + 3. Determine t(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -165088 (base 10) to base 7.\nAnswer: -1255210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 203.4 + -201.4. Sort 0.2, s, 2\/9, -0.01 in descending order.\nAnswer: s, 2\/9, 0.2, -0.01","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 2 = -2*i. Let g(n) = 5 + 3*n + 3*n**2 - 3*n. Let m(o) = 2*o**2 + 4. Let v(j) = i*g(j) - 5*m(j). Let w(z) = -2*z. Determine v(w(d)).\nAnswer: 8*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*w + w + w + 3*w**2)*(-378 - 82 + 2346).\nAnswer: 5658*w**2 - 1886*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -4, 2\/7, 1\/2, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 0*v - 36. Is 6\/v + 343\/3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 39\/41 + (-3 - -2). Let w = 33\/164 - i. Let s = -346 + 1732\/5. What is the closest to w in -1\/4, -1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(42\/(-44) - -1). Suppose -4*q + t = -2*j, 0*j + j = 4*q - 27. Let x(a) = -6*a - 10 + 0*a + 8*a. Determine x(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 4*z = 0. Is -3\/4 greater than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-27209)\/676)\/(14\/(-8)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 26922 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l + 8, 10*l = -4*g + 11*l - 8. Let b(m) = 4*m - 48. Let x(s) = s - 7. Let q(t) = 3*b(t) - 20*x(t). Let p(u) = -4*u - 2. Calculate g*q(o) + 5*p(o).\nAnswer: 4*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -38 - 19 - 2138*f**2 + 92 - 35 as t + a*f + x*f**2 and give x.\nAnswer: -2138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*p - 16*p - 18*p + 69*p - 23*p.\nAnswer: -9*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in eleven quarters of a hour?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.093, -1, 0.2, 2\/13 in decreasing order.\nAnswer: 0.2, 2\/13, -0.093, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w - 2*w + w)*(1 + 4 - 2).\nAnswer: -9*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -0*i. Let l(t) = 2*t + 2*t**2 - 2*t + i*t**2. Let m(n) = 5*n. What is m(l(u))?\nAnswer: 10*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -504456 + -13?\nAnswer: -504471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8 - 95586134.\nAnswer: -95586142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.12 + 0.22. Let i(y) = -44*y + 140. Let b be i(4). Which is bigger: m or b?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, 202, 3, -4, -2 in increasing order.\nAnswer: -4, -3, -2, 2, 3, 202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/1596 and -22\/27?\nAnswer: 14364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1287415483 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 914 (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -2*q**3 - 90*q**2 - 70*q + 291. Give h(-44).\nAnswer: -501","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -87.287 + -1.813. Let n = d - 7.9. Let c = n + 97.000073. What is c rounded to five decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 + 21 = -4*q. Let k = q - -13. Solve -2*w - 1 = 3*h, k*h + 2*h = -3*w - 1 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 39. Let u = h + -29. Differentiate -4*t - u - 2*t - 2*t with respect to t.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/56 and 4505\/840 - 18\/(4 + -1).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00183400011 rounded to five dps?\nAnswer: 0.00183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4\/(-8) - (-31)\/2. Let y = 3 + 1. Suppose -y*d + 5 + o = 0. Is d even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -6 + 206*r - 8*r**2 - 210*r + 5*r**3 + 8. Is g(5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 4*f + o = -126, -2*f - 2*o = -240. Suppose -5*d = -5*j - d + 648, -j + 3*d + f = 0. List the prime factors of j.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + (-8 - -1) - (-13 + (13 - 6))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 147181681 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7.26 and -1.3?\nAnswer: -9.438","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/h**1)**(-13\/6))**(-14))**(-24) assuming h is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7395 + (-6)\/3 + (-29 - -29) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/(-1290))\/((-1)\/(-6144) + 0). Let c = 4592747\/2580 - m. Let v = c + -1760. Calculate the common denominator of 58\/57 and v.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 989883 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 43 + -42.914. Round s to two decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 + -1. Let i(y) = 5*y**2 - 3*y + 4. Let n(b) = -b**2 + b - 1. Let l be 1 + (-69)\/75 + 1\/((-2720)\/459 - -5). Give l*i(c) + o*n(c).\nAnswer: -c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1897795257 to the nearest integer?\nAnswer: 1238","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 270 - 530. Let v = -142 - p. Let j = 106.8 - v. What is j rounded to the nearest integer?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.363 - -109.863. Let l = r - 109.5906. Round l to 2 decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 400849 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -16*y - 59. Let z(c) = -20*c - 58. Let w(d) = -4*o(d) + 3*z(d). Calculate w(-14).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24586949 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -76 + -6. Let h = m + 96. Suppose 0 = -5*u + 12 + 8. Solve 4*b + d - h = 3, -u*d = -4*b + 32 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -300*z**2 + 62*z**3 + 158*z**2 - 2*z**4 + 146*z**2 - 1 to the form f*z**4 + q*z**3 + v + a*z**2 + b*z and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i - 26 = 4*i + 5*w, 10 = 5*w. What is the remainder when 501 is divided by i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 4*p + 1, 0*p + 7 = 2*g - 3*p. Let w(o) = -g*o - 10 + 58*o**2 - 49*o**2 + 5*o. Let u(v) = -3*v**2 + 3. Give -7*u(r) - 2*w(r).\nAnswer: 3*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 2*r + 244 = 0, -15 = 4*r - 7*r. Let k = -78 + v. What is the remainder when k is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -112.\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 + 8.899. What is a rounded to two decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 2 w, and 1 x when four letters picked without replacement from {w: 2, j: 3, x: 1, y: 1, a: 13}?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4320 and 7920.\nAnswer: 47520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17941*i**4 + 3*i**2*n**2 - 3*i*n - 5*i - 4*n**2 + 604 wrt i.\nAnswer: 215292*i**2 + 6*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2063 - -4?\nAnswer: 2067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (33\/6)\/11 - (-14)\/(-8). Let q = -37\/36 - v. Let g be ((-1)\/(-12))\/((-2)\/4). What is the second smallest value in g, 0.2, q?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11676 is divided by 177.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -55 - -121. Suppose -3*g - 90 = s. Let o = -8 - g. List the prime factors of o.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 583276 is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -335351555 - 13?\nAnswer: -335352012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -52\/27 and 107\/5274456.\nAnswer: 47470104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -25*s. Suppose q + 11 = -3*k, -5*q + 3 - 13 = 0. Let b(z) = 2. Let i(y) = -y - 1. Let c(o) = k*b(o) - 6*i(o). Give c(f(v)).\nAnswer: -150*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 - 7*o**2 + 7*o - 6. Let w be l(6). Let t(q) = -q**2 + q + 63. List the prime factors of t(w).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -v + 3*c - 6, -5*v = 5*c + 2 + 8 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (((-18)\/36)\/(1\/2))\/(-3). Let h(t) be the second derivative of 26*t + 0*t**2 + a*t**3 + 0. Let z(i) = -12*i. Calculate h(z(g)).\nAnswer: -24*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w - 4. Let q(z) = -128*z + 10. Give -3*i(d) - q(d).\nAnswer: 131*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -33*((-2784781)\/1211 - (-4)\/(-42)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 - 11.2. Let i = 8.19999957 + l. Round i to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23599, 47226, 70901, 94648, 118491?\nAnswer: 142454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n**3 + 2*n**3 + 2*n**3)*(2*n**2 - 2*n**2 + 2*n**2) + 30 - 12*n**5 - 30.\nAnswer: -10*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 165.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -890, -3563, -8020, -14261, -22286?\nAnswer: -32095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -12744 - -1?\nAnswer: -12743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*t - t + 4*t + (10 + 0 - 28)*(37 - 37 - 7*t) to the form q + d*t and give d.\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7 + 23 - 19) + (9 - -3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -35 (b) 0.646 (c) 2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 - 8*j - 19. Let x be h(14). Let d = -24 + x. List the prime factors of d.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 - 2)*(-2*f + 2*f + f**3) + (7*f - 3*f - 2*f)*(-4*f**2 + 3*f**2 + 2*f**2) - 4*f**3 + 6 - 6.\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*c + 2 - 6 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6 - 1\/(1\/2). Differentiate 4*g**4 + 56 - 14*g**4 + g**q + g**2 + 10*g**4 with respect to g.\nAnswer: 4*g**3 + 2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 348 by 1.\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -1167*l**2 + 27*l - 2322. Let h(q) = 167*q**2 - 4*q + 331. Let i(s) = 27*h(s) + 4*p(s). Differentiate i(c) with respect to c.\nAnswer: -318*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -17*w - 414. Suppose 12 = -2*m + 6*m. What is the remainder when ((-10)\/m)\/(2\/(-12)) is divided by n(-25)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1562949613 from -110.1.\nAnswer: -1562949723.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -268 + 265. Put 3\/5, b, 0.1 in decreasing order.\nAnswer: 3\/5, 0.1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 78*z + 34. Let m be k(2). Let d = 411 - m. Is 13 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.29 - -1.289913. What is j rounded to 5 dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.11 + -5.11. What is the closest to 8\/11 in 2\/5, o, 1\/11?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 18698 = -2*b, -29*b + 33*b + 5*y = 37344. Is b a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 2*q - 3*u - 118, 4*q = -4*u + 372. Suppose -2*p = -4*t + 13 - 177, -q = -p + 4*t. Calculate the highest common factor of p and 114.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -19\/5, -12, 2\/3, -2\/9, -6?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 1, 5, 7.\nAnswer: 1, 5, 7, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*g - 132036 = -68*g. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 146 + 8. Let r(q) = 13*q**2 - q. Suppose -3 + 13 = 2*m - 3*n, 3*n = 4*m - 8. Let p be r(m). Calculate the greatest common divisor of p and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5633805 and 3330.\nAnswer: 555","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 39 + -311?\nAnswer: -294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 3. What is the tens digit of (-2 + 3)\/(d\/(-25))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 388 is divided by 65.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28 - -34. Find the second derivative of -l - 2*j**2 + 17*j + 7*j + 6 wrt j.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -450 or -452?\nAnswer: -452","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (18 + -15 - 6) + ((-7 - 5) + 5 - -63)?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31550?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11 - o**4 - 22 + o + 4*o**4 - 9*o**3 - 5*o + 3 wrt o.\nAnswer: 36*o**2 - 54*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13430197 rounded to the nearest 1000?\nAnswer: -13430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -40*d + 49*d - 828. Suppose -79*w + d*w - 26 = 0. Determine f, given that -1\/5*f**3 - 2\/5*f - f**w + 8\/5 = 0.\nAnswer: -4, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2. Let v be 0*(1\/(-2))\/(-1). Let s(j) = 6*j - 9*j + v*j. Determine s(f(r)).\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/7, -47, 98.5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 5*g - 820, 3*g + j + 155 - 643 = 0. Suppose -5*v - 156 = -m, m = -0*m - v + g. Is m a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of -7*v**5\/60 + v**4\/6 - v**3\/3 - 4. Let d(k) be the third derivative of o(k). What is the units digit of d(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 371 is divided by 32.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(((m*m\/(m*m*m**4)*m)\/m*m)\/m)*(m**5*m)\/m*m)**(-2\/49)\/((m**1)**30\/(m**(-1\/7)*m*(m**(-3)*m)\/m)) assuming m is positive.\nAnswer: m**(-1597\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a (base 14) to base 6.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16007950163 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5034 - -51. Let h = r + -644. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 + 8*j - 9. Suppose 0*q - 26 = 2*f + 2*q, 4*f - q = -32. Let v be s(f). Solve -d + 6*d - 3*x = v, 5*x = 3*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, i: 2, y: 5}. Give prob of picking 2 i and 1 y.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 4) in base 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-f - f - 2*f + (-4*f - f + 2*f)*(0 + 1 - 3))*(4 - f**3 - 4) to the form m*f**3 + c*f**2 + h*f + k*f**4 + g and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a centimeter in millimeters?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(3\/5)\/g)**(4\/11) assuming g is positive.\nAnswer: g**(-8\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + d5?\nAnswer: d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*b + 33*b - 98*b)*(-5*b**2 - 5*b**2 + 12*b**2).\nAnswer: -120*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - 7. Suppose -c - l*g = -5*c + 94, -3*c + 2*g = -71. Solve -5*q + c = 8 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.92 + 0.071.\nAnswer: -3.849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 139*f - 141*f. Let k(q) = -q + 4. Calculate the remainder when f is divided by k(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 12*m**2 + 17*m - 16. Let w(i) = -4*i**2 - 6*i + 5. Calculate -6*p(a) - 17*w(a).\nAnswer: -4*a**2 + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -1478*s**2. Let t(n) = 19*n. Determine b(t(q)).\nAnswer: -533558*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0 from -334205.82151.\nAnswer: -334205.82151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of -20*w**3\/3 - 4*w**2 + 2*w. Let c(j) = -j**3 + 9*j**2 - 10*j + 14. Let i be c(8). List the prime factors of x(i).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0004036025 to five dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 732 + -733. Which is the third biggest value? (a) -2\/11 (b) i (c) -4 (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.025 + -8.71913?\nAnswer: -8.74413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -51\nAnswer: -255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2840?\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2754581*2\nAnswer: -5509162","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187)*1*-2 + 1*-2*sqrt(187))\/((sqrt(99) + (sqrt(99) - (2*sqrt(99) + sqrt(99))*3))\/sqrt(9)).\nAnswer: 4*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of b**4\/3 + b**3\/3 + 18*b**2. Let x(j) = 8*j + 3. Let r(g) = 4*m(g) - 3*x(g). Let v(z) = 4*z + 4*z - 9*z. Determine r(v(y)).\nAnswer: -8*y - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 62493 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 58 - 14375*h + 77 - 204 + 69 in the form s + u*h and give u.\nAnswer: -14375","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/145056 and 65\/580224.\nAnswer: 580224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h - 24 = 5*h - u, h - u = 6. Let n(s) = -s**3 + s**2 - 2*s + 2. Let d be n(2). Let w = h - d. What is the highest common divisor of 3 and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jvvzvjzz. Give prob of picking 1 v and 1 z.\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 9 = 2*s. What are the prime factors of 235\/s + (-13)\/39?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.5 and 1933.1661.\nAnswer: 1933.6661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1264)\/58 - (2845 + -2867)?\nAnswer: 6\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-30)\/(-4)*2\/5. Suppose -36*m + 4*m**3 - 16*m**3 + 11*m**v + 3*m**2 + 4*m**3 = 0. What is m?\nAnswer: -4, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 112*a**2 - 1675*a + 10. Calculate s(15).\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**3\/3 - 56*u**2 + 1405*u + 4384\/3 = 0. Calculate u.\nAnswer: -1, 32, 137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w + 2. Let m(q) = 3*q + 4. Let p be m(-4). Let k = p + 6. Let h = -4 - k. Calculate g(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) -1\/6 (b) -0.1 (c) -19 (d) -4 (e) -1.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12\/(-1) + 20*(-20)\/(-100). Let v(o) = -o**2 - 5*o + 27. Give v(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4427?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 17746835 to the power of 1\/3, to the nearest integer?\nAnswer: 261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**2. Let j(n) be the first derivative of -4*n**3\/3 + 12. Determine j(m(y)).\nAnswer: -4*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6 + -17*15\/40. Which is the biggest value? (a) -0.2 (b) s (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7949 - 278*d**2 + 7949 as j + o*d + z*d**2 and give z.\nAnswer: -278","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - 2*f**2)*(-6 + 6 + 4*f) + (-f**3 - f**3 + 4*f**3)*(0 + 0 + 2)*(299 - 65 + 142) to p*f**3 + l*f**2 + r + m*f and give p.\nAnswer: 1496","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**4 + 1652412*f**3 - 341390787818*f**2 + 34126686691800*f - 853063904045000.\nAnswer: -2*(f - 413053)**2*(f - 50)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 13667096, 13667125, 13667180, 13667267, 13667392, 13667561?\n\"Answer: y**3 + 7*y**2 + y + 13667087","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30*(-26)\/1300)\/(3\/2)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 3)*(-4*r + 5*r + r)*(0 + r + 0).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 186*d - 1. Let z(n) = -375*n + 1. Calculate -5*r(h) - 3*z(h).\nAnswer: 195*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 38 + -38. Suppose t*r + 2*r - 3*u = 352, 2*u = -4*r + 704. What are the prime factors of r?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125 is divided by 68?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -51*v**3 + 6*v + 8. Let m be 512\/(-576)*(8 - -1). Let g(z) = 34*z**3 - 4*z - 5. Give m*g(n) - 5*w(n).\nAnswer: -17*n**3 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 41 = -16*w, 2*w = -305645*u + 305644*u + 1 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a\/(a*a\/a**6))\/(a\/a**(-1\/28)))\/(a**11*a**5\/a))**(5\/17))**(-44) assuming a is positive.\nAnswer: a**(16995\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -52 - -57. Let a be 6\/(-21) - (-60)\/14. Suppose 2*z - 2*f = 4, a*f + 6 = v*z - 5. What is the greatest common divisor of z and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.03, -0.85, -1211, 0.4?\nAnswer: -1211","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 603\/7 - 86. Let k = -30 - -31. Let t = -0.04 + 0.34. Which is the third biggest value? (a) g (b) t (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 9 = -r, -r + 5 - 2 = 2*w. What is the third derivative of -w*g - 17*g**6 + 105*g**2 - 83*g**2 + 2*g wrt g?\nAnswer: -2040*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a**5 - 1134*a**3 - 2*a**2 - 202*a wrt a?\nAnswer: -60*a**2 - 6804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 13*c**2 + c + 1. Let w be (-2)\/6*(-1 - -4). Is 13 a factor of g(w)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 - 7*x**2 - 261*x - 21. What is n(-13)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of -b**6\/135 - 31*b**5\/15 - 299*b**4\/2 + 1984*b**3 - 9216*b**2 - 601*b. Let n(y) = 0. Calculate y.\nAnswer: -96, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116319363533 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -83852, 3, 1, 11 in ascending order.\nAnswer: -83852, 1, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-4\/5))**20)**(3\/2) assuming a is positive.\nAnswer: a**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 32 in 755, 0.2, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 145698190?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3675089 divided by -2?\nAnswer: -3675089\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -48 != -45?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + -2110?\nAnswer: -2120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94.2155 years to centuries.\nAnswer: 0.942155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -3540 to the nearest 100.\nAnswer: -3500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h. Let q(j) be the second derivative of -15*j - 5\/3*j**4 - 3\/10*j**5 + 0*j**2 - 4\/3*j**3 + 0. Let p(w) = q(w) - 2*s(w). Factor p(y).\nAnswer: -2*y*(y + 3)*(3*y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 725 and 360760?\nAnswer: 1803800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 10*q - 140. Let n = q + -10. Suppose s = 2 + n. What is the remainder when 66 is divided by s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, -3.34, 2\/3, 0.4.\nAnswer: -3.34, -1\/6, 0.4, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jeccqgc. What is prob of picking 1 j and 1 c?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 5*f**2 + 47*f + 1217. Is u(-34) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v + 2*v + 25*v.\nAnswer: 24*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -188 - -188. Sort -1.2, -2, 5, m in descending order.\nAnswer: 5, m, -1.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vyfyvyyyyypypyyp. Give prob of sequence pvf.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 56 * -11556.\nAnswer: -647136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(128) + -1 + -5 + 0)**2 + 4.\nAnswer: -128*sqrt(2) + 196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 + 24*x**2 - 2*x - 4. Let v be z(24). Let u be (-2)\/(-20)*v\/26. Which is the smallest value? (a) u (b) -0.1 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*h + 2*h - 2*h)*(0*h - 2*h - h + (4*h - h - 2*h)*(-3 + 0 + 2) + 0*h - 2*h + h).\nAnswer: -15*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -258, 0, -4, 4, -5 in descending order.\nAnswer: 4, 0, -4, -5, -258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 7, 47, 139, 307, 575?\n\"Answer: 4*c**3 + 2*c**2 + 6*c - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1140, -1117, -1094, -1071?\nAnswer: -1048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*l**2 - 1268*l - 848.\nAnswer: 2*(l - 212)*(3*l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-246)\/24 - 2\/(-8). Let q be (-693)\/(-55) + 6\/f. Let n = q + 6. What are the prime factors of n?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 270.8 + -329. Let w = o + 58. Let v = 7 + -4. What is the second smallest value in v, -20, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + (-3 - -3) + 2. Let a be 2 + 2 + 9 + 2. Suppose -4*f = 3*d + 16, -f - a = 3*d + 2*f. Put s, d, 5 in decreasing order.\nAnswer: 5, s, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23 + -23.3. Let g = -3 + 3.08. Let j(h) = h**2 - 702*h - 3536. Let b be j(-5). What is the second smallest value in 1, t, b, g?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 74*n**4 + 5*n - 12. Let q(m) = 75*m**4 + 6*m - 10. Let u = 122 + -128. Let t(o) = u*d(o) + 5*q(o). Differentiate t(w) with respect to w.\nAnswer: -276*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15 - (1710\/(-81))\/(-38)) + 14?\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 8*x = -13*x - 4393, -4378 = -4*b + 2*x. What is the tens digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -7*i**2 + 5*i. Let f(b) = -10*b**2 + 7*b. Suppose -45 = 5*x + 5*t, 11 + 12 = -3*x - t. Let v(d) = x*s(d) + 5*f(d). Let m(k) = k. Calculate v(m(r)).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 + 7\/6 + 49\/(-42). What is the nearest to v in 0.4, -2\/3, -0.06?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 AM and 3:35 PM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -10 + (-21)\/1680*-730\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 7*f. Let r be h(1). Let t(a) = 4*a + 4 + 2*a - r*a + 0*a. Let x(q) = -q + 3. Give -3*t(y) + 4*x(y).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u**(-3\/4)*u*u)*u)\/u*u*(u\/(u**(-4)*u)*u)\/u)\/(u**(-7)\/u*u**(-8\/5)) assuming u is positive.\nAnswer: u**(287\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of 0*q**3 - 1\/30*q**5 + 0 + 0*q - 3*q**2 + 0*q**4. Let r(b) = 40*b. What is r(h(z))?\nAnswer: -80*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*v - 4, 0 = -5*y - 2*v + 78 - 6. Suppose -6*n = 8*n + y. Sort 50, 4, n in decreasing order.\nAnswer: 50, 4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -23 + 46 + (-3 - -12) + -10 + (-9 - -2).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttnttntttnt. What is prob of sequence tt?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z - 4*z - 3*z + 0*z. Let u be k(-1). Let d(v) = 3*v + 6. Is 10 a factor of d(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 + 10*z**2 + 19*z - 9. Let y be q(-7). Suppose 0 = y*r + 48 - 58. Solve -r*u = u + 9 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 215994?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -571 - -536. Sort -1, o, 1 in decreasing order.\nAnswer: 1, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 3230*v + 19382. Calculate g(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -23? (a) 3\/2 (b) 0.2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + -0.5. What is the nearest to 0.1 in 2\/7, j, 1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/3248 and -50\/2233.\nAnswer: 35728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -150*h = 25*i - 153*h - 177 + 5, 4*h + 45 + 21 = 10*i for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.17862664 to 1 dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 7*d - 10*d - 3*d**4 - d as j + m*d**4 + z*d**2 + l*d**3 + v*d and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 - 9*d**2 - 8*d + 5. Let b be y(-8). Suppose -5*k + 22 = b*f + 2, -4*k = -4*f. Find the first derivative of -5 + 3*q**4 + k - q**4 wrt q.\nAnswer: 8*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 25, 15, -15, -77, -183, -345, -575, -885?\n\"Answer: -2*m**3 + 2*m**2 - 2*m + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16177684?\nAnswer: 2, 4044421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14292797 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one fifths of a milligram in micrograms?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 85\/17178 and -32\/49?\nAnswer: 120246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -1\/7 (c) -7 (d) 36597\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 4. Suppose -2*l + 6 = 2*l + s*g, 0 = 5*g + 25. Suppose -l*h - 34 = -126. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -160698637.\nAnswer: 4\/160698637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9732.4 rounded to the nearest one hundred?\nAnswer: 9700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 AM and 12:37 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qnkk when four letters picked without replacement from {n: 2, q: 2, y: 5, k: 4, r: 4}.\nAnswer: 1\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k - 20*g - 37 = -16*g, -30 = -2*k + 4*g for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10605 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 10) to base 16\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -5412 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 123744359 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 4*h**3 - 392*h**2 + 6596*h + 6992 = 0.\nAnswer: -1, 23, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5 + 7. Let j(u) be the third derivative of 0*u**6 - 1\/210*u**7 + 1\/60*u**5 + 0*u**4 - u**s + 0*u + 0 + 0*u**3. Find the third derivative of j(r) wrt r.\nAnswer: -24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168 = 2*v - 158. Suppose -4*t + 194 = 5*w, -2*w - v = -3*t - 29. Does 21 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3204*h - 14001 + 55653 = 0 for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 4548259.808 to the nearest ten thousand.\nAnswer: 4550000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 3405 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 11 + -102 - -81 - 26\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-511)\/(-14)*(-2720)\/3230 - -31.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 + 10. Which is the smallest value? (a) s (b) -1\/2 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 16 = 0, -10*x + 12*x + 2*f = 0. Suppose 0 = 3*o - x*u - 98, -2*o = -7*o + 5*u + 170. Calculate the remainder when o is divided by (6 + -2)\/2*10.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.305 - -0.148. Let v = p - -0.295. Round v to 2 dps.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5979, 1, 3.\nAnswer: 1, 3, 5979","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.49 - -0.51148. Round g to three decimal places.\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -3, 0.048, 0?\nAnswer: 0.048","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4*2)\/((-5)\/(-10)). Let g be -6*((-9)\/6 - -1). Suppose g*m - o = -2*o, 5*o + x = m. Let w(r) = 4*r**2 + r - 1. Determine w(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 + 5*y - 2. Let w be n(-6). Suppose -w*p = -m + 16, -5*m = -p + 13 - 74. What is the remainder when 23 is divided by m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -21 + 24. Let r = 58 + -25. Calculate the highest common divisor of m and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of y**6\/120 - y**5\/30 + y**4\/3 + 2*y**3\/3 + 14*y**2 + 1. Calculate the least common multiple of r(4) and 4.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 2*t = -228 + 220, 4*v - 5*t + 6 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.11 - 16.19. Round u to the nearest integer.\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 60 - 65. Let s(o) = -o**2 + 2*o + 3. Let u(d) = -d**2 + d + 2. What is c*u(j) + 4*s(j)?\nAnswer: j**2 + 3*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 4*f**5 - 3620*f**4 + 817212*f**3 + 820836*f**2 = 0.\nAnswer: -1, 0, 453","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 62\/3 and (0 - (-18)\/32)\/(117\/(-780))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -2.36, 4, -2\/3, -3\/10?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81 - 54 = 45*x. Is (x + -4)\/(5\/(-2005)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lrr when three letters picked without replacement from {r: 2, l: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 41 = 25*h + 104, 4*h - 68 = 3*p for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 107704.0692us in weeks?\nAnswer: 0.000000178082125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4573614 and 92994.\nAnswer: 50309754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**7\/(v**(-2\/11)*v))**(-12\/11)\/((v**(-1)*((v\/(v*v*v\/(v\/v**(-1\/9))*v*v*v))\/v*v)\/v*v)\/(v*v**(-1))**(-11)) assuming v is positive.\nAnswer: v**(-2020\/1089)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(1300)*-5)**2 - (-2 + -5 + sqrt(1300))**2.\nAnswer: 40*sqrt(13) + 31152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i**3 + 3363*i**4 + 3*i - 3345*i**4 + 2*i**3 - 3*i**3 - 3 - 2 as u + s*i**3 + n*i**2 + y*i**4 + x*i and give y.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express i**2 - 2*i**4 + 2 + 2*i**3 + 0*i**3 - i**4 - 2*i + 4*i + 2*i**2 in the form k*i**3 + q + p*i**2 + c*i**4 + b*i and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 381161, 381125, 381081, 381029, 380969?\n\"Answer: -4*i**2 - 24*i + 381189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 60 + -57. Let r(b) = 11*b - 6. Let m be r(d). Suppose -43 = -4*v - m. Solve 2*g = -i + 8, -i = 5*g - 4*g - v for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w + 6*w - 12. What is the derivative of 12*g**2 + 0*g**w - 11 - 2 + 11*g**2 wrt g?\nAnswer: 46*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/56 and 43\/52.\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 129.5 + -130. Which is the nearest to -1.3? (a) v (b) 2\/9 (c) 2 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 641604 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 - 20 = 2*q. Let d = q + -7. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/60*10*(-18)\/(-48)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 231 (base 5) to base 6\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -3*i**3 + 20472*i**2 - 61389*i = 0.\nAnswer: 0, 3, 6821","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 126598 is divided by 1173?\nAnswer: 1087","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of -2*x**3\/3 - 3*x**2\/2 + 2*x - 1495. Calculate n(7).\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of -3 - 2*s**2 - 1\/20*s**5 + 0*s + 7\/48*s**4 - 1\/240*s**6 + 0*s**3. Factor u(f).\nAnswer: -f*(f - 1)*(f + 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 8:46 AM?\nAnswer: 9:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.318? (a) 3 (b) 4\/3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 148 divide 631516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -354359*n*v**3 + 280*n*v**2 + 2*n*v - 295*n wrt v.\nAnswer: -2126154*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 953639.4 days?\nAnswer: 1373240736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15893 = 77*n - 16586. Solve -2*u - 4*r = -35 + n, 3*u - 4*r + 1 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-14916\nAnswer: 7458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0*((-26)\/8)\/(-13). Let d(y) be the second derivative of 1\/20*y**5 + 0*y**3 - 1\/12*y**4 + 0 + y + a*y**2. Find the third derivative of d(f) wrt f.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12313 plus 0.1?\nAnswer: -12312.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1132604, 1132616, 1132654, 1132730, 1132856?\n\"Answer: 2*n**3 + n**2 - 5*n + 1132606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1677524677 to the nearest integer?\nAnswer: 40958","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -193.779422 + 193.253. Let j = -156.441178 + z. Let h = j - -157. Round h to three dps.\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26119 (base 14) to base 16.\nAnswer: 16d4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1401546403 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 2 k, and 1 t when four letters picked without replacement from gkskkgkt.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 24 and 222810012?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 420 = -4*c, 4*c + 4 = -3*z + 248. Let o = z + -83. Suppose v - 162 = -2*b + o*v, 3*v - 9 = 0. Does 7 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*n + 630*n + 1574*n + 1816*n - 881*n to the form p*n + c and give p.\nAnswer: 3157","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.8 - -1.3. Let u = -1 + 1.1. Let i(r) = r - 8. Let v be i(5). Which is the closest to v? (a) p (b) u (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y**3 - 30*y**2 + 5*y - 171. List the prime factors of f(34).\nAnswer: 3, 23, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1913*l + 700*l + 523*l + 687*l.\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28121806 and 2802?\nAnswer: 934","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25 - n**4 - 66*n + 65*n + 12*n**3 - 131*n**3 wrt n?\nAnswer: -12*n**2 - 714*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes after 7:39 PM?\nAnswer: 12:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the second derivative of -r**3\/6 - 2*r**2 - 43*r. Let y = 2 - 6. Let j be f(y). What is the second biggest value in -4, -2\/11, j?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6 and 60384720.\nAnswer: 60384720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - 1782?\nAnswer: -1786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - g - 2 - 1, 3*w - 5 = 4*g. Suppose -144 = w*r - 16*r. Calculate the least common multiple of 98 and r.\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 - -3. Let g = 4 + s. Let h = 0.2 + 0. Sort h, g, 5.\nAnswer: g, h, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 185 divide 17612925?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 9 - (3 - (-13 - -24)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 2*z + 23966 = -24203, -4*y + 3*z = -64227. Is 16053 at least y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - -3*sqrt(32)) + -2*sqrt(288) + (sqrt(200) - (4 + 0 + sqrt(200))**2) + sqrt(200).\nAnswer: -216 - 71*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -349*z - 16 - 355*z - 343*z + 1386*z - 2 - 352*z.\nAnswer: -13*z - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 11850727 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -92*287.485\nAnswer: -26448.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3326*c**2 - 3338*c**2 - 10*c - c)*(-4 + 2*c**2 + 4).\nAnswer: -24*c**4 - 22*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - -320110313?\nAnswer: 320110320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 160004228?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30 and 3315?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 + 3*n - 1 + (2*n + 3*n - n)*(0 + 1 + 1)*(-9 - 5 + 26).\nAnswer: 99*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18962 and 25574.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 12 = 0, -1063 = 4*k - d - 354 - 360 - 359 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2. Let p(m) = -2*m**3 - 29*m**2 - 41*m - 26. Let o be p(-13). Let q(c) = 3 + o - 2*c**2 + 9*c + 15*c - 3. Give q(r(v)).\nAnswer: -2*v**4 - 24*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**3 + q**3 + q**4)*(-2*q + 3*q + 2*q) - q**5 + 0*q + 0*q.\nAnswer: 2*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6131 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v + 54 = -6*i, -2111*i + 3*v = -2113*i + 21 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2*q**2. Let t(a) = -3099*a + 4. Let p(b) = -1592892*b + 2058. Let o(d) = 2*p(d) - 1029*t(d). Determine o(k(g)).\nAnswer: 6174*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 + 244 + -245 + (3 - 112)?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/22 + -17 + (-7774)\/(-286)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.142 times 7945?\nAnswer: -1128.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3.09 - -3.49. Let f = -1 + 1. What is the nearest to 0 in f, t, 5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 10) to base 15.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15440 - 7150 = -90*w. What is the remainder when w is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.244 minus -1.1481?\nAnswer: 0.9041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -63 + 38. Let f = 26 + y. Sort 2, -2\/9, f in decreasing order.\nAnswer: 2, f, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 4*d - 65 + 17 = 0, 2*t + 4*d - 32 = 0. Suppose -4*w = -t, -2*w - 11 = -k + 6*k. Put 6, 1, k in descending order.\nAnswer: 6, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -15924, -31717, -47564, -63465, -79420, -95429?\n\"Answer: -27*z**2 - 15712*z - 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -8084 (base 14) in base 16?\nAnswer: -5634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -70, -114, -194, -316, -486?\nAnswer: -710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 7:17 AM?\nAnswer: 6:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 282219866*t*z**2 + 7811*t*z + 13*z - 202 wrt z?\nAnswer: 564439732*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 2. Let t = 28.5 + -29. What is the second biggest value in t, -5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 4*m. Let r(u) = 11*u + 105. Let c(i) = i + 13. Let d(y) = -24*c(y) + 3*r(y). Give d(z(f)).\nAnswer: 36*f + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 7*k + 5. Calculate b(-4).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 625 minutes after 5:05 PM?\nAnswer: 3:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -17 + 10 - (0 + -2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2307789 (base 10) to base 3.\nAnswer: 11100020200200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14046 by 9.\nAnswer: -4682\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**2 - 9*n - 5. What is f(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2943.\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -y**3\/3 - 28*y**2 - 108*y - 320\/3 = 0.\nAnswer: -80, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*h - 29*h - 30*h.\nAnswer: -14*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -3*d**3\/5 + 111*d**2\/5 + 24*d - 228\/5 = 0.\nAnswer: -2, 1, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(108)\/sqrt(4))\/sqrt(9).\nAnswer: sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4736, 9040, 13350, 17672, 22012, 26376, 30770, 35200?\nAnswer: 39672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 2*n**2 + 9*n + 3. Let i be p(-5). Suppose 9*w - 6*w = 48. What is the greatest common factor of w and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m + 21. Let p be s(-4). Solve 9*o + p = -1 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j**3 - j**3 + 2*j**3)*(-3*j + j + j) + 3*j**4 - j + j + j**4 + 3*j**4 - 6*j**4.\nAnswer: 3*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 108, 0.2, 537, 0.24 in decreasing order.\nAnswer: 537, 108, 0.24, 0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -14935 and 162.\nAnswer: -2419470","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -15 - -26. Suppose 8*g - 4 = 6*g. Suppose -2*f - 62 = -g*i, -i - 4*f + 43 = f. Calculate the highest common divisor of k and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 - 18.9. Let x = -37\/4 + 9. What is the closest to r in -1\/5, -3, x?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-15)\/(-18)*4\/(-15). Which is the third biggest value? (a) -5\/6 (b) i (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/(23002\/8680 - 14\/10). Solve -2\/5*r**2 - 16\/5*r - z = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4*(-2)\/(-4))\/(16\/56).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 2*r - 10 = 6, 0 = 3*u - r - 14 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001767116 rounded to four dps?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 - 8*z + 13. Let p be i(-9). Find the second derivative of 2*l**3 - 4*l + l + 6*l**3 - p*l**3 wrt l.\nAnswer: 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8457 + -5795. Does 132 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-308)\/(-33)*6\/4. Solve -y = 3*a - 2 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 17\/(-68)*7\/(21\/(-36)). Suppose 5*o + w = 23, -5*o + l*w + 32 = 7*w. Suppose -4\/7*x + 18\/7*x**2 - 18\/7*x**3 + 6\/7*x**5 + 0 - 2\/7*x**o = 0. Calculate x.\nAnswer: -2, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 1440.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -12*f - 24336. Let m = f + 18163\/6. Let k = 835\/6 - 251\/2. Find the common denominator of k and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-16)\/(-18)*11 + (-8)\/(-36). Let v = -4 - -25. Suppose -v = 13*y - b*y. Let h(r) = r**3 + 6*r**2 - 7*r - 1. Determine h(y).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -6*f - f**3 + 16*f - 4 - 3*f**2 - f**2. Suppose -6*a - 32 = -4*a + 4*j, 5*a + 15 = 3*j. Calculate the remainder when z(a) is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -48 - -90. Let x = -44 - o. Let l = -53 - x. What is the remainder when l is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 818, 4, -151 in decreasing order.\nAnswer: 818, 4, -151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 5:04 AM?\nAnswer: 6:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*g - 7*g = 224. What is the third derivative of -g*n**6 - 37*n**6 + 71*n**6 + 28*n**2 wrt n?\nAnswer: 2160*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**2 + 19*l - 21. Let c be t(18). Put c, 3, 0 in ascending order.\nAnswer: c, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.0188 (b) 0.5 (c) -6\/53 (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 169 = 14. Let v = o + -23. Let d(z) = 0*z - 9*z + 3*z + v*z. Let w(b) = 10*b**2. Calculate w(d(r)).\nAnswer: 40*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -33 - (-12 - 21) - -5\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 147375*a**2 - 2800135*a + 190 = 0 for a.\nAnswer: 2\/29475, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*i - 11*i - 5*d - 23, 2*d + 10 = -2*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.107 * -33.\nAnswer: -3.531","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 + 6 - 18)*(0*m + m + 0*m)*(1 - 1 + 1).\nAnswer: -26*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(sqrt(168) - -2*sqrt(168)))\/(sqrt(7)*2*-2 - sqrt(7)))\/(4*(sqrt(300) + (sqrt(300) - sqrt(300)*2*-2) - sqrt(300))).\nAnswer: -3*sqrt(2)\/125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -4 + 4 - o + 5 - 4. Let t be c(-3). What is the biggest value in t, 5, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-3\/11))**(-1\/12) assuming y is positive.\nAnswer: y**(-7\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + y = 20. Suppose -39 = -y*d + 201. Suppose m - 13 = d. What is the tens digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 6:33 AM?\nAnswer: 4:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 50278?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**3 + 3*c**2 + 2*c + 3. Let w be r(-2). What is the units digit of (w - (-45)\/3)\/1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1414 + -2430?\nAnswer: -1011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 36 - 31. What is the second smallest value in -2, -5, r, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53*n**3 - 151*n**3 + 52*n**3.\nAnswer: -46*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u + 4*u = -4*h + 26, 40 = 4*h + 2*u. Solve -3*k = -h - 3 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 189 and 10668?\nAnswer: 96012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4\/7, -0.5, 82, -2\/3, -16\/15?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(1 + sqrt(1216) - (sqrt(19) + 1 + 2))**2.\nAnswer: -28*sqrt(19) + 935","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.1*-197337.8.\nAnswer: 217071.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0015521 rounded to five dps?\nAnswer: 0.00155","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 366 divided by -3.\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -5*t**3 - 3*t**2 - t + 2. Let h(g) = -4*g**3 - 2*g**2 - g + 2. What is 4*h(x) - 3*n(x)?\nAnswer: -x**3 + x**2 - x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.621 - -1.621. Let x be 3 + ((-45)\/21 - 0). What is the biggest value in x, -0.3, a, 0?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:17 PM and 9:27 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 3*h**2. Let l be 1 + (-6 - (0 + -2)). Let p(f) = -2*f**2 + 3. Let k(s) = 4*s**2 - 7. Let w(y) = l*k(y) - 7*p(y). What is w(i(m))?\nAnswer: 18*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of 3*n**2\/2 + 36*n + 61. Differentiate o(y) wrt y.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 477 divide 48453660?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-2)\/(48\/3)*-81 and (-214)\/(-749) - (-375)\/(-14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.9 + -1.9. Let j = -7876 - -7877. Which is the fourth smallest value? (a) 2\/5 (b) -3 (c) j (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 261444809 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 334392.8 to the nearest 10000.\nAnswer: 330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1741264542.9997 + 1741157471. Let f = 107066 + o. Let s = f - -6. Round s to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/38012 and 7\/1548?\nAnswer: 342108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 67 + -53. Suppose c*s - 17*s - 60 = 0. What are the prime factors of (-76)\/(-6)*(-30)\/s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -187 + 194. Which is the nearest to -1? (a) -1 (b) -1\/5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4210337734.\nAnswer: 2, 2105168867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 11, t: 5}. What is prob of sequence ftt?\nAnswer: 11\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (2 - 2 - 0)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(1\/4)*y)\/y)\/(y*y*y**1)*(y\/(y**1\/y*y*y))**15 assuming y is positive.\nAnswer: y**(-71\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -29*u + 14. Let r be (4\/(-10))\/((-17)\/(-425)). Let j be h(r). Calculate the greatest common factor of 19 and j.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -9*(1\/1 + 0). Let g be ((-15)\/v + -2)*-12. Suppose -12 = -2*b - g. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - (1 + -51 + 1350 + -1352)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*v**5 - 3*v**5 - v**5 + (v - v + v**2)*(-5*v**3 + 3*v**3 + 0*v**3) - v**5 + 2*v**3 - 2*v**3 + (24*v**2 + 7*v**5 - 24*v**2)*(2 - 2 + 2)*(0 + 0 - 1).\nAnswer: -16*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 + -62771?\nAnswer: -62770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*q - 2. Let l be (-1 + q)*(-3)\/6. Suppose -o - 2*i = -0 - 5, 10 = 4*o + 3*i. What is the nearest to -0.1 in o, l, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 34*k**5 + 2*k**3*v**2 + k**2*v**2 - 11*k*v**2 - v**2 - 1 wrt k.\nAnswer: 680*k**3 + 12*k*v**2 + 2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/10*(-54)\/(-324).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 divided by 6100?\nAnswer: 9\/3050","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s + 22. Let n be m(16). Let u be ((-45)\/n - 0)*2\/1. Suppose u*r = -0*r + 315. Does 14 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -184 = -4*y + 4*q, 3*y = -4*q + q + 126. Let h = 65 - 94. Let d = y + h. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(2\/9)\/(f*(f*f\/f**15)\/f*f) assuming f is positive.\nAnswer: f**(110\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -177 + 186. Calculate the least common multiple of -3*(6\/z - 4) and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86 + 436 = 70*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 17 (b) 5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 49?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 14 = 5*m, 4*w + 4*m + 4 = 0. Suppose 3960 = 8*i - 3*i - 5*s, w*i + 2*s = 2401. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 319*l - 23 + 23 = 0. Which is the nearest to l? (a) -3049 (b) 0 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3001, -11292, -24955, -43984, -68373?\nAnswer: -98116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7897c0 (base 14) to base 7.\nAnswer: 46556330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -454, -480, -520, -574, -642?\nAnswer: -724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12045120437 - 0.5.\nAnswer: -12045120437.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 5*l - 1 - 24 = 0, 5*l = -2*v - 25. Let z(o) = 26*o + v*o + 0*o - o**2 - 10*o. Let q(t) = -3*t. Give q(z(g)).\nAnswer: 3*g**2 - 48*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*t + 15*r - 8*r - 10*r - 165, -3*t - 160 = t + 4*r for t.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 5*g = -25, -4*q - 2*g + 3*g = -5. Which is the closest to q? (a) -2\/3 (b) -0.1 (c) 0.3 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-266)\/(-238) - (-2)\/(-17). Calculate the remainder when 253 is divided by 0 + -7 + 4 + j*46.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 2*a - 168 = -159, -k - 2*a - 1 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 21 = -7*z - 45, -5*z - 20 = 0 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g = -2*p - 24, -8*g + 10 = -9*g - 3*p for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -111 divided by -6\nAnswer: 37\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3387 - 3386 - (0 + -24).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w = 66*o - 65*o + 94, -11*o + 6 = 3*w for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 631553384 a multiple of 226?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18 - (1 - 0)) + 1679 + -1614?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 6261 (base 8) to base 4\nAnswer: 302301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/((-5)\/(-19)) + -2. Let m be 2\/(-6) - (-136472)\/n. Let x = -12499 - m. What is x rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h be (28\/(-49))\/(30\/21 + 0). What is the nearest to -0.1 in h, -1\/3, -4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -74, -102, -110, -98, -66, -14?\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m*m**(-26))\/m)**50 assuming m is positive.\nAnswer: m**(-1250)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1 and -0.68146.\nAnswer: -0.78146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-u - 274 + 101 + 126)*(1 + 2*u**2 - 1) to j*u**2 + k*u + c*u**3 + i and give j.\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24609 - 24607. What is the closest to -1104 in 0.2, 3\/4, -5, x?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f - 2. Let s(r) = -r**2 - 8*r - 7. Let k be s(-7). Let o(c) = -5 - 7*c**3 + 1 + 8*c**3 + c**2. Let z be o(k). What is h(z)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((4 + 0 - 3)*(-2 - 1 + 1) + (-2 + 1 + 3)*(-1 + 1 - 1) - 1 + 1 + 1 - 1 - 4 + 19)*(-3*c - 2*c + 3*c)*(6*c - 4*c + 5*c) as w*c + h + x*c**2 and give x.\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 50322 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.05, 0.3, -2.618?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2414, 5070, 7966, 11102, 14478, 18094?\n\"Answer: 120*c**2 + 2296*c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 7, m: 5, l: 4}. Give prob of picking 2 m and 2 l.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 1\/94889994?\nAnswer: 1\/94889994","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*x + 8*x - 3*y - 2067 + 2046 = 2*x, -5*y - 29 = 2*x + 6 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 13*o**2\/5 - 69*o\/10 + 9\/2 = 0.\nAnswer: 15\/13, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -27\/2061610 and 139\/8658762?\nAnswer: 43293810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, 2, 4, -5, -24 in decreasing order.\nAnswer: 28, 4, 2, -5, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = -d + 10, -d + 0 = -2*h + 2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the third derivative of r**5\/60 - r**4\/3 + r**3\/3 - 267*r**2. Determine h(8).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*n - 2*d = -4*n - 28, 4*d + 28 = 4*n. Let s = 748 - 738. Suppose s*z - 253 = n. List the prime factors of z.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -4\/5*a**2 + 0 + 1\/5*a = 0.\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5\/6? (a) -2\/13 (b) 1\/7 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -4 + -5*30\/(-25). Suppose 0 = w*j - 3*j. Factor j*d**3 - 2*d + 0*d**3 + 6 + 2*d**3 - 2*d**2 - 4.\nAnswer: 2*(d - 1)**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the third derivative of z**5\/120 - 361*z**4\/12 + 130321*z**3\/3 - 21*z**2 - 74. Factor h(x).\nAnswer: (x - 722)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.5 (b) 2\/13 (c) -809 (d) 1\/3 (e) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 5*j - 0 + 3, 0 = 4*c - 2*j - 4. Let n be 112\/32 + -3*c. Factor 2 + 0*d - 3\/2*d**2 - n*d**3.\nAnswer: -(d - 1)*(d + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from {s: 8, i: 3, p: 6}.\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 132 - 134. Which is the nearest to 13\/3? (a) i (b) 1\/6 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) -2\/29 (c) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2770466850 and -2.5?\nAnswer: 2770466847.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.39232 rounded to 0 decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r**2 + 13*r + 25. Let u(a) = -2*a**2 - 12*a - 26. Let f(q) = -2*c(q) - 3*u(q). Let y be f(-12). Let v = y + -114. Is v a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -1\/3, 0.2, 499, 3\/4 in ascending order.\nAnswer: -1\/3, 0.2, 3\/4, 16, 499","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1851 + 1830. Which is the biggest value? (a) 5 (b) i (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 smaller than 8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 10 = -0*c. Let u(x) = 17*x - 8. Let v(s) be the second derivative of -15*s - 2\/3*s**3 + s**2 + 0. Give c*u(g) - 9*v(g).\nAnswer: 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence omy when three letters picked without replacement from poypompmpkmmppk?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 54177180 to the power of 1\/3, to the nearest integer?\nAnswer: 378","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*-27)\/(((-3)\/(-39))\/((-588)\/(-3822)))?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 != 2\/763?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -61 + 236*f**2 - 238*f**2 + 843 - 3*f**2 + 4*f**2 - 3*f**2 + 5*f**2 - 2*f**2 - f**2 + (-f**2 + 5*f**2 - 2*f**2)*(1 + 2 - 1) - f**2 + 0*f**2 + 3*f**2.\nAnswer: 4*f**2 + 782","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s*s*s**4)*(s\/(s\/s**(2\/21)))\/s*(s\/((s*(s\/(s**(-2)*s))\/s)\/s))**(3\/8) assuming s is positive.\nAnswer: s**(-124\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 690450771.\nAnswer: 3, 230150257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*f - 1 = -13. Which is the closest to -0.2? (a) f (b) 1\/4 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/4)\/(j\/(j*j*j*j\/(j*(j*j**7)\/j*j*j)))*j**(-9)*j*j*j**(-5)*j)\/(j**3\/(j\/(j**8\/j*j)*j))**6 assuming j is positive.\nAnswer: j**(-289\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*f + 9*f = 0. Suppose 18*n - 7 - 65 = f. Solve 3*z - 8*m + n = -4*m, 2*m - 24 = -4*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.1 + -0.1. Let u = -45.8 + 45. Let y = 5.8 + u. Put 1, y, i in decreasing order.\nAnswer: y, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -25\nAnswer: 3\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**3 - 9*s**3 + 7*s**3 + 15*s**2 - 20.\nAnswer: -5*(s - 2)**2*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b + 20. Let f be j(-9). Differentiate -165*t**2 + 165*t**f - 2 - 3*t**4 with respect to t.\nAnswer: -12*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48*68\/4352*(-3920)\/90.\nAnswer: -98\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 77 + 23. Let r(b) = b**3 + 10*b**2 - a*b + 111*b - 4 + 3. What is the remainder when 115 is divided by r(-8)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - u + 0)*(-u**2 + 0*u**2 - 3*u**2 + u).\nAnswer: 4*u**3 - u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 75*k**5 - 27*k**5 + 26*k**5 - 2*k**4 + (k**4 + 2*k**4 - k**4)*(0 + 0 - k)*(-46 + 2 + 6).\nAnswer: 150*k**5 - 2*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 227696\/(-9488) + 21 + 3. What is the third biggest value in y, -5, -7\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-4 + (sqrt(832)*-2 - sqrt(832)) - 3*(sqrt(832)*-1)**2) + -5*(((0 + sqrt(832))*3)**2 + sqrt(832) + -1).\nAnswer: -42435 - 88*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1039778?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 - 13*v**2 - 11*v + 14. Let u be x(-12). Let d be ((-3)\/6)\/((-1)\/4). Suppose -4*f + 4*k = -52, 2*f - 5 = 3*k + 24. Solve f = -u*y + d for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 967*l - 3. Let x(q) = -56*q**2 - 146*q + 1. What is x(c(i))?\nAnswer: -52364984*i**2 + 183730*i - 65","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/4 - (-7)\/4. What is the nearest to 2\/7 in -0.4, n, -4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.11 - -0.11. Put 2, t, -5, -3\/2 in decreasing order.\nAnswer: 2, t, -3\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -17*d + 21. Let r(g) = -61*g + 61. Let s(j) = -2*r(j) + 7*v(j). Determine s(-17).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -3\/5 (b) -2 (c) 0 (d) -11\/13 (e) 8\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7392*s + 1953 - 16737 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 7\/7 + (-17 - -1). Let v(k) = -k**2 - 21*k + 14. Let d be v(f). Calculate the highest common divisor of 13 and d.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 + 47 = 18*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1150761825 to the nearest integer?\nAnswer: 33923","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*c + 575 = 27*c. Let b = c + 119. What is the lowest common multiple of b and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9967294 or 9967291?\nAnswer: 9967291","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2*d**3 - d**2 + 2*d - 2. Let p be n(1). Calculate the smallest common multiple of 8 and (-1)\/p - (2 - 17).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 r when three letters picked without replacement from inwwwrrarari.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eavattetvvjtbv. What is prob of picking 1 v and 1 e?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28782 and 54038?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a meter in millimeters?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -984*d = -633*d + 4212 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from eeeezezeeze.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -381635, -381636, -381637?\nAnswer: -381638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - 32 - 1 - (31 + -45)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 + 18*o - 74. Let l be b(10). Let i(y) = 0*y + 18 + 2*y**3 - 2*y - 6 - 8*y**2. Let s be i(l). What is the greatest common divisor of 16 and s?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 27*r + 1 = -28*r, i - r = 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, p: 3, g: 1}. What is prob of sequence gxp?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26 + -4. Let a = 4 - 2. Calculate the greatest common factor of a and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1 (b) -357 (c) 0.1 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-3*(-8)\/(-48))\/1)\/(-2)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1010240 divided by -820\nAnswer: 1232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 170 and 1530.\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (14*z + 145*z - 16*z)*(-34*z + 7*z + z) to n + u*z**2 + i*z and give u.\nAnswer: -3718","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -4*g + 34. Let m be u(8). Calculate the remainder when 2\/4*m*58 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, h: 3, a: 1, g: 5, p: 5}. Give prob of picking 2 g and 1 p.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 22200 (base 3) in base 15?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5745 - 5681. Calculate the remainder when 701 is divided by r.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 7 - 8 - (-1 + 8).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.47649 decades in millennia?\nAnswer: 0.0447649","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -211045017 or -211045015?\nAnswer: -211045015","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 36.346, -5 in decreasing order.\nAnswer: 36.346, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(7\/4)\/(t*t**4*t) assuming t is positive.\nAnswer: t**(-17\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(1 + (sqrt(175) + 1 - sqrt(175) - sqrt(175)))*3)**2 - (4 + (0 + -4 + 0 + sqrt(175))**2).\nAnswer: -1580*sqrt(7) + 14304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114035*x + 54*x**2 - 114035*x.\nAnswer: 54*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 0*x = 0. Suppose -5 = h - 3*q, 3*h + 10 = h + 2*q. Let p be h\/(10\/(-18)) + -4. Solve -5*l + p*c + 2 = -4*l, 2*c + 2 = x for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 AM and 9:10 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -352898630 divided by 5?\nAnswer: -70579726","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25293718.\nAnswer: 2, 37, 43, 7949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 132 divide 3619801?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 14*x**2 - 2588. Let z(f) = -f. Calculate o(z(y)).\nAnswer: 14*y**2 - 2588","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of h**6\/120 - h**5\/10 - h**4\/6 - 7*h**3\/6 + 15*h**2. Give m(6).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 - 6*s**2 + 12*s + 8. Let c be r(4). Solve 0 = -3*l + c - 33 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -74*g**2 + 74*g**2 - 5*g**3 + 12*g**3.\nAnswer: 7*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 0, -23, 24, 7 in decreasing order.\nAnswer: 24, 7, 2, 0, -2, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 2*r**3 + 3*r**2 + 2*r + 2. Let c(f) = 5*f**3 + 6*f**2 + 4*f + 5. Let y(v) = 3*c(v) - 7*g(v). Let p be y(4). Solve -5*m = -p - 11 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -1326*b**3 + 6*b**2 - 3*b + 3. Let j(q) = 2556525*q**3 - 11570*q**2 + 5785*q - 5785. Calculate -6*j(z) - 11570*p(z).\nAnswer: 2670*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((7 + 297\/(-45))*(-1110)\/(-12))\/(-5 - -10).\nAnswer: 37\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 + -1)\/(-4 - -7 - 4). Suppose -4*i = g*d - 170, -3*d + 162 = -d - 4*i. What are the prime factors of d?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -443*b**3*f + 4476*b**3 + 14*b**2*f**2 + 4*b**2 + 4*b + 2*f**2 wrt f?\nAnswer: -443*b**3 + 28*b**2*f + 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 15 (b) 9\/5 (c) -4 (d) -0.4 (e) 910 (f) 0\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10955*n - 7137*n - 53199*n + 1 - 5*n**2 - 282384*n.\nAnswer: -5*n**2 - 353675*n + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.55032 times -59?\nAnswer: 32.46888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**2 + 0*l**2 + 3*l**2)*(-3*l + 5*l - 4*l) - 92*l**3 + 50*l**3 - 206*l**2 + 38*l**3.\nAnswer: -10*l**3 - 206*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (-15 + (-2 - (17 + -14)) + 71)?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*o**5*p + 2*o**3*v + 2*o**2*p + o**2 + 3*o*p - p*v - 2*p + v wrt o.\nAnswer: -160*o**3*p + 12*o*v + 4*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2121 + 2202. What is the smallest common multiple of q and 63?\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2.27 - -0.32. Round s to 1 dp.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((8\/16)\/(3\/18))\/((-1)\/(-3)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 643311526?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 243212662.\nAnswer: 2, 7, 11, 143573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 - 13*n - 7. Let r(a) = -7*a - 4. Calculate 4*b(v) - 7*r(v).\nAnswer: -4*v**2 - 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 725, 2906, 6539, 11624, 18161, 26150, 35591?\n\"Answer: 726*k**2 + 3*k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of 32*k**3\/3 + 3*k - 42. Let z(j) = -j**2. Calculate z(s(v)).\nAnswer: -1024*v**4 - 192*v**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z**4 - 106*z**2 - 665 + 170 - 3*z**3 + 4*z**3 + 105*z**2 to the form n*z**4 + h*z + f + l*z**3 + p*z**2 and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 42\/11 not equal to -1185?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/4, 5.2328, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1278 = 25*h - 43*h. What is the remainder when h is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1705 less than -260573149?\nAnswer: -260571444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26199 is divided by 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-6*(sqrt(68) - (sqrt(68) + sqrt(68) + -1*sqrt(68))))\/(sqrt(4) - sqrt(4)*2*6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3035 is divided by 62.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 46, 0.3, -0.4, -0.2 in ascending order.\nAnswer: -0.4, -0.2, 0.3, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) 1\/143 (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -2*w + 6. Let r(o) = -4*o - 2. Let d be r(-2). Suppose -4*t - 7*y + 12*y = 5, 0 = -4*t - 2*y + 30. Let c be t*6\/9*d\/4. Calculate h(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -99*x + x**3 + 99*x + 21.\nAnswer: x**3 + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u + u - 3*u)*(5270 - 5290 + 19636).\nAnswer: 19616*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 84373445 less than -4750369?\nAnswer: -89123814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cr when two letters picked without replacement from {c: 4, r: 7}.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 8:19 PM?\nAnswer: 5:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -0*v + v + 1510, 3*v - 1025 = 2*b. Let p = 1957\/4 + b. Find the common denominator of p and 61\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0297 + 0.03. Round u to five dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10619289 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 + 32 - (-2 - -9).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2259*p + 28*p**2 - 2259*p. Let d(a) be the first derivative of a**2\/2 + 4. Calculate d(k(t)).\nAnswer: 28*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 7:12 AM?\nAnswer: 3:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 24363290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -14 + 12. Suppose -1 - a*r**3 - 2 - 3*r**3 - 9*r - 9*r**2 + 2*r**3 = 0. What is r?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 660 = -76*s + 73*s. Are -1767\/8 and s unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**10)**(-47)\/(((q*q\/(q\/(q\/(q\/q**(7\/3))))*q)\/q*q)\/q)**4 assuming q is positive.\nAnswer: q**(-1450\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -18947 * -0.08\nAnswer: 1515.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2230.6 + -2462. Let n = k + 348. What is n rounded to the nearest 10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, -5, 0, 0.05, 2\/139?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:16 AM and 11:55 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6 - 2) + ((-9)\/(-3) - 9). Let w(a) = 3*a**2. Let p(x) = 2*x**2. Let r(g) = h*p(g) + w(g). Let f(z) = 4*z - 5*z + 4*z. Give f(r(o)).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -152803, -305393, -457983, -610573, -763163, -915753?\n\"Answer: -152590*u - 213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -159 - -295. Is 7 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27359 is divided by 1508.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/(-9) + 20\/12. What are the prime factors of 5\/g*(-136)\/(-20)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1771 is divided by 1751.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 3*k**3 - 12*k**2 + 1200*k - 6003. Give u(5).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1016 = 4*h - 4*b, -4*h - 3*b - 739 - 291 = 0. Let n be ((-1)\/10)\/(h\/240). Suppose -m = -0*m. Which is bigger: n or m?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a (base 14) in base 6?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(147) - (sqrt(147) - (-1 + sqrt(147) + -1))) + 0)**2.\nAnswer: -84*sqrt(3) + 453","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 299\/7*n**2 + 102\/7*n**3 + 1\/7*n**4 + 198\/7*n + 0 = 0. Calculate n.\nAnswer: -99, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 3*q = 5, -2*m - 11 - 19 = 4*q for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 821?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of -4*z**5\/5 - 2*z**4 + 92*z**3\/3 - 24*z**2 - 144*z - 200. Solve v(l) = 0 for l.\nAnswer: -6, -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 219 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.41*113568.\nAnswer: 160130.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3767*s**2 - 1895*s - 2.\nAnswer: 7534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7 - 18 - 12 + 7*u + (0 + 0 + 1)*(-4*u - 15 + 15).\nAnswer: 3*u - 23","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -751*b**5 - 2522*b**2 wrt b.\nAnswer: -45060*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -919*q**3 - 2*q**2. Let d(s) = 1837*s**3 + 5*s**2. Calculate 2*d(l) + 5*g(l).\nAnswer: -921*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4\/18 - (-3 - 642\/27) and 9?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1264*r - 1262*r + 2*v = 12, -3*v + 28 = 4*r for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 - 3244?\nAnswer: -3245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1895521048?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -187*t**3 + 524*t**3 + 266*t**2 + 514*t**3 + 89*t**2 + 599*t**2 wrt t.\nAnswer: 5106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3985 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 291543 and 819?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -177 + 261. Let j(m) = m**2 + 3*m - 18. Let f be j(-6). What is the hundreds digit of (-2)\/8 + f - (-16821)\/n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 56 and 98.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the third derivative of 0*s - 1\/30*s**5 + 0*s**4 + 0 + 0*s**3 + 3*s**2. Let q(n) = -4*n. What is d(q(i))?\nAnswer: -32*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 - 14 = 8*c. What is the common denominator of -33\/10 and (-1)\/(-3*c) - (-735)\/6426?\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 35586747?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express i + 0*i - 4*i + i + 0*i - 123 as o*i + c and give c.\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*p - 167*p + 14 - 9 - 5 - 70*p.\nAnswer: -196*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29 - 24. Suppose -i*g = -9*g. Suppose j + 2*j - 174 = g. List the prime factors of j.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 169677?\nAnswer: 3, 17, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 132050?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 228 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*(c**(-3)\/c)\/c)*c*c)\/c)\/c**(-5)*((c*c**(3\/8)*c*c)\/c)\/c**(-3)*(c*c\/(c\/c**(7\/5))*c**(-9))\/(c\/(c\/(c**(1\/3)*c)))**(4\/3) assuming c is positive.\nAnswer: c**(2879\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 5 - ((-2 - -3) + -2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16*c - 2*c**2 - 17182 + 17182 wrt c.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112327 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*p + 2*p, -3*p = 13*k + 2*p - 11 - 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 + 3*s - 10. Let k = 47 + -52. Let j be z(k). Solve a = 4*a + 2*l + 6, j = -3*a + l - 6 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12\/(-4)*-6*7768\/36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 403 (base 14) to base 4.\nAnswer: 30103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 217, 198, 151, 64, -75, -278, -557, -924?\nAnswer: -1391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 78902, 78988, 79132, 79334, 79594?\n\"Answer: 29*p**2 - p + 78874","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -5*p**3 - 40*p**2 + 5*p + 40 = 0.\nAnswer: -8, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13610 + -12821. Calculate the remainder when v is divided by 71.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 27530967?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = -w - w. Suppose 2 - 12 = -f - 3*o, -5*o - 50 = -5*f. Calculate the smallest common multiple of w and f.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 188*3.\nAnswer: 564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16967*t + 42648.\nAnswer: -16967","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -5\/2 (b) -4 (c) -72 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1629*f**2\/4 + 1743*f\/4 - 57\/2.\nAnswer: -3*(f - 1)*(543*f - 38)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2381.\nAnswer: 2381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 5*w**2. Let v(l) = -11329*l + 5662*l - 3 + 5663*l. Calculate x(v(z)).\nAnswer: 80*z**2 + 120*z + 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n**2 - n**2 - 5*n**2)*(19*n**2 - 2*n - 8*n**2 + 0*n)*(1 + 8 - 3).\nAnswer: -264*n**4 + 48*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*g + 12*g - 11*g.\nAnswer: -14*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 222131 + -32?\nAnswer: 222033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 31185 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: 1 + -2 - (11 + -6 + -11)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*t**4 - 4*t**2 + 4*t**2 + (4*t**3 - 2*t**3 - 4*t**3)*(4 - 4 - 2*t) - t**4 + 1 - 1 + 2*t**4 + 0*t**4 + 2*t**4.\nAnswer: t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 4*c - 1. Let q be d(4). Suppose -q = g - 6*g. Suppose -2*b - 42 = -g*b. Calculate the highest common factor of b and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27234)\/(-2314)*2\/(-6) + 4.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -51*y + 114. Let k be u(1). What is the greatest common factor of 14 and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 36\/7 and -8\/43705701.\nAnswer: 305939907","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 1. Let m = 10 - 5. Suppose 0 = 5*h - a - m, -h + 4*a = 2*a + 8. Let t(o) = 9 - h*o + 8 - 19. Give -2*i(d) - t(d).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -7 - (3 - 2) - -2. Find the common denominator of (-15)\/i*(-57)\/5 and 3\/5 - ((-63)\/(-6) - 2).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41668938 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = x - 17, 3*w = x - 6 + 13. Let l = w - 1. Suppose 5*i - 17 = -l. Solve h + i*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 w, and 1 n when three letters picked without replacement from {n: 1, b: 1, w: 2, f: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/42)\/(649\/(-1593)).\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 + 0 + -5*(7 + -1)\/(-6)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 + 20*g**2 - 330*g - 6380. What is i(-20)?\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3\/1)\/(12\/16). What is the common denominator of 9\/(-60)*(-38)\/(-3) and ((-15)\/n)\/(1\/(-5))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12540 and 1748.\nAnswer: 288420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16040526*m**3 + 3*m**2 - 11704237 wrt m?\nAnswer: -96243156","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -140, 519, 2422, 6229, 12600, 22195?\n\"Answer: 110*b**3 - 38*b**2 + 3*b - 215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j**8*j**14*j*j**(2\/11)*j**3 assuming j is positive.\nAnswer: j**(299\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*((c\/(c\/(((c**(-5)\/c)\/c*c*c)\/c)*c))\/c)\/c))\/c**(-1\/16)*(c\/c**(-8))\/c*c\/(c**(-5)\/c*c) assuming c is positive.\nAnswer: c**(369\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 35230510 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the third derivative of 659*h**9\/168 + 1097*h**5\/30 + 318*h**2. Find the third derivative of n(v) wrt v.\nAnswer: 237240*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 6:21 PM?\nAnswer: 8:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*b + 10*b. Is b bigger than -1\/30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate h**2*s**2 + 20409*h**2 + 11*s**2 + 1289 with respect to h.\nAnswer: 2*h*s**2 + 40818*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 10 = -3*q + 2, 5*m - 4 = -3*q. Let d be (-1)\/(-4) + 556\/16. Suppose 0 = -2*i + 5*w + d, -i - q*w - 6 = -51. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1234.\nAnswer: 2, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*q + q - q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 - -13. Let x be (w\/10)\/((-3)\/(-15)). Let u = 2 + -2.4. Put x, -0.3, u in increasing order.\nAnswer: u, -0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33212071 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) + sqrt(156) + (sqrt(156) + sqrt(156)*-1)*-2)*-5)\/((2*sqrt(192) - sqrt(192))*-6).\nAnswer: 5*sqrt(13)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -7. Suppose -g*r = r. Suppose -2*f = 5*k - 22, r*k - 36 = -2*f + 2*k. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -4 (b) -11 (c) 1 (d) -0.13 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 89.6675 nanograms?\nAnswer: 0.0896675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, -66, -146, -266, -432, -650, -926?\nAnswer: -1266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(80) + -4 - -5*(-3 + sqrt(5) + sqrt(20) + sqrt(5))) + 5.\nAnswer: -18 + 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - (-763)\/266)*184\/(-690).\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(4 + -1*sqrt(1573) + sqrt(1573) + sqrt(1573) + ((sqrt(1573) + sqrt(1573) + 0 + sqrt(1573) - sqrt(1573))*3 - sqrt(1573)) + 2)*4 + 3)**2.\nAnswer: 47520*sqrt(13) + 3626217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 + 7*r**2 - r + 7. Calculate the remainder when m(6) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, -35.\nAnswer: -35, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c**2 + 37*c - 2*c**2 - 79*c + 42*c.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1199\/1595642?\nAnswer: -1199\/1595642","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 - b - 80. Let c be k(0). Let f = c + 89. Calculate the least common multiple of 2 and (3\/f)\/(9\/540).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -142 + 534 - 2*t - 2554 + 552 + 540 + 535 + 535.\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 60*k - 63*k + 46, 4*t = -3*k + 16. Let o(b) = b**3 + 11*b**2 - 2*b - 10. What is the remainder when k is divided by o(-11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5234, -5232, -5230, -5228, -5226, -5224?\nAnswer: -5222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 10026800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3080 + 3080. Sort 5, r, 17\/9.\nAnswer: r, 17\/9, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 - 4*z**2 + 5*z + 4. Let b be d(-5). Suppose 4*v = 2*v + 2*c + 32, -b*c = 4*v - 72. Let q = v - -14. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - (-4 + -2 + 3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1115 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2948216 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: Solve -y = -1, 2*l + 89 - 102 = -y for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 - 31 - (7 - -2).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 10, z: 7, q: 1}. Give prob of sequence zzk.\nAnswer: 35\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 59988 = -5*q, -49*o = -q - 45*o + 11976. Is 120 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -61650 by -5.\nAnswer: 12330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 37*a - 1051. Calculate q(29).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 11, s: 1, w: 4, u: 1}. Give prob of picking 1 u and 1 w.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 16993358231 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**21)\/r**(-35))\/(r\/(r\/(r\/(r*r*r**27*r)))*r*r*r*r**(2\/3)) assuming r is positive.\nAnswer: r**(247\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.25 * -5.\nAnswer: 6.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 623 - 1362. Let l = 139 + o. What is l rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 18.43978 weeks?\nAnswer: 11152378.944","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3259 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -1677\nAnswer: -1\/559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 equal to 47\/26319948?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 6d84 (base 14) to base 11\nAnswer: 1340a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 183386927 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43.5088cm to kilometers.\nAnswer: 0.000435088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) 0.809 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 10. Suppose 0*i = -3*i + o. Calculate the lowest common multiple of 1 and i.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -440529*n**2 + 125959*n + 2 wrt n?\nAnswer: -881058","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7600)\/(-21360) - (-2)\/(-89))\/((-2)\/(-144))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vcbccbvcbvu. What is prob of picking 2 b?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**2 - 5*f + 6. Let i be w(4). Suppose -3*k - 1 = -2*k + 3*b, -2*b = i. Differentiate -3 + 4 + o**k + 0*o**2 wrt o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k\/k**(-4)*((k*k**1)\/k)\/k)\/(k**(-3\/16)\/k**(-4\/5)))**(-3\/7) assuming k is positive.\nAnswer: k**(-1293\/560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 151*q**2 - 9*q. Let n(v) = 75*v**2 - 4*v. What is -9*n(x) + 4*z(x)?\nAnswer: -71*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 + (103 - (-6)\/2). Let b = a + -39. What is the remainder when b is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2711*p - 38938 - 32770 - 18392 = -61*p for p.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 0.2 (c) -30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 355 + 458 - 4*w - 106 + w.\nAnswer: -3*w + 707","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 - 13*f**2 - 3*f - 13. Let m be v(-13). Are m and 25 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-2)\/(-7))\/(2\/14). Suppose r = -o*r + 6. Solve r*c + 3 = 3*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 + 44\/(-8) - 4)*-2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110963 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 - 12*n - 9. Let m be f(13). Let o be 4\/m + -1 + 2. Differentiate -1 - c**o + c**2 - 1 + 3*c**2 with respect to c.\nAnswer: 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 724401659 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 786415, 1572834, 2359253, 3145672?\n\"Answer: 786419*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 198, 345, 494, 645, 798, 953, 1110?\nAnswer: 1269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/2396 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 AM and 1:56 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.53 + 1.33. What is the second smallest value in 0.2, k, -79?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)*1*2)\/(-2*sqrt(10)*2) - -2*(2 + ((sqrt(1100) - (sqrt(1100) + 2))*6)**2).\nAnswer: -sqrt(11)\/2 + 292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 - 8273*d - 74366. What is u(-9)?\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + 70?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1844.82 + -1101686\nAnswer: -1103530.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -132 divided by 44.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = v + 13, -4*v + 2*c = -3*c + 117. Let t = v + 28. Let m(j) = -3*j + 19. Let h be m(5). Solve -h = -t*b + 6 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 419441.3 to the nearest one thousand.\nAnswer: 419000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.8468322 meters?\nAnswer: 846.8322","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 145*o**2 - 40*o - 260. What are the prime factors of k(-5)?\nAnswer: 5, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 438 = -154. Let g = v + -35. Suppose 0*y - 2*y = -g. Is 9 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1314773 less than -709?\nAnswer: -1315482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 61630920 and 273510.\nAnswer: 184892760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 2:27 PM?\nAnswer: 1:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -5, -1907, 15, 4, -0.2, -0.3?\nAnswer: -1907","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 + 5*t**2 + 4*t + 4. Let n(o) = o**3 + 5*o**2 + 5*o + 1. Let i be n(-4). Calculate y(i).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 125 + 35. Determine q, given that -2*q + 12*q**2 - 3*q + k*q**3 + 2*q - 42*q**3 - 12 = 0.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 40\/8*(-3)\/5. Which is the nearest to h? (a) 2\/3 (b) 4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30.90493mg to micrograms.\nAnswer: 30904.93","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 9*d**2 - 80*d + 169. Calculate k(4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -1 + 1 + 7*d + 4 - 1. What is the units digit of i(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**4 - 140*s**3 - 975*s**2 + 140*s + 980.\nAnswer: -5*(s - 1)*(s + 1)*(s + 14)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 divided by -13933546?\nAnswer: 1\/1266686","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -10, 0.1, -0.17, -0.22?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 1*-3*(-3 + (sqrt(171) - (-3 + sqrt(171)*-2))))**2*-1.\nAnswer: -13855 + 108*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 62, 19, -4.8423.\nAnswer: -4.8423, 19, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 3*y + 2 = 0, 15 = 5*k + 4*y - 3. Suppose 3*w - 332 = -5*t, 0 = -2*t + 4*t - k*w - 136. What is the tens digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*q + 63 = 32*q. Let v(m) be the second derivative of -4*m**3\/3 - 4*m**2 + 3*m. What is the units digit of v(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i**3 - 19*i**2 + 16*i - 212. Let x be u(10). What is the highest common divisor of 648 and x?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -61 - -302\/5. Sort 1, -2\/11, u.\nAnswer: u, -2\/11, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d**2\/5 - 24*d\/5 + 52\/5 = 0. What is d?\nAnswer: -26, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 8, -3 + 137 = 4*t + 5*a. What is the greatest common factor of 496 and t?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/(-7) + 88\/56)*2. Suppose -j*c + 124 = -0*c. Differentiate -51 + 12*o**3 + c - 2*o**3 wrt o.\nAnswer: 30*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 114 - 111. Suppose 0*r + 24 = 4*r. Solve l*o = r - 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12.827 rounded to one decimal place?\nAnswer: -12.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 - 5*w**2 + 5*w + 5. Let m be -5 + (-6 - -9) + -3. Let i(u) = u**2 + 9*u + 3. Let x be i(-7). Let j = x - m. What is d(j)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6882 + -6879.9. What is the closest to -0.3 in 2\/15, 2\/9, 0, o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 0*g**2 - 1 + 6*g**2 - 2*g**2 + g. Suppose 246 = -2*u + 242. Let z(d) = -8*d**2 - 3*d + 2. Let c(h) = u*z(h) - 5*w(h). Determine c(2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7295\/6 - -1203. Let k = 13 + t. Let c be (-2)\/4 + 10\/28. Put k, -0.5, c in descending order.\nAnswer: k, c, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3999.2113 to the nearest one hundred.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 PM and 5:36 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, i: 4, q: 6, d: 3, z: 1, l: 2}. Give prob of picking 1 x, 1 l, and 1 d.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 29*(73 - 126\/14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (60\/(-18))\/((-4)\/6). Solve 0 = -4*b - 3*c - 10, c + 10 = -u*b + 3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 13, f: 3}. Give prob of sequence zzzz.\nAnswer: 11\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 15488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 - 3*v**2 - 11*v + 10. Let c be 120\/(-24)*(-1 + -1 - -1). What is the lowest common multiple of 30 and n(c)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 61, 159, 257, 355, 453, 551?\n\"Answer: 98*o - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 3*l - 7456, -5*l + 3*l + 2*m = -4972. Let p = 1188 - l. Let b = -182 - p. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times 327?\nAnswer: 32.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2153957\/22267620 - -9\/26044. Let l = -1\/342 - d. Which is the nearest to 1? (a) l (b) -5 (c) 1.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of 0 + 2*p**2 + 19*p + 2\/3*p**4 + 13\/6*p**3. What is the remainder when h(-5) is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 4715100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 16 = -v, 21 = 2*v + 4*w + 7. What is the greatest common divisor of v and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 + 3)*(2 - 2 - 6)*(14*s + 0*s + s).\nAnswer: -450*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 54 - 44. Let l be (-4)\/(-1)*2\/(-28). Put -2\/9, m, l, -1\/5 in decreasing order.\nAnswer: m, -1\/5, -2\/9, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 0.2, -3\/7, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.03 (b) 492 (c) 3\/17 (d) -2 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2)*((61 + 1 + 30)*(0*g + 0*g + 3*g) + 6*g - 2 + 2).\nAnswer: 564*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 399, 400, 401?\nAnswer: 402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 AM and 2:06 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -25*k**4 + 130*k**3 - 200*k**2 + 110*k - 15 = 0.\nAnswer: 1\/5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of -3\/2*y**2 + 0*y**5 + 2 - 1\/6*y**6 + 0*y**3 + 0*y + 0*y**4. What is the second derivative of o(q) wrt q?\nAnswer: -20*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 + 10*g**2 + g + 13. Let s be j(-10). Let a be 2\/(-3)*s\/12. Put -4, a, 0.1, 3\/7 in descending order.\nAnswer: 3\/7, 0.1, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 46 and 253.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3323\/32? (a) 0.3 (b) -0.2 (c) 2 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4672.933 and -82.1451?\nAnswer: 4590.7879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 4*z**3 - 6*z**2 - 6*z + 6. Let i(h) = 9*h**3 - 13*h**2 - 13*h + 13. Let d(p) = 6*i(p) - 13*s(p). Factor d(x).\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express c + 30*c + 26*c - 18*c + (-1 - 2 + 6)*(-2*c + c - c) - 9*c - c + 3*c as y*c + l and give y.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*h**4 + 0*h**4 + h**4)*(-4 + 0 + 6) - 2*h**4 + h**4 + 3*h**4 + 17*h**4 + 18*h**3 - 18*h**3 + h**4 - 3*h**4 + h**4)*(1 + 3 - 5) + 26*h**4 + 655 - 655.\nAnswer: 12*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(130)*-2)\/sqrt(10).\nAnswer: -2*sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - 1. Suppose -5*j = -i*j - 42. What is the lowest common multiple of 20 and j?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.269991087 to five dps.\nAnswer: 0.26999","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 780 and 188460?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -13 - -13. Suppose -m = -5*m - 52. Let y = -55\/4 - m. Put 5, y, g in decreasing order.\nAnswer: 5, g, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sxshhssssssxxxdhd. What is prob of sequence xh?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 469, 5, -77, -2\/11 in descending order.\nAnswer: 469, 6, 5, -2\/11, -77","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 3*a = 21, -4*o + a + 18 = -4 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:34 AM and 5:32 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1196 and 483.\nAnswer: 25116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10650 - -31161. What is the thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1a4 + 63a?\nAnswer: 476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 51 - 28. Suppose y + 3*p = -y - k, 2*y = 3*p + 7. Let o = 835 + -5847\/7. Sort y, -5, o.\nAnswer: -5, y, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 71 = 1. Let u = -15 - m. Suppose -4*c + 151 = u*j - 8*j, 3*c - 2*j = 122. Is c even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 843?\nAnswer: 3, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -b + 65. Suppose 0 = 8*r - 4*r + 2*c - 50, 4*r + 5*c = b. Suppose 3*y = -r*y + 104. What is the smallest common multiple of 8 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 52 and 4.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -8*z + 3. Let j be y(1). Let l(b) = b**3 + 9*b**2 + 10*b + 7. Let r be l(j). Let v = 82 + r. List the prime factors of v.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert d638 (base 16) to base 9.\nAnswer: 83203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14\/199 - -8103\/796. What is the common denominator of i and 55\/7?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the second derivative of 0 + 0*g**2 + 0*g**3 + 14*g - 7\/20*g**5 - 1\/2*g**4. Find the third derivative of x(a) wrt a.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**3\/3 + 1772*u**2\/3 - 7130*u\/3 - 8900\/3 = 0. Calculate u.\nAnswer: -890, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -36372\/44699 or 0?\nAnswer: -36372\/44699","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((3\/6)\/((-30)\/(-76)))\/(66\/660).\nAnswer: 38\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 13*d**3 - 3*d**2. Let i(p) = -12*p**3 + 4*p**2 + p - 1. Give -2*i(u) - 3*s(u).\nAnswer: -15*u**3 + u**2 - 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -9837*g**3 - 16290 wrt g.\nAnswer: -29511*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(49\/56)\/(2\/(-24)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -795 = -2*q + 1135. What is the hundreds digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000145433 rounded to 6 dps?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -237 * -2.\nAnswer: 474","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4464 - 4424. Calculate the lowest common multiple of q and 940.\nAnswer: 1880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*w**4 - 2*w + w + 4*w**2 + 54 - 55 - 7*w**2 - w as g + v*w**2 + n*w**3 + p*w**4 + m*w and give p.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21.538130554 - 15.\nAnswer: -36.538130554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*q - 3*q = 75. Let h = q + -11. Calculate the remainder when h is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*h**2 - 26*h**2 + 65*h**2 - 7*h - 21*h**2 to the form o*h**2 + z*h + k and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7 is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1 - -0.9. Let n = -6556.01 + 6556. Let y = -0.7 + 1. Put s, y, n in increasing order.\nAnswer: n, y, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.11, -6\/11, -0.4, 10, -4 in ascending order.\nAnswer: -4, -6\/11, -0.4, 1.11, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d + 26. Let k be c(-23). Let n = k + -1. Determine s so that -1\/2 + 5\/4*s - s**n + 1\/4*s**3 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42783 is divided by 1380.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122 - 141*s**3 - 122.\nAnswer: -141*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 5*t - 254 = 0, -543 + 1305 = 3*v - t. Does 24 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**2 + 5*n**2 - 7*n**2)*(-3 + 0 + 0) - 4*n**2 - n**2 - n**2 + (-3 + 2 - 1)*(3 - 3 - n**2).\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + 3 - (4 - 2). Suppose h + 0*x = 5*x + 17, 4*h - c*x - 17 = 0. Let j be (h - 0)*(-1 + 0). Put 0, 1, j in decreasing order.\nAnswer: 1, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, v: 4, r: 5, h: 1, y: 4}. What is prob of sequence rrg?\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1454756.\nAnswer: 2, 29, 12541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b - 2. Let z(n) = -2*n - 3. Let x(y) = 3*u(y) - 2*z(y). Let j(d) = -16*d**2. What is x(j(p))?\nAnswer: -16*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (17 - -15)\/((-885)\/30 - -30)?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 457*j - 462*j = 4*b + 139, 7*b + 2*j + 34 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 54970 to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 AM and 11:07 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -500 - -500.217. Let s = -96.217 + p. Let i = 96.000039 + s. Round i to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 508485255 to the power of 1\/2, to the nearest integer?\nAnswer: 22550","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b**2 + 16*b + 5. What is the units digit of t(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -51.7 + 52.2. Which is the nearest to -2? (a) -4 (b) n (c) -0.5 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*j**3 + 14 - 16 + 1.\nAnswer: 18*j**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, u: 11, h: 7}. What is prob of picking 1 a and 1 h?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3927.71 - 0.5?\nAnswer: -3928.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) -119 (c) -0.3 (d) 9597\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gcdg. Give prob of sequence cgg.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41 - 512*j**2 - 78 + 37 - 592*j**2 + 1101*j**2.\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = 3*s - 57. Sort -3, s, -1.\nAnswer: -3, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 12*v + v - 5 - 6 - 23*v + 9. Let f(g) = 8*g - 5. Let d(i) = i - 1. Let p(m) = 5*d(m) - f(m). Determine p(k(z)).\nAnswer: 30*z + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (68\/85)\/(56\/(-28)*(-4)\/(-240)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 13 in 5, 0.04, -2967, 0.1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 435.8371ml to litres.\nAnswer: 0.4358371","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + -326?\nAnswer: -331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 3304 divide 453726525?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 1655*w + 12454. List the prime factors of b(11).\nAnswer: 23, 31, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101100000 + -100?\nAnswer: 1101011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 53607 and 4173.\nAnswer: 321","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (105\/28)\/((-60)\/(-144)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.3 + -4.015. Let h = -0.085 + p. Which is the fourth biggest value? (a) -1 (b) 2\/7 (c) h (d) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 547679 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6263 and -0.9?\nAnswer: 5636.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/(-1) - 231\/(-21).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 - 11*a + 7. Let u be d(11). Solve -2*k + 3*o = 4*o - 1, 4*k - u = -o for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvyvvvybxvyxvyw. What is prob of sequence wvy?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-12)*d*d**(-1\/3)*d)\/(((d\/d**(-5))\/d)\/(d\/d**14)) assuming d is positive.\nAnswer: d**(-85\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l - 13*l = 3*j - 498, 2*j = l - 523. What is the greatest common divisor of l and 950?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-88)\/44*21\/6?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/5 of a hour in minutes?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 + 12. Let o = -0.1 + 0.2. Let f = 0.6 - o. What is the closest to 1 in c, 5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h - 40 = -3*h, 2*c = -3*h + 6297. Calculate the highest common factor of 24 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(11)*-3*-2*-4 + sqrt(44)\/((-3*sqrt(48))\/sqrt(12))*2.\nAnswer: -74*sqrt(11)\/3 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**4\/5 + 4*g**3 - 4*g**2\/5 - 68*g\/5 + 48\/5.\nAnswer: 4*(g - 1)**2*(g + 3)*(g + 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 - -9. Suppose 4*r = g*p - 72, -3*p + 0*r = 5*r - 75. Suppose 5*m - 2*m = p. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0, 22\/61, 302, -2 in descending order.\nAnswer: 302, 0.5, 22\/61, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of -s**3\/2 + s**2 + s. Let o(m) = -477*m - 475*m + 3 + 949*m. Suppose -22*c = -3*c - 57. Calculate c*z(x) - 2*o(x).\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -13. Let x = r + -7. Let w = 2.1 + x. What is the nearest to 3 in w, 5, 0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9090008 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*z + 15 = -54*z + 93 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5135 and 237?\nAnswer: 15405","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 32*z**3 - z**2 + 2. What is the tens digit of a(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -29645, 13 in decreasing order.\nAnswer: 13, 5, -29645","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-246)\/(-41) - 243\/(-9). Solve 0 = 17*n + j - 50 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3112346, -3112337, -3112322, -3112301?\nAnswer: -3112274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h - 2*h + h)*(-1 + 0 - 1) - h + 703 + 776 - 1342.\nAnswer: -3*h + 137","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*y = -74*y - 4 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-2\/3)*j)**1)**(-9\/7)*((j\/j**(1\/2))**(-21))**(-42) assuming j is positive.\nAnswer: j**(3063\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 102470541 to the nearest integer?\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 1533429.\nAnswer: 3066858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.92 + 3.92. What is the biggest value in 0, 1.9, 0.3, x?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9669*y - 50 = 9670*y - 4*r, -4*y + 2*r = 18 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*l + 3570 + 1800 - 1002 = -68*l for l.\nAnswer: -78","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3591 and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11.74 - 0.26. Let m = 18 + v. Let r = -5.7 + m. Put r, -0.5, -0.4 in descending order.\nAnswer: r, -0.4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m - 1. Suppose 15*d - 13*d = 0. Suppose d = -5*t + 4*t + 2. What is the smallest common multiple of t and j(7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*p - 3 + 3 + (-2*p - 3*p + 4*p)*(1 - 2 - 1) - 45*p - 542 + 542)*(-22*p + 16*p - 25*p)*(-1 + 0 + 2) in the form h*p**2 + v*p + s and give h.\nAnswer: 1271","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3639 + 158*j**2 - 750 - 1325*j - 574*j - 4*j**2 + 149*j**2 + 3*j**3 = 0. What is j?\nAnswer: -107, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 861*n**2 - 13*n - 21. Is k(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(76)\/sqrt(2))\/((sqrt(2) - sqrt(160)\/sqrt(5)) + sqrt(2))*2)**2.\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*p + 11*p + 8*p - 13.\nAnswer: -p - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-24)\/(-42)*4851\/378)\/(20\/150*-5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a centimeter in millimeters?\nAnswer: 74","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -160.\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 632932856.\nAnswer: 2, 79116607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9535500?\nAnswer: 2, 3, 5, 13, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*z + 9*z + 39*z - 19760. What is the highest common factor of 72 and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*q - 3*q - 2*q + 0 + 0 + q + (3*q - 3*q - 2*q)*(-3 + 1 + 1) - 2 + 2*q + 2 + 6*q - 89 + 89 - 3*q - q + q.\nAnswer: 7*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(153) - sqrt(153) - sqrt(187)\/(sqrt(11) - (3*sqrt(11) + sqrt(11) - sqrt(11))))*6.\nAnswer: 57*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 343 divide 9064624?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 + 42 - 15) + -40.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1299, -1366, -1433, -1500, -1567?\nAnswer: -1634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 4 = 0, 0 = d - 5*m + 2 + 4. Suppose d*j - 4*h = 0, 3*j - 8*h = -11*h + 30. Solve 3*b = -j*a - 25, 2*a = 4*a - 2*b - 6 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((t*t\/(t**(-2\/7)\/t))\/((t*t*t**(-1\/5))\/t))\/((t*t*t*t*t**(-2\/9)\/t)\/t**(-2\/3)))**14)**(-18) assuming t is positive.\nAnswer: t**(1208\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -7, -35, -111, -259, -503, -867, -1375, -2051?\n\"Answer: -4*l**3 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7686 - 7686.2. Which is the closest to -4\/3? (a) 5\/508 (b) m (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 14043002 + 100?\nAnswer: 14043102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-nine fifths of a litre?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 68 + -65. Suppose g = 3*g + 3*u - 31, 5*g = 5*u + 115. Suppose 2*v + 4*j - g = v, y*j = 4*v - 118. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 19*v + 195. Let x be h(-10). Suppose 4*b = 11 + 5. Put x, -3, b in descending order.\nAnswer: x, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 12 - 32. Suppose -4*r + 3390 = -2*p, 3*r - 3426 = c*p - 901. Round r to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-10)*i**(-13)\/i)\/(((i\/(i\/(i\/(i**(2\/15)\/i))))\/i)\/i*(i**(-6)*i)\/i) assuming i is positive.\nAnswer: i**(-268\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -70*a**3 - 5*a**2 + 59*a - 106. Give q(0).\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1259 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7754*t - 7756*t + 4*v + 16 = 0, 6 = -2*v for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48976634?\nAnswer: 2, 7, 1523, 2297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -5518965947 - -17?\nAnswer: -5518965930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29\/4 - 7. Suppose -2*h - 14 = -j, 6*h - 3*h + 3 = -3*j. Let v(l) = l**2 - 2*l - 5. Let m be v(j). Sort -3\/5, b, m in descending order.\nAnswer: m, b, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 1 + (sqrt(28) - (sqrt(28)*2 + -1 + sqrt(28)))*4 + (sqrt(28) - (sqrt(3388) + 1 - sqrt(3388)))*-1)**2.\nAnswer: -144*sqrt(7) + 2284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qpppqqpqpp. What is prob of sequence pp?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -2100036.401 to the nearest 1000.\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1139*v - 1137*v + 4537*v - 1132*v - 1131*v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/1563 or 1?\nAnswer: -2\/1563","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22)\/9*300\/550.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 220 - -a5?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a litre in millilitres?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/1)\/2*35\/35.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 12:56 AM?\nAnswer: 3:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -99, -168, -237?\n\"Answer: -69*j - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.3 and 81469547843.\nAnswer: 81469547842.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 6.79985us?\nAnswer: 6799.85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -4*t + p + 116941, p - 7 = 0. What is the hundreds digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -1. Let f(q) = 3*q**b - 4*q**2 - 2*q**2. Let k(s) = 2*s**2 + 4*s + 4. Let d(v) = v + 1. Let z(i) = -4*d(i) + k(i). Determine z(f(n)).\nAnswer: 18*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/3 (b) 0.348 (c) -136 (d) 2 (e) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.04 (b) 0 (c) 667 (d) -2\/7 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + -9. Let m = -10 - w. Let h = 1.421 - -0.579. Which is the second biggest value? (a) h (b) 3 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(36) - sqrt(576))\/sqrt(12).\nAnswer: -3*sqrt(3) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12131978 is divided by 1733118?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 - 4*g + 4. Let j be i(-5). Let v be (-5)\/j + -2 + 1. Calculate the highest common factor of v and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -4*a + 6*a - 2*a + 2*a. Let c(j) = 24*j**2. What is k(c(i))?\nAnswer: 48*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 525 * -49.38.\nAnswer: -25924.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 + 35. Suppose -5*v + u = -191. List the prime factors of v.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -550279 and -550339 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of 5*s**3\/3 - 68. Let v(a) = a. Let q(t) = t**2 - 3*t. Let h(l) = q(l) + 3*v(l). Determine h(g(k)).\nAnswer: 25*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*a + 15*a - 16. Let b be ((-6)\/a)\/((-3)\/8). Sort 5, b, -3 in descending order.\nAnswer: 5, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that l**5\/3 + 1984*l**4 - 23827*l**3\/3 - 5950*l**2 + 35736*l = 0.\nAnswer: -5956, -2, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (36\/(-10))\/(13\/(-65)). Suppose 28 = z*k - 14*k. Calculate the greatest common divisor of 77 and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*x + 40107 - 9*x - 20055 - 38*x - 20057.\nAnswer: -58*x - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1443 divided by -37?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.5, -865, 2, 0, 1 in descending order.\nAnswer: 2, 1, 0, -0.5, -2, -865","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 122 - 244 - 248*v + 122 + 359*v**2 wrt v.\nAnswer: 718","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (36 + 7)) + (63 - 48)?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 2. Suppose 5*u + 1 + 3 = -3*q, -u + 2 = z*q. Is (12\/(-9))\/(q\/(-15)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 77*l - 3901423 = -35*l - 1213311. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4173259, 4173260, 4173261?\nAnswer: 4173262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2807 + 4*z + 2807. Let u(w) = 55*w. Calculate v(u(s)).\nAnswer: 220*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -791256, -791279, -791318, -791373, -791444?\nAnswer: -791531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from jjjjj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**5\/5 + 207*v**3\/5 + 58*v**2\/5 - 7752*v\/5 + 7488\/5 = 0. Calculate v.\nAnswer: -12, -8, 1, 6, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -9273304 divided by -53?\nAnswer: 174968","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 3:36 AM?\nAnswer: 3:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 7056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -23643 divided by 37?\nAnswer: -639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 - b + 8. Let k(i) = 1 - 6 - 5*i + 4*i + 0*i. Let d be k(-5). Calculate c(d).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*l - 30, 285*o - 281*o - 5*l - 54 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -359 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1740 is divided by 218?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -41602800 rounded to the nearest one million?\nAnswer: -42000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 152 + 4 + -9 + 0\/24. Calculate the greatest common divisor of 483 and f.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 38803627?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2\/5 and 15\/3589?\nAnswer: 17945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8560*h**6 - 4*h**5 + 103129*h**2 - 2?\nAnswer: -1027200*h**3 - 240*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 20*g**2*h - 2111*g*h - 484983*h wrt g.\nAnswer: 40*g*h - 2111*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/422955983 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -61 + 2?\nAnswer: -5d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(15\/26))\/(1360\/4080)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 194353 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x*x**8*x*x*x\/(x*x\/(((x\/(x**34*x))\/x*x)\/x)) assuming x is positive.\nAnswer: x**(-24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 2 f when three letters picked without replacement from pffpfjjppfff?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.347 rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6558*((-5)\/(-60)*2)\/(3\/6)?\nAnswer: 2, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 2*t = 16, -6 = -2*b + t + 6. Suppose -200 = -32*u + 312. Suppose -b*m + 132*m**2 - 62*m**2 - 71*m**2 - u = 0. What is m?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + -8. Let o = 22 - p. Let t = o + -28.9999978. Round t to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 64 and 152.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 18175099 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 22 = 48. Let b = d - -71. Let c(m) = m. Let y(f) = 3*f - 3. What is b*y(o) - 4*c(o)?\nAnswer: -o - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 107937770 and 30?\nAnswer: 323813310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 - 4*n - 9. Let l be 2\/4*(3 + 9). Let b be c(l). Suppose -b*p + 54 - 6 = 0. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3090 + -3087. Which is the nearest to 0.7? (a) -3 (b) d (c) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4305749 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 353*0.0954.\nAnswer: 33.6762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -2\/3 (b) -0.2 (c) 1 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s - 41*i = -42*i + 1, 0 = -4*s - i + 6 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000207479 to six dps.\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 45 = 27. Sort 3, 20, r.\nAnswer: r, 3, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = h - n, -3*h - 3*n + 34 = 25 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2429496 by -3.\nAnswer: -809832","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - 0) + (-1)\/1. Suppose 0 = x - 3 + s. Solve -4*m - 5*g + 22 = 0, m = 4*g - x*g - 1 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000803315652 to five dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of f**6\/40 - f**3\/2 - f**2 - 3. Let z(u) be the second derivative of x(u). Differentiate z(s) with respect to s.\nAnswer: 9*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 4*b + 7, -2*b = o - b + 2. Is 2 - -1 - 11*(-62 - o) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 67711, 270826, 609359, 1083316, 1692703, 2437526, 3317791, 4333504?\n\"Answer: i**3 + 67703*i**2 - i + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 797763125 to the nearest integer?\nAnswer: 28245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**3 + 12*g**2 + 51*g + 14. Determine r(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -3, -961 in increasing order.\nAnswer: -961, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of -t**6\/720 - t**5\/360 + 3*t**2 + 7. Let b(p) be the second derivative of q(p). Suppose b(o) = 0. What is o?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 19 - 5 = -3*v, -2*v + 4*o = -4. Let j be (-2)\/(-1*v\/(-14)). Suppose 8 = 2*n - 2*s, -3*s - j = -3*n - 2*s. What are the prime factors of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7428 divided by -6.\nAnswer: -1238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p - 4. What is f(5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.129 + -3.129. What is the closest to -0.1 in -2, -0.2, x?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j*j**(-2\/3)\/j*j)\/(j\/(j*(j\/j**7)\/j)))**(-2\/155))**(-8) assuming j is positive.\nAnswer: j**(-272\/465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 2562728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 83055 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4185\/124 + -35)\/((-5)\/8). Let l(p) be the first derivative of -4*p**4 + 0*p**u - 16\/3*p**3 + 30 + 0*p. Find the third derivative of l(g) wrt g.\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*p + 3)*(p**2 - 2*p**2 + 2*p**2) - 72 - 10*p**3 + 72.\nAnswer: -8*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -364347 - -364348.25999652. Let o = n + -1.26. Round o to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 0 + -10 + (-5 - -24) + (18 - 12)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9469.555mg to grams.\nAnswer: 9.469555","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 28, -4, 1, 1\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-4)\/7)\/((-32)\/224). Let s be ((-2)\/(-18)*6)\/2. Factor -s + 0*b**2 + 1\/3*b**g + 2\/3*b**3 - 2\/3*b.\nAnswer: (b - 1)*(b + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20023?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.37775 - -0.3111. What is s rounded to 1 dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(4*(21\/12)\/(-1))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:59 PM and 10:54 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x - 2*s + 5 = -5, 3*x = 3*s + 21 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of -j**4\/12 - 46*j**2 - 57*j. What is the derivative of w(s) wrt s?\nAnswer: -2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001559 to five decimal places.\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*l + 14*l + 4*l**2)*(3*l + 30*l**3 - 29*l**3 - l)*(3 + 4 - 6).\nAnswer: 4*l**5 + 8*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5345b (base 12) in base 13?\nAnswer: -3aacc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 7, u: 1, i: 4, g: 3, j: 2, w: 1}. What is prob of picking 3 i and 1 j?\nAnswer: 2\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 4)*(-5*x + 2*x + 5*x)*(-4 + 6 - 1).\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6*2)\/3 + 68. Suppose 10*w = -6*w + c. Solve -4*l + 7 = 3*i, 3*l = -l - w*i + 12 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 3235*m + 0 - 1607*m - 1607*m + 0. Let w(l) = -l + 0*l + 0*l. What is y(w(r))?\nAnswer: -21*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.01 - 2.135. What is l rounded to 1 decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-5))\/(((-1353984)\/23370)\/(-344))?\nAnswer: -19\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -52 - -b5d?\nAnswer: b0b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 + 5*l**2 + 4*l + 3. Suppose 3*g + 0*x = 2*x - 15, -4*g - 2*x = 20. What is the remainder when (g + 3)*(-30)\/4 is divided by q(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 208 a factor of 83119794?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of -r**2\/2 - 7*r - 15. Give g(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 3 = -v. Suppose -2*c + v*z + 0*z = -213, 3*c - 300 = -2*z. List the prime factors of c.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12561740 rounded to the nearest one million?\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 229 - 1600\/7. Let g = 7.193 - 7.093. What is the nearest to n in g, 0.06, -1\/5, 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -1 (b) 1 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -224494, -224241, -223988, -223735, -223482, -223229?\n\"Answer: 253*f - 224747","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 166640, -4 in descending order.\nAnswer: 166640, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 + 265 + -4 + -4 + 7. Let q = 545 - j. Does 19 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: -45 (base 14) to base 9\nAnswer: -67","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 746 + 2b9?\nAnswer: a32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 2*n**2 + 2*n. Let q be u(-2). Let f(b) = 4 + 7*b + b + 1 - q*b. What is f(-4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4976 + -4972. Solve -22 = -t*z - 3*u, 4*u = z - 171 + 175 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 0 + 208 + -206\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p**3 - 55*p**2 - 32*p - 135. Let t be n(-27). Solve 2*s + 25*v + 12 = 24*v, s - 4*v - 3 = t for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 980 = -1795 + 900 for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -3*s + 5. What is x(-7)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-54)\/(-4)*-10*24\/(-90)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12735717 to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w, 1 f, and 1 u when four letters picked without replacement from {f: 3, y: 1, c: 6, u: 2, w: 2}?\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*s - 10*s + 6*s + 5*s**2.\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vr when two letters picked without replacement from krsxvpk?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**2 - 10*y - 17. Let h be (-14)\/(5 + -2 + -1). Let q be a(h). Solve 0*n = -q*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 40*k + 7*k + 124*k - 91*k + 72*k in the form l + w*k and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -3*s**3 + 141*s**2 + 12*s - 18. Let z(n) = 2*n**3 - 141*n**2 - 14*n + 21. What is 7*c(t) + 6*z(t)?\nAnswer: -9*t**3 + 141*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41981 - 124921 = -298*u - 43902 for u.\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 4*i**5 - 16*i**4 - 1268*i**3 - 1984*i**2 + 36544*i - 33280 = 0.\nAnswer: -13, -8, 1, 4, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1118*n + 828*n - 170*n - 1550*n + (-4 - 2 + 7)*(-n - n + 0*n) - n + 2*n + 0*n to the form g*n + x and give g.\nAnswer: -2011","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/19, -9, -0.1, 15, 0.2 in descending order.\nAnswer: 15, 0.2, -0.1, -2\/19, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from peazpppk. What is prob of sequence ekee?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -22*i**2. Let o(x) = 5*x. Calculate o(n(p)).\nAnswer: -110*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6063750 and 30870.\nAnswer: 42446250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1 - 0.2. Which is the nearest to w? (a) 4 (b) 0.2 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 66562038?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 328*d**3*q + 940*d**3 + 3*d**2*q + 173837*d*q wrt d.\nAnswer: 1968*q + 5640","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 AM and 1:57 PM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s and 1 a when four letters picked without replacement from {p: 2, s: 7, a: 7}?\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -3\/4 (c) 15\/7 (d) -38\/9 (e) -1 (f) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 713251 and 3304?\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -7*g + 10. Solve 0 = -a - g for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 566 - 526. Find the second derivative of -149*m + 801 - 801 + q*m**4 wrt m.\nAnswer: 480*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5188 + 7853. What are the prime factors of m?\nAnswer: 5, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -3*o**2 - 144*o - 835. Calculate a(-7).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of 0*a**4 + 0*a**3 - 1\/15*a**5 + 0 - 48*a**2 + 0*a**6 + 0*a + 1\/336*a**8 + 1\/70*a**7. Suppose v(b) = 0. What is b?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -11*f**2 - 208*f - 199*f + 4*f**2 + 402*f. Let z(l) = -6*l**2 - 4*l. Give -3*k(x) + 4*z(x).\nAnswer: -3*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 3*q - 14 = 0. Suppose -5*f = -q*f + 18. Suppose 2*j - 57 = -f. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -90*a + 69*a**2 + 75\/2 + 3\/2*a**4 - 18*a**3 = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 190510.8 millilitres in litres?\nAnswer: 190.5108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -862 = -c + p + 4550, 2*c - 3*p = 10823. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1 + 0. What is the nearest to 1 in d, -3, -0.3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000014129 to six dps.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a + 5. Let k be r(7). Let p(h) = -3 - 1 + 10 - 5. Let s(t) = -t - 2. Determine k*p(u) - s(u).\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4702*i - 3577*i + 7556*i.\nAnswer: 8681*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -24949, -48434, -71919, -95404, -118889?\n\"Answer: -23485*w - 1464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 5. Let t(s) = -3*s**3 + s**2 - s - 1. What is the remainder when 18 is divided by t(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 258006\/11 - 94205\/4. Let h = b + 379\/4. What is the common denominator of (-63)\/(-924)*(1 - -33) and h?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(275) - (sqrt(275) + 1)) + 5*sqrt(11)*1.\nAnswer: -1 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26344)\/3560 - (0 + -11).\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(9)\/sqrt(3) + -5 - (sqrt(3) - -2*sqrt(48) - sqrt(3)))**2.\nAnswer: 70*sqrt(3) + 172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/8 - -12*(-105)\/(-252) - 4.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11*c**3*z**2 - 1980722*c**3 - c**2*z**2 - 490*c**2*z + 185*c**2 + 4*z wrt c.\nAnswer: -66*z**2 - 11884332","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -949*l**4 - 4*l**3 - 2*l**2 + 484. Let v(n) = 2847*n**4 + 14*n**3 + 7*n**2 - 1454. Let u(p) = -14*r(p) - 4*v(p). Differentiate u(g) wrt g.\nAnswer: 7592*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 4. Which is the nearest to -1? (a) 0.5 (b) -2\/5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*n**2 - 5*n**3 - 3*n**3 - 2*n**3 + 5*n + 11*n**3.\nAnswer: n*(n + 1)*(n + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 120 + -110. Calculate the lowest common multiple of f and 18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 + 43*k - 284. Calculate f(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2683?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*h - 46*h + 12*h + 15*h.\nAnswer: -5*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 88*2055\/12056 - (-3)\/((-3)\/64)?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 16437\/(-8) + -3 - 3. Let d = n + 2067. What is the common denominator of (-1)\/(-12)*282\/(-10) and d?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 107148232?\nAnswer: 53574116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l**3 + 2*l**2 - 2*l + 1. Let s be a(1). Let u = -9 + 4. Let w = 655 + -655.2. Put u, s, w in descending order.\nAnswer: s, w, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 141076237 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-32*c**2 - 6*c + 2*c + 36*c**2)*((0*c + c - 4*c)*(4*c + 0*c - 5*c) + 3*c - c**2 - 3*c).\nAnswer: 8*c**4 - 8*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d - 2*d - d**2)*(-2 - d + 2) + d**2 - d**2 + 2*d**3 + (-6*d**2 + 5*d**2 + 2*d**2)*(-43 + 3*d + 50 - 4*d).\nAnswer: 2*d**3 + 7*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - 12*10\/(-20)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 8*f - 4. Let i be l(1). Solve -2*k - 4 + 2 = 3*x, i*k = 8 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35.8463 decades in millennia?\nAnswer: 0.358463","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 174 in 1, 2\/7, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*i + 16*i = -4*m + 19, 5*i + 35 = 5*m. Let n(l) = -l**3 - 10*l**2 - 12*l - 6. Determine n(i).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o - 6. Suppose 0 = -4*j + 5*l - 10, -2*j - 2*l - 2 = -3*l. Let t = j + 6. Let u be q(t). Solve d + d + 10 = u for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 5*a = 11, 2*j - 4*j + 1 = 3*a. Suppose j*n - 717 = -n - 3*d, 2*d - 4 = 0. Suppose -5*p + 2*p = -n. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -103 (base 14) in base 2?\nAnswer: -11000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2074*u**2 + 4*u**3 - 6219*u**2 + 2072*u**2 + 2073*u**2.\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -972 = -141*z + 156 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/8*-2 - (-1098)\/28. Let y = 40 - v. Let l = 0.7 + -0.2. What is the nearest to -0.2 in y, 2\/11, l?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58\/13 >= 22\/457?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2284*g**2 - 2188*g + 2188*g.\nAnswer: 2284*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 46 + -42. Suppose -2*s = -m*s + 64502. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 + 3*f + 3. Give w(-3).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 + 25*z - 85. Determine d(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8 - -11. Suppose a + l*a = a. Solve 0 = -v - a*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -43 - -45.3. Let z = -2.341 + h. Let j = z + 1.041. Which is smaller: j or 3\/2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1830 to the power of 1\/2, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -281 - -276. Suppose -3*t + 2 = -1. Which is the third smallest value? (a) t (b) p (c) 1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -235, -197, -129, -25, 121, 315, 563, 871?\nAnswer: 1245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 406 = 16. List the prime factors of t.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -40*s**3 + 2411036*s**2 - 14223412*s - 18563160 = 0. Calculate s.\nAnswer: -11\/10, 7, 60270","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n. Let p = -2 + 4. Let u = p + 3. What is the remainder when u is divided by w(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 53, -2, -3 in ascending order.\nAnswer: -6, -3, -2, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the third derivative of -97*j**6\/15 - 34*j**4\/3 + j**3\/6 - 70*j**2 + 5. Find the second derivative of g(r) wrt r.\nAnswer: -4656*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3290 - -17\nAnswer: -3273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2455 + 32?\nAnswer: 2507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 + 27 - 8)*(-18 + 6 - 3*l + 29).\nAnswer: -114*l + 646","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1359 is divided by 673?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10186*b**2*l**2 - 690*b**2 + 8*b + 1 wrt l?\nAnswer: 20372*b**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 713096.\nAnswer: 2, 89137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*t = -3*f + 77, -785 = t + 2*f - 13*f - 44 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12009304?\nAnswer: 2, 89, 101, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 682205.4 seconds?\nAnswer: 189.5015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (429\/(-66))\/(1\/(-2)). Let u(n) be the second derivative of 0 - 2\/3*n**3 + r*n + 0*n**2. Let k(q) = -3*q. Give k(u(h)).\nAnswer: 12*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*t*w**2*x**2 - 325*t*w*x**2 + 295*t*w*x - 6*t*x - 6*w**2*x**2 + w**2 - w*x - x wrt x.\nAnswer: 16*t*w**2 - 650*t*w - 12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -30*h**5 - 19264*h**4 - 3151008*h**3 - 18774752*h**2 - 26717088*h - 3235968 = 0.\nAnswer: -318, -4, -2, -2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of 2 and -8.2229.\nAnswer: -6.2229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1775, 5\/2, -6 in increasing order.\nAnswer: -1775, -6, 5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 - 4*t**2 - 6*t + 13. Let p be b(5). Let o be p\/16*(-168 + -1 + 3). Sort o, 1, -4 in increasing order.\nAnswer: o, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -623 - -350. Let w = j + 451. Suppose 3*f = -y - 0*y + w, -2*y + 124 = 2*f. Is 32 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 14248?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 70 and 78?\nAnswer: 2730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2298.174 - 2301. Let g = h - 0.074. Let o = 2.7 + g. Which is bigger: 0.16 or o?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1216 and 4?\nAnswer: 1216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.04 + -0.04. Suppose g + 4*d = 25 - 6, -4*d = 5*g - 15. Let h be -6 - ((-84)\/(-9))\/((-3)\/2). What is the closest to g in j, h, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8114 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.5 - 0.3. Let z be -4*((-9)\/(-30))\/(189\/35). Which is the nearest to 1\/2? (a) 3 (b) z (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2532424073?\nAnswer: 2532424073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*u**2 - 5*u**2 + 24 - 24 to the form h*u**2 + c + r*u and give h.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6240 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 139729 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.13489 + -97.86511. Which is the biggest value? (a) 0.5 (b) 1\/4 (c) -0.2 (d) u (e) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m = -31 + 75. Solve -4 = 4*l, k - 3*l + 5*l = -m for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p*p**1*p)\/p)**9)**(-28)\/(p\/(p\/p**(-4))*p*p\/p**(2\/5)*(p\/(p**(-3\/5)*p*p))\/p**(-2)) assuming p is positive.\nAnswer: p**(-3776\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3258757073.\nAnswer: 11, 13, 22788511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.06 + -0.06. Let j = 0.07 + -0.27. Let z = -170 - -846\/5. Put z, y, j in ascending order.\nAnswer: z, j, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78978336607 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.4, -3\/19, -0.4.\nAnswer: -3.4, -0.4, -3\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - -5. Let r(v) be the first derivative of -v**3\/3 + 4*v**2 - 7*v - 1. Let i be r(c). Sort -3, 4, i in increasing order.\nAnswer: -3, 4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(175)*1 + (sqrt(7) - sqrt(35)\/sqrt(5)*5))**2 + -4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 8 = -3*u, 13 = 3*a + 16. Let n be -804992 - (12 + (-4)\/u). What is n rounded to the nearest 10000?\nAnswer: -810000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*g + 23 - 89 + 29 to j + a*g and give a.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 543709 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68111 is divided by 32454.\nAnswer: 3203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 10 * -129014723\nAnswer: -1290147230","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -9111 times -11\nAnswer: 100221","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*d + 11 - 1. Let a(m) = m**3 + 5*m**2 - 2*m - 3. Calculate the lowest common multiple of a(-5) and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.013 * -0.2\nAnswer: 0.2026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10\/(-1) + -2 + 4. Let m(i) = 2*i**2 + 10*i + 24. What is the units digit of m(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*c - 8. Let z be 1 - (-1)\/((-1)\/(-1)). What is the third derivative of 9*j**3 - 9*j**3 + 5*j**z - 11*j**c wrt j?\nAnswer: -660*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6556000 rounded to the nearest one hundred thousand?\nAnswer: 6600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -108\/3623 or -1?\nAnswer: -108\/3623","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 3*o**2. Suppose -2*s - 2*n = -106, 2*s + 4*n - 7 = 97. Let a(v) = -s*v + 25*v + 36*v. Give c(a(u)).\nAnswer: 147*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 - 12. Suppose -3*v - 2*b + 20 + 13 = 0, c*b - 6 = v. Suppose -3*o + 2*m - 3 = 0, 2*m + v = 5*m. Calculate the greatest common divisor of 8 and o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 58 - 50. Calculate the greatest common divisor of 88 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1163\/100 - -347\/25. Factor 15\/4*b**4 - 21\/4*b**3 - 3\/4*b**5 + 0*b + 0 + m*b**2.\nAnswer: -3*b**2*(b - 3)*(b - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 3*f - 22. Let g(x) = -24*x. Calculate u(g(v)).\nAnswer: -72*v - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = c - 7, -6 = -125*y + 123*y - 4*c for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/3536335 and 111\/5658136?\nAnswer: 28290680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-21 - -24) + 3*1. Suppose n - 12 - f = 0. What is the smallest common multiple of (8\/(-4))\/((-4)\/n) and 24?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2304749.\nAnswer: 2304749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 160*y + 0*y - 37*y.\nAnswer: 123*y + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2 + 0. Suppose -2*s = 0, -s = 3*q + j*s. Suppose -5*d = -q*d + c - 113, 4*d - 3*c - 79 = 0. Is 11 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 57334 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/30)*(f\/(f\/f**(1\/3))*f*f)\/f)\/((f*f**(6\/5))\/f**(3\/7)) assuming f is positive.\nAnswer: f**(-17\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-34)\/42 - (-35)\/245\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -72 + -7. Let o = b + 74. Let l be 5\/12 - (-1)\/(-2). What is the third smallest value in o, 5, l?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 242, 8, 40 in descending order.\nAnswer: 242, 40, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pcfc when four letters picked without replacement from {p: 1, c: 3, f: 2, j: 1, b: 5}.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/(38\/10640*-70)?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1602 or -1604?\nAnswer: -1604","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rqrttafqrffarf. What is prob of picking 1 a, 1 q, and 1 r?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000382 to 5 decimal places.\nAnswer: 0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -50*54512\nAnswer: -2725600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 14*q**3 + q**2 - 2*q - 1. Let p be s(-1). Let x be ((-1)\/(-2))\/(6\/p) + 2. Solve -l - x = 2*m, 0 = 4*l - 2*m + 5 - 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a litre in millilitres?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -2*x. Let s be (1 + 2)\/(2 + -1). Let t(r) = -2*r. Let n(w) = s*o(w) - 2*t(w). Let j(c) be the third derivative of -c**4\/12 + c**2. Calculate j(n(p)).\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -7*s**2 + 4*s + 2. Let h(v) = -v**2 + 1. What is -f(t) + 6*h(t)?\nAnswer: t**2 - 4*t + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, 5, -4\/7, -0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -3, 4\/15, -1, 2, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/8*(3283\/(-147) + 47).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the first derivative of -13*y**3\/3 + 5*y**2\/2 - 5*y - 2299. What is v(1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15.8 + -15.7999404. Round z to 5 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 310 divided by -5.\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -45427\nAnswer: -4\/45427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 32.896? (a) 0.1 (b) -4 (c) 0.486\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and -38.\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/16 and -89\/604?\nAnswer: 2416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1*2\/(0 - -1). Suppose 14 = 4*l + p. Let h(u) = 6*u + 3. Let o(x) = -x**2 + 11*x + 5. Let m(r) = l*o(r) - 7*h(r). Let m(k) = 0. What is k?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 277 is divided by 33.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -473 * -56803\nAnswer: 26867819","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 10*l**2 + 1802*l + 49911. Give o(-146).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -3*h - 4. Suppose r + 3 = -5. Let o = r - -10. Suppose 2 = s + o*f + 1, 9 = -s + 3*f. Determine y(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 154 + 150 - 271*g - 304 to h + v*g and give v.\nAnswer: -271","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -o - 1 - 21 + 7 - 11 + 12*o**3 + 4 + 3*o**2 in the form n*o**3 + k*o**2 + r*o + z and give n.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*x**4 + 9*x**2 - 7*x**2 - x**2 + 2*x**4 + 2 as j*x**3 + p + b*x + v*x**2 + z*x**4 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 26\/5 of a centimeter in micrometers?\nAnswer: 52000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/(-2))\/((-2)\/(-8)). Let b be -1*(c - 3) - -110. Suppose 3*u + 4*y - 275 = 0, 0 = -3*u + 5*y + 202 + b. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7\/8, -1.2, 0.3, 4 in increasing order.\nAnswer: -1.2, -7\/8, 0.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 343 + -108. List the prime factors of s.\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 5*z + 4 = 0, -19*b = -24*b - 5*z + 10 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1910, 2179, 2886, 4247, 6478, 9795, 14414, 20551?\nAnswer: 28422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from paayypawpyapaaaha. What is prob of picking 2 a, 1 h, and 1 y?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 474963158?\nAnswer: 2, 237481579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -43*y**2*z**4 - 7935*y**2*z**2 - 3*y**2 + 132898*y*z**3 - y + 2*z**3 - z**2 + 17 wrt z?\nAnswer: -1032*y**2*z + 797388*y + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-27)\/114)\/(-9) + 0\/(-4). Which is the third biggest value? (a) -0.1 (b) 0.2 (c) -2\/15 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*k**2 - 835920*k + 2507805.\nAnswer: -5*(k - 3)*(k + 167187)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 161 or 0.041?\nAnswer: 161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -5*(0 + (0 + 3)\/(-3)). Suppose -r*f = -14 - 6. Suppose 0 = -3*q - 6, -4*w + 3*w - 3 = f*q. Solve -3*g - 2*g + w*n = -5, -2*g - 2*n + 14 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2 - 1 - 0\/1. Let d be (-1)\/(2\/o + 1). Let t be 12\/(-7) - (-2)\/(-7). Is d at most t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express v**2 - 45 + 39 + v**3 + 29 + v as l + u*v**2 + w*v + r*v**3 and give l.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -118 + 226. Suppose 5*h = -2*f + 253, -3*h + 18 = f - r. Suppose -5*j = 3*m - 135, 5*m - f = 2*m - 3*j. Calculate the highest common factor of m and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ty when two letters picked without replacement from {y: 1, t: 4, j: 1, k: 3, x: 5}?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 511*n - 3661 - 4004 for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 9, b: 3}. What is prob of picking 3 b and 1 j?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-1*sqrt(130) + 4*sqrt(130)*-4 + sqrt(130))\/(sqrt(30)\/sqrt(3)*-4 - (sqrt(60)\/sqrt(6) + sqrt(10))*3).\nAnswer: 9*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -f, 2*u - 3*f = -2*f + 8. Which is the nearest to -0.2? (a) -2\/9 (b) -0.6 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1.5, -236, -2\/3, 0.117?\nAnswer: 0.117","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 5) to base 8.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 16352 - -13604. Let q = v - 29955.200064. Let b = q + -0.8. What is b rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*d**2 + 1 + 54*d**2 + 1.\nAnswer: 24*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)\/sqrt(6) + sqrt(11) - sqrt(11))*6 + sqrt(44)\/(sqrt(4)*-3) + (sqrt(1100) - (sqrt(1100) + 1 + -3))*-4.\nAnswer: -8 + 17*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n - 6*n + 60 = 0. Suppose 14 = 4*f + 2*g, -2 = n*f - 2*g - 6. Suppose 1\/5*o**f - 1\/5*o + 1\/5*o**3 - 1\/5 = 0. What is o?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m**(-4\/5)*m)*m*m**5*m assuming m is positive.\nAnswer: m**(39\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 12 + 8. Let d = k - 14. Let i(r) = r**3 - 6*r**2 + 2. Let g be i(d). Solve q - 11 = -5*m, q + 1 = -g*m + 6 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 times -57.783?\nAnswer: -1502.358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -10*g + 56051. Let n(k) = -5*k. What is j(n(m))?\nAnswer: 50*m + 56051","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 + 7*q**2 + 2. Let z be y(7). Let u(i) = i + 4*i**2 - 5*i**z + 42*i**3 - 9*i**3. Is u(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -23474*c**3 + 485*c**2 - 485*c - 970. Let d(x) = 97*x**3 - 2*x**2 + 2*x + 4. Give -485*d(q) - 2*y(q).\nAnswer: -97*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 2038932.\nAnswer: -1\/509733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of m**5\/4 + m**4\/3 - 2*m**3\/3 + 13*m**2 + 38*m. Is t(11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.017631894 and -1.76.\nAnswer: -1.742368106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1014.6 rounded to the nearest 10?\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 + 11*h**2 + 9 + 10 - 14 + 0*h**2.\nAnswer: 11*h**2 - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 111434000 rounded to the nearest 1000000?\nAnswer: 111000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*g - 2*d - 0 - 12, 0 = 4*g + 5*d - 3 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 0 + 2 + (-1 + 0 - 1)*(3 - 3 + 1) - 7 - 6 + 10)*(-3 + 4 - 3)*(2*t**3 - t + t).\nAnswer: 56*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (563 + 16)*2\/6?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(117) + -1 + (sqrt(117) + sqrt(117) + (sqrt(117) + 0 + sqrt(117))*-1 + sqrt(117))**2.\nAnswer: -6*sqrt(13) + 116","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*s - 19*s + 59*s)*(-5 + 4 + s + 0).\nAnswer: 59*s**2 - 59*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -2*f**3 + 0*f**2 - 2*f**2 - 3 + 3*f**3 + 0*f**3. Determine i(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 + 88 = 33*d - 4. Solve 1545 = d*c + 1529 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15976044*h**5 - 32671951*h wrt h.\nAnswer: 319520880*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes after 8:22 PM?\nAnswer: 4:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from minciimnnccnmicfnnn. What is prob of picking 2 m, 1 c, and 1 i?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4 + (-20)\/16*1 and 0 - 1 - (-762)\/(-108).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10029667 to the power of 1\/3, to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*i**5 + 411*i**4 + 14280*i**3 + 13872*i**2 = 0. Calculate i.\nAnswer: -68, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -5 (b) -3\/5 (c) 0.1 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -757085*r = -757185*r - 2300 for r.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-48)*9\/6*-1.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2554865 and 155?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-2)*-6*1. Let r = 0 - p. Does 4 divide 1\/r + 46\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -40141, -160538, -361195, -642112, -1003289?\n\"Answer: -40130*p**2 - 7*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y + 7*y = 15. Which is the fourth biggest value? (a) -1 (b) -1\/3 (c) 5 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1710, 5\/36, -0.246 in decreasing order.\nAnswer: 1710, 5\/36, -0.246","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/4*1)\/((-30)\/20)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -22990750 or -22990746?\nAnswer: -22990746","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -878, -882, -892, -908?\nAnswer: -930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 86.8 - 87. Let g = 0.1 - 0. Let l = -932\/5 - -187. Which is the nearest to g? (a) l (b) k (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (-3 - (1 - 4))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**3 - v**2 - 2*v + 3. Let l = 41 - 39. Determine d(l).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2126, 8477, 19050, 33845, 52862?\n\"Answer: 2111*w**2 + 18*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 21 + -57. Let d = k + 36. Put d, 1, 4 in increasing order.\nAnswer: d, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10069 + -221569\/22. Let d = -9773 + 293327\/30. Calculate the common denominator of b and d.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 17*w + 792. What is the remainder when k(-43) is divided by 35?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67 = -q + 5*q - 3*l, -49 = -3*q + l. Is 8 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 PM and 7:01 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/11*1\/1)\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -11*l**2 - 8*l + 4. Let d(q) = -4*q**2 - 3*q + 1. Let r(y) = 8*d(y) - 3*p(y). Suppose -5*f = -5*x + 5, -5*f + f - 3 = -3*x. What is r(f)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 148\/18 - 4\/18. Let m be 18\/(-24) + (-42)\/j. Suppose -2 = -1070*t + 1069*t. Sort t, m, -2.\nAnswer: m, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1930 is divided by 1910.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/7724306 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -155 + 267. Round l to the nearest ten.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171007 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(-5\/2)*q)\/q**(-19))**16)**(-2\/49) assuming q is positive.\nAnswer: q**(-592\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 9.518968 minutes?\nAnswer: 571138.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/5*10\/(-4). Solve -5*c - s*t + 3*t = -18, c = -4*t + 12 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -104*g**3 - 148\/3*g**4 + 0*g**2 + 0 + 4\/3*g**5 + 0*g = 0.\nAnswer: -2, 0, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -263*x + 2427. What is the smallest common multiple of z(9) and 624?\nAnswer: 3120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 - 5. Let t = -0.05 + 0.05. Let r = 0.3 - -2.7. Put r, t, v in descending order.\nAnswer: r, t, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/1590 and 56\/345189?\nAnswer: 3451890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 - -5. Let o(m) = m + 2*m - h*m. Let x(p) be the second derivative of -p**3\/6 + 5*p. Calculate x(o(j)).\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -129788, 2970, 3 in increasing order.\nAnswer: -129788, 3, 2970","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 47 + -54 + -2 + 5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -10*b + 6. Let w(s) be the first derivative of s**2 - s - 3. Suppose 0 = -h - 3*p - 5 - 6, -5*p - 23 = 4*h. Give h*y(j) - 11*w(j).\nAnswer: -2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 176554044.\nAnswer: 2, 3, 17, 43, 6709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v and 1 w when three letters picked without replacement from cvwcdtc.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2134 + 6394. Let u = z + -494147\/116. Find the common denominator of (6 - 12) + -97*(-3)\/30 and u.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from lmsm.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*z**3 + 5*z + 17*z - 24*z as l*z + p*z**2 + k + a*z**3 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*2)\/(((-24)\/(-104))\/((-534)\/10413))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1617.0569 rounded to the nearest one hundred?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 596517\/477220 + 2\/119305. Factor c*l - 3\/2 - 1\/4*l**2.\nAnswer: -(l - 3)*(l - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f**2 + 5*f - 2. Let w be p(4). Let q(t) = -49*t - t**2 + w*t - t**2. Give q(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1080013 minus -330.3?\nAnswer: -1079682.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - 2*j - 3*j)*(0*j - 5*j + j) - 12*j**2 + 138*j**2 + 29*j**2.\nAnswer: 167*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 2912008.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/9, -5, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 7587, 7567, 7533, 7485, 7423, 7347?\n\"Answer: -7*h**2 + h + 7593","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -72 + 77. What is m in 2\/5*m**3 + 0 - 2\/5*m**f - 2\/5*m**4 + 2\/5*m**2 + 0*m = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.08687 - -19.\nAnswer: 19.08687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in one fifteenth of a hour?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -14 + -1013?\nAnswer: -1031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6007 by 6.\nAnswer: 6007\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -26266675, -26266670, -26266665?\nAnswer: -26266660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oouu when four letters picked without replacement from {d: 1, o: 2, u: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(16) + sqrt(64))*-2)\/sqrt(8) - (6*sqrt(10)\/sqrt(5) + 5).\nAnswer: -12*sqrt(2) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 + d**2 + 5. Let o be s(0). Let v = o + -5. Suppose v = -k - 6 + 15. Does 3 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 34.64159 millilitres?\nAnswer: 0.03464159","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130)\/(sqrt(70)\/sqrt(7)) + 3 + sqrt(1573) + -1 + (sqrt(39)*-1)\/sqrt(3))*-2*-1.\nAnswer: 4 + 22*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = -8, 229635031*v - 27 = 229635030*v - 5*u for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15952135?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -561*g + 4. Let p(m) = -140*m + 1. What is 2*n(i) - 9*p(i)?\nAnswer: 138*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -95 - -187\/2. Let p be (-77)\/60 + 4\/(-16) + 1. Let g = p + 2\/3. Sort n, 9\/7, g.\nAnswer: n, g, 9\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - -1. Calculate the remainder when -2*(-20 - (j + -1)) is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 61 + -54. Calculate the smallest common multiple of 11 and j.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g**3 - g**3 - g**3)*(4 - 1 - 2)*(-1 - 3 - 2).\nAnswer: -6*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 4*x = -12, -5*x = 4*w - 3*x + 6. Suppose -2*c = -w*c - h + 1, -3*h + 3 = -2*c. Solve -5*u = -c*u + 25 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.51686 to two decimal places.\nAnswer: 2.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3990*w**5 + 20*w**2 + 55?\nAnswer: 239400*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -14*y**2 + 24*y**2 - 3*y - 9 - 2 - 6*y**2. Is q(-4) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b**4 - 702*b**3 + 14280*b**2 - 60192*b - 183168 = 0. What is b?\nAnswer: -2, 12, 212","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2038 = -171*y - 2750 for y.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 168\/210*(-25)\/60. Which is the closest to -2? (a) -2\/5 (b) 2\/11 (c) z (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*k**5\/5 - 98*k**4\/15 - 88*k**3\/15 + 392*k**2\/15 - 32*k\/15 = 0.\nAnswer: -2, 0, 1\/12, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 2 r when three letters picked without replacement from reeerrerxrerrre?\nAnswer: 4\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.70857405 rounded to three decimal places?\nAnswer: -0.709","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -806, -2065, -4166, -7109?\nAnswer: -10894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2. Let g(x) = 729*x + 20. Give z(g(v)).\nAnswer: 531441*v**2 + 29160*v + 400","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 151*m**2 - 456*m + 199*m + 258*m as v*m + u*m**2 + c and give u.\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24 - -27. Suppose -j*q = -2*u + 86, -2*u + 0*q = -5*q - 94. Is u a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -97.9 - -98. Which is the nearest to q? (a) 1\/17 (b) -5\/3 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -896.72313 rounded to the nearest integer?\nAnswer: -897","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 7192?\nAnswer: -5\/7192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 380852*x**2 - 4786*x - 83 wrt x.\nAnswer: 761704","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*p - 126*p - 394*p - 1182 + 12422 = 0 for p.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 PM and 3:52 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1982 by 163.\nAnswer: -1982\/163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 936946 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 376783 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6 + -4)*(1 + 1). Suppose 5*g = 10, 0 = 2*u + s*g - 3*g. Let b(h) = -14*h**3 + h + 1. What is the tens digit of b(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 - 16. Let z(g) = -3 + 3*g**3 + 1 + 2*g + 4. Let q(r) = -3 + 0 - 5*r - 7*r**3 - 2. What is l*z(f) + 2*q(f)?\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30907980 and 1620.\nAnswer: 30907980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = b - 85, 3*v - 139 = -3*b + 62. What is the highest common factor of b and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 0.13?\nAnswer: -0.039","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i. Let m(o) = 5 - 13 + 2*o + 8. Give g(m(c)).\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 26336 and 10298199?\nAnswer: 823","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/74, -0.5, -0.1, 6, 3, 7?\nAnswer: -3\/74","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -44244, -88808, -133372, -177936, -222500, -267064?\n\"Answer: -44564*u + 320","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 77\/197640 and -167\/17280.\nAnswer: 3162240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 PM and 11:47 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 2\/9, -0.1, 0, 443, -7?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51 (base 9) to base 6.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of k**5\/60 - k**4\/24 + k**3\/6 + 55*k**2 + 1. Let d(o) = 4*o**2 - o + 2. Let q be -1 + -1 + 1*3. Give q*l(p) - d(p).\nAnswer: -3*p**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p**2 + p + 3. Let c(v) = -v. Determine 3*c(m) + x(m).\nAnswer: 2*m**2 - 2*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 898751 in 3\/8, -4, 4, -0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 176\/33 + 4\/(-3). Suppose -12*b - 533 = -14*b - 3*f, p*f - 274 = -b. What are the prime factors of b?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 4*x - 40 = -3*f, -30 = -5*f + 5*x. What is the tens digit of f\/52 - (-1098)\/13*4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17 - 16.99999998. Round d to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 7. Suppose 75 = 3*u + t*u. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(32) + sqrt(8) + sqrt(8) + (sqrt(96) - (-1*sqrt(96) + sqrt(96)) - sqrt(96))\/sqrt(12))\/(5*(sqrt(4) - (sqrt(8)\/sqrt(2) - sqrt(4)))*1).\nAnswer: -4*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 AM and 11:36 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 6*i**2 + 9*i + 2. What is the remainder when 104 is divided by j(-3)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 224 divided by 4\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -53*k**4 + 52759*k**2 - 2*k**3 - 52759*k**2 - 18*k**4 + 634 wrt k.\nAnswer: -284*k**3 - 6*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 921494 divided by 2\nAnswer: 460747","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118633?\nAnswer: 118633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (52*1183\/17576)\/((-56)\/10)?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 6, 29, 90, 207, 398?\n\"Answer: 3*o**3 + o**2 - o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -9415, 4, -11 in decreasing order.\nAnswer: 4, 0, -11, -9415","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -2*o. Let l(s) = -214*s**2 + 1058*s + 787*s + 2152*s + 216*s**2. Give l(y(d)).\nAnswer: 8*d**2 - 7994*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1316, 2673, 4060, 5477?\n\"Answer: 15*h**2 + 1312*h - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 265619?\nAnswer: 265619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1036, -4, 0, 10, -149 in ascending order.\nAnswer: -149, -4, 0, 10, 1036","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 699462 divided by 116577\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 892.2051g to milligrams.\nAnswer: 892205.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vgvv when four letters picked without replacement from {v: 6, g: 6}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3618*m + 3272*m + 486 - 486 - 4846*m.\nAnswer: 2044*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 237373 (base 10) in base 16?\nAnswer: 39f3d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -3 + 2 + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + ((-1071)\/18)\/(-17)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1110000100 + 100111?\nAnswer: 1110101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 y when two letters picked without replacement from {v: 1, b: 2, y: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.238815 to 2 decimal places.\nAnswer: -2.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes after 7:22 PM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 766*b**2 - 1736 - 3794*b**2 + 1736 as o + h*b + i*b**2 and give i.\nAnswer: -3028","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 20560 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: What is 550468.4 millennia in years?\nAnswer: 550468400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*d**2 - 114*d*u**2 - d*u*v - 4126*d*v + 2723*u**2*v - 546*u**2 wrt d?\nAnswer: -6*d - 114*u**2 - u*v - 4126*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, 26, 65, 124, 209, 326?\nAnswer: 481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*g**2 - 672*g + 672*g.\nAnswer: 10*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*d + 2*d + 2*d)*(-2 + 3 + 1) + (99 - 33 - 49)*(-d + 0 + 0) + 2*d - 6*d - 2*d.\nAnswer: -27*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 209, 857, 1937, 3449?\n\"Answer: 216*d**2 - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 - 4*b**2 + 60*b + 236. Determine a(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1422248?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 7 = h - 22, 3*h - 21 = -2*w. What is the first derivative of w*y + 0*y - 63 + 5*y**2 - 2*y**2 wrt y?\nAnswer: 6*y + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is i in -i**3 + 59092*i**2 - 873084288*i + 3491391744 = 0?\nAnswer: 4, 29544","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 462, 481, 526, 609, 742, 937?\n\"Answer: 2*p**3 + p**2 + 2*p + 457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 304*y + 286*y + 41*y + 150*y + 59*y to i + x*y and give x.\nAnswer: 840","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - 20011?\nAnswer: -20022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8437 and 286?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 - 116*l**2 - 605*l - 21. Determine n(121).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do 12 and 1.6 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 6\/40*1896\/158*25\/3\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of 0*y - 73\/2*y**4 - 3125\/14*y**7 + 0 - 2375\/8*y**6 + 345\/2*y**5 - y**2 + 4*y**3. Factor j(k).\nAnswer: -3*(k + 1)*(25*k - 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -23 + 1?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-49 - -37 - -18) - (1 + -24)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -259 = -y + 3*v, -v - 1218 - 105 = -5*y. Let b = y + 174. Is b less than or equal to 439?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 3*c. Suppose -4*b = -2*d - 2*d + 372, -2*d + b + 186 = 0. Suppose -28 + d = 13*p. Sort p, -2, c in decreasing order.\nAnswer: p, c, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 - 5. Let i be (6\/(-6))\/((-2)\/42). Suppose 13*r = 6*r + i. Sort r, -5, j in decreasing order.\nAnswer: j, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.6 + 0.4. Which is the third biggest value? (a) -0.4 (b) p (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1956876?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -6358*t + 19695. Is p(-107) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 greater than 36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 23 + 25 + 277*y**5 - 288*y**5 + (2*y**3 - 4*y**3 + 0*y**3)*(2*y - 2*y - y**2) + (-3*y**4 + 0*y + 0*y)*(-3*y + y + 4*y).\nAnswer: -15*y**5 + 48","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -33100 (b) -30\/7 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 4*p**2 - 4*p + 3. Let g(w) = 2*w**2 - 2*w + 1. Suppose 6*i - 20 = 2*i. What is i*g(z) - 2*l(z)?\nAnswer: 2*z**2 - 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 + 8*i - 34. Let s be g(-12). Suppose s*d - 137 = -53. Solve 4*q - 22 = -d for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 10*n + 632 - 628 = 15*n, 0 = -4*w + 3*n - 18 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2449*l - 6912*l + 2227*l + 2244*l.\nAnswer: 8*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**3*h)\/(h\/(h\/(h**1*h))*h)*(h*h*h**(-2\/7)*h)**(-17) assuming h is positive.\nAnswer: h**(-309\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -318 divided by -159\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128 = 29*o - 70 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 107*l**2 - l + 3. Let n(f) = -534*f**2 + 6*f - 16. Let v(d) = -14*c(d) - 3*n(d). List the prime factors of v(2).\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 0 = -q. Suppose -71 + 15 = -q*b. Which is smaller: b or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -3 + (12 - 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * -4124\nAnswer: -1649.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -865 + 865 - 36*a**2 + 65*a**2 - 32*a**2.\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 116 = -4*m, -3*m = a + 4*a - 92. Suppose 5*l - m = 1. Suppose l*t - 22 = -2*f, 4*f + f = 5. Solve -t*x + 4*z = 3*z - 15, 4*x = 5*z + 11 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((h\/h**26)\/h)\/h)\/h*h**(-2\/55))**(-11\/6))**(-4\/11))**(-2\/135) assuming h is positive.\nAnswer: h**(2056\/7425)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t**4 - t. Let a(n) = 2*n**6 - 152*n**4 + 48*n**2 - 5*n - 5. Let u(o) = -a(o) + 5*b(o). What is the third derivative of u(i) wrt i?\nAnswer: -240*i**3 + 3888*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 3, 1065, -7, -5, -1, -42 in ascending order.\nAnswer: -42, -7, -5, -2, -1, 3, 1065","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/34*(-4)\/(-10). Let h be (-8)\/28 - (-18)\/14 - 1. Which is the nearest to h? (a) 2 (b) 0 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 13062 + -5426. List the prime factors of g.\nAnswer: 2, 23, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12152 + 23639 + 269 + 28396)*(-o + 0*o + 2*o).\nAnswer: 40152*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b - b**2 + 5*b)*(-2 - 24*b + 0 + 32*b).\nAnswer: -8*b**3 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -386317 divided by -76.\nAnswer: 386317\/76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - 0)\/(1\/1). Suppose -u = 4*u + 3*m - 31, d = 4*u + 5*m - 30. Let v = 8 - u. Solve -x - 2 - 11 = -3*o, -3*o = 3*x + v for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (28*x**2 + 3*x - 6*x + x)*(2 - 14 + 6 + (3 - 2 - 3)*(4 + 1 - 6)) in the form j*x + s*x**2 + t and give s.\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 * 11.77.\nAnswer: 70.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 190138 is divided by 7035?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = 42 - 48 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8612.\nAnswer: 2, 2153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((l**(-2\/11)*l)\/l)\/l)\/l*(l*l**(-1\/4)\/l)\/l*l)\/(l**(-3)*l**(-1\/3)))**37 assuming l is positive.\nAnswer: l**(4403\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x**5\/11 + 290*x**4\/11 - 1114*x**3\/11 + 1542*x**2\/11 - 932*x\/11 + 208\/11 = 0.\nAnswer: -52, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1e113 (base 16) to base 12\nAnswer: -5b32b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.052259592097835 and 10.\nAnswer: 10.052259592097835","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and -138546.\nAnswer: 55418.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3121238.\nAnswer: 2, 23, 67853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 4*h - 40 = 0, -5*b + h + 36 = -0*b. Let p = 10 - 5. Let m(g) = -2*g**3 - 2*g - 7. Let w(l) = 3*l**3 + 3*l + 11. Calculate b*m(y) + p*w(y).\nAnswer: -y**3 - y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 6343833 to the nearest ten thousand.\nAnswer: 6340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((8\/40)\/((10\/(-4))\/5))\/(237\/4740)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/15)\/((-66)\/(-15)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*r + 550 - 54 = 0 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5607 + 5676. Suppose -3*s + 4*s = 5. Calculate the least common multiple of p and s.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -14*l - 44. Let i(y) = -5*y - 15. Let t(w) = 17*i(w) - 6*x(w). Let j be t(10). Which is greater: j or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 11:48 AM?\nAnswer: 5:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add -2481315 and -0.1.\nAnswer: -2481315.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of -5*y**7\/42 + 3*y**6\/2 - 1672*y**4\/3 + 2*y - 588. Find the third derivative of k(i) wrt i.\nAnswer: -300*i**2 + 1080*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 45 + 41. Suppose 2*f = -16 + t. Is 7 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 + d + 24. Let i be h(0). Let y = -51 - -52. Suppose -5*v + i = -y. Solve o - 4*p - 11 = 0, -v*o - 3*p + 5 = 2*p for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -2363451112, -2363451111, -2363451110, -2363451109?\n\"Answer: i - 2363451113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 4*z - 1 = -5, n - 5*z = 2. Solve 4*d + n*v + 8 = 0, -d - 7*v - 2 = -2*v for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 963, 953, 943, 933?\n\"Answer: -10*w + 973","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 PM and 9:56 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25 + -24.9886. Let v = -0.0113683 + m. What is v rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 h, 1 z, and 1 b when four letters picked without replacement from {z: 1, h: 8, r: 1, p: 5, b: 2}?\nAnswer: 4\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of -1 - 19*q**3 - 1 + 7*q**3. Let c(y) = 1145*y**2 - 2313*y**2 + 1166*y**2. Determine m(c(z)).\nAnswer: -144*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, 1420, 2, -6, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 3:59 AM?\nAnswer: 10:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -2*f**2 - 5. Let b(p) = 10*p**2 + p + 18. Let c(h) = -2*b(h) - 9*x(h). Let i(n) = n**2 + n - 4. Give -3*c(l) - 7*i(l).\nAnswer: -l**2 - l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 304 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -591 - -590.9342. Let p = v - -0.066073. What is p rounded to 5 dps?\nAnswer: 0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from zszsiuzssirrssruzssz.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -5212426 (base 7) to base 11\nAnswer: -39776a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -p - p - 11, 3*p = 4*c - 29. Suppose 4*h - 3*h - 6 = 0. Let x(g) = 0*g + h*g - 5*g**2 - 3*g - g + g**3 - 6. Calculate x(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 2*n + 294, -2*s + 1421*n + 285 = 1418*n. What is the remainder when 925 is divided by s?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 2 - 1)*(4 + 35*z - 17*z - 17*z)*(10*z + 7*z - 3*z) - 3*z**2 - 4*z**2 + 6*z**2 as m*z + f*z**2 + k and give m.\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -2 - 6 - (-17 - (13 - 33)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 3 - 7. Suppose 1 = -3*v - 5*b, -5*b - 8 = 6*v - z*v. What is the units digit of (-1 - -2)*(4 - v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 184188 is divided by 3221?\nAnswer: 591","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2*(((-14)\/(-1))\/7)\/10. Which is smaller: 457 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 6*n**2 - 54*n + 12. Let t(r) = -2*r**2 + 12*r - 3. Let c(m) = -2*o(m) - 9*t(m). Let q(h) = 0*h + 0*h - h**2 + 0*h**2. Calculate q(c(d)).\nAnswer: -36*d**4 - 36*d**2 - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 570 divide 386460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -9*y + 2. Determine b(4).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-42)\/((-11)\/((-165)\/(-45))).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26, 54, 82, 110?\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -22*s**3 - 15*s**2 + 82*s - 38. Let t(c) = 7*c**3 + 5*c**2 - 27*c + 13. Let j(a) = -2*m(a) - 7*t(a). Factor j(d).\nAnswer: -5*(d - 1)**2*(d + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 5*d - 195579 + 195598 = 0, -161 = 4*z - 3*d for z.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 33079 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 1224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -88, -174, -256, -334?\n\"Answer: 2*k**2 - 92*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -3974783*w + 23848694. Calculate r(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 79, 0, 5, 65, -1 in ascending order.\nAnswer: -2, -1, 0, 5, 65, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*t + 662 - 171 = 7*t - 199 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 12*y**3 - 1905286*y**2 + 3492994*y - 1587720 = 0.\nAnswer: 5\/6, 1, 158772","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the second derivative of -s**6\/360 + s**3\/6 + 3*s - 8. Let n(k) be the second derivative of x(k). Let m(r) = -r. Give m(n(h)).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 3*t - 16. Suppose 2*b + 27 = 5*b. Suppose -j + n = t*n + b, 0 = j - 4*n - 19. Sort j, -2, -4 in decreasing order.\nAnswer: j, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 231 = -2*r - f + 233, f + 3 = 3*r + 3*f for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1340 is divided by 79?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 4:40 PM?\nAnswer: 4:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -7*f**3 - 2*f**2 + 10*f + 1. Let a(j) = 13*j**3 + 3*j**2 - 19*j - 2. Let w(i) = -6*a(i) - 11*x(i). Let q = 57 - 52. What is w(q)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*u - 252*u - 410*u + 121*u - 23985 = 0 for u.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*x**2 + 4*x**2 + x**2 + 3*x**2 + 0*x**2 - x**2 + (2*x**2 - x + x)*(2 + 2 - 2).\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 521 - 277*t - 3995*t - 521 in the form b + p*t and give p.\nAnswer: -4272","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 430 - -12202401?\nAnswer: 12203331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21 - 34. Let u = 7 + p. Let a = u + 8. Solve a*y - 5*k = -4*k - 11, -19 = 4*y - k for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.2 + 4. Let a = 0.04 + 0.26. What is the third biggest value in a, 0.4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10798 + 1231*z + 43180 - 10797 - 10790 - 10795.\nAnswer: 1231*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/5 - 55231*p\/5 - 165684\/5.\nAnswer: -(p + 3)*(p + 55228)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -247, -27, 90 in decreasing order.\nAnswer: 90, -27, -247","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -2510\/939, -1, 7, -5, -3 in decreasing order.\nAnswer: 7, -1, -2510\/939, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1896, -1888, -1864, -1818, -1744, -1636, -1488?\nAnswer: -1294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes after 1:25 PM?\nAnswer: 6:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sd when two letters picked without replacement from ddsdddds?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2655381 is divided by 476.\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.8 * -11.06015.\nAnswer: 8.84812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 + 11*m**2 + 15*m + 1. Let i = 16 - 4. Is g(i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 14, 58, 140, 266, 442, 674?\n\"Answer: i**3 + 13*i**2 - 2*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16989038 + 4967139 = -59*i. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9 + 2 - 19)*(-2 + 2 - 2)*(-3 + 3 + 1)*(0*g - 8*g + 2*g)*(-g + 4*g - 2*g) to u + n*g**2 + h*g and give n.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5863879 and 1675394.\nAnswer: 11727758","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add 18964033 and 0.1.\nAnswer: 18964033.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 73, -2\/9, 1, -1, -2\/5, -0.24 in ascending order.\nAnswer: -1, -2\/5, -0.24, -2\/9, 1, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96 = -4*r + 3*j, -48 = -2*r + 9*j - 8*j. What is the remainder when r is divided by 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 255, 503, 739, 957, 1151, 1315?\nAnswer: 1443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - -13. Let z = -22 + q. Let v(n) = -n - 5. Let a be v(z). Solve -18 = a*t + 2 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 1*(sqrt(1216) + -2*(0 + sqrt(1216))) + -1 + -4)**2 + 2.\nAnswer: 160*sqrt(19) + 1318","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes before 4:39 AM?\nAnswer: 4:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 - 126 = -4*v - 120. Which is the fourth biggest value? (a) 0.5 (b) -0.2 (c) v (d) -2\/7 (e) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2483 and 3.03?\nAnswer: 2486.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by -7.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -z**2\/4 - 3201*z\/2 + 6403\/4 = 0.\nAnswer: -6403, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -i - 0*i + 191, i + 4*d = 193. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-247 - 99 + 152 - 161)*(-3*v + 0*v + 4*v + (-3*v + 5*v - v)*(2 + 2 - 6) - 5*v + 3*v + 4*v - 2*v + 5*v - 9*v) in the form z + c*v and give c.\nAnswer: 1775","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 + 6*g**2 + 4*g + 14. Let q(w) = -w**3 - 5*w**2 - 3*w - 15. Let u(f) = 4*q(f) + 5*t(f). What is the tens digit of u(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -40 - -1684?\nAnswer: 1644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jsjs when four letters picked without replacement from {s: 10, j: 9}?\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + -1 + 133 + -122.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 54072?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/63*12\/(-8). Let l = -7.038624 + 0.038624. Which is the smallest value? (a) 9 (b) l (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 12294*b + 2119. Is r(18) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04703 to three decimal places.\nAnswer: -0.047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0\/(-3 - (-1)\/1). Suppose -3*c - 3*j + 48 = -p*c, 2*j = 2*c - 36. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 1 = -4*y, 5*u - 2*y = -707. Is 9 a factor of u\/(-4) - (-8)\/32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5\/22 - 7\/55. Let k = 0.06 + 0.24. Let d be 2*(-2)\/4 - 52\/(-44). What is the closest to 0 in h, k, d?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 511 + -515. What is the remainder when 103 is divided by -26*9\/18*w?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k**2 - 11*k + 14 + 7*k + 4*k.\nAnswer: 3*k**2 + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 3313*z + 3849. Let n(v) = 3314*v + 3896. Let r(g) = 7*a(g) - 6*n(g). Find the first derivative of r(i) wrt i.\nAnswer: 3307","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3617963 by -5.\nAnswer: 3617963\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 1\/2 (b) 5 (c) 9\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-4)\/10)\/(3\/15). Let z(n) = -n + n**2 + 2*n + 2 - 3*n + 3*n. Let j be z(q). Solve 0 = j*m + m - 20 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q + 2*u + 2, -4*q + 0*q - 19 = -3*u. Let l be 4\/(q\/(-14) + 0). What are the prime factors of (l\/6 - 3)*-21?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(144) - (-4*(sqrt(144) - (sqrt(144) + (1*sqrt(144) - sqrt(144))) - sqrt(144)) + sqrt(144) - sqrt(144)))\/sqrt(6))\/(sqrt(48)\/sqrt(4)*1*1))**2.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 take away 0.0674?\nAnswer: -1.0674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2069 = 81*u - 449 for u.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 4 - (-18 - (-12 - 8))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 - -4. Let g = 4 - k. Suppose 22 = -t + g*t. What are the prime factors of t?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 11, j: 5}. What is prob of picking 2 o and 2 j?\nAnswer: 55\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + 6 + 10, -4*h = -4*a - 4. Sort h, -4, 7 in decreasing order.\nAnswer: 7, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 14*l. Suppose -14*w - 5 = -33. Let z(s) = 1576 + 3*s**w - 1576. Determine v(z(q)).\nAnswer: 42*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 90*o + 21*o + 19*o + 31*o to t*o + g and give t.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = h, 4*h - 5 + 25 = -3*u. Let g(j) = j**2 + 2*j + 3. Let b be g(u). Differentiate -3*x**4 + b + 4 - 1 + 4*x**4 wrt x.\nAnswer: 4*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2791, -2823, -2893, -3013, -3195?\nAnswer: -3451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - -241?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 - 3*h**2 - 6*h + 6. Let r be j(4). Let o be ((-3)\/r)\/(12\/8). Suppose 4*q + 0*p - 2*p - 2 = 0, -4*q + 4*p - 4 = 0. Is q at most o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 times 9091?\nAnswer: 2754573","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 430416 (base 14) to base 7\nAnswer: 25162226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 0*j**4 + 7*j - 3*j + 8*j**3 - 2*j + 3*j**4 + 7*j**2 = 0.\nAnswer: -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -3 + 3 + sqrt(8).\nAnswer: -2 + 2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (25197 - 25204) + (1 - -117)\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6996322, 13992695, 20989068, 27985441, 34981814?\nAnswer: 41978187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2190 + 1368 = -20*n - 1302 for n.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*g**2 - 104*g**2 - 94*g**2 - 87*g**2 - 93*g**2 + 424*g**2.\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16964 + -15214. Calculate the lowest common multiple of n and 350.\nAnswer: 1750","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -187.28 rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 - 8*j - 7. Let n be y(-6). Suppose n = 2*x - 5. Differentiate -x*f**4 + 4*f**4 - 1 - 1 wrt f.\nAnswer: -4*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 3 - 1. Let p be 24*(-4)\/(-32) - -2. What are the prime factors of 3 - (-406)\/10 - w\/p?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 840766795?\nAnswer: 5, 11, 647, 23627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 13898 - 14198 + 66*s - 58*s in the form b + d*s and give b.\nAnswer: -300","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.730094 + 0.4?\nAnswer: 37.130094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 + -2)*(4 - 2). Let l = m + -1. Put l, -2, 2 in descending order.\nAnswer: 2, l, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113*c - 135*c = 18*c + 266 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -4*k**3 + 41*k**2 + 268*k + 247. Calculate d(15).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2636 + -21145\/8. Find the common denominator of p and (-2)\/6 - 71\/9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 117, 82, -59, -360, -875?\nAnswer: -1658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 436 - 241. Calculate the greatest common factor of 39 and w.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -36 - -43. Suppose 4*y - 2*j = -o*j + 149, 2*y - 91 = 3*j. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.3 - -2. Suppose 52*p = 58*p + 6. What is the third smallest value in -3\/2, -2\/3, p, i?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 902 - 889. Solve -5*q - x*p + 17*p = 26, 0 = -q - 2*p + 6 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u**4 - 61*u**3 + 437*u**2 - 695*u + 318 = 0. What is u?\nAnswer: 1, 6, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.3 (b) -4 (c) 0.1 (d) 25 (e) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 g, and 1 w when three letters picked without replacement from {t: 2, g: 1, h: 1, d: 5, w: 1}?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 161*s**3 + s - 332*s**3 + 49 + 182*s**3 to the form w + l*s**2 + t*s**3 + p*s and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -108*g**4 + 239*g**2.\nAnswer: -2592*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145 = 25*z - x, x = -2*z - 105 + 88 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6731)\/254)\/(9\/(252\/(-35)))*(-15)\/18.\nAnswer: -53\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -107 + 35 + 0*y**2 + y**2 + 72 + 983*y**3 as q*y**3 + h + b*y**2 + d*y and give q.\nAnswer: 983","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the first derivative of -s**2\/2 + 6*s - 106. Let f(z) be the first derivative of z**2 - 6. Calculate f(b(k)).\nAnswer: -2*k + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-11) + (-70)\/(-22). Suppose -3*f + 35 = n - 43, h*n - f - 284 = 0. Let a be n\/33 + (-2)\/(-11). Solve 2*q - 8 = -3*d, -a*q + d + d + 12 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 867 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.4, 3690, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(896)*-1)\/(sqrt(8)\/sqrt(4)*-1)*1 - (sqrt(224)\/sqrt(2) + sqrt(504)\/sqrt(8) - (-1 + sqrt(35)\/(sqrt(10)\/sqrt(2))))) + 4)**2.\nAnswer: 12*sqrt(7) + 37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 97 or 76?\nAnswer: 97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = j - 25. Differentiate 3*d**2 + j*d**2 + 108 - 57*d**2 - 135 wrt d.\nAnswer: -98*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -23 + 242003?\nAnswer: 241540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42 and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 4*f - 224 = 3*f, -20 = 4*f. Let n = -130 + a. Calculate the greatest common divisor of 44 and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 19*b**2 - 9*b - 10. Suppose -3*o - 12 = 0, -2*k + 4*o + 22 = -k. What are the prime factors of a(k)?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15 - 20. What is the smallest value in -0.15, 5, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g + 2. Let j(x) = 1. Let y(o) = 4*j(o) + z(o). Calculate y(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(2*-2*sqrt(605) + -5 + -5))**2.\nAnswer: 3520*sqrt(5) + 39120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate m**2*q**2 - 7*m**2 + 122*m*q**2 - 3*q**2 - 516 with respect to q.\nAnswer: 2*m**2*q + 244*m*q - 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6*-1 - (-1 - -4). Which is bigger: 0 or b?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1 (b) 1\/8 (c) 2\/3 (d) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 51\/313 - 25167\/21910. Find the common denominator of 127\/110 and y.\nAnswer: 770","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-13*(-448)\/(-168))\/4\nAnswer: -26\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 819 is divided by 221.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -249 - -48. Let n = -224 - z. Which is the nearest to 0.1? (a) n (b) 1 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43a477 (base 14) in base 5?\nAnswer: 1041413443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 19072861 to the nearest integer?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((1026\/126)\/19)\/(8\/14)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 PM and 7:06 PM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b when two letters picked without replacement from {g: 18, b: 2}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 310 = 5*d, 2*d + 56 = -b + 2*b. Let z = b - 25. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z. Let h(p) = -5*p + 2 - 7 - 1 + 0. Let i(b) = 45*b + 55. Let c(j) = 55*h(j) + 6*i(j). Calculate c(s(u)).\nAnswer: -10*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (35\/(-5))\/(7 - 8). Solve 14*n + 21 = g*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**3 + 798075*t**2 - 1596141*t + 798069.\nAnswer: -3*(t - 266023)*(t - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = 8 - 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11730\/975 + -12)\/(1\/20*2)?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, i: 2, u: 2, x: 1, t: 1, m: 5}. Give prob of sequence xuiu.\nAnswer: 1\/4290","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 107*j**2 - j. Let z be x(-1). Let w be z\/20 + 4\/(-10). Suppose 542 = -w*k + 12. Round k to the nearest ten.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -19\/866? (a) -7 (b) 2\/7 (c) 1\/4 (d) -2\/3 (e) -2\/11 (f) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -790, -475, -200, 47, 278, 505, 740, 995?\nAnswer: 1282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 66730445?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, t: 8}. What is prob of picking 3 o?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 62, 1\/11, 0, 59\/6, -2\/17, 2?\nAnswer: 62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 94\/11*z + 3\/11*z**2 + 31\/11.\nAnswer: (z + 31)*(3*z + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 421, 918, 1497, 2170, 2949?\n\"Answer: 2*r**3 + 29*r**2 + 396*r - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -3*d**2 + d + 10*d**2 - 5*d**2 + 1. Let y be j(-1). Factor -27*a**2 - 20*a**3 + 19*a**4 + 2*a**y + 10*a - a**4 - 3*a**4.\nAnswer: 5*a*(a - 2)*(a + 1)*(3*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -78\/9253?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (10 - 11) + (-1 + -37)\/2. Let t(b) = -b**2 - 8*b + 5. Let r be t(-6). Let y = r - w. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 121757 (base 9) to base 15\nAnswer: 16bb4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 230 - 227.02. Let d = -0.02 - g. What is the third biggest value in d, 0.5, 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 PM and 6:49 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1755580 is divided by 27.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = -3*a - 10, 120*z + 21 = 121*z - 5*a. What is the nearest to -2 in 1\/97, z, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2*v**3 + 135*v**2 + 82*v + 149. Calculate u(-67).\nAnswer: -856","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1280 = 79*p - 5*p + 709 - 317 for p.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9)\/((-567)\/24)*(-30)\/40. Let k be 3\/9 - (-14)\/(-24). Let h be (-1)\/(-11) - (-11)\/(-121). Which is the closest to h? (a) 2 (b) w (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v**3 - 3*v**2 + 3*v - 1. Let p be o(3). Let z = -2869 + 2877. Solve -4*y - z = -p*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (5 - 3) + 15\/(-6). Let a = -0.5 - -0.2. What is the second biggest value in n, 0, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23*q**2*u**3 - 4*q**2*u**2 - 94*q**2*u + 24*q*u**3 - u wrt u.\nAnswer: -138*q**2 + 144*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 739168 and 224.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/5 of a meter in millimeters?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 9:22 AM?\nAnswer: 9:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*x + 12*x + 9*x)*(-5*x + 16*x - 26*x)*(-6 + 4 + 0) - 3*x + 3*x + 2*x**2 + (1 - 1 - 2*x)*(-2*x + 0 + 0) - 3 - 2*x**2 + 3 - 2*x**2 - x**2 + 2*x**2.\nAnswer: 483*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -27495038*k**3 - k**2 + 2578*k - 362 wrt k?\nAnswer: -164970228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/(-372))\/(-1 - (-2)\/6)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z\/((((z\/(z\/(z**(-17\/5)*z)))\/z)\/z)\/z))*z*z\/(z*z**(-3)*z*z)*(((z**(-2\/17)\/z)\/z)\/z)\/z**(4\/5) assuming z is positive.\nAnswer: z**(-622\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 AM and 10:33 AM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -112223101 (base 4) to base 11.\nAnswer: -63868","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124 - 124 - 3*v.\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -25016, -50032, -75048, -100064?\n\"Answer: -25016*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m\/m**(1\/3)*m**0*m)**20 assuming m is positive.\nAnswer: m**(220\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16843)\/16843*11*5?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 + 22. Suppose -5*j - 45 = 3*g - 136, -g = -4*j - x. Let a be (224\/(-2))\/(-4) - 1. What is the highest common factor of a and g?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15663229.2ns to days.\nAnswer: 0.000000181287375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2014678929 to the power of 1\/3, to the nearest integer?\nAnswer: 1263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 964 (base 12) to base 9\nAnswer: 1784","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -219*a + 6380 = -258*a + 619*a for a.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide (98 + -100)*5\/((-10)\/1116)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -26.43 * -0.1.\nAnswer: 2.643","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, e: 1, m: 2, l: 1, h: 2, n: 1}. What is prob of sequence ne?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 6*f - f. Let n(v) = -v. Let i = 339 - 367. Let a(o) = -4*o - 1. Let m(k) = 29*k + 7. Let u(s) = i*a(s) - 4*m(s). What is f*n(x) + u(x)?\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-14 + 9 - -8) + -21?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*q - 11*q = 8 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4593 + 4617. Solve -7 = -a - 2*v, -3*v - 7 = -5*a - k for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 40, -112, 1, -5, -56.\nAnswer: -112, -56, -5, 1, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -14701 bigger than -15751?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-306)\/(-12) - (1*-5 + 126\/28)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s - 3*s + 3*s)*(-28 + 101 + 67) + 6*s + 4*s - 2*s.\nAnswer: 288*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-4)*(-11)\/132.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 138\/10 + (-4)\/(-20). Suppose 0 = 2*t + 4*c - b, -5*t + 1 = -3*c - 8. Solve t*p - h + 2*h - 10 = 0, 2*p - 3*h - 3 = 0 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 - 5*x + 4. Let a be p(3). Let h(b) = 2*b + 1. Give h(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 117673765508.23 and 0.2.\nAnswer: 117673765508.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-15)\/(-9)*3 - 10\/4. Let o(q) be the second derivative of 1\/6*q**3 - c*q**2 - q + 0. Differentiate o(a) with respect to a.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 2*j**3 - 23*j**2 + 31*j + 12. Let t be v(16). What is the derivative of -2705 + 4*f**2 + 2*f**3 - 4*f**2 + 14*f + t wrt f?\nAnswer: 6*f**2 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = 9*a - 49, -a - 2913 + 2885 = 2*b - 4*a for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 178510*k**3 + 256900.\nAnswer: 535530*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 2*j - 10. Let a(x) = -x + 4. Let p(s) = -7*a(s) - 3*r(s). Give p(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m**2 + 4*m**2 - 2*m**4)*(3 - 2 + 4) - m**2 - 1778*m + 120*m**4 - 2*m**3 + 1778*m.\nAnswer: 110*m**4 - 2*m**3 - m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -2, 3, 2, 76 in decreasing order.\nAnswer: 76, 3, 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -205 - -141. Let v = x + 60. What is the closest to 2\/7 in -0.1, v, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 35 = 5*s. Let z = -45 - -10. Let l = s + z. Is l > 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9.9 * 26.04566\nAnswer: -257.852034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 - 2*b - 1. Let x(o) = 6*o**2 + 6*o - 2. Let f(w) = 3*v(w) + x(w). Suppose 0*m = 3*m - 9. What is the units digit of f(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eelelesqgcgggseg. What is prob of sequence gs?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4889 - -4921. Let k(l) = -72*l - 84. Let s(i) = -11*i - 13. Calculate v*s(o) - 5*k(o).\nAnswer: 8*o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 138054373 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -97*o + 626. Determine s(6).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -9*o**2 + 2*o - 29. Let z(f) = -25*f**2 + 6*f - 88. Give 11*m(c) - 4*z(c).\nAnswer: c**2 - 2*c + 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -5*u + 43. Calculate the remainder when 30 is divided by u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(325) - (sqrt(325) + sqrt(325) + 1*sqrt(325) + sqrt(325))) + -1 - (-3 + (sqrt(325) - (sqrt(325) + -3))))**2 + 5 + 5.\nAnswer: 30*sqrt(13) + 2936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -16*d - 709. Let p(c) = -3*c - 142. Determine 11*p(a) - 2*s(a).\nAnswer: -a - 144","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -3*a**3 - 17*a**2 - 11*a + 34. Let d(z) = -2*z**3 - 11*z**2 - 7*z + 23. Let f(j) = -7*d(j) + 5*s(j). Let i be f(-7). Solve -7 = i*x + 1 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zvznzzznzov. Give prob of sequence nv.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 75917 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23\/(-2))\/(119\/17 + 555\/(-74)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.1 - 3. Let g = 0 + j. Let y(t) = t**2 - 11*t + 2. Let i be y(11). Which is the closest to g? (a) -1 (b) i (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 4*h - 138 = 0, 6*i - 4*i + 4*h = 72. Solve i*t - 16 = 50*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 385432.65ns?\nAnswer: 0.000000107064625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22413 is divided by 76.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-14 + 3)\/(3\/(-6) - 0) is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 692647498?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9977, 20725, 31473, 42221?\nAnswer: 52969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (28\/10 + -2)*2\/(-12).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (17*b + 79 - 79)*(2 + 0 + 0)*(-3 + 0 + 1) as a*b + l and give a.\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 935168.6 grams in nanograms?\nAnswer: 935168600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**(-2\/11)\/m))\/(m**(-2\/3)\/m)*(m*m*m*m**(-7)*m)\/m*m**(-1\/11)*m assuming m is positive.\nAnswer: m**(25\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 16, 3*v + 2*d - 772 = v. Suppose -3*a - 157 = -v. What is the remainder when a is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 + 279 = 4*f. Let j = f + 6. What are the prime factors of j?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/2)\/x)\/(x**(1\/2)\/x)*x\/(x**0\/x)*x\/(x\/x**(8\/9))*x assuming x is positive.\nAnswer: x**(26\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18 (base 10) to base 9.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-478)\/(-9) - (-5)\/(-45). Suppose 5*r - 7 - z = 0. Suppose -4 = 10*a - r*a. Calculate the least common multiple of 138 and a.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of u**8\/14 - 7*u**4\/12 + u. Find the third derivative of m(q) wrt q.\nAnswer: 480*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 8 (b) 21 (c) -2.9 (d) 3 (e) 1\/10 (f) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9769\/660 + 263\/20. Let d = c + 7\/22. Let x = 3.3 - 3. What is the nearest to x in 6, d, -2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 44307 to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 29 = 17. Let m be (v\/6)\/(1\/(-3)). Sort 4, 2, m in descending order.\nAnswer: 4, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.914 times 162?\nAnswer: -148.068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p - 29 = i - 3*p, 158 = -4*i + 2*p. Let w = i + 42. Solve 5*v - 35 = -g - w*g, 2*g + 4*v = 22 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 23381, 23371, 23361, 23351?\n\"Answer: -10*l + 23391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*w + 2*w - w**2)*(2*w - 5*w - 13*w) to the form q + y*w**2 + f*w**3 + b*w and give f.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) -0.1 (b) 0.4 (c) -4 (d) 2851 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -117.1 - -117. Suppose i - 14 = 4*n, -24 = 5*n + 2*i - 0*i. Which is the nearest to g? (a) 2\/15 (b) 2\/17 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m**(-8)*m)*m**(-6)*(m\/(m*m**(2\/15)*m))\/m*m\/(m*m*m**2*m) assuming m is positive.\nAnswer: m**(-62\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 25*h + 0 - 29 - 12 + 19 + 2*h**2 to the form g + a*h**2 + o*h and give o.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, -1\/6, 4, 3\/5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*z**2 + z**3 - 46*z**2 + 553*z**2.\nAnswer: z**3 + 532*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, 6, -1 in increasing order.\nAnswer: -29, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -44 (base 5) to base 2\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 56913343, 56913346, 56913349, 56913352, 56913355?\n\"Answer: 3*f + 56913340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 b when three letters picked without replacement from {b: 2, a: 2, v: 5}?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r. Let o(v) be the second derivative of v**4\/6 + 2*v. Determine o(y(n)).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*x - 106 = 76. Suppose 6822 - 1193 = x*h. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u - 2*u - 25 = 0. Suppose 0 = u*p - 15. Factor 4*r**3 + 7*r**3 - 16*r**p.\nAnswer: -5*r**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xuxxuknnuzgznxxxxnux. What is prob of picking 1 n and 1 x?\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -6.27\nAnswer: -8.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5188\/11 - -474. Let f = 39 + -43. Calculate the common denominator of h and (-23)\/f + (-9 - -10).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f and 2 u when four letters picked without replacement from ddudffirfdulli?\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 + 37 = 10*n. Suppose n*k - 8*k = -40. Calculate the lowest common multiple of k and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 335 = -h, -5*r = -2*h - 3*h - 815. Suppose -168*a + r*a + 114 = 0. Is 19 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 7*r + 68. Calculate the remainder when x(-8) is divided by 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p\/p**(1\/3)*p\/(p*p**(2\/17)))\/(p\/p**(-2\/7))**4 assuming p is positive.\nAnswer: p**(-926\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 100240 - -2?\nAnswer: 100242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i**2 - 3 + 5 - 8*i**2 - 3 + 2*i. Let j(t) = 13*t**2 - 4*t + 3. What is 3*j(u) + 7*k(u)?\nAnswer: -3*u**2 + 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 28 + 35. Suppose -172 - 23 = -5*z. Suppose -b = 3*o - 2*b - 24, b - z = -4*o. Calculate the highest common factor of o and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 212*h**3*i**3 - 51*h**3*i*r - 962*h**3 - 32131*i**3*r - 32*i**2*r + 8*i*r wrt i?\nAnswer: 1272*h**3 - 192786*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5 - -1)*3\/42. Suppose -2*u - 3*f - 44 = 0, 5*u + f + 132 = -f. Let n be 7\/u*8\/3. Which is bigger: n or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/9)\/m)**(4\/11) assuming m is positive.\nAnswer: m**(-40\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 845 - 558. Let m = t - 284. Solve -m*g - 2*g = 5 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 333*u + 440. What is q(-2)?\nAnswer: -226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:45 PM and 10:45 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 - 9*s**2 - 4. Let w be h(9). Put w, -3, 5 in increasing order.\nAnswer: w, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 1 = 0, 4*i + 463 = i - 4*r. Let u = 224 + i. What is the remainder when u is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1136287421 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 1 = l, 2*l - 1 - 2 = -5*i. Let f be 6\/(-9)*9\/2. Let g be 15\/f + 2 + 8. Put g, 0, i in increasing order.\nAnswer: i, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**3 - 9*i**2 - 1. Let l be f(-9). Sort 3, 0, l, 4 in descending order.\nAnswer: 4, 3, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 - 74*c**2 + 8*c - 585. Determine n(74).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6955 is divided by 3269?\nAnswer: 417","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 0.62 (b) -12 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.48*-0.01.\nAnswer: -0.0348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*b = 97 + 418 + 1741 for b.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) -0.4 (c) -11100 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**2 + 0 + 0)*(3*x - 4*x + 4*x - x**2).\nAnswer: -2*x**4 + 6*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**3 - 2*b**2 - 4. Let h = 23 + -26. Give x(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 63973275 and 50250.\nAnswer: 639732750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 - 4268.\nAnswer: -4268.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7123762*c**3 - 7123786*c**3 + 4*c - 4*c + 14247549*c**3.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 PM and 7:29 AM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 8 - 2*o**3 + 5 + 2*o - o**4 + o**2 to the form s + n*o**3 + y*o + f*o**2 + g*o**4 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2991.729607 rounded to the nearest 10?\nAnswer: -2990","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*(-1)\/48*(-243 - -247). Which is the biggest value? (a) -2\/7 (b) -13 (c) 6 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/14)\/(t**(1\/12)*t))\/(t**(3\/4)\/(t*t**(1\/31))) assuming t is positive.\nAnswer: t**(-475\/651)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14997 - 16155 = -48*y. Calculate the remainder when y is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 746496?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, f: 1}. Give prob of sequence mmf.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 + 64*j**2 - 2*j - 17. What is the units digit of t(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 12 = 6*u - 8*u, 3*r = 5*u + 16. Put -7, 3, -45, r in decreasing order.\nAnswer: 3, r, -7, -45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*y + 0*y - 6*y)*(-7*y + 6 - 6) + 3*y**2 + y**2 - 5*y**2.\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -72*(504\/(-14))\/(-144)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1272650?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in ten thirds of a decade?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 384\/(-33) - -2 - (2 - 12).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76 is divided by (-1)\/(-10)*-2 + (-131)\/(-5)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37949355 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 4*c + m - 3, c - 11 = 5*m. Let g = 14 + c. Is g a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, -1, -2 in descending order.\nAnswer: 5, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 4*q + 8. Let g(n) = n + 1. Suppose 66 = -14*w + 52. Give w*g(x) + u(x).\nAnswer: 3*x + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 23247 or 605?\nAnswer: 23247","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u = -23*u - 241*u + 149574. Calculate the remainder when u is divided by 40.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of 1741*p**3\/3 + 50*p - 8. Let r(w) = w**2. Determine r(g(f)).\nAnswer: 12124324*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111111000011 - 0?\nAnswer: -111111000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36 and 3324?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 4*k + 6. Let d(y) be the third derivative of -5\/24*y**4 + 0*y + 0 + 4*y**2 - 7\/6*y**3. Let u be (-13)\/2 - (-2)\/4. Give u*t(w) - 5*d(w).\nAnswer: w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -104425 + 11?\nAnswer: -104414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3617809915.\nAnswer: 5, 723561983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2689 divided by 2\nAnswer: -2689\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 + j. Let p be (-240)\/11 - (-2)\/(-11). Let d = p - -20. Give l(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 214 is divided by 31.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 10*t - 1. Let x(h) = -4*h + 3*h + 2*h - 2*h. Let z(k) = -k - 1. Let j be z(-3). Let l(q) = j*o(q) + 22*x(q). Differentiate l(p) wrt p.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert a024 (base 16) to base 11.\nAnswer: 2888a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1247800 (base 9) in base 8?\nAnswer: -2463076","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 51\/5 of a hour?\nAnswer: 36720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((1262\/5)\/(-1))\/(18\/(-45)). What is k rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(300) + 0)**2 + -5 + -4.\nAnswer: 20*sqrt(3) + 292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -12, 3\/4, 42\/13, -0.02, 3\/2, -2?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 11*w + 1300 = 0. Let n be w\/(-50) - (-6)\/4. Let j(m) = -m**2 + 7*m + 8. What is j(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 + 7*t**2 - 7*t - 7. Let z be u(-8). Let b be (27\/z)\/(1\/(-5)). Suppose -b = -v - 7. Solve -v = l - 7 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q**2 + q. Let p be a(0). Let w be -1*(p + 3)*-1. Solve g + 10 = 3*u, g = w*g + 4*u - 10 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1146084?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 538 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes before 11:59 PM?\nAnswer: 7:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 5*q - 7. Suppose 3*a = q + 9. Suppose 0 = a*f - 15 - 55. Is 6 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51394927600 rounded to the nearest one million?\nAnswer: 51395000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 886? (a) 0.4 (b) -1 (c) -3\/7 (d) -444 (e) 5\/6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of l**7\/420 - 43*l**6\/900 + 2*l**5\/25 - 7*l**3\/6 - 3*l**2\/2 + 47*l. Let v(z) be the second derivative of k(z). Factor v(a).\nAnswer: 2*a*(a - 8)*(5*a - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8 + 1\/(69\/(-513)). Is 1 < p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -48 - -56. Suppose -3*g - 15 = -3*r, -3*r + y*r + g - 49 = 0. Let s = 22 + -21. What is the lowest common multiple of r and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*l**2 + 7*l**2 + 3*l**3 - l**2 + (-1 - 1 + 4)*(159*l - 159*l - 23*l**3).\nAnswer: -43*l**3 - 6*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 176 and 539.\nAnswer: 8624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -530*c - 6552 = 202*c + 4663 + 34901 for c.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + q - 1448. Let i = -488 - q. Find the common denominator of i\/40 + (-1)\/2 and -51\/4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 60 by 7.\nAnswer: 60\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1583 (b) -166 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 281.076 + -281. Let u = -0.076 + x. What is the nearest to -1 in 9, u, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44\/(-33)*(-1194)\/4 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -243739, -244179, -244621, -245065, -245511?\nAnswer: -245959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a3264 (base 16) in base 2?\nAnswer: -1010100011001001100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eleven quarters of a millimeter?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 3*h**2 - 849*h + 1686 = 0.\nAnswer: 2, 281","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 44\/30*120\/220\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of -i**4\/4 + 11*i**3\/3 - 13*i**2\/2 - i - 20. Let f be o(8). Let d = f + -103. Is d less than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 112 + 16. Let s = m + -125. Let z(k) = -k**2 + 2*k. Give z(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4772484 (base 9) to base 10\nAnswer: 2586892","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 221*s + 17. Is r(10) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - (-22 + 4 + -5)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -75*f. Let s(p) = 11*p. Calculate a(s(c)).\nAnswer: -825*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/8 of a tonne in kilograms?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.565751 from 294332205.\nAnswer: 294332205.565751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.06583629 and 3.\nAnswer: 3.06583629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(3\/4)*j*(j*j\/(((j*j**(-3\/14)\/j*j*j)\/j)\/j))\/j)**4 assuming j is positive.\nAnswer: j**(83\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -141*d*p**3 + 29688*d + 177*p**3 - 3*p**2 + 257 with respect to d.\nAnswer: -141*p**3 + 29688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 315821 to the power of 1\/2, to the nearest integer?\nAnswer: 562","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t**2. Let r(k) = 7*k + 5012. Calculate m(r(p)).\nAnswer: -98*p**2 - 140336*p - 50240288","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 212852192?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = a - 5*a + 2*u, -17 = 5*a + 3*u. Let n be (-2 - a - -3) + -9. Let y be 8\/(3 + 33\/(-9)). Is n <= y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1489629340?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -6*l**2 - 384*l + 1051. Let f(k) = -2*k**2 - 190*k + 526. Let x(c) = 5*f(c) - 2*u(c). Factor x(r).\nAnswer: 2*(r - 88)*(r - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 3 z when four letters picked without replacement from gggsgzggrssggrzzgd?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9728 - 9714. Let z = 3 - 2. Which is the closest to z? (a) i (b) 0 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 21402 - -10?\nAnswer: 21412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 5*y - y - 38, -y - 3*x = -18. Suppose 4*l - 5*a - 63 = l, 7 = l + 3*a. Calculate the least common multiple of y and l.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 405 and 90.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 302 - 299. Solve t = 5*n + 18 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -4826, -9656, -14488, -19322?\n\"Answer: -p**2 - 4827*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.1 + 0.11. Let w = -0.81 + g. Let f = 2 + w. Round f to 1 decimal place.\nAnswer: 1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*l + 6*l + 15*l + (2 - 3 + 3)*(4*l + 0*l - 3*l) + (-4 + 1 + 4)*(1 + 3 - 7)*(2 - 413*l - 4 + 373*l).\nAnswer: 132*l + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9\/4? (a) 0.1 (b) -22 (c) 2\/9 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9832*d**3*h**2*x**2 + 8*d**3*h**2*x - 2*d**3*h*x + 9*d**3*h - d*h**2 + 7*d*h - d*x - 7*h**2*x**2 wrt x.\nAnswer: -19664*d**3*h**2 - 14*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/20 of a week?\nAnswer: 30240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4756, 4760, 4764, 4768, 4772, 4776?\n\"Answer: 4*z + 4752","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(108)*2)\/sqrt(12))\/(-2*sqrt(363)*-2) + -3.\nAnswer: -3 - 5*sqrt(3)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 3*t, 136 = -4*i + 2*t + 430. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 5*l - 3729, 0 = -5*w - 3*l + 11159 - 1827. What are the prime factors of w?\nAnswer: 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 1 + 3*t - t - 7*t - 4*t + 4*t + 0 + 0 + 2*t + (-2*t + 7*t - 3*t)*(2 - 2 - 2) - t + 5 - 5 - 2*t + 1 - 1.\nAnswer: -10*t + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 2 (c) 2\/101 (d) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**3\/7 - 870*y**2\/7 - 16016*y = 0. Calculate y.\nAnswer: -104, 0, 539","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 + 9*k - 6. Suppose -2*f = -3*t, 0*t - t + 2*f = 4. Suppose t + 53 = -5*o. What are the prime factors of z(o)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77.90667 years in centuries?\nAnswer: 0.7790667","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -29 (base 16) to base 7\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 2*p**2\/9 + 8*p\/9 = 0.\nAnswer: -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is abc1 - -2?\nAnswer: abc3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one twentieth of a day?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 177*z**2 - 26*z + 102. List the prime factors of r(4).\nAnswer: 2, 5, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 524812129 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1178, 0, -0.123 in descending order.\nAnswer: 1178, 0, -0.123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 58 and 2842?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*p + 84 + 36 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of -14\/3*x**3 + 0*x**2 + 32*x + 0 + 0*x**4 - 21\/20*x**5. What is the second derivative of p(s) wrt s?\nAnswer: -126*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6299233 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 5*m = -20, 4*m - 21 + 5 = 0 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 54\/(-3)*3\/(-2). Suppose h + 3*l - 1 = -3, 4 = 2*h + 4*l. Let c = f + h. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1397, 1337, 1277, 1217, 1157?\nAnswer: 1097","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3495940a6 + 5?\nAnswer: 349594100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 + 2*c. Let s(v) = -2*v - 2. Let h(a) = -b(a) - s(a). Give h(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -375017*m**2. Let p(y) = -61*y. What is p(u(w))?\nAnswer: 22876037*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 275\/2 + -543\/4. What is the common denominator of 37\/5 and k?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4, -22, -106, -278, -568, -1006, -1622, -2446?\n\"Answer: -5*a**3 + a**2 + 6*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.068041 and -0.06?\nAnswer: 0.128041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -13350 divided by -6\nAnswer: 2225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 13292 and 13099 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/(-10) + 1\/2. Let k be 2\/6*(3 - -3). Suppose 25 = -5*z, 43 = k*l - 4*z + 5. Solve m = 2*h + l for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -45 - 3*i + 8*i + 12 - i. Is 5 a factor of z(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - 21) + 2 + (12 - (7 - -1)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4278 and 26381?\nAnswer: 713","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -611, -612, -613, -614?\n\"Answer: -o - 610","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.07 in 2734\/9, -2\/3, 1\/10, 1, 2\/3?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 60 and 3970068?\nAnswer: 19850340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/2*104\/(-78). Suppose -o - 2*w = 2*w + 18, -2*o + 14 = -c*w. Solve -3*p = -o*q - q - 6, 0 = -2*p for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from {z: 3, k: 1, d: 1, c: 2, b: 4}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2*n**3 + n**2 + n + 1. Let m be g(-1). Suppose 0 = -2*x - 6, m*f - 2*x - 204 = 3*x. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 8*r**5\/3 + 2122*r**4\/3 + 62832*r**3 + 5684096*r**2\/3 + 6814720*r\/3 = 0.\nAnswer: -88, -5\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.9 + -0.9. Let g = j + -4. Put g, 0, 0.2 in decreasing order.\nAnswer: 0.2, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {z: 4, p: 2, v: 2}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1058655157 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 9:18 AM?\nAnswer: 9:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 134, 271, 408, 545, 682, 819?\n\"Answer: 137*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 17380+-0.47192986\nAnswer: 17379.52807014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppppgpggpgpppppppp. Give prob of sequence gg.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 4*i + 940, -2*a + 5*i = -582 + 189. What is the highest common factor of a and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -17 not equal to 0.502?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 10, 5, -5 in descending order.\nAnswer: 10, 5, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jnnkvkn. What is prob of sequence vn?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17360 and 56.\nAnswer: 17360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the first derivative of m**4\/6 - 2*m - 1. Let w(f) be the first derivative of z(f). Let a(k) = -5*k. Determine w(a(d)).\nAnswer: 50*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 12*j - 12. Let h be z(2). Suppose 0 = h*t - 11*t + 19. Is t at least as big as -18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - -12) + (-1 - 12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (288\/(-84))\/((-9)\/(-42))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9)\/2 + (-3)\/6. Let t be ((-1)\/1)\/(x\/(-20)). Let w = t + 8. Does 4 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -132 divided by 44?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55*u + 394702 - 394702.\nAnswer: 55*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 + (-3108)\/(-154) + -16. Sort 5\/2, g, -1\/5, 96, 1\/2.\nAnswer: -1\/5, g, 1\/2, 5\/2, 96","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 190*g + 292*g**2 - 190*g in the form f*g + o + t*g**2 and give t.\nAnswer: 292","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2518979538?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = -2*b + 62. Let m = 25.2 + -25. What is the second smallest value in -4, b, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 910135493?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 71\/5 of a litre in millilitres?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 70 and 1750.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n, 3*n + 3 = 5*q - 7. Find the third derivative of 0*a - 2*a**q + 4*a - 4*a + 7*a**4 wrt a.\nAnswer: 168*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 7*l**2 - 139*l + 963. Let g be u(38). Is 5790 greater than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s + s**2 + 1 - 2 + 14*s**2 + 2 - s**3. Suppose 5*q - 4*n = 63, 6*q = 2*q - 2*n + 66. Does 16 divide u(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2118647 - -13?\nAnswer: -2118634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2424 and 1526916?\nAnswer: 308437032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 72198*w - 73860*w + 361864*w.\nAnswer: 360202*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -199, 1\/2, 7, -0.3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4183 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 19\/(-5) - (1 + -4). What is the third biggest value in m, 4, 1.5, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (9 - 5)\/(4\/190). Suppose 4*t = 3*l + 153, 3*t = -2*t + 4*l + j. Let b = t - 14. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -11*j - 17. Let b be 2\/(-6)*11 - j*2. Which is greater: -0.3 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-30)\/34 - (-32)\/(-272))*-5. Solve -o = -a*o + 4 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 + (-325520)\/(-35) + (-16)\/28 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5618*s**3 + 9972586*s**2 - 1128918*s + 31950.\nAnswer: -2*(s - 1775)*(53*s - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*x**4 - 1960*x**3 + 78455*x**2 - 98420*x - 101060 = 0.\nAnswer: -163, -2\/3, 2, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 6.77.\nAnswer: -13.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-129*j + 61*j + 6 + 72*j)*(-66*j + 9*j**2 + 66*j + (-j + 2*j + j)*(1 - 1 + j) + 2*j - 2*j - j**2 - 2*j**2 - 4*j + 4*j + 2 + 2*j**2 - 2).\nAnswer: 40*j**3 + 60*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.06, -0.5, 1\/8, 151, -47 in descending order.\nAnswer: 151, 1\/8, -0.06, -0.5, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -379204534 or -379204532?\nAnswer: -379204532","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3*(2 - (-2 + 5)). Is y\/5 + (-44712)\/(-45) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -13*y - 78. Let w(m) = -275597*m**2 + 14*m - 5. Let o be w(y). Round o to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/((i**14\/i)\/i))\/i**(-1\/3))\/(i*(i**10*i)\/i*i**(-13)))**(27\/5) assuming i is positive.\nAnswer: i**(-234\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 + 42*s + 296. Let r be f(-34). What is the smallest value in -5, r, 25?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a hour in minutes?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 AM and 3:55 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 3, r = -4*c + 412 + 341. Let k = c - 105. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 7*j. Let b be d(0). Let g(f) be the third derivative of -1\/12*f**4 + b*f + 0*f**3 + 0 - 11*f**2. Let k(h) = 5*h**2. Determine k(g(l)).\nAnswer: 20*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1179 divided by -237\nAnswer: 393\/79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1221 divided by 2?\nAnswer: 1221\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154 - 11056 = -250*f + 598 for f.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -4 and -279?\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -375 - -2629\/7. Let m = 2 - 2.1. Let o = 0.2 + m. Which is the closest to o? (a) t (b) 0 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 26, 48, 70, 92, 114?\nAnswer: 136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1444153 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/6 + -2*(-12)\/(-36). Solve 2*m = -y*m + f + 15, -2*f = -3*m + 25 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2083 is divided by 62.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-38)\/(-190))\/((-2)\/(-21))*(-10)\/(-28)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2084024 + -77?\nAnswer: 2083947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -8*u - 18*u - 7*u - 4 + 3. Is n(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1.257333 meters?\nAnswer: 1257333","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*w + 4*c - 139, 413770*w = 413768*w - 3*c + 99 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/94150 and -85\/5649.\nAnswer: 282450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 AM and 12:08 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2 + 1314058*u + 1314056.\nAnswer: 2*(u + 1)*(u + 657028)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 15\/514 and 528\/40*(-225)\/60?\nAnswer: 514","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 174176*-239.\nAnswer: -41628064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4, -19, -42, -73, -112, -159, -214?\n\"Answer: -4*d**2 - 3*d + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -3*c. Let n = -20 + 7. Let m = -11 - n. Let v(j) = -j**2 - 2*j**m + j**2. Calculate v(h(i)).\nAnswer: -18*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/2 in 24, 19.02, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 36022958?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-3)*6174\/(-196)*(-4)\/14?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8976634t in milligrams?\nAnswer: 897663400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y. Is 4 a factor of a(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 2*b**3 + 857*b**2 + 436*b. Let v(d) = -2*d**3 + d**2 - d. Let y(s) = -t(s) - 4*v(s). Factor y(k).\nAnswer: 3*k*(k - 144)*(2*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vkkvllvvlkvvkl. Give prob of picking 2 v and 1 k.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*(8398 + -1 - -1). Let l = q - -117631\/14. What is the common denominator of l and 123\/20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -0.0573, 0.3 in increasing order.\nAnswer: -2\/9, -0.0573, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 667 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1279)\/(-32) + (-1508)\/(-48256).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 41, 277, 697, 1307, 2113, 3121, 4337?\n\"Answer: r**3 + 86*r**2 - 29*r - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1264.0000194 - 1264. Round v to six dps.\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3037854 and 11562.\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 1258*r**2 - 72*r - 100. Calculate n(-1).\nAnswer: 1230","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 0.11, -1, -153.4, 2\/11, 4, 0, 0.1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/11, 2324, 0 in descending order.\nAnswer: 2324, 0, -3\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 11*g**2 + 570*g - 2263. Determine f(4).\nAnswer: 193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (56 - 7)\/7 - (-239120)\/30*6?\nAnswer: 7, 6833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*s + 4*r - 6*r - 50, -3*s - 29 = 5*r for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 79672 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = f**3 + 7*f**2 - 8*f + 11. Let d = -35 - -28. List the prime factors of w(d).\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 103e (base 16) to base 13\nAnswer: 1b7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 4*o + 48 = -0*o, -2*q = -4*o - 24. Let l be 1\/(-4) - q\/(-8). Suppose 0*k + 82 = 2*z + 4*k, -194 = -4*z + l*k. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 14*a**2 + 10*a - 4. Let j be v(-18). Suppose 10*o - 1258 = j. What are the prime factors of o?\nAnswer: 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pcaaf. Give prob of sequence aa.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -24*h**5 + 4*h**4 + 28*h**2 - 2 wrt h?\nAnswer: -1440*h**2 + 96*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12994 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the second derivative of -19*r**6\/30 + r**4\/6 + 2*r**2 + 77*r. Differentiate c(x) with respect to x.\nAnswer: -76*x**3 + 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -12*x**2 - 57*x - 7. Let t(c) = 15*c**2 + 58*c + 8. What is 6*g(l) + 5*t(l)?\nAnswer: 3*l**2 - 52*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72*r + 12*r = -588 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j**4 + 30*j**3 - 1377*j**2 + 3780*j = 0. Calculate j.\nAnswer: -28, 0, 3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 82 + -82. Solve 2*z + 0*z + 5*x + 19 = 0, n = z + 4*x + 17 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16096 (base 14) in base 3?\nAnswer: 2210110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 3*z - 12 = 0. Factor v**4 - v**2 - 2*v**3 + 0*v**4 - 2*v**z.\nAnswer: -v**2*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 57 + -55. Suppose 2 + 11*i**2 - 17*i**2 + 8*i**a - 4*i = 0. What is i?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*x - 4*m - 880488 = -21*x, 0 = -3*x - 5*m + 660374. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -2, -8, 0.03, -0.1, 1\/386?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1257273 times -0.162?\nAnswer: 0.0203678226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -18766200 rounded to the nearest 100000?\nAnswer: -18800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - -2)\/(-3) + 0 + 28. What is the third derivative of 215 - 49*r**2 - 215 - a*r**4 wrt r?\nAnswer: -672*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20403*d**5 + d**4 - 17621*d**2 + 3*d?\nAnswer: 1224180*d**2 + 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g**2. Suppose 4*d - 3696 = 4*i, -5*i = -2*d + 6*d - 3696. Let q(l) = 30338*l. Let p(b) = 164*b. Let n(z) = d*p(z) - 5*q(z). What is o(n(u))?\nAnswer: 23716*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 21*(5 - (-21)\/(1323\/(-396)))?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9\/(-6)*((-50)\/15)\/5. Put 5, 2, j, -12 in descending order.\nAnswer: 5, 2, j, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 + 1. Let w be o(0). Solve 4*n = -w + 13 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1729384 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19.216 - 19.2169807. Round f to five decimal places.\nAnswer: -0.00098","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of -43 + 9*o - 9\/5*o**5 + 0*o**3 + 5\/2*o**2 + 0*o**4. Differentiate y(d) wrt d.\nAnswer: -36*d**3 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -230213 or -230215?\nAnswer: -230213","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 1:53 AM?\nAnswer: 2:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**22*h**(-1)*(h*h**(-5))**(-6\/7))**(3\/4) assuming h is positive.\nAnswer: h**(513\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.141 - 191.141. Let u = -190.9999909 - o. Round u to 6 dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*a + 87*a**5 + 0*a + 24*a**4 - 46*a**4 + 5*a + 25*a**4 - 465*a**2 wrt a?\nAnswer: 5220*a**2 + 72*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, -2\/3, 0.3, 2\/9, 1\/133, -1 in increasing order.\nAnswer: -1, -2\/3, 1\/133, 2\/9, 0.3, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 930336 by -881.\nAnswer: -1056","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 109374043 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(77) + 6*(sqrt(77) - 1*sqrt(77)) + sqrt(77))\/(sqrt(11) - ((sqrt(11) - -5*(sqrt(11) + sqrt(11) + sqrt(44) + sqrt(11))) + sqrt(11)))*4.\nAnswer: -4*sqrt(7)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1742062 - 871034 - 871032 - 45*x.\nAnswer: -45*x - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -11*c - 21. Let s(m) = -55*m - 107. Let v(h) = 2*s(h) - 11*z(h). Let x(k) = -4*k - 6. What is 3*v(r) + 8*x(r)?\nAnswer: r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 57, 245, 413, 7 in increasing order.\nAnswer: 7, 57, 245, 413","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 - 2*r + 2. Let s(z) = 10*z**3 - 8*z**2 + 12*z + 23. Calculate -s(l) - 6*w(l).\nAnswer: -4*l**3 + 8*l**2 - 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together 200675295 and -27.\nAnswer: 200675268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/(2*(-5)\/10). Let f be z\/((2\/9)\/(1\/9)). Suppose -f*x + 332 = 20. Calculate the greatest common divisor of x and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 6626661?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/7 in -3, -1983, -2.8, 5, 12?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 3*o**3 - o. Let a be (-1)\/(3\/(-6 - -3)). Let i be s(a). Let k(w) = -5 + 2*w - 3*w + i*w. Give k(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -36775 * 0.08.\nAnswer: -2942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/((-55)\/(-22))*3\/(-36)*-2.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 3 w when four letters picked without replacement from {w: 5, g: 3}.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - 1*21\/(-15)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -29, -53, -77, -101, -125?\nAnswer: -149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13232122 - 130322?\nAnswer: -20023110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p**2 + 68*p - 1768. Let t be j(18). Suppose -3*a + 90 = 357. Let x = a + t. Calculate the remainder when x is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 - 7. Suppose -5*c + 2*y + 66 = 0, k*c - 3*y - 58 = -4*y. Calculate the remainder when 53 is divided by c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1429671 and 87.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + -207)*(-2)\/4. Let l be r\/6*9\/651. Let s = -3\/62 - l. Which is the closest to s? (a) 0 (b) -0.1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 + -13. Let h be (z + -12)\/(-5)*106\/4. Let f = h + -50. Solve 0 = 4*d - 3*l - f, 5*l = -4*d + 3*d - 5 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23334430 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 338292 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 8) in base 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.4 - -0.4. Let c = -0.3 + j. Let p = 9 - 8.7. What is the second biggest value in -5, c, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6.1 - 0.1. Let c = z + -12. Let n = c + 5.6. What is the second smallest value in n, 2, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-241668)\/6165)\/(6\/15)?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z + 2*z = -5*h + 16, 0 = -13558*z + 13554*z - 16 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -30252, -242165, -817356, -1937463, -3784124, -6538977?\n\"Answer: -30273*y**3 - y**2 + y + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of -3408*a**4 - a**2\/2 - 107*a - 1012. Find the second derivative of k(x) wrt x.\nAnswer: -81792*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 646, 1287, 1926, 2563, 3198, 3831, 4462?\n\"Answer: -r**2 + 644*r + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 637*y - 634*y + 3. Let d be (-2)\/(-15) - ((-215)\/(-75))\/y. Let -2\/13*m**d + 0*m + 0 + 12\/13*m**4 + 0*m**2 - 18\/13*m**5 = 0. What is m?\nAnswer: 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 4*y + 84, -5*f - 98 = y - 238. Suppose -4 = -4*u + 8. Suppose j - f = -u*j. Does 3 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 319381832?\nAnswer: 2, 7, 11, 79, 6563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 227 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-14)*-4 + 3\/14\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 473?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (1125\/1350)\/(1\/2)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = -a + 3, -3*p = -5*a + 10 + 5 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the first derivative of -5361*f**5\/5 + 12*f**2 + 28*f - 10987. Find the second derivative of m(v) wrt v.\nAnswer: -64332*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i + 3. Let s(l) = -l**2 + 4*l + 11. Let j be (-4*15\/(-10))\/(0 + 1). Let n be s(j). Let m(w) = 1. What is n*m(z) - p(z)?\nAnswer: -z - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -85662 in descending order.\nAnswer: 2, -4, -85662","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.199 less than 0?\nAnswer: -0.199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2\/33 - -37\/66. What is the second biggest value in s, 2, 0.04?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -24, 13, 2 in increasing order.\nAnswer: -24, -6, 2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 = -12*j - 21 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttqttqqtqqqt. What is prob of picking 1 t and 2 q?\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4.03 - -0.03. Let p = 4 + z. Which is the nearest to 1? (a) 0.3 (b) 3\/4 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 2:09 PM?\nAnswer: 9:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**2 + 3*a + 2. Let m(c) = -16*c - 1. Let s be m(-1). Let n = 27 - s. Suppose -2*i = i - n. Calculate q(i).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 120*m - m - 67 - 125 - 101*m + 19. What is o(10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 33 = 13*t. Suppose 0 = 4*f + t*f - 31913. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17433 and 547144.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(1584) - 2*sqrt(1584)*6))**2.\nAnswer: 191664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 + 4*h - 5. Let b(m) = m**2 + 5*m - 6. Let f be 4\/(-10) + 85\/25. Suppose -3 = u + f. Calculate u*b(j) + 7*y(j).\nAnswer: j**2 - 2*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -5*u**2 - 2*u. Let k(d) = 81*d**2 + 33*d. Determine -6*k(p) - 99*w(p).\nAnswer: 9*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r + 6 = 13*r. Suppose -2*o = 3*j - 37, r*o - 81 = -5*j - 14. Suppose j = -6*u + 651. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 4\/3 of a millennium?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (16\/24)\/((24\/(-27))\/(-4)). Suppose 0 = -k*f + 92 + 223. Let g = f + -52. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 137 + -204. Let r = 94 + v. Is 26 smaller than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -4*l + 3. Solve -4 = l*f - 20 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -3*i + 43. Let f be x(10). Suppose -g + 924 = f*g. Let u be (-1)\/((-1)\/6) + g\/(-22). What is the smallest value in 17\/4, -1\/2, u, 0.3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (-1 - 0) + (-1174 - -1176)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.053 + -2.737. What is b rounded to 1 dp?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 2*k = -248, 5*x + 2*k + k + 413 = 0. Let s be (-1)\/(-2) - x\/44. Let p = s - 108\/55. Which is the second biggest value? (a) 3 (b) -2\/7 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - -14 - (0 - 8) - 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 931 - 703*i - 287*i**3 + 4*i**4 - 146*i**3 - 6*i**4 - 933 wrt i.\nAnswer: -24*i**2 - 2598*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3149249 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 303988 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.21 (b) 0.076 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 588969 or 588970?\nAnswer: 588969","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 1)*(-57*p + 7*p - 24*p).\nAnswer: 148*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 3) + -8 + 6 + (43 - 45)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-17)\/(-34))\/(2\/120). Suppose 0*c + 3*c - z = 0. Calculate the remainder when 19 is divided by c.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101884522?\nAnswer: 2, 157, 324473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 19167 in descending order.\nAnswer: 19167, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -152795, -304838, -456881, -608924, -760967, -913010?\nAnswer: -1065053","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -3*o + 23. Suppose k = 2*k - 5*u - 27, 2*k = -5*u - 6. Let g be f(k). Solve -g*l = 3*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 3, 2, -56894 in decreasing order.\nAnswer: 10, 3, 2, -56894","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(684)*-1 - sqrt(684) - 6*1*sqrt(684)) + 2*(sqrt(684)*-3 + 2)*6)**2.\nAnswer: -11520*sqrt(19) + 1094976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 592326842?\nAnswer: 2, 59, 5019719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o. Let z(y) be the second derivative of -11*y**3\/6 - 3*y**2\/2 - 849*y - 3. What is 6*c(g) + z(g)?\nAnswer: -17*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4041\/7 or -577?\nAnswer: -577","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.1 - 0.021?\nAnswer: -3.121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -3, -24, 3, 0.2, -0.52, -2 in descending order.\nAnswer: 3, 0.2, -0.52, -2, -3, -7, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -1103, -2, 4 in decreasing order.\nAnswer: 4, -2, -1103","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -46563262200 to the nearest one million.\nAnswer: -46563000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of 67*f**3 + 301*f**2\/2 - 182. Find the second derivative of w(d) wrt d.\nAnswer: 402","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10280 a factor of 2458914320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= -21\/45125216?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 547955293?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 82498 divided by 494\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -8*(-1)\/12*-3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.629626715 - 0.6296. Round g to seven dps.\nAnswer: 0.0000267","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26644 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 - -19 - (5 - -11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 233171 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-11*(-2)\/(-8))\/((-10)\/1320). Suppose c = 4*n + 7*n. Factor 193*h - 156*h**2 + 8 - 56 - n*h + 36*h**3.\nAnswer: 4*(h - 3)*(3*h - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 327\/108602?\nAnswer: 327\/108602","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -s - 12. Suppose 8*f = 4*f + 32. What is the highest common divisor of s and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 38*z**2 + 16*z + 54. What are the prime factors of y(-6)?\nAnswer: 2, 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 3 + 12. Suppose -f = 2*w + 3. Let p(b) = -3*b - 4. Let v(s) = 4*s + 4. Let y(q) = w*v(q) - 5*p(q). What is y(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9701865um to centimeters.\nAnswer: 0.00009701865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -807, -801, -785, -753, -699, -617?\nAnswer: -501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) be the first derivative of -2\/3*b**3 + 0*b - 3 + 0*b**2. Let k(o) = -o. Determine k(a(u)).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5749 and -0.187?\nAnswer: 1075.063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -78427, -156856, -235273, -313672, -392047?\n\"Answer: n**3 - 78436*n + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.131 - 0.13099793. Round r to 7 dps.\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 485 - 486 - (-15 + -2 - -1).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 5*b**2 + 2*b + 5059. Is d(0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -11097*t - 19728. Let u(i) = -i + 4. Calculate q(g) + 4932*u(g).\nAnswer: -16029*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:14 AM and 5:36 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 275 - 272. Let l = -17 - -21. Let d be l*-1*1\/(-6). Which is the biggest value? (a) h (b) 2\/11 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1287 - 1272. What is the smallest common multiple of k and 14?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - 1. Suppose -q - p*q - 2*z = -46, 3*z + 50 = 4*q. Is q a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 + 98 = -42*d. Let b(h) = -h. Let t(k) = -6*k. What is d*t(v) + 16*b(v)?\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 522, 2088, 4700, 8358, 13062, 18812?\n\"Answer: 523*l**2 - 3*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*i*m**2*q + 957*i*m*q + 218*m**2*q**2 + m*q**2 + 4*m*q - m wrt m.\nAnswer: -26*i*q + 436*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 AM and 9:14 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 + 6*l**2 - 4. Let o be h(6). What is the lowest common multiple of o\/22 - 1660\/(-55) and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 386 - -201. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153) + 0 + 5 - ((sqrt(153)*2)**2 + 3).\nAnswer: -610 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1254?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 566 = 2*l + 16*v - 18*v, -2*l - 4*v + 560 = 0. Solve -77*g - 17*g + l = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2)*d\/(d*d\/((d**(-8)*d)\/d)))**(-3\/14) assuming d is positive.\nAnswer: d**(33\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) be the third derivative of -b**7\/70 - 5*b**3\/2 + 8*b**2. What is the first derivative of y(k) wrt k?\nAnswer: -12*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -36 + 26?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 3932?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.1 - -3. Let k = -521 - -517. Suppose 0*t + 2*t = 0. Which is the nearest to t? (a) o (b) k (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5840?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -87.2 - -86.703. Let x = t + -0.003. Let u = 10 + -10.4. Which is the biggest value? (a) -3 (b) u (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 62.0068 + -62. Round g to three dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -320033 (base 5) in base 6?\nAnswer: -121135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 7 = -8. Let s be (o + 24)*2\/7. Let b(u) = u**3 - 3*u**2 + 5*u + 7. Is b(s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00203825 to four decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 2*l = -l - 1, 0 = 3*m - 5*l + 8. Let j be (-15)\/6*(2 - 4). Let n be (j\/30)\/((-1)\/4). Sort 0.3, m, n.\nAnswer: m, n, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2918 divided by 359\nAnswer: 2918\/359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1\/64, 2\/839, 5\/3, 1 in descending order.\nAnswer: 2, 5\/3, 1, 1\/64, 2\/839","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7896 at least 7918?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h*h\/h**1))\/(h*h*(h\/(h*h**(-5)\/h*h))\/h*h)*(h\/(h\/h**(1\/5)))**(5\/9) assuming h is positive.\nAnswer: h**(-62\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1514657, 1514653, 1514649?\nAnswer: 1514645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 26 - -104536?\nAnswer: 104561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 500 = -14*j. What is the remainder when j is divided by 30?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 - 6*q**2 - 2*q - 8. Let p be z(-6). Suppose 6*n + 128 = p*n. Let s = n + 94. Is 15 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fqssaaqqqsssaoqoafa. What is prob of picking 2 f?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -7889, 4, -49854, 1 in descending order.\nAnswer: 4, 1, -7889, -49854","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 51, -0.2, -34580.9 in descending order.\nAnswer: 51, -0.2, -34580.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -664 + 663.2. Which is the biggest value? (a) 0 (b) k (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7867 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y**(-7\/2)\/y)*y*y\/y**(13\/3)*y*y*y*y*(y\/y**(-1\/8))**(7\/4) assuming y is positive.\nAnswer: y**(877\/96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m**(1\/3)*m)\/m)\/(m*m**(-7)))\/((m\/((m\/m**(-1\/15))\/m)*m)\/(m\/(m\/m**(-2)*m))) assuming m is positive.\nAnswer: m**(12\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 13*y**2 + 43*y + 11. Let p(j) = -3*j**2 - 11*j - 3. Let k(b) = 9*p(b) + 2*t(b). Let z be k(-12). Solve 0 = 4*m + z + 13 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39558 divided by 9911\nAnswer: -39558\/9911","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 8764370?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 17628 divided by -3\nAnswer: -5876","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b = 5*m - 23, 1162 = 5*b - 5*m + 1137 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (56\/7464)\/(126\/(-108))?\nAnswer: -2\/311","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) -1 (c) -3 (d) 0.2 (e) -5 (f) 61\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -91, -72, -25, 62, 201?\n\"Answer: 2*h**3 + 2*h**2 - h - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 45\/4 of a year?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 263 (b) -0.3 (c) 2\/19 (d) -23 (e) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, 27, 365, 253 in decreasing order.\nAnswer: 365, 253, 27, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 11\/((-77)\/8)*(-5)\/20. Let i = -167 + 169. Put -3, i, n in decreasing order.\nAnswer: i, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -0.4 (b) 0.092 (c) 8 (d) -81 (e) 10 (f) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-3*sqrt(9))\/sqrt(3) - (4 + (sqrt(147) + -1 + sqrt(147))**2).\nAnswer: -591 + 25*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*o**3*w**3 - 7*o**3*w**2 - 2403*o**3*w + o**2*w**4 + 51*o*w**4 wrt w?\nAnswer: 72*o**3 + 24*o**2*w + 1224*o*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a - 4*n = 3*a + 83, -57 = -2*a + n. List the prime factors of a.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 - 5*o**2 - 5*o - 4. Suppose 40*z - 37*z = -6. Let h be 5*((-12)\/(-10) - (-2 - z)). Give d(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 209120 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 thousands digit of 4177954?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - k - 16 = -0*k, -7*k = -0*o + 4*o + 12 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of f**4\/4 + f**3 - 2*f**2 - 5*f - 1. Let q be h(-4). Let n = -3.23 + 0.23. Which is the closest to -1? (a) n (b) 0 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**4*h*h**(-3\/4)\/h)**(-1\/53)*(h**0\/h)**(-1\/21)\/(h**(2\/3))**(-1\/44) assuming h is positive.\nAnswer: h**(71\/48972)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -611797580 rounded to the nearest 1000000?\nAnswer: -612000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w**2 - 10113*w + 10113*w.\nAnswer: -3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of a**3 + 1. Suppose 6 = 4*v - b, b + 8 = 5*b. Let s(m) = -3 - v*m**2 + 3*m**2 + 3. Determine s(h(z)).\nAnswer: 9*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - 0 + 40. Suppose 0 = -41*d + 37*d. Sort -4, d, c in increasing order.\nAnswer: -4, d, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 23 - 311?\nAnswer: -2bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-4*2*sqrt(171) - sqrt(171))\/sqrt(9) + (-2*((sqrt(228) - (sqrt(228) + 2*sqrt(228) + sqrt(228))) + sqrt(228)))\/(sqrt(72)\/(sqrt(6)*2)))*1.\nAnswer: 26*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28, -299, -742, -1351, -2120?\nAnswer: -3043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 34*z**2 - 74*z**2 - z**3 - 1 + 29*z**2 + 4 as n + a*z**3 + v*z + f*z**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + u = 10. Suppose c = -5*l, -u*c + c + 10 = 3*l. Calculate the remainder when 72 is divided by c.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -207899664 by -12.\nAnswer: 17324972","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.33 - 43.33. Let p = -53549 - -53550. Which is bigger: f or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2378997 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 140 - 135. Let f be 5*(-1 + j + 15). Let b = 17 + 21. What is the greatest common factor of f and b?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -419.09 + 405. Let w = k - -14.2. Which is greater: 2 or w?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54532152 (base 6) to base 3.\nAnswer: 10001210100112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2*j**2 + 5*j**2 - 3*j**2 + 75 + 67 + 10*j**2 + 49*j. Let p(w) = -2*w**2. Let r(b) = l(b) + 6*p(b). What is the first derivative of r(c) wrt c?\nAnswer: 4*c + 49","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 54788*y**4 - 39536*y + 2 wrt y?\nAnswer: 657456*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-6)*o\/o**(-1\/4))\/(o**(-2\/5)*o)**20*((o**(1\/7)*o)\/(o*o*o**(-11)*o))**27 assuming o is positive.\nAnswer: o**(6443\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -107*m + 110*m + 4*z = -38, -4*z - 44 = 4*m. What is the nearest to m in -63, -3, -0.4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2*x**3 - 15*x**2 + 4. Let c be a(-8). Let i = 86 - c. Calculate the smallest common multiple of i and 4.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272) + 1 + 0 + sqrt(272) + sqrt(272) + sqrt(272) - -4*(0 + sqrt(272)))**2.\nAnswer: 64*sqrt(17) + 17409","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -30 - -54. Let v(p) = 6*p**2 + p - 1. Suppose -g + 2 = 1. Let x be v(g). Calculate the greatest common divisor of q and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -3, 5, 18 in decreasing order.\nAnswer: 18, 5, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/3 - 1 - 22\/(-6). Let f(q) = -22*q**3 + 36*q**c - 5 + 9*q + 10*q**2 - 13*q**3. Determine f(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 7:45 AM?\nAnswer: 4:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1952, 1951, 1950, 1949, 1948?\n\"Answer: -j + 1953","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7259581.\nAnswer: 7, 233, 4451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6101369?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 207665522 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 740121 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.15432 - -0.05432. Which is the second smallest value? (a) -6 (b) 0.1 (c) -0.05 (d) l (e) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 64737685?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 532 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 210*w + 243*w + u = -2252, 5*w - 5*u + 41 + 13 = -36 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l = 2*l + l. Solve -o + 5*o - 12 = l for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -364314*-366\nAnswer: 133338924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 167\/30 and 21\/10962388.\nAnswer: 164435820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -13338, -10996, -8648, -6294, -3934?\n\"Answer: 3*a**2 + 2333*a - 15674","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 14130, 18, -35 in decreasing order.\nAnswer: 14130, 18, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4165 and 7497.\nAnswer: 37485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 509.709kg to milligrams.\nAnswer: 509709000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 36467076 divided by -5682?\nAnswer: -6418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 42*k**2 - k - 9. Let t be z(2). Let v = -16.5 + 16.3. Which is bigger: t or v?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69585*y = 69615*y + 30. Sort y, -3, 2, 4, -6.\nAnswer: -6, -3, y, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 40 + -37. Suppose -x*d = 5*d - 40. What is the smallest common multiple of 17 and d?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -652652 (base 7) to base 14\nAnswer: -2d6d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 18\/(((-15)\/2)\/(-5)). Let t be (-6)\/(-4)*b\/9. Find the third derivative of -4*o**2 + 4*o**t + o**3 + 3*o**2 wrt o.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*j - 10*j + 0*j - 84*j - 57*j + 14*j.\nAnswer: -130*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*p - 11 = -10*p - 9*p - i, -863 = -5*p + 2*i - 884 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -82.6 smaller than 0.3237?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -116081 + -11?\nAnswer: -116092","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-2\/3)\/(h*h\/(h**(1\/3)\/h))*((h\/(h\/h**1))\/h)**(2\/13) assuming h is positive.\nAnswer: h**(-10\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -39 + 34. Suppose r - 4*r + 6 = 4*u, -2*r + u + 4 = 0. Let g be -5 + r + (0 - 0). Which is the second smallest value? (a) g (b) i (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2 - 79*q + 1105. Calculate u(36).\nAnswer: -443","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z + 5*z - 5*j - 71, 0 = -2*j - 6. Let y(a) = -a**3 - 3*a**2 + 4*a + 2. Let t be y(-4). Solve 0 = 3*n - 2*o - 2*o + 20, 3*o - z = t*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -s - 4*c, 0 = s + 3*c - 4 + 13. Let v(i) = -2*i**3 + 7*i**2 - 11*i + 13. Is v(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 4 - 2*a - 2*a**3 + 2*a**3 + 4*a**2 - 2 - a**3. Suppose 5*w - 5 = 0, 0*f - 2*w = f - 24. What is the smallest common multiple of f and o(2)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -131191\nAnswer: -5\/131191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4678 - -27974. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*s + 12*s + 5*s**2 + (3 + 2 - 3)*(8*s - 8*s - 5*s**2) + 5*s - 5*s - s**2 + (6*s + 3*s - 4*s)*(2*s - 2*s - 2*s) as l*s**2 + d*s + q and give l.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28 - -20. Let h = k + 22. Suppose h + 6 = 2*t. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(1\/3)\/p)\/(p*p**2\/p*p)*(p**(-1\/3))**(-47))**28)**(-10) assuming p is positive.\nAnswer: p**(-3360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (70 - (126 + -48)) + 1 + (15 - 2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*c + 2*c - 6*c + 4*c + 3*c - 3*c + 2 - 2*c - 2 - 3*c - 2*c + 4*c + (-1 - 2 + 5)*(0*c - 2*c + c) + 2*c - 3*c - c)*(0 - 3*c**2 + 0).\nAnswer: 12*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-9)\/(-2 - 532\/(-272)). Suppose b + 3*j = -39, 4*j - o = 4*b + 32. Does 9 divide (4 - 2)*b\/(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 66372 divided by 22124\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -144, -5, 1 in decreasing order.\nAnswer: 1, -3, -5, -144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -31050.\nAnswer: 1\/15525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a + 3 + 0*a + 7*a. Is 8 a factor of u(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2758 and 1122111606?\nAnswer: 2758","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -97344, -389650, -876930, -1559190, -2436436, -3508674, -4775910, -6238150?\n\"Answer: -x**3 - 97481*x**2 + 144*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 127*r + 2550. Determine u(-20).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and 56890690.\nAnswer: 22756276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + j = 42. Suppose 28 = 3*n + 10. Suppose -3*d - 5*p + 14 = 0, 0 = 5*d + n*p - 3*p - 34. Calculate the remainder when j is divided by d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11101110001101101000 (base 2) in base 13?\nAnswer: 282165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:22 PM and 9:17 PM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppjpysppese. What is prob of picking 2 e and 1 p?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 19 + -10 + -1 + -5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56260 divided by -485.\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 677231.5mg to nanograms.\nAnswer: 677231500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 4*j + 120 = 0, -85 = -3*d - 12*j + 8*j. Solve -26*l = d + 43 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-340)\/24 + 14)\/(12\/(-1512))\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(1\/5)\/(p\/((p**(-1\/4)\/p)\/p)))**(-27)\/(p**4\/p**(1\/5)*(p\/((p**0*p)\/p*p))\/(p*p**(-4)*p)) assuming p is positive.\nAnswer: p**(1531\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9970459?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/3172 and -79\/2.\nAnswer: 3172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.02964 and 0.4.\nAnswer: 0.011856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1451427437?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 28\/8*236\/14. Suppose -10*v - q = -299. What is the greatest common divisor of 6 and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 779446606 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of -z**3\/6 + 5*z**2\/2 + 128*z - 68. Let i(h) be the first derivative of q(h). Give i(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*s = -18*s + 2*l + 10, 2*l = -3*s - 10. Let y = -8 + 2. Put y, -1, s in ascending order.\nAnswer: y, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-459)\/(-18) - 2\/4. What is the third derivative of a**2 - 17*a**6 - v*a**6 + 46*a**6 wrt a?\nAnswer: 480*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -598, -602, -604, -604, -602, -598?\nAnswer: -592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - -74. Suppose 0 = 165*b - 86*b + 238*b - 106829. What is the remainder when b is divided by y?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/32, 1.8, 0.1, 15, 2\/39, -2\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*(u\/(u**(2\/13)\/u))\/u*u*u\/(u*u**27)*u\/u**(-34\/3)*(u\/(u**20*u))\/u)**(-2\/9) assuming u is positive.\nAnswer: u**(2560\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l**2 + 3*l - 4. Let y(d) = d - 1. Suppose -3*o = -4*q + 3 - 17, 3*q + o + 4 = 0. Let w be y(q). What is the units digit of s(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/13)\/y)**(-3)*(y*y\/(y\/y**8))**12 assuming y is positive.\nAnswer: y**(1437\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 - y + 44. Let o be v(6). Let q = 0 - -6. What are the prime factors of (o\/2)\/(q\/498)?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y + 27 = 5*y - 2*d, 101 = 19*y - d for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 20*a**2*q*u - 2*a**2*q + 213*a**2*u wrt q?\nAnswer: 20*a**2*u - 2*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.3, -3\/5, -1.09, 0.00906?\nAnswer: -1.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*i - h - 16, -3*h = 4*i + 2 + 6 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -173719 divided by 2.\nAnswer: -173719\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j + 12. Let a be k(5). Is 5 equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2 from 112.46.\nAnswer: 110.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -5*u**2 - 26*u + 4. Let z be p(-5). Suppose 0 = -z*s + 12*s - 6051. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-53)\/159*(252\/8)\/3*22\/(-14).\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*z**3 - 17*z**3 + 41*z**3 - 3*z**2 + z**3 + 3*z**2 + (z**2 - z**2 - 2*z**3)*(1 + 1 + 0) + 4*z - 4*z - 134*z**3 + 340*z**3.\nAnswer: 215*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39362, -157468, -354310, -629888, -984202, -1417252, -1929038?\nAnswer: -2519560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 1926*q + 211. Let k be w(4). Is k*(3 + 5)\/8 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-7)\/4)\/(2\/(-48)). Let h be 11721\/x + 4\/(-14). Let y = 543\/2 - h. Calculate the common denominator of -71\/9 and y.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/u**(-3))**32\/(u**3)**(-10\/3))**23)**(-9\/11) assuming u is positive.\nAnswer: u**(-28566\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -384, -1526, -3446, -6162, -9692, -14054?\n\"Answer: -3*z**3 - 371*z**2 - 8*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -3\/298, 8054.9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (28\/(-6))\/((-2)\/6) - (-240)\/2280*-551\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.02 or -2\/179?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9489855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 16 - 26682*a + 11835*a - 16 as i*a + o and give i.\nAnswer: -14847","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/5 >= -2280\/41?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 42*j**2 + 107*j + 395. Let c be v(11). What is the highest common factor of c and 48?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 54 and 351?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -175*z + 128*z + 752. Solve 10*p - 76 + z = 0 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2676.165189 rounded to the nearest 100?\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 - 129 = -4*k. Let j(o) = -o**3 + 5*o**2 - 3*o - 2. Let f be j(4). Suppose 0 = -w + f*w - k. Find the common denominator of 42\/11 and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18007590 and 9537.\nAnswer: 867","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (25\/(-10) - 1)*36\/(-21). Suppose 2*i - i - 6 = 0. Is (3062\/d)\/(2\/i) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 b when four letters picked without replacement from bebeebb.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/2, 2, 0.1, 0.3, -4, -52882?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78 is divided by 42?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = -9*h + 17*h. Let j(l) be the third derivative of 0*l**h - 4*l**2 + 0 + 0*l**6 - 1\/2*l**3 - 1\/210*l**7 + 0*l**5 + 0*l. Differentiate j(g) wrt g.\nAnswer: -4*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1679379 divided by -5811?\nAnswer: -289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11808 = 16*k + 2*k. Let s = 687 + k. What is the greatest common divisor of 775 and s?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f**2 + 1671*f - 1671*f.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -30866, -61735, -92604, -123473, -154342?\n\"Answer: -30869*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10474273 a multiple of 441?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5073 + 5327. Sort -1\/3, o, -3\/7.\nAnswer: -3\/7, -1\/3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qcssawsscqsscssqsscq. Give prob of picking 3 s and 1 w.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(0 + sqrt(425)) + 1*sqrt(68)\/sqrt(4) + 4)**2 - ((sqrt(153)\/(sqrt(9)*2))**2*-2 + (sqrt(612)*-1*6)**2).\nAnswer: -37351\/2 - 112*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*v**2*y**2 - 2*v**2*y + 26*v*y**4 - 414*v*y wrt y.\nAnswer: -24*v**2 + 312*v*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 865, 3457, 7777, 13825, 21601, 31105?\n\"Answer: 864*y**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/(-6))\/((-1)\/3). Suppose -3*l - 4 = -k*l. Let q(o) be the third derivative of o**5\/60 + o**4\/12 - 5*o**3\/6 - o**2. What is q(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10)\/(-40) - (-1)\/(-4). Suppose -g - 2*g + 6 = z. Let m(n) = 4*n - 2. What are the prime factors of m(g)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -9, 871.78 in ascending order.\nAnswer: -9, -3, 871.78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2986506?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqf when three letters picked without replacement from fqqqpqqffffqff.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-5)\/(-20))\/((-6)\/(96\/(-26))). Let i = -13 + 18. What is the closest to -0.4 in i, r, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 PM and 9:41 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 87732406\/9 greater than 9748044?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 + 6*f + 2. Suppose h - z = -5, 11 + 16 = -4*h - 3*z. Let d be m(h). What is the second derivative of 4*q**2 - 2*q - 3*q**d + 0*q wrt q?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*g + g - 462. Let l be (-7 - -3)\/(g\/(-15)). Which is the closest to 2\/7? (a) -1\/4 (b) l (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -5*n**3 - 5*n + 2. Let b(p) = -p**3. Let u = 20658 - 20661. What is u*b(w) + d(w)?\nAnswer: -2*w**3 - 5*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-17*j**2 + 0*j**2 - 8*j**2)*(3*j - 3*j + 2 + j) to the form n*j**2 + v*j + u + m*j**3 and give n.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (2\/24)\/((-8)\/(-288)*-9)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n**5 - 3*n**4 - n**2 - n + 2. Let h(k) = 45*k**5 - 10*k**4 + k**2 + 5*k + 44. Let x(r) = d(r) + h(r). What is the second derivative of x(f) wrt f?\nAnswer: 860*f**3 - 156*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 60433 + -5?\nAnswer: 60425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u**3 - 32095*u**2 - 5441596*u + 3641996 = 0.\nAnswer: -10526, -173, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4741518, -18966066, -42673646, -75864258, -118537902, -170694578, -232334286?\nAnswer: -303457026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*w = -163*w - 1808 for w.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118*u - 842 - 810 = 0 for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -39\/49 and 88\/1660953.\nAnswer: 1660953","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: (6375\/(-191250))\/((2\/(-55))\/1)\nAnswer: 11\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 + (494 - (-10)\/5). Suppose o = y - 95. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hoyy when four letters picked without replacement from yoyhhyhy?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -46 + 52. What is the highest common divisor of z and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 345921?\nAnswer: 3, 67, 1721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/1*(-7 + 1)\/3. Suppose -24 = -w + 4*j, 2*j = -f*w + 6*j + 44. Calculate the remainder when 55 is divided by w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13785046 + -0.05.\nAnswer: 13785045.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - 0) + -3 + (-10 - 8 - -41).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1379 is divided by 34.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -626*z**3 + z**2 + 282*z wrt z?\nAnswer: -3756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -17 - -19. Solve 0 = x - c*x + 3 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25166.42286 - -24972.42286072. Let d = -194 - j. Round d to 7 decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4227.3 - 4041. Let s = 365.5 - b. Round s to the nearest ten.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -177687*t**4 - 206*t**3 + 39659224*t**2 wrt t.\nAnswer: -4264488*t - 1236","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 65, 72, 77, 74, 57?\n\"Answer: -q**3 + 5*q**2 - q + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**3 + 3*r**2 - r + 1. Let y be i(3). Let f = y - -5. Suppose 5*w + 12 + 5 = -2*k, -15 = 3*w. Solve f*m + 6 = -z - 0*m, 0 = -5*z + k*m + 27 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8504256 and 384?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 154138?\nAnswer: 2, 77069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1 - 0. Let a = -1.0317 + 0.9717. What is the second smallest value in -2, 0.2, s, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0 - 614\/3)*-3. Suppose r = t + 145, -2*t - z - 117 = -5*r. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -33\/2 or -17?\nAnswer: -33\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -12*j - 2. Let t(d) be the second derivative of -23*d**3\/6 - 5*d**2\/2 - 1079*d. Calculate 10*m(b) - 4*t(b).\nAnswer: -28*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 989288977 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 37535 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7734480, 7734484, 7734488, 7734492, 7734496, 7734500?\nAnswer: 7734504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -234 * 4.63633\nAnswer: -1084.90122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3690658?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19159 is divided by 27.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of -f**5\/5 + f**4\/6 - f**3\/6 - 2*f. Let s = -9 - -12. Suppose 4 = s*w + w. What is b(w)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66606 = -3*p - 3*o, p = o + 13519 + 8691. Is 6 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 33*c**3 + 4*c**2 - 4*c + 3. Let r be f(2). Suppose -r = 63*i - 64*i. Suppose 125 = h + 4*h. Calculate the highest common divisor of h and i.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 741141, 741145, 741149, 741153, 741157, 741161?\nAnswer: 741165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 77\/5? (a) 3\/2 (b) -1 (c) -2\/3 (d) 0.4 (e) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 9, h: 5}. What is prob of sequence nnhh?\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -97799, -391251, -880353, -1565105, -2445507, -3521559?\nAnswer: -4793261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of 7*s**4\/24 - 19*s**3\/2 - 32*s**2. Let i be y(9). Solve 3*k - i = v, 2 - 12 = -5*k - 5*v for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6194 is divided by 1486.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0*p**2 + 0 - 10*p**2.\nAnswer: -10*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 - 6*p**2 - 5*p. Let l(a) = 2*a**3 - 11*a**2 - 9*a - 1. Let c(g) = -4*l(g) + 7*t(g). Suppose 7*v - 12*v = -15. What is c(v)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppo when three letters picked without replacement from dpppccldopc?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -1 (b) -5 (c) -3\/7 (d) -2.2 (e) -0.2 (f) 3 (g) 12.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1990 - 3192?\nAnswer: -5182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q - 15. Let m be f(13). Let i = 2 - m. Find the third derivative of 617*p**3 - 617*p**3 - 15*p**2 - 11*p**i wrt p.\nAnswer: -264*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/15*58\/(-87).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6 - 8)*10\/(-4). Suppose -3 + z = -2*s. Which is smaller: 1\/3 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 121633, 119619, 117605, 115591?\n\"Answer: -2014*b + 123647","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**4\/13 - 4278*z**3\/13 - 55992*z**2\/13 + 85912*z\/13 + 361536\/13 = 0. Calculate z.\nAnswer: -14, -2, 3, 2152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 52\/5 of a kilometer in meters?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -459 - -1519. Suppose -7*q + j = 87. List the prime factors of q.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 - 14*f**2 + 12*f + 16. Let n be c(13). Let j be 4\/12*(n + 15). Solve j*d - 20 = d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4228 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 2*z - 3. Suppose -5*u = 5*s - 15, -4*u = 3*s - 4 - 7. What is t(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 9567453, 19134905, 28702357, 38269809, 47837261, 57404713?\n\"Answer: 9567452*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -624.2587 plus 10.8066?\nAnswer: -613.4521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 3. Let t be -4*-3*d\/(-48). Does 3 divide 1\/(t*4\/(-36))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oeoe. What is prob of sequence ee?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2232 - 2236. What is the closest to -1 in 8\/43, -0.2, 1\/2, x?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3*-1)\/(9\/(-1377)). Let b = o - 311. Let s = -2067\/14 + b. Calculate the common denominator of 67\/20 and s.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33870.\nAnswer: 2, 3, 5, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/(-8)*(-159)\/(-9) and 93\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c + 4. Let w be f(-3). Let u(b) = -w + 5*b - 6*b + 4 + b**3 + 3*b**2. Determine u(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - -5241546?\nAnswer: 5241541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -77570 divided by 77570\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5485590?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*c - 34 - 1. Suppose -k - 5*f = 15, 2*k = 3*k - 5*f - 25. Calculate the highest common divisor of k and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.09 + -0.1. Let l = 0 + g. Let r = l + 0.11. What is the nearest to 0.1 in r, -2\/5, 4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4*2\/(-4))\/(((-625)\/250)\/(5\/246))\nAnswer: 2\/123","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.12 + -0.88. Let d = -19.7 + 1.7. Let r = -16 - d. Which is the third biggest value? (a) y (b) r (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -51710*l - 1602929. Calculate n(-31).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22581 + 22583. Solve -4*g + 2*x - q = 0, 5*g - 4*g - 2*x - 1 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*y**2 - 2*y**2 + 3*y**2)*(3*y - 5*y + y) + 4*y**2 + 2*y**3 + y**2 - 2*y**2 in the form s*y + h + x*y**3 + r*y**2 and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 30095*l**3*y - 980*l**3 + 32*l*y + 32*l + 7*y - 209 wrt l?\nAnswer: 180570*l*y - 5880*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 523?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -148, -71 in ascending order.\nAnswer: -148, -71, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 15\/4 of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + -6*(0 + sqrt(72)) - -3*(-4 + sqrt(72) + 0 + sqrt(72))) + 1)**2.\nAnswer: 169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 3*h + 198, -3*f = -h - 8*f - 55. Let m = -62 - h. Let o(v) = -v + 7. Give o(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 + 15. Let y = 5 + q. Suppose 3*h = v - 20, -3*v + 8 = -y*h + 6*h. Does 3 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 239, -1, -4, 4, 2, 305 in descending order.\nAnswer: 305, 239, 4, 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-258)\/(-63) - (-9 + 13)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 282 = -2*i, 4*w - 4*i - 444 = w. Suppose 2*x = 6*x - w. What is the highest common divisor of 24 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, i: 3, z: 1}. What is prob of sequence ii?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 85484 and 212.\nAnswer: 4530652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82*x + 260*x + 325*x.\nAnswer: 667*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/3)\/v**(-2\/9))\/(v\/v**(-2))**(2\/5)*(v\/(v**5*v*v*v)*v**6)**(1\/3) assuming v is positive.\nAnswer: v**(-44\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 6 + 6 - 2*u - 6 + 1. Let h be k(0). Solve 3*m - 8 = h*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-1\/3)\/u)**3*(u\/u**(2\/5))**(-3\/34))\/(u**(-7)*u**(-6)\/u)**(-6\/23) assuming u is positive.\nAnswer: u**(-30127\/3910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -10\/9 (b) -1 (c) 138\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2550 and 282404?\nAnswer: 21180300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 718448089 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -76.88 + 75.88. What is the third biggest value in 2\/9, -1\/12, 2\/3, -0.4, v?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and -84171?\nAnswer: 16834.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31, -26, -7, 32, 97, 194, 329, 508?\nAnswer: 737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-90)\/350*(-9)\/((-108)\/(-40)).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 - ((-24)\/32)\/((-1)\/(-8)). Suppose a*v + 61 = y, -y + v + 22 + 39 = 0. Suppose 0 = -10*r + 13*r - 27. What is the remainder when y is divided by r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 + 37*k**2 - 67*k - 105. Suppose 0 = 4*q + 5*t - 144 - 21, 2*t + 130 = 4*q. Calculate d(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -1.5997.\nAnswer: 3.1994","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 + 5*g**2 - 3*g - 6. Let t = -245 - -269. What is the smallest common multiple of t and z(-4)?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -11, -324, 24, -12 in decreasing order.\nAnswer: 24, 1, -11, -12, -324","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 6*z = -5*o + 414, 0 = -3*o + 5*z + 238. Let y = o + -90. Let f be 35 - (-6 - 16\/y). Solve 2*j = -i - j - 18, -f = 4*i + 5*j for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 10, 5, -4, -17, -34, -55?\n\"Answer: -2*z**2 + z + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1817779728?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i + i - i + (-7*i - 3*i + 4*i + i - 1 + 1 + (5 + 0 - 3)*(-2*i + 6*i - 2*i) - i - i + 5*i)*(3 + 2 - 4) as x*i + z and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3 (b) 4\/5 (c) 2 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20740208933 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 64065 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11439257730*p**2 - 11439257730*p**2 - 2*p**3.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1, 2\/9, 0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23 + -21. Determine h, given that 0 + 1\/3*h**g + 0*h + 1\/3*h**4 - 2\/3*h**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 4*d**3 + 84*d**2 + 80*d = 0.\nAnswer: -20, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*d*h**5 + 61075*d*h**4 + 2*d*h**2 + 962*d + 1898*h**2 wrt h?\nAnswer: -780*d*h**2 + 1465800*d*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 c when two letters picked without replacement from {r: 1, c: 1, x: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 2*h = 3*h - 26, 4*h + 26 = -102956*r + 102955*r for r.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2339 + 22045472463.\nAnswer: 22045474802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.452 rounded to 1 dp?\nAnswer: 5.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -38*m - 56. Let g be a(-2). Solve -6*k = -k + g for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 10*y**2 + y. Let h be a(-1). Let i = 33 - h. Let k = 40 - i. What is the lowest common multiple of k and 6?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000226135 rounded to five decimal places?\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 205 a factor of 2255?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 15*b - 1 - 5)*(-5*b**3 + b**3 + 0*b**3).\nAnswer: 60*b**4 + 12*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**3 + 5*b**2 + 4*b + 7. Let u(i) = -i**3 + 6*i**2 + 5*i + 8. Determine -4*c(q) + 3*u(q).\nAnswer: q**3 - 2*q**2 - q - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 - 8*s**2 - 6*s + 9. Suppose 4*y - 11 = 4*n - 3, -2*y = -n + 3. What is z(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 314*o**2 - 48*o + 15. Let h be c(-18). Suppose 0 = 22*m - 37*m + h. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 12 (b) 114 (c) 1 (d) -10.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**1)**(-2\/47)\/(f**(-2)*f**(-1\/5)))**(-2\/69) assuming f is positive.\nAnswer: f**(-22\/345)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 251904 to the power of 1\/4, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of -h**8\/12 - 13*h**5\/60 - 1259*h**4\/24 - h**3\/6 - 3*h**2 + 12*h. What is the second derivative of i(d) wrt d?\nAnswer: -560*d**3 - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 1 + 0 + 6 + -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -38732, -38648, -38418, -37970, -37232?\n\"Answer: 12*p**3 + p**2 - 3*p - 38742","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*k**2 - 106*k**2 + 68*k**2.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -240.99132 + 241. What is z rounded to 4 dps?\nAnswer: 0.0087","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3289601 + -6\nAnswer: 3289595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4151076 decades in centuries?\nAnswer: 0.04151076","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 366 + -454.8. Let u = -85 - w. Round u to 0 dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w - 1. Let h(g) = -13*g + 15. Let d(m) = 6*m - 7. Let z(q) = -7*d(q) - 3*h(q). Calculate -2*o(j) - z(j).\nAnswer: j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 20 = -4*b + 13, 28 = 4*b - 4*n. Let l = 11 - b. Solve -4*o = -3*c - 35, 0 = l*o - 0*o - 15 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((784\/63)\/(-8))\/((-36)\/27)\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 - 12*k - 13. Let m be d(8). Let y = m - -111. Does 11 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*v**2 - 97191 + 32348 + 32492 + 4*v**2 + 32351.\nAnswer: -3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 308 (base 12) to base 9.\nAnswer: 538","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*j + 10*j + j + 9*j - 13.\nAnswer: 13*j - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -23*c. Let a(j) = 4*j. Let b = 5 - 11. Let t(v) = b*n(v) - 34*a(v). Let s(m) = -3*m**2 + 6*m**2 - 2*m**2. Determine t(s(i)).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rgqqbbrrrbqbb. Give prob of picking 2 r and 1 b.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 42*-1\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (11*(2 - 3))\/(13\/26). Let m = 22 + y. Let q be (-3 - -5)\/(-4 - m). Sort 1\/2, -0.3, 0, q in decreasing order.\nAnswer: 1\/2, 0, -0.3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-3)*(2 + -8). Let f = g + 6. Suppose -2*a - f*a = y - 25, 2*y + 5*a - 56 = 0. What are 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 277632 and 864.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**6*l*l**(-2\/15))\/((l\/l**(-4\/7))\/(l\/(l*l**(-2\/15))*l)))\/((l\/l**(2\/3)*l*l)**29*(l**0*l*l)**(-9)) assuming l is positive.\nAnswer: l**(-908\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/9)\/((-2)\/(-36)) - 0?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1392687443.\nAnswer: 7, 881, 225829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19183249?\nAnswer: 3359, 5711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*1.35.\nAnswer: -0.675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -86c - 1eb?\nAnswer: -a68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 21259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 220\/(-30)*270\/(-55). Solve -60*a + z*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o**3 + 5 - 25*o + 24*o + o**3 + 5*o**2. Let l be t(5). Suppose 4*j - j - 9 = l. Solve r - j = -1 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*a**5 - 604*a**4 + 706*a**3 + 616*a**2 + 104*a = 0.\nAnswer: -1\/3, -2\/7, 0, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 1432, -4 in descending order.\nAnswer: 1432, 8, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*w + 0*w - 23*w**3)*(58*w - 170*w - 80*w) to the form g + d*w + p*w**2 + s*w**4 + i*w**3 and give s.\nAnswer: 4416","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 142 a factor of 91306?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19)\/(-2) + (-23647)\/2482.\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 27*k**3 + 113*k - 327*k + 111*k + 103*k to the form b*k + n*k**3 + z*k**2 + u and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*y + 0*y - 2*y)*(2*y + 2*y - 2*y) + (-y - y + 5*y)*(3*y + y + y) to the form h + f*y**2 + o*y and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -9*h**2 - 13*h - 15. Let d be u(-8). Let g = 3897\/8 + d. Suppose 5*f = 3*f + 6. Which is the nearest to -2\/5? (a) f (b) -4 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79342.\nAnswer: 2, 39671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 6*p**3\/7 - 122*p**2\/7 + 640*p\/7 - 200\/7 = 0?\nAnswer: 1\/3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 400976 a multiple of 184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1225 and 2345?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*f - 3067603 = -3071478 for f.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 3) to base 13.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -2*a + 41. Does 15 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z**3 + 13165329*z**2 + 111905706*z + 52661520 = 0. Calculate z.\nAnswer: -8, -1\/2, 2194230","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -25*g + 9. Let u be r(-4). Suppose 6*a - 23 = u. Calculate the highest common factor of 110 and a.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 4. Let n(s) = -s**3 + 2*s**2 + s - 1. Determine n(b).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(3\/5)\/u)\/u**(-1\/9))**(2\/39))**2 assuming u is positive.\nAnswer: u**(-4\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 - -2) + 3 + -2. Let v(c) be the first derivative of -c**2 + 6*c + 49. What is v(r)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -117 + 116.6. What is the nearest to -2\/7 in p, -2, 3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 17 = 5*c, -c + 2*w - 5 = -7 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5313, 21300, 47957, 85290, 133305, 192008, 261405, 341502?\nAnswer: 432305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mubejmg. Give prob of picking 1 j and 1 m.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 3) in base 11?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -9193, -18082, -26973, -35866, -44761?\n\"Answer: -t**2 - 8886*t - 306","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + k - 6 = 0, -2*v - k + 1090 = 1081 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 108*k - 216*k + 6*k**3 - 148*k**3 + 108*k.\nAnswer: -142*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence knk when three letters picked without replacement from kknnngkkkkkkknnkkng.\nAnswer: 110\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -97556 < -97556?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 5408 = -2*w, -16*w = -14*w - 4. Is 27 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2942 and 3.\nAnswer: 8826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1037 divided by -4.\nAnswer: 1037\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-36)*(-3192)\/190*36\/(-14)?\nAnswer: 24\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -39, -85, -131, -177?\nAnswer: -223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-3))\/((z*z*z\/(z**(3\/4)*z*z)*z*z)\/z))**(-34) assuming z is positive.\nAnswer: z**(221\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 2*d + 3 = d, -2*g + 14 = 4*d. Let m(b) = 4986*b + 42. Let n be m(g). What is n rounded to the nearest 1000?\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -4*h + 3*s + 16, 0 = s. Let f(z) = -20*z - 50. Let g be f(-4). Suppose 46*b - 41*b = g. Solve 3*p = b, -4*p + h = -2*m - 6 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4719684, -9439369, -14159054, -18878739?\nAnswer: -23598424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29548 is divided by 220.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -2\/467?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-42)\/(-56)*(-32)\/(-12))\/(-2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.065 - 6.065. Let x = m + 5.5. Sort 10, -4, x, -1\/6 in increasing order.\nAnswer: -4, x, -1\/6, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1445.74485272 - -852\nAnswer: -593.74485272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.5 + -5. Suppose -12*v - 36 = -32*v + 2*v. Let c be (-30)\/(-21)*(-2)\/(-5). What is the nearest to v in c, w, 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 1, -1\/885083, 3.\nAnswer: -0.2, -1\/885083, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, l: 2, p: 8, w: 2}. Give prob of sequence dwlw.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*4*sqrt(51)\/(5*-1*sqrt(3)) + -1)**2.\nAnswer: 8*sqrt(17)\/5 + 297\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 4*r = -4. Suppose -5*d - r = 24. Let n = -304 + 300. Which is the second smallest value? (a) d (b) 5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*a = -3*x + 3*a + 1, -5*a = 8*x - 14 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**4 + 7*i**4 - 8*i**4 + (4*i**3 - 4*i**3 - 5*i**3)*(0*i + 0*i - i))*(4*i - 7 + 7).\nAnswer: 24*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 65965*i*t + i + 2*t - 1666109 wrt i.\nAnswer: 65965*t + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2264*j**2 - 41416*j - 116229836?\nAnswer: 4528*j - 41416","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*d + 288 - 288.\nAnswer: 9*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -9*l - 32. Let k(o) = 9*o + 0 + 3 - 3*o. Let w(t) = -7*t - 4. Calculate l*w(i) - 5*k(i).\nAnswer: -2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -11474*k**2 - 13*k - 46.\nAnswer: -22948","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n - 2 - 2*n**2 - 16*n**2 - 2*n**2 - 6*n**2 - 41 to v*n + d + r*n**2 and give r.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r**(2\/7)*r)**(-46)\/(r**(-2\/31)*r**13*r) assuming r is positive.\nAnswer: r**(-35822\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(2\/3)*a)\/a)**(1\/24)\/(a\/((a*a\/a**(1\/4)*a)\/a)*((a**10*a)\/a)\/a) assuming a is positive.\nAnswer: a**(-74\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 2)*(22*d**2 - 51*d**2 + 56*d**2)*(178*d**2 - 342*d**2 + 248*d**2).\nAnswer: -2268*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 AM and 9:22 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2940 by -20.\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 - (2 + 1 + (-59 - -70))?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 295 is divided by 35.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 942014210?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1776 at most as big as -1773?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/2*(5 - 1). Let f be 20 + (-2)\/(-1) + c. Let u = f - 13. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**3 + 344490*q**2 - 82965600*q.\nAnswer: 5*q*(q - 240)*(q + 69138)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4785?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 231, 222, 201, 162, 99, 6, -123, -294?\n\"Answer: -l**3 - 2*l + 234","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89*p**2 - 61*p**2 - 26*p**2.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.6 - 3.6. What is the third biggest value in z, -1, 8?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000086394 to five decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 14 (b) -2\/11 (c) 5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -153919325652491 - -0.4.\nAnswer: -153919325652490.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 191204032 to the power of 1\/3, to the nearest integer?\nAnswer: 576","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2.375 + 0.365. Let a = 2.009843 + m. What is a rounded to 5 dps?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (560*n**2 - 593*n**2 - 895*n**2)*(28 + 3*n - 5*n - 7) to k*n + s*n**3 + w*n**2 + j and give s.\nAnswer: 1856","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v**4\/3 + 76467232*v**3\/3 + 121817474858696*v**2 + 730904619750496*v\/3 + 365452271641636\/3 = 0. Calculate v.\nAnswer: -9558403, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1625 and 10075.\nAnswer: 50375","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 - -7. Let d = 7 + m. Let h = -2.5 + d. Which is the closest to -1? (a) 0.1 (b) -0.2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 66*f + 597. Let p be c(-9). Suppose -a = -5*a - 16. Let k = a + 5. Solve -o - p = k for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -3*r + 53. Give x(16).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1523143760 to the nearest integer?\nAnswer: 39027","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -291*u**3*w**2 - 10*u**3*w - 5*w wrt w?\nAnswer: -582*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120 = -r - 5*c + 89, r + 21 = -3*c for r.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.356 + -0.044. Sort -1, q, -4, 0 in ascending order.\nAnswer: -4, -1, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.7614 + 1.7614. Suppose -2*v = -2*d - d - 10, -3*d - 16 = 4*v. Sort 3, d, -1, k in ascending order.\nAnswer: d, -1, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -108550048264 and 0.26.\nAnswer: -108550048263.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9351221 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 + 7*p**2 + 6*p - 1. Give m(-7).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -255.9.\nAnswer: -1023.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 5*o**2 - 3*o + 8. Let t(u) = -1 + u - 3*u**2 + 2*u**2 + 0*u**2. Let f(a) = -a - 9. Let k be f(-8). Let r(x) = k*i(x) - 6*t(x). Calculate r(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 278 is divided by 57?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**3 + 6*o**2 + 5*o - 7. Let p be y(-5). Suppose 1241 - 4946 = 5*r - f, -3*r + f - 2223 = 0. Does 15 divide r\/(-21) + 2\/p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 166140557 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 40281905?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 928422 to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 1, y: 1, b: 1, c: 2}. Give prob of picking 1 w, 2 c, and 1 b.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -d01 (base 16) in base 10?\nAnswer: -3329","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes after 12:31 PM?\nAnswer: 11:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 216 and 468.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 625 divided by 3\nAnswer: 625\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 16) in base 8?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 141 and 51.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8384, 8314, 8244?\nAnswer: 8174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.2, 6931, -7, -1\/4, 3\/5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -18 - 21 - 7*a**2 + 33 - a**3 - a. Determine g(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1279702 is divided by 1836?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.594724 decades to millennia.\nAnswer: 0.04594724","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 - 15*r**2 + 13*r + 16. Let l be h(14). Suppose -m = l*m - 105. Calculate the highest common divisor of 7 and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1393 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -40*o + 15. Let k(u) = -u - 4. Let f be k(-8). Let g(z) = 10*z - 4. Let b(l) = f*s(l) + 15*g(l). Let i(x) = -2*x. Calculate i(b(r)).\nAnswer: 20*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s*s**5*s)*s\/s**(-1\/4)*s*s**(1\/4)*(s**(-7\/4)\/s)\/s assuming s is positive.\nAnswer: s**(-29\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 10*b + 5. Let h be 78\/24 + -5 - b\/(-4). Let i(f) = 4*f - 3*f + 4*f**2 + f**3 + 6 - 5. Determine i(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -31965911, -31965910, -31965909?\n\"Answer: a - 31965912","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-702)\/126 + 9)\/((-20)\/140*-38).\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(-25)*z)\/z)\/z**44*(z**(-5\/11))**(-4\/13) assuming z is positive.\nAnswer: z**(-9847\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -19*y**2. Let d(w) = 10*w. Determine d(l(r)).\nAnswer: -190*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -17486, -17487, -17488?\n\"Answer: -w - 17485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 185\/6 + -877\/30. Let t = -24.96 + 25. Let k = t + -0.54. Which is the smallest value? (a) k (b) y (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191654520 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/15, -443, -13886?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 0*q = -36. Calculate the greatest common factor of q and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 2*v**3 - 2492*v**2 + 17379*v - 248. What is c(7)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -314, 4, -1, 249, 5 in decreasing order.\nAnswer: 249, 5, 4, -1, -314","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of 5*j**4\/6 - 5*j**3\/6 + 11*j**2\/2 + j + 1. Let r be a(-14). Calculate the greatest common factor of r and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*s = -31 - 24. Find the common denominator of (-856)\/160 - ((2 - 0) + s) and 107\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 29\/9 + 4\/(-18). Suppose -2*c - z*q = -4*c + 53, q = 5*c - 139. Calculate the remainder when c is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -372, -371, -370?\nAnswer: -369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -61 + 25 - 2*s + 29 + s. Give k(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 - 6*l**2 - 6*l + 1. Suppose 246*k - 40 = 256*k. What is a(k)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-167)\/(-2)*5)\/(2\/4). Let y = t - 8339\/10. Find the common denominator of 31\/6 and y.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -6*s - 15. Let f be d(-6). Let l = f - 35. Let o = -20 - l. Are o and -6 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87378?\nAnswer: 2, 3, 14563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -5*((-4)\/(-2) - 7). Suppose 2*n - b = -3*n. What are the prime factors of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/(-14)*(-3 - 428\/(-120)). Let m = -5\/21 + p. Let x = 0 - -1. Which is the nearest to x? (a) 0.4 (b) m (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 182 - 105. Let n(r) = r**2 - r - 5. Let c be n(4). What is the greatest common factor of c and m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 128 + -126. Let m(j) = -14*j + 3. Let f be m(-3). What is the hundreds digit of 2\/9 - a*(-4360)\/f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 53984 and 2?\nAnswer: 53984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 129765 from -204842.3.\nAnswer: -334607.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llllllllllllllm. Give prob of picking 2 l and 1 m.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-4)*7*-2. Let s = -11 - -94. Let i = s + -78. What is the fourth smallest value in -1\/2, 3, i, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 26 = -4*s. Let y = s + -9. Suppose y*j = -1 + 9. What is the lowest common multiple of j and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 25 = -4*n - t, 13 = n + t. Suppose -1144 = y - n*y. Is 13 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1084163.4 months to millennia.\nAnswer: 90.34695","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l + 990 = -540. Suppose 12*d - l = 34. What are the prime factors of d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 52 and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (67 - 70) + (3 - 2 - -5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 PM and 12:38 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1451 - -5?\nAnswer: -1446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(((-456)\/(-210) - 2)\/(44\/(-55)))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83795 is divided by 30.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = h - 4. Suppose p + 3*a = -a - 4, -h*a - 8 = 0. Suppose -2*x + p = -0*x. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8551*m + 2221*m + 2218*m + 2221*m + 1889*m.\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (1*45\/(-25))\/(-2) and -37\/22.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 0.3 (c) -3 (d) 9.1 (e) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 34*w + 904. Determine y(-31).\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 829, 835, 841?\nAnswer: 847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -18 - -18.0004. What is y rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6.44 - -8.44. What is the biggest value in 0.4, -608, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11486*f - 5747*f - 5713*f.\nAnswer: 26*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 172 = 2*q. Suppose -3*r + 4*l = -q, -13 - 4 = -r + 2*l. Does 4 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2*u - 3. Let s(x) = 3*x + 7. Let g(c) = 3*s(c) + 5*y(c). Let z be g(6). Let a be 0\/((2 - 5) + z). Solve -3*n = -a*n + 6 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 265*w = 133*w + 137*w - 63400. List the prime factors of w.\nAnswer: 2, 5, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 - -12. Suppose -3*g + f*s - 6 = 0, -4*g + 7*s = 3*s + 4. Find the third derivative of -20*b**4 + 13*b**4 - 4*b**g - 5*b**2 wrt b.\nAnswer: -168*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 192\/(2 + -3 - -2). Let g = j + -1346\/7. What is the nearest to g in 5, 1, -6\/7?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.005 - 0.105. Let v = 35.102 - 35. Let t = v + b. Round t to 3 dps.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 95, 363, 807, 1427, 2223, 3195?\n\"Answer: 88*f**2 + 4*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1860143 - 0.186. Round o to six decimal places.\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 33449*k - 6*k**5 - 34508*k + 2*k**2 - 26*k**5 wrt k.\nAnswer: -640*k**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96128 to the power of 1\/2, to the nearest integer?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-120)\/5)\/4*1\/(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -161151, -160981, -160811, -160641, -160471?\nAnswer: -160301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (80\/(-90)*-18)\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wa when two letters picked without replacement from awaawwwwwwa.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 1 r when three letters picked without replacement from aajrrryyxjayyjrrqa.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (3 + 1 - 3) + 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -2*o**3 - o**2 + 2*o + 121. List the prime factors of g(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*h - 13*h = 0. Let r(k) = -k**3 + 4. Let s be r(h). Factor -4\/5*u**2 + 0 + 2\/5*u**3 + 0*u + 2\/5*u**s.\nAnswer: 2*u**2*(u - 1)*(u + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/470564751 greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of -3*x**2 + 0*x + 0 + 1\/24*x**4 + 0*x**3. Let s(d) = -d. Calculate s(v(c)).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/v**(2\/7)))**(4\/13)*v**(-1\/6)*v*v**6 assuming v is positive.\nAnswer: v**(3779\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 AM and 5:34 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 PM and 9:30 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 94 - 91. Suppose 3*b + x*z - 174 = 327, -z = -b + 163. List the prime factors of (-22)\/b + (-6214)\/(-30).\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -1*-2*((sqrt(171) - 2*sqrt(171)*4) + 5*sqrt(171)*-1))**2.\nAnswer: -288*sqrt(19) + 98500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2563, -2522, -2469, -2398, -2303, -2178?\n\"Answer: z**3 + 34*z - 2598","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 - -4. Let c(x) = x**3 + 8*x**2 + 5*x - 10. Let r be c(y). Solve 3*h + r*i - 16 = 7*h, 2*h + i = -8 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188 = -83*u + 130*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 - 12*n - 10. Let z be w(-6). Solve 0 = 21*m - z*m - 15 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:48 PM and 9:55 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/4 of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (76*c - 332*c - 217*c)*(4*c**3 - c**3 - 2*c**3).\nAnswer: -473*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 531 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -27945\/7454?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-27))\/((45\/27)\/5)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 93 = 3*k, -2*k + 4*n + 55 + 7 = 0. Let h = k + -10. What is the greatest common factor of h and 168?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -34 - -42. Suppose -3*f = -q - 25. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111122 (base 3) to base 14\nAnswer: -1c4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 1122*z**2 + 34*z - 2. What is the thousands digit of t(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.847*-3.3\nAnswer: -2.7951","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 8, r: 6, e: 3, w: 1}. What is prob of sequence ees?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 + 8. Let z be (-385)\/(-88) + 1\/(-4). Let n = 181\/40 - z. Which is the closest to n? (a) -1\/5 (b) u (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -134, -150, -176, -218, -282?\nAnswer: -374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 370 (b) -0.5 (c) 3\/7 (d) -5 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-7\/6))**(2\/9) assuming c is positive.\nAnswer: c**(-7\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*j - 2630387 = -9*j - 330349. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1313, 4636, 13495, 30608, 58693?\n\"Answer: 453*y**3 + 50*y**2 + 2*y + 808","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 421 - 419. Sort s, 0, 10, 1 in ascending order.\nAnswer: 0, 1, s, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6360.037 milligrams in nanograms?\nAnswer: 6360037000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 - (-5 + (0 - -4) - 4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 100121 + 10022212211?\nAnswer: 10100020102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - (27\/(-9) - (-9)\/4). Let t be (-18)\/12 + (-7)\/(-6). What is the smallest value in -3, t, j?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.703423 != 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -379 + 374. Let m = 2 - 1.8. Put h, -0.3, m in increasing order.\nAnswer: h, -0.3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10240 and 150016.\nAnswer: 512","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/984 and 119\/696.\nAnswer: 28536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 224 (base 8) in base 16?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 3*o**3 + 5*o**2 - 5*o + 7. Let x(h) = 4*h**3 + 4*h**2 - 4*h + 8. Let a(b) = 3*m(b) - 2*x(b). Determine a(-8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 555343 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - a - 7 + 0 = 0, -5*j + 17 = -2*a. Let g = -97 - j. List the prime factors of (-2 + g\/(-35))\/((-2)\/(-238)).\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 3*x = -0*d, 0 = -5*d + 2*x + 7. Suppose -5*b - d = -1. Suppose -3*n - 3*v - 6 = b, -2*n - 3*v = 2*v + 10. Which is smaller: n or -1\/29?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-10))\/(1\/5*-3)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -50 + 60. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.055 + 149.945. Let r = 150.003 - p. Round r to 2 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 71170.\nAnswer: 2, 5, 11, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 68624670 to the power of 1\/2, to the nearest integer?\nAnswer: 8284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -2. Let l(d) = 26*d - 62. Let b be l(3). Solve c = -h - o*c - b, -c = -5*h + 4 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**3*y**(-25) assuming y is positive.\nAnswer: y**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p - 5. Calculate d(-8).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93*z - 416 - 142 = 0 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 22*d**2 + 11*d + 35. Let c be i(0). Let s be 2\/(-6) - 20\/3. Let t = -2 - s. What is the highest common factor of c and t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -118*b**3 - 19*b**2 - 42*b - 204. Does 34 divide a(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0*((0 - 4) + (-54)\/(-12)). Solve a = 2*z - 2*g + 6 + 12, 5*z + 40 = 4*g for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 3199*q = 3201*q + 14, 5*q = 3*a - 63 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -649*b**5*y**2 - 4*b**3*y**2 - 6671*b**2*y**2 wrt b.\nAnswer: -38940*b**2*y**2 - 24*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 39478227 to the nearest integer?\nAnswer: 341","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.1 * -3.9.\nAnswer: 15.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -205 = 24*w - 61 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 137150 is divided by 650?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 184 - 357. Let z = 279 + n. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.1337 + -0.0297. What is d rounded to one dp?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 859249\/6 - 144695. Let p = j - -1497. What is the common denominator of p and 67\/20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -910, -1086, -1262, -1438, -1614, -1790?\nAnswer: -1966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -684, -683, -682, -681, -680, -679?\nAnswer: -678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/63*(7 - (-11)\/(-2)). Which is the biggest value? (a) j (b) 16\/5 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/923? (a) 2\/7 (b) 7 (c) -55 (d) -2 (e) -2.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do 0.4 and 0.996 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 89*z**2 - 1868*z - 23. Determine i(21).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 + -7. Suppose -8*h = -l*h - 128. Is h a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1078.4667+-83.16\nAnswer: -1161.6267","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26797*f**2 - 26792*f**2 + 7 - 4*f**3 - 26824*f**2 + 80413*f**2.\nAnswer: -4*f**3 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of -y**5\/60 - y**4\/12 - y**3\/6 + 3*y**2 + 13. Let w(j) be the second derivative of q(j). Suppose w(m) = 0. What is m?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 - 5*d - 2. Let y be o(-4). Solve 0 = -y*r - 1 + 5 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -871.\nAnswer: -2\/871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 5*z - 15 = 0, 361*z = 4*w + 366*z - 15 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*z**3 + 0*z + 0*z - 4*z**2 + 4*z**2 + z**3 + (-3*z + 3*z - z)*(3*z**2 - 6*z**2 + z**2) - 390*z**3 + 396*z**3 - 368*z**3.\nAnswer: -356*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + 352?\nAnswer: 352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of l**5 + 6*l**5 - 4*l**4 - 7*l + l**5 - 28*l wrt l?\nAnswer: 160*l**3 - 48*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 837*t - 1672. Let y be i(2). Solve -f = a + y, 39*a - 35*a + 6 = -5*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/4*(-115)\/(-15)*12. Let y = -112 - m. Solve b + 16 = -y*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -11*w + 81. Let k be p(7). Let h(m) = m**2 - 6*m + 4. Let a be h(6). Suppose 0 = -4*o + 4*g - 4, a*g - 22 = -6*o + 4*o. Solve -o*b = -k - 5 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wt when two letters picked without replacement from nnnnnnnnjtwqjnnjw.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -9*p**3 + 3162*p**2 - 279825*p + 367500 = 0. What is p?\nAnswer: 4\/3, 175","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -935 in 1\/3, 0.04, -0.2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 5*v**2 + 44*v + 7. Calculate l(-7).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h = -87 + 382. Put 2, h, -4 in ascending order.\nAnswer: h, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 38*s - 192. Let n be t(5). Let h = 8 + -4. Let a be 0 + 0 + (-20)\/h. Sort 0, -3, n, a in decreasing order.\nAnswer: 0, n, -3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22\/(-77))\/(1\/(-21)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -2*s - 34 + 236, 5*t - 220 = 4*s. Suppose 0 = 10*k - t - 22. Let u(h) = 18*h - 2. What is the hundreds digit of u(k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60 and 736140.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-76)\/(-40)*-2)\/((-2)\/36*-9)\nAnswer: -38\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 671207469?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2091 and 132307?\nAnswer: 6747657","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u - 46. Let q be n(0). Let b = q - -139\/3. Let f = 22 + -22. Which is smaller: f or b?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of 3*v**3 + v**2\/2 + v + 2. Let q be l(-1). Let i(b) = b**3 - 5*b**2 - 9*b + 8. Is i(q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5012*s + 489057 + 308429 - 216094 = 0 for s.\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 + 2)*(-2*x**2 + 4*x**2 - 3*x**2)*(25 - 27 + 4*x + 6*x).\nAnswer: -10*x**3 + 2*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7 and 1074.285.\nAnswer: 7519.995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 - 5*r**2 + 8*r + 19. Calculate the remainder when 263 is divided by n(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*v + 2*v - 2*v)*(-3 + 0 - 1) - v - v + 0*v + (2 - 4 - 1)*(2*v + 0*v - v) in the form f*v + x and give f.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -6*u + 26. Let m be v(3). Suppose m*d - 4*d - 840 = -2*n, -428 = -2*d + n. Calculate the remainder when d is divided by 67.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33\/(-869))\/((-6)\/(-40)*10).\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 9*k - 7*k - k. Let u(n) = -4*n + 2. Let c(m) = -5*o(m) - u(m). What is c(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -2 + 3 + sqrt(5324) + 1 - ((sqrt(5324) + 1)*1 + sqrt(5324) - (sqrt(5324) - 1*sqrt(5324)*1)))**2.\nAnswer: -220*sqrt(11) + 5349","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 270204127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (228\/(-30) - -2) + 6?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3307076, 6614163, 9921248, 13228331, 16535412, 19842491, 23149568?\nAnswer: 26456643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -1\/13, 0.1, 3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = l - 2, -2*l + 4*l - 9 = -n. Let v(u) = 4 - l*u + 437*u**2 - 2 - 438*u**2. Calculate v(-5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -34484 divided by 7995\nAnswer: -34484\/7995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.2 + -44.15.\nAnswer: -42.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of -l**3\/3 + 9*l**2\/2 - 20*l + 57. Let r be v(5). What is the nearest to -5 in 1, -2, r?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6)\/(-1) + 3*(2 + -3). Solve -3*w = -6*w + j for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence liss when four letters picked without replacement from {s: 6, i: 1, g: 3, l: 5}?\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - 0)\/(88\/24 + 9 + -12). Let z(k) be the first derivative of 0*k + 3 - p*k**2. Let o(i) = i**2. What is o(z(a))?\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-4) + 3 + -3)*1.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29a2ca (base 13) in base 7?\nAnswer: -11454624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*c + 13*c**2 - 12*c - c**2 to a*c**2 + x*c + p and give a.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -3\/254?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -33*m**3 - 8*m**2*q**2 - 13*m*q + m - 6*q**2 wrt m.\nAnswer: -198*m - 16*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7\/4 of a gram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11191 and 3249.\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 - 1630*p**2 + 4744*p - 253123. Determine j(-1633).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of 2 + 0 - 2*q**2 - 1 + 0. Let l(u) = u. What is l(d(i))?\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(6\/19)*(x*x**(2\/35)\/x*x)\/x*x assuming x is positive.\nAnswer: x**(913\/665)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 49 - 22. Let k be (-6)\/(-27) - (6\/g + -4). Let u(h) = -h - 4. Let m be u(-6). Solve -12 = -i + m*x, 0 = i + 2*i + 2*x - k for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1268 is divided by -4 - (-618)\/51 - (-56)\/(-476)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w + 2. What is t(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -97, -178, -245, -292, -313, -302, -253?\nAnswer: -160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -0.2, 0, 2\/3, 4\/59 in decreasing order.\nAnswer: 6, 2\/3, 4\/59, 0, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - -38 - (14 + 76) - (-8 - (-1 + -2)).\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11103229 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5308852457 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 + 3*j - 1. Let u be f(7). Let o = 36 + u. What is the derivative of -o*z**2 + 17 + 7*z**2 + 13*z**2 - 6 wrt z?\nAnswer: 26*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 997.8 times 2.18?\nAnswer: 2175.204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -5.393 - 0.1744\nAnswer: -5.5674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 13819 + -13829.095. What is a rounded to one decimal place?\nAnswer: -10.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 752065?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 2*y = -4, -5*j + 28 - 3 = 3*y. Suppose j*v + 2*d = 7*d + 1, v = 3*d - 1. Suppose -9 = -v*f + 5*f. Which is greater: f or 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 103847?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-12)*7*(-6)\/1?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**3 + a**2 - 6*a + 29. Determine m(0).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -54482 * -31.\nAnswer: 1688942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the third derivative of -x**6\/15 - 167*x**5\/15 - 122*x**4\/3 + 328*x**3\/3 - 82*x**2 - 2*x - 3. Factor g(f).\nAnswer: -4*(f + 2)*(f + 82)*(2*f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1894317094 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*k = 71*k + 28. Suppose -k*r - 15 = -3*m - 35, -4*r = -8. Let x = -0.1 + 0.2. What is the third biggest value in m, x, 0.5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -15114*d. Let m(n) = 102*n. Let a(b) = -297*m(b) - 2*o(b). Let z(s) = -61*s. What is z(a(g))?\nAnswer: 4026*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1016 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: Which is smaller: -3 or 22823\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, 234, 3 in descending order.\nAnswer: 234, 3, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbb when three letters picked without replacement from bbbb.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 18441 - -51077. Let g be 8\/(-14) - h\/(-14). Suppose 5*m = 2*m + g. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -671 + 705. Does 7 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1 + 2 + 5 + 3. Suppose -t*s + 7*s + 934 = 0. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*h - 12*h - 4*h + 25 in the form k*h + r and give r.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 168842348?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0.2, -3, 225, 0 in ascending order.\nAnswer: -3, -0.3, 0, 0.2, 225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2119*n**2 + 45*n**3 - 22*n**3 + 2119*n**2 - 25*n**3.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 20 = -7*w. What is the derivative of 0 + 0 - 2 - 6*h + w wrt h?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 11*i - 3. Suppose n + 4 = 3*n. Let m = -11297 - -11542. Calculate the remainder when m is divided by d(n).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 4)*(2457 - 2092*p - 2457).\nAnswer: 8368*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2926 divided by 1\nAnswer: -2926","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h. Suppose -2*p = 3*p + 15. Let v(n) = -3*n. Let i be 176\/26 + (-231)\/(-1001). Give i*b(u) + p*v(u).\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 - (18 + (16 - 60))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - 129?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g**3 - 5*g**3 - 7*g**3)*(9*g**2 + 2*g + 13 - 6 - 3).\nAnswer: -108*g**5 - 24*g**4 - 48*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -399 - -414. Let h(a) = 6*a**2 + a + 4. Let w(f) = -5*f**2 - f - 3. Let i(n) = 4*h(n) + 5*w(n). Let l(o) = -2*o**2 - 3*o + 3. Calculate j*i(p) - 5*l(p).\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7.3 + 7. Let p be (-3)\/5*1130\/(-678). What is the nearest to 0.3 in r, p, 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3615988067 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (2263712\/169035)\/109 + (-4)\/30?\nAnswer: -2\/191","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 5*b = 26 - 21, -o + 2*b = -1 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -70271*h**4 + 124868 wrt h?\nAnswer: -281084*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 128 and 104?\nAnswer: 1664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-30 - 10*v + 30)*(-6 + 4 + 1)*(3*v + 3*v - 5*v).\nAnswer: 10*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**1*l**0)\/(l*l*l**5*l**(1\/6)))**(2\/23) assuming l is positive.\nAnswer: l**(-37\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 PM and 2:50 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y**2 + y**3 - 7*y + 3*y**3 - 8*y**3 + 4 + 0*y**3. Let n(q) = -q**3 + q + 1 + 2*q - 4*q. Let h(v) = -5*n(v) + o(v). Determine h(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7106419 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((-5)\/(405\/(-6))*3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 - 3*v**2 - 2*v + 4. Let g be 8\/10 - 56\/70. Let j = -3 + g. List the prime factors of y(j).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 766843?\nAnswer: 7, 11, 23, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 38823751 to the nearest integer?\nAnswer: 339","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2791240002?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31683 - -31678. What is the third biggest value in -2, -4.94, l, 5?\nAnswer: -4.94","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u = 5*z - 13, 3*z + 3*u + 3 = -0*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 571351 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t - 3. Let f be b(5). Suppose 3*z + 41 - 101 = 0. Find h, given that 7 - z*h**2 - 5 - f*h + 5*h = 0.\nAnswer: -1\/4, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1093 - -1129. Calculate the remainder when 996 is divided by y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/6)\/(6\/9). Calculate the smallest common multiple of z\/(-2)*(-24)\/2 and 5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 398733 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 402 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(4719) - (2*sqrt(4719)*2 - sqrt(4719))))\/(((sqrt(36)*1)\/sqrt(2))\/(sqrt(6) + sqrt(66)\/(1*sqrt(11))))*-1.\nAnswer: -132*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 + 134*k**2 - 4393*k + 215. What is y(57)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from {d: 2, h: 10, u: 1, t: 7}?\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*h = -12*h - 471. Let d(b) = 74*b - h*b + 81*b. Let x(q) = -2*q**2. Calculate d(x(k)).\nAnswer: 4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 663661572 divided by 7.\nAnswer: 94808796","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 3*h**2 + 14*h - 2. Calculate the smallest common multiple of 11 and b(-6).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(300) + 1) - sqrt(300))**2 + (sqrt(300) + 0)*-5 + 3*(sqrt(432) + -1 - sqrt(432))**2 + 4)*6.\nAnswer: 1140*sqrt(3) + 28896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 47483531 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -4*b**3 + b + 4. Let r(o) = -o + 4*o**3 - o - 3*o**3 + o - 1. Calculate -n(a) - 2*r(a).\nAnswer: 2*a**3 + a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 6 + 3 = -4*v, 2*v = 4*z - 6. Is 1\/234 less than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 87557\/3*6\/20. Suppose -6*n + 43740 = -n. Let t = n - w. Calculate the common denominator of -17\/4 and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes after 1:55 AM?\nAnswer: 9:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-306)\/(-3)*((-5)\/(-25))\/(54\/90).\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6449119?\nAnswer: 1487, 4337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*v = -2*z - 47*v + 3779, 5*z - 5*v - 9500 = 0. What are the prime factors of z?\nAnswer: 7, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 81 a factor of 182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(0 + (sqrt(128) + -4 + -2 - (4 + 3 + sqrt(128)))*-5)**2.\nAnswer: 8450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/5))**(1\/13)*o\/o**(1\/3)*o**(-11)*o assuming o is positive.\nAnswer: o**(-1823\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (42\/54 + -1)\/((-32)\/2124978). Let b = -14754 + t. Find the common denominator of 85\/36 and b.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4 + -3)*-3 + -2. Let x = 25.3 + -25.4. What is the second biggest value in -0.5, x, w, 0.2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**5\/4 - 3249*y**4\/4 - 813*y**3.\nAnswer: 3*y**3*(y - 1084)*(y + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*1*sqrt(3) + -5)**2 + -3*sqrt(15)\/sqrt(5) + -4)*2*-5.\nAnswer: -960 - 470*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 42 + -40. Suppose -r + 45 = -2*o, 89 = 2*r - w*o + 3. Calculate the common denominator of r and 23\/11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/3725 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + -32414321544?\nAnswer: -32414321544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -73 - -40. Let w = -33 - y. Suppose w = -5*g + 3*j + 23 + 6, 18 = 3*g - 2*j. Which is greater: g or 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 413357496.\nAnswer: 2, 3, 137, 125717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z - 2. Give h(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 84960667 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4 or 381\/70?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20502, -41004, -61506, -82008, -102510?\nAnswer: -123012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/6 + 200\/(-60).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -11, 1, 51 in increasing order.\nAnswer: -11, -3, 1, 51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eqeqqcqqce. Give prob of picking 1 e and 2 c.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**2 - 163*j - 329. Give y(165).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 71\nAnswer: -4\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3817405214 to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 196\/3 - 65. Which is the closest to 0.1? (a) s (b) 2\/3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 257532 to the nearest integer?\nAnswer: 507","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 3*k**2 + 2*k + 1229. Let x(v) = -2*v**2 - 10*v + 3. Let d be x(-5). Let w(f) = -f**2 + 5*f - 6. Let h be w(d). Is m(h) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 87499860?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Solve 8*g - 3*t = 7*g - 11, 0 = 2*g - 3*t + 10 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ud when two letters picked without replacement from duuud?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 - 2*r - 3. Let d be i(-2). Suppose -6*f + 15 = 5*y - f, 3*y - 17 = f. Let a = y - d. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1888316.\nAnswer: 2, 61, 71, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 507229 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 135368504 and 152289567?\nAnswer: 1218316536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 722*l - 8. Let z(i) = -2169*i + 22. Determine 8*r(a) + 3*z(a).\nAnswer: -731*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130 is divided by 36.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(1700) + sqrt(1700))*-2)**2 + -3*((1 + sqrt(1700))**2 + sqrt(1700)) + sqrt(1700)*3 + -5 + -4.\nAnswer: -60*sqrt(17) + 22088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, -3, 2\/453, 2\/153, -0.3, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -493*m**2 - 22*m - 2?\nAnswer: -986","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 - 63*r - 2331. What is g(-25)?\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -21*x**2 - 148*x - 9. Let t be w(-7). Suppose -21 = -2*c + 5. What is the remainder when 26 + 3 + t + 4 is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mhw when three letters picked without replacement from {h: 1, c: 5, w: 1, t: 1, m: 2, y: 3}?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 111029 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3474881 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1080689916?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 2. Suppose 0 = -3*f - 5*n + 16, -3*n - 6 + 14 = f. Solve -t = w - 6 - 0, -f = -5*t + l*w for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 3 t when four letters picked without replacement from {u: 2, t: 4, p: 8, c: 3}?\nAnswer: 8\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the second derivative of -z**5\/20 - z**4\/6 + z**3\/2 + 3*z**2\/2 + 5*z - 2. Let d(w) = -5*w + 2. Let f be d(2). Let p = 6 + f. Calculate y(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14 * -3.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10356 and 812832?\nAnswer: 701474016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -310 - -4648\/15. Let a = 0.3 - 0.1. Which is bigger: a or d?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.299, -3\/4, -2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 122429\/770 + -1746\/11. Let z = d - 1\/14. Suppose 2*i - 2*y = -0*i + 12, -4*i - 6 = 2*y. What is the biggest value in z, -0.5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - -7) + (1 - 1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, 3, 445, 5, 36, 7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - 0. Let i = 3 + f. Let 1\/5*r**i + 0 - 1\/5*r = 0. What is r?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1015 is divided by 25.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**2 + 12*k - 23. Let d(v) = v**2 + 15*v + 9. Let a be d(-15). Let h be i(a). Solve 0 = -h*b + 3*b + 3 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 2*q = -4 - 6, -5*k + 2*q = 46 for k.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, 9, 7, -137 in descending order.\nAnswer: 9, 7, 5, 3, -137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(-12)*9*4. Is (b\/(-2))\/((6\/(-1060))\/1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, -2, 4 in ascending order.\nAnswer: -2, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.006 - -113.006. Let t = h + -113.00087. Round t to four decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90507893 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of -14*t**6\/3 - 4*t**3\/3 - 77*t**2 + 105. Find the second derivative of n(z) wrt z.\nAnswer: -560*z**3 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2452021261 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 28 + 16626.\nAnswer: 16654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 + -2)*(3 - 4). Calculate the highest common divisor of 3 and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6465 + -41?\nAnswer: -64a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 28490 and 12705?\nAnswer: 940170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 4:12 PM?\nAnswer: 10:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 2:40 PM?\nAnswer: 12:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*s**3 + 148*s**2 - 3960*s = 0. What is s?\nAnswer: -55, 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 47829021.\nAnswer: -1\/15943007","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2571081 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: In base 9, what is -16140736 - -6?\nAnswer: -16140730","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.2 and -3\/8 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -176983*u**4 - 193197*u?\nAnswer: -2123796*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 25*s**3 - 6*s**2 - 12*s - 24. Let h(o) = -27*o**3 + 7*o**2 + 14*o + 25. What is 6*h(r) + 7*k(r)?\nAnswer: 13*r**3 - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + 3*f. Suppose -4*y - 6 + 14 = 0. Suppose 2*x - 73 = -y*x + 5*l, 0 = 3*x + l - 31. Solve -4*d = -f*d + x for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 8 = -2*u, 0 = -29*u + 28*u + 2. Solve z + 2*p = 5, 1 = 5*z + p + t for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.12 - 0.62. What is the second biggest value in -0.4, 2\/5, r?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1004 - 946 = -50*b. Calculate the greatest common divisor of 416 and b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -147*h**3 + 3859138584*h**2 + 2205222084*h + 315031728 = 0.\nAnswer: -2\/7, 26252644","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6? (a) -1\/7 (b) -2.928 (c) -4 (d) -0.3 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 14088?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 44000 - (-2 + 2)*1. Round d to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -96 - -52. Let c = -48 - l. Let d(w) = w + 1. Let u(x) = -x - 1. Calculate c*d(t) - 3*u(t).\nAnswer: -t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 13*j**2 + 11*j - 7. Is d(7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 31\/2 of a litre?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000661 rounded to 5 dps?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.03039 at most as big as -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 1571, 2.17, -12\/49 in descending order.\nAnswer: 1571, 2.17, -12\/49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of w**3\/3 - 21*w**2\/2 - 39*w - 2. Calculate the remainder when b(23) is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2.46 + 2.66. Let i = 2 - 1.9. What is the nearest to i in -2, a, -0.4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -703 (base 12) to base 14.\nAnswer: -523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 93 and 465.\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56 and 13816.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (2 + -1 - (15 + -5)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 374 - 380. Let k = -2.6 - -2.7. Let g = -83 + 251\/3. What is the nearest to k in -4\/5, g, w?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 83, 5 in ascending order.\nAnswer: 5, 7, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6\/2*(14\/6 - 0) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 129 divide 44118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -3\/7 (b) -1 (c) -0.104 (d) -0.1 (e) -2 (f) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1832.5 + -1484. Let a = -349 + o. Let g = -71\/46 + 1\/23. Put 7, a, g in increasing order.\nAnswer: g, a, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 3*b = -8. Suppose -b*c = 2*g - 12, -24 = -5*g + g - c. Let z be 105*(-42)\/(-225)*2\/7. Which is greater: z or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -11 - 149*w**3 + 8*w - 6*w**2 + 295*w**3 - 144*w**3. Let y be c(3). Solve 5*i = 3*j - 9, i + 5*j = -0*i - y for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -395, 13, 0, -7 in descending order.\nAnswer: 13, 0, -7, -395","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1075 + 1095. Let x = -2 + 3. Which is the closest to x? (a) 2 (b) 4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**1)**(7\/2)*w*w**(-1\/3)*w*w**(1\/9)*(w**5\/(w*w**5))\/(((w\/((w\/w**(-3))\/w))\/w)\/w*w**(-6\/5)) assuming w is positive.\nAnswer: w**(853\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 3*c**3 + 108*c**2 - 273*c - 1710 = 0.\nAnswer: -38, -3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/6*41\/((-615)\/30)*11?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-9)*-2 + 1. Let w = 0.37 + 0.13. Which is the third biggest value? (a) w (b) 3\/2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 6*k - 3*k + 2609, 3*u + 4*k + 7812 = 0. Round u to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -14afe + -e2?\nAnswer: -14be0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (18\/12)\/(2\/124). Let x(k) = -k**3 + 12*k**2 - 2*k - 5. Let c be x(6). Let b = c - n. Is b a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 221 = 5*m + 156, 0 = -2*m - y + 26 for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/243)\/((40\/(-25))\/4)*-3.\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -439191 divided by -6.\nAnswer: 146397\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 221664?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_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: In base 7, what is -306345 - -3?\nAnswer: -306342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of -s**3 - 1\/3*s**4 + 0*s - 17*s**2 + 0 + 1\/30*s**5. Let y be f(5). Solve 2*g + y = -2*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 18*a*f**2*p + 2*a*f*p + 2*a - 41*f**2*p - 13*p + 12 wrt f?\nAnswer: 36*a*f*p + 2*a*p - 82*f*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/(c*c\/c**(-1\/9)*c)*c)\/(c*c**(-4\/3)\/c)*c*c**1*(c**2\/c)\/c*c assuming c is positive.\nAnswer: c**(29\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/4 - 364\/280. Let i = 111 - 136. Is i at most as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 183*a + 92*a + 75*a in the form o*a + i and give o.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1737802220 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 + 1. Let l be 1\/(-4) + (-155)\/v. Does 16 divide ((-30)\/l)\/((-2)\/(-24))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1031054683 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1408, 24, 116 in decreasing order.\nAnswer: 116, 24, -1408","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 395461?\nAnswer: 11, 35951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*j + 4*s, 5*j - 4*s - 44 = -8 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*m + 156 + 104. Let r(f) = f**2 - 27*f + 21. Calculate r(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.59 - -0.41. Suppose 4*k - 20 + 4 = 0. Which is the closest to 0? (a) l (b) k (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2\/5 (b) -0.4 (c) 869 (d) -1 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0351 + -0.0351. Let w = 37 + -17. Let x = w - 23. Which is the closest to 0? (a) t (b) x (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 + 40*w**2 + 128*w + 2180. Determine o(44).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 159\/15 + -2 + -8\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 31, 57, 61, 31, -45, -179, -383, -669?\n\"Answer: -2*y**3 + y**2 + 37*y - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1946 - -47a?\nAnswer: 2204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8.7? (a) 2\/5 (b) 36 (c) -3\/5 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 + -10 + 7 + -7. Let p be (r - (-215)\/30)\/(3\/135). Solve 55\/6*o**2 - 5\/3 - p*o = 0.\nAnswer: -2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of b**4\/14 - 9*b**3\/7 + 6*b**2 + 7*b + 57. Find k such that j(k) = 0.\nAnswer: -1\/2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29580556.3 - -29580453.29999975. Let c = h - -103. Round c to 7 dps.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) be the second derivative of -u**6\/90 - 2*u**5\/45 + u**4\/18 + 4*u**3\/9 - 10*u**2 + 16*u. Let i(o) be the first derivative of m(o). Factor i(t).\nAnswer: -4*(t - 1)*(t + 1)*(t + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 6085*l - 730189. Calculate q(120).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/u**1))**37 assuming u is positive.\nAnswer: u**37","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -651336 + 4*x**2 + x - x**2 + 651333. Calculate w(4).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 4*p**2 + p + p**3 - 16*p**2 + 11*p**2 + 7. Give v(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 46304 to the nearest integer?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 56081 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-4))\/(-2*(-3)\/8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/10 in 2\/13, 0.08, 5, -1?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 + 10*u**2 - 11*u + 6. Suppose 5*o + c = -0*c + 50, 2*c = 2*o - 8. Let l be h(o). Let y = -5 - l. What is the remainder when 13 is divided by y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 6 - 14 = 3*k, c = 3*k + 4. What is the highest common divisor of 3 and c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 20 - -4060?\nAnswer: 4100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 2*p + 3*p - 120, 108 = 5*y + p. Find the second derivative of -3*k + y*k + 45*k**2 - 12*k wrt k.\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 175 and 2131448?\nAnswer: 373003400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 5 = -s. Suppose s*p + 0*z - 294 = -2*z, z = -p + 60. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1*16)\/((-16)\/(-152)). Suppose -8*f + d = 30*f. Solve -2*m - 6 = 5*k, f*k + 2*m + 12 = -2*m for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 31796719 and 117583?\nAnswer: 3793","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 271 + -276. Put -4, v, -9 in ascending order.\nAnswer: -9, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20*g - 16*g + 5*y - 4, -5*g - 2*y = -5 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 43 - 44?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.619764 centuries?\nAnswer: 6.19764","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 355315 by -2.\nAnswer: -355315\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*c, -5*z + 2 = 4*c - 6*c. Suppose -z*u = 3*i - 8 - 16, i + 3*u = 15. Determine v, given that 0*v + 0 + 4\/3*v**2 - i*v**3 = 0.\nAnswer: 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 2:14 PM?\nAnswer: 9:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11\/81 + -202\/891. Sort j, 2\/13, 1 in descending order.\nAnswer: 1, 2\/13, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4800*w**2 - 66*w**4 + 2116*w + 4*w**5 + 260*w**3 + 5884*w - 2*w**5 = 0. Calculate w.\nAnswer: -5, -2, 0, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**7)\/(u*u\/u**(-1\/4)))\/((u**(-1\/3)\/u)\/u)**(28\/5)*u**(-9)\/(u*u*u**7\/u*u)*(u*u**(-1\/6))\/u**4 assuming u is positive.\nAnswer: u**(-327\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3833*r**5 - 40684*r**2?\nAnswer: -229980*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1721379898 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: What is prob of sequence gd when two letters picked without replacement from dgdjgdgddgg?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7\/10, 0, 3, -4\/27, -0.5, 9 in ascending order.\nAnswer: -0.5, -4\/27, 0, 7\/10, 3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -3, -121*t - 3*q + 19 = -117*t. Solve 0 = -t*r - 4*m, r + 0*m - m + 4 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -133.118 + 133. Let j = h - -0.084. Which is greater: -1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 0.4 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4174307 and 1193.\nAnswer: 1193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -400091*c + 398758*c + 141298 = 0 for c.\nAnswer: 106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 187599\/30569 + -3\/5558. Let b = 137145\/19096 + -773\/248. Let w = o - b. Calculate the common denominator of w and -1\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from tfttttftttttft.\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes before 11:05 PM?\nAnswer: 4:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38 + 39 - (1 - 6).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -54*r**4 + 32*r**4 - 4 - 3 + 2*r**3 + 16*r**4 to the form v*r**3 + b*r + u*r**4 + j*r**2 + n and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2.624 and -3590?\nAnswer: 3592.624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 171 divide 11220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a + 5*k + 123, 0*a - 3*a = 3*k - 72. Let h(y) = -19*y - 15. Calculate the remainder when h(-5) is divided by a.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 0.053, 2\/7, -7, 6, -2, 5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of -w**6\/120 + w**5\/12 + 7*w**4\/24 - 4*w**3\/3 + w**2 + 3*w - 185. Let u(r) = r**3 + 3*r**2 + 2. Let t be u(-2). What is s(t)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1417030431 - -1417030248.0000206. Let i = -192 - -9. Let o = t - i. What is o rounded to 6 decimal places?\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, z: 5, a: 5}. What is prob of sequence azk?\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -2*u**3 + 26*u**2 + 434*u - 168. What is w(-10)?\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 960 and 123129920.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 72948 + -4132?\nAnswer: 68816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -173 = -3*f - 23. Suppose -5*h = -d - 50, 5*h + 3*d - f = d. Suppose 14*w - 176 = h*w. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25267298 is divided by 3078?\nAnswer: 3074","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -488 by 2.\nAnswer: -244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -406, -811, -1216, -1621?\nAnswer: -2026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 2*p - 16 = 0. Suppose 0 = 3*l - 15, w + 4*l - 7 - 44 = 0. Calculate the remainder when w is divided by p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15 not equal to 115?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - (-4)\/1)\/1. What is the remainder when (-1)\/n + 45\/6 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6107 by 1905.\nAnswer: -6107\/1905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 825?\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - q + 84 = 0, -9*u + 5*u = -5*q - 300. Suppose 3*j - u = -j. What is the remainder when 83 is divided by 6\/15 + 412\/j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 3*p = -0*m + 2400, m - p = 472. Let f = m + -167. What are the prime factors of f?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1400678099 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 300 and 1860?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 3*m + 4. Let n(b) = 10*b - 12. Let y(u) = 9*u - 12. Let q(j) = 5*n(j) - 6*y(j). Let k be q(6). Let s be -6 - (-8)\/k*-3. What is f(s)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 PM and 11:25 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s. Let d(z) = 402*z**2. Calculate d(h(j)).\nAnswer: 1608*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-2))**(-2\/15)*(f*(f\/(f\/((f\/f**6)\/f)))\/f)\/(f*f**(-3)))\/((f\/(f*f\/((f*f**(1\/2))\/f)))**(-3\/8)\/(f\/(f\/f**(2\/3)))**(5\/6)) assuming f is positive.\nAnswer: f**(-2423\/720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -41604, -41608, -41614, -41622, -41632?\n\"Answer: -x**2 - x - 41602","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*s**2 + 68*s - 3*s**4 + 2*s**4 - 142*s - 5*s**3 + 69*s + 5*s**2 as y*s**4 + g*s**2 + a + t*s + q*s**3 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 2*g = -24. Let d be 4\/g + 35\/15. Suppose 6*b - d*b = 21. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 7*a - 643 = 3*a, -12 = 4*a. Let c = f + 136. Solve -3*n + 4*n + c = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -4*q - 4. Calculate the remainder when 52 is divided by q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of 29 + 1\/3*j**3 + 0*j**2 - 12*j. What are the prime factors of n(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 2 t, and 1 w when four letters picked without replacement from {z: 3, r: 2, w: 2, t: 3, o: 6}.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/(-15) + 29\/(-5). Let a(v) = -v**3 - 7*v**2 - 9*v - 2. What is the units digit of a(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6\/11, 1, 2\/3, 0.364, 2\/15 in ascending order.\nAnswer: -6\/11, 2\/15, 0.364, 2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 5*f + 2 = -12, 4*f = -8. Solve 0 = -2*p - 5*b + 4 - 0, -b - 4 = i*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 993354720 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-172*k + 43 - 43)*(-27 - 16 + 10).\nAnswer: 5676*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(75) + 5 + (sqrt(75) - 3*1*sqrt(75)))*5 - (4 + 2*(4 + 0 + sqrt(75))))**2.\nAnswer: -560*sqrt(3) + 3739","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-54)\/24)\/((1\/(-20))\/(6\/5)). Let l(c) = -16*c**3 + c**2 - 2*c - 1. Let x be l(-2). Calculate the highest common divisor of x and m.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80350 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4420 (base 7) in base 9?\nAnswer: -2147","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 26 + 90. What is the highest common divisor of 754 and v?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -127 - 1301 = -119*b. Suppose 18 = 4*g + 2. What is the second derivative of t + 0*t**4 - t + b*t**g - 13*t wrt t?\nAnswer: 144*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 4*o = -0*o - 16, 7*k - 4*k + 4*o = 16 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 16681586 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9235.\nAnswer: 5, 1847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 761241?\nAnswer: 3, 13, 131, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32 and 432.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3\/5, -3083 in descending order.\nAnswer: -3\/5, -5, -3083","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*u + 5*u + 4*u**4 + (-3*u**3 - u**3 + 5*u**3)*(-10*u + 23 - 23) to k + s*u + h*u**3 + t*u**4 + i*u**2 and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 + b**2 - 643*b + 1040. What is d(24)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 8, i: 1, t: 6, c: 2, d: 1}. What is prob of picking 1 t and 2 c?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -13146633 (base 8) in base 6?\nAnswer: -142533335","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 136 and 50626?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ionni. What is prob of picking 1 o and 2 n?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -59403*d**3*w**3 - 9*d**2*w - d*w**3 + 2900*w**3 + w**2 wrt d?\nAnswer: -356418*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2862116 and 964.\nAnswer: 964","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 12) in base 5?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of -j**6\/60 - j**5\/30 + j**4\/12 + j**3\/3 - j**2 + 4. Let l(x) be the second derivative of c(x). Determine p so that l(p) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -p**3 - 4*p**2 + 2*p - 12. Let d be h(-5). Suppose 2*j + 3 = d*b, 2*b = -2*b - 4*j + 24. Solve 20 = b*o - 8*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -23*(-52)\/(-3588)*2220\/(-10)?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 + -1. Let a = r - 3. Put a, 2, 0 in ascending order.\nAnswer: a, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80219 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (3 + 0 + -7 - -3)*-799?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25398 + 25405. Let c(r) be the second derivative of -17\/2*r**2 + 0 + t*r + 11\/3*r**3. What is the derivative of c(y) wrt y?\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -25.999824 - -26. Round m to five dps.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*c**3*l**3 + 78*c**3*l*s - 4*c**2*l**3*s - 3*c**2 + c*l**3*s wrt c?\nAnswer: -12*l**3 + 468*l*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -5910*l**2 + 11819*l**2 + 65*l + 66 - 5910*l**2 = 0.\nAnswer: -1, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5868, 22926, 51376, 91218, 142452, 205078?\nAnswer: 279096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 442 times 0.08111?\nAnswer: 35.85062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one quarter of a milligram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -61118*h + 61120*h + 3*h**2 + h**4 + 18*h**3 + 3*h**4 to the form v*h**2 + f*h**3 + o + t*h**4 + x*h and give v.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 840955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -33*p + 441. Let l(t) = 15*t - 220. What is 7*l(n) + 3*r(n)?\nAnswer: 6*n - 217","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of -c**6\/120 + 7*c**5\/60 - c**4\/8 - c**3 + 3*c**2. Let y be u(6). Solve -8 = -2*v, 2*q = 3*v - 0 - y for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1121 + 1221020?\nAnswer: 1222211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/27)\/((-61)\/(-366))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the third derivative of p**6\/540 + 4*p**5\/45 - p**4\/108 - 8*p**3\/9 - 4*p**2 - 1. Factor b(l).\nAnswer: 2*(l - 1)*(l + 1)*(l + 24)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*i**2 - i**2 - 179*i + 170*i + 15*i**3)*(i + 2*i - 16*i) in the form y*i**3 + r*i + h + b*i**2 + c*i**4 and give c.\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of -u**7\/210 + u**5\/120 - u**3 - 8. Let d(k) be the third derivative of y(k). What is the second derivative of d(b) wrt b?\nAnswer: -24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7550500 to the nearest one hundred thousand.\nAnswer: -7600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the third derivative of 0*y**3 + 0 - 1\/6*y**4 + y**2 + 0*y. Let r(a) be the second derivative of a**3\/6 - 116*a. Determine r(j(n)).\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5554?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 59908 and 136?\nAnswer: 119816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -5+260\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of b**5\/12 + 11*b**4\/12 + 4*b**3\/3 - 2*b**2 + 2. Factor m(y).\nAnswer: (y + 4)*(5*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -54175 + -22?\nAnswer: -54217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 125*p**3 - 3975*p**2 + 3120*p - 620.\nAnswer: 5*(p - 31)*(5*p - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 43879, 43873, 43865, 43855, 43843, 43829?\nAnswer: 43813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -a + 5*c + 4, -4*a + 3*c = -18. Suppose 5*g = a*j + 28, -g + j = -0*j - 6. Suppose 0 = l - 3 - g. Solve b + b = -l for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(25)\/(sqrt(10)\/sqrt(2)) + -1*sqrt(605))*-2)**2.\nAnswer: 32000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17621 and 13972927?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*o**3\/5 + 27*o**2\/5 - 6*o.\nAnswer: 3*o*(o - 1)*(o + 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*u + 16*u = 35 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 7, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 - 6*g**2 + 7*g + 10. Let b = 65 - -67. Suppose 3*q - 69 = -5*x + 57, -3*q + b = 3*x. Calculate the remainder when q is divided by a(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 79706, 159412, 239120, 318830, 398542?\n\"Answer: k**2 + 79703*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2*w**3 + w + 17. Let h be y(5). Let u = -163 + h. Is (-12)\/(-18) + u\/3 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x, 10 = 2*n - 4*x + 3*x. Solve 11 = -2*p + n*b, 5*p + 9*b = 4*b - 10 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**3 + 2*y**2 + 2*y + 4. Let r be m(2). What is the tens digit of ((-3)\/(-2))\/(r\/624)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**4\/9 + 14*t**3\/9 - 16*t**2\/9 - 56*t\/9 + 32\/3 = 0. What is t?\nAnswer: -2, 2, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by -188033.\nAnswer: -3\/188033","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1319809 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -120*y - 147. List the prime factors of a(-50).\nAnswer: 3, 1951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**2 - 400*m - 4080.\nAnswer: -5*(m + 12)*(m + 68)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/3167, -0.2, -239?\nAnswer: -239","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 + 69 = 5*n. Suppose 3*d - 44 = -d. Let l = 74 + d. Calculate the highest common divisor of l and n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - 2*v = 34, 49*g - 24*g = -2*v + 101 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**2 + 3*y - 2. What is k(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 62\/9 of a day in minutes?\nAnswer: 9920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1619 + 774. Let r = m + 845.381. What is r rounded to two dps?\nAnswer: 0.38","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 2*v + v = 840, -4*h = -4*v - 1080. Suppose -8*u + 1305 = 425. What is the highest common factor of h and u?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 48815 (base 14) to base 11.\nAnswer: 111154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r - 5. Let h = 8 + -1. Let f be n(h). Suppose f*p + 10744795 = -3855205. Round p to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 7*l**3 - 10*l**2 + 3*l - 285. Let x(i) = 6*i**3 - 11*i**2 + 4*i - 283. Let v(k) = 4*n(k) - 3*x(k). Differentiate v(j) wrt j.\nAnswer: 30*j**2 - 14*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of (-22)\/12 - -2 - (-2576800)\/192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 = -16*j - 183 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -784994 divided by -56071\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from jlgljjljggg.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -408029\/468 - -7844\/9. Suppose -3*f + 1 + 10 = 4*g, -29 = 4*g - 5*f. What is the common denominator of ((-6)\/(-132))\/(g\/59) and b?\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 12*d**2 + 243*d + 134. What is z(-20)?\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -9*d. Let b be ((-6)\/8)\/(53\/8 + -7). Let g(a) = -24*a**2 + 59*a**2 - 16*a**b - 22*a**2. What is q(g(n))?\nAnswer: 27*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 740, 1476, 2214, 2954, 3696?\nAnswer: 4440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.4 + 1. Let f = s + -0.63. Sort 2, -0.5, f in decreasing order.\nAnswer: 2, f, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = -2*a - 3 + 5 + 4, 3*p = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 59482247 to the power of 1\/3, to the nearest integer?\nAnswer: 390","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**2 + m**2 + 6*m**2)*(287*m - 11 - 147*m - 136*m).\nAnswer: 24*m**3 - 66*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2759\/267)\/(1\/27). Let o = n + -275. Let g(d) = 6*d + 0*d**2 - 15*d + d**2. Determine g(o).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.5, -12, 0.5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -47\/21 - -4\/7. Let z = 18 + -18.4. What is the third biggest value in 2, h, z?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5283, -21300, -48045, -85524, -133743, -192708, -262425, -342900?\nAnswer: -434139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -7 + 350\/49 - (-18)\/(-28). Which is the smallest value? (a) 3 (b) x (c) -26 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 13 + 3. Solve 3*j + t*p - 1 = 0, 3*j - 3*p + 15 = -0*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 4*o = -45, -1164*o + 9 = 2*s - 1163*o for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -40329 - -67573. Is 13 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 + -20 + -5 + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from txmxxomotttxxxjo. Give prob of picking 1 j and 1 o.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q + 5*q + 3*q**3 + 9*q**3 + (3 - 3 - q)*(4*q**2 - 13*q + 13*q) + 3*q**3 - 3*q**3 + 9*q**3.\nAnswer: 17*q**3 + 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 6*g - 9. Suppose -3*j = -6 - 6. Let o(x) = -5*x + 8. Let y(k) = j*t(k) + 5*o(k). Calculate the remainder when 39 is divided by y(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 244 + -244.171. Which is smaller: -0.2 or s?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**2 - 2899*o - 2892*o + 5791*o.\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j - 13. Let k be h(-9). Let v be k\/6 + (-32)\/(-12). Suppose -v*x - 6 = -3*a, -a + 5 - 3 = 0. Solve -5*w + 2 + 8 = x for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.056 * 13.\nAnswer: 0.728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 67299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g + 5*h + 104, -2*g - h + 22 = -30. Let f be g\/39 + (-8)\/(-6). Solve s + 2*q = -2*s + 22, 0 = 3*s - f*q - 2 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170.465 centuries in millennia?\nAnswer: 17.0465","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**3 - 13*r**2 + 13*r - 12. Determine q(-14).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 3*x - 3*w - 628 = 0, -108 = -x + 5*w. What is the greatest common factor of 24 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 + 15*u + 14. Let f be m(-14). Solve 3*b + g + 1 = f, 5*b - 4*b - 2*g - 2 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3 - 18*r**2 + 72*r + 648.\nAnswer: -2*(r - 6)*(r + 6)*(r + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 - 20*k**2 - 16*k + 48. Calculate n(-19).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2*w**3 + 2*w - 2. Let c(o) = 21*o**3 - 6*o**2 + 12*o + 210. Let h(l) = c(l) - 6*y(l). What is the derivative of h(x) wrt x?\nAnswer: 27*x**2 - 12*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5740 and 6.\nAnswer: 17220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of -26*k**5\/5 + 37*k**2\/2 + 31. What is the second derivative of d(g) wrt g?\nAnswer: -312*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + 1000010101011011100111001?\nAnswer: 1000010101011011100111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4241865 to the power of 1\/3, to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -4 (b) -3 (c) 5 (d) 11\/316\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 44*m**2 + 5*m - 17. Let j be g(-5). Suppose -5*n - j = -2943. What is the hundreds digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**2 - 11*s - 3. Let d(t) = -t**2 - 12*t - 4. Let h(i) = 5*d(i) - 6*r(i). Determine h(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-4)*2\/6*-2.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 2*u. Let n(r) = -r**2 - 2*r**2 - 4*r + 4 + 0*r**2. Let b(z) = 9*z**2 + 11*z - 11. Let l(a) = 4*b(a) + 11*n(a). Determine l(v(w)).\nAnswer: 12*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1072950 divided by -25\nAnswer: 42918","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1849 or -2\/3?\nAnswer: -1849","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -55\/14 + 24\/7. Let g = 3533 - 109521\/31. Which is the closest to k? (a) g (b) 3 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -137*b + 1784. Let w be f(13). Solve 2*h + j + 4 = 0, -3*h - j = 1 + w for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 3471525087 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/132 and -79\/17592.\nAnswer: 193512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j**3 + j**2 - 2*j + 4. Let w be q(4). Suppose 4*d = -32 + w. List the prime factors of d\/(-6)*(-2)\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in five sixths of a day?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 67*b**5 - 120 + b**2 + 1073 + 371 - 35 - 2*b**3 wrt b.\nAnswer: 4020*b**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 226307755 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -7*g**3 - 8. Let x(f) = 1. Let n(r) = r**3 + 24*r**2 + 39*r - 105. Let d be n(-22). What is d*x(t) + h(t)?\nAnswer: -7*t**3 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/711 and 44\/3.\nAnswer: 711","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 2:12 AM?\nAnswer: 9:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the third derivative of -37*q**6\/10 + q**4\/12 + 233*q**3\/2 + 904*q**2. Find the first derivative of m(f) wrt f.\nAnswer: -1332*f**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ssss when four letters picked without replacement from {s: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-5\/6)\/(d*d**6*d) assuming d is positive.\nAnswer: d**(-53\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 643658 is divided by 175.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 732 is divided by 137?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -15*f**3 + 9*f**2 + 13*f - 11. Let x = 242 + -244. Let t(n) = -75*n**3 + 45*n**2 + 64*n - 56. Let z(w) = x*t(w) + 11*p(w). Factor z(j).\nAnswer: -3*(j - 1)*(j + 1)*(5*j - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cq when two letters picked without replacement from cycyyqcyqyy?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Let k = 602 + -600. Solve 8 = -4*b, k*d - 5*b - 6 = -2*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 + 20 = 16*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2\/11 + 4810*h\/11.\nAnswer: -2*h*(h - 2405)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 298841 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of 2027*n**7\/210 - 547*n**4\/8 - 4*n**2 - 94*n. What is the second derivative of p(q) wrt q?\nAnswer: 24324*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1980680\/63 + -31440. Let t = k + 4\/63. What is the second smallest value in -1\/5, 3, t?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 73\/4 of a microgram?\nAnswer: 18250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -111392089.2 rounded to the nearest one hundred thousand?\nAnswer: -111400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1240 (base 5) to base 10\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - s - 1 = 0, -4*h - 54*s + 76 = -55*s + 29*s for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - 0) + (-21 - -27) + -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + 18792?\nAnswer: 18793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 5 (b) 5\/4 (c) 0.1 (d) 4\/5 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 98920?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13296 - 4645. What is the remainder when u is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 752 and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -44\/27 and 6 + 104\/(-60) - 0?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3013 is divided by 808?\nAnswer: 589","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 - 234649.\nAnswer: -234643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**13)\/(l*l**9))\/(l**(6\/5)*l*l**3))**14 assuming l is positive.\nAnswer: l**(-84\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 4 - 9) + -2\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 3636?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)\/(sqrt(7)*1) - sqrt(12)\/sqrt(2)*2)\/(sqrt(8)\/sqrt(64) - (sqrt(22)*-1)\/sqrt(11)).\nAnswer: -4*sqrt(3)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1773 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3276 (base 8) to base 6.\nAnswer: 11554","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24765142*i**3 + 142*i**2 + 81861*i wrt i.\nAnswer: -148590852","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 66 and 4041.\nAnswer: 88902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 51928 - 25393. Suppose -2*g = -f - g - 13266, 2*f = g - x. Let s = -19339 - f. What is s rounded to the nearest 100?\nAnswer: -6100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 848 and 6500821.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2816 + 114.\nAnswer: 2930","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*j + j - 3*c - 5, -4*c = 4. Suppose 2*s - 7 - 21 = 0. What is the greatest common factor of j and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 - 5) + 8 + (-7 - 3) + 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6609 - -6614. Let a(u) be the first derivative of 0*u**p - 8\/3*u**6 + 0*u**3 + 0*u**4 - 14 + 0*u - 9*u**2. Find the second derivative of a(z) wrt z.\nAnswer: -320*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1c8 (base 13) to base 8.\nAnswer: -515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4014075 divided by 13425\nAnswer: -299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of -7\/20*m**5 + 0*m**3 + 0 + 0*m**4 - 14*m - 3\/2*m**2. Differentiate o(z) wrt z.\nAnswer: -21*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a day in seconds?\nAnswer: 10368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 280148 and 18986.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, 0, 5, 37\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -22290*0.428\nAnswer: -9540.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5969990?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + m - 3*m)*(2*m**2 + m**2 - 5*m**2 + (3*m + 2*m - 2*m)*(-8*m - 34 + 34)).\nAnswer: 52*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21779.\nAnswer: 29, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 7242 = -7230 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*l - l - 9 - 9 - 18*l.\nAnswer: -27*l - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1331 is divided by 97.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1690, -14043, -46952, -110695, -215550?\n\"Answer: -1713*d**3 - 362*d + 385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -66*q + 48*q. Let o(t) = t**3 - t**2 - 2*t + 3. Determine o(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1517330 and 1720?\nAnswer: 260980760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 60 and 588?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 + 4 - -5) + 202 + -218.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of 8.12 and -7.39.\nAnswer: 0.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 6) + -8*(-12)\/51?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 307905149*r + 164007703 with respect to r.\nAnswer: 307905149","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 - 74 + 5*b - 5 + 11 - 58 as w + r*b and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -1. Let n be 26\/6 + p\/(-3). Let w = n + 1. What is the greatest common factor of 66 and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, i: 2}. What is prob of picking 2 h?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2485.8093ns in minutes?\nAnswer: 0.000000041430155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 165\/((10\/4)\/(2754\/(-1836))).\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -325.98552 to 0 dps.\nAnswer: -326","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m**3 + 7*m + 31*m**2 - 33*m**2 + 8748*m**4 - 8721*m**4 to the form u + x*m**4 + z*m**3 + y*m + k*m**2 and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 41 or 44?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*z - 66 = -108*z. Solve 6*s - z = 12 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 - 3*v**2 - 7*v - 4. Let u be q(-2). Let c be -4*(-14)\/20*15\/u. Solve o - c = -2 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 641012.3 nanometers?\nAnswer: 0.0000006410123","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4 - 110\/(-27))\/((-3)\/207). Is x <= -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/41 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 2720*g**2 - 9*g + 10. Is o(1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 773062095 and 390.\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.06 - 0.04. Let u = z + -0.2. Which is the third smallest value? (a) 2\/7 (b) -2\/15 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2470.24t to milligrams.\nAnswer: 2470240000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-168)\/60)\/((-2)\/8*(-20)\/25)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (10\/1)\/(0 - 2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.069 - -142.069. Let u = v - 142.000083. Round u to 5 decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ovokihoookk. What is prob of picking 2 k and 2 o?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*b - 23*b - 3 + 101*b**2 + 43*b - 5.\nAnswer: 101*b**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1403*p + 281*p - 16*p + 757*p to the form w*p + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1363\/40 - -685\/24. Calculate the common denominator of a and 49\/654.\nAnswer: 3270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/4*1*(-1)\/5\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(-2)*((-10592)\/84 + ((-443)\/(-21) - 21)).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**5*k)\/(k**(1\/9)*k))**14\/(((k*k**(-1\/10))\/k*((k*k\/k**3)\/k)\/k)\/k**(2\/5)) assuming k is positive.\nAnswer: k**(1547\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -172189631, -344379263, -516568895?\n\"Answer: -172189632*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the second derivative of -2*q**3\/3 + 6*q + 16. Let a(m) = -25*m**2 + 4*m. Calculate a(n(j)).\nAnswer: -400*j**2 - 16*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z**4\/8 + 255*z**3 - 3096*z**2 + 12432*z - 16608 = 0. What is z?\nAnswer: -692, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/3, 5, 5766?\nAnswer: 5766","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 526 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -330310033 + 130?\nAnswer: -330303303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3266, 3253, 3224, 3173, 3094, 2981, 2828, 2629?\n\"Answer: -w**3 - 2*w**2 + 3269","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 1014*k**2 - 104*k. Let l(a) = 1447*a**2 + 3*a - 1476*a**2 + 0*a. Give 104*l(b) + 3*x(b).\nAnswer: 26*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 - 15*y**2 + 8*y + 7. What is the tens digit of b(15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2719670?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2002201002101 + -122?\nAnswer: -2002201010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2\/3 - (-7)\/21. Suppose 0 = w + 1 + f. Sort 0, w, 3.\nAnswer: w, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 595.\nAnswer: 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, w: 7}. Give prob of sequence bw.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 50360 and 320.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 45 - 42.6. Let w = -7 + a. Round w to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2493290 + -0.3?\nAnswer: 2493289.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 - -3?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of x**4\/24 + 145*x**3\/6 - x**2. Is c(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4255328 and 1245167.\nAnswer: 12089","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, 82, 170?\nAnswer: 258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 3 = -3. Suppose 5*p = 2*p - s. Suppose -4*g - 2*u + 7 = -3*g, 0 = -2*g - u + 14. Put g, 1, p in descending order.\nAnswer: g, 1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of -11*q**4\/2 + 19*q**3\/6 + 44*q**2. Is a(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18958 is divided by 3738?\nAnswer: 268","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 520?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/(-8))\/((-2)\/248). Let c = t + -91. Let u = 71 + c. Solve -2*a - 21 = -3*m - 0*a, -3*a = 4*m - u for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -9883.38 and -1663.923.\nAnswer: -11547.303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -39, -4, 1, 148, -3 in descending order.\nAnswer: 148, 1, -3, -4, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*g**4 + 43227*g**3 - 5142*g + 915072807 wrt g.\nAnswer: -8*g**3 + 129681*g**2 - 5142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 88682689 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*y - 1802 + 332 = 0. Calculate the greatest common divisor of 1428 and y.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*u = -11*u - 12. Suppose 3*c = 2*k + 390 + 46, u*c = 4*k + 584. Let d = -94 + c. Does 8 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -477376 + 1386159. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2923870 is divided by 82.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, u: 1, b: 1, s: 1, i: 1}. What is prob of sequence ru?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15309, -29842, -44375, -58908?\nAnswer: -73441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7770 to the power of 1\/2, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*v + 3020 - 1400 = 0. Suppose -4*w - w = -70. Calculate the remainder when v is divided by w + (-2 - -2)\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = 4*c + 24*a - 20*a, -4*c - a + 57 = 0 for c.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(720) + 1)**2.\nAnswer: -721 - 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -f*v**2*z - 27*f - 15*v**3*z - v**3 - 4*v*z wrt z?\nAnswer: -f*v**2 - 15*v**3 - 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.1 (b) 2\/5 (c) -0.4 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(612) - sqrt(612))**2 - (3 + -1 + sqrt(17)).\nAnswer: -sqrt(17) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 14) to base 9\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-2918)\/(-4)*-1*(-2 - 0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21 - -31. Let x be y\/(-20) - (-81)\/2. Let z be (2 + (-1)\/2)\/(9\/60). What is the highest common divisor of z and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 12:56 PM?\nAnswer: 8:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zwjaaooaawwawwwaw. Give prob of picking 1 j and 2 a.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z and 1 p when four letters picked without replacement from zzztzpzzpz?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of -7*d**3\/6 + d. Let x(n) = 2*n + 5*n - 5*n. Give x(k(a)).\nAnswer: -14*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1a2 + 8ee2?\nAnswer: 9084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -10606 plus 4?\nAnswer: -10602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 881640 divided by 58776.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-1\/18))\/(t\/(((t**(1\/4)\/t)\/t)\/t)) assuming t is positive.\nAnswer: t**(-101\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 4 = -8. Suppose -2*h = 4*n - 28, -4*h - h - 5*n + 50 = 0. Suppose x = -3*q - h. Sort q, 5, 4 in ascending order.\nAnswer: q, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*h**2 + 2*h**2 + h**2 + (h - h + h**2)*(3 - 2 + 1) - 2*h + 2*h + 2*h**2 - 3 - h**2 + 3.\nAnswer: 11*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12 - (-22 - -31)) + (-2 - -10) + 14.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 2*j**2 - 1. Let a(t) be the third derivative of -t**5\/60 + t**3\/6 + t**2. Let l(q) = -3*a(q) + f(q). Find the first derivative of l(i) wrt i.\nAnswer: 10*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 2438?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5679*f = 2247*f - 17160 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 729549680 a multiple of 310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of 0 + 176*d**2 + 0*d - 32\/15*d**3 - 1\/150*d**5 + 3\/10*d**4. Suppose h(q) = 0. Calculate q.\nAnswer: 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 203027263 divided by 47.\nAnswer: 4319729","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 1\/370, 0.044?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/3 (b) 3\/8 (c) 21 (d) 1 (e) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3134519 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z + 4*m - 48, -m = -3*z - 14 + 34. Suppose 0 = -3*f + z - 2. Is 63\/f - 8\/16 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3223489781 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.21358 rounded to 3 dps?\nAnswer: 0.214","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.99 - 3. Let x = h + -0.16. Let p = 0.1699993 + x. Round p to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12 - 1) + (-22 - (-10 - 7)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 67471 and 545?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 + 11*r - 5. Let l be h(5). Suppose l = -3*m - 2*m. Does 8 divide (-8)\/m*(-1 + 11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -60*l**4 + 158*l**4 + 122*l + 1354*l**4 + 828*l**4 - 44*l**4 - 6 wrt l.\nAnswer: 26832*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10221320012 + 20201?\nAnswer: 10222000213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.2? (a) -5 (b) 2\/613 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-61)\/(-7) - (-4)\/14. Let x = i - 6. Suppose 0 = -4*v - x*m + 31, -4*v + 0*m - 4*m + 32 = 0. What are the prime factors of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 4*t - 5 = 0, 2*b = -4*t - 741 + 751 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(6\/2)*(-102)\/(-34).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*k - 64*k + 15221591 = 0. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9371737 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(80))**2 + (sqrt(180)*1)**2 + 0.\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**3 - 9404*n**2 + 5714940*n - 218780100.\nAnswer: 4*(n - 1155)**2*(n - 41)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2471 = -6*m. Let p = m - -499. List the prime factors of p.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 6 = -26. Let t = 48 + o. Calculate the greatest common factor of 26 and t.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the second derivative of 0 + 0*f**4 + 11*f + 0*f**5 + 2*f**3 + 0*f**2 - 19\/42*f**7 + 0*f**6. Find the second derivative of r(j) wrt j.\nAnswer: -380*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1113 and 9708275.\nAnswer: 203873775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 0*o + o = 20, 4*x + 5*o = 37. Suppose -8*n + 21 = 61. Put x, -2, n, 5 in decreasing order.\nAnswer: 5, x, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*a + 46 + 173 = 29 for a.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-9)\/6)\/(1\/(-2)). Suppose -15 = -4*v - l. Let x(w) = -w**2. Let z(a) = -a**2. Let s(k) = v*x(k) - 5*z(k). Let d(u) = 20*u. Determine d(s(y)).\nAnswer: 40*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 16 = 2*q, 3*d - 4*q - 40 = -2*q. Let j = 6 + 3. Suppose -n + 9 = -j. What is the highest common factor of n and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**2 - 1 - 7*n**3 - 32*n**3 - 2*n**2 + n. Is p(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l = 11*l - 32*l - 441 for l.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 28, -1, -23, -7?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 51 - -8b?\nAnswer: 10c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 428?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1448249199 is divided by 2274?\nAnswer: 2271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 74.612 centimeters in millimeters?\nAnswer: 746.12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -20913611 divided by -721159\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -353368 (base 10) to base 9\nAnswer: -587651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(-10) - (-84)\/15. Let v = 6 - g. Let w = -12 - -10. Put w, -1, v in descending order.\nAnswer: v, -1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 19\/4 of a kilogram?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1364244 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 - 4*h**2 - 24*h - 5. Determine t(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 2*a - 627. Let m(g) = -2*g + 638. Give -3*m(k) - 4*p(k).\nAnswer: -2*k + 594","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1640, 1036, 422, -208, -860, -1540, -2254, -3008?\n\"Answer: -n**3 + n**2 - 600*n + 2240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 0.11436, 3348?\nAnswer: 0.11436","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3616.\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33) - sqrt(66)\/(sqrt(2)*-3))\/(sqrt(825)\/sqrt(11) + sqrt(3)).\nAnswer: 2*sqrt(11)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3288 and 672.\nAnswer: 92064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 3*q**2 + 22*q - 22. Suppose 0 = 4*s - 20, -2*s + 9 = -4*f - 33. Let a be r(f). Is a smaller than 0.55?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 22 + 1087*t**2 + 9 - 1 - 1086*t**2 + 7.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.96 - 2. Let d = u + -0.06. Let k = 4.8 - -0.2. Put -0.4, d, k in descending order.\nAnswer: k, d, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wg when two letters picked without replacement from {w: 1, a: 1, u: 2, z: 1, n: 2, g: 1}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**3 - o**2 - 1. Let t(l) = 6*l**3 - 9*l**2 + 5. Suppose 3*d - 5 = 4*d. Let n(b) = d*z(b) - t(b). Find the third derivative of n(a) wrt a.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 + 0*h - 2 + h)*(-18*h**2 - 10*h**2 + 4*h**2) - 2*h**3 - h**3 + 2*h**3)*(4 - 4 + 7*h) to the form a*h**4 + j + d*h + q*h**3 + c*h**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5266625 and 4095?\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 3 + 4)*(0 + 2 + 0)*(-68*m - 82 - 46*m + 85).\nAnswer: 456*m - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v + 18. Let x be a(-6). Let u be ((-72)\/(-2))\/(6\/x). Calculate the highest common factor of u and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 23751.46 litres?\nAnswer: 23751460","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -5982, -2, -21 in descending order.\nAnswer: 6, -2, -21, -5982","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3776?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0\/1 + 0)\/(-2). Suppose -5*c + 25 = -10*c. What is the nearest to -0.1 in 0.5, k, c?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84297990551 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 5373104 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5782407?\nAnswer: 3, 23, 181, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -6. Let c(k) = k**2 - 2*k. Let i(q) = 3*q - 1. Let z(h) = r*i(h) - 3*c(h). Find the first derivative of z(g) wrt g.\nAnswer: -6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/333 and 97\/36.\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3*2\/(6*15\/(-6)))\/((-620)\/100).\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1793986629976 take away -10?\nAnswer: 1793986629986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5290*c**2*w**3 + 5*c**2*w - 3*c*w**3 + 114310*c*w**2 wrt w.\nAnswer: -31740*c**2 - 18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 108974109581 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -36*u**4 - 57*u**2 + 17. Let s(q) = -12*q**4 - 19*q**2 + 6. Let c(v) = -6*f(v) + 17*s(v). Find the third derivative of c(b) wrt b.\nAnswer: 288*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 1339954?\nAnswer: 1339945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -169\/2394 and -19\/42.\nAnswer: 2394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -7. List the prime factors of 0 - (-3 + 11)\/b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 175*y + 69057892 - 174238142. What is y rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 8:52 AM?\nAnswer: 10:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 21*y - 626. Let a be q(-41). Which is smaller: -1488 or a?\nAnswer: -1488","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3544 is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 6) to base 4.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -5475093.7 to the nearest 10000.\nAnswer: -5480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2294580\/(-56780) + 20\/(-34)?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k + 4*u + 16, 4*k + u = 6*k - 39. Let z be (-2)\/(-2) + -3 - -6. What is the smallest common multiple of (-1)\/(-2) - (-86)\/z and k?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 8 = 4. Suppose 11*s = -p*s - 2941000. What is s rounded to the nearest ten thousand?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -182 by 26.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -19*i - 70. Let k be l(-4). Let f be 10\/k + 333\/(-54) + 5. Which is the second smallest value? (a) f (b) 4 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156*f + 144*f + 41280 = 0. List the prime factors of f.\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1737, -1850, -2159, -2766, -3773, -5282, -7395, -10214?\n\"Answer: -17*w**3 + 4*w**2 - 6*w - 1718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 AM and 11:12 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 153, 10, -21 in ascending order.\nAnswer: -21, 10, 153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 224905?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the first derivative of 3*n**2 + n - 160\/3*n**3 - 264. What is the second derivative of f(j) wrt j?\nAnswer: -320","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 67625434?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/11 in 0.2, -18, -2\/13, 0.4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + 7 + 2. Put 5, -2, 4, p in ascending order.\nAnswer: p, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*s**4 - 670*s**3 - 3445*s**2 - 4170*s.\nAnswer: 5*s*(s - 139)*(s + 2)*(s + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixteenth of a millennium?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 1319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21040, 83892, 188648, 335308, 523872, 754340, 1026712?\nAnswer: 1340988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**2 + 4*y - 15. Let g = -114 + 109. Let a(i) = -i**2 + 2*i - 8. Determine g*a(m) + 3*o(m).\nAnswer: 2*m**2 + 2*m - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 4. Let t(a) = d + 3 - 4 - 19*a. Let x be t(-1). Solve m - 6*m = x for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m - 2*m + 162*m**3.\nAnswer: 162*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -45 divided by 5\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -7. Determine m, given that -7*m + 6*m - m**4 - 11*m**s - 3*m**4 + 1 - 2*m**2 - 7*m**2 = 0.\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -29985? (a) -31 (b) -8 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1543051424 + -32?\nAnswer: 1543051352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -4163\/465 less than -10?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*c + 3*c + 2*c)*(-305 - 9*c**3 + 305) to i*c**3 + v + z*c + r*c**4 + g*c**2 and give r.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -2*g. Let p(m) = -87*m - 7*m**2 + 225*m + 4 - 2 + 0*m**2 + 19*m. Give t(p(v)).\nAnswer: 14*v**2 - 314*v - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*w + 5*w - 62766 = 0. What are the prime factors of w?\nAnswer: 2, 3, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.78, -0.4, 0.04 in descending order.\nAnswer: 0.04, -0.4, -0.78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1485052 a multiple of 146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (78\/(-28) - (-1078)\/3773)*(-24)\/(-20)*1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 304 = 4*y + 2*h + 2*h, 3*y + h - 236 = 0. Suppose -2*z = -0*z + y. Let f = z - -88. Is 12 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -10 + (34 - 27)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*k = -30*k - 1298. Let l be (k\/295)\/((12\/(-10))\/(-2)). Suppose 4*u - 2 = 2. Which is the second smallest value? (a) 0.5 (b) l (c) -3 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**2 + 2*t + 2. Let j be n(3). Let l(g) = -g + 1. Let s be l(j). Find the first derivative of -2*z**3 + s + 5 - 3 - 5 wrt z.\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1221064949 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 956, -10, 3, -3, 5 in decreasing order.\nAnswer: 956, 9, 5, 3, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 220 = 12*k + 10*k. Suppose 22*w = k*w. Find the third derivative of 562*f**3 - 562*f**3 + f**6 + 49*f**2 + w*f**6 wrt f.\nAnswer: 120*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 30*g - 133*g - 8 + 111 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*p**5 - 4*p**5 - 4*p**5 + (2*p - 2*p**3 - 2*p)*((-3*p + 4*p - 2*p)*(2 + 0 + 0) + 9*p + 5*p - 9*p)*(-534 + 49*p + 534).\nAnswer: -296*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 - 102406*b - 3378317. What is t(-33)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v**2 + 33*v + 12. Determine x(-22).\nAnswer: 254","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -138219, -138268, -138317, -138366?\n\"Answer: -49*j - 138170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of 6 + v**2 + 3\/2*v**3 + 0*v + 1\/60*v**5 - 3\/8*v**4. Let q(z) be the second derivative of t(z). Determine q(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16340763623 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 96714671?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-62 - -24) + (-11 - -23).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + -65 + (52 - 22).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 67 - 471\/7. Let x(l) = l**3 - 7*l**2 - l + 8. Suppose 5*s - 2*s = 21. Let u be x(s). Which is the nearest to u? (a) r (b) 0.1 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 6 = g, 5*g - 4*i + 31 = -15. Let t(b) = b + 2. Determine t(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9dad28 (base 14) to base 12.\nAnswer: 196b674","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(-4) - 42\/(-8). Let i(k) = -k**3 + 4*k**2 + 5*k. Let q = 13 + -8. Let x be i(q). Solve x = d - 3 + l for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 44*i**2. Let t(h) = 10*h. What is t(c(x))?\nAnswer: 440*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -149 - -34086?\nAnswer: 33937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(-2) + 42\/(-28). Suppose -4*u - 22 + 98 = q. What is the units digit of 6\/7*1463\/u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that 88*g**4 - 36*g**3 - 224*g**2 - 108*g - 8 = 0.\nAnswer: -1, -1\/2, -1\/11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 177 a factor of 177?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 + 590*k + 41664. Determine r(-508).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - 114?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -15 + (-11)\/((-121)\/143)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 14, -143, -404, -769, -1238, -1811?\n\"Answer: -52*u**2 - u + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*w + 32 - 392. Suppose 5*y = -4*y - w. Do y and -5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23+-9.7\nAnswer: 13.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 1 = 13. Let w = -3 + 3. Find the second derivative of -5*x + 0*x**3 + 2*x - x**4 + w*x**u wrt x.\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 3*d**2 + 6*d**2 - 73*d**3 + 0*d - 2 + 3*d + 39*d**3 + 35*d**3. Give h(-8).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/7 (b) 3447\/4 (c) 1 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*h - 9*h + 10 + 23*h to the form i + q*h and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 6100*f**3\/3 + 11856*f**2 + 16236*f - 3096 = 0. What is f?\nAnswer: -3, 258\/1525","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/21*(-45)\/(-120). Put o, -0.1, 329 in descending order.\nAnswer: 329, o, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - -3. Let a = o - 9. Let l(v) = -2*v - 1. Let i(q) be the first derivative of q**2 + 6. Determine a*i(k) - 2*l(k).\nAnswer: -2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 AM and 3:47 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -4000 - 2\/5*h**4 + 3840*h - 4208\/5*h**2 - 192\/5*h**3 = 0.\nAnswer: -50, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30289382 a multiple of 1536?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m*m**0*m*m)**(2\/67)\/((m*m**(5\/2))\/((m\/m**(-1)*m)\/m)) assuming m is positive.\nAnswer: m**(-181\/134)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2089, -2067, -2037, -2005, -1977?\n\"Answer: -f**3 + 10*f**2 - f - 2097","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of m**7\/105 - m**6\/25 + 3*m**5\/50 - m**4\/30 + 21*m. Factor w(q).\nAnswer: 2*q**2*(q - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -3*g**3 + 27*g**2 + 27. Let q(f) be the second derivative of -f**4\/12 - f**2\/2 + f + 79. Give 54*q(d) + 2*u(d).\nAnswer: -6*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1150488336.\nAnswer: 2, 3, 23, 1042109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (106 - -12) + -392 + 275\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93.27639 millilitres to litres.\nAnswer: 0.09327639","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 116620338?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1310244322?\nAnswer: 2, 655122161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(81)\/sqrt(3)*-3 + (sqrt(243)*1)\/sqrt(9))\/(sqrt(54)\/(sqrt(6) + (-1*sqrt(60) + sqrt(60))\/sqrt(10) + sqrt(6))).\nAnswer: -4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 1\/36641804?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 2*m - 17, 0*m = 5*w + 2*m + 27. Which is the nearest to 1? (a) -0.05 (b) -0.3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 466248 and 1296.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11594681 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1256 times -0.57\nAnswer: -715.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -5534.5465 rounded to the nearest integer?\nAnswer: -5535","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/141477 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 280205 divided by -3\nAnswer: -280205\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 + 3.5. Suppose 14 = -2*k - 16. Let o be ((-1)\/5)\/(12\/k). What is the second biggest value in n, o, -5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 410 and 1130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/((-1)\/3) - -11. Let y = h + -11. Is -2 greater than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1731771, 6927089, 15585951, 27708357, 43294307, 62343801, 84856839?\nAnswer: 110833421","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -77 + 50 + -6 - -3?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.91936ml in litres?\nAnswer: 0.00891936","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 929527 or 929526?\nAnswer: 929527","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2255879 and 1145.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 + 10*k**2 - 9*k + 16. Let l be x(-11). Let a be ((-15)\/l)\/(2\/4). Let b = -4 - -28. Solve 5*f = j + b, 3*f + a*j = -2 + 22 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 + 3*t + 3. Let n(j) be the second derivative of -j**3\/6 - 8*j**2 + 3*j - 2. Let i be n(-14). What is h(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11785371?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**4\/4 + 35*k**3\/2 - 1357*k**2\/4 + 1155*k - 1089 = 0 for k.\nAnswer: 2, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-10)\/(-3))\/(-3*8\/36). Suppose -3*j + 0*j = 0. Let w = 1 - j. Sort w, s, 2 in descending order.\nAnswer: 2, w, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -485*r + 13 = -489*r - 3*x, -11*x = -2*x + 27 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -0.2 (c) -0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -8872185, -8872237, -8872289?\n\"Answer: -52*o - 8872133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 31217411?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 121796337 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7560)\/3591)\/(2\/(-38)).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -u**2\/4 - 18823*u\/2 + 112974 = 0. What is u?\nAnswer: -37658, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of 3\/40*p**5 + 0 + 0*p**3 + 0*p - 9\/32*p**4 - 1\/160*p**6 + 7*p**2. Factor c(n).\nAnswer: -3*n*(n - 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.75403 rounded to one decimal place?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 942869, 942830, 942791, 942752, 942713?\n\"Answer: -39*v + 942908","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -89 + 48*d**3 - 33*d**3 + 9*d**4 + 2*d + 62 + 291 wrt d.\nAnswer: 36*d**3 + 45*d**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pccggggnchgn. What is prob of picking 1 c and 1 g?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 274 in 1, 2\/3, -341, 0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, 28 in increasing order.\nAnswer: -5, -2, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 204569?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4035340, -4035337, -4035334, -4035331, -4035328, -4035325?\n\"Answer: 3*b - 4035343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6500 divided by 6?\nAnswer: 3250\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of -7*j**4\/12 - j**3\/6 + j**2\/2 + j. Suppose -3*o + 8*o = 0. Suppose -1 = -2*g + w, o*w = -3*w + 3. Determine q(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21652756 a multiple of 164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-12)\/(-104))\/(15\/508) - -3. Let s = n - 56309\/7540. Find the common denominator of 55\/18 and s.\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 4*v + 6 - 18 = 0, 5*o + 5*v - 45 = 0. Suppose 3*z = o*c - 423 - 2497, -4*z = c - 749. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 7097*x - 1. Let t(w) = -3311*w. Calculate g(t(q)).\nAnswer: -23498167*q - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 + 2*j + 3. Let i be v(-3). Let x be (-8 + 1206\/153)*-17. Suppose -x*w = -1204 + 1144. What is the highest common divisor of w and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 + 34*w**2 + 4*w - 8. Let g be r(-34). Let h = -139 - g. Suppose -6*t = -2*t. Solve h*q - 6 = 4*p, t = 2*p + 8 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s**4 - 166145*s**3 + 3487030*s**2 - 6309520*s = 0. Calculate s.\nAnswer: 0, 2, 19, 33208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 25, 279, 785, 1543, 2553, 3815?\n\"Answer: 126*t**2 - 124*t + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -61*s**2 - 3*s - 5. Let r be b(-5). Let d = -1058 - r. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1 + 0.2. Let o = 8 + -7.6. Which is the nearest to 0.1? (a) y (b) o (c) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/30148305 and 53\/1869.\nAnswer: 211038135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -5733060.14 rounded to the nearest 100000?\nAnswer: -5700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 32 - 23 = 0. Is 19 smaller than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -304 + 396. Let o(t) = u*t + 3 - 48*t - 43*t. Let b(p) = -1. Determine -6*b(d) - o(d).\nAnswer: -d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2859324?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5795 divided by 31947.\nAnswer: -5795\/31947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9214 + -1367?\nAnswer: -a580","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 37\/6 - (-65)\/(-390).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -22548*k*s**3 - 14076545*k*s**2 - 32*s**5 - 2*s**4 wrt s?\nAnswer: -135288*k - 1920*s**2 - 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - 415\/10*(-8)\/30?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**2 + 13*b - 8. Let l(i) = -i**2 + 12*i - 8. Let z(p) = -6*l(p) + 5*m(p). List the prime factors of z(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10.56 - -1.84. Let f = o - 13.4. Let u = 109\/1212 - 2\/303. Which is greater: f or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -73*t**3 + 204*t**2 - 283*t + 82. Calculate s(1).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 522827 != 522828?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3\/5 + 2427*t**2\/5 + 296208*t + 2049740.\nAnswer: (t + 7)*(t + 1210)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131336085?\nAnswer: 3, 5, 271, 32309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 2, -4, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 15) in base 16?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 19008214 to the nearest integer?\nAnswer: 4360","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*s + 3*o - 1496 = -44*s, 4*o = -4*s + 6016. Does 52 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3847)\/(-528) - (-4)\/(-22). Let x = -43\/6 + y. Is x < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 14*f - 840. Is 75 a factor of 1 - 90\/f - (-20542)\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -3.1891\nAnswer: 1.59455","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 80 and 120.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -2*i + 33. Let m = i + 1. Does 8 divide (-402)\/m - (-6)\/(-30)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-3)\/((144\/(-23544))\/((-260)\/(-6)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.434 + 7.375899.\nAnswer: 3.941899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 294707 is divided by 164.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 6 + 1)*(2*d - 4*d + 0*d + (4*d - 4*d - d)*(0 + 0 + 1) + 0 + 0 - 3*d + (-2*d + 4*d + 0*d)*(-8 + 5 - 3) - 4*d - d + 2*d).\nAnswer: -42*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of 47*a**4\/3 + a**3\/3 + a**2\/2 - a. Let q be 6\/(-12) + (15\/(-10))\/3. Is p(q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6497117 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -23*k**3*v + 3*k**3 - k**2*v + 362*k**2 + 471*k*v**3 + 11*k wrt v.\nAnswer: -23*k**3 - k**2 + 1413*k*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tn when two letters picked without replacement from {t: 6, q: 1, z: 1, l: 1, n: 2, h: 4}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes before 11:56 AM?\nAnswer: 1:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 + 0)*(-814 + 814 + 155*y + (3 + 3 - 4)*(4*y + 3*y - 5*y) - 2*y - 2*y + 3*y).\nAnswer: 158*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 9 = -4. Suppose 0*y + 3*y - 18 = 0. Suppose -r*h + y = -4, o - 4*h = 0. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -9, -119\/31, -4, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 122, 1275, 4430, 10589, 20754, 35927, 57110?\n\"Answer: 167*j**3 - j**2 - 13*j - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -n**3 + 5*n**2 + 20*n - 62. Calculate the remainder when c(6) is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:00 AM and 12:31 PM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 80923185?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 + 18. Suppose z*b + 2*f = 4, 0*b - 4*f - 7 = 3*b. Suppose -5*k + b*k + 6 = 0. Is 2 at least k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 11*c + 2099. What is the hundreds digit of o(34)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000456812 rounded to 5 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 6*r + z - 8, 4*r + 3*z = 14. Let s(y) = 3*y + 4. Let q(d) = 2*d + 3. Determine r*s(c) - 6*q(c).\nAnswer: 3*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes before 10:44 AM?\nAnswer: 1:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*b*k**4 - 8*b*k**2 - 28*b + 4*k**4 + 14*k**3 - 1 wrt k?\nAnswer: -48*b*k + 96*k + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 490 and 420?\nAnswer: 2940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -72058, -144114, -216186, -288280, -360402?\n\"Answer: -v**3 - 2*v**2 - 72043*v - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-24)\/14 - (3 + -1 - 4). Factor 6\/7*h**2 + m - 6\/7*h - 2\/7*h**3.\nAnswer: -2*(h - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -83a287 (base 11) in base 7?\nAnswer: -14304064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 217, 9.\nAnswer: -1, 9, 217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -3*g + 44, 2*k = -2*g + 4*k + 28. Solve -3*f = f - g for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 75*j. Let k(r) = -28*r**2 + 4770. Determine k(y(v)).\nAnswer: -157500*v**2 + 4770","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -3*t**3 - 9*t**2 - 26*t - 143. Calculate f(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2699 - -13.2699. Which is the fourth smallest value? (a) 1 (b) -5 (c) 17 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15 + 17. Let k = -2.0000006 + i. Round k to six decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -52.21 and -0.6?\nAnswer: 51.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/2)\/(9*56\/(-504))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*m**2\/5 + 17135056*m\/5 - 36701268015392\/5 = 0. Calculate m.\nAnswer: 4283764","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = 2*i - 0*b + 14, 0 = -5*i + 4*b - 5. What is the second derivative of 12*m**4 + m + 6*m - m**3 + m**i wrt m?\nAnswer: 144*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 189958?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 - 11*y - 14. Let t = 5 - 15. Let o be n(t). Let q(p) = p**3 + 5*p**2 + 5*p + 3. Calculate q(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of -m**3\/6 + 18*m**2 - 105*m. Let t(y) = -y. Calculate i(t(n)).\nAnswer: n + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -4*l**4 - 31*l**3 - 54*l**2 + 27*l + 9. Let v(s) = s**4 + 8*s**3 + 13*s**2 - 6*s - 2. Let q(x) = 4*m(x) + 18*v(x). Factor q(u).\nAnswer: 2*u**2*(u + 1)*(u + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 715 is divided by 72.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 832252 is divided by 208039.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -3*a**3 - 4*a - 2*a + 8 - 6*a**2 + 4*a**3. Let r = 299 - 292. What is the tens digit of t(r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, -3, 5061, -4, 2 in descending order.\nAnswer: 5061, 2, 1, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20866*f + 20861*f - 62587*f + 20864*f.\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 468\/(-390)*(-2)\/(-4)*-10. Let a(n) = -n - 20. What is a(x)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 52 and 2002?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that v**2 - 410836*v + 42196554724 = 0.\nAnswer: 205418","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -566.069.\nAnswer: 1132.138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*t - 4 = 31 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*v + 9, 0*a - 5*v = -5*a - 25 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5017772 divided by 218164.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -6*m + 905. Give l(68).\nAnswer: 497","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 - 8. Let t(x) = -x + 9. Calculate the remainder when t(i) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/(-10)*(-12)\/120*5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiii. What is prob of picking 2 i?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/17))**(-40) assuming t is positive.\nAnswer: t**(80\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5973 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 95094553 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(1200) + sqrt(12))\/sqrt(6).\nAnswer: 11*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17763*q + 55 = 17818*q. What is the nearest to q in 3655, 1\/8, -0.1?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7\/6, -2, 1\/5, 1 in increasing order.\nAnswer: -2, -7\/6, 1\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -14.3 + 14.2. What is the closest to 0 in j, 3, 10\/37, -2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 43 + -1 + -61 - -31\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((-2 + (sqrt(320) - (sqrt(320) - (sqrt(320) + 0 + sqrt(320) - sqrt(320)))) + sqrt(320) + sqrt(320))*-4*1 - (1 + 5*(sqrt(320) + -1) + 0)))**2.\nAnswer: -81600*sqrt(5) + 2315600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*m**3 - 13*m**3 + m**2 - 13*m**3.\nAnswer: 2*m**3 + m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -2261422\nAnswer: 904568.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 476 - 478.53. Let p = s - -2.03. Let t(a) = -a**2 + 6*a - 4. Let z be t(5). Sort 0, z, p, 0.2 in increasing order.\nAnswer: p, 0, 0.2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -446 (base 10) to base 8.\nAnswer: -676","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/26 and -9\/70?\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 64277868 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7 minus -1394?\nAnswer: 1394.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7169362 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 8100*u**4 - 101534220*u**3 + 313552816*u**2 - 27269680*u + 601536 = 0.\nAnswer: 2\/45, 3, 12532","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together 107191 and -0.4.\nAnswer: 107190.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 597497 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 3*b - 16 = 0, 2*b = 4*o - 0*o - 4. Suppose o*v - 4 = 12. Let h(g) = v*g - 4*g - 3*g + 0*g. Let r(t) = -15*t. Give r(h(u)).\nAnswer: -15*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 6, 60*d = -2*u + 57*d + 36. Solve -7*j = u + 22 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 5*o - 45. Let h be m(9). Suppose -32 = -h*n - 8*n. Sort -4, n, -1, -2 in increasing order.\nAnswer: -4, -2, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 274205 is divided by 91398?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 9, a: 2}. What is prob of sequence aaa?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 31 = 13*l. Suppose 9*d - 14*d = -165. Which is smaller: l or d?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22686 by -3.\nAnswer: -7562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + -8. Suppose 4*r + 7 - 3 = 0. Let j = i - r. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, g: 10, a: 1, s: 3, w: 1}. What is prob of picking 4 s?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -51 - (65 + -19 - 56).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01422999 to 5 dps.\nAnswer: 0.01423","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -32311, -32317, -32335, -32371, -32431, -32521, -32647, -32815?\n\"Answer: -x**3 + x - 32311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - z**5 + 0 + (5*z - 26*z + 9*z)*(74*z**4 + 61*z**4 - 53*z**4).\nAnswer: -985*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 1092, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 11*c**2 - 2*c + 2. Let q(d) = 111*d**2 - 21*d + 21. Let v(h) = 2*h**2 + 11*h + 17. Let l be v(-3). Give l*q(f) - 21*s(f).\nAnswer: -9*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 256 = 98*j + 448 - 290 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*x + c - 5*c - 20, -c = 5*x - 1 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -110 = -5*g - 5*t, 87*g - 4*t - 862 = 688 for g.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3005 and 170.\nAnswer: 102170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 12*p**2 + 18. Let i(w) = -w**2. Let c(s) = f(s) - 5*i(s). Differentiate c(m) wrt m.\nAnswer: 34*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24472*k + 33 - 33 + 24471*k.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 + -21322020?\nAnswer: -21322002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 4*t = -8, 0 + 2 = -2*p - t for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6, -0.6, 2\/9, 0.8, 5\/4?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - 1. Let n be (-4)\/16 - y\/(-12). Are -5 and n unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 4\/63, -1, 5, 4, 0.3, 0.178?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*y = -g - 5*y + 86, -3*g - 9*y + 121*y - 1901 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 982 - -731. What are the prime factors of j?\nAnswer: 3, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:52 PM and 1:43 AM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 - 5*z**2 + 87*z - 424. Let o be b(5). Solve o*u + 48 = -u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 - 14*s + 16. Let c be m(-15). Let k = -74.48 - -12.48. Which is greater: c or k?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*q + 7 - 7)*(70 - q**2 + 50*q - 66*q + 15*q) to o*q**3 + g*q**2 + d*q + z and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 34 - 25 - 26 - 4\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -2*m**3 + 74*m**2 - 23*m + 691. Calculate s(37).\nAnswer: -160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -58, -277, -642, -1153?\n\"Answer: -73*h**2 + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the second derivative of -t**4\/12 + t**3\/3 + 3*t**2\/2 - 3*t. Let j be d(-2). Let n(o) = o**2 + 3*o - 4. What is n(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wgg when three letters picked without replacement from gwgg.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*p - 6*p. Let k(y) = -14*y - 14. Let a be k(p). What is the greatest common factor of 18 and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3665 (base 9) in base 7?\nAnswer: -10652","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 83157 and 159.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 + 17*n**2 + 17*n + 19. Let t be h(-16). Let u be ((-8)\/t)\/(44\/(-66)). Solve 0 = -4*i + u - 12 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 18\/4 + (-11)\/(99\/36). Which is the second biggest value? (a) -0.1 (b) 30 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a**2\/2 - 6993*a\/2 + 754855 = 0. Calculate a.\nAnswer: 223, 6770","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 + 5*f + 4. Suppose -5*p = 5*d - 69 + 29, -2*d = -3*p + 4. Let n be 27\/d + 30\/(-40). Determine h(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (216140\/(-54033))\/4 + 1. Let a = 4268639\/864528 + m. Calculate the common denominator of a and 67\/6.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1449 divide 104372919?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the third derivative of u**5\/4 - 7*u**4\/2 - 6*u**3 - 2*u**2 - 12. Solve b(m) = 0.\nAnswer: -2\/5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/2, -3, 4, 11, -5?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 151 - 102 = 7*a. What is the greatest common divisor of a and 112?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u + 2 = 9*u. Suppose u*m + 13 = 155. What are the prime factors of m?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6873)\/585 + 5 - 0. Let o = 86\/13 + a. Sort 0.3, o, 6 in ascending order.\nAnswer: o, 0.3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5\/109 - -961\/436. Let l(t) be the first derivative of 25\/12*t**3 - 21\/4*t**2 + q*t + 1 - 1\/4*t**4. What is g in l(g) = 0?\nAnswer: 1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*z - 55 = -101*z - 4*n + 29, 0 = -6*z + 5*n - 105 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 150 = -5*a, -5*b = 7*a - 2*a + 180. Let p = a + 63. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 218008*v. Let f(z) = -51*z. Calculate a(f(l)).\nAnswer: -11118408*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 1. Let s(n) = n**3 + 7*n + 2. Determine 5*s(d) - 10*y(d).\nAnswer: 5*d**3 + 35*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 146551991 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -99\/548596 or 0?\nAnswer: -99\/548596","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*u**2 - 43*u + 48*u + 2*u**2 in the form a*u**2 + h + y*u and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -p**2\/2 + 168624*p - 5058495\/2 = 0. What is p?\nAnswer: 15, 337233","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7170949 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 86 a factor of 899647291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 14 = 10*a. Let n be (-8)\/10 + 2 - (0 + a). Let m be (-2)\/6*2\/(-5). What is the third smallest value in 0.1, m, n?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 179 = -j + 2*s, -4*j = 2*s - 694. Calculate the common denominator of (-3)\/(-3) + j\/16 and 2709\/490 + 6\/(-14).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 2420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.02 in -4, 6, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) be the second derivative of -z**4\/12 - 4*z**3 + 5*z**2\/2 - 3386*z. What is c(-23)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1189.106 meters in centimeters?\nAnswer: 118910.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -388.6894 to zero dps.\nAnswer: -389","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 + 25*p**2 + 45*p + 13. Is y(-18) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 17245?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 t when two letters picked without replacement from ftjvttfjjxxjktjvt?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3431574.\nAnswer: 2, 3, 311, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -18*y - 229. Let z(f) = 5*f**3 - 735*f**2 + 3*f - 453. Let u be z(147). What is j(u)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43369 is divided by 3332.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -506 - -569. Put -5, 3, i in descending order.\nAnswer: i, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - ((1 - (6 + -1)) + 0)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 4*c = -61, 4*c + 2 = 18. Suppose 2*d + d + k = 0. Let m(g) = -g**3 - 3*g**2 + 7*g - 2. Calculate m(d).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-576)\/2240)\/(6\/14)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1 from -54257712702654.\nAnswer: -54257712702655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10941, 21962, 32983, 44004, 55025, 66046?\nAnswer: 77067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**2\/(k*k*k*k*k**(-3)*k*k)*(k**1\/k)\/k**2 assuming k is positive.\nAnswer: k**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 1\/160, 2\/7, 3 in decreasing order.\nAnswer: 3, 2\/7, 1\/4, 1\/160","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -2*s + 80. What is the greatest common divisor of 5 and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1293.7551 months in centuries?\nAnswer: 1.07812925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pd when two letters picked without replacement from {p: 3, d: 8}.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44*1.7.\nAnswer: 74.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 80*y**5\/3 - 295*y**4\/6 + 55*y**3\/3 + 25*y**2\/6 = 0.\nAnswer: -5\/32, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3457 * 0.8.\nAnswer: -2765.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 836130524257 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 567891577?\nAnswer: 11, 37, 223, 6257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 3*y = 33, 2*t + y - 1576 = 4*t - 1557 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -2*sqrt(68).\nAnswer: -4*sqrt(17) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 - 7*t**2 + 8*t. Let b be h(6). Suppose 4*v = 4*u - b, 0*u - 3*v - 1 = -u. What are the prime factors of 196\/6 - u\/(-12)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(40)\/sqrt(2))\/sqrt(4))**2.\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -69\/4 + 135\/8. What is the third smallest value in -0.3, -2\/9, p, 0.4?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*b + 24*b = 2*b + 21*b. Which is greater: b or 10\/1577?\nAnswer: 10\/1577","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5\/2, 3, -783?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55 + (53 - 34) + 38.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 876 and 659847.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 35 (b) -4 (c) -0.51 (d) -3 (e) 13.2 (f) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -165 + 170. Suppose 6 = f*a - 4. Solve a*q + 1 = -3 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t, -11*t = 3*c - 7*t - 24. What is the remainder when 7\/2*(-12)\/(-2) is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 78106, 156208, 234308, 312406, 390502?\nAnswer: 468596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 25*i**5 + 11*i**5 + 0*i**2 + 6*i**2 - 8*i**2 wrt i?\nAnswer: 2160*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 54.54 + -54. Let g = 0.7 - 0.76. Let o = f - g. What is o rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/27? (a) 4 (b) 0 (c) 0.3 (d) 633\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*t + 2451 - 2352 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 14*r + 1263. Calculate n(-60).\nAnswer: 423","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8083.62 and 23.\nAnswer: 185923.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 547\/20 + -107\/4. Let y = 9\/166 - 247\/1494. Which is the second smallest value? (a) r (b) 0.1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.085 and 0.3.\nAnswer: -0.0255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -80931 divided by 22\nAnswer: -80931\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64890775?\nAnswer: 5, 2595631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -7538 (base 12) to base 10\nAnswer: -12860","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:28 PM and 11:57 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15225 - 8758. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 494 and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = -i + 5, -914*i - 4 = -912*i - r for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 3*s - o - 88, 0 = -5*s - 4*o + 122. Let u = s + 14. Calculate the greatest common divisor of u and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1681063, -5, -1, 80?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 605 a factor of 4673020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162 is divided by ((-7290)\/(-189))\/27*21?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 - 32*j - 54. Let c be r(-30). Suppose c*s - 830 = 172. List the prime factors of s.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40158?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (257*n**2 + 35*n**2 + 261*n**2 + 608*n**2 + 41*n**2)*(10 - 15 + 13).\nAnswer: 9616*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 192*b - 172. What is the hundreds digit of f(28)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 21 - 9 - 19*r**3 to the form l + x*r**3 + a*r**2 + p*r and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -39730048*t**2 - 678637635*t.\nAnswer: -79460096","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 911103.2 litres in millilitres?\nAnswer: 911103200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-7) - 0\/(-2)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.864 to 1 decimal place.\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 41030341 (base 5) to base 12\nAnswer: 13b040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 31*q + 10. Calculate l(2).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 120 - 151?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -3*u - 3. Let j(d) = -70*d - 60. Let z(s) = -j(s) + 20*l(s). Let f(m) be the first derivative of -m**2\/2 + 1. What is z(f(q))?\nAnswer: -10*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 5*g**2 + 3*g - 1. Let s(j) = 1 - 8 + 1 - 2*j + 4. Let b be s(2). Is y(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-58*k + 236 - 236)*(3*k**3 - k**3 + k**3) + 35*k**3 - k**4 - 35*k**3.\nAnswer: -175*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/4 (b) 501\/22 (c) -3.1 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 68\/1508423?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x + 16. Let w be o(9). Solve 0 = 4*b - g + 19, 0*b - 2*b + w = 5*g for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-12)\/10)\/((-39)\/6725160*4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 9*j - 5*j, 0 = -2*z + 5*j + 10. Suppose 2*a - 3*a + 147 = z. Calculate the remainder when a is divided by 20.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-1) - -3 - -7. Suppose 177 = y*c - 279. Suppose c = 2*t + 11. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**2\/5 - 376952*i\/5 - 376948\/5.\nAnswer: -4*(i + 1)*(i + 94237)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 5*h - 24, h = 5*l - 14 - 4. Let v(z) = -34*z + 1880. Let t be v(55). Solve -y = -l*y - t for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5\/4, 1, 2\/15, 4823?\nAnswer: 4823","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*z - z + 3*z)*(z - 3*z + z).\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -3*m**2\/8 - 15987*m\/8 - 1998 = 0.\nAnswer: -5328, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -469 in ascending order.\nAnswer: -469, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -62 - -158. Let z = b - 769\/8. Let u = 0.7 - 0.2. Put u, 0, z in increasing order.\nAnswer: z, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-15)\/(-5) - -1 - (4 - 2). Let u(r) = -r**3 + r**2 - r + 1. Calculate u(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 10*r. Give k(-5).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -67 - -128. Let x = r + 14. Suppose -v = 29 - x. List the prime factors of v.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 3*j**3 - j**2 + 3*j - 1. Let c be p(1). Let q be ((c - 5) + -4)\/(2\/6). Is -15 at least q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/9 of a day in minutes?\nAnswer: 5440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 581063 divided by 3.\nAnswer: 581063\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + (-4 - -1 - -4 - 148\/(-74)). Solve -f*a + 2 = j, 0 = 5*j - 7*a + 6*a + 12 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/36 and 7959\/(-742)*-1 + -11?\nAnswer: 1908","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3, -23, -61, -123, -215, -343, -513, -731?\nAnswer: -1003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 1947183680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 3, o: 2, y: 3}. What is prob of picking 1 t and 2 y?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 - 10*k - 12. Let r be g(-7). Suppose 8*q + 2 = r*q. Sort -1, q, 4 in decreasing order.\nAnswer: 4, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*i - 52*i**2 + 2*i + 5*i + 17*i**2 as x*i**2 + u + o*i and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 29 - -1c89e?\nAnswer: 1c8c8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -14*j + 1. Suppose -5*d = -0*d + o + 8, -2*o - 11 = 5*d. What are the prime factors of w(d)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*1 - (-18)\/(-2). Let b(p) = 35*p - 8 + 43*p + 37*p - 116*p. Determine b(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 108 and 288?\nAnswer: 864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of -w**3\/3 + 308*w + 2. Let x(g) = 35*g - 1. Determine x(v(c)).\nAnswer: -70*c - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c - c - c**2 - c. Let d = -87 + 98. Suppose -3*n = h + 13, -2*n - 2*h - d = -n. Calculate v(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2963 times -0.07?\nAnswer: -207.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22 and 21.\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from moffohoheyyymfoyh. Give prob of picking 2 f.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7.6 - -8. Let h = -1 - 2. Let k = -2.8 - h. Which is the closest to k? (a) -0.4 (b) 4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10100000111012 (base 3) to base 11.\nAnswer: -1000221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-288)*12*-8)\/(((-6)\/(-4))\/(-3)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 13.8 - -295205\nAnswer: 295218.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -183 at most as big as -2571\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 616653.4 micrometers?\nAnswer: 616.6534","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 136.7 - 137.1. Let p = -7.3 + 7. Which is the closest to t? (a) 0.1 (b) p (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 + (7 - (5 + -3))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -10.11046 at most 93?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 22*p - 56*p + 118 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 - -32. Suppose x - 20 = u + 2*u, 3*x - 56 = 5*u. Suppose -5*d + x = -163. Calculate the remainder when d is divided by i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 PM and 6:32 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/((j*j\/(j*j*j*j\/j**(-8)*j*j))\/j))\/j*j*j*j**5)\/(j**(2\/3))**(-3\/49)*((j**(2\/9)*j)**(38\/3))**(-26) assuming j is positive.\nAnswer: j**(-506018\/1323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -28 + 36. Let l(d) be the second derivative of d**5\/20 - 2*d**4\/3 - d**3\/6 + 7*d**2\/2 + 2*d + 727. Give l(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -120*c + 504*c**2 - 116*c**2 + 9 - c**3 - 388*c**2 to the form t*c**3 + d*c + z + g*c**2 and give z.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l**3 + 13*l**2 - 14*l - 28. Let j be u(-5). Which is bigger: j or 118?\nAnswer: 118","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -127\/14 = 67?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 6 = o, 5*o + 38 = 6*m - 3*m. Let u(l) = l**3 + 10*l**2 + 2*l + 8. Give u(o).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 4*d = 2*d - 54, -q = -3*d - 3. Let n be ((-121)\/22)\/((-1)\/(-2)). Let c(v) = -3*v - 21. What is the smallest common multiple of q and c(n)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1303555244 to the power of 1\/2, to the nearest integer?\nAnswer: 36105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -5 + 1. Is -33*((-6)\/9 + h) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, l: 5, o: 12}. Give prob of picking 1 o, 1 l, and 1 q.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3.696121l?\nAnswer: 3696.121","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1947 = 521*u - 4755 + 1492 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 5*a = 68 + 71, -g + 73 = 5*a. Let m = -48 + g. Solve -10 - m = 3*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.0737, 9, -4?\nAnswer: -0.0737","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 97 + -69. Let b = n - 28.1. What is the nearest to 0 in 2\/3, 2, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 6, f: 6}. What is prob of sequence ffi?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -4*l + 4. Suppose l*q = -q - 120. Is 328\/10 - 8\/q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109575*i**2 - 327909*i - 2448 = 0. Calculate i.\nAnswer: -272\/36525, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of -y**9\/84 + y**5\/3 - 3*y**2\/2 + 24. Let j(p) be the second derivative of h(p). Find the third derivative of j(d) wrt d.\nAnswer: -720*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 68*x**3 - 16*x**2 - 8*x + 69. Let n(h) = 23*h**3 - 6*h**2 - 3*h + 23. Calculate -3*g(c) + 8*n(c).\nAnswer: -20*c**3 - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 586*w**2 - 299*w**2 - 263*w**2.\nAnswer: 24*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/((-273)\/2)*48\/16?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + -2 + 5 + 1. Suppose n*p - p = 10. Suppose -p*k = 2*m - 10, 4*k - 4*m + 0*m = -20. Is 0 greater than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 - -330201012222?\nAnswer: 330201012221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 71 - (-5 - (-49 + -4))\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1857 + -1199. What is the highest common factor of 376 and z?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 629\/4 - 157. Let j = -66 - -65. Put 0.01, j, k in ascending order.\nAnswer: j, 0.01, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l**2 - 2*l**2 - 6*l + 2*l**3 - l - 10 - 6*l**2. Let h be d(-7). Is -3*(0 + h\/9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4373813 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 49*t**3*w - 14*t*w - 2*w + 283 with respect to t.\nAnswer: 147*t**2*w - 14*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -220*s**2 - 40*s - 270*s**2 + 768 + 424*s**2 - 2*s**3.\nAnswer: -2*(s - 3)*(s + 4)*(s + 32)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1982370 by 54.\nAnswer: 330395\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -1 + -10 + 1 + 174 + -163?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/b**(-1\/17)*b*(b**5\/b*b)\/b*(b**12\/b)**(2\/79) assuming b is positive.\nAnswer: b**(8511\/1343)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 0.5, 1, -140?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5482*c**2 + 1 - 5514*c**2 - 1.\nAnswer: -32*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 348671, 697821, 1046975, 1396133, 1745295, 2094461?\nAnswer: 2443631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 - -2) + 1 + 118. Let g(f) = -f**3 - 3*f**2 - 5*f + 2. Let q be g(3). Let z = q + y. Calculate the remainder when z is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, x: 5, q: 2, h: 9, l: 2}. What is prob of sequence hl?\nAnswer: 9\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9038614 to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 37\/32 in 23, 0.3, -2747?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add 1 and -904.\nAnswer: -903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -597 + 624.7. What is i rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(60) - (sqrt(60) - sqrt(60)*2))\/sqrt(4) - (sqrt(15) - sqrt(60)\/(sqrt(8)\/sqrt(2))))\/((sqrt(18)*-1*3)\/sqrt(6)*2).\nAnswer: -sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23625?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 258887 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -317 (base 14) in base 12?\nAnswer: -429","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (6 - 4) - -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -199, -399, -599?\nAnswer: -799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2. Let l(g) be the first derivative of 5*g**3\/6 + 2*g + 1. Let u(q) be the first derivative of l(q). Give p(u(c)).\nAnswer: -25*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 431 is divided by 88?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 + 0.3. Let u = q + 2.5. Let p = u - 3.0000004. What is p rounded to six decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8065328 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 232412381 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together 45295 and 109.7631.\nAnswer: 45404.7631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p**2 - 4*p**2 - 2*p**2)*(3 + 4 - 5) + 4*p**2 + 0*p**2 - 3*p**2 + 3*p**2 - p**2 - 4*p**2 + 93*p**2 - 5*p + 2 + 2*p - 100*p**2.\nAnswer: -12*p**2 - 3*p + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -415, -404, -393, -382?\n\"Answer: 11*c - 426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**2 - 4*z + 5. Calculate the remainder when 18 is divided by l(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -4*y**2 + 35*y + 6. Let o be n(13). Let u = o + 213. Let i be 2\/12 + 2\/(-3). Which is smaller: u or i?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -z**3\/7 + 21*z**2 - 1029*z + 16807 = 0. Calculate z.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 5:24 PM?\nAnswer: 6:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42244 and 18644.\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4\/(-6))\/(18\/(-7776)). Let u be (-30)\/(-4)*y\/12. Round u to the nearest ten.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -145 + 141. Let p be (-2)\/(-2) - -1*1. Suppose c - 2 = p*c. Put c, 1, g in descending order.\nAnswer: 1, c, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, 8, -8.\nAnswer: -8, 8, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 8, l: 5}. What is prob of sequence lxx?\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -72.49085 rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23420\/(-14052)*(-54)\/40?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/2*3*88\/(-33). Suppose 12 = 5*x + 2. Solve 15 = -q + x*v + v, q = y*v - 20 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 1 - 65*x + 118*x + 76*x.\nAnswer: 129*x - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9778 + 48892\/5. Which is bigger: -3620 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 261862973 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 3\/10 of a century?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -982.332 + 988. Round b to zero dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 3*p**2 - 17*p + 2. Let w be g(14). Suppose -72 + w = 5*l. What is the highest common divisor of l and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5263 - 3672. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 4*n**2 + 23*n - 29. Let i be f(-7). Which is bigger: i or -4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 17*y - 3290. Calculate c(194).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - 0. Let y = -2.9989 - n. Round y to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1825431 is divided by 4275?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1317.06678 + -1317. Let y = w + -0.065. What is y rounded to 4 dps?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x - 19 + 7 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 444774047.\nAnswer: 2411, 184477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = -q + 20, 3*q + 8 = -q + 2*r for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 3*z**3 - 1626*z**2 - 3288*z + 13056 = 0.\nAnswer: -4, 2, 544","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*q + 5*q + 11*q - 20*q.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -14*(-5)\/(-10) + 15. Solve 3*w - d = w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1068 + 754. Let n = u + 311. Let j = -1\/129 + -382\/645. Which is the smallest value? (a) j (b) n (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 54, 235, 536, 957?\nAnswer: 1498","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(-20)\/12*13\/(-780)*6?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 7\/5, -2\/5, -1 in decreasing order.\nAnswer: 7, 7\/5, -2\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = b - 3*b. Suppose 4*j = -5*p + 169, -2*p + b*j + 63 = 3*j. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2274179 and 139?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6.3 - -6.2902. Round a to 3 dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1287 a factor of 236106585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -33 + 32.7. What is the nearest to -1\/3 in 5\/4, p, -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 434*b = 42*b - 61*b + 11325 for b.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 g when two letters picked without replacement from ywgyywwyywgywwyyy.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -11177454 divided by -6?\nAnswer: 1862909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-6*(0 + sqrt(180)).\nAnswer: 108*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(21)\/(sqrt(28) - sqrt(7))*3.\nAnswer: 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2683, 2770, 2855, 2938, 3019?\n\"Answer: -y**2 + 90*y + 2594","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -19*z + 118. What is the remainder when j(0) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -36 * -1074.\nAnswer: 38664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 + -13.14. Let h = -0.04 - b. Let c be 26\/(-39)*((-54)\/124)\/(-9). Which is smaller: h or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7\/6 + 4\/(-24). Suppose -w - 11 = -3*i, c - 13 = -2*i. What is the second derivative of -f + 4*f + 2*f - f**5 - f**c wrt f?\nAnswer: -40*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3874 plus -2.385678?\nAnswer: -3876.385678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -5 + 3 + (30 - 2). What is the greatest common factor of h and 286?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.4 or -7.6264?\nAnswer: -7.6264","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + -2221003444?\nAnswer: -2221003442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 208 - 20 = 0. Suppose 0 = -2*z - 3*b + 273, y = -5*z - 4*b + 736. Let q = z + -79. Is 12 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -234, -932, -2088, -3696, -5750?\n\"Answer: f**3 - 235*f**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 AM and 2:39 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11)\/(-33) + 1)*1\/8?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 + 5*d**2 - 6*d + 2. Suppose 0 = 4*k - 3*x + 24, 4*x + 6 = -0*k - k. What is c(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 + 4*j + 55. What is g(-12)?\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1168.11 + -1171.4. Round h to one dp.\nAnswer: -3.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 2:33 AM?\nAnswer: 7:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -508 - 716 = -24*a. Let n be (-34)\/(-289) - (0 + (-147)\/a). Determine x, given that -126\/11*x**4 + 48\/11*x**n - 8\/11 + 94\/11*x**2 - 8\/11*x = 0.\nAnswer: -2\/3, -2\/7, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -3*n. Let s(a) = -a + 161962 - 161972 + 5*a**2 - 35*a**2. Give s(f(h)).\nAnswer: -270*h**2 + 3*h - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 64317853 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from urhhururuhr. What is prob of sequence hhru?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z, 1 p, and 2 a when four letters picked without replacement from aammeepvmvvez.\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2243 to two dps.\nAnswer: 0.22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 + -18. Suppose -318 = -0*i - 4*i + 2*z, v*z + 242 = 3*i. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 271016 is divided by 1882.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 10865 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - -2. Suppose -5*p + 4 = -b*p. What is the closest to 2\/9 in -0.4, 3, p?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32264, 32238, 32212?\nAnswer: 32186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 168289718\nAnswer: -336579436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**5)\/i*i*(i*i**(2\/27)*i)\/i*i*(i*i*i\/i**(-1\/3))\/(i*i**(1\/6)) assuming i is positive.\nAnswer: i**(13\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -1*(sqrt(21)\/(sqrt(12)\/sqrt(4)) + 5) + -3.\nAnswer: -7 - sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (40\/(-12))\/(26\/(-39)). Solve -12 = -8*d + n*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 127615 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00975866 to four dps.\nAnswer: 0.0098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/4, -0.31, 5.3, -2\/7?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5925 + 5925 - 2666*w to a + g*w and give g.\nAnswer: -2666","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 465626.7g to nanograms.\nAnswer: 465626700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l - 4*h - 40 = -l, 33 = -2*l - 5*h for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 161143 (base 8) in base 4?\nAnswer: 32021203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 12, -19, -166, 5, -5\/4, 4, -3?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.067 times -0.04894?\nAnswer: -0.00327898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0452 and -48.4?\nAnswer: 2.18768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-32)\/8*(-1)\/((-8)\/10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -76*o**4 - 2*o**2 + 2*o**3 + 65*o**4 - 8*o**3 - 17*o**3 to the form c*o**3 + b*o**2 + p + u*o + i*o**4 and give i.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 15049 and 15198?\nAnswer: 1534998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n**2 - 26*n + 22. Let g be v(12). Is g >= 26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 18*s**2. Let x(m) = -112340*m + 2. Calculate x(t(o)).\nAnswer: -2022120*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 2)*(-3*h + 2*h - 9*h).\nAnswer: 10*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-45)\/((-7 - -3) + 3)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 222 (b) 0.1 (c) -1\/4 (d) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t - t = 5*j - 5, 3*t = -j - 3. Is ((-1)\/(-3) + t)*(-4041)\/6 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39 + 6 + 38)*((h - 4*h + 5*h)*(-3*h**2 + 3*h**2 - h**3) + 1 - 1 - 2*h**4).\nAnswer: -332*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 - 9*m + 18. Suppose 0 = -8*b + 14*b - 12. Let g be r(b). Solve -4*x - g - 12 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 107, 218, 329?\nAnswer: 440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f = -2*f + 5181. What are the prime factors of f?\nAnswer: 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 - 23*x - 76. Let s(w) = w + 5. Let o be s(3). Suppose o*t - 9*t = -7. Calculate the remainder when t is divided by c(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of 347*v**5 - 1791*v + 197. What is the first derivative of c(l) wrt l?\nAnswer: 6940*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 6:52 AM?\nAnswer: 11:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*w + 2*w + 80. Suppose 0 = -4*y - 5*i + w, -4*y + 38 = -i - 6. What is the remainder when 38 is divided by y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 32 and 40.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 - -7. Let t(u) = u**2 + u - 2. Let l be t(3). Is 2 a factor of ((-30)\/25)\/(i\/l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 876882314 to the power of 1\/3, to the nearest integer?\nAnswer: 957","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18411 and 17?\nAnswer: 18411","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 21\/4 - -3*(-5)\/(-20). Suppose -5*b + 2*b = -a - x, -b + 2 = -5*a. What is a rounded to 4 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 855834481 a multiple of 1732?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fvddszffvv. What is prob of sequence sz?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 3*g + 4*g**2 + 4 - 4*g**2 - 9 + g**2. Let o be y(-6). Solve o = -2*i + 3 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -3*a - 75 - 31, 3*s - 49 = 2*a. Let q be 0\/(((-8)\/a)\/(2\/(-8))). Suppose 100 + q = 5*o. What is the greatest common divisor of 15 and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -3*u + 23. Let j(g) = g**2 - 7*g. Let c be j(6). Let h(m) = m - 8. Let w be 100\/(-6) - 2\/6. Calculate c*r(a) + w*h(a).\nAnswer: a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 3*f. Let x(m) = m**2 + 15*m + 1. Let t(r) = 11*j(r) - 2*x(r). Suppose 10*d + 21 = 17*d. Let i(s) = 8 + s**2 - s + 2 - 6 - d. Give -7*i(g) - 3*t(g).\nAnswer: -g**2 - 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -25*l**2 - 3*l - 4. Let g(o) = -74*o**2 - 8*o - 11. Give -8*f(d) + 3*g(d).\nAnswer: -22*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.20403948 to 3 decimal places.\nAnswer: 3.204","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 8119003 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.3 - -3.3. Let q = m - 2.00000011. Round q to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 + 12. Let n be (2\/(-6))\/(2\/o). Let y be (n\/(-1))\/((-13)\/(-26)). Let w(f) = f - 14. Determine w(y).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dqdq when four letters picked without replacement from ddqdqqqdqdqqddquqdd.\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 50277220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/7 - 139564*w\/7 - 5439954\/7.\nAnswer: -2*(w + 39)*(w + 69743)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 533517627 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 602 and 112?\nAnswer: 4816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, 0, -80, 0.1, 2, 0.035 in ascending order.\nAnswer: -80, -1\/5, 0, 0.035, 0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.08, 1, 0, 0.12, 2.\nAnswer: 0, 0.08, 0.12, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1121, 1122, 1123, 1124, 1125?\nAnswer: 1126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -11*q - 4. Let z be 0 + (11 + -3 - 6). Calculate i(z).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 2 + sqrt(539) + 1 + sqrt(539) + 5)**2.\nAnswer: 84*sqrt(11) + 2165","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxixxixxixii. What is prob of picking 3 i and 1 x?\nAnswer: 90\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -80 equal to -552\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 - 7) + -13 + -3 + 1?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2455 is divided by 28.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -36*q**2 + 1. Let n(h) = 3*h**2. What is n(j(o))?\nAnswer: 3888*o**4 - 216*o**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34275 (base 8) to base 2.\nAnswer: -11100010111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 183 (b) -5\/4 (c) 8 (d) 1 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(187) - -1*2*sqrt(187))\/(sqrt(110)\/(sqrt(90) - sqrt(10))))**2 - (-2 + (sqrt(1700) - sqrt(1700)*-1) + 0)) + 0.\nAnswer: -20*sqrt(17) + 614","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/11 and -34\/47?\nAnswer: 517","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 363?\nAnswer: 1\/363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, 1, 0.05 in ascending order.\nAnswer: -20, 0.05, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fge when three letters picked without replacement from wbfffbefbewfgbfbewfg?\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3377598514?\nAnswer: 2, 83, 1951, 10429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*a - 134*a = -14763. What are the prime factors of a?\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 70.5571 to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 8190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -166, 1, 4\/3, 0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -421*k**3 + k**2 - 5*k + 4. Let c be d(1). Let l = 2460 + c. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7549 + 1881 - 1924)*(-6*h**2 + 3*h**2 + h**2).\nAnswer: -15012*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.166 and -37633.\nAnswer: -6247.078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3910920 a multiple of 872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16*o**4 + 2926*o**3 - 879237*o wrt o?\nAnswer: 192*o**2 + 17556*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v - 1708 = -5*v. What are the prime factors of v?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g. Let w be (-12)\/(-16)*((-2)\/2 + 5). Let y(r) = -23*r - 21. Let m(n) = w*a(n) + y(n). What is the first derivative of m(t) wrt t?\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**3 + 4*n**2 + 3*n. Let l be (-1*33\/1)\/(1 + 0). Let i = -22 - l. Suppose -3*q + 37 - 13 = 3*j, 0 = 2*j + q - i. What is h(j)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.05 (b) 2 (c) 2\/9 (d) -5 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -197 - -200. What is the closest to 0.2 in g, -2\/35, -0.3?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -19\/125 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 4 = 5. Suppose 75 = -x + 2*x - z*r, -x = 2*r - 70. Suppose x = 2*k + 2*k. Solve 2 + k = 4*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100000010101110101 (base 2) to base 7.\nAnswer: 1061131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -71938*i + 36671?\nAnswer: -71938","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/30 and -131\/21582.\nAnswer: 107910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21977 is divided by 3305.\nAnswer: 2147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a decade in months?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 300.12804s to hours.\nAnswer: 0.0833689","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19\/323*(365495 - 12) is divided by 48.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130062 is divided by 234.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -58709, -117411, -176103, -234779, -293433, -352059, -410651, -469203?\n\"Answer: r**3 - r**2 - 58706*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42145 is divided by 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 - 2. Let c = -423117\/11 - -38465. Put z, c, -1\/5 in ascending order.\nAnswer: z, -1\/5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-43)*(-2)\/(-2). Let t = s - -163\/129. Is t less than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-9)\/6 - 0)*-2. Let z be ((-6)\/15)\/(a\/(-30)). Solve -m + 1 - 3 = 3*g, 2*g + 18 = -z*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 681*g - 686*g + 600 = 0. What is the least common multiple of g and 4?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000288438 rounded to 4 decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 39*t - 463*t**2 + 519*t**2 + 12*t in the form s*t**2 + u*t + g and give s.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 302581 + 312769 = 5*t, 0 = 3*d - 15. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -91675*g**3 + 7 - 65*g + 91673*g**3 - 3*g**2 - 2 in the form d + b*g**2 + k*g**3 + a*g and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 + -312332401?\nAnswer: -312332343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.143, 1, 0, -1, -2\/9 in descending order.\nAnswer: 1, 0.143, 0, -2\/9, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-26)\/(-10) + 8\/20. Suppose -16*a + 42 = 6 - 28. Solve -5*u + 45 = 4*w, -5*u + q = -a*w - 2 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.225 to the nearest integer.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 7*z. Let j = 18 + -11. Let l(y) = -1 + j*y - 6*y + 1. Calculate l(t(k)).\nAnswer: 7*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -378944 plus -223357.6?\nAnswer: -602301.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x + 0*j - 14 = -j, -3*x + 3*j + 18 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -6*d**2 + 7*d - 17. Let f(u) = 5*u**2 - 6*u + 18. Let b(x) = -7*f(x) - 6*v(x). Let l be b(0). Let h be l\/(-10) + 4\/(-10). Are h and 2 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -520*d**2 + 209*d**2 + 87*d**2 + 195*d**2.\nAnswer: -29*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12650)\/(-45540))\/((-5)\/(-8))?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 2*q. Let x(h) = -14604606*h**2. What is o(x(k))?\nAnswer: -29209212*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -12, -2\/33, 61, -27?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 14.2952 + 11.09763873.\nAnswer: 25.39283873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 45\/(-18)*(-24)\/10. Let t be ((-9)\/q)\/3*-44. Suppose r + 0*r + 3*g + 6 = 0, -3*r + g = -t. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + 351 + (13 - 16) - -2. Suppose 0 = -20*u + 15*u + 50. Suppose s = 4*q + u*q. Is q even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = 7*v - 33. Let f(j) = -j. Let a(x) = -x. Determine v*a(o) - f(o).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/4884 and -83\/10124532.\nAnswer: 10124532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 7*p**2 + 13*p + 10. Let r(t) = -t**2 - t. Let j(h) = g(h) + 6*r(h). Calculate j(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 6, -1\/10, -7, -2\/15 in ascending order.\nAnswer: -7, -2, -2\/15, -1\/10, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/130758 and 83\/155496?\nAnswer: 5753352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -165 + 168. What is the remainder when 21 is divided by (-15)\/m*((-14)\/5 + 0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1306*g**2*h - 12*g**2 - 6*g wrt h?\nAnswer: -1306*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 54388 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -351305*c**4 - 4*c**2 + 6*c + 151 wrt c?\nAnswer: -8431320*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 119330679?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000057706587 rounded to six decimal places?\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 + 3*o - 2. Let m be v(-3). Suppose -2*w = -4*u - 2, -w + 37*u = 38*u - 4. Sort m, -10, w, 1 in increasing order.\nAnswer: -10, m, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 2*k - 14, -2*r - 10 = -k - 6*r. Let b = -7 - -11. Calculate the highest common factor of k and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 281849 is divided by 39.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16338 is divided by 3194.\nAnswer: 368","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -68749, -130811, -192873, -254935?\n\"Answer: -62062*n - 6687","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-6)*(-12)\/4*12?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of h**4\/12 - 5*h**3\/6 + 3*h**2 - 2*h. Let d(y) = y**2 - 6*y + 10. What is the remainder when d(7) is divided by q(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 17 - -5. Let v be n\/3*2\/4. Let z = -19\/6 + v. Sort 1, 1\/4, z in decreasing order.\nAnswer: 1, z, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-2\/3))**4*(w*w**2*w)\/(w\/(w**(-4)*w)))\/(((w**(-4\/7)\/w)\/(w\/(w**(-1\/4)\/w)))\/((w**(1\/6)*w)\/w**(-2\/3))) assuming w is positive.\nAnswer: w**(251\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1529188?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -2*k**2 - 14*k + 9. What is u(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16225 = -4*d - 1104*d - 49461 - 23272 for d.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, 210148 in ascending order.\nAnswer: -5, -3, 210148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h**3 + 6*h**2 + 30*h + 4. Let x be k(10). Which is greater: x or -1095?\nAnswer: -1095","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 206 + -52. Let o be (5\/(-915))\/(0 + (-6)\/q). Let l = o - -5\/61. What is the nearest to -4 in -1\/6, l, 1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 15860*j - 17015*j + 0 - 2 in the form m*j + q and give m.\nAnswer: -32875","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -166 = -4*x - 146 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -12\/5, 101, -59?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 403, 423, 467, 541, 651, 803, 1003, 1257?\n\"Answer: k**3 + 6*k**2 - 5*k + 401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -99753, -199508, -299267, -399030, -498797, -598568, -698343?\nAnswer: -798122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -12*g**2. Let o(p) = -p - p**2 + 8*p - 7*p. Calculate t(o(u)).\nAnswer: -12*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5532435 divided by 51705?\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t**(-1)\/t)*t\/((t*t**(-1\/10))\/t))**(-5))**8 assuming t is positive.\nAnswer: t**(-164)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z + z - d + 5, 0 = 4*z + 5*d - 25. Suppose 0 = -b + 4*b - 3*i - 27, -2*b - 5*i - 10 = z. What is the remainder when 18 is divided by b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 5*l = -20, 3*l - 8 = -w - 0*w. Let g = -18 + w. Solve -g = -3*x + 4 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 74*d. Let x(v) = v - 164242. Calculate x(s(o)).\nAnswer: 74*o - 164242","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/28 and (-4)\/(-6) - (-3834)\/567.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -174 + 0*j + 101 + 0*j + 302 - 3*j**2 as m*j + i*j**2 + y and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -192, -188, -184?\n\"Answer: 4*j - 196","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 7523+-20581\nAnswer: -13058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -5*n - 0*q + 3*q, q = 4*n + 16. Let z be (3 + n + 6)*(-1)\/(-3). Solve z*b = 5*b - 15 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 363505 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2411?\nAnswer: 2411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/a**(-3\/4)*a)\/a)\/(a**15*a))\/(a*a**(-4)\/a*a)**(-2\/17) assuming a is positive.\nAnswer: a**(-993\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 24 or 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (24\/16)\/((-6)\/(-8))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 2 + 16 + -20 - 2 - 9?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/1 - 0 - -8. Suppose -25*f = 16*f - 27060. Suppose -c*m + m = -f. Round m to the nearest 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes after 5:58 AM?\nAnswer: 5:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*a**3 - 7*a**3 + 6*a**3.\nAnswer: 4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 78?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 18925173?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.52 + 1.42. Let n = 4.767 - 0.067. Let g = n + 0.3. What is the closest to 2 in b, 2\/15, g?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -3704 and 1\/752 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, h: 6, b: 2, s: 2, y: 5}. Give prob of sequence hsd.\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2643, -5288, -7933, -10578, -13223?\n\"Answer: -2645*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-22)\/(924\/63))\/((-15)\/(-130))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 58 divide 116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 3 - (-7 - -6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 61993467 and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 2*h + 96 = 3*h, -5*r - 3*h = -240. Calculate the remainder when r is divided by (0\/(-2) - -28) + (-16 - -13).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000310854 to six decimal places.\nAnswer: 0.000311","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/93570 and 12\/35.\nAnswer: 654990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 5*u**5 - 190*u**4 + 1790*u**3 + 560*u**2 - 5035*u - 3610 = 0.\nAnswer: -1, 2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is sixty-seven fifths of a litre in millilitres?\nAnswer: 13400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -37 + 24. Let z be (-12*(-6 + 2))\/((-9)\/6). Let h be (((-45)\/2)\/5)\/((-12)\/z). Are b and h unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(12\/(-162) - 11\/(-27))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -288\/5*w**2 - 21\/5*w**4 + 0 + 96\/5*w - 162\/5*w**3.\nAnswer: -3*w*(w + 4)**2*(7*w - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = -201*u + 215*u. Solve u*c + 45 = 61 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxdddxxxmdmxm. Give prob of sequence xdmm.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -131\/110 and -101\/650.\nAnswer: 7150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 - 23*x**2 - 41*x + 14. Let a be w(-17). Let o = 2305 + a. Does 26 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.812878 and 1.4?\nAnswer: 1.1380292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 828 and 14.\nAnswer: 5796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -52.4? (a) -1755 (b) 3 (c) -0.37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 141 + -80. Let q = l + -61. Is 1.3 at least q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 824*i + 24757. Determine o(-30).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*(h\/h**8)\/h*h**(-1\/7))**27\/(h**(-2)\/(h\/h**10))**(16\/7) assuming h is positive.\nAnswer: h**(-1462\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 10352*i + 2. Let x(o) = -5331301*o - 1031. Calculate -1031*m(f) - 2*x(f).\nAnswer: -10310*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -19.22228 from -2675495.\nAnswer: -2675475.77772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 + n**2 + n + 88. What is p(0)?\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -12) + (-2 - (2 + 1))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/15*5\/255*15. Sort 4, l, 7 in descending order.\nAnswer: 7, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that 2*r**4\/5 - 141657232*r**3\/5 - 141657234*r**2\/5 = 0.\nAnswer: -1, 0, 70828617","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 980 + -516. List the prime factors of u.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6665 + 6667. Solve 0*d = -d - n, -2*d - 16 = 3*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -276 - -292.9. Let t = 17 - v. Let k be (1 - (6 + 3)) + -13 + 16. What is the biggest value in k, 0.4, t?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -r**3 + 53*r - 41*r - r**3 as v + f*r**2 + d*r + n*r**3 and give d.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.06 - 11.07.\nAnswer: -11.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = 10 - 0, 282 = -5*s - 4*r. Let j be (-4)\/(-10) + s\/(-5). Suppose 4*z - 2*z - j = 0. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -73 - -72.918. Let a = -0.02 + m. What is a rounded to 2 dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 56352, 112732, 169162, 225642, 282172?\n\"Answer: 25*n**2 + 56305*n + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 44 and 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -3 - 2 + 20*j + 14 + 8*j**2 - 1 = 0.\nAnswer: -2, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140496091 is divided by 312.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 82868*m**2 - 93128 with respect to m.\nAnswer: 165736*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -2. Let c(l) = l**2 + 1. Let v be c(1). What is the third derivative of -1 + a - v*s**6 - 3*s**2 + 3*s**6 wrt s?\nAnswer: 120*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 159876 + -57035. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 2*j**2 - 4*j**2 + j**2. Let c(y) = -y + 9. Let b be c(7). Let q(s) = b*s - s - 3 + 3. What is q(k(p))?\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 6 + 2. Let b = c - 2. Let z(p) = -p**2 - 12*p + 864. Let j be z(-36). Solve -2*y + 4 - b = j for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q - 12, 2*u - 5*q - 3 = -2*u. Let f(o) = 0*o**2 - 24 + 3*o + o**2 - 2*o + 26. Calculate f(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/81 - 21608\/(-21978)?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40)\/(-18) - 4\/18?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.1 (b) -5 (c) -7 (d) -4\/7 (e) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(10) - sqrt(40)\/sqrt(4)))\/((3*sqrt(4))\/sqrt(2)) - (sqrt(80)*5*1 + (sqrt(1800) - (sqrt(1800) + -1*sqrt(1800) + sqrt(1800)))\/sqrt(10)))**2.\nAnswer: 2000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 7:49 AM?\nAnswer: 5:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -fcb7 (base 16) to base 2\nAnswer: -1111110010110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 8:03 AM?\nAnswer: 5:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -x**2\/9 + 2147*x\/9 - 488992\/9 = 0.\nAnswer: 259, 1888","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5.1 (b) 4 (c) -5 (d) 2\/23 (e) 1\/7 (f) -0.18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyyy when four letters picked without replacement from bkkykbbkkykkbbbkk.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**4 + 84*z**3 + 682*z**2 + 1344*z = 0 for z.\nAnswer: -32, -7, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together 10704139 and 4.474.\nAnswer: 10704143.474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 1041669*x**2 + 49*x + 51. Is u(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 2*d**3 + 5*d**2 + 3*d. Let o(q) = -4*q**2 - 3*q**2 + 2*q - 3*q**3 - 6*q. Let g be 75\/20 + 3 - 3\/(-12). Determine g*k(x) + 5*o(x).\nAnswer: -x**3 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 - 4*i**2 - 2*i. Determine o(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 33679 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4 - -6a1?\nAnswer: 69c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -338 + 124*n**4 + 338 + (0*n**3 + 3*n**3 - n**3)*(-4*n + 2*n - n) + n**4 + 3*n**2 - 3*n**2 + (3*n + 0*n - 5*n)*(0 - 2 + 1)*(-3*n + 3*n + n**3).\nAnswer: 121*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.3025 - -0.30251293. What is i rounded to 6 dps?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 + 9*s - 1. Suppose 28*f = 2*f - 260. Determine q(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4866855 to the power of 1\/4, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 5*v**3 + 72*v**2 + 351*v - 16. Let r(p) = -3*p**3 - 41*p**2 - 176*p + 9. Give -4*c(z) - 7*r(z).\nAnswer: z**3 - z**2 - 172*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 7*j**2 + j - 3. Let n(b) = 6*b**2 + b - 2. Give 4*m(c) - 5*n(c).\nAnswer: -2*c**2 - c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 389\/1 - (6 - (10 + -3)). Which is the closest to w? (a) 1 (b) 0.1 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 131, 346, 827, 1568, 2563, 3806, 5291?\nAnswer: 7012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.1 from -2214355489.352.\nAnswer: -2214355489.252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 9*g - 13)*(g + 0*g + 6*g)*(2 - 2 + g**2).\nAnswer: -63*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)*-3*2 + sqrt(117))\/(sqrt(729)*-5).\nAnswer: sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 4, 3 in descending order.\nAnswer: 4, 3, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pgzzzpppzg. Give prob of picking 2 g.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 18 = 2*r, 27*r = -72*r + 100*r + 3 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 - 9. What is the smallest value in b, 3\/5, -2\/15?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r*r**1))\/r*r\/(r*(r*r*r\/(r*r\/(r\/(r*r\/(r*r**(-16\/5)*r)))))\/r))\/(r*r**(-22\/7)\/r*r*((r\/((r**7\/r)\/r))\/r)\/r) assuming r is positive.\nAnswer: r**(257\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 - 8. Suppose -p*q = 5*l + 4, -2*q - 6*l + 3*l - 4 = 0. Let m(y) = -y**2 - 4*y + 10. Let t be m(-5). Solve -q*u = -4*b - 16, -4*u - u = t*b for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10000 + 0?\nAnswer: 10000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 0.0195 = 4664\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -27211507.25 to the nearest one million.\nAnswer: -27000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 278938800?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/15 - 286\/(-10). Let g be 3\/(-21) - (-323)\/7. Let z = g - n. Calculate the remainder when z is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of -w**9\/3024 - w**8\/420 - w**7\/140 - w**6\/90 - w**5\/120 + w**3 - 3. Let s(l) be the third derivative of i(l). Factor s(k).\nAnswer: -k*(k + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, -45, -67?\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4332 and 109820?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 9*s + 2*s + 0 to the form u*s + i and give u.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a - 4*a - 2*a)*(-1 - 3 + 3)*(-3 - 1 + 3)*(-77 + 24 + 28).\nAnswer: 175*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 - 3*k + 4. Is 14 a factor of o(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.7 + -2.2. What is the smallest value in j, -2, -0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1496 is divided by 299?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 8*l. Let n(y) be the first derivative of 49*y**2\/2 + 975. Calculate u(n(k)).\nAnswer: 392*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -17, -39, -79, -143, -237, -367?\n\"Answer: -f**3 - 3*f**2 - 6*f - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -3 (b) 0.02 (c) -782\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -1\/5, -5, -4, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (10 - (4557\/9)\/49)*(-1 - (-50)\/68)\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2. Let t(f) = f**3 + 158*f**2 + 5*f**3 - 149*f**2. What is -t(u) + 9*y(u)?\nAnswer: -6*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 279 = 270 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1141846000 to the nearest one million.\nAnswer: 1142000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 2 = p + 1, -5*w - 21 = 2*p. Suppose p*x = x + 7. What are the prime factors of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u**2. Let c(s) be the third derivative of -s**7\/840 - 31*s**4\/24 - 2*s**2. Let y(m) be the second derivative of c(m). What is h(y(w))?\nAnswer: 18*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10\/14*(-40)\/100. Let v be 2\/(-6) + 2\/6. Let h = 0.2 + -0.3. Which is the biggest value? (a) v (b) h (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25e6a (base 15) to base 5\nAnswer: 12341000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76317879?\nAnswer: 3, 11, 17, 29, 4691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -1. Let w = 5 + j. Suppose -2*c + w*c = 6. Does 3 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 9:53 AM?\nAnswer: 10:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6.2? (a) 2\/3 (b) -3 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange y**2 - 9*y + 9*y - 2*y**2 + 0*y**2 + 0*y**2 + (-y - y + 4*y)*(y - 4*y + 0*y) - y**2 + 0*y + 0*y to a*y + s + j*y**2 and give j.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/7 - 393\/805. Let z = 4\/23 + u. Let j = 0.1 + -0.1. What is the closest to j in z, 0.5, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/11 or -36?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1792 a factor of 47148802?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13524 (base 10) to base 8.\nAnswer: 32324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from giggiil. What is prob of sequence gi?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2112202 + 10?\nAnswer: 2112212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 180 - 70. Suppose -4*b + 9*b = s. Suppose 5*i = 47 + 168. What is the remainder when i is divided by b?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -2*h**2 - 42*h + 2025. Let i be m(-44). Put -4, i, 20, 0, 5 in increasing order.\nAnswer: -4, 0, i, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6200, -24764, -55688, -98972, -154616?\nAnswer: -222620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21.981 - -0.019. Let j = 340 - 321.1. Let l = j - b. Round l to zero decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gqegieieiqmqieqqeqig. Give prob of picking 1 q and 1 g.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from aasaasaassasaa.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -8292 (base 13) to base 7\nAnswer: -103401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -201, -185, -157, -111, -41, 59, 195?\nAnswer: 373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 33 = i, -3*i = 2*n + 5 + 39. What are the prime factors of 6344\/36 + 4\/i?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -711, -758, -805, -852, -899?\n\"Answer: -47*i - 664","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-76)\/(-5))\/((-14)\/840). Let h be (-6)\/15 - g\/(-20). What is h rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 151 - 115. Calculate the remainder when -2 - ((-1089)\/i)\/((-1)\/(-4)) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.09 + -5.91. Sort 3\/4, 0.4, g in decreasing order.\nAnswer: 3\/4, 0.4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4289787?\nAnswer: 3, 158881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 19915767 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110*z - 5328 = 3681 + 3257 - 606. Suppose -48 = n - 2*n. Calculate the remainder when z is divided by n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13 - 46*c**2 + 10*c**2 + 13*c**2 + 10*c**2 + 8*c**2 in the form k + n*c + g*c**2 and give g.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2276 is divided by 1135?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -85*i + 1 + 166*i - 2 - 82*i. Let h(b) = 18*b + 16. What is 3*h(w) + 48*z(w)?\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 556 + -545. Solve -a - 2*t + 6 = 0, -3*a - 43 = -4*t - b for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + -1. Let o be (10\/3)\/((-2)\/3). What is the third biggest value in s, 0.1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of -c**5\/10 - c**3\/6 + 199*c**2 + 2. Let z(s) = -s**2. Give q(z(d)).\nAnswer: -6*d**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 8:22 PM?\nAnswer: 1:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3087 divided by -7?\nAnswer: -441","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 - -11. Suppose -q*i + 11 = -74. Is 8 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 8:47 PM?\nAnswer: 12:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 152 - 141.7. Let c = g + -10.8. What is the nearest to 0 in -2, c, -3\/4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*k**2 - 4*k**3 + 10*k**2 + 1 - 2*k - 4*k**2 as p + r*k + b*k**3 + y*k**2 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 PM and 8:50 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 - 22 - k**2 + 43.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 90\/(-330)*29\/(-87)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4243516 + 3?\nAnswer: -4243513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26 + -8. Suppose -w + 1 = 2*h - 2, k = 3*h - 3*w. Suppose 3*t = -3*i + 6, 2*i + 8*t = 3*t + 13. Sort i, h, -4 in decreasing order.\nAnswer: h, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2688, 2639, 2508, 2253, 1832, 1203?\n\"Answer: -7*b**3 + b**2 - 3*b + 2697","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 31*h - 197 - 51. Suppose h*g + 7 = g. Put -16, -9, g, 1 in decreasing order.\nAnswer: 1, g, -9, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/(-5)*((-45)\/(-2))\/3. Solve s - t = -3*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*q + 42*q + 52*q - 116*q.\nAnswer: 15*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 680 and 207995.\nAnswer: 1663960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = o - 9747, 25*o - 22*o + j - 29225 = 0. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 10, 75, 248, 583, 1134?\n\"Answer: 9*n**3 + 2*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l + 2 = -3*o, 5*l - 2*l = -3*o - 12 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 4*l - 4. Let q be a(-7). Let j(g) = 12*g**2 - 32*g - 12. Let w(z) = z**2 - 3*z - 1. Let d(p) = q*w(p) + 3*j(p). Factor d(c).\nAnswer: 4*(c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 958 is divided by 455.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z - 2*g + 4, 0*z + 2*g = 2*z - 16. Let f be 1*1*z\/(-1). Let j be f - (1 + 3 + -2). Let k(x) = -x**3 - 6*x**2 + 9*x + 10. Determine k(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*x - 3)*(1 + 2 - 2 - x)*(-2*x**3 + 0*x**2 + 0*x**2).\nAnswer: 4*x**5 - 4*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of z**6\/90 + 16*z**3 + 47. Let t(q) be the third derivative of r(q). Let d(y) = 21*y. Give d(t(l)).\nAnswer: 84*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-574)\/70 - -10)\/((-3)\/20)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, -3, -14, -25, -36?\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12)\/(-20)*(-2 + 7). Suppose -10*c = -9*c - m + 12, 0 = -2*c - 3*m + 11. Sort 5, o, 1, c.\nAnswer: c, 1, o, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 11205345868 and -0.14.\nAnswer: 11205345867.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.5 - 0.4. Let h = 25.8 + -16. Let a = h - 10. Are z and a unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5091026 to the nearest integer?\nAnswer: 2256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1292314615 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 581*a - 577*a - 4*s, 8 = -2*a + s for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1219?\nAnswer: 23, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 506028197*x - 506028197*x - x**2.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 275002657 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -131300 + -13?\nAnswer: -131313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 3*w + 15 = 0, -4*d - 120*w + 45 = -119*w. What is the remainder when 2397 is divided by d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 + 8*p**2 + 7*p + 24. Let d be r(-6). Suppose -z = 27 - d. Solve -2*y - z = 2*y - 5*q, 9 = 3*q for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23236 and 12227945.\nAnswer: 5809","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/33 + 538\/6 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r + 8. Let x be k(-12). Let a(h) = h**3 + 17*h**2 + 48*h + 24. Let b be a(-15). What is the tens digit of (b\/24)\/(1\/x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -25*i**3 + 104*i**2 - 160*i + 579. Give w(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 89688 and 84?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18791 + 8.62427.\nAnswer: 18799.62427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4046419?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -50, -12, -10, 4, 0.\nAnswer: -50, -12, -10, -5, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*i - 7*i = -36*i + 162640. What are the prime factors of i?\nAnswer: 5, 19, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/9 - 1\/3*m**2 - 1\/9*m + 1\/9*m**3 + 1\/9*m**4.\nAnswer: (m - 1)**2*(m + 1)*(m + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 532553926 to the nearest integer?\nAnswer: 811","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60*l - 57*l - 24*l.\nAnswer: -21*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -19. Let z(y) = -217*y + 76. Let x(h) = -4*w(h) - z(h). Let l(i) = -4*i. Calculate l(x(k)).\nAnswer: -868*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -3*x**2 - 24*x + 30. Calculate h(-9).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -552 - -853. List the prime factors of f.\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58177 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1179131, 1179142, 1179157, 1179176, 1179199?\nAnswer: 1179226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 + 21*v**2 - 105*v - 31. Give r(12).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*j**5 - 1800*j**4 - 143920*j**3 + 302320*j**2 + 575760*j - 1180480 = 0. Calculate j.\nAnswer: -238, -124, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the third derivative of -c**5\/60 - 3*c**4\/8 + c**3\/3 - c**2. Is m(-9) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 2*m + 275 = -q, 0 = 4*q + 3*m + 366. Is (-27)\/(-45)*(2 - q) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 7. Let n be -3*w*(-2 - -3). Factor 3*u**n + 0 + 0 - 2*u - u**3.\nAnswer: 2*u*(u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 minutes after 6:44 AM?\nAnswer: 10:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2. Let y(g) be the first derivative of 0*g - 1\/24*g**5 + 0*g**4 + 4 + 0*g**2 + g**3. Let k(q) be the third derivative of y(q). What is p(k(h))?\nAnswer: -25*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7871116 + 4027970. Let l = -2143146 - s. Suppose -3*o = -o + l. Round o to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hddfhdfhhdh. What is prob of picking 2 h and 1 f?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (46 - 51) + -99 - -34.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/5 (b) -0.2 (c) 20.7 (d) 0.4 (e) 3 (f) -40\/17\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.547 (b) -4 (c) 3 (d) 0 (e) -22 (f) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9851 - 1918. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*y = -1670 - 1941. What is the remainder when y is divided by 40?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 11*u + 76 = 14*u, 0 = 5*g + 3*u - 308. What is the remainder when 293 is divided by g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (0 - 2)*4 + 0. Let b be (-43)\/f - 1 - 4. Is b at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 5:22 PM?\nAnswer: 4:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -19641557 from 11615.\nAnswer: 19653172","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28 and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4 - 2 - 3)*(-m**3 + 1 - 1) - 113463*m**3 + 56735*m**3 - 1555*m + 56730*m**3 to the form a*m**3 + p*m + f*m**2 + k and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 0 (b) 1 (c) 0.2 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 11 = -n - 2*s, -3 = 2*n - s. Suppose n*o = 5*o - 20. Suppose -3 + 19 = o*x, -2*x = -4*v + 44. What is the greatest common factor of 39 and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -1 (c) -16878.9 (d) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 4*s**3 + 4*s**2 - 3*s. Let c(z) = -z**3 - 5*z**2 + 7*z + 8. Let t be c(-6). Let f be b(t). What is the greatest common divisor of f and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 - a**2 - 33*a - 7. Is u(8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*(j\/((j\/(j**(8\/11)\/j))\/j))\/j*j**(-2\/35)*(j*(j\/(j**(-1)\/j))\/j*j)**30 assuming j is positive.\nAnswer: j**(46458\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 2*r + 18. Let y(t) = -8*t**2 - 2*t - 2. Let z be -2*-1*2\/(-4). Let b be y(z). Let k be x(b). Calculate the greatest common factor of k and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2405a + -4?\nAnswer: 24056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -129926, -259860, -389794, -519728, -649662, -779596?\nAnswer: -909530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 + 10*x - 1. Let h be (6 + -7)*(0 - 8). What is the tens digit of f(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*-6*(-14)\/(-84)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2*c**2 + 66*c - 118. Let w be d(31). Let m(b) be the second derivative of -w*b**2 + 0 - 8\/3*b**3 + b - 1\/3*b**4. Factor m(n).\nAnswer: -4*(n + 1)*(n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that 3*n**3\/7 + 1308*n**2\/7 - 166245*n\/7 + 23562 = 0.\nAnswer: -539, 1, 102","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z**2 - 4*z - 13. Let r be y(-3). Let j = 72 - r. Is 11 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1876837 or 1876835?\nAnswer: 1876837","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of -11\/4*h**4 + 2\/3*h**3 + 3\/2*h**2 - h + 265. Let a(f) = -21*f**3 + 4*f**2 + 5*f - 1. What is 3*a(n) - 5*k(n)?\nAnswer: -8*n**3 + 2*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 5*n + 92 = 0, -3*x + 4*x + 2 = 5*n. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/13056 and -103\/544.\nAnswer: 13056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 3*w**5\/8 - 27*w**4\/4 + 183*w**3\/8 + 135*w**2\/2 + 75*w\/2 = 0.\nAnswer: -1, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {r: 4, n: 1, p: 1, e: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -14316 less than -14316?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 6*g - 4. Let m(f) = -3*f + 2. Suppose 0 = -2*u - 4*u - 30. What is u*m(w) - 3*x(w)?\nAnswer: -3*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + 2. Let a be g*((-1 - -1) + 2). Suppose a*u = -0*u - 2. Which is smaller: u or 0?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 1:44 AM?\nAnswer: 5:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ekeeekeeke. Give prob of sequence eee.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 27382.49um?\nAnswer: 2.738249","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + (6 + -18 - -18)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4 - 0)*4\/8. Suppose -5*j - 15 = -5*b - 0*j, -6 = g*b + 2*j. Suppose -z - 4*z = b. Sort 2, 1, z in ascending order.\nAnswer: z, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 69.46497 kilograms to tonnes.\nAnswer: 0.06946497","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.2 and 5?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.325399 decades to years.\nAnswer: 83.25399","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0205 rounded to two dps?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1591, 1592, 1591, 1588, 1583?\n\"Answer: -b**2 + 4*b + 1588","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -2*m - 4*s - 1, 5*m = 3*s + 31 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 0 + sqrt(252))**2 + (sqrt(56) - (sqrt(112)\/(sqrt(2) - (sqrt(32) - sqrt(2))) - sqrt(56)))\/sqrt(8).\nAnswer: -67*sqrt(7)\/2 + 261","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -116 - -163. Calculate the remainder when p is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-222)\/185)\/(4\/90*-3). Suppose 9 = w*r - 9. Solve -6 = -r*k - 4 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 133550?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, -37\/5, 25, -0.2, -27, 5 in decreasing order.\nAnswer: 25, 5, 1\/5, -0.2, -37\/5, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**2 + 17*k - 52. Let y be r(13). Let g(x) be the first derivative of 5\/4*x**4 - 4 + y*x**2 + 0*x**3 - x. Differentiate g(f) wrt f.\nAnswer: 15*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1406 is divided by 67.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000176696075 to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - 2*o**2 + o - 2. Let u = 245 - 242. What is a(u)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/46 and -95\/3899344.\nAnswer: 89684912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jpuupupuuupupppj. Give prob of sequence jjpp.\nAnswer: 1\/520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -750*m - 3 - 79 + 58 + 227 wrt m?\nAnswer: -750","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seventy-three fifths of a microgram?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 8*f. Let p(l) = f*l**2 + 2*l**2 - 5*l**3 - 4 - l + 3. Is p(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/120 and 33\/15880.\nAnswer: 47640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-330)\/(-25))\/11*20\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b**(-2\/5)*b)**46*b*b*((b\/b**(-4\/5))\/b*b)\/b*b*(b*(((b*b\/(b\/b**(-9))*b)\/b)\/b)\/b)\/b assuming b is positive.\nAnswer: b**(567\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*y - 10*y**2 + 27 + 2*y**2 - 11*y to z + o*y**2 + g*y and give z.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Expand (49*m**3 + 85 - 85)*(0*m + m + 3*m) + (m - 15*m + 6*m)*(0*m**3 - 3*m**3 + 5*m**3).\nAnswer: 180*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (3 + 2) - (-1 - (1 + -2))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 1530, -5, -7708 in decreasing order.\nAnswer: 1530, 1, -5, -7708","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1\/3, 42.\nAnswer: -1, -1\/3, 42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z + 2*z = 36. Put 0, 11, z in ascending order.\nAnswer: 0, z, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r = 4*r + 13*p - 100, -2*p + 1790 - 1788 = -4*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 43841914?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.314 (b) -2\/11 (c) 22\/31 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 52227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 426*l + 209 = 445*l for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1626662891 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 2\/13, 7, 2\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 968 + -966. Solve 4*g - 4 = q*o + 6, 3 = -g - 5*o for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -59 (b) -5 (c) -1\/351 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -2\/9, 7178, 3, 0.8543 in ascending order.\nAnswer: -2\/9, 0.5, 0.8543, 3, 7178","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1339 and 17201?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-4968)\/207)\/4)\/(3*4\/(-10))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -798 or 6?\nAnswer: -798","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 84\/18*(-234)\/(-91).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 9:31 PM?\nAnswer: 6:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 0.03, -5\/1673, 2\/7, -0.4, 6\/11, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -4*x + 2, -5*w + 541 = -x + 525. Solve 0 = -k + 4*k - w, 4*l + 20 = 4*k for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -23*d + 2919. Let h = 44 + -21. What is the remainder when a(121) is divided by h?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -r + 1879 + 1304, r - 3183 = 3*w. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 1248 = -3*j, -3*j + 1061 + 211 = -5*s. Suppose j = -5*u - 2571. Let l = -12079\/20 - u. Calculate the common denominator of 85\/18 and l.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5\/3 - -4\/3. Sort u, 0, 4 in descending order.\nAnswer: 4, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -64\/77 and -48\/319?\nAnswer: 2233","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*d + 17*d - 6*d + 6*d.\nAnswer: 21*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 2*d**2 - 12*d - 7. What is the lowest common multiple of 8 and i(7)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 9693 = 2*b - 19332, -4*y + 2*b = -23220. What are the prime factors of y?\nAnswer: 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k\/(k\/(k\/(k\/((k\/k**29)\/k)))))\/k)\/k*k\/(k*k*k**(2\/3)))\/(k**4*(k*k**29)\/k) assuming k is positive.\nAnswer: k**(-197\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d - 1. Let g(b) = -3*b - 3. Let i(w) = 4*c(w) - g(w). What is i(2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 - 30*o**2 + 9*o - 177. Give k(30).\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 AM and 12:48 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3*m = -0*w - 1, 0 = -5*w + 2*m + 18. Suppose 5*u - 3*i = 2*i - 5, -w*u + i + 8 = 0. Solve 4*j - u = 9 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 89*(-73)\/(-51976)*(-416)\/2\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t**4 - 1 + 1)*(-2*t + 6*t - 2*t) + (-2*t**3 - 4 + 4)*(-6*t**2 + 2*t**2 + 2*t**2).\nAnswer: -2*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -104000637 bigger than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 191467317?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 152048926063.4000044 - 152049309957.3. Let a = c + 383894. Let r = -0.1 + a. Round r to 6 decimal places.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.1404 to one decimal place.\nAnswer: -6.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -46, -38, -30, -22?\n\"Answer: 8*v - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17\/(-2) - (-4 + (-117)\/(-26)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8*3\/90*3. Let r be (15\/(-6))\/((-10)\/(-6)). What is the third smallest value in r, a, 2\/15?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25030149329 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 275417804 divided by 68854451.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -43098912 by 3.\nAnswer: -14366304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -93740 * 0.3636.\nAnswer: -34083.864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1089165 and 777975?\nAnswer: 5445825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26426?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2632 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 310*n - 15886. What is k(51)?\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1663, 3\/4 in ascending order.\nAnswer: 3\/4, 3, 1663","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3343350250 to the nearest integer?\nAnswer: 1495","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -248276520 by -22247.\nAnswer: 11160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13\/9 + -10\/9. Which is the third smallest value? (a) 1 (b) -0.2 (c) 0.3 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -83.7 + 1.7. Let m = -65 - f. Which is smaller: 1\/4 or m?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a millisecond in nanoseconds?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1130?\nAnswer: 2, 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * -0.334\nAnswer: 0.167","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -68.38\nAnswer: 6.838","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + 4)*(2 - 2 + 2*d) - 2*d + d + 4*d - 2*d - 2*d + d to z*d + o and give z.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3133 (base 4) to base 11.\nAnswer: -193","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 74 and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0113368 rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -2\/11 (b) -1 (c) -0.032 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 2178147411?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqtqhbtmq. What is prob of picking 1 t and 1 b?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -587 + 1525. Let p = x - 3815\/4. Calculate the common denominator of 17\/2 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8127\/156735*(-6)\/7?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-95)\/(-30))\/(9\/54) is divided by (-2)\/(-10) + (-76)\/(-20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -63*r**2 - 101*r**2 - 61*r**5 - 12*r**5 + 528*r**3 - 1047*r**3 - r + 522*r**3 wrt r?\nAnswer: -4380*r**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m + 3*w - 18, 0 = -m + 6*m + w - 22. Let c be 4\/(1 + 4\/m). Factor 0 + 1\/3*h**c + 0*h + 4\/3*h**3.\nAnswer: h**2*(4*h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 11:46 PM?\nAnswer: 8:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -3*n**3 - 1. Let j be z(-1). Let s be (j - (1 - -1)) + -1. Let y = 0.3 + -0.1. Is s bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, d: 2, l: 2, v: 2}. Give prob of picking 2 l and 1 g.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -5375*x**2. Let w(a) = 2*a**2. What is w(z(k))?\nAnswer: 57781250*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*d**2 - 3941 + 3941 - 32*d)*(-5*d + 5*d + 36*d**2).\nAnswer: -72*d**4 - 1152*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4.1 (b) -2\/65 (c) -1\/11 (d) 0.3 (e) 3.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 3*r + 9 = 0. Suppose -4 = p + r*p. Suppose o + 0*o = 0. Which is bigger: p or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of -4\/21*h**3 + 1\/210*h**6 + 0 + 6*h - 2\/7*h**2 - 1\/28*h**4 + 1\/70*h**5. Factor o(s).\nAnswer: (s - 2)*(s + 1)**2*(s + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 5\/(-10)*(-8)\/2. Let j(x) = -g*x - 5*x**2 - 20 + 0*x + 25 - x**3. List the prime factors of j(-6).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 379 - 378.3. Put 2\/3, -3, 0, r in decreasing order.\nAnswer: r, 2\/3, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of c + c**3 + 1\/4*c**4 - 14 + 3\/2*c**2. Solve r(w) = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 4*h**3 - 6*h**2 + 6*h + 5. Let g = -12 + 16. Suppose 9 = -g*v - 11. Let a(x) = -3*x**3 + 5*x**2 - 5*x - 4. Determine v*m(d) - 6*a(d).\nAnswer: -2*d**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 6) to base 3\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v*v**(-5)))\/v*v**9)**45)**28 assuming v is positive.\nAnswer: v**16380","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + -3)*-1 - (-18 - -6 - -25).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 29 = -0*z - p, 3*z - 3*p = 39. Let u be (-6)\/z - (-57)\/133. Sort -0.4, u, -1\/13 in descending order.\nAnswer: u, -1\/13, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -42186 divided by -14062\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -18*a + 29 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -26641 + 55528. Let l be d\/(-2)*(-275)\/750. Let q = -5291 + l. Calculate the common denominator of q and -49\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1857 + -1847.83. What is l rounded to 1 decimal place?\nAnswer: 9.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/(-21) - 12\/18. Let j = -11\/3 - -4. What is the smallest value in j, 0.5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -104 (b) -1 (c) 1\/4 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from asswaaliilwalaaiilaa. What is prob of picking 2 w?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -20879*c - 9103257. Calculate j(-436).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 18 + 2)*(3 - 3 - 3*r).\nAnswer: 39*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 68 + -66. Let p(a) = 7*a**2 - 9*a + 7. Let f(k) = k**2 + k - 1. Let z(n) = r*p(n) + 18*f(n). Differentiate z(v) wrt v.\nAnswer: 64*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8768*a*s**2 - 8701*s**2 wrt a?\nAnswer: 8768*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35 and 824449570.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 53*j**2 - 2*j - 1. Let l be b(2). Suppose -18 = -d + l. Does 25 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y**2 - 8*y + 68. Let j be i(6). Which is smaller: j or -9?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*z - 411 = -2407 - 1449 for z.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 4*t**5\/5 + 8*t**4 - 12*t**3\/5 - 112*t**2\/5 + 16*t = 0.\nAnswer: -10, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8*n**3 - 6 + 3 + 0*n**3 - 10 wrt n.\nAnswer: -24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.13 * -128.082\nAnswer: -16.65066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1729, 1728, 1727, 1726, 1725, 1724?\nAnswer: 1723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 53131640 divided by 26565820\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -16*c**5 + 8800*c**4 - 1183252*c**3 - 7372364*c**2 - 6600832*c + 15147664 = 0. What is c?\nAnswer: -7\/2, 1, 278","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*u**2 + 3*u**3 - 5*u**3 - 5*u**3 to d*u + a + g*u**3 + w*u**2 and give g.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 - 34*c**2 + 2*c + 70. Let f be w(-34). Suppose 33 = -4*d + 113. Calculate the highest common factor of d and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c**2 + 5547*c + 11092. Give x(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 2*f**3 + 3*f - 3. Suppose 8*d = -2*d + 2*d - 24. Let x(g) = g**2 - 1. Give d*x(t) + s(t).\nAnswer: 2*t**3 - 3*t**2 + 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12314*n**2 - 12262*n + 52.\nAnswer: -2*(n + 1)*(6157*n - 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ckkk when four letters picked without replacement from ckkrkccrcrk?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -4. Suppose m - 6 = -m. Let x be ((-12)\/14)\/m*n. Which is greater: -1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1213, -4573, -10165, -17983, -28021, -40273, -54733?\nAnswer: -71395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9876 - 9879. Suppose 2*j + 3*j = -2*l - 21, -24 = -2*l + 4*j. Let s be 3\/(-2) - (l + n). Is -7 greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*f - 15*f + f - f**2 + 0*f**2 in the form j*f + o + h*f**2 and give j.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 - 3*x + 13. Let s(z) = -z**3 - 4*z**2 - 2*z + 2. Let k be s(1). Let h be b(k). What is the second smallest value in -0.01, h, 0.14?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*q + 15*q + 26*q)*(q**2 + q**2 - 5*q**2).\nAnswer: -102*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4222831 and 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 466*t**4 - 237*t**4 - 2 + 60*t**3 - 237*t**4 to s*t + a*t**2 + w*t**3 + l*t**4 + x and give w.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*k**3 - 113*k + 14*k + 74*k + 6*k**3 + 25*k.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 4*n = -23, -l + 3*n = l - 12. Suppose -l*p + 1 + 8 = 0. Suppose p*k - 3 = -2*s + 1, -2*s = -4*k - 32. Is s < 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155*l - 35*l + 1843 = 403 for l.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -829.8 + 4865.8. Let b = f - 4035.9995082. Round b to 5 dps.\nAnswer: 0.00049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -15174432*j**2. Let i(s) = 20*s. Give i(o(w)).\nAnswer: -303488640*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (120\/(-16) - -10)\/(2\/10*(-685)\/5206)?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 2*q + 8. Let r be t(4). Solve 2*m = 6*m + r for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-61*m + 123*m - 60*m + 29)*(m - 4*m + 4*m) + (-2 + 5 - 1)*(-2*m**2 + 3*m**2 + 0*m**2).\nAnswer: 4*m**2 + 29*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 2*b - 8, 3*b - b = 0. Suppose 2*q - 86 = -3*t + 451, 0 = -x*q - 4*t + 1084. Does 21 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 + 2*t + 3. Let j = -143 + 17. Let c = j + 137. Calculate the lowest common multiple of h(-3) and c.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -7, -0.1, 5, -6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 15, -3*b + 2*b + x - 18 = 0. Let c(q) = -3*q + 10. What are the prime factors of c(b)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/40 and 11\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-30) + (-18)\/10. Let t be 2 - -6 - (i - -1). Solve 19 = 4*h - 4*p - t, -4*h + 3*p = -26 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.6 - 2.9. Which is the second biggest value? (a) -4\/5 (b) n (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 8 + 27. Let r(h) = -t*h**2 + h + 2*h + 8*h**2. Let w be r(-3). Sort -4, w, 1 in descending order.\nAnswer: 1, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7214 + 15009. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - 4)*(-3 - -2). Suppose -b*o = -o. Does 0.13 = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1148508, 2297124, 3445740?\nAnswer: 4594356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide (-1)\/(-2) - (-4164)\/24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 4*m**2 + 3*m + 3. Let w be k(-1). Suppose -5*b + 81 = -w*b. Suppose -c + 99 = 5*d, c - 5*d + d - b = 0. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = g - 3, 2*b = -5*g + 27. Let a(q) = -6*q**3 + 6*q**2 + q + 5. Let l be a(0). Solve l = -m + b for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/15 and 8\/4737.\nAnswer: 23685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 20 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -136*c + 6*c + 173030 = 0. Is 1333 greater than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**3 - 81*d**2 + 450*d + 2. Let f be p(75). Solve f*v + 2*w + 4 = 0, 6*w - 11*w - 14 = 4*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l**3 - 386*l**2 + 413*l + 4760. Calculate m(-194).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1 - r**4 - 27*r + 0 + 155*r**4 - 2 + 37*r**4 wrt r.\nAnswer: 2292*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -94*x + 5340. Determine n(53).\nAnswer: 358","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(1377) - (sqrt(272) + 2)**2) + -4 + 0)*2.\nAnswer: -560 - 122*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 43*h + 45*h - 539 = 0, -5*v = -5*h - 595. Calculate the remainder when 130 is divided by v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 330199956?\nAnswer: 2, 3, 1531, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do 45567 and 45567 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u + 40 = 5*u. Let z = u - -66. List the prime factors of z.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 m when two letters picked without replacement from {u: 1, r: 4, l: 2, m: 2}.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b**4 - 17737*b**3 - 743778*b**2 - 10407404*b - 48555080 = 0.\nAnswer: -17695, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -373 + 377. Solve -4*u + i*q - 4 = 0, 4*q = -4*u + q - 25 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/29212 and 19\/1474.\nAnswer: 321332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifty-five thirds of a decade?\nAnswer: 2200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 61409377?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 PM and 9:21 PM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 AM and 8:17 AM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -155*l**3 - 7*l**2 - 45*l - 218. Is s(-4) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2939881?\nAnswer: 7, 457, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -4*y**2 + 6*y + 18. Let h(b) = b**2 + b - 1. Let s(k) = 5*h(k) + v(k). Let q be s(-10). Differentiate -q - 3 - 1 + 0 + 13*n**3 wrt n.\nAnswer: 39*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5690 + 5683. Let q(m) = -11*m - 37*m**2 + 16*m**2 - 14 + 11*m**2 + 9*m**2. Give q(a).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 19, 1\/42, 2 in decreasing order.\nAnswer: 19, 4, 2, 1\/42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 112*y**2 + 6*y + y - 7*y**2 - y = 0.\nAnswer: -2\/35, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 95 - 93. Solve -2*z = p*z + 8 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1656309681.\nAnswer: 3, 13, 362987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 12 = 3*r, 1344*r + 22 = -4*a + 1342*r for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 19*v + 41. Calculate s(5).\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1150 (base 9) to base 7\nAnswer: 2331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.3344 - 2.3234. Let a = -0.011 + z. What is the closest to -1\/5 in a, -2\/13, 0?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of c**3*h**2*i + 2*c**3*i**3 + 92*c**3*i + c*h*i**3 - 2875*h**2*i**3 - 2*i**3 wrt h?\nAnswer: 2*c**3*i - 5750*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 48409 + -532469\/11. Find q such that -v*q + 4\/11*q**2 + 14\/11*q**4 + 28\/11*q**3 - 18\/11 + 2\/11*q**5 = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -1797*j**2 + 25*j - 5. Let l(o) = -1797*o**2 + 30*o - 6. What is 5*l(v) - 6*t(v)?\nAnswer: 1797*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = 3*z + 9 - 3, -5*z - 10 = 3*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 44 - 44. Put 3, -3, g in decreasing order.\nAnswer: 3, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + 16)\/(3 + -2). Let o = 21 - l. Let f(r) = -r + 7. Calculate f(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 68*o + 11. Is v(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7460*i**3 - 10124831*i**2 + 10124831*i**2 + (3*i**2 + i**2 - 2*i**2)*(-i - 2*i + 2*i) in the form d + y*i**2 + r*i + q*i**3 and give q.\nAnswer: -7462","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 6 + -28 + 49\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) -0.3 (b) 3 (c) -4 (d) 1\/4 (e) 31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 - 4*u**2 - 3*u + 8. Let h be b(-5). Calculate the highest common factor of h and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7847276.\nAnswer: 2, 1961819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/6782724 and 139\/1482.\nAnswer: 128871756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 14 = 64. Let l = m + -14. Which is the nearest to 1? (a) -1\/7 (b) l (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.323 minus 7?\nAnswer: -12.323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1.924, -2\/11, -2, 0.02, 1\/4?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, 3, 16, 117, 5 in increasing order.\nAnswer: -4, -3, 3, 5, 16, 117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/27436 and -79\/22?\nAnswer: 301796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 540*l**3 - 2*l**2 + 11931*l - 11928. Determine d(1).\nAnswer: 541","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 202*b**2 + 12*b - 12. Let j be u(7). Suppose r - 11*r = -j. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1324 (base 10) to base 11.\nAnswer: aa4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -88 and -1152\/13 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 r when two letters picked without replacement from hqgeeglhglrqqh?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -3*u - 54, -3*z - 3*u + 25 = -5. Suppose 3*y = 74 - z. Suppose -64 - y = -c. What are the prime factors of c?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 293, 259, 217, 173, 133, 103?\n\"Answer: b**3 - 10*b**2 - 11*b + 313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -48, -78, -124, -186, -264, -358?\n\"Answer: -8*w**2 - 6*w - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23 + 35. Suppose -3*a + 9 = -z. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -5*o + 5889, 2689 = 2*t + 2*o - 1237. Does 50 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 9, 2, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/90)\/((31*(-27)\/(-73656))\/((-33)\/(-176))).\nAnswer: 22\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -117 - -114. Let l = -5.1 - -1.2. Let i = 0.1 - l. What is the nearest to 0.1 in 0, i, v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of r**5\/60 - 2*r**2. Suppose 11 = 10*s + 11. Let a(p) = 6*p + s*p + 4*p - 9*p. Determine x(a(o)).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**0*i)\/(i*i**(-2\/3)))**(-1\/13) assuming i is positive.\nAnswer: i**(-2\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 125 + -85. Suppose 3*k = -3*t + 66, 4*t = 3*k + 128 - f. Is t a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19 - 17) + (2 - 2) + -3.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -30122513 + -223?\nAnswer: -30123140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 12) + 5 - -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Do 39\/298 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 358477, 6 in descending order.\nAnswer: 358477, 6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y + 35. Let b(v) = 2*v + 36. Suppose -9*j + 21 = -2*j. Let l(h) = j*z(h) - 2*b(h). What is the tens digit of l(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 842637.6 micrograms?\nAnswer: 0.0008426376","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -2 (c) -0.2 (d) -2\/16833\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (179*z - 154*z + 98*z)*(2 + 2 + 0)*(28 - 28 - 12*z).\nAnswer: -5904*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 73.82 + -73. What is u rounded to one decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300) - (0 + sqrt(300))*-4 - (sqrt(300) + 5 + sqrt(300)*1 - sqrt(300)))**2.\nAnswer: -400*sqrt(3) + 4825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 20 (b) 2\/19 (c) -4 (d) 3\/2 (e) 2 (f) -5\/41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/16 of a hour in seconds?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.263 to 2 decimal places.\nAnswer: 1.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3661 divided by 4.\nAnswer: -3661\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 120, 168, 246, 354?\nAnswer: 492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the first derivative of -12*r**3 + 499. Let k(y) = y. Let i(a) = -5*a. Let b(f) = i(f) + 4*k(f). Give b(p(d)).\nAnswer: 36*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -70 + 351\/5. Let g = -15.7 + 15.8. What is the nearest to g in o, 1, -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25151605 (base 7) to base 4\nAnswer: -20220323101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s**2 + 0*s**2 + s**3)*(11 + 4 - 13)*(-15*s - 14*s + 3*s).\nAnswer: -52*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 2\/7, 0.2, -1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (10 - -23) + (-7 - -10) - -10\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = 4*q + 48, 0*d = -5*d - 3*q - 51. Let j = 2 + -5. Let n = j - d. Is n a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 552 and 3056.\nAnswer: 210864","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/22740 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -38, -145, -332, -605, -970, -1433?\n\"Answer: -w**3 - 34*w**2 + 2*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4550 a multiple of 91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a factor of 6466840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12*37\/5920*10?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of -2*q**6\/105 + 4*q**5\/7 - 50*q**4\/7 + 1000*q**3\/21 - 1250*q**2\/7 - 7*q. Factor t(h).\nAnswer: -4*(h - 5)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + -21?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 379816 a multiple of 482?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 11*n**2 - 3*n + 3. Let p(r) = 11*r**2 - 4*r + 4. Let g(j) = 4*b(j) - 3*p(j). Let f(d) = 3*d + 10*d - 4*d - 13*d. What is g(f(s))?\nAnswer: 176*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 4.129389 micrometers?\nAnswer: 0.000004129389","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-49 - 54 - 24)*(11*l + 2 - 18*l + 3*l).\nAnswer: 508*l - 254","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 30617 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 68.81707\nAnswer: 27.526828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 802 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35, 99, 153, 191, 207, 195?\nAnswer: 149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 4 + (-1 + 3 + 2 + (sqrt(304) + -1 - sqrt(304)))**2 + 2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 7*y**2 + 14*y - 14. Let p(r) = -2*r**2 - 5*r + 5. Calculate 14*p(x) + 5*u(x).\nAnswer: 7*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 44*o**2 - 1151*o - 843*o + 41339 - 4*o**3 - 41339 + 5*o**3 wrt o?\nAnswer: 6*o + 88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/i**(2\/3)))**(-7\/10)*i**(1\/19)*i**14 assuming i is positive.\nAnswer: i**(3872\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k + 4*w = -5*k + 6401, -5*w = -2*k + 2567. Calculate the highest common factor of 7 and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-18)\/(-60))\/(6\/(-16)). Let w = 14 + -14.7. Let k = w - 0.3. Which is the second biggest value? (a) u (b) k (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3742056 divided by 1871028.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1876811?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m - 6. Suppose 2*h - 6 - 2 = 0. Let q be u(h). Sort q, -1, 5 in decreasing order.\nAnswer: 5, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 2*l = -v + 99, -4*l = -36. Suppose 2*k - 33 = 3*h, 5*k - 102 = h - 0*h. Calculate the highest common divisor of v and k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -74, 0, -2 in decreasing order.\nAnswer: 5, 0, -2, -74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28 by -2927321.\nAnswer: 28\/2927321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*(v**7*v)\/v*v**2)**(2\/41)\/(((v*v*v**(-3\/10)\/v)\/v**5)\/(v**(-1\/3))**(5\/4)) assuming v is positive.\nAnswer: v**(10753\/2460)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -17*u**3 + 17*u**2 + 13*u + 13. Let z(t) = 8*t**3 - 9*t**2 - 6*t - 6. What is 6*w(o) + 13*z(o)?\nAnswer: 2*o**3 - 15*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 56 = 4*f, -2*m + 263576*f = 263573*f - 42 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tggtlglppltp. Give prob of sequence glpp.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -14 + (2 + -2 - 2 - -3).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*c = -6*c - 28. Suppose c*z - v = 2*v + 335, 75 = z + v. Calculate the lowest common multiple of z and 48.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 - 13*o**2 - 7*o + 112. Calculate d(13).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 265*i**2 - 173. Let p(x) = 2*x**2. Let v(k) = 2*p(k) - t(k). What is the first derivative of v(j) wrt j?\nAnswer: -522*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 0.1017, -1\/6, 1, 0.2, -0.01?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 3*q - 34 = 0, -5*o + 7*q + 11993 = 12055 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 104920?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 20*g - 22. What are the prime factors of m(3)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-650) + 0 - (126 - (-204880)\/(-1625))?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1909248 and 408608.\nAnswer: 3616","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*p\/(p\/((p\/(p*p**(-1\/2)\/p)*p)\/p)))\/p*p)\/(p\/(p*(p\/(p\/(p\/p**8)))\/p)*p)*((p**1\/p)\/p)**(-39) assuming p is positive.\nAnswer: p**(67\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven sixths of a millennium?\nAnswer: 14000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mvt when three letters picked without replacement from {n: 2, k: 1, v: 6, t: 1, m: 3}.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -0.15\nAnswer: 0.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*d**2*o**3 - 9500961*d**2*o - 308*d*o**3 + 1650*o**3 + 2*o**2 wrt o?\nAnswer: 12*d**2 - 1848*d + 9900","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 0*o - 6*o + 5*o + 3*o. Let z(d) = 2*d**2 - 2*d. Let b(a) = a**2 - 3*a. Let f(y) = 2*b(y) - 3*z(y). What is t(f(r))?\nAnswer: -8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/((h**(-1\/2)\/h)\/h))**(-8\/7)\/((h\/(h*h**6))\/(h\/((h**(-6)\/h)\/h))))**(-1\/14) assuming h is positive.\nAnswer: h**(-11\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 - (10 - 29 - 7)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(1\/10)\/u*u*u)\/u)\/(u**23\/u*u) assuming u is positive.\nAnswer: u**(-229\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -50 divided by -195740\nAnswer: 5\/19574","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 63 (base 8) to base 5\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = 5*l + 4. Let p = 628\/7 - 90. Which is the nearest to p? (a) l (b) 0 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.4 + 2.4. Let a be -12*(4\/(-6) - 0). Let c be (-4)\/(-2) - 13\/a. What is the biggest value in j, c, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 64*o**4 + 104*o**2 + 255*o - 62?\nAnswer: 768*o**2 + 208","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -7*p**2. Let o(q) = q**2 + 60*q + 322. Let j be o(-54). Let g(m) = 35*m**2 + 1. Determine j*g(d) - 11*r(d).\nAnswer: 7*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 AM and 5:42 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 170, 415, 732, 1121?\n\"Answer: 36*f**2 + 137*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 30*t - 278. Suppose 0 = 4*m - 3*x - 126, -12 + 16 = 2*x. List the prime factors of j(m).\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) - 6*(sqrt(84) + sqrt(84)*-3) - -4*-2*sqrt(84))\/(6*-5*-2*sqrt(1452)))**2 + -1.\nAnswer: -17417\/17424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11953 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16 + (-25 - -7) + 0 + -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -3*f**3 - 13*f**2. List the prime factors of x(-6).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 338*g**2 + 24. Let q(p) = -p**2 + 1. Determine -2*m(f) + 44*q(f).\nAnswer: -720*f**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c*(c*c**(-17)\/c)\/c)\/(c**(-2)\/c)*(c*c**(-6\/7)\/c)**(-6\/5) assuming c is positive.\nAnswer: c**(-419\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -28.23 + 28.03. Which is the closest to f? (a) 1 (b) 2\/9 (c) 25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 1 w when three letters picked without replacement from {p: 4, w: 3, h: 3, i: 1}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 14*x**6 - 129*x**3 + 15*x**2 + 129*x**3 wrt x?\nAnswer: 1680*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.339 rounded to one dp?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -2\/11, 3\/5, -4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 803*j + 892*j + 495*j - 4339*j - 1115 + 157*j wrt j?\nAnswer: -1992","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 - -4.88\nAnswer: -3.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 4, 147, 432, 859?\n\"Answer: 71*c**2 - 70*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22234 - 22234. Let v(x) be the first derivative of -1\/27*x**6 + 1\/9*x**4 + 0*x**3 - 1\/9*x**2 + k*x**5 + 0*x - 22. Factor v(a).\nAnswer: -2*a*(a - 1)**2*(a + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 22 - -36a?\nAnswer: 38c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*k**2 + 2*k**3 + 257 + 18*k - 19*k - k**3 - 3*k**2 as u + m*k + p*k**3 + z*k**2 and give u.\nAnswer: 257","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 14 = -0*o. Suppose 508 + 346 = o*d. Suppose 5*k - 91 = -x, -x - 15 = -3*k - d. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-61)\/(-7) + -3 + ((-5)\/(-20))\/((-2)\/32)\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4e076 + 3?\nAnswer: -4e073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41 is divided by 31?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2385 = 400*s - 8116 - 5869 for s.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.01 + -2.01. Let u = -15 + 17. Which is the closest to -1\/4? (a) -1 (b) f (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14713, -29406, -44099, -58792, -73485, -88178?\nAnswer: -102871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the second derivative of -9*k**3\/2 + 11*k**2\/2 + 8*k. Is v(-14) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 + 7*c - 60. Let l(y) = -y + 15. Let i(u) = -b(u) - 4*l(u). Let k(x) = -2*x**2 + 5*x. What is -5*i(h) - 3*k(h)?\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1057 + 1056. Suppose -2*h = -4*h + 4. Let s(p) = -p - 1. Let z(j) = -3. What is f*z(n) + h*s(n)?\nAnswer: -2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 3129 + 53*y - 3129 + 7*y - 2*y - 2*y + 1 + (y + 6*y - y)*(4 - 4 - 2) in the form f*y + c and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 84030 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 d = 45 - 43. Suppose d*m - 3*m = -62. Is 9 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 45475.38l?\nAnswer: 45475380","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of -m**3\/6 - m**2\/2 - 2*m - 12. Let g(o) = o + 2. Give -4*f(w) - 3*g(w).\nAnswer: w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 29968 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -75.2 - -75.26. Which is smaller: w or 20?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -n**2 + 235968*n**3 - 237218*n**3 + 13 + 9 - 6.\nAnswer: -1250*n**3 - n**2 + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of m**6\/195 - 3*m**5\/65 + 3*m**4\/26 - 5*m. Determine t so that w(t) = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -17, -30, -41, -50, -57, -62?\n\"Answer: m**2 - 16*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 554 - 267. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 5*k - 50, -3*n - 2*k + 14 = -k. Suppose -p + n = 3. Let y(h) = -417*h + 8. Let g(z) = -69*z + 1. Let o(j) = 6*g(j) - y(j). Give o(p).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3953476 days in minutes?\nAnswer: 569.300544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/20 and 17\/110.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 71, -219, 4 in descending order.\nAnswer: 71, 4, -219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 1 = -j. Let l = 99 - 95. What is the third biggest value in -1\/6, j, l?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -13*s**3 + s**2 - s - 1. Let m be x(1). Let i be (30\/(-25))\/((-2)\/(-40)). Let f = m - i. Does 5 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -337, -1290, -2867, -5062, -7869?\n\"Answer: i**3 - 318*i**2 - 6*i - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1105367?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (101*g - 153*g + 160*g - 7)*(0*g + 0*g + 5*g).\nAnswer: 540*g**2 - 35*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**(-1))**(-5\/11))**13*i**4\/i*i**2*i*(i**0)**(-1) assuming i is positive.\nAnswer: i**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -362*u**3 - 127123*u**2 + 2375*u - 34105 wrt u?\nAnswer: -2172*u - 254246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of 13*i - 11 + 1\/2*i**2. Give d(-16).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -21443341 - 10434?\nAnswer: -22004330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 8 = 45*n - 48*n, -2*r + 3*n + 4 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -106 or -109?\nAnswer: -109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 24093 - d**3 - 3*d**2 + 7*d - 2*d**3 - 24093. Is f(-4) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 126 and 12516.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.4994 - 2.5994. Let q = 11.282 + 0.018. Let y = t - q. What is y rounded to the nearest integer?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -r**3 - 9*r**2 - 9*r + 9. Is 2 a factor of g(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kyw when three letters picked without replacement from wkbywrkrrbwwrywrrbwy.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16324.\nAnswer: 2, 7, 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 0. Let h = 1\/38009 - 114031\/152036. What is the closest to 1 in h, 1\/2, v, 4\/9?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 12:37 AM?\nAnswer: 12:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 374 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - -19. Solve m - p = 6*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 182 + -186 - (12 - 0)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*r + 33*r + 572 = 0. Let p be (-2 + 3)*3 - 54. Let z = r - p. Which is the closest to 3? (a) -0.1 (b) z (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5196034 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t - 4*r + 162 = 138, 0 = -2*t - 5*r + 23 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 - 9 - -1) + -12 + -28 + -3?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 166 - 17. Let q = 42 + x. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 2:34 PM?\nAnswer: 6:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 65 - 26. Suppose -8*q + i = -1. Suppose 150 + 309 = 3*j + 2*f, 0 = -3*j + q*f + 480. List the prime factors of j.\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -3337*n + 160188. Calculate c(48).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (9 - 1 - 4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 61.026 - 0.026. Let q = -60.062 + 60. Let c = 1.062 + q. Is m less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/((-651)\/(-4))*(-651)\/186\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 89658.83ml to litres.\nAnswer: 89.65883","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 380 - 173 = -k, -5*k + 5*h + 2745 = 0. Let m = 2201 - k. List the prime factors of m.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 166\/(-368)*-6 - (42 - (-8949)\/(-228))\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 70 = -10*q, -5 = -2*q + 58*l - 57*l for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 866*y - 48499. Give f(56).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*w**3 + 1 - 9*w**3 - 5*w**3 - w**2 + 19*w**3 to i*w**3 + c*w + j*w**2 + x and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*u + 6*u - 7*u + 5*u to the form i*u + c and give i.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1106 + -60828\/55. What is the second biggest value in -4, w, 1\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -73, -152, -231, -310, -389, -468?\n\"Answer: -79*r + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in sixty-two thirds of a decade?\nAnswer: 2480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 928 + -1308. Let t = c + 382. Solve 0 = -a - p - 3, t*a + 3*a = p + 3 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-2\/29)*g*g**7)**(-17)*((g\/(g\/(g\/(g\/(g*g**4\/g*g)))))**(-12))**42 assuming g is positive.\nAnswer: g**(-77551\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.9 - 1.1. Let u = 13137 - 13133. Which is the third biggest value? (a) h (b) -0.1 (c) 1 (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 + 2*x**2 - x + 2. Let n be s(2). Suppose h = -n*g + g + 7, -2*h - 5*g = 0. What is the nearest to 1\/2 in h, -5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -6. Let w(r) = 1 - 7*r**v - 1 + 6*r**2. Let a(s) = s. Determine a(w(z)).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 683.8792um?\nAnswer: 0.0000006838792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -3*v**3 + 1498*v**2 - 500*v + 486. Give m(499).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 88878*a**6 - 135*a**3 - 8*a**2 + 699607*a.\nAnswer: 10665360*a**3 - 810","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 48*c + 2. Let x(s) = 768*s + 33. Let q(r) = -66*w(r) + 4*x(r). Let j(a) = 6*a. What is j(q(h))?\nAnswer: -576*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3013.\nAnswer: 23, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hz when two letters picked without replacement from {z: 10, h: 10}.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55829 is divided by 31.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 5*i, 0 = -j - i - i - 3. Sort j, 1, -17 in descending order.\nAnswer: 1, j, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13187.22 + -13352. What is v rounded to zero decimal places?\nAnswer: -165","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the first derivative of 0*a - 2\/3*a**3 - 1 + 0*a**2. Let t(i) = 4*i**2. Give t(o(u)).\nAnswer: 16*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (52\/2)\/(0 - -3 - 1). Solve -8*i = -t*i + 15 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -913618, -1827237, -2740856, -3654475, -4568094?\nAnswer: -5481713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2031333 - 12021301?\nAnswer: -20113300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 26801, -2\/7, -0.2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of u**4\/4 + u**3\/3 + u**2\/2 - 13*u + 2. Let c be y(0). Let p = -3 - c. Calculate the lowest common multiple of p and 1.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(1\/5))**(1\/10)*b\/(b\/((b\/b**(-8))\/b))*b**6*b*b assuming b is positive.\nAnswer: b**(801\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 - 94*b - 298. Give s(97).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*l + 3*w, -l + 7*w = -4*l + 2*w for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.805927*-67\nAnswer: 53.997109","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jl when two letters picked without replacement from {y: 8, l: 2, j: 5, u: 4}.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in nine tenths of a hour?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 968?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g**2 - 5*g + 26. Let s be h(-8). Suppose -2*u + 15 - 1 = 0. Let m be s*(u - 3\/1). Calculate the greatest common factor of 72 and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*-5*((sqrt(208)*3 + sqrt(208))**2*-6 - sqrt(208)) + (sqrt(208) + -2 + 1 - (-2*sqrt(208) + -2))**2.\nAnswer: 144*sqrt(13) + 600913","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1866990 is divided by 854.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.9 - -0.1. Let h = -124 + 124.1. Put j, -1, h in decreasing order.\nAnswer: j, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 37*j**2 + 119*j - 22. Let p(y) = -10*y**2 - 30*y + 6. Let l(b) = -6*m(b) - 22*p(b). Solve l(n) = 0 for n.\nAnswer: -27, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98174728.\nAnswer: 2, 17, 47, 15359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 3*c. Let a(f) be the first derivative of -f**3 + 2. Calculate a(j(b)).\nAnswer: -27*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from uulull?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -145\/12 and 113\/812?\nAnswer: 2436","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - -24)*((-2)\/(-2))\/1. Suppose -4*t - t + s = 0, -158 = -3*h - t. What is the greatest common divisor of 17 and h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.095 * 0.04235\nAnswer: -0.00402325","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 137041 and 97?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -6*t + 96. Suppose t*g = 21 + 63. Let w(c) = c**2 - 6*c - 3. Calculate w(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjwnwnjwnjjn. Give prob of picking 2 j.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/7, -3, 510?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -o**3 - 3*o**2 + 28*o = 0?\nAnswer: -7, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 - 2*f + 2. Let b(z) = z + 4. Let g be b(-3). Calculate the remainder when g*(3 - -18 - 0) is divided by i(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/(-18) + 1 - 13\/(-3). Sort -6, 4, m, -3.\nAnswer: -6, -3, 4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -1555*j**3 - 4*j**2 - 6*j. What is the tens digit of n(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q - 3*q - 2*q - 3*q in the form v*q + p and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 82846.\nAnswer: 2, 23, 1801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2*-189341\nAnswer: -378682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1660277 is divided by 6641.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 186 and 248.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2. Let p(u) = 1759524*u. Determine c(p(f)).\nAnswer: 3095924706576*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 3*q = 4, d - 35 = 4*q - 31. Solve d*i - 11*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12420 (base 11) in base 6?\nAnswer: -214241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1549600986?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11 = r - 6 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*v - 9*v + 1593. Suppose -5*h + 3 + v = 3*t, 4*t + 43 = 3*h. Solve -c = 2*g - 2, -5*c + 5*g - 22 - h = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 4*j = 3*a - 1211, a + 1223 = 2*j. Is 13 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1742652 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -359\/6 + 60. Suppose 5*p + 31 = 16. What is the biggest value in p, 5, t?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 9. Let p be 0*f\/9 + 2. Let g(t) be the third derivative of -t**6\/60 + t**5\/30 + t**4\/24 + t**2. Calculate g(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -295 - -5603\/19. Which is the nearest to -2\/9? (a) y (b) 2\/9 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.33 + -0.07. What is the smallest value in 6\/7, 1, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1772.\nAnswer: 2, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m**5\/7 + 124*m**4\/7 - 4724*m**3\/7 - 102016*m**2\/7 + 107874*m\/7 + 552780 = 0. Calculate m.\nAnswer: -83, -15, -7, 6, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 2 - 11 = -4*k, 2*x = -3*k + 11. Suppose -5*q + 111 - 36 = 0. Suppose -k - q = -3*b. Is b a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17 + 14. Let w(r) = 5*r**2 + r + 3. Is w(o) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**3 + 4*n**2 + 5*n + 6. List the prime factors of p(5).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -6*f - 7. Let n(r) = 16 + 12 - 22 + 5*r. Calculate -6*k(y) - 7*n(y).\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1465?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.083 * 5\nAnswer: -0.415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 7 times 14190\nAnswer: 99330","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 110 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 90894*l**5 - 1311*l**2*v**3 + 4172808*l*v**2 + l*v - 2*v**3 + v**2 wrt l?\nAnswer: 1817880*l**3 - 2622*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sddnnjenjeeweeesejee. What is prob of picking 1 n, 1 e, 1 s, and 1 w?\nAnswer: 18\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/3, 5, 0.3, -782, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11.966 - 12. Let i = -4.966 + f. What is the nearest to 1 in i, -2, 1\/47?\nAnswer: 1\/47","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -812*z + 25162. What is p(31)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(17) + 1*sqrt(2057) + sqrt(17) - (sqrt(17)*2 + 2)) + (sqrt(102) + 5*sqrt(102)*3 + sqrt(102))\/sqrt(6))**2.\nAnswer: -112*sqrt(17) + 13332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 286464 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 62 - 63. Let t be (-3 + c + 5)*(3 - -2). Suppose -t*o + 6071 = 1726. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 737 and 469?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + -12 + (1 - 9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 3. Let o be (-3)\/(-6)*-2 + 5. Suppose -p - o*p = -4*z - 20, -5*z = -5*p + 20. Which is bigger: z or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6637750 (base 9) to base 7.\nAnswer: 42221214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9120 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -466.7 - -467. Let n be (-2)\/(-1)*(-2)\/(-12). Which is the smallest value? (a) n (b) q (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -53118 divided by 681?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -11*k + 27. Let m be s(2). Let p be (-52)\/(-12) + (-2)\/6. Put -3, m, p in decreasing order.\nAnswer: m, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/(-4))\/((38\/(-152))\/((-2)\/(-2)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 2*j + 429868, 4*j - 3*i - 214934 = 5*j. Let a = j - -354934. Round a to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 210721?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -139, 1, 0, 1703, -1, 19.\nAnswer: -139, -1, 0, 1, 19, 1703","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/(-9))\/(-2 + 4). Let b = -29 + 30. Sort b, 2, w.\nAnswer: w, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 34803710 to the nearest integer?\nAnswer: 326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.95 - 0.05. Let r = y - -2.89. Let k = r + 0.10947. What is k rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 75 = -9*s. Let n = 12 + s. Let g be n\/21 - 4\/14. Put -3, g, 2 in decreasing order.\nAnswer: 2, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 2*r - 5*z + 5, -2*r = 3*z + 27. Put -4, -11, r in decreasing order.\nAnswer: -4, r, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000481766 to 6 dps.\nAnswer: 0.000482","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-32013)\/6)\/((-1)\/(-3) - (-20)\/(-24)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 2*a - 954, o = 3*a + 166 - 1597. Is 5 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75552530 = 10*f - 92325736 + 15708266. What is f rounded to the nearest one hundred thousand?\nAnswer: 15200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-1*sqrt(18) + -1 + 5)*6)**2.\nAnswer: -21600*sqrt(2) + 30600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 88469536 and 64.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(833) + 4 + -4)**2 - -1*sqrt(85)\/(sqrt(15)\/sqrt(3)).\nAnswer: sqrt(17) + 833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 319885 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/4))**12\/(a\/a**5*a**(-3)))**11 assuming a is positive.\nAnswer: a**44","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3782111.\nAnswer: 3782111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w - 20 = 3*w. Suppose -w*v = -23 + 3. Solve v = -5*i - 1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -333*f**3 - 4*f**2 + 4*f + 4. Let b(n) = -335*n**3 - 3*n**2 + 3*n + 3. Give -4*b(q) + 3*s(q).\nAnswer: 341*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2702 > 2702?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -3*j + 2*j - 4*i, 3*j + 36 = -3*i. Let x be ((-24)\/14)\/(j\/63). Suppose 0 = -4*q + 3*q - 5*y - 9, -q = -2*y - x. Let w(f) = -f + 3. Calculate w(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (-60 - -62 - ((-19 - -21) + 0 + 25))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (50 - -191) + -147 - (45 - -2)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(120)*2)\/sqrt(6) + -4*(sqrt(45) + -5))**2.\nAnswer: -640*sqrt(5) + 1440","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11455 is divided by 26.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8743 is divided by 182?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/7 (b) 1 (c) -2\/3 (d) 0.18 (e) 4 (f) 12 (g) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (15 - 4*i**2 - 15)*(-i + i - 38 - 3*i)*(8 - 4 - 5) as n + s*i**2 + q*i + t*i**3 and give t.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 12. Let n = 10 + -31\/3. Let y = 2.5 - -0.5. What is the nearest to n in y, 2, t?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 3, v: 10, q: 2}. What is prob of picking 1 q and 3 v?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -20, -3, 0 in descending order.\nAnswer: 5, 0, -3, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -39*d**3 + 2*d**2 - d - 1. Let s be q(1). Let n = s + 41. Is (4\/(-6))\/(n\/1578*-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-166 - 88 + 79)*(-2*b + 3*b - 3*b) + 1 - 1 + b - 4*b - b + 2*b + (1 + 0 + 1)*(-b - 4*b + 3*b).\nAnswer: 344*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 256*j - 5 = 251 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -9870.\nAnswer: 1\/3290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 176*g - 56511 = -144*g - 1129*g for g.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((1*sqrt(117)*4 - sqrt(117) - (-1*sqrt(117) + -1)) + ((sqrt(117) + sqrt(117) + -2*sqrt(117) - sqrt(117)) + 2 - sqrt(117)) + 3 + -1 + -5)**2.\nAnswer: 472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 + 5*j**2 + 13*j - 20. Let a(s) = 5*s**2 + 3*s - 2. Let y be a(1). Let k be t(y). Suppose -k*f - 331 = -23*f. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 3*a. Let p(f) be the first derivative of 105*f**2\/2 - 414. Determine p(k(n)).\nAnswer: 315*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 e, and 1 d when three letters picked without replacement from ddjdeeddedejded?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 36.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 1562*a**2. Let b(m) = 3*m. Calculate q(b(c)).\nAnswer: 14058*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 p when three letters picked without replacement from ppp.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of -q**4\/2 + 63*q**3 + 192*q**2 + 2*q + 130. Let z(j) = -j**2 + 54*j + 55. Let p(i) = -2*m(i) + 15*z(i). Factor p(c).\nAnswer: -3*(c - 19)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -15, -1, 97, -42, 3, 4 in descending order.\nAnswer: 97, 5, 4, 3, -1, -15, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p - 1. Let s(l) = -3*l**2 + 128*l + 43. Let r be s(43). Give a(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/7 + (-7)\/98 + (-1941)\/462?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b**3 + 0*b**3 - b - 12*b.\nAnswer: -2*b**3 - 13*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 784\/(-140)*(-10 - 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -117 divided by 79597.\nAnswer: -117\/79597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -12375, -24928, -37481?\n\"Answer: -12553*z + 178","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 3*z**3 - 113*z**2 - 71*z + 60. List the prime factors of c(40).\nAnswer: 2, 5, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7694124317 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -32 (b) 293 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-10)\/6)\/((4\/(-228))\/(-1)). Let x = 103 + g. Suppose 0 = -o + 5*h + 8, h - 2*h - x = -o. Calculate the lowest common multiple of o and 50.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 11*w. Let v(a) = -a + 15. Let t(q) = q - 12. Let y(k) = -5*t(k) - 4*v(k). Give y(p(b)).\nAnswer: -11*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17992?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2214\/(-984))\/((-2)\/8)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2050944 divided by -24.\nAnswer: -85456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-9)\/(-15) + (-5)\/(50\/186). Let x(t) = 4*t + 5. Let q(c) = c + 1. Let u(a) = -9*q(a) + 2*x(a). List the prime factors of u(h).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6930)\/175)\/(4\/(-10)). Suppose q - g = 330. Is 10 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((36\/70)\/(148\/80 - 2))\/((-99)\/924).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**3 - 1368228*n**2 + 156009461100*n - 1247988123744.\nAnswer: 3*(n - 228034)**2*(n - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2520 and 90.\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 + g**2 + g + 1. Let j(b) = 5*b**3 + 4*b + 4. Let s = -3 - -2. Let y(a) = s*j(a) + 4*c(a). List the prime factors of y(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 15464.\nAnswer: 1\/7732","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.14 + -0.03. Sort y, 4, -2\/13, -1 in ascending order.\nAnswer: -1, -2\/13, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*b - 2*b + b)*(-2 + 2 - 3)*(-5 + 2 - 7) in the form w*b + r and give w.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 3)*(97*j + 30*j - 7*j)*(3*j + j - 6*j)*(-3 + 2 - 1).\nAnswer: -480*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 2*z + 5 = 0, 4*z + 7 = p + 2*z. Suppose 689 = 2*l - 3*h, 691 + 344 = p*l - 4*h. What is the hundreds digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 56385, 55505, 54035, 51969, 49301?\nAnswer: 46025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*n + 588 = -75*n for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, 5, -2, 83, -7, 0, -3 in increasing order.\nAnswer: -7, -3, -2, 0, 5, 9, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 776658267 divided by -179.\nAnswer: -4338873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 128 + -85. What are the prime factors of b?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*r + 4*r - 2*r)*(0 - 2 + 4) + 38 + 38 - 81 - 494*r + 0 to the form o + z*r and give z.\nAnswer: -490","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*d + 4, -2*f - d = -18. Let y be (0 - 1)\/((-2)\/6). Suppose -y*i = -j + 5 - 1, 2*i + 5 = 3*j. What is the least common multiple of j and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 13 = 4*x, 5*x - 13 - 5 = 2*t. Let n be 20312\/(-88) + x\/(-22). List the prime factors of n\/(-15) + (-2)\/5.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 76.08365ml?\nAnswer: 0.07608365","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n**5 + 2290*n**4 - 11530*n**3 + 20800*n**2 - 16195*n + 4630 = 0. What is n?\nAnswer: -463, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-37))\/m**(2\/49) assuming m is positive.\nAnswer: m**(1860\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 569*b - 101 = -564*b, -3*v - 2*b = 22 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ggggggggg. Give prob of picking 3 g.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2*p + 3. Let h be j(0). Let m be 2 + (3 - (7 - h)). Solve g = -5*o + 3, -2*g - 3*o = -0*o + m for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 + 27. Let o = 22 + i. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-3) + 113830\/84. Let h = 1350 - i. Find the common denominator of h and ((-74)\/8 + -1)\/(-2).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 71608357?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -3 - 9f74?\nAnswer: -9f77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t. Let z(u) = -4*u + 2. Determine 3*p(i) - z(i).\nAnswer: i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.7 - -5. Let q = 0.3 - f. Let d = q - 1.005. Round d to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53376672551 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 0*b = 18. Let c = b - -10. Solve -c + 9 = -2*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 7249.427ml?\nAnswer: 7.249427","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.86 + -0.36. Which is the fourth biggest value? (a) 4 (b) 0.1 (c) -2\/3 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 257964?\nAnswer: 2, 3, 7, 37, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*c**2 + 2*c**2 - c**2)*(4*c - c - c) + 3*c**3 - 4*c**3 + 0*c**3 + 13*c**3 + 16*c - 16*c + (0*c**2 + 4*c**2 - 2*c**2)*(6*c - 2*c - 2*c).\nAnswer: 12*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -1.6187079.\nAnswer: -0.64748316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 220*x**2 - 9*x - 9. Let g be d(-1). What is the highest common factor of 66 and g?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 4*s**2 + 4*s + 3. Suppose 2*d + 0*d + 6 = 0. Let j be f(d). Calculate the highest common factor of j and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -122 - -126. Suppose -3*j = n*t - 281, -8*t + 4*t - 4*j + 280 = 0. Sort t, -1, 3 in descending order.\nAnswer: t, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of -b**6\/360 + b**5\/120 - b**4\/12 - b**3\/6 + 3*b. Let g(s) be the second derivative of k(s). What is g(2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a - 14. Determine g(15).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*h - 53*h - 30 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -16 (b) 1.5 (c) 0.3 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6\/(-4)*76\/(-57). Suppose h*y - y = a - 34, -4*a + 140 = -3*y. What is the highest common factor of 2 and a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -84\/13. Let r = 62.58 - 62.28. What is the smallest value in -0.3, r, v, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(10) + (sqrt(10) - sqrt(40)))*1)\/((-1*sqrt(2) + sqrt(2))*5 - sqrt(72)*-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 8 = 4*y, -2*v - 2*y + 5*y - 11 = 0. Let b = v - -4. Solve w - 1 - 2 = b for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 7*r**2 - 10*r + 4 - 3 + 1 - r**3. Let b be a(5). Suppose -b*t = 2*t + 20, -j = -5*t - 149. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 3 = 0, -3*b + 7 = 2*b + 2*n. Suppose b = -p + 2*v, -2*v = 4*p - 6*v. Let t = 11 + -15. Sort 2, p, t.\nAnswer: t, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*x - 14*x. Let h(f) be the second derivative of x - 11\/3*f**3 + 16*f + 6*f**2. Differentiate h(l) with respect to l.\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*3\/(-18))\/(108\/(-96)*8).\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 147794 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together 12.1522 and -62.\nAnswer: -49.8478","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 PM and 2:21 AM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 338, 331, 324, 317, 310?\nAnswer: 303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 35 = m + 17, 3*m - x = -164. Suppose -4*y = -8*y + 356. Let d = m + y. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/9 + 40\/12. Let o = -134 + 270. Suppose -k - l - o = -4*k, -198 = -s*k - 2*l. What is the remainder when k is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (-5 + sqrt(20) + -2 - (-2 + -2*sqrt(20)))**2.\nAnswer: -60*sqrt(5) + 205","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1511259 (base 13) in base 15?\nAnswer: 8c96e9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1388*s + 64 = -2708*s + 1352*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7416215 is divided by 83?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 45606\/17 + -364831\/136. What is b in -k*b**2 - 9\/8*b - 7\/4 = 0?\nAnswer: -7, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -3*m**2 - 2*m - 4*m**3 + m - 4*m + 5. Let v(o) = -o**3 - o**2 - o + 1. Let f = 303 + -293. Suppose f*i = 12*i + 10. Give i*v(b) + x(b).\nAnswer: b**3 + 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9191 - -9397. Is b less than or equal to 4\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 2*s**2. Let r(m) = -m - 1176 + 1176. Give z(r(i)).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the third derivative of 0*f**3 - 1\/20*f**5 + 9*f**2 + 11\/120*f**6 + 0*f + 0 + 0*f**4. Find the third derivative of h(y) wrt y.\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 4*w**3 - 5*w**2 - 4*w + 5. Suppose 828 = -150*x - 72. Let h(i) = 5*i**3 - 6*i**2 - 3*i + 6. What is x*n(r) + 5*h(r)?\nAnswer: r**3 + 9*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -52*w - 52*w + 105*w - 3*w**3 + 3*w**2 + 102 + w**2 - 2*w**2 to the form o*w**3 + m*w**2 + b*w + t and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 191 - 271. What is the common denominator of -4 + ((-54)\/(-24))\/9 and (0 - 2\/a)*-174?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*t + 125 + 22 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53 = -11*w + 75 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15314.97 + -15400. Let g = 0.385 + -85.385. Let y = v - g. What is the smallest value in 1, y, 1\/2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -13*n**2 - 433*n + 3. Let y(t) = -9*t**2 - 288*t + 2. Determine -5*i(b) + 7*y(b).\nAnswer: 2*b**2 + 149*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -9 + 9 + (-9 - (-3 - 0)) + 22\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((-18)\/282) + (-2)\/(-3)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a millennium in decades?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 2 i, and 1 z when four letters picked without replacement from {b: 2, w: 1, u: 2, i: 2, q: 1, z: 5}.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1061.7 + 1061.7. What is the fourth biggest value in -4, -0.6, -2, 2\/3, d?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 1, 1\/17 in decreasing order.\nAnswer: 12, 1, 1\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4474624.72443 - -692.\nAnswer: -4473932.72443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a + 859. What is p(37)?\nAnswer: 822","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -4. Let k = -14 - -12. Let x be ((k\/27)\/2)\/((-5)\/30). Is o at most x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*k - 8954 = -3410. Calculate the highest common factor of 24 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 655704 is divided by 3183.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.918 + 0.918. Which is the closest to -1? (a) 5 (b) h (c) 2\/1729 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.04? (a) -20 (b) -0.4644 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence krrd when four letters picked without replacement from rnnnnrnnnkrd?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = -2*k + g + 3, 4*k = -4*g. Let q(b) = 3*b**3 + b**2 + b - 1. Let p be q(k). Factor 2\/7*s**p + 4\/7 + 10\/7*s**3 + 2*s + 18\/7*s**2.\nAnswer: 2*(s + 1)**3*(s + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -215176300 rounded to the nearest one million?\nAnswer: -215000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -37 + 48ca6?\nAnswer: 48c6c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*n**2 - 6*n + 6*n)*(2*n + 0 + 0) + (n**2 + 2*n**2 - 6*n**2)*(3*n + 3*n + 3*n) - 3*n**3 + 5*n**3 - 3*n**3 to v*n**2 + f*n**3 + p + y*n and give f.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 50015 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -2*h. Let p(c) = 277*c**2 - 2*c + 2457. Determine f(p(s)).\nAnswer: -554*s**2 + 4*s - 4914","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 (base 16) in base 3?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z**3 + 122*z**2 - 235*z - 161. Calculate d(59).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 205087 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16.5 - -1.5. Let q = x - -7. Let d = -8.28 - q. Round d to 1 dp.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17994 is divided by 329.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46040 = -1597*f + 9407 + 2045 for f.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvee when four letters picked without replacement from {v: 3, e: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-u + u + 2*u)*(1 + 3*u - 3 - 5*u)*(2 - 2 - 3*u**2) + 297*u**4 - 492*u**4 + 255*u**4 to q*u**3 + k*u + t*u**2 + d*u**4 + o and give q.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -738*n + 219 - 219 as m*n + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i**2 + i - 2. Let q be l(-2). Suppose -f - s = 0, -f - s + 6 = -3*f. Let m be (1\/1)\/(f\/(-46)). Solve -m = -q*c - 7 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 852*w**2 + 18892*w + 104720.\nAnswer: 4*(w + 11)*(213*w + 2380)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -22 divided by -370\nAnswer: 11\/185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 + 4. Let d = r + 6.8. Let l = -220\/7 - -32. What is the nearest to -0.1 in -0.3, d, l?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 10904 divided by 3\nAnswer: 10904\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4\/(20\/15) - -39029. Is (-4)\/6 - s\/(-84) a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2417 - 3366 + 273*y + 2173 - 239*y.\nAnswer: 34*y - 3610","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.4706806 nanoseconds in minutes?\nAnswer: 0.00000000004117801","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -105 - -114. Solve -2*y + i = -5*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-23\/4)\/l*l\/l**(-14)*l**(-31)*l*l*l\/(l**12\/l) assuming l is positive.\nAnswer: l**(-123\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42307.\nAnswer: 42307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -128578*198\nAnswer: -25458444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -2\/3, 4, -18\/1801?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-6)*27\/(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(-7 + -8 + 16).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - -b3?\nAnswer: ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 42605352 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 688*j = 695*j + 5110. Let z = -424 - j. Is 33 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*a + 3*j, 4*a - 2*j = 2 - 4. Is ((-46)\/a)\/(4\/66) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22.33 - 0.33. Let w = k + -22. Let f be 2*((-1)\/22)\/((-9)\/18). Which is the closest to -0.1? (a) f (b) w (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 25 = 0, 2*o - 11 = -3*n + 6*o for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 2 - 5)*(l + 2*l - 4*l) + 0*l - 2*l + 4*l + 2*l + 0*l + 0*l + 4*l - l - l + (10 - 1 + 17)*(l - 3*l + 3*l) in the form k + f*l and give f.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -64 + 68. Let r be ((-2)\/l)\/((-5)\/640). Suppose a = -31 + r. Solve -7 = 4*v - c, -a - 1 = 3*v + 5*c for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3536460 divided by 177.\nAnswer: -19980","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-62)\/22 - (3\/(-3) + -2)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4237514, -4237508, -4237498, -4237484?\nAnswer: -4237466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2)*y**1)\/((y*y\/y**(-2\/3))\/y**6) assuming y is positive.\nAnswer: y**(7\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s**(2\/3))\/(s*s**(-4\/3)))**(-4\/13) assuming s is positive.\nAnswer: s**(-12\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + -5)*(-7)\/(-63)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -f - 36. Let g = 31 + f. What is the greatest common factor of g and 208?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*f - 14 + f**2 + 14 to the form j + y*f + d*f**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18503, -36996, -55489, -73982?\nAnswer: -92475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*s + 3*s**2 - 1019323 + 0*s + 1019323 - 20*s**2.\nAnswer: -17*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the third derivative of -d**5\/60 + d**4 + 77*d**3\/6 - 7*d**2 + 2. What is the first derivative of t(n) wrt n?\nAnswer: -2*n + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from peprpomtommp. What is prob of picking 1 r and 1 t?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 55082330 to the power of 1\/2, to the nearest integer?\nAnswer: 7422","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 11*s = -15*s + 866412, 2*r = 5*s + 1732785. Round r to the nearest ten thousand.\nAnswer: 870000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 10103 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*(r*r\/r**(-1\/2))\/r)**(-35)\/((r\/(r\/(r*r*r*((r**(3\/5)\/r)\/r)\/r*r*r)*r))\/(r*r**(1\/10))) assuming r is positive.\nAnswer: r**(-88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/u**(1\/3)*u))\/(u\/(u**(1\/3)*u))*(u\/(u*u**5))\/u**(-4\/5)*u**5*u**(-2\/17)*u**4\/u*u**6 assuming u is positive.\nAnswer: u**(2384\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 8*w**5 + 9*w**4 - 37*w**2 - 243*w. Let i(f) = 2*f**5 + 2*f**4 - 9*f**2 - 61*f. Let l(m) = 2*g(m) - 9*i(m). Find the second derivative of l(a) wrt a.\nAnswer: -40*a**3 + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 divided by 161408.\nAnswer: 1\/5044","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*z + 3*r - r - 620 + 40 = 0, -3*r + 45 = -z - 13 for z.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 160949 to the power of 1\/2, to the nearest integer?\nAnswer: 401","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4404158?\nAnswer: 2, 11, 18199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (102 + 59 + 55)*(-10*m - 2*m**2 - 10*m + 19*m) as b*m + c*m**2 + r and give b.\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 + 2*v - 3. Let x be s(2). Let n(d) = -5*d**3 - 3*d**2 + d - 2. Let c(r) = r**3. Let z(q) = -4*c(q) - n(q). Determine z(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10890 a multiple of 110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -632, -3320, -6008, -8696, -11384?\nAnswer: -14072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1.9 times 0.12\nAnswer: 0.228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -16, 4, 2\/3, -2\/7?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*n + 2*n**2 + 0*n)*(-38 - 159 + 3)*(1 + n - 1) in the form v + f*n**3 + i*n**2 + j*n and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 28876600 and 328.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 9176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.014012 to 4 decimal places.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 16 = 5*t, -t - 9 = d + t. Is -3*(8 + -3415) + d + -1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyzzz. What is prob of picking 1 y and 2 z?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 28281758003 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -35 - -21. Does 2 divide 1*2\/((-4)\/a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.04 (b) 2\/7 (c) -1 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -61789*h**3*y**2 - 3*h**3 + 148978*h**2 + 523*h*y**3 + h*y + 64*y wrt y.\nAnswer: -123578*h**3 + 3138*h*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71 is divided by 21.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.492037 tonnes in nanograms?\nAnswer: 7492037000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/1457? (a) 2\/11 (b) -3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -16*d - 3. Let b(w) = 11*w + 2. Let h(j) = -7*b(j) - 5*p(j). Let l be (-12)\/3*(-2)\/4. What is the units digit of h(l)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 93.72861 micrograms in kilograms?\nAnswer: 0.00000009372861","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (22 - 53) - (0 + 0 + -1)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2424 is divided by 803.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from skskkkvivzvkvvvv. Give prob of picking 1 k, 1 s, and 1 i.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3942 (b) 4\/5 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -4*l - 69. Let h be m(-17). Which is smaller: h or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 18\/767?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 5459 + 1910. List the prime factors of i.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -68956636 <= -68956635?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14 by 14811273.\nAnswer: 14\/14811273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 396 + -2778\/7. Is k less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x when three letters picked without replacement from xxekxxxxxxkxxkxekxxe.\nAnswer: 143\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -324 + 322. Let k(g) = 2*g**3 + 3*g**2 + 2*g. Give k(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 14*j**3 - 5*j**2 - 4*j - 6. Let a(r) = -13*r**3 + 4*r**2 + 3*r + 5. Suppose 7*x = 5*x + 7*p + 5, 21 = 4*x - 3*p. Give x*a(u) + 5*f(u).\nAnswer: -8*u**3 - u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -77 - -134. What is the remainder when 111 is divided by m?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 - 13) + 4 + (0 - -7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of z**6\/120 - 7*z**5\/60 - z**4\/2 + 16*z**3\/3 - 3*z**2 - 5*z. Let x be b(8). Solve x*y - 3*y + 10 = -4*o, 5*o + y = -3 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*g - 5*x - 18, 0*x + 27 = 3*g + 5*x. Suppose -r - 46 = -y, r + g = 4*r. Is 15 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.4 + -0.2. Let f = -0.25 - 0.05. Let x = p + f. Is -2\/3 < x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 24 = 0, -a = -2*n + 8017 + 23563. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 66*r**2 - 23*r. Let l(q) = q**2. Let i(g) = -5*l(g) - w(g). Find the second derivative of i(b) wrt b.\nAnswer: -142","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 10:11 PM?\nAnswer: 11:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8191 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39135 is divided by 421?\nAnswer: 403","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 70774 + -51877351\/733. Let c = -56279\/13194 + t. Calculate the common denominator of c and 122\/84 - 4\/14.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 - 1 - 4)*(60 + 478*k**2 - 30 - 28)*(6*k**3 - 3*k**3 - k**3).\nAnswer: -17208*k**5 - 72*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -112 plus -5052?\nAnswer: -5164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36012246?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.47 + 0.13. Let w = -1.53 + q. Let u = 0.0699928 - w. What is u rounded to six dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3808\/15 + 254. Let w = 11.3 + -11.6. Let n = 1 - 0. Which is the closest to n? (a) w (b) h (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1764)\/sqrt(7) + 2 - sqrt(84)\/(sqrt(24)\/sqrt(2))*5) + 0.\nAnswer: 2 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 10 = 5*d, -2*d + c + 6 = 2. Suppose -d*y - 55039 - 52054 = -5*a, -4*y + 107099 = 5*a. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -82122334 times 5?\nAnswer: -410611670","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 65\/(-20) - -3 - (-145)\/23. Let a = 200\/23 + t. What is the common denominator of 37\/10 and a?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 399793528?\nAnswer: 2, 49974191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(3\/5)*r)\/r)\/(r**31\/r))**(-5) assuming r is positive.\nAnswer: r**147","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1981 times 23.9\nAnswer: -47345.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-6)\/g*g**(-17)\/g)**0 assuming g is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 11570 + -0.03\nAnswer: 11569.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7496, -7686, -7878, -8078, -8292, -8526, -8786, -9078?\nAnswer: -9408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(70) + 2*sqrt(70))\/sqrt(10)*4)**2.\nAnswer: -6048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:05 PM and 6:49 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of -z**7\/360 + z**4\/4 - 3*z**2. Let w(y) be the second derivative of v(y). Let q(d) = 6*d**2. Give 6*q(j) + 5*w(j).\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 14*k**3 - 5*k**2 - 3. Let h(v) = -15*v**3 + 6*v**2 + 4. Calculate 3*h(n) + 4*w(n).\nAnswer: 11*n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 7 + 2 - 15)*(7*y - 2*y + y) to the form h + r*y and give r.\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 378 = -0*t - 4*t, 3 = -t. Let c = a + -648\/5. Put c, 1\/3, -5 in descending order.\nAnswer: c, 1\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(((-154)\/(-7))\/11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 less than 7215\/2714?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 + -7.03. Let w = 13.7 + 57.3. Let t = w + -71.3. Is h smaller than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 90, 156, 222, 288?\nAnswer: 354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -167, -171, -173, -173, -171?\nAnswer: -167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 141134 + -78945. Is v 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 522871938?\nAnswer: 2, 3, 37, 785093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -201 - 192 - 2*m**2 + 393.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(9\/30 - (-105)\/(-150)). What is u in 0*u + 0 + 26\/3*u**4 - 10\/3*u**s + 32\/15*u**2 - 112\/15*u**3 = 0?\nAnswer: 0, 4\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1445, -1506, -1593, -1718, -1893?\nAnswer: -2130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -g - 360, 1460 = -4*g - t - 0*t. Let d = -353 - g. Solve d*w + 4 = 9*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:36 AM and 7:05 PM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2958 - 2942 = -8*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 77344973.\nAnswer: 77344973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/13)\/n)\/(n*n**(-24)\/n) assuming n is positive.\nAnswer: n**(301\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) be the first derivative of v**4\/22 + 4*v**3\/33 - 4*v**2\/11 - 16*v\/11 - 46. Let x(i) = 0. Calculate i.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n - n + n)*(-1 - 1 + 0) - 6 + 38 - n - 6.\nAnswer: n + 26","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002538372 rounded to seven decimal places?\nAnswer: -0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 501 - 1488 + 495 - 50*r + 492.\nAnswer: -50*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the first derivative of -m**4\/4 - 5*m**3\/3 - 9*m**2\/2 - 5*m + 27. Let r be k(-4). Solve 11*y - 8*y = r for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6016 a factor of 3187330918?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 349037 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4.7 and -265?\nAnswer: 1245.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of 37*a**6\/15 - 29*a**3\/2 + 30*a. Find the second derivative of x(n) wrt n.\nAnswer: 888*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 23*u - 19. Give h(-1).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 50 + -25. Let v = 25 - w. Which is smaller: v or -0.17?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 2*g**2 + 37*g + 9. Let l be h(-23). Which is bigger: -2 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 806 - 421. Let m = 399 - h. What is the greatest common factor of 14 and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-33 - -28) + 40 - -16?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153*c = 124*c - 348 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 4*y = 12. Let k = 22 - y. Differentiate z + 11 + 14*z - k - 3*z wrt z.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*y - 109*y + 1396 = -354 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**5 - 4*z**4 - 10*z**3 + 20*z**2 + 8*z - 16 = 0. Calculate z.\nAnswer: -2, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 9*q - 5*q**2 - 31*q**2 = 0. What is q?\nAnswer: -2\/9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*g + 96 = 18*g. Let a = -58 + 138. Calculate the greatest common factor of a and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 44\/66 + 4\/(-6). Solve 4 = -f*m - m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 10*t = -9*t - 24, -3*l + 20 = 2*t. What is the units digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 23 = z, z - 4*p + 8*p - 22 = 0. Suppose -v + 2 = -2*d - 9, -z*v + d = -31. Let k(o) = -6*o - 3. Let a(h) = -2*h - 1. What is v*a(c) - 6*k(c)?\nAnswer: 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 681 - 630*n**2 - 681 - 2*n.\nAnswer: -630*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(28) - sqrt(2800)*-5) + -1*sqrt(2800))\/(5*-5*-5*sqrt(400)))**2.\nAnswer: 11767\/1562500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.085 >= -0.02?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c = 2*i + 12, -9*i + 4*i = c + 14 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 3*h - 6. Let r(p) = 27*p + 352. Let m be r(-13). Let x(n) = 6*n - 43. Let z be x(8). Let k(i) = -i + 1. Calculate m*j(c) + z*k(c).\nAnswer: -2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5\/(21\/9 + -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(-42)\/120*(-1544)\/(-51338).\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 486609 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -3 + 7 + -5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11586027 by 3862009.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -10917, -22174, -33431?\n\"Answer: -11257*t + 340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.406757t in micrograms?\nAnswer: 1406757000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*y**4 - y**3 + y**2 - 2143*y.\nAnswer: 60*y**2 - 6*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -2*t, t - 12 = -6*v + v. Let r = v + 1. Suppose r*c - 2*m = -c + 6, 0 = -3*c - 2*m + 22. Solve 4*d - 3*w = -c, 0 = -2*d - d - 2*w - 3 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 2, y: 1, b: 1, j: 1}. What is prob of sequence bysj?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 15*x**3 + 17. Let t(c) = 5*c**3 + 6. Calculate 17*t(b) - 6*u(b).\nAnswer: -5*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 4\/11, -25?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 134 = 2. List the prime factors of p.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11517 - -25832. List the prime factors of o.\nAnswer: 5, 7, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -182*m**3 + 107*m**3 - 175*m**3 + 3*m.\nAnswer: -250*m**3 + 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16300, -16294, -16284, -16270, -16252, -16230, -16204?\nAnswer: -16174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, 85.\nAnswer: -3, 2, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 18*r. Let t(x) = 1010850*x + x**2 - 1010850*x + 2*x**2. Give t(p(n)).\nAnswer: 972*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 889474 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1869892984 to the power of 1\/3, to the nearest integer?\nAnswer: 1232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1423053670.\nAnswer: 2, 5, 37, 1453, 2647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - k = -825, 3*v + 3*k = 8*v + 825. Let h be (-99)\/v + (-54)\/(-10). Let s(d) = -d - 5. Let l(z) = z + 6. What is h*s(q) + 5*l(q)?\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-86 + 39 + 45 + 25*o)*(-3 + 2 - 1).\nAnswer: -50*o + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 56 - 59. Let u be 1\/4 + (-3)\/4. Which is the second biggest value? (a) u (b) -5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 353101 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10 - (-175)\/20)\/((-2)\/2). Factor 1 - 2*b - v*b**2.\nAnswer: -(b + 2)*(5*b - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9680*p + 8 - 9678*p - 9678*p - 9674*p + 38708*p.\nAnswer: -2*p + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -67455, -67479, -67503?\n\"Answer: -24*s - 67431","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 105 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -68010 divided by 4534?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1942 + -1278. Let h = o - 296. What is the greatest common factor of h and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -2*l**2 + l - 1. Let z(w) = -7*w**2 - 2*w - 11. Let h(k) = 4*r(k) - z(k). Give h(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111221 (base 3) in base 10?\nAnswer: -376","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 27, -123, -5, 0 in descending order.\nAnswer: 27, 0, -4, -5, -123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 123103 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqqq when four letters picked without replacement from lqqqqqqqqqqqqqqqqqq?\nAnswer: 15\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(2*sqrt(252))\/(-4*(-1*sqrt(9) - sqrt(9))).\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in 1\/6, 2\/15, -1931, 0.5?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 227 - 300 + 72 + 412*r.\nAnswer: 412*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 173 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 2*j + 8, 4*x = -2*j + j - 25. Let o be x\/9 - 164\/(-12). What is the tens digit of (-133)\/(-2) + o\/(-26)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -3*g + 185, 3*i + 248 = 5*g + 803. Suppose -5*y - 170 = -3*a, 2*a - 2*y = -a + i. Calculate the remainder when a is divided by 18.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 - 5 + (13 + 20 - 23)*(2 - 2 + 1))*(-h + 0*h - h).\nAnswer: -18*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -3*t**3 - 4*t**2 - 3*t - 2. Let u be g(-2). Suppose 3*d - s = 18, 5 = -2*d - 68*s + 63*s. Let q = -12 + 14. Solve -d*l - q = -u for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31069 to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, n: 1, b: 1, c: 8, d: 1}. What is prob of sequence kccd?\nAnswer: 7\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 5 = u. Let g be (-7 - -8)*0\/2. Let t = g + u. Solve 2*p + t*b - 15 = 3*p, 15 = 3*b for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -108 to the nearest 100.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*n - 64708 + 277468 = 0. What is the units digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 5310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/9 - (-575)\/5175?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 915, 4, -19, 12 in descending order.\nAnswer: 915, 12, 4, -5, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(684) + -2 - sqrt(684))*-5 + -4 + 0 + sqrt(684) + 2 + 1.\nAnswer: 9 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -288 = -r - 4*t - 0*t, -r + 293 = 5*t. Let h = -252 + r. Sort h, -1, -2 in descending order.\nAnswer: h, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -73*b**2 + 2*b - 10. Let j(t) = 3*t. Give y(j(g)).\nAnswer: -657*g**2 + 6*g - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -102 + -10?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 63 divided by 227\nAnswer: 63\/227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 29786 to the power of 1\/2, to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eiiziztzette. What is prob of sequence zztz?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) -159 (b) 0.5 (c) -4 (d) 1\/1119\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2.3*-4060\nAnswer: 9338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 159215 = 5*c + 10*i - 5*i, -31823 = -c + 4*i. What are the prime factors of c?\nAnswer: 3, 10613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 4*t - 7 + 27, 3*i - 2*t = 34. Solve 4*b = -12 - i for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -2, 16, -3, -4, -5 in descending order.\nAnswer: 16, 7, -2, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 83\/364 + 2\/91. Let d = 106.1 - 107. Let m = d - -9.9. Is v less than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 0) + -5 - (21 + -19).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -45 + 45 + 2 + -13\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -7*z**2 - 3*z + 7. Let n(s) = s**2 - s - 1. Let r(g) = 6*n(g) + v(g). Let b be r(-5). Calculate the greatest common factor of 168 and b.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1860929 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1276 divided by -319?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3624 and 598715.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand m**2 + 4*m**2 - 4*m**2 + (-1 + 1 + 6*m)*(2*m - m - 3*m).\nAnswer: -11*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -3*o - 43. Let d(f) = -2*f - 29. Let z(u) = -7*d(u) + 5*r(u). Let j be z(-14). Solve 8\/11 - 30\/11*n**3 + 62\/11*n**j - 40\/11*n = 0.\nAnswer: 2\/5, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - r + 6*r = -26, 0 = 5*w + r - 6. Let a(b) = 8*b**2 - 2 + 0*b**2 + 2*b - 7*b**w. Let u be (8\/10)\/((-4)\/20). What is a(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31 - 33. Which is the closest to h? (a) 2\/9 (b) 2\/15 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.40396944 to three decimal places.\nAnswer: -8.404","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-52)\/((-321776)\/65) - 4\/34?\nAnswer: -3\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 153 - 58. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.03, 2134, 5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 2*x**2 - 18960*x - 56898 = 0.\nAnswer: -3, 9483","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 45 = 3*r, 24*r - 52 = c + 29*r for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -308807 (base 13) to base 11.\nAnswer: -704111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.06 in -4, 36678, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f**2 + 3. Let r = -146 - -150. Let v(h) be the second derivative of h**4\/4 + 2*h**2 + 32*h. Suppose 12 = -4*g - 0*g. Determine g*v(a) + r*n(a).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 1.722265 kilometers?\nAnswer: 1722265","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2388 - -157609\/66. Let h(g) be the second derivative of 0 + 1\/33*g**3 - w*g**4 - 20*g + 0*g**2. What is p in h(p) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as -8\/10831?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -2*(6*(2*sqrt(96))\/sqrt(4))\/(sqrt(40)\/(sqrt(5)*1) - -2*(sqrt(8)*1 + sqrt(8))).\nAnswer: -24*sqrt(3)\/5 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 38 = -4*b. Let a(z) = -z**3 + 18*z**2 - 17*z + 3. Let g be a(17). Suppose -g*w + 2*p = -b, -5*w + 4*w = 5*p - 41. Is 11 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -3 - 6 + 1 - 2 - 63*d. Is x(-7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 3*a**2 - 2220*a + 11025 = 0.\nAnswer: 5, 735","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-48))\/(25\/1500)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*y - 69 = 5*m + 71, 151*y + 28 = 80*y + 76*y + 2*m for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h**4\/7 + 3582*h**3\/7 - 91764*h**2\/7 + 772680*h\/7 - 2102400\/7 = 0. Calculate h.\nAnswer: 6, 10, 1168","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 AM and 11:52 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 12727 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 + 112. Let f be b(0). Let z = -59 + f. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 11974 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -2*k + 17 - 6, 17 = 4*k - p. Let g(r) be the second derivative of 0 - 4*r - 5\/2*r**2 - 3*r**k. Differentiate g(q) with respect to q.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 673 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of -j**5\/60 + 1088*j**2. Let k(u) = 26*u + 11. Determine k(i(a)).\nAnswer: -26*a**2 + 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((3850\/33)\/35)\/(15\/126)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 140 and 33076995?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*t**2 + 10*t**2 - 28*t**2.\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes before 6:18 AM?\nAnswer: 4:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1831*p**3 - 645*p**3 + 402*p**3.\nAnswer: -2074*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**2 + 7*o - 2. Let h be g(6). Let r = -6 + h. Which is smaller: r or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/4, 0, -0.09, -78, 4, 1\/77 in ascending order.\nAnswer: -78, -5\/4, -0.09, 0, 1\/77, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 20*d + 24*d - 531, d + 202 = 2*i. What is the remainder when 422 is divided by i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one fifth of a gram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 - -23. Let c = z + -12. Factor 0 + 0*p + 0*p**c - 2\/5*p**4 + 0*p**3.\nAnswer: -2*p**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 52*g**3 + g**2 + 3575*g wrt g?\nAnswer: 312*g + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 797579?\nAnswer: 797579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 11\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 22*y**2 + 2*y + 2415. Let z(j) = -2*j + 215. Give r(z(l)).\nAnswer: 88*l**2 - 18924*l + 1019795","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -954*a = -976*a + 352. Sort 5, 3, 2, a, 7 in descending order.\nAnswer: a, 7, 5, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-6) + (-4)\/(-3). Let i = 20\/3 - 22\/3. Which is the nearest to n? (a) i (b) 0.2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, b: 2}. What is prob of sequence hhbb?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 357, -177, 2, -4 in decreasing order.\nAnswer: 357, 7, 2, -4, -177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 457613 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = y + 7*y. List the prime factors of (-2 + 21\/y)\/((-10)\/(-5340)).\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 1251.\nAnswer: 5\/1251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 118 + -129.4. Round u to the nearest integer.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r + 4*r - 2*r.\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = 4*h - 14, s - 3*s + h = -1. Suppose 0*o + 6 = s*o. Suppose -w = -4*z + o*w + 197, -290 = -5*z - 5*w. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, q: 16}. What is prob of sequence qk?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 + 9*d - 4. Let x(i) = -3*i - 14. Let s(f) = -9*f - 41. Let k(t) = -4*s(t) + 11*x(t). What is the smallest common multiple of g(4) and k(4)?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 172797, 172795, 172793, 172791, 172789?\nAnswer: 172787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.28 rounded to 1 dp?\nAnswer: 6.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10870402285939 + -6.\nAnswer: -10870402285945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-14)\/(-133) - (-169)\/19. Suppose x*d = 14*d - 125. Solve 7*v - 2*v = -d for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**24\/a)\/((a**0*a)\/a*a)*(a\/(a\/a**(-27)))\/a**24)**(-33) assuming a is positive.\nAnswer: a**957","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 56161191871 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 (base 16) in base 13?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20, -42, -74, -122, -192?\nAnswer: -290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*x - x + 336. Let h be ((x - -4) + -4)*1. Let t = 48 + h. Which is the biggest value? (a) t (b) -4 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 187819.\nAnswer: 61, 3079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.8376975 rounded to two decimal places?\nAnswer: -1.84","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(48)*2)\/sqrt(8) - sqrt(108)\/sqrt(2))\/(sqrt(2)*-1*5 + 6*sqrt(18)).\nAnswer: -sqrt(3)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -219730*a**3 + 314457*a**2 wrt a?\nAnswer: -1318380","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 212 and 42082.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 10 - -556?\nAnswer: 566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*q = -152 + 110 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9094 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/17 (b) -0.5 (c) 5 (d) -3.446\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -13546 > -13542?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d + 4*d - 7*d**2)*(-3 - 1 + 3)*(d**2 - 3 + 3).\nAnswer: 7*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = 5*f + 2, c - 11 - 1 = 5*f for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u + 10*u**2 + 4*u + 2*u**2 + u as n*u**2 + c*u + y and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -65, -355\/4 in ascending order.\nAnswer: -355\/4, -65, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -4*g**3 + 2*g**2 - g - 3. What is the remainder when w(-2) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1775 (base 11) to base 3\nAnswer: 10002201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-9) - (710\/(-9) + 0). Let b = d - 78. Which is greater: 1 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1707 in 2, 0.2, 1\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 2 = 6. Let u(o) = -o**3 + 3*o - 2. Let h be u(c). What are the prime factors of (h\/6)\/(8\/(-216))?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102340591 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29113?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 5*x**3 + 25*x**2 + 192*x + 966. What is o(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gzggzg. What is prob of picking 1 z and 3 g?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.043467986 rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -4*c + 22. Let t be f(5). Suppose -t*j = 2*j + 3*o - 241, -5*o - 25 = 0. Is j a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 998403864?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 8. Suppose i = 2*j - y*j + 8, 4*i = j + 12. Suppose -i*d = -d. What is d rounded to the nearest one hundred?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 140 - -1674. Let t(l) = -4 - n*l + 0 + 1816*l + 4. Let b(k) be the second derivative of -25*k**4\/12 - k. Calculate t(b(q)).\nAnswer: -50*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - k - 15 = -3*w, -9 = -3*k. What is the remainder when 21 is divided by w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - ((-42 - -20 - -29) + -7)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 12, 3, 1, -7264?\nAnswer: -7264","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1276 and 4378.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8307?\nAnswer: 3, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 + 0.3. Let v = -0.22 + 0.12. Which is the closest to 0? (a) 0.5 (b) v (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(228)*-3)\/(sqrt(972) - (sqrt(972) + 2*sqrt(972))).\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 6.9 (b) 3\/4 (c) -1 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/4*(-24)\/40.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -0*u + 3*u. Calculate the remainder when 47 is divided by u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - -8 - ((-5348)\/(-600) + 84\/(-1050))?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*h - 2*w - 46, -3*w = -4*h + 6*w + 2 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3c6 - 931?\nAnswer: -d17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d**2 - 52*d + 60*d + 2*d**2.\nAnswer: 2*d**2 + 8*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) -17 (c) 8 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*n - 3*n. Let f be -6*-8*3*n\/(-54). Let g(u) = -2 - 4*u**2 + 5*u**2 + 0*u + f*u. Calculate g(-6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -9 - 156\/(-130)*50\/8. What is the closest to f in -21\/4, -0.01, 5?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -m + 4*r - 1, 0 = -3*m - 4*r - 10. Let f be (-3 + m)*(-2 + 3). Is -3 < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2180.1769 rounded to the nearest one hundred?\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/1288 and 81\/2.\nAnswer: 1288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 374 - 823. Let o = -451 - i. Which is the closest to -0.03? (a) 5 (b) -2\/11 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 11:41 AM?\nAnswer: 5:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 + 6*z + 1. Suppose 2*u = 3*v + 7, -3*v - 2*v = 3*u + 18. What is g(v)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) -1\/5 (b) 1\/8 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -74*i**2 - 13*i + 2. Let y(n) = -36*n**2 - 6*n + 1. Give -3*g(z) + 7*y(z).\nAnswer: -30*z**2 - 3*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 18433.5, 2.2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7901959?\nAnswer: 13, 607843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/333257 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1220208151 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (456\/100*1)\/((-206)\/21115). Are -468 and q non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n + 27. Let u be k(22). Suppose 3*j - 7 = -4*o + 3, u*o = j + 3. Solve 5*c + q + 29 = 0, -2*c + 4*q = q - j for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2*y + 3*y - y - 2 + y. Let s be r(8). What is the highest common factor of 12 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 215568, 862562, 1940884, 3450534, 5391512?\nAnswer: 7763818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g - 1. Let f be -2 - (-14 - -2) - (1 - -4). Let k(w) = -7*w - 1. Calculate f*y(t) - k(t).\nAnswer: 2*t - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -89433 by -171.\nAnswer: 523","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 552?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 24*q**2 + 6*q + 5. Give o(-1).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l + 39 = 2*l. Suppose j + 14 = s - l*j, -5*s - 4*j - 2 = 0. Solve -3*c = -2*c - 5*w, 2*c = s*w for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1917230, 1916833, 1915754, 1913651, 1910182, 1905005?\nAnswer: 1897778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**2\/8 + 807*h\/4 + 4869\/8.\nAnswer: -3*(h - 541)*(h + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 294112405*5.\nAnswer: 1470562025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 33 = -37. Which is smaller: -10\/7 or k?\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t**3 - 26740*t**2 + 1586695*t - 1559960 = 0. What is t?\nAnswer: 1, 59, 5288","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 113.583 - 115.7. What is n rounded to one dp?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 113509 and 3744583.\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 88523*s**3*t**6 - s**3*t**4 + 57*s**3*t**2 + 255*s**3*t - 2*t**2 wrt t?\nAnswer: 10622760*s**3*t**3 - 24*s**3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(55) - (sqrt(330)*2)\/sqrt(6))\/sqrt(11) - (sqrt(10)\/sqrt(2)*6 + -1))**2.\nAnswer: -14*sqrt(5) + 249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04937411 rounded to five decimal places?\nAnswer: 0.04937","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 39, 98, 183, 294, 431?\nAnswer: 594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11.17 + 0.07. Let m = 11.10000239 + v. What is m rounded to 7 dps?\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/5415998 and 51\/5264.\nAnswer: 43327984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of -t**8\/168 - t**7\/105 + 3*t**6\/20 + 3*t**5\/10 - 1483*t**2. Solve f(u) = 0.\nAnswer: -3, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 105 (base 6) to base 3\nAnswer: 1112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -4*t - 11 - 10, 0 = 3*w - t - 19. Let x be (-4)\/15*w\/(-2). Factor 4\/3 + x*d**2 - 2*d.\nAnswer: 2*(d - 2)*(d - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (0 - 1) + -2 + -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iy when two letters picked without replacement from yaattaaai?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.999771 nanograms to kilograms.\nAnswer: 0.000000000003999771","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.4 in 2, -15, 0.3, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -5.8, -1\/12, -1\/24, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*c = -50*c. Determine z so that 5\/4*z**3 + 0*z**4 + 0*z**2 - 5\/4*z**5 + c + 0*z = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*w**5 - 6422*w**4\/3 - 26618*w**3\/3 - 36142*w**2\/3 - 18058*w\/3 - 708 = 0. Calculate w.\nAnswer: -531, -2, -1, -1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 3\/4, 2\/187, -3\/7 in decreasing order.\nAnswer: 3\/4, 2\/187, -0.1, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - o. Let v be (2 - 4)*(o + -1). Suppose -n = -4 - v. Does 6 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (10 - 10 - 3*i)*(90 + 8 + 44 - 19) as x*i + j and give x.\nAnswer: -369","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 AM and 7:34 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a second in milliseconds?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 269 by 2.\nAnswer: 269\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -1995*d**4 - 7*d**2 + 1939*d - 28. Let w(n) = 1330*n**4 + 5*n**2 - 1293*n + 20. Let u(c) = 7*w(c) + 5*z(c). Find the second derivative of u(j) wrt j.\nAnswer: -7980*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8 + 2 + -5 + 0. Let c(v) = -v + 1. Let p be c(q). Let t be 7\/2 + 6\/p. Solve 0 = -t*l - 0*l + 4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 1 = -310*l - 0 + 1. Solve -1936\/7*q + 528*q**2 - 1588\/7*q**3 + l - 24*q**4 - 4\/7*q**5 = 0.\nAnswer: -22, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -268*i**2 + 1151*i - 580*i - 571*i.\nAnswer: -268*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -1289424500 to the nearest one million.\nAnswer: -1289000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19680 = 4*v + 7*j + 19680, 3*v - 15 = -2*j - 2 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (10 - 1)) + 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/40964 and -131\/4620?\nAnswer: 614460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1536644, 3073483, 4610322, 6147161?\nAnswer: 7684000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -3.2. Let y = 1 - 5. Let h = -4 - y. Which is smaller: h or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-21)\/30 + 4\/(0 + 4). Let m(v) be the second derivative of -l*v**5 - 2*v + 1\/6*v**3 + 1\/12*v**4 + 0*v**2 + 0. Give m(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + s - 8 = 0, -2*s = 2*k - 3*s - 4. Let o(m) = 3*m - 3. Let h be o(2). Suppose 0 = -3*p - h, 3*n - 2*p - 14 = 3*p. Solve n = -t + k for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -6\/7, 7, -1\/267, 0, -1\/8?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2208 times 211\nAnswer: 465888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 3*o - 78 = 0, -6*o = 4*t - 2*o - 56. Let u = t - 12. Suppose 3*k = f, k = -4*f + 5*f - u. Is f a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gh when two letters picked without replacement from {h: 4, g: 8, q: 1}.\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 16 - 16 = -4*k, 4*p - 4 = -5*k. What is the fourth biggest value in -0.3, p, 0.2, 1\/23?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of 1\/12*o**4 - 5\/6*o**3 + 0 - o**2 - 3*o. What is h(4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m + 5. Let p(t) = -t - 3. Let q be p(-5). Suppose -f = -5, -4*j = 4*f - q*f - 66. Calculate the remainder when j is divided by u(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.19 - -0.01. Let t = s + 0. Suppose 249 = -23*i + 180. Put i, t, 2\/9 in increasing order.\nAnswer: i, t, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of 5*w**9\/3024 - 5*w**8\/336 + w**7\/24 - w**6\/24 + w**3 + 14*w**2. Let g(d) be the first derivative of k(d). Factor g(h).\nAnswer: 5*h**2*(h - 3)*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m**4 + 8*m**4 - 2*m**4 + (1225 - 629 - 622 - 4*m)*(-m**3 + 3*m - 3*m) to u*m**2 + z + o*m + b*m**3 + j*m**4 and give b.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-62181)\/1269 - (-1)\/(2\/32).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (-2 + (-1 + sqrt(2448) - sqrt(2448)) + 3 + (sqrt(2448) + -1 + sqrt(2448) + sqrt(2448) - sqrt(2448)) - -6*(1 + sqrt(2448)*-2)))**2.\nAnswer: -1440*sqrt(17) + 244836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -192*d + 196*d + 4*u, -22*d + 2*u + 76 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44 (base 5) to base 14.\nAnswer: 1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r + 17. Let q be h(8). Which is the second smallest value? (a) -0.4 (b) q (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 1 = 2*x. Let m be 2727\/(-6) + 1 + x. Let z = m - -2213\/5. What is the common denominator of z and 45?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 62*y - 48 = -67*y, -3*y + 15 = -4*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 56 - 2. Calculate the remainder when r is divided by 23.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -773.3569 - 2779913.\nAnswer: -2780686.3569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of l**3 + 8319*l - 3310?\nAnswer: 3*l**2 + 8319","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-4\/3))\/(x*x**(-20)))\/((x*(x*x**(6\/11))\/x)\/(x\/(x\/(x**20\/x*x*x))*x)) assuming x is positive.\nAnswer: x**(1379\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in twenty-nine fifths of a kilometer?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1110 and 4065?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -6*q**3 - 3*q**2 - q. Let g(a) = -4*a**3 - a. What is -g(b) + x(b)?\nAnswer: -2*b**3 - 3*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -3*q - 791, 5*z = -4*q + 2*z - 1048. Let t = 322 + q. Calculate the remainder when t is divided by 21.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24805824 rounded to the nearest 100000?\nAnswer: 24800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(88)*1 + sqrt(88)) + (sqrt(88)*2 + sqrt(88))*-3)\/(sqrt(88)\/(sqrt(891) - (sqrt(891) - sqrt(891)*1)))*5 + -2)**2.\nAnswer: 900*sqrt(11) + 556879","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*f - 28*f = 210. Which is greater: f or 7?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, o: 1, y: 1, z: 1, e: 2, x: 1}. Give prob of picking 1 y and 1 o.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15.2 + -939878384.\nAnswer: -939878368.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3775.761 - -3612.38. Let q = 0.381 + m. Let i = 121.9 + q. What is i rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 o when two letters picked without replacement from ddwdzwzdowzzzwz.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2624, -21076, -71162, -168698, -329500, -569384, -904166, -1349662?\nAnswer: -1921688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2806 (base 14) in base 15?\nAnswer: 215c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*f + 7*f - 4*f + (3 - 5 + 0)*(2 - 2 - f) - 967*f + 464*f + 466*f)*(-3*f**2 + 2*f**2 - f**2 - 1).\nAnswer: 52*f**3 + 26*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 - 2. Suppose -3*k + j = 24. Let w(y) = y**3 + y**2 + y - 5. Let s be w(0). Are k and s equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**5 + 118*s**4 - 1218*s**3 - 9702*s**2 + 37044*s = 0 for s.\nAnswer: -7, 0, 3, 21, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 + -4. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from hhhhthhhthhthhthhh?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cm when two letters picked without replacement from mmmmmmzct?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 12:28 AM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - 6. Let a = 3304\/3 + -1092. Let o = -9 + a. Is n <= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3768 is divided by 628?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 4970040.\nAnswer: 1\/4970040","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 57 and 8124476?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 3. Suppose 3*l + 23 - 3 = 2*h, 2*h = -l + 4. What is the nearest to h in r, 0.3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12621 is divided by 435.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-21)\/5460)\/((-1)\/(-2))*2)\/((-102)\/340)?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000722131004 to 6 dps.\nAnswer: 0.000072","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 61736, 123471, 185206, 246941?\nAnswer: 308676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16? (a) 2\/9 (b) 908 (c) 4 (d) -3\/5 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**2 - 1458927*m.\nAnswer: -3*m*(m + 486309)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 21*s - 29*s + 32 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (6\/(-4))\/((-6)\/128). Suppose -4*k + i = -4. Let f(g) = g - 2*g - k*g**2 + 11*g**2 + 2. Give f(2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4957261 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 26*g*q**3 + g*q**2 + 141*g*q + 2*q**4 wrt q?\nAnswer: 156*g + 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 20 = 18 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -156\/11, 65, -30\/11 in descending order.\nAnswer: 65, -30\/11, -156\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2142, -4291, -6442, -8595, -10750, -12907, -15066?\n\"Answer: -g**2 - 2146*g + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from esisr. Give prob of sequence eisr.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 9*d + 17. Let n(o) = -16*o - 32. Let r(a) = -4*n(a) - 7*s(a). Give r(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.03 - 13.83. Let y = 14 + o. Which is smaller: 2 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a gram in milligrams?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -84*r**2 + 7*r + 3. Suppose -3*g = -13 + 25. Let z(m) = -251*m**2 + 20*m + 9. Let j(u) = g*z(u) + 11*n(u). Is j(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n - 1. Let b(h) = -2*h - 11. Let s be (8 + -3)*(-5)\/5. Let k = s - -4. Let l(g) = k*b(g) + 6*q(g). Give l(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-22*p**2 + p**2 + 2*p**2)*(-4 + 2 + 12) + (-2*p**2 + 5*p - 5*p)*(7 - 4 + 0) to the form v*p + t + i*p**2 and give i.\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 + 264 = 18*b. What is the remainder when (-2 - -5)*1*15 is divided by b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1 - -1.9. Let p = j - 2. Let f be ((-4)\/8)\/(1908\/96 - 19). Which is the smallest value? (a) p (b) f (c) 6 (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14 - -40. Factor 52*t**4 - 3*t**2 - j*t**4 + 3*t**2.\nAnswer: -2*t**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*o**2 + 489*o - 479*o - 13*o**2 to f*o**2 + u*o + t and give f.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x = -3*v - 15, -5*x + 1191*v - 14 = 1192*v for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 + 4 - -31) + -5 + (5 - 10)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by 325?\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -260 (base 12) to base 4\nAnswer: -11220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 12515 and 110592499.\nAnswer: 110605014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12.475 + 0.265. Let a = i - -0.21. Let u = a + 11.87. Round u to 1 dp.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -69973\/5 - -13926. Let m = 69 + l. Factor -m*y + 0 + 1\/5*y**2.\nAnswer: y*(y - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((1 + sqrt(475))**2 + 0).\nAnswer: -1904 - 40*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 650 and 208.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d\/d**(1\/4))\/(d*d\/d**(-2\/5)*d))\/(d**1\/d**1)*((d\/d**0)\/d)**21\/(d**(3\/7)*d*d\/(d\/d**(-2))) assuming d is positive.\nAnswer: d**(-151\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 52198 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 25 = -3*a, 0 = -f + 2*a + 3. Let l(s) = -9*s - 2. Let x be l(f). Let o = x + -27. Does 17 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -6*b**3 - 6*b**2 - 3*b - 5. Let p be (-24)\/3 - (2 - 5). Let y be c(p). Round y to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*x**2 - 5*x**3 + 0*x**3 + 34*x**2 + 105*x**2.\nAnswer: -5*x**3 + 146*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.28, 0.3, 230 in decreasing order.\nAnswer: 230, 0.3, -0.28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -13*a**2. Let z(u) = -19*u + 7. What is m(z(j))?\nAnswer: -4693*j**2 + 3458*j - 637","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2831*t**3 + 2763*t**3 - 3*t**2 - 5687*t**3.\nAnswer: -93*t**3 - 3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -33, -3, 3, -7, 12880.\nAnswer: -33, -7, -3, 3, 5, 12880","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 12098857 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14.954 + -0.046. Which is the second smallest value? (a) v (b) 6 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2. Let d(z) = -z. Let u(b) = -5*d(b) + h(b). Let x(a) = 413*a - 844*a + 432*a. Calculate -u(f) + 6*x(f).\nAnswer: f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 8 = 2. Suppose d*s - 5 = 5*a, 8 = -0*s + 4*s - 2*a. Solve x = -8 + s for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**3 + 5*r**2 - r - 2. Let f be g(-4). Let k be 4\/f - 2\/9. Suppose k = 5*o - 14737468 - 9262532. What is o rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 79050.37 litres?\nAnswer: 79050370","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 356950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u**2 - 8*u - 4. Let m = -188 + 203. Suppose 81*y - 84*y + m = 0. Give z(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 86*h**4*q**2 + 8747*h**3*q + 14*h*q - 30*q**2 + 870*q wrt h.\nAnswer: 1032*h**2*q**2 + 52482*h*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 845535940?\nAnswer: 2, 5, 83, 509359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ots when three letters picked without replacement from astxo?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -660, -641, -618, -591?\n\"Answer: 2*u**2 + 13*u - 675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (2*2*2*sqrt(30)\/((sqrt(6) - sqrt(96))*4)*-2)**2.\nAnswer: 98\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 478?\nAnswer: 2390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 0 = n. Let c be 2 - 2 - (-6)\/n. Suppose -7*j + 400000 = -c*j. Round j to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of -y**8\/448 - y**7\/280 + 3*y**6\/160 + y**5\/16 + y**4\/16 - 11*y**2. Factor d(q).\nAnswer: -3*q*(q - 2)*(q + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 19*b**2 - 4*b. Let k be n(4). Suppose 754 = 2*u + k. Suppose -z = -577 - u. Round z to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e - 36?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -16*u**3 - u**2 - u - 1. Calculate the remainder when l(-2) is divided by -1 - (-6 + -35 - (4 - 1)).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 12:47 AM?\nAnswer: 10:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7 and 7791?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 10*w + 19. Let o(y) = -9*y - 20. Let l(c) = -3*d(c) - 2*o(c). Differentiate l(k) with respect to k.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s**(-7\/4)*s)\/s*s**30*(s**(-7)\/s)\/s**14)**(-2\/21) assuming s is positive.\nAnswer: s**(-29\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1852)\/112 + 8\/28. Let j = y + 4. What is the common denominator of j and 59\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22\/55*(-5)\/3.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-36)\/11)\/((-216)\/(-1584))\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*i - 100 - 130 = 0. Let a = 38 + i. What is the greatest common divisor of a and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 798 divided by 5?\nAnswer: 798\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2782909, 2782907, 2782905, 2782903?\n\"Answer: -2*d + 2782911","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -75 - -75 - (-1 - 6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 182000854?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -109*i**2 - 2863*i**2 + 1 + 425*i**2 + 90 - 2257*i**2 wrt i?\nAnswer: -9608*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 38.33027ml?\nAnswer: 0.03833027","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, 4, -94 in ascending order.\nAnswer: -94, -3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -58 - -227\/4. Put -5, 0, h in descending order.\nAnswer: 0, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/10 - (189\/(-162))\/(63\/(-27))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -83\/26367 and -163\/1122?\nAnswer: 52734","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -32 + 56. Does 3 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(119)\/(sqrt(7) + (sqrt(189)\/sqrt(3) - sqrt(63))\/sqrt(9)).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1*4\/7)\/((11176\/635)\/((-20)\/(-25)))?\nAnswer: 2\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 5*r**3 - r. Suppose 3*x - 4 = -7. Let o be l(x). Let z(t) = 2*t + 2. What is z(o)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 1040*c**5 - 3178*c**2 + 6*c + 6. Let w(l) = 2*l**5 + l**2 - 2*l - 2. Let m(a) = -3*w(a) - y(a). What is the third derivative of m(v) wrt v?\nAnswer: -62760*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17559, 34920, 52281, 69642?\nAnswer: 87003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 4*s. Let m(x) = 13*x + 2. Let t(f) = -128*f + 22. Let c(k) = -10*m(k) - t(k). What is c(j(l))?\nAnswer: -8*l - 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 69720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 589 = -190*o + 1467 + 2030 + 3742 for o.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33 and 6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1154\/(-10710) - (-6)\/15. Let x be 2\/(-306) - 0\/1. Let b = a + x. What is the second smallest value in 2\/3, 5, b?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j**3 + 23*j**2 - 17*j - 1. List the prime factors of y(-11).\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 at most as big as 2965?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = s + 19, 60*s - 61*s - r = 1. Let y(g) = g**3 + 5*g**2 + g + 4. Give y(s).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23312023 + 1303?\nAnswer: 23313331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0.2, 818, 3\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-18262)\/(-828) + 3\/(-54). Let f = 16 - 11. Suppose -17 = -f*t + 38. Calculate the greatest common factor of r and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*v + 4 = 11*v - 12*h, -2*v + 2*h = -10 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 13) in base 4?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*c**2 + 2221 - 5*c**2 - 2221.\nAnswer: -11*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -11*p - 13*p - 72 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a decade in years?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-12)\/5)\/(24\/(-80)). Let c be (-1 - 210\/g) + (-6)\/(-24). Let f be (-2)\/2*c\/9. Solve 0 = -f*p + 2*p + 3 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 i when two letters picked without replacement from {i: 1, a: 2, u: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 18 = 4*d + 4, -12 = 2*d + 2*x for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - -4 - (-5 + 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 PM and 4:28 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f + 2*f - 51. Let h = 10 + f. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 2 = -3*f, 19*q + 35*q - 6 = f + 56*q for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -128 + 35. Let g = l + 124. Is 8 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.9 - 96.1. Let i = 1907 - 2013.3. Let n = g - i. Round n to 0 dps.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15107 is divided by 236?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 8922, 35912, 80900, 143892, 224894, 323912, 440952?\n\"Answer: l**3 + 8993*l**2 + 4*l - 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = -2*x + 12, 0 = c + 5*x - 3 - 11 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/15)\/(78\/65)?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 40 + -10. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*r**2 + 0*r + 0*r)*(2520 - 2723 - 3552 - 4187 + (1 - 3 + 0)*(-1 + 2 + 0) + 5 - 2 - 1) in the form u*r**2 + j*r + y and give u.\nAnswer: -23826","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 24 = v - 4*i, 4*v + i - 30 = 0. Suppose -4*d = 4*q - v, -q - 3*q - 3*d + 9 = 0. Solve -c + h = -q, 0*c + 5*h + 15 = -2*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 - 8. Suppose 3*q = -g + 587 - 568, 2*g + 18 = 2*q. What is the closest to g in b, 1\/6, 1\/3?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 45 and 345?\nAnswer: 1035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*n - 24*n = 19*n + 1116 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((2*sqrt(200)*-2)**2 - sqrt(200)) + ((-4 + sqrt(32) + 1 + sqrt(32) + sqrt(32))*4)**2.\nAnswer: -1162*sqrt(2) + 7957","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -322 + 336. Let k be 68\/14 - 5 - 5\/p. What is the closest to -1\/4 in 2\/45, k, 2\/21?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 3, 4, -0.4, 417?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 + 5*q**2 + 6*q + 6. Let s(v) = v**2. Let h be s(-2). Let f(m) = 2*m - 2. Let c be f(h). Determine x(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:57 AM and 7:25 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*w + 0 + 52\/11*w**3 - 14\/11*w**4 + 16\/11*w**2.\nAnswer: -2*w**2*(w - 4)*(7*w + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 210764 is divided by 12394?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -684\/5, 0, -3, -1, 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2466*8.\nAnswer: -19728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -1. Let f(s) = 3*s**2 + s + 4. Let g(c) = 2*c**2 + c + 3. Let o(m) = -4*f(m) + 5*g(m). Give o(u) - y(u).\nAnswer: -2*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1\/3, -26.9, 3\/2.\nAnswer: -26.9, 1\/3, 3\/2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 35051\/6? (a) -1\/3 (b) 0 (c) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -47, -380, -1263, -2966, -5759, -9912, -15695?\n\"Answer: -45*u**3 - 5*u**2 - 3*u + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 432*p**2 - 13434*p + 180*p**2 + 13449*p as h*p**2 + c*p + w and give c.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.2 (b) -8 (c) 29513 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 11*f + s = -7*f + 2*s, -4*f + s = 16 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 897768 and 151182?\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -144*x**2 + 2*x - 2572.\nAnswer: -288*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + 2)*(-12)\/(-18). Suppose 0 = 3*u - 6, 3*u - s - 2 = 2*o. Solve 0 = 2*i - n + 3, -5*i - 7 + o = -n for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 6*n**2 + 510*n + 182. What is the least common multiple of v(-85) and 130?\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-m + m + m)*(-2 + 0 + 0) - 2*m - 5*m + 2*m + (3 - 3 + 2)*(1 - 1 + m))*(16 + 4 + 5).\nAnswer: -125*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -526733 + 263309 + 263424 + 9*k.\nAnswer: 9*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 + -3. Suppose 0 = 3*q + b*q. Solve 3*m = -q*m - 12 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 454473 and -0.38.\nAnswer: 454472.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -4*j - 10028, 12*j = 7*j + 3*n - 12528. Let q be ((j\/30)\/11)\/(2\/(-50)). Calculate the highest common divisor of 114 and q.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -3*z**3 + 12*z**2 + z - 5. Calculate m(5).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/18 + (-141)\/54*-2. Solve 3*y - 2*y + 3*o + 7 = 0, 0 = -4*y - c*o - 14 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 63\/((-12700)\/8 + -4). Let v = -103231\/61538 - p. What is the common denominator of v and 119\/6?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2*h**3 - 2*h**2 + 2. Let y be d(-1). Let o = -4 - -9. Which is the smallest value? (a) o (b) -3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22114 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/4 and -115\/636?\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 474*g**2 - 5 + 294*g**2 + 459*g**2 + 449*g**2 - 1208*g**2.\nAnswer: 468*g**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15781184?\nAnswer: 2, 191, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 533202*d**2 - 101279*d**2 + 7*d - 7*d.\nAnswer: 431923*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25.15 - -671.55. Let m = t - 646. Which is the closest to 0? (a) -8\/11 (b) -3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30286099?\nAnswer: 30286099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -9*s - 56. Let m be g(-8). Solve 17*w - m*w = 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in six fifths of a tonne?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26928?\nAnswer: 2, 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jwjjtwjjjjwtjwttjjtt. Give prob of picking 2 w and 2 j.\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26 + 3. Suppose 19 = 5*k - 2*z, 2 = -3*k - 4*z + w. Solve -o = i + 4, 16 = k*o + 2*i - 6*i for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -36*i - 3991. Let f be o(-111). Solve k - 18 = -5*r, 0*r + 2*r = f*k + 18 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -37*n + 117. Let i be m(5). What is the common denominator of (-3)\/15*0 + i\/(-154) and 43\/55?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -242 + 382. Let v = -82 + b. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 6310 - (-16 + 4 - -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-3))**(1\/46)\/(s**(1\/8))**(-3\/14) assuming s is positive.\nAnswer: s**(-99\/2576)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a**2. Let j(u) = 135*u**2. What is f(j(p))?\nAnswer: 36450*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 0)*(11*f - 9*f + 9*f)*(2 - 2 - 1)*(35 - 17 - 8)*(-f**2 + 3*f**2 + f**2).\nAnswer: -330*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u**3 - 8*u**2 - 9*u - 3. Let w be a(5). Let h(b) = b**w + 3*b + b**2 + 14 + 3*b**2 - 1. Is h(6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25689669 to the power of 1\/2, to the nearest integer?\nAnswer: 5068","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -358886.913 - -359057. Let l = -121 - 49. Let n = l + v. Round n to two dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38639 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7554 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes after 6:23 PM?\nAnswer: 12:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 3832 = 2*k, -48*b + 5748 = 3*k - 43*b. Round k to the nearest 1000.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -134376 divided by 5599?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24 and 41160.\nAnswer: 41160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1430733 is divided by 265?\nAnswer: 263","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 137.1 + -137. Suppose -3*f + 2 = 8. What is the nearest to r in -4, -0.05, f?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -12 - 8. Let n(v) = -9*v - 11 + 18*v + i + 12*v. Is n(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(500) + sqrt(500) + 2 + (sqrt(500) + 0)**2 + -3 - (-2 + (2 + sqrt(500))**2*2).\nAnswer: -507 - 60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.059018g to micrograms.\nAnswer: 2059018","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 3*u - 16. Factor k**2 - k**4 + 16 - u.\nAnswer: -k**2*(k - 1)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -2*p**2 + p**2 - p**3 - 3*p + 4*p. Let a be o(-2). Suppose 2*q - 259 = -3*j, a*j + 4*q - 178 = -0*q. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*g - 90 = -4*t - 39*g + 19*g, -4*t - 41*g = 554 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.14 - -1.5. Let g = 1.56 - t. Let q = 1.8 + g. Sort 0, -0.33, q in ascending order.\nAnswer: -0.33, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = 2*p + 23 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 120 and 3240.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 + 2. Suppose -4 = -w - j - 0, -s*w + 3*j + 16 = 0. What is the third derivative of -2*y**2 + y**4 + 0*y**4 + 0*y**2 + 2*y**w wrt y?\nAnswer: 72*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6878 to the power of 1\/3, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 4 + (2 - 1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8681 + -6126. Is (-3)\/(-2 - c\/(-1285)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 603667318?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 0*m - 82 = -2*z, 0 = 3*z + 2*m - 123. Let i = 19862 - 159245\/8. Let w = z + i. Calculate the common denominator of -5\/14 and w.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*s**2 - 3)*(-2*s + 3*s - 3*s) + 6*s**3 + 4*s**3 + 6*s**3 + (-s - 2*s + 2*s)*(-s**2 + 2 - 2) + 2*s**3 + s**3 - 2*s**3 + 4*s + s**3 - 4*s.\nAnswer: 23*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24147 + 24147. What is j in m*j + 0 + 2\/9*j**3 + 2\/3*j**2 = 0?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/(-48))\/((-1)\/2*3).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/4667208 and -97\/871896.\nAnswer: 79342536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-6)\/8*(-54 + 42). Let u(y) = 48*y - 9. Let h be u(8). Suppose 174 = w*g - h. Is 14 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54260 = 5*y + 2*r, -y - 13*r + 10852 = -14*r. Does 134 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - (-17 - (-1 - 8 - 3)).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/6 in -0.4, 3\/2, 1\/191, 39, -8?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 401.199998031 + -401.2. Round b to seven dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 30472 - 30472.3. Which is the closest to 0.2? (a) -3 (b) -0.2 (c) i (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 238 is divided by 18?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 60293*g + 6*g**3 + 5*g**3 + g**2 - 60291*g - g**2.\nAnswer: 11*g**3 + 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 0.697857\nAnswer: 1.302143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 10 = p, -5*w - 3*p = -4*p - 46. Calculate the greatest common divisor of w and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 157 - 69. What are the prime factors of u?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**3 - 4*x**2 + 3*x - 5. Let o be n(4). Suppose -o*w - 6*w = 52. Which is the closest to 0? (a) w (b) -3 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0123 rounded to 1 dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 1:30 AM?\nAnswer: 2:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 + 8*f**2 + 12*f + 47. Let n be t(-7). Suppose -n*c + 15*c = -24. Which is smaller: -4 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lvuluclvvv. Give prob of sequence ul.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 263362?\nAnswer: 2, 11, 11971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 354\/(-59) - (4 - 17). Solve -b - 5*j - 21 = 0, -5*j + o*j + 11 = -3*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(3) + 2) - sqrt(30)\/(sqrt(10) + sqrt(70)\/sqrt(7)).\nAnswer: sqrt(3)\/2 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z, 1 b, and 1 c when four letters picked without replacement from bccbczccbcczczzccc.\nAnswer: 11\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jyoe when four letters picked without replacement from oeoeojoy.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2)*g)**5\/(g**(-2\/5))**(2\/37) assuming g is positive.\nAnswer: g**(-921\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 11794.\nAnswer: 47176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 298*w - 217*w - 1539 = 0. What is the remainder when 53\/2 - (-3)\/6 is divided by w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**(-3\/5)*z*z*z)\/z**(4\/3))\/(z**5\/z**(-2\/3)))\/(((z\/(z*z**6))\/z*z)\/z**5*z\/z**(-2\/7)*z\/(((z*z\/(z\/(z**(-5)\/z))*z*z)\/z)\/z)) assuming z is positive.\nAnswer: z**(4\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = 3*w + 14, 25*w = 20*w + 2*p - 26 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 = 4*z - 10*d, 441*d + 11 = 4*z + 446*d for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nv when two letters picked without replacement from {f: 1, v: 3, n: 11}?\nAnswer: 11\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -320955 less than or equal to -321048?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.7 + -1.1. What is the nearest to -2 in -0.2, 9\/11, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + (-1074)\/(-54) + 1 + -5?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76921850?\nAnswer: 2, 5, 31, 49627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10869956?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as -2\/3587?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 - 16*s**2 + 9*s + 5. Let b(g) = g**3 + 14*g**2 - 8*g - 4. Let j(f) = -7*b(f) - 6*u(f). What is j(-4)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 13*t**2 + 37*t - 4. Let w be i(-3). Solve 0 = -g + 3*u - 2, -3*g + g + w*u = 4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from jjj.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 7612544.\nAnswer: -3\/7612544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21480\/143 + 10276675\/68068. Let t = o - 2\/119. Sort 1, t, -114 in decreasing order.\nAnswer: 1, t, -114","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**3 + 4*m**2 - 6*m. Let s be l(-5). Suppose 2*c - 4 = 5*v - 2*c, 3*v + s*c = 5. Let b(f) = -2*f + 10. Let n be b(v). Solve -8*p - n = -3*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 + 63*l - 5325. Give o(-111).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 316.2968 millennia?\nAnswer: 3162.968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 211627 and 420407?\nAnswer: 949","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-25)\/3*(-279)\/155.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113179 = -4*h + 3*z, 4*h = 9*h - 4*z + 141475. What is the units digit of h\/(-76) - (-2)\/(-8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 200771 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4939 * 111.\nAnswer: 548229","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of 0*j**6 + 0*j**5 + 0*j**4 - 4\/3*j**3 - 34 + 22\/7*j**7 + 0*j**2 + 0*j. What is the third derivative of p(x) wrt x?\nAnswer: 2640*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4073 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w + 13. Let m be n(-12). Let u = 7 + 2. Solve -4*k - m = 4*t - u, -5 = -5*t for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 162 and 216.\nAnswer: 648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -178 by -3204.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of 0 + 6*z + 0*z**4 - 6*z**2 - 11\/10*z**5 + 0*z**3. Differentiate v(l) wrt l.\nAnswer: -66*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*a + a - 5*a)*(-274 + 976 + 272)*(-1 + 0 - 1)*(1 + 1 - 3) as s + c*a and give c.\nAnswer: -1948","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*5*(3*sqrt(209)*5)\/(sqrt(11) - sqrt(176)*2) + -3.\nAnswer: -3 + 150*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34964541?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 3 + 5 - 2*x)*(-2 + 2 + 1).\nAnswer: -2*x - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(250)*2*-3)\/(sqrt(720)*-1 - sqrt(720)))\/(3*sqrt(40) - (sqrt(120)\/sqrt(3))\/sqrt(4)).\nAnswer: sqrt(5)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2231232544?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -2555660 (c) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 843*t - 1295. Determine c(2).\nAnswer: 391","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + 1101001010000?\nAnswer: 1101001010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2835480 = 96*r - 2831352 for r.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 2 v when four letters picked without replacement from {v: 4, l: 10, i: 2}.\nAnswer: 27\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-7)\/(b*(b\/b**(2\/13)*b)\/b))\/(b*b**(2\/17)*b*b**(1\/2)))\/((b\/(b**(-2\/7)\/b))**(-8\/17)*(((b\/b**6)\/b)\/b)\/(b**(3\/7)\/b)) assuming b is positive.\nAnswer: b**(-12251\/3094)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(-2)*5*(-2)\/(-150). Let s = -5.94 - -5.4. Let r = s - -0.04. Which is the second biggest value? (a) f (b) r (c) 51\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 6 - 2 = 0. Sort x, -3, -1 in decreasing order.\nAnswer: -1, x, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -2*v**5\/11 + 24*v**4\/11 - 2*v**3 = 0.\nAnswer: 0, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -277 = -585*u - 862 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -69795 or -67820?\nAnswer: -67820","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4042*o - 75 = 4035*o + 16 for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3120*z**5 + 2*z**2 + 3141 wrt z.\nAnswer: 187200*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23199)\/342 - 80\/(-96).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-4 + 2)) + 1 - 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8732661?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**3 - 366*t**2 + 105570*t - 5100850 = 0. Calculate t.\nAnswer: -353, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11.8 - -36.8. Let j = 30 - i. Let l = -1\/10 - -4\/15. What is the nearest to j in l, 2\/9, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, r: 6, n: 2, c: 2}. Give prob of picking 1 n and 2 t.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1793513 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wd when two letters picked without replacement from {w: 1, y: 1, d: 2, f: 4}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2\/3, 1, -15.\nAnswer: -15, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 13768957 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -3*k - 2*t, -5*k + 2*t - 3 = t for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-207)\/(-27))\/(2\/6). Suppose g - 3*f = w, -g + f - 4*f = -41. List the prime factors of g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/(-9)*(-144)\/(-80).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16033878.\nAnswer: 2, 3, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -54.\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*t**3 + 99*t**2 + 231?\nAnswer: -6*t**2 + 198*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94 = -3*q - 20*d, -5*q - 5*d - 29*d + 35*d - 15 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -32, -45, -58, -71, -84?\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 318\/(-46) - (11 - 18)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3113.9998459 - 3114. Round o to 5 dps.\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 48126 + -48123. Suppose -3*i + 13 = -5*y + 3*y, -4*y = 2*i - 14. Suppose 2*p + 11 = b, b + 0 = -2*p - 1. Solve r*n - b = y for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 + -3 + 5 + -7 + 0\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-6))\/(1\/(-40) + (-92321)\/(-257640)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -1735*b + 364359. What is o(210)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**2 + 3485166*y - 1012198503963.\nAnswer: -3*(y - 580861)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kn when two letters picked without replacement from {y: 1, k: 1, n: 1, b: 1, r: 2, q: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5.11 + -0.11. Let s = -129.74 + -2.26. Let q = s + 127. Sort 1\/3, q, j, 2 in decreasing order.\nAnswer: j, 2, 1\/3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 667, 1332, 1997?\nAnswer: 2662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.37369 and -30?\nAnswer: 11.2107","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -42.4 + 42. Sort -5, 5, 0.5, n.\nAnswer: -5, n, 0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**2 - i**2 + 0*i**2)*(-4 - 1 - 2)*(-2 + 2 + 3) + (i - i + i**2)*(1 + 0 + 0).\nAnswer: 22*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -17*k + 6. Let y(j) = 8*j - 4. What is 3*r(i) + 5*y(i)?\nAnswer: -11*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/((5\/2)\/(-11 + 6)). Suppose 29*c - 31*c + 2 = 0. Calculate the greatest common factor of c and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 141 - 42?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (0 + sqrt(448))*-6 + (-3*(sqrt(7) + sqrt(28) + 1 + (2 + sqrt(7)*-2 - sqrt(7))))**2.\nAnswer: -48*sqrt(7) + 82","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 55221?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + 32*t**2 + 204*t + 177. What are the prime factors of i(27)?\nAnswer: 2, 3, 5, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -3*n**3 - 33*n**2 - 5*n - 5. Let a(m) = -m**3 - m**2 - m - 1. Give -5*a(t) + b(t).\nAnswer: 2*t**3 - 28*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 363\/(-2420)*(-8)\/18.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 196\/(-138) - ((-182)\/(-161))\/(-13)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 + -3. Suppose o + j*f = 5*f + 12, -5*o - 2*f = 21. Let v(s) = s**3 - 16*s**2 + 29*s - 17. Let n be v(14). Is n greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 41, 1, -4, -585, 5 in increasing order.\nAnswer: -585, -4, 1, 5, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(7) + 3*(2 + sqrt(7)))*-2.\nAnswer: -8*sqrt(7) - 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3131 - -2709. List the prime factors of m.\nAnswer: 2, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(4)\/(sqrt(2) - sqrt(12)\/(-1*sqrt(6))) - 2*sqrt(18)\/(3*sqrt(9)).\nAnswer: -sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(500) + (-2*sqrt(500))**2 - (2 + (sqrt(500) + (sqrt(500)*1 - sqrt(500)) + sqrt(500) - sqrt(500)))**2 - ((-1*sqrt(5))**2*2 + 1 + 1).\nAnswer: -30*sqrt(5) + 1489","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4630519 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -105524, -211433, -317342, -423251, -529160?\nAnswer: -635069","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2. Let g(y) be the third derivative of y**5\/30 + 277*y**3\/3 + 170*y**2. Give g(a(f)).\nAnswer: 2*f**4 + 554","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 266345 is divided by 567.\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 10:06 AM?\nAnswer: 1:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 14779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - -13?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 162 and 198.\nAnswer: 1782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6 - 0)*(4\/3)\/1. Suppose 2*l = q*l - 84. Is l even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 4*t = 4*h + 17, -2*h = -2*t - 16 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 226*y - 839. Let j be p(4). Solve 53 = 6*x + j for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2\/15*b**4 + 0 - 26\/5*b**2 - 8\/3*b - 12\/5*b**3 = 0. What is b?\nAnswer: -1, 0, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -216 - -971. Calculate the remainder when r is divided by 42.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, -17, -79, -177, -317, -505, -747, -1049?\nAnswer: -1417","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.072295192 to 4 dps.\nAnswer: -0.0723","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*p - 25 = 27 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of -3*j**5\/5 - 9*j**4\/4 - 3*j**3 - 3*j**2\/2 + 21. Factor o(n).\nAnswer: -3*n*(n + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 33 (b) -2\/9 (c) -12 (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33 - r + 5*r - 33.\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21021 - 3?\nAnswer: -21030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -9, -31, -47, -57, -61, -59?\n\"Answer: 3*j**2 - 31*j + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -4, -1\/6, 2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1709 - 1598. Let v(d) = d + 2. Let c be v(5). Suppose x = c*q - 575. List the prime factors of q.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(2))*-3 - (1 + sqrt(2) + 1).\nAnswer: -4*sqrt(2) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*t + 10*t - 117*t**2 - 22*t as h + z*t + u*t**2 and give u.\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of -5*b**2\/2 - 4*b. Let j(h) = h + 1. Let f(z) = d(z) + 2*j(z). Is 6 a factor of f(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 30\/50*3235 + 2?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2. Let g(t) be the second derivative of 2173*t**4 - 18*t - 412. Give q(g(i)).\nAnswer: -679957776*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -4007, -15954, -35873, -63770, -99651, -143522, -195389, -255258?\n\"Answer: -n**3 - 3980*n**2 - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -6*m. Let l(i) = -12*i - 16. Determine l(d(s)).\nAnswer: 72*s - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.41976917 rounded to one dp?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b + 102 + 438 = 0. Calculate the greatest common divisor of b and 160.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -5*y - 6*y + 0*y**2 + 11 - 5*y**2 - 10*y**3. Let r(w) = 2*w**3 + w**2 + 2*w - 2. Suppose 0 = 2*h - 7 + 3. Let z = -9 - h. Determine z*r(j) - 2*b(j).\nAnswer: -2*j**3 - j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -736*w - 7518 - 11301 = 200*w - 3843 for w.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*x + 4*x**3 + 19*x - 3*x**3 - 2*x**3 + 230*x**2.\nAnswer: -x**3 + 230*x**2 + 13*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1782, -4223, -6886, -9771, -12878, -16207, -19758?\nAnswer: -23531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 27 = -j + 3*j, -4*j + 2*m + 34 = 0. Suppose -j = -5*i + 9. Solve i*v - 4*v = z + 9, -5*v - 37 = 3*z for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-9)\/6)\/(3\/(-8)). Suppose -3*i + 3*q + 21 = 0, 5*i - x*q - 31 = -0. Let h be -3 - i*(-3 - -2). Let k(s) = -s**3 + s + 4. Give k(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 8 = -2*l, 5*l + 7 - 3 = -3*n for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -4*h**2. Suppose -270 - 94 = -2*d. Suppose -6*m + 317 = 305. Let o(y) = m*y**2 - d*y + 182*y. Determine o(g(x)).\nAnswer: 32*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57959?\nAnswer: 11, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1291618 is divided by 114.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8229 + 10033. What are the prime factors of k?\nAnswer: 2, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q + 5. Let h(o) = 2*o + 6. Let j(n) = -2*h(n) + 3*w(n). Let p = -4 + 7. Is j(p) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -592 divided by -4\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9*119\/(-42))\/(-11 - (-231)\/12). Solve -6\/11*m**2 - 100\/11*m + x = 0 for m.\nAnswer: -17, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2313068*x**3 - 2307309*x**3 + 4616212*x**3.\nAnswer: -4165*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together -37 and 2216724643.\nAnswer: 2216724606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18905972 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 - 4*h**2 + 12*h + 33. Let z be p(-5). Let v = 0.3 + 0.3. Let f = v - 0.1. Sort z, -0.3, f in increasing order.\nAnswer: z, -0.3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/18 + ((-762)\/270 - -3). Factor 2\/5*i**2 + 0 + v*i.\nAnswer: 2*i*(i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86132113141 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20.3 * 5.\nAnswer: -101.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d, 1 r, and 1 w when four letters picked without replacement from {w: 1, r: 4, d: 3}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2 + 14*z + 27. Let c be b(-12). Suppose -c*l + 2 = -4*i, 4*l - 3 = 2*i + 3. Calculate the greatest common factor of i and 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.628 times 0.027716?\nAnswer: 0.433145648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1092736 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -a + 4, 2*a + 0*l = -5*l + 8. Let p be a\/8 - 2\/(-4). Calculate the remainder when 1 + 0 - (-55)\/p is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2, -0.061, -43433?\nAnswer: -0.061","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*t - 28*t + 151. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 11*u - 822. List the prime factors of u.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 - -3) + 60\/12. Suppose -54 = -b - g*b. Solve 2*s = 2*i - 7 - 1, -3*s - 4*i + b = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-1*(-1 + (0 + 3 + -2*(1 + sqrt(153)*-1 + sqrt(153))*-5)**2).\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2156835701.\nAnswer: 89, 107, 226487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 7*n - 93. Let v be (1\/2*0)\/(11 - n). Solve 5*q = -i - i + 18, -2*q + i = v for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mkwp when four letters picked without replacement from mmkmkwmggqkp?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-24))\/(-2*18\/2736).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -4*b**4 - 16*b**3 - 24*b**2 - 16*b - 4 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 10 (b) -9\/49 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11965 is divided by 386.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 46154 divided by -3\nAnswer: -46154\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -81.373 + 0.9.\nAnswer: -80.473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5 (b) 25211 (c) -1\/4 (d) 0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872) + 2 + -3 - (sqrt(1872) - 6*-3*sqrt(1872)))**2.\nAnswer: 432*sqrt(13) + 606529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**2 + 2 + o**2 + 2*o**2 + 6*o**2 + 72*o + 6*o**2 - 16*o**2.\nAnswer: o**2 + 72*o + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.3 - 1. Let r = i - -1.1. What is the second smallest value in r, -0.4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -493, -710, -1317, -2506, -4469, -7398, -11485?\nAnswer: -16922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-111)\/(-9) + 4\/6. Let r = 11 - y. Let d = r + 2. Solve -4*n + d*n - 8 = t, n - 7 = 2*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(176)*-5 + -4.\nAnswer: -20*sqrt(11) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3847348, 3847368, 3847394, 3847426, 3847464?\n\"Answer: 3*w**2 + 11*w + 3847334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/2*((-180)\/(-55))\/4*(-1014)\/1521?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1206 and 149544.\nAnswer: 149544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 + 19*v**2 + 27*v - 46. Let r be u(20). Let p(i) = -r + 94 - i. Let m(f) = -10*f**2. Determine p(m(x)).\nAnswer: 10*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of g**3\/3 - g**2 + 5. Factor d(a).\nAnswer: a*(a - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2*1*(3 + (-12)\/8). Suppose 3*q - 42 = -m*q. Let h be 422\/q - (-4)\/(-14). Calculate the greatest common divisor of h and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Work out 19 * -20.\nAnswer: -380","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -55658093 and 0.1.\nAnswer: -5565809.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -1484\nAnswer: 1\/371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -4, -18, -54, -118, -216?\nAnswer: -354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35) - ((sqrt(2835)*1 - sqrt(2835)) + sqrt(35)))\/(sqrt(7) + (sqrt(175) - sqrt(175)*2 - sqrt(175))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2845096 a multiple of 1906?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*t**2*u**2 - 686*t**2*u - 5*t**2 + 7*t*u**2 - 1315*u**2 wrt t.\nAnswer: 16*u**2 - 1372*u - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 3 - 1)*((-4*c + 4*c - 7*c)*(0 + 2 + 0) + (c + 1 - 1)*(177 - 142 + 80)) as r*c + w and give r.\nAnswer: 303","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 165025?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**5 - 3*p**5 + 4*p**5 + (-3*p**2 + 2*p**2 + 0*p**2)*(2 + 1 - 5)*(-3*p**3 + 2*p**3 + 10*p**3).\nAnswer: 20*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -914 + 341. Let a = -333 - m. Does 48 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r, 1 j, and 2 x when four letters picked without replacement from {x: 3, e: 4, j: 2, i: 2, b: 3, r: 1}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1.19 * -0.1\nAnswer: -0.119","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/5 of a hour?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + m - 14327 = -3*o, 5*m - 19118 = -4*o. Let p = o - 486. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/17 in 0.4, 1, 11, 2\/3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -71.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 11 = 4*x, -x + z + 3*z = -6. Let i = x - 2. Solve -6*k = -2*k, i = j + k - 3 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 54 + -51. Which is the third biggest value? (a) -3 (b) v (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/64 and -45\/328.\nAnswer: 2624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-5) + 2)\/(618\/(-515)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32101453 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 731737?\nAnswer: 731737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2. Let h(t) = t - 13. Let b be h(6). Let o = -5 - b. Let l(p) = -p + 0*p - o*p. Calculate r(l(z)).\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -17 + 2 - -13?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (0 + sqrt(2299)*-2)**2 - (((sqrt(95)\/sqrt(5) + -2 - sqrt(19)) + sqrt(19))**2 + sqrt(152)\/(3*sqrt(8))).\nAnswer: 11*sqrt(19)\/3 + 9169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 3\/(3 - (-9)\/(-4))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**3 + 2*f**2 + 10*f - 1. Let l be w(3). Calculate the highest common factor of 230 and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 6, h: 3, e: 1, g: 1, s: 2}. Give prob of picking 2 h and 1 g.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -80433 + 9*q**2 + 80433 + q**2.\nAnswer: 10*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 16712 - -18?\nAnswer: 16731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-337 - 351 - 81)*(3*a**3 - 12*a**3 - 15*a**3 + a**3) to the form v*a + b*a**3 + q*a**2 + j and give b.\nAnswer: 17687","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -87013\/756 + 1619\/14. Calculate the common denominator of -62\/9 and n.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -12*m + 1331. Determine c(-19).\nAnswer: 1559","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1305?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 134648, 538624, 1211926, 2154560, 3366532, 4847848, 6598514, 8618536?\nAnswer: 10907920","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 11) to base 7\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -200.1338 to zero decimal places.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6054885841 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 76308?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 32712, 130456, 293344, 521376, 814552, 1172872?\nAnswer: 1596336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8297 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 581967?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*b = 285144 - 286821 for b.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -1. Let l = 7233 + -7238. Let u(i) be the third derivative of 3*i**4\/8 - i**3 - 17*i**2. Give l*c(m) + u(m).\nAnswer: 9*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(847) - (sqrt(847) - (sqrt(847) - (-4 + sqrt(847) + -3 - sqrt(847)))) - sqrt(847))**2*4.\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -546ba - 4?\nAnswer: -546be","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 845579358, 845579359, 845579360, 845579361, 845579362?\n\"Answer: u + 845579357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 + -3. Let s(q) be the first derivative of q**5\/60 - q**4\/12 - q**3\/2 + 61*q**2 - 95. Let w(h) be the second derivative of s(h). Calculate w(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + (-16)\/(6 - 2))\/1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4*r + 2*r + 0*r)*(4*r**2 - 5*r**2 + 3*r**2) + 8*r**3 - 16*r**3 - 23*r**3 + (-4*r + 2*r + 13*r)*(-r**2 + r**2 + 3*r**2))*(-2 - 1 + 4).\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 10 + 2 = 0. Suppose -2*k + w*o - 2*o = -34, 18 = 2*k + 2*o. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -35*v**2. Let a(p) = 2*p + 4*p - 4*p + 2*p. What is a(t(q))?\nAnswer: -140*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -479691*q**3 + 48*q**5 + 479691*q**3 - 6 - 2*q**4 + 13*q**2 + 3*q wrt q.\nAnswer: 2880*q**2 - 48*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.3096324 from 19.\nAnswer: 20.3096324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 1528*r - 48. What is the units digit of s(19)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 - (204 + 0)\/(-6). Calculate the highest common divisor of 60 and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 1*sqrt(128) + -4.\nAnswer: -1 + 8*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 5*d**3 + 13*d**2 + 7*d - 12. Let s(w) = -w**3 - w**2 + 1. Let v(j) = k(j) + 4*s(j). Let y be v(-6). Let a = y + -29. List the prime factors of a.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 106 and 59042.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23270a (base 13) to base 14.\nAnswer: -179c52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 179601138?\nAnswer: 2, 3, 67, 16547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 186524743?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a centimeter in millimeters?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19c8 (base 15) to base 11.\nAnswer: -4220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(11)*3 + (sqrt(275) - 1*sqrt(275))**2 + ((-1*sqrt(110) + sqrt(110))\/sqrt(10) - 5*(-2 + sqrt(11))).\nAnswer: -2*sqrt(11) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10*(-61)\/(671\/66)?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/144 and 11\/144.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -23396490 by 199970.\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(176)*-2 + 1 - (5 + (sqrt(99)*-1)\/sqrt(9))) + -2)**2.\nAnswer: 2184*sqrt(11) + 20080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v - 4. Let q be l(9). Let y(o) = -4*o**2 + o + o**3 - o + 6 - 6*o + 0*o. Determine y(q).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.6 - 30.30675.\nAnswer: -33.90675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, 6, -15.\nAnswer: -15, -4, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6316190552?\nAnswer: 2, 7, 16112731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3568708 and 44.\nAnswer: 3568708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 - 6. Let y be (80 + -2)\/(21\/28). Let w be y\/26 + 46\/(-12). Put c, -2\/9, w in descending order.\nAnswer: w, -2\/9, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*a = -14*a + 26*a. Let w(c) be the second derivative of 0 + 0*c**3 + a*c**2 + 3\/20*c**5 - 1\/6*c**4 - c. Find the third derivative of w(u) wrt u.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -226 + 86. Let t be 15\/(-4 - 52\/(-12)). Suppose 0 = -t*o + 43*o + 166. Calculate the remainder when o is divided by g.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1296249312?\nAnswer: 2, 3, 19, 710663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1013.\nAnswer: 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 621108032 to the power of 1\/2, to the nearest integer?\nAnswer: 24922","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5.8745 + 5.874577586. Round b to five decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 775 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h**3 - 5*h**2 + 6. Let f be k(5). Suppose f*w - 8*w - 2*q + 50 = 0, 0 = 4*w + q - 97. What is the remainder when w is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10534781.000123 + 10534906. Let l = -125 + a. Round l to five dps.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2065811 and -9.50811?\nAnswer: 2065820.50811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16988964 is divided by 33575?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/20 - (-7)\/(-30). Let w be (0 + 2)*1\/(-22). Let t = 6.1 - 6. Which is the nearest to t? (a) 2\/11 (b) w (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of l**6\/120 - l**5\/30 + 5*l**4\/24 - l**3\/3 - 11*l**2\/2 - l. Let s(d) be the first derivative of j(d). Is 14 a factor of s(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = 2*l - m, m = 5*l + 3*m - 116. Suppose 17*b - l = 6*b. Suppose 3*t + 5*s - 5 = 0, 3 = -4*t - 3*s + 6. Solve -n + b + 0 = t for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 189\/(-81)*12\/4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 67 = 1247. Suppose 2*l - 465 = -o, 0 = 5*l + o - 2*o - v. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3262*v**3 + 13*v**4 + 3262*v**3 - 8*v + (0 - 2 + 0)*(2*v**4 - 2*v**4 + v**4).\nAnswer: 11*v**4 - 8*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 12 (b) 1 (c) 19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*b + 4 = -20*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 162904 and 512.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 3*w - 11, -8 = -5*w - 4*i + 1. Let y(p) = -p - 2. Let m be y(-5). Let b be (-42)\/(-8) + m\/(-12). Solve -w = -b*z + 5 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 11) to base 2\nAnswer: 1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*t**3 - 36*t**2 + 12*t.\nAnswer: 3*t*(t - 2)*(5*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 137\/50058 and 113\/6084.\nAnswer: 16919604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -65*(-50)\/(-7475)*23?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1304174 is divided by 2288.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1148.\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 - p + 8. Let x be k(-6). Let j = x - 45. Calculate the lowest common multiple of 14 and j.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a millennium in years?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6\/1751 - -85727\/21012. What is the common denominator of x and 1\/5?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 17 = j - 8, j - 4*u = -9. Let d be 6\/j - 10\/(-6). Solve -d = -w + 1 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 87, 79, -73, -453, -1145?\nAnswer: -2233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-648)\/180)\/(((-252)\/(-480))\/7)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1700299, 3400510, 5100721, 6800932, 8501143, 10201354?\n\"Answer: 1700211*w + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -255 = -5*c - 4*i + 39, 165*i + 54 = c + 169*i - 232 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 50*c**2 + 192*c**2 + 83*c**2 + 187*c**2 in the form i*c**2 + t*c + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*z - 129*z**2 + 10*z - 4*z + 5 + 2*z**2 - 5 + (-5 + 0 + 3)*(-3*z + z**2 + 3*z) + 4*z**2 - 4*z**2 + z**2 - z**2 - z**2 - z**2.\nAnswer: -131*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 5, m: 6, j: 2}. What is prob of picking 3 m?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + d = 2*d + 6, 3*d - 26 = -5*p. Suppose l + 3*l = -p. Which is greater: -1\/5 or l?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -91834 by 1241.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 50 and 19834510.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -c (base 15) to base 9\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 + 1 - 3)*(1 - 1 + 4*r) - 2*r + 3*r + r)*(-3*r**3 + r**3 - r**3) to n*r**4 + q*r + s + t*r**2 + j*r**3 and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 913061 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (10 - (7 - -12) - -9) - -6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(3\/8))**(10\/7)*(v**(-4\/5))**(-8\/15) assuming v is positive.\nAnswer: v**(2021\/2100)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1458787 (base 9) to base 8\nAnswer: 3050010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -16.3 - 29.159?\nAnswer: -45.459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 169 - 115. What is the lowest common multiple of 3 and z?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - u = -3, 0 = -6*c + 2*c - 5*u + 15. Suppose c*j - 296 = -2*j. Suppose -2*n + 303 = 5*b, -2*n + 5*b - j = -461. Does 22 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 - 9*s**2 + 22*s + 15. Let v be c(-11). Suppose -v*p + 17 = -298. Solve 3*o + 3 = 4*o - 4*z, -5*o = -2*z + p for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 9*b - 8 = 0. Put b, 17, -4, -1 in decreasing order.\nAnswer: 17, -1, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0*4\/12*2\/4. Let d(u) = -3*u**2 - 3*u + 119. What is the tens digit of d(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 5807*h + 6539. Is s(42) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1586\/39 - 2\/3. Suppose -5*q = -6*q + 39. Suppose -a - q = -d. Calculate the remainder when d is divided by 27.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**4 + 7*o**3 - 13*o**2 + 5. Let v(y) = -y**3 + y**2 - 1. Let g(b) = -4*k(b) - 20*v(b). Factor g(t).\nAnswer: -4*t**2*(t - 2)*(t + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s = -5*j + 95, 0 = -2*j - 6. Let g be (-1221)\/s + 1\/5. What is the units digit of (-1602)\/g + 2\/11?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 952*u. Let f(b) = -23*b**2 - 2*b. Calculate d(f(q)).\nAnswer: -21896*q**2 - 1904*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {u: 5, p: 14}.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -86 - 7b9b?\nAnswer: -7c54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 137724311 + 2?\nAnswer: 137724313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(320) - ((sqrt(320) - (sqrt(320) + (-2 + (-2*sqrt(320) - sqrt(320)))**2)) + sqrt(320))) + (-3 + sqrt(720) + -1 - sqrt(720))**2 + 3)*1.\nAnswer: -11517 - 384*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 46 + -45. Let b(k) = k + 1. Let v(c) = c**2 - 3*c - 10. Let f(n) = i*v(n) + 6*b(n). Let p be f(-4). Solve p = a - 1 + 4 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56117 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (71\/(-7))\/(-1) - (-168)\/196.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that z**5\/3 - z**4\/2 - 23*z**3\/6 + 11*z**2\/2 + 15*z\/2 - 9 = 0.\nAnswer: -3, -3\/2, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/21*-42*(-3)\/(-144). What is the closest to 1 in 19, m, 4, -0.9?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/2 - (-3 + 2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*s + 25*s - 67 = 61. What is the highest common divisor of s and 598?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6*(-2)\/3)\/(-1). Suppose -h - j = h - 6, b*j = 3*h - 20. Suppose h*g = -0*g + 932. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22195, 22465, 22725, 22969, 23191, 23385, 23545?\nAnswer: 23665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjvq when four letters picked without replacement from jkquv.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 + 5*a**2 - 7*a + 4. What is o(4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -139440, -139442, -139436, -139416, -139376, -139310?\nAnswer: -139212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -5*i - 40. Let b(x) = -2*x - 14. Let l(n) = 11*b(n) - 4*j(n). Determine l(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76 = 2*h + l + 52, 0 = -h - 2*l + 15. Calculate the remainder when h is divided by 11 + 0*(-3)\/(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from muxcmmuuum.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/15*(-9)\/(-36)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - 10. Let q(j) = j**4 + j**2 + j. Let m(z) = -10*z**4 - 14*z**2 - 12*z. Let p(v) = g*q(v) - m(v). Factor p(f).\nAnswer: -2*f**2*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-4)*(-7 + 3 + 2). Solve -k*f + 0*f - 5*j = -4, 0 = -5*j + 10 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/5, -3, -55\/6, -6, -1\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -4*y + 2808, y - 4*v + 2*v - 690 = 0. What are the prime factors of y?\nAnswer: 2, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + i - 5695 = -4*i, 0 = -4*r + 4*i + 4572. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-19736)\/20522 - (-2 - -1). Let p be ((16\/(-662))\/4)\/((-8)\/8). Let j = g - p. Which is greater: j or 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 25\/6? (a) 0.3 (b) 0.5 (c) 1 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 28873644?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1276*l - 1 = -k + 1271*l, -2 = -2*k + 2*l for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + d - 3*d + 4 = 0, 5*u + d = 2. Suppose 237 = -3*v + 3*q, -3*q + 399 = -u*v - 5*v. Let f = -48 - v. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 2*s - 0*t - 184, -3*s - 2*t + 308 = 0. Let b be (-84)\/(-16) + (-4)\/16. What is the tens digit of b\/2*s\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*f**2 + 18*f**2 + 10*f**2 + 42*f - 54*f**2 + 12*f**2 to d*f**2 + s + o*f and give o.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*k - k - 8. Solve -c - k*c = 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -d44 (base 16) in base 5?\nAnswer: -102041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (b**2 - 2*b**2 + 3*b**2)*(9735 + 2*b**2 + 4579 + 3792 - b) in the form r*b**4 + w*b**3 + p*b**2 + t + g*b and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 7*p + 14. Let m be k(-15). Is -92 less than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -54*u - 93 - 15 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 433425331 (base 6) to base 14.\nAnswer: 10542b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 y when two letters picked without replacement from {t: 2, h: 1, y: 4, o: 2}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of -n**5 + 7*n**4\/8 + 15*n**3 - 170*n**2. Let q(a) be the first derivative of w(a). Find the first derivative of q(p) wrt p.\nAnswer: -120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5*14\/420)\/((-2)\/(-8))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from sshbbsskbubss.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(4\/5))\/(c*c**(-4\/3)))**40 assuming c is positive.\nAnswer: c**(64\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*o + 142*o - 8304 = 1905 for o.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 7 + 3*o - o + 3*o - 4*o. Let t be f(-10). Let r = t + 6. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 419828 and 3022844?\nAnswer: 412","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of -m**2\/2 - 3*m - 1. Let q be h(8). Let a = q + 32. Calculate the remainder when 41 is divided by a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 4*k = 66, -32 = -m - 5*k - 13. Solve 0 = -5*f - 4*g + 15, -5*f - g = -1 - m for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*s**2 + 2212*s + 8912.\nAnswer: -4*(s - 557)*(s + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -44 (b) -1\/2 (c) 2.1 (d) -658\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8.29 + 0.91. Let w = 9.297 - v. What is w rounded to two dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000066 rounded to seven dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*i - 3*i + 0*i)*(-5 + 1 + 3)*(-6 + 3 + 4)*(1 + 6 - 3).\nAnswer: -12*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*x - x - 3*x)*(3*x**2 + 0*x**2 - 5*x**2 + (4 - 4 + x)*(3*x - 4*x + 0*x) + x**2 + 5*x**2 - x**2) as y*x**3 + k*x**2 + a + i*x and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 PM and 1:56 AM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 707467405?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -3134783 to the nearest one million.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-282)\/1692 + (-94)\/12 + -1\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -7*o**2 + 355*o - 2624. Calculate b(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of 1615*o**4\/6 + 1481*o**3\/3 - 2*o**2 - 126*o - 17. What is the first derivative of w(a) wrt a?\nAnswer: 6460","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63185 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 328636*b**2 + 973*b - 27.\nAnswer: 657272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yii when three letters picked without replacement from iyiyiiyyiiyyy.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 28*n**2 + 51*n + 6. Let c(d) = 55*d**2 + 102*d + 11. Let v(b) = -6*c(b) + 11*y(b). Find the second derivative of v(w) wrt w.\nAnswer: -44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a + 7. Let t be d(3). Suppose w = -5*n + 36, -w + 102 = t*w - n. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1290)\/(-27) + 4\/18. Let a be (-4)\/(-10) - j\/20. Is 16\/10 + a\/(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2*b + 8. Let w be h(-10). Let m be -2 + (-1)\/(4\/w). Let x be (-2 + 2 - m)*1. Put x, 4, -5 in descending order.\nAnswer: 4, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/14128 and 117\/40.\nAnswer: 70640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**5 - 2*o**4 - 108*o**3 - 292*o**2 - 278*o - 90.\nAnswer: 2*(o - 9)*(o + 1)**3*(o + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 16.9?\nAnswer: 6.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -86*x**4 - 11*x**3 - 54*x - 11. Let d(b) = -29*b**4 - 4*b**3 - 18*b - 4. Let z(o) = -11*d(o) + 4*m(o). What is the second derivative of z(y) wrt y?\nAnswer: -300*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110110110011011011111100 (base 2) in base 15?\nAnswer: -13dbae0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 + -5. Let n be 2\/7 + 60\/35. Suppose n*i = i + 15. Calculate the highest common divisor of i and d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1798285995 or -0.1?\nAnswer: 1798285995","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w - 12. Let s(f) = -f - 1. Suppose 5 = 3*j - 13. Let b(r) = j*s(r) - g(r). Calculate the least common multiple of 24 and b(-2).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41 + 776*s + 26 + 8 - 778*s.\nAnswer: -2*s + 75","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -306566720 to the nearest one hundred thousand.\nAnswer: -306600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 60840, 120742, 180664, 240612, 300592?\n\"Answer: n**3 + 4*n**2 + 59883*n + 952","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8283397 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 52.611 - 52.711. Let a = 0.45 - 0.05. What is the closest to b in a, 0, -1\/6, 2\/11?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 542649 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -123*d - 1. List the prime factors of m(-1).\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/1481 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 358 and 71600.\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 33*m + 1237*m**2 + 1083*m**2 + 15*m**3 - 2318*m**2 - 2 as o*m + t + w*m**2 + y*m**3 and give o.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17 - (-57 - -25)) + -1.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a - a + 2*a)*(-75 + 2526*a + 40 + 35) + (-3*a + 3*a - 2*a)*(-3*a + 0*a + 4*a).\nAnswer: 5050*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 + 9*j - 12. Let t be v(8). Let b be ((-2)\/(-1))\/(t\/(-10)). Solve -4*y + 4*c = y - 5, b*y + 25 = -2*c for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 4*r = 8, 2*r + 3 = 3*d + 8 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (-7 + 3 - (-3 - -2))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 2*b + 45 = -96, 2*h + b = 60. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iaxiiaasewswia. What is prob of picking 1 i and 1 x?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 35.8 + -43. Let p = b + 1.2. Let s = 3 + p. Is 2\/5 at least s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -610484571 divided by -844377\nAnswer: 723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -2*g, y + g - 6 = -g for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1467375 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 264060490?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 3*r. Let y(j) = -3*j - 101. Determine x(y(c)).\nAnswer: -9*c - 303","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*u + 2*u. Let d(h) = h + 3. What is the remainder when ((-4)\/10)\/(2\/(-50)) is divided by d(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3398, -6847, -10300, -13757, -17218, -20683, -24152?\n\"Answer: -2*s**2 - 3443*s + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3 < 198?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3973595 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9707 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 - 14*j**2 + j + 13. Let k(w) = 6*w**2 + 24*w + 4. Let h be k(-3). Let p be c(h). Sort 0, 1, p in decreasing order.\nAnswer: 1, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1264 a factor of 248108457?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 - 42*o**2 + 111*o + 237. Calculate k(39).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**1)**33*v**(-5)*v*v**(-3\/2))\/(v**(-3\/8)*v**(-2\/3)*v**4*v\/(v**3*v)) assuming v is positive.\nAnswer: v**(1453\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**2 + 13*i**2 - 20*i**2)*(0*i + 0*i + 3*i).\nAnswer: -27*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**3\/11 + 7258*w**2\/11 - 8708038*w\/11 + 3448206302\/11.\nAnswer: -2*(w - 1319)**2*(w - 991)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((3 + sqrt(76))*3 - (((sqrt(171) + sqrt(171) + sqrt(171)*3)\/sqrt(9))**2 + 1)).\nAnswer: -466 + 6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -8*(-2)\/(20\/15). Suppose -5*p = -3*a - 37, -5*p + b = 2*a - 5. Let x(l) = -l + 5. What is x(p)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4930*z = 4933*z + 45 for z.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/(-14))\/(9\/(-84)*-2)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 33 + -25. Let w(h) = 24*h**2 - 24*h**2 + 1 + h**3 - 2. Let y(m) = 6*m**3 - 8. What is u*w(a) - y(a)?\nAnswer: 2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/3, 4, 0.76202, -0.036, 0.4, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3747*w + 3*o - 3 = 3748*w, 2*o + 50 = 5*w. Suppose f - 17 = 1. What is the smallest common multiple of f and w?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -326917245 * 0.4.\nAnswer: -130766898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (51 + 0)*(0 - (-4)\/6). Suppose z + 3*c - u = 0, z + 2*z + 2*c = 95. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 13*u**2 - 40*u**2 + 61 - 39. Let x(o) = -13*o**2 + 11. Let h(d) = -6*a(d) + 14*x(d). Find the first derivative of h(m) wrt m.\nAnswer: -40*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2310 divided by -253449?\nAnswer: -110\/12069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.1 plus -95058194.8?\nAnswer: -95058196.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -3*p. Let f(h) = 5*h**2 - 91*h + 3 - 90*h + 184*h. Let q(i) = -6*i**2 - 4*i - 4. Let y(n) = -4*f(n) - 3*q(n). Determine y(c(s)).\nAnswer: -18*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*l - 230 = 5*p + 16*l, 0 = 3*p - l + 130. Let u be 0 + 3 - (p + -47). Let g = 173 + -78. Is u smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 + j**2 + j - 1. Let m be d(0). Let t be 4\/(-12)*(-1 - m). Solve 2*n = -t*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f**2\/15 + 2816*f\/15 - 2818\/15 = 0 for f.\nAnswer: -1409, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 PM and 3:15 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(128) + -1 + -1 + (4*sqrt(128))**2)*-4 + -4 + 2.\nAnswer: -8194 - 32*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1449 - -1545. What is the remainder when 114 is divided by z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbvbeqbbekbvvv. Give prob of sequence kq.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-3)*-3*(-27)\/(-540).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.03, 1, -5\/2 in descending order.\nAnswer: 1, -0.03, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -75*t. Let m = 888 - 248. Let k(v) = v**2 - m*v + 640*v. Give z(k(d)).\nAnswer: -75*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 24889099889 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -47 + -2 + -32 + 2 + 18 + -5 + -4.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1089307*1.04\nAnswer: 1132879.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5160091 is divided by 1060?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/4)\/i)**(-2\/5)\/(i**1\/i)**(-33) assuming i is positive.\nAnswer: i**(3\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 86852?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 5*c + 5, l - 5 = -5*c + 4*l. Let a = -8 + 3. Sort a, c, -1 in increasing order.\nAnswer: a, c, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2*v - 4. Let j(i) = -2*i - 3. Let y(k) = -4*j(k) + 3*t(k). Let z(o) = -o**2 + 14*o - 10. Let a be z(13). Is y(a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -342.918066 from 444531.\nAnswer: 444873.918066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 >= -37\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -147, -446, -1251, -2814, -5387, -9222, -14571, -21686?\n\"Answer: -42*z**3 - z**2 - 2*z - 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 18*r**2 + 73*r - 16. Let x(q) = -24*q**2 - 73*q + 19. Calculate 5*f(w) + 4*x(w).\nAnswer: -6*w**2 + 73*w - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-7 - 0)*250\/(-35). Suppose -3*x - 35 + w = 0. Solve 0 = -5*h + x*d - 20, -2*d = h + 3*d - 2 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 16) in base 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from skglllkkkls. What is prob of picking 4 k?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.372111 millilitres to litres.\nAnswer: 0.008372111","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55238798 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -175344094 to the nearest one million.\nAnswer: -175000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 + 9*q**2 - 9*q - 30. Let n be d(7). Solve -20 = n*z, -3*b + 3*z = -8*b - 37 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1450 + -30460\/21. Let s = d + -6\/7. What is the biggest value in -2\/5, -1, s?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 197887 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 191042 and 12862.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 128*b**3*n**2*z - 3372*b**3*n**2 + 12412*b**2*n**2*z - b*n**2*z - 11*b*n**2 wrt b?\nAnswer: 768*n**2*z - 20232*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.6 and -349864.\nAnswer: -349864.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-14)\/8 - (-1)\/(-4). Let j = y - -6. Let f(i) = -5*i**2 + 3*i + 5. Let d(t) = t**2 - 1. Let o(l) = 4*d(l) + f(l). Give o(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6.96, 2\/7, 2, 4, 18 in increasing order.\nAnswer: -6.96, 2\/7, 2, 4, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -30 from -6652.\nAnswer: -6622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9449934 to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13696845 or 2?\nAnswer: -13696845","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 213 + -103. Does 54 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 1 - 2 - y)*(y - y - 4*y**2) to the form j*y + c*y**3 + v + o*y**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22\/7 - -80\/21. Let a(x) = x**3 + 6*x**2 + 3*x - 6. Suppose -2 = 4*d + 18. Let m be a(d). What is the second biggest value in m, 0.3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/(-6) - ((-6670)\/4 - 4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7527\/386*(-20)\/(-6) + -11 + 16.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -113, -387, -661?\nAnswer: -935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 25*k - 96. Suppose -30*c + 10*c + 120 = 0. Is 27 a factor of x(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 AM and 8:13 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -10*k**3 + 5*k**2 - 5*k - 5. Let r(p) = -p**3 + p**2 - p - 1. What is 5*q(o) - 25*r(o)?\nAnswer: -25*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 333*j - 343*j + 210 = 0. Solve j = -17*n + 4 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 3. Let c be (-5)\/(a\/(-22)) - 2. Solve -2*y - 3*y = -c for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 - 4*z - 1. Let t be s(-2). Let x = 47 - 34. Suppose -t*h + 14 + x = 0. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -48, -42, -32, -18, 0, 22, 48?\n\"Answer: 2*z**2 - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 - 17*m**2 - 3*m + 4. Let t be x(-17). Let j = t - 31. Let 2 - 12*v**3 + 2*v**4 + 3 - 5 - 16*v + j*v**2 = 0. What is v?\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4341705 is divided by 723616?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -2, -14, 4, 6 in decreasing order.\nAnswer: 6, 4, 2, -2, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -321 - -223?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 686267 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - 29) + 11 - (-49 - -9).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes after 6:23 PM?\nAnswer: 10:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15 in -5, 0, 5, 142?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2642\/5 or 527?\nAnswer: 527","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3185*s + 53*w = -3182*s - 4*w + 123, -s - 4*w = -28 for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 40 - 28. What is the greatest common factor of 12 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -5*w. Let f be p(-7). Let h be ((-1)\/14)\/((f\/(-20))\/(-7)). Let c = -19\/2 - -9. Sort c, 0, -1\/4, h in ascending order.\nAnswer: c, h, -1\/4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.98 at most -276?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -9798747 < 0.02?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q + 5. Let z be d(-5). Suppose z + 0 = 5*a. Solve 0 = a*v - 2*v - 1 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.069 - 0.03. What is a rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1135390 is divided by 115.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w. Let r(s) = s**2 - 3*s - 1. Let a(i) = 147*i**2 + 36*i + 12. Let g(x) = 3*a(x) + 36*r(x). Give p(g(v)).\nAnswer: 477*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 376*m - 571 + 32 + 45.\nAnswer: 376*m - 494","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2572 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 10, p: 1, q: 2, l: 2, c: 4}. What is prob of sequence qtl?\nAnswer: 20\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 + 7*v**2 + 6*v - 6. Let g be u(4). Let w = -134 + g. Let o = w + 152. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19484*w - 19485*w + 18 = -8*a + a, 2*w - 5*a - 18 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -60, -118, -176?\n\"Answer: -58*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*n**2 + 8*n**2 + 10*n**2)*(5 - 2 - 1) + (2 - 2 + n)*(3 - 3 + 2*n)*(3 - 7 + 2) as k*n + s + p*n**2 and give p.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1355 (b) 0.5 (c) -3 (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*o**2 + 1 - 1 + 59*o**2.\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 times 1?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -196760*k**2 + k + 408.\nAnswer: -393520","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 324520?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 709618.\nAnswer: 2, 7, 13, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 3. Let h = -14 + n. Let k = h + 13.0027. What is k rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/100290 and 5\/6?\nAnswer: 100290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -3*r**2. Let u(n) be the second derivative of n**3\/6 - 3*n. What is k(u(j))?\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, 170.\nAnswer: 3, 4, 170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - 3210?\nAnswer: -3212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(7) - sqrt(252)) + 4)**2 - (sqrt(196)\/sqrt(7))**2) + ((sqrt(700) - 2*-1*sqrt(700)) + 4)**2 + 2)*-3.\nAnswer: -19443 - 600*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fvrdeve. Give prob of sequence rv.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u**2 - 13 + 13)*(-3 + 2 + 2 + (-2 + 1 + 0)*(-1 - 2 + 2) + 2 + 1 - 1).\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -79*o**2 + 443*o + 1198. Determine k(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f**3 - 5*f**2 - 2*f + 5. Let g(d) = 3*d**3 + 6*d**2 + 2*d - 6. Suppose 0 = 5*t - t - 24. Let m be (-10)\/(-2)*(-3 + 4). Determine m*g(b) + t*l(b).\nAnswer: 3*b**3 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 464 and 148625?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 311 = 70*l - 198 + 159 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 0.04, -8, 1, 2\/9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -214 less than or equal to -308?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that 5*z**3 - 18435*z**2 + 17056800*z - 118496000 = 0.\nAnswer: 7, 1840","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 8, f: 3}. Give prob of sequence ggf.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 61*f + 49*f - 105*f.\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -12 - 6. Let n be (-4)\/b - (-98)\/21. Suppose n = -s + 26. Does 19 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37674.55ml in litres?\nAnswer: 37.67455","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00317688 rounded to four dps?\nAnswer: 0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the first derivative of -u**3\/2 + 16*u - 18. Let q(f) be the first derivative of r(f). Let v(b) = -b - b - 2*b. Calculate v(q(x)).\nAnswer: 12*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (sqrt(128) - (sqrt(128) - (sqrt(128)*2 + 3)**2)))*-3.\nAnswer: -1560 - 288*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -11924*q + 11960. Determine b(1).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -3 - 3 + 3 + 4. Let m(h) = 9*h - 20. Let t(w) = -3*l(w) - m(w). What are the prime factors of t(-11)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -15*z - 4*c, -115 = 3*z + 3*c - 112 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 75\/4 of a litre?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 1920 = -4*j. Let y = j - -322. Let v be 14 + (1 - (1 - 2)). Solve -y*b = -6*b - v for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 1. Let f(p) = -3*p**2 - 2*p + 1. Let b(k) = f(k) - m(k). What is the second derivative of b(v) wrt v?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 13, 40, 113, 256, 493?\n\"Answer: 4*k**3 - k**2 + 2*k + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*m**4 - 1815829*m**3 + 14510219*m + 1 wrt m?\nAnswer: 60*m**2 - 10894974*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m\/(m**(-7\/5)\/m))**6\/(m**(17\/6)\/((m*m**(-10\/3))\/m)) assuming m is positive.\nAnswer: m**(787\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1608*c + 134381 - 192269 = 0 for c.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 - 6.8. Let r = o - -0.8. Let l = -0.071 - 0.329. Which is the second biggest value? (a) r (b) l (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 5*w + 6*w = -17, -3*w = i + 1 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.2 + 6.8. Let s = 11 - q. Let k = 0.0486 - -0.2514. Sort s, k, -1\/5 in increasing order.\nAnswer: -1\/5, k, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 10 + (-14)\/(-2) + -14. Factor -3*h**3 - 180*h**2 + 111 - 175*h + 3*h**g - 5*h**3 - 111.\nAnswer: -5*h*(h + 1)*(h + 35)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -23) + (109 - 128)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1227 + 296. Suppose -1982 = -l + p. Suppose -b - a + l = -69, -2*a - 14272 = -4*b. Round b to the nearest one hundred.\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13676867287 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 347*b + 813 = -38*b + 3893 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 85534? (a) 7 (b) -0.4 (c) 6 (d) 5 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 72 = j + 13, 0 = -b - 296039*j + 296036*j - 3 for b.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 - 23*g + 2. Let o be d(-18). List the prime factors of (-23)\/o + ((-3794)\/(-8) - -1).\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 16 = -k. Let s = k + 3. Let c be s\/(-4) + 90\/(-40). Which is smaller: c or 0.2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 336*z + 7*b - 38 = 335*z, 4*z - 37 = -5*b for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -3148, 0.4, 171?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2915 + 19046. What is the tens digit of (-2)\/(-11) - w\/(-33)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 bigger than 82?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.46949*1856.\nAnswer: 871.37344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence re when two letters picked without replacement from {p: 4, e: 2, r: 7, f: 1}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 24317 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 489, 4, -20 in decreasing order.\nAnswer: 489, 4, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(192) + 4 - (sqrt(192) - (1*(-4 + sqrt(192)) - sqrt(192))))*-1)**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 186 and 4929?\nAnswer: 9858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) 29 (c) 2\/3 (d) -3 (e) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes after 1:15 PM?\nAnswer: 10:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/7 - (-312)\/14. Let m = 42 - w. Let y(g) = g - 4. Let d be y(12). What is the greatest common factor of d and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*l + 132 + 174 = 0 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 2*l**2 + 6*l + 3. Let r be 2 - (-3)\/(-3) - -8. Suppose -r*n + n + 72 = 0. Calculate the smallest common multiple of n and s(-4).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -857, -2918, -6495, -11702, -18653, -27462, -38243, -51110?\nAnswer: -66177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -47 + 50. Let w be t*(4 + 32\/(-12)). Suppose -x + 3*a + 11 = 0, -4 = -w*a + 8. Is x a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1502*c**2 - 476 + 170 + 6*c**4 + 306 + (-2*c**3 + 4*c**3 + 0*c**3)*(-3 + 2*c + 3) to s + y*c**3 + v*c**4 + p*c + f*c**2 and give v.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + -316011513?\nAnswer: -316011513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 200012 + -11?\nAnswer: 200001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -233784*d + 396 = -233762*d for d.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -156, -146, -122, -78, -8, 94?\nAnswer: 234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -92\/3, -1619\/4, 2\/11, -5, 3 in decreasing order.\nAnswer: 3, 2\/11, -5, -92\/3, -1619\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -s + 4 - 11, -5*p - 25 = 0. Suppose 0 = r - 2*v - 69, -13*r + s*r - v = -334. Calculate the remainder when 198 is divided by r.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1*3)\/(22\/(-110)*10)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = -2*c + 3*b + 16, 0 = c + 3*b + 12 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by 6756.\nAnswer: -7\/6756","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 9082612 - 5?\nAnswer: 908260a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -44*b**2 + 659*b - 27. What is i(15)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -8*l + 3*l. Let p = 0 + -1. Let o be (5 + -4)\/(p\/(-3)). Solve z - 3*z = -o*m - l, 5*z - 29 = -2*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 52 + -3531314?\nAnswer: -3531222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 8*s - 33. Determine g(6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - (14 + -12) - 0) + -1 + -5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -6 - 7 - 3*i**2 + 5 as u + y*i**2 + a*i and give u.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*c + 2*c - 3*c - 3*c - c + 6*c + (-3 + 2*c + 3)*(2 - 2 + 2) + c + 0*c - 3*c - 93*c + 302*c + 198*c as u + i*c and give i.\nAnswer: 412","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95*p + 88022586 - 88022586.\nAnswer: 95*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2682*z + 379. Is 28 a factor of h(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 34454 (base 10) in base 14?\nAnswer: c7b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 479 is divided by 96.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20657*j**2*u**2 - 1352*j**2*u + 15*j**2 + 9*u**2 wrt u.\nAnswer: 41314*j**2 + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 31932 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -181*i**5 + 15*i**3 - 2811*i**2 - 2?\nAnswer: -10860*i**2 + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/(-1*(sqrt(4) - sqrt(64))).\nAnswer: sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 65 - 129*x - 65 + 408*x + (5 + 2*x - 5)*(2 - 1 - 2) in the form t*x + a and give t.\nAnswer: 277","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*t + 3 = 5*k + 17*t, 5*k + 4*t = 13 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -90*y**2 + 6*y + 10. Let x be k(-7). Let l = -97677\/22 - x. Find the common denominator of l and -45\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2))**45\/(w*w*w**(1\/4))**(-2\/21) assuming w is positive.\nAnswer: w**(-1257\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 583983?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.098264 - -4.901736. Let o = 101 - 407\/4. Sort 0.01, l, o in decreasing order.\nAnswer: l, 0.01, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.02 + -0.02. Let p = 17.5814 + -17.6414. Let o = -7 + 3. Put o, p, y in descending order.\nAnswer: y, p, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -3*w**2 - w - 3. Give d(-2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8158011?\nAnswer: 3, 17, 19, 8419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 1 = 2*x, -y + x + 7 = -x. Suppose 2*q = -y*k + 16191, 0*k + 21608 = 4*k - 4*q. Let w = 499 - k. What is w rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 257210, 514422, 771634?\n\"Answer: 257212*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -439*f + 5743 + 3128 = -6055 for f.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*(b**(3\/7)*b*b*b)\/b)**(1\/15)\/(b**(-1\/3)*b**(-3)))**28 assuming b is positive.\nAnswer: b**(1496\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of 1\/16*l**4 - 1\/80*l**5 - 1\/8*l**3 + 1\/8*l**2 - l + 2. Let k(h) be the first derivative of g(h). Factor k(o).\nAnswer: -(o - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 95790566 and 11?\nAnswer: 95790555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2758209 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 260 = -285 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g + 3. Let n be 5 + 20\/(5 - 7). What is the units digit of a(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*v + 6*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-2606.\nAnswer: -781.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7312*f + 6205 wrt f.\nAnswer: -7312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5958835 is divided by 13512.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -3*p - 43. Let j be w(-16). Let v(i) = i**3 - 7*i**2 + 8*i - 6. Determine v(j).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o. Suppose 15 = 28*v - 69. Let m(b) be the third derivative of 5\/12*b**5 + 0 + 0*b**4 + 0*b + 15*b**2 + 0*b**v. Calculate m(i(q)).\nAnswer: 100*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 2\/5 (b) -29.50048 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 1 = 5. Let t be 2 - r\/4*0. Let y be -2 + t + (-4)\/6. Which is the closest to 0? (a) -0.4 (b) -1\/4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 16*q**2 + 6 - 15*q**2 - 5*q - 3. Calculate p(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8878 = -3*g + 2*g + 731. Is 43 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 4*u = -5*u + 121, -4*j - 3*u + 163 = 0. Suppose 0*g + j = 4*g. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 - -3 - (1 + 2 + 13 - 11)?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - -12?\nAnswer: e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(400)*1 + (sqrt(25) - -6*sqrt(150)\/sqrt(6) - sqrt(25)) + sqrt(25))\/((sqrt(605) + (sqrt(605) - -4*(-2*sqrt(605) + sqrt(605))))*5).\nAnswer: -sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-133)\/(-4) - (3\/4)\/3. Suppose -n = -4*a - 5*z, a + 9 + 14 = 5*z. Solve 0*g - a*g - 19 = -3*o, -5*g - 3*o + 5 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of d**3\/3 + 2*d**2 + 5*d - 1. Let f(r) = -r**2 - 7*r - 5. Let x be f(-7). List the prime factors of n(x).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 40 - 38. Let w(i) be the first derivative of 1\/5*i**l + 0*i - 2\/15*i**3 + 1. Solve w(r) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -1\/61, 1416, 2?\nAnswer: -1\/61","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8.57 + 8.89.\nAnswer: 0.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 528*y + 5*y**3 - 455*y + 29*y**4 - 5*y**3 wrt y?\nAnswer: 348*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 160208 to the nearest integer?\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**4\/3 + 40*a**3 + 79*a**2 + 118*a\/3.\nAnswer: a*(a + 1)**2*(a + 118)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 2 + 2 = 0. Let y be (-1 + 2)\/(-1)*140\/a. Calculate the highest common factor of 15 and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 2:33 PM?\nAnswer: 11:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1203, 0.08, 0?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*m = -5 + 27. Let q(j) = -j**2 + 1. Let o(l) = -2 - 7 + 0*l + 6*l**2 - 3*l. Let n(g) = m*o(g) - 3*q(g). Factor n(k).\nAnswer: -3*(k - 2)*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 4*g - 4 = 0, 2*u - 5 = g - 2. Sort 1, u, 0 in decreasing order.\nAnswer: u, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 78 + (-101908)\/1314 + (-184)\/7*(-6)\/27\nAnswer: 44\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(187)\/(sqrt(44)\/sqrt(4)) - (2 + 0 + sqrt(153)).\nAnswer: -4*sqrt(17) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24 + 24. Find the first derivative of 5 + x + 107*y**3 - 90*y**3 wrt y.\nAnswer: 51*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -6, -2172, 2 in descending order.\nAnswer: 2, -1, -6, -2172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 63 - 60. What is the remainder when 10 is divided by w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -1 - 3*r + 3 - 2 + 1. Give z(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q**(-25)*q*q**7*((q**(-21)\/q*q)\/q)\/q**25 assuming q is positive.\nAnswer: q**(-63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1380?\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.9 + -4. Let q = -102.1 + 107. Let b = q - c. What is the second smallest value in b, 3, 7?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*p + 23*p - 2*a = 17*p - 48, 5*p = 2*a + 155 for p.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 22 + 40. Let w = q + -23. Let a = -39.023 + w. What is a rounded to 3 decimal places?\nAnswer: -0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1238.494386 rounded to one dp?\nAnswer: -1238.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -28 - 2*a**3 + 4*a**3 - a**3 + 6*a**2 - 30 + 19 - 3*a. Give k(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -138 + 334. Is c a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/1 - (3 - 0). Let o(t) = -12*t**3 - t - 1. Let s be o(-1). Is (1 + (-3)\/y)*s a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-25)*o*o*o**33*o*o)\/(o**(1\/42)*o**(-1)))**(-4) assuming o is positive.\nAnswer: o**(-1090\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3410 - 3413. What is the third biggest value in d, 4, -85?\nAnswer: -85","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -26 - (-877 - -859) - 8?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 94 a factor of 2366234?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 66 - 150?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -77 - (32 - (48 - -32))\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -132011 (base 4) to base 9\nAnswer: -2568","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 962 and 8?\nAnswer: 3848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -3*g**3 + 2*g**2 + 4*g + 7. Let t be p(-3). Let c = t - 91. Find the third derivative of -59*y**c + 4*y**2 - 7*y**2 + 22*y**3 wrt y.\nAnswer: -222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4765 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*q**3 - 7942 - 10658 + 14183 to the form z*q**2 + o*q**3 + c*q + n and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 395\/6 != 30?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 2493100 to the nearest 10000.\nAnswer: 2490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/4*(-2)\/1. Suppose b*y = 7*y - 4. Suppose -7 - y = -2*a. Solve 19 = a*t + 3 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -88, -203, -372, -601, -896, -1263?\nAnswer: -1708","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -15*r**2 - 9*r + 17. Let c be u(8). Let n = 1956 + c. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93017 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the third derivative of -18*h**5 + 664*h**3\/3 - 591*h**2. Find the first derivative of t(f) wrt f.\nAnswer: -2160*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 5*u + 44 = 0, 0 = -a - 0*a + 3*u + 22. Let s be (1*(-30)\/a)\/(123\/164). Do -3 and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(4\/3)\/(f*f\/(f*f**(2\/9)))*f**(-4\/5)\/((f**(1\/2)*f)\/f*f))\/((f**(-1))**(-41)\/(f**(2\/5)*f*f**0)) assuming f is positive.\nAnswer: f**(-3721\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -c**3*j**2*u - c**3*j**2 - 73*c**3 - 2*c**2*j**2*u + c**2*j*u - 28*j**2*u wrt c.\nAnswer: -6*j**2*u - 6*j**2 - 438","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6656 and 436.\nAnswer: 725504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*x + 10*x + 16. Suppose 0 = x*a + 2*a + 4*l - 55600004, -4*a + 55599997 = -3*l. Round a to the nearest one million.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65325523 smaller than 65325523?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(91) + (sqrt(91) - (sqrt(91) - (sqrt(91)*-1 + sqrt(91)))) + sqrt(91)))\/sqrt(7).\nAnswer: -4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 50 - 29. Suppose -d - 324 = -5*s. List the prime factors of s.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 43533 + 6544. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of -9*h**2 + 0*h - 9\/2*h**3 - 1\/20*h**5 + 3\/4*h**4 + 0. Determine s, given that f(s) = 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 34*o**3 - 379*o**2 - 379. Let i(a) = 19*a**3 - 189*a**2 - 189. Let p(h) = -7*i(h) + 3*v(h). Let n(g) = g**2 + 1. Calculate -186*n(w) + p(w).\nAnswer: -31*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 - 10*p**2 - 9*p - 14. Let s be n(11). Suppose -2*y = -2*l - 7 + 19, -4*y = -3*l + 18. Let m = s - l. Solve -m*r = -r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22 + 27. Suppose 0 = 5*z + g - 95. Does 18 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/(-20)*1\/((-2)\/(-6)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 16 - 300754?\nAnswer: -300736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**2\/(s\/(s*s**(-2\/7))))\/((s\/(s*s\/(s*s**(2\/9)*s)))\/(s**(1\/4)*s)) assuming s is positive.\nAnswer: s**(439\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/50 of a millimeter?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of -31*a**4\/12 + 26*a**3\/3 - 4*a. What is the second derivative of f(k) wrt k?\nAnswer: -62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*(-1)\/(-4))\/(3\/(-6))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u + 4. Let y be p(6). Suppose 0 = -3*d - 12, -5*z - 4*d = -y - 8. Calculate the remainder when 14 is divided by z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 260\/100 - 4\/(-10). Solve -y + 8 = 5*j, -3*y - 1 = 4*j - s for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l. Let x(z) = -98*z**2 - 4018*z + 34. Determine x(y(j)).\nAnswer: -392*j**2 + 8036*j + 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 163857 divided by 5?\nAnswer: 163857\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 3*k - 2. Suppose 0 = -s + 4*c - 1, 3*s - 30 = -s - c. Suppose d = 37 - s. Calculate the remainder when d is divided by m(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2125 + 2124 - 87*z**4 + 20*z**2 - 4*z**3 - 20*z**2 to b + o*z**3 + l*z + d*z**4 + t*z**2 and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 + 10. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*d + 29*d = 28 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.065 + -1.165. Let v(q) = 13*q + 4. Let j(r) = 27*r + 9. Let t(k) = -6*j(k) + 13*v(k). Let d be t(1). What is the closest to o in 0.3, d, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 72\/(-32) - 2\/(-8). Let m be 1\/((-7)\/l - 4). Is m*2*764\/(-16) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/105105 and 50\/80223.\nAnswer: 19654635","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 182008 (base 9) to base 15\nAnswer: 23738","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.731 + -0.109. Let j = y + 0.72. Let n = -0.28 + j. Sort n, -1, 2, -20 in increasing order.\nAnswer: -20, -1, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 12*c - 120 = 0. Suppose -44609 = -5*h + 2*y, c*y = 22*y - 6. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -2*o**2 - 113*o - 7. Let q(l) = l**2 + 2. Determine -k(g) - 3*q(g).\nAnswer: -g**2 + 113*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((27 - 27 - 3*o)*(-10*o + 5*o - 6*o) - 3*o**2 - 5*o + 5*o)*(2 + 1 - 1) to the form l*o + n + d*o**2 and give d.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -5682, -5688, -5698, -5712?\n\"Answer: -2*j**2 - 5680","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-20)*35\/42?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001402646 rounded to five decimal places?\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 809326?\nAnswer: 2, 7, 57809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of 0 - 93\/2*i**3 - 2*i - 5\/2*i**2. Let c be s(5). Round c to the nearest 1000.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001154 to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -46 + 46.00026. What is z rounded to four dps?\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18502 + 18507. Which is the nearest to -1\/6? (a) v (b) 0.2 (c) 0.12 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -74, -148, -222, -296?\n\"Answer: -74*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 96?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -24 + 46 - (32 + 0)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1504 + 147. Let n = 2718 + g. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1224)\/3366)\/(10\/55)*1\/(2\/98)\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 3*b + 15 = 0. Suppose -7*c + 6*c = -b. Solve 17 + 3 = -c*j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1790 + -1788. Let m(q) = 4*q - 30. What is m(s)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2719 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - 22a?\nAnswer: -231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by 141.\nAnswer: -5\/141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -206, -396, -830, -1604, -2814, -4556, -6926?\nAnswer: -10020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a**2 + 4*a**2 - 3*a**3 - 3*a**4 - 2*a**2 + 3*a**5 = 0. Calculate a.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1637*v + 188*v + 1543 - 1543 to h + f*v and give f.\nAnswer: 1825","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**3 - 67*j**2 - 136*j - 9. Let o be u(69). Calculate the greatest common factor of 15 and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 - 24 = -13*r. Differentiate 6*j - j**2 + 17*j**3 + r*j - 59 - 10*j with respect to j.\nAnswer: 51*j**2 - 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(4\/13))**(-5\/3)*(r*r**0*r*r)\/(r*r\/((r\/r**(-2\/27))\/r)) assuming r is positive.\nAnswer: r**(197\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 203 - 201. Find the third derivative of 55*s**6 + s**4 - 68*s**2 + 15*s**f + 31*s**2 - 1 wrt s.\nAnswer: 6600*s**3 + 24*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/4 of a litre in millilitres?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 22*y - 131. Let z(m) = 16*m + 6. Let q be z(0). Let p be a(q). Put 5, 61, p in decreasing order.\nAnswer: 61, 5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 z when two letters picked without replacement from lzrplvmz.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a**2*o**2*q**2 + 329*a**2*o - 3*a**2*q**2 + a*o**2*q - 4427*a*o**2 + 5*a*o*q**2 + o*q**2 wrt o.\nAnswer: 4*a**2*q**2 + 2*a*q - 8854*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + -9)*(1 - 851). Round n to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 0, -3*k - 2*k + 115 = 5*c. Calculate the highest common factor of 207 and k.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 449 - 320. Let u = l + -92. What are the prime factors of u?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 6353?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 32395 + -4?\nAnswer: 32391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 102, 0.2, -8\/7?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-8*60\/(-96))\/((2\/70)\/(6\/30))\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 7*j**2 + 24*j + 30. Is c(-5) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -0.19 (b) 3.71 (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.080497779 minus -9?\nAnswer: 9.080497779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17605, 35163, 52719, 70273, 87825, 105375?\nAnswer: 122923","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n**2 - 6484*n + 96360 = 0. Calculate n.\nAnswer: 15, 1606","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nx when two letters picked without replacement from epepexxxleenrpe.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((8\/20)\/(-1))\/(880\/(-275))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*u = -41*u + 9 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -802*w**3 - 2*w**2 + 2*w - 3*w**2 + 4*w**2 + 194.\nAnswer: -802*w**3 - w**2 + 2*w + 194","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 - 24*s**2 - 22*s + 19. Suppose -230 = 16*v + 138. Calculate j(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -101e + 13c4?\nAnswer: 3a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 + (8 - -1)\/(-3). Let d = f - -3. What is the units digit of d\/(1 - (-16)\/(-14))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-52*i**2 + 370*i**2 - 189*i**2)*(-1 + 1 - 2*i) - i**3 + i**3 + 2*i**3.\nAnswer: -256*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*i + 139 + 11 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7605.125 plus -0.6?\nAnswer: 7604.525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + h**3)*(-1 - 3 + 1)*(-2*h + 0*h + 0*h)*(4*h - h - h) - 4 - 2*h**5 + 4.\nAnswer: 10*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28648, 114570, 257766, 458230, 715956, 1030938?\nAnswer: 1403170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -23243311 - -1?\nAnswer: -23243310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.7758153 - -0.047.\nAnswer: -4.7288153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:29 AM and 3:29 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w - 5*w - 9 - 15.\nAnswer: -5*w - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 41\/2 of a centimeter?\nAnswer: 205","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*g - 5932 = 564. What is the remainder when 278 is divided by g\/(-10) - 42\/70?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 5*f. Let k(r) = -19*r**2 - 1. Give t(k(s)).\nAnswer: -95*s**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(-3)*2\/(-12)*192\/(-128)\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -82 + 227. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.395969ml to litres.\nAnswer: 0.006395969","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 912408 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -16721*y**2 - 1. Let k(u) = 68*u**2. Give z(k(m)).\nAnswer: -77317904*m**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 32*z**3 - 6*z**2 - 25*z + 64. Give y(2).\nAnswer: 246","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 143759 (base 10) to base 13\nAnswer: 50585","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of 1\/120*x**6 + 5*x**2 + 7\/12*x**4 + 0 + 0*x - 3*x**3 - 11\/60*x**5. List the prime factors of t(11).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128 is divided by 58?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.5 + -19.5. Let u = j - -18. Let x = -3.16 - -3.2. Put x, 1, u in decreasing order.\nAnswer: 1, x, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1923, 3835, 5741, 7641, 9535?\nAnswer: 11423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/3 (b) 4 (c) 44 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1710110279 is divided by 11293?\nAnswer: 11289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4767266 hours in seconds?\nAnswer: 1716.21576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 926?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of 5*l**4\/12 + l. Let y(n) = -7*n + 181. Let h be y(-31). Let q(v) = h*v + 399*v - 800*v. What is k(q(u))?\nAnswer: 45*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -61 minus 0.014?\nAnswer: -61.014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 51853, 93944, 136035, 178126?\nAnswer: 220217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n + 2. Let s be (-54)\/(-45)*(-5)\/(-2). Let z(y) = -3 + 4 - s*y + 3. Suppose -10 + 4 = 2*u + h, -2*u - 3*h - 10 = 0. Calculate u*z(x) + 5*t(x).\nAnswer: x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**2 - q + 0*q + 4 - 2. Let o be b(2). Let g be 3\/(1\/o*-6). Which is smaller: 1 or g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 + 4 + 16\/8. List the prime factors of ((-22)\/6)\/(s\/(-12)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 885\/45 + (-5264)\/564*(-6)\/(-4).\nAnswer: 17\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(4\/7)\/s)**(-18)*s\/(s*s**13)*(s\/(s*s\/s**(-33)))\/s assuming s is positive.\nAnswer: s**(-282\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 35, -370, -1045, -1990, -3205, -4690?\n\"Answer: -135*v**2 + 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - 387162 - -1) + -2. Let n = 1837181 + l. Suppose -3*c - 224182 = -4*k - 1094166, n = 5*c + 4*k. Round c to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 - 7*k**2 - 9*k - 19. What are the prime factors of p(9)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*l - 990 = -3*l. Is l a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16239 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1911 + 4088756.5.\nAnswer: 4090667.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the third derivative of -k**5\/24 + 4*k**3 - 30*k**2. Let w(b) be the first derivative of l(b). Determine w(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2*(-8 - 2827830\/(-20)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*h**2 - 26*h**2 + 7*h + 2 + h - 9*h**3 - 7*h - 4*h**3 to the form u*h**3 + m + z*h**2 + y*h and give u.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1477877?\nAnswer: 19, 77783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*q = 10*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 17527711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (4*(sqrt(108) + 1) + 0 + sqrt(108) + -5)**2*-5 + -5.\nAnswer: -13515 + 300*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**3 + 690*x**2 + 41904*x - 3236696.\nAnswer: 2*(x - 43)*(x + 194)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -10*l. Let h be u(1). Let g(a) = 7*a - 111. Let b be g(16). What is the third smallest value in h, -4\/5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -380*i**3*w - 8*i**3 + 142*i + 9*w**2 with respect to w.\nAnswer: -380*i**3 + 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -58 or -46?\nAnswer: -58","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 488 - -686. List the prime factors of j.\nAnswer: 2, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p + 4. Let n be r(-2). Let f(y) = 6*y - 7*y + n*y. Let o(k) = -3*k**2 - 2*k**2 + k**2. Calculate o(f(i)).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -8 - ((155 - 76) + 8 + -8).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j**3 + 116*j**2 + 130*j + 911. Give o(-57).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2521, 2550, 2579, 2608?\n\"Answer: 29*d + 2492","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o - 1. Let n be y(-6). Solve -a = -n*a + 16 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -34*b - 35*b + 75*b - b**3 + 0 + 5. Let z(c) = -c**3 + 7*c + 6. Give 7*f(i) - 6*z(i).\nAnswer: -i**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -111*r + 96*r + 325 = -50. Solve 13*n = r + 66 for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*g + 13*g + 5*g)*(40*g - 40*g + 5*g**2)*(-2*g + g - g) as n*g**4 + b + k*g + p*g**2 + u*g**3 and give n.\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (8 + 8 + -6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -254806*r*u + 6315006*r - 5*u**2 - 6*u wrt u.\nAnswer: -254806*r - 10*u - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*m - 2*d, 0*d = -2*m - 4*d + 24. Suppose 5*g + 3*k = 63, -5*g = -2*k - k - 57. Suppose m*x - g - 6 = 0. What are the prime factors of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2024865 to the power of 1\/2, to the nearest integer?\nAnswer: 1423","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 85363?\nAnswer: 85363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 503\/36 - 200\/9. Suppose -x - x - 4 = -u, 0 = 3*u + 3*x + 6. Find the common denominator of -1 + u + (-35)\/(-11) and k.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00728558 to 3 decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4822 is divided by 67.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 7492.89 months?\nAnswer: 624.4075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, t: 11, h: 1, s: 1}. Give prob of picking 1 a and 1 h.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-859)\/(-10308))\/(2\/10 - (-23)\/(-40)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -47*g + 22*g + 23*g. Let q = 17 + -15. Suppose 4*h - 5*h + 6 = q*r, 3*r = 4*h + 9. What is n(r)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 3*p**3 + 123*p**2 + 21*p + 191. What is the thousands digit of k(-37)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*b*q**4 - b*q**3 + 80011*b*q**2 - 7*b + 8*q**4 - 23333*q**3 - 4*q**2 wrt q.\nAnswer: -48*b*q - 6*b + 192*q - 139998","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 227606 - 75873 - 7*v**3 - 75866 - 75867.\nAnswer: -7*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.02223 * 14\nAnswer: -0.31122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2\/5))**11\/(u**(-8\/7)*u*u*u**(-4\/5)*u))\/((u*u\/u**(-1\/4))**(1\/6)\/(u*((u\/(u**(-2)*u*u))\/u)\/u)**(-4\/5)) assuming u is positive.\nAnswer: u**(-1633\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 - -1157662300.79?\nAnswer: 1157662301.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -4*j - 5*b, -2513*j + 8*b - 65 = -2516*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1182 (b) 0.013 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.04 - -1.96. Let y = m + 35. Let n = -36 + y. Which is the nearest to 1\/3? (a) n (b) 2 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 37*h + 369. Let l be r(-9). What is the greatest common factor of l and 1548?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -590, -571, -558, -551, -550, -555, -566?\nAnswer: -583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 61\/(-175) + (-18)\/225. Let y = -8.5 + 8. Which is the biggest value? (a) q (b) 3 (c) y (d) 10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1772 at most as big as 3220?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the second derivative of -5\/2*r**3 - 10*r + 1\/4*r**4 - 9*r**2 + 0. Determine t, given that s(t) = 0.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 297 + 8*d + 291 + 292 + 306 - 1168.\nAnswer: 8*d + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4819\/752 - -216\/47. Let f = -135293\/82758 + 7\/1061. Find the common denominator of f and t.\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 434 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2304 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4 - 1)\/((-291)\/(-485)). Let n(j) = 4 + j**2 - 7*j + j**2 - j**2. Calculate n(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 531*k**3 + 6. Let f(n) = 176294*n**3 + 1991. What is 6*f(u) - 1991*w(u)?\nAnswer: 543*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -519 + 1041 - 522 + 6*t**2 - 7*t**2 + 2*t**2.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 4, 0.05, -4\/7, -76, -1\/3?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0539 + 3.9461. What is the closest to -0.2 in 2, h, 0.5, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6954000 to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 4 + 22 = 5*j, 24*s = -41*j - 34*j + 84*j + 216 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 25 and 305?\nAnswer: 1525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of c**8\/100800 - c**7\/210 + c**6 - c**5\/15 - 7*c**3\/2 + 103*c**2. Let b(d) be the third derivative of t(d). Factor b(z).\nAnswer: (z - 60)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = 854*m - 864*m - 45, 0 = -m - 5*w + 19 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -4*v**3 - 19*v**2 + 16*v + 89. Let k be n(-11). Calculate the greatest common divisor of 91 and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 - 2*h**2 + 3*h. Let m be 9\/(-6) - 18\/(-4). Suppose -m - 2 = -5*c, 0 = -2*b + 2*c. Let q be 0\/9 + (b - -1). Determine z(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.077 + -2272456\nAnswer: -2272452.923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-1\/4)*x\/((x**(-1\/3)*x)\/x))\/(x**(-1\/3)*x**(2\/7)))**(2\/25) assuming x is positive.\nAnswer: x**(19\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 5384329 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1 + 0 + 4*p**2 - p**2 wrt p.\nAnswer: 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/20 + (-72)\/180)\/((-3)\/(-4))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (-1 + sqrt(28) - sqrt(49)\/(sqrt(28)\/sqrt(4)) - sqrt(28)\/(sqrt(144)\/sqrt(4))))**2.\nAnswer: -8*sqrt(7) + 352\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 + 9*x**2 + 111*x + 836. Determine g(-8).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x\/x**(-3\/2)*x**(3\/5)\/x*(x\/x**(-39)*x)\/((x*((x*x\/x**2)\/x)\/x)\/x) assuming x is positive.\nAnswer: x**(461\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -199433*v**2 - 5*v - 12*v + 17*v.\nAnswer: -199433*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 AM and 9:25 AM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -11, -16 in decreasing order.\nAnswer: -4, -11, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -464 - -429.7. Let v = f + 35.3. What is the nearest to 1 in v, 0.4, 4\/11?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 6641586, 6641584, 6641582?\n\"Answer: -2*j + 6641588","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Let l = -12 - -19. Let k = 33 - 15. Let q = k + -17.8. Put q, l, 3\/5 in ascending order.\nAnswer: q, 3\/5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - -51?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 + 2054511?\nAnswer: 2054512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b = -24 + 115. Let h(w) = 8*w**2 - w - 88. What is the units digit of h(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from sskksssksss?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -322530533726*r**2 - 82*r**3 + 85*r**3 + 322530533726*r**2.\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -4 - (4 - 3 - 8). Let u(t) = -x*t - 5 - 12 + 7*t + 0. What is the units digit of u(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = 15*r - 18*r - 12, 3*r = 3 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of s**4\/24 + 4*s**3 - 6*s**2. Let x be h(-14). Suppose q - x = -q. Solve q*k = 4*g + 1, -6*k = g - 5*k + 7 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29957 to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -6100 divided by -6?\nAnswer: 3050\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2477 * 4.\nAnswer: -9908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(56)\/sqrt(4))\/sqrt(7) + sqrt(2) + 2 + sqrt(2) + 0 + sqrt(2) - (1 + sqrt(54)\/sqrt(3) + (sqrt(198) - (-2*sqrt(198) - sqrt(198)))\/sqrt(11)))*-5.\nAnswer: -30 + 330*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 56*c**5 - c**4*o**2 + 53*c**2*o**2 - c**2 wrt c?\nAnswer: 3360*c**2 - 24*c*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 3*t - 2*t + 6, 4*m = -t + 15. What is the second derivative of -m + 3 + 3*i**5 - i**5 + i wrt i?\nAnswer: 40*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*p + 89*p - 50*p.\nAnswer: -9*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15.38 * 248468.\nAnswer: -3821437.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 199837453 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0\/1)\/(2 + 0). Suppose 0 = -4*m + i - o*i - 5, 0 = 5*m + 4*i - 20. Let b be 2\/(-4)*(m + -6). Solve 0 = b*u - 12 - 0, -5*u + 18 = p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3826 - -7485. What are the prime factors of u?\nAnswer: 3659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 + 16*z - 3. Let w be p(15). Suppose -b - a - w = 2*b, -b = a + 4. Let c be b*(30\/(-8))\/5. Solve 21 = -c*m + 4*o, -m + 12 = -2*m + 3*o for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 - 9*b**2 - 5*b - 7. Let t(k) = -k**3 - 10*k**2 - 5*k - 8. Let o(s) = 5*d(s) - 4*t(s). Give o(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 86*y - 15 - 157. Solve -4*p - 3 = -3*d + 4, -2 = y*d - p for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3388352.38 rounded to the nearest one hundred thousand?\nAnswer: -3400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 - 4*z**2 + z - 10. Let y be l(-5). Suppose -y = 6*s - 11*s. Let g(j) = -2*j**s + 4*j**2 + 0 - 4*j + 0 + 4. What is g(3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*h + 574 - 43 = -1181 for h.\nAnswer: 107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d + 1. Let r(p) = p**3 + 5*p**2 - 6*p + 5. Let s be r(-6). Let j be (-105)\/7*2\/(-6). Let a(m) = -j*m + m + m - m - s. Calculate -a(q) - 3*c(q).\nAnswer: q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 + 44*l - 33. Let o be q(43). Solve -5*d + 2*s - o = 0, -3*s + 15 = -43*d + 44*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4006*y + 16021*y - 4004*y - 4008*y - 4008*y.\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64\/80*5*1\/(-22).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14964 and 26187.\nAnswer: 104748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -20*z**3 + 412*z**2 - 1432*z - 640 = 0. What is z?\nAnswer: -2\/5, 5, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -6695.9587 to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b + 4. Let o be a(0). Suppose 4*n + 0 = -o. Put n, 2, -5 in descending order.\nAnswer: 2, n, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*u**4*w + 2*u**3 + 2573229*u**2*w - 4*u*w - 3742469*w wrt u?\nAnswer: 48*u**2*w + 12*u + 5146458*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*c = 23*c - 1. Suppose g + 4*i + 0*i = 2, 2*g = -3*i - 1. Let k be 1\/g*(-2)\/(-2). Is k at least as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 3*f = 4*f - 5, -5*f + 10 = 0. Calculate the remainder when -2*(-3 - (-14)\/i) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 2*p**3 - 37*p**2 - 1 - 39*p**2 + 73*p**2 - 170*p**4 in the form t*p**4 + y*p + s + n*p**2 + o*p**3 and give t.\nAnswer: -170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a kilogram in milligrams?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2574?\nAnswer: 2, 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t**2 + t**2 - 2*t**2 + (2*t + 25*t - 11*t)*(0*t - 4*t + 3*t).\nAnswer: -14*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10051 by 6584.\nAnswer: -10051\/6584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 10:30 PM?\nAnswer: 12:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 929?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3012539, -3012537, -3012525, -3012497, -3012447?\n\"Answer: a**3 - a**2 - 2*a - 3012537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q and 2 a when four letters picked without replacement from {d: 8, q: 7, a: 5}.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -267 - 1. What is the units digit of z\/(-12) + 1\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28 - 100*b**3 + 35*b**3 + 36*b**3 + 34*b**3 - 28.\nAnswer: 5*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 PM and 4:13 PM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 70 + -160. Calculate the common denominator of (624\/p)\/((-2)\/5) and 95\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*w**3\/9 + 136*w**2\/9 - 254*w\/9 - 28\/3.\nAnswer: -2*(w - 7)*(w - 3)*(7*w + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/6 - 48\/(-18). Let o(k) = -2*k**2 - 5*k - 2. Let g be o(-2). Suppose -2*u - q*u + 635 = g. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 + 15*r - 26. Let l be s(5). Suppose -q + 89 = -2*v, -3*q - 5*v = -l - 221. Is q even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -6*g + 25. Let m(k) = 5*k - 24. Let c(u) = 6*a(u) + 7*m(u). Let h(q) = -q - 1. Let t(i) = -c(i) + 6*h(i). Is t(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 53\/5 + -10. Let r(j) = 2*j**3 - 18*j**2 + 38*j + 12. Let u be r(5). Which is the closest to 1? (a) -0.5 (b) u (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x + x - 26*x)*(5 + 0 + x - 1).\nAnswer: -28*x**2 - 112*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mt when two letters picked without replacement from ttyymytmymttmy?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7\/(3*(-1)\/(-3)). Suppose 0 = -3*t + x*t. Let n be (t + 0)*(-2 + 3). Solve b + 5*p = 14, n = 4*b - 2*b - p + 5 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**0\/d)**17\/((d*d**(-9)*d*d)\/d**(-4\/3)) assuming d is positive.\nAnswer: d**(-37\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -818*u + 1 - 493*u**2 - 458*u**2 + 1 + 813*u to the form a*u**2 + x*u + f and give a.\nAnswer: -951","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 41989 and 4.\nAnswer: 167956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/s**22))\/s**4 assuming s is positive.\nAnswer: s**18","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.7 + -3.7. Let h = -75 - -71. What is the third biggest value in s, h, 0.01?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41, 49, 47, 35, 13?\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, 2, 94, 14\/79 in increasing order.\nAnswer: 14\/79, 0.3, 2, 94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r + 9. Let u be c(-7). Suppose -3*o + 2*z = 3 + 1, 5 = -u*o - z. Let b = 1 - o. Is 2 at most b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/198 and -11\/15?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((sqrt(266)*2)\/sqrt(7))\/(2*sqrt(2)*-3))**2.\nAnswer: -4*sqrt(19)\/3 + 55\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (18\/(-3))\/3*(-12 + 756\/56). Suppose 3*x = 2*q + 5, -2*x + 3*x - 5*q = 19. Sort -4, a, x, 3.\nAnswer: -4, a, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23604 divided by 84.\nAnswer: 281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 0*b**2 + 7*b - 6*b - 2*b**2)*(44 - 18 + 31)*(0 + 0 + 2*b)*(3 + 0 - 1) + 2*b**3 + 3*b**3 - 6*b**3.\nAnswer: -457*b**3 + 228*b**2 - 228*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1*(63\/(-21))\/((-6)\/(-4))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 204\/20 + -11 - (-46)\/(-5). Let y be (k\/(-105))\/((-10)\/30). What is the third biggest value in y, -9\/2, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 195 and 1005.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 5*x**2. Suppose 5 = -a - 5*d + 2, 9 = 5*a + d. Let t = 2 + 0. Let l(c) = -c + t*c - a*c. What is z(l(n))?\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -16106*h**3 - 289636*h**2\/3 - 144410*h + 816 = 0. What is h?\nAnswer: -3, 136\/24159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/2 + 806\/(-124) - -1?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2574 and 14834490.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-42)\/(-5)*1*-5. What is the common denominator of 931\/f - (-1 - -1) and (-9)\/27*405\/12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 11:19 AM?\nAnswer: 6:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 - 12*c + 12. Suppose 3*v = -8 + 41. Let m be w(v). Put -4, 5, m in decreasing order.\nAnswer: 5, m, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 PM and 8:34 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 42574?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.87118 rounded to 1 dp?\nAnswer: 13.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -50301882?\nAnswer: -50301877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 65 + -42. Let p = j - 35. Let v = -11.93 - p. Does v = 1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6062)\/63 - (-1)\/(9\/2). Round p to the nearest 10.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 265578 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: Express (907*k + 324 - 162 - 162)*(-k - k + 0*k) in the form o*k + p + g*k**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 + 25*f**2 + 74*f + 166. Let q be i(-22). Let j(r) = -2*r**2 - 21*r - 10. Calculate j(q).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23373?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = -11*l - 8 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -410242 - -12022?\nAnswer: -343220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**2 + 4*u + 1. Suppose 4*l = 3*l + 5*f - 11, l - 29 = -5*f. Let y = 17 - l. Suppose -3*s - 2*s - 4*n = -21, -2*n = 2*s - y. Determine c(s).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.005025656 rounded to 5 decimal places?\nAnswer: 0.00503","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19948 + -19946. Solve 3*s = -a*r - 5, -2*r = -2*s - 0*r - 10 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u**5\/6 - 9299*u**4\/6 - 135256*u**3\/3 = 0. Calculate u.\nAnswer: -29, 0, 9328","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 + -0.0767.\nAnswer: 0.4233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2\/15 (b) -2\/5 (c) -1.4 (d) 266\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (176\/(-154))\/(44\/(-63))?\nAnswer: 18\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 3*t = 72, -4*m + 8*m + 211 = 7*t + 65 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 1 = 2*p - 0*p, -4*q - 10 = -5*p. Let d(f) = 169*f**2 - 8*f - 7. Let v be d(q). Suppose 5*h - v + 94258 = 0. Round h to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 + 3*m**2 + 2*m - 1. Let a be s(-2). Let c = a - -4. Suppose r - 232 = -c*d, -70 = -d - r + 8. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.04 - -0.04. Let k = 1.4 - 1. Let l = 0 - -2. What is the second smallest value in k, c, l?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 4*r**2 + r**2 - 2*r**2 - 2*r**2. Suppose -4*x + 7*x = 0. Let n(o) = -4*o**2 + x*o**2 + 3*o**2. Determine n(k(y)).\nAnswer: -y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 88 and 5086598.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -523507 or -523531?\nAnswer: -523507","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 1676*k + 80857. Calculate a(-48).\nAnswer: 409","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 - (-11 + 483\/35). What is the nearest to r in 0, 5\/6, 0.03, -2\/9?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 17 = 4*b + 2*j, b - 2*j - 4 = 0. Suppose 9 = -2*v + v - 4*p, -5 = 5*p. Let h = b + v. Is h less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**32*t**(3\/4)*(t**(-2\/17)*t)**(-33\/5) assuming t is positive.\nAnswer: t**(1831\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, e: 1, g: 1, q: 2, u: 2}. Give prob of sequence gel.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 101000011 (base 2) to base 15\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2388051 and 45?\nAnswer: 11940255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -3*n. Suppose 0 = d + 5 - 9. Suppose 0 = 5*y - 4*x + 29, 3*y + d*x = y - 6. Let p(o) = -2*o. Determine y*p(z) + 3*w(z).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 9, r: 3}. What is prob of picking 1 p and 1 r?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6135636 and 44252.\nAnswer: 1924","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -171 + 171. Factor -5*b**3 + r*b - 103*b**2 - 40*b + 133*b**2 - 5*b.\nAnswer: -5*b*(b - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of f**3\/3 + 9*f**2\/2 + f + 1. Is 11 a factor of l(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6835*z**2 - 6120*z + 6115*z**3 - 35*z**5 + 350*z**4 + 6480 + 40*z**5 + 5*z**4 = 0. What is z?\nAnswer: -36, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 786735349 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123*q - 3*q = -69*q. Which is the closest to -3? (a) 9 (b) 1 (c) q (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 163 - 413 = 0. Suppose 8*x = 2*o + 84, 4*o = -12*x + 8*x + 12. Calculate the highest common factor of x and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -5*n**2 - n**2 + 17 - n**3 + 2*n**2 - 16 - 16 + n. What is t(-5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86829497 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 19539, 19783, 20013, 20223, 20407, 20559, 20673?\n\"Answer: -v**3 - v**2 + 254*v + 19287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -52*x + 21. Let v(z) = 60*z - 22. Let u(n) = -7*i(n) - 6*v(n). Calculate u(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 14*b**3 + 7*b**2 - 12*b - 10. Let l(g) = 3*g**3 - 2. Let q(r) = 5*l(r) - z(r). Suppose q(j) = 0. What is j?\nAnswer: 0, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of -v**6\/15 + v**4\/2 + 2*v**3\/3 - v + 97. Factor z(d).\nAnswer: -2*d*(d - 2)*(d + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 3 - 8 = 0. Sort -4, i, -2 in ascending order.\nAnswer: i, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 4*b - 3*q - 2, 34 = 4*b + q. Solve -3*i = -b + 2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 166 is divided by ((-336)\/(-60))\/(2\/10).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of -m**3\/3 - 5*m. Let p(d) = -2*d. Give a(p(v)).\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -992.86 and -0.4.\nAnswer: 397.144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*z**4 - z**4 + 0*z**4 + (-13*z + 13*z - z**4)*(-2 - 1 + 1).\nAnswer: 6*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5131*d**2 - 287*d + 5726*d**2 + 53*d - 137*d - 97*d + 2 wrt d.\nAnswer: 21714","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -549.499 + 549.4. Let y = 0.298 + 0.103. Let z = y - v. Is z greater than or equal to -0.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2*p. Let w(b) = 1916*b**2. What is j(w(k))?\nAnswer: -3832*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2843547 divided by -21\nAnswer: -135407","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 113*p - 2019 - 806 for p.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/7))**20*(g*g**4)\/g*g*g*g*g\/g**(6\/5)*g*g assuming g is positive.\nAnswer: g**(208\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/((j**3*j*j*j*j)\/j)*j)\/(j**2\/j)*j*j**(-2\/17)*j**2\/j*((j\/j**(4\/5))\/(j\/((j*j**(-6))\/j)))**(-4\/3) assuming j is positive.\nAnswer: j**(1517\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 50\/30 + (-16)\/12\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -232190799 divided by 6?\nAnswer: -77396933\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7635 - 7497. Solve -74*a + 28*a = -s for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*b - 3524930 - 966845 = 0. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 3*c = -440 + 49, -375 = -5*b - 5*c. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 53 - 37. Let u(j) = -j**2 + 63*j + 570. Let k be u(-8). Solve -k*y + l = -6*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10 - -13. Suppose -b*a + 13 = 2*j - 0*j, -4*j = -5*a + 7. Suppose j*z = 3*m + 57, -2*m + 6*m - 124 = -4*z. Is 8 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 + 6*p**2 - p - 4. Let v be z(-6). What is the second derivative of 2*f**v + 7*f - 5*f**2 + 4*f**2 - 2*f wrt f?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -8*a - 8. Let g(j) = -j + 2. What is 3*g(b) + t(b)?\nAnswer: -11*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express y - 3*y - 11*y**2 + 20*y**2 - 8*y**2 - 11*y**2 + 3 in the form u*y + z + m*y**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (52\/143)\/((-182)\/(-77)).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 247 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 AM and 8:26 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 109, 110, 121, 148, 197, 274, 385, 536?\n\"Answer: z**3 - z**2 - 3*z + 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2*a + 30 = 0, -3*n = 2*n + 5*a - 130. Let l be (-4)\/10 + n\/5. Suppose -10 = l*t - 9*t. Solve 0*v - t*v = 6 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 PM and 5:39 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -12, 12, 36, 60, 84, 108?\n\"Answer: 24*z - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of r**7\/7 + r**3\/3 + 6. Find the third derivative of b(y) wrt y.\nAnswer: 120*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*q - 1 - 4*q + 2 + 1 + 2073*q**3 - 2078*q**3 - 9*q**4 in the form d + p*q**4 + x*q**2 + o*q**3 + r*q and give p.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -77, -112, -135, -116, -25, 168?\nAnswer: 493","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -334, -310, -302, -316, -358, -434?\nAnswer: -550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 32*h. Let t(i) = i**3 + 8*i**2 + 7*i + 4. Let u be t(-3). Let x(n) = 10*n**2 - 53 + u + 25 - 3*n**2. Determine z(x(j)).\nAnswer: 224*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**2 - 16527*k - 18040500.\nAnswer: -3*(k + 1500)*(k + 4009)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -19755387 - -0.4\nAnswer: -19755386.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, 2.3, -3\/7 in ascending order.\nAnswer: -3\/7, -2\/11, 2.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d**3 - 70*d - 81*d + 45*d**2 - 45*d**2.\nAnswer: 2*d**3 - 151*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -174\/688469?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11210520 - 3?\nAnswer: -11210523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -40*i**3 - 3*i**2 + 3*i - 114. Let y(c) = 41*c**3 + 2*c**2 - 2*c + 114. Let n(w) = 2*m(w) + 3*y(w). What is the first derivative of n(h) wrt h?\nAnswer: 129*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 p when three letters picked without replacement from {w: 1, p: 3, d: 8, a: 1, q: 1, g: 2}.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-5\/8)*(v*v**(6\/13))\/v)\/((v*v\/(v*v*v**(2\/67))*v)\/(v\/((v*v*v**(9\/2))\/v*v*v))) assuming v is positive.\nAnswer: v**(-53191\/6968)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -2*y**3 - 6*y**2 - 8*y - 9. Let w be i(-8). Suppose -g - u + 139 = 0, -5*g + 2*u + w = 5*u. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 4*z - 1909 = -z, -4*z = 5*h - 2384. Let k = h - 899\/2. Find the common denominator of k and 123\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooooizzozi. What is prob of picking 3 o?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 29172619*j**4*u**2 - 2*j**2*u**2 - 378866*j**2 + 13*j*u wrt j.\nAnswer: 700142856*j*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 75 - 42. Does 2 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(((-12)\/(-1))\/6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/(-81)*-3)\/(3\/(-3)).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 14 - ((-2)\/(-2) - 3). Suppose 2*p - m + 8 = 0. Let d(r) = 2 - r + 12*r**2 - 2 + 1 - 11*r**2. Let h(y) = -2*y**2 + 4*y - 5. Give p*d(t) + h(t).\nAnswer: 2*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 280645, 280664, 280683, 280702, 280721, 280740?\nAnswer: 280759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -299? (a) -0.2 (b) -1\/6 (c) 1.2 (d) 2 (e) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22392)\/9330*(-5)\/(-44).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3880749\/70 + 55441. What is the common denominator of p and 63\/20?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 222, 244, 286, 354, 454, 592?\nAnswer: 774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -4*x. Let u be l(-1). Suppose 0*p - 4*p = 5*b + 8, 3*b = 2*p + u. Suppose 2*c - 3*y = -0*c + 31, b = -2*y - 2. What are the prime factors of c?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b**3 - 2*b**2 - 11*b + 4. Let q be 1 + 1 - ((-21)\/3 + 6). What is the remainder when 47 is divided by l(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the third derivative of -19*z**6\/120 + z**5\/15 + z**4\/6 + 8*z**2 + 35*z. Let d(u) = 18*u**3 - 3*u**2 - 3*u. Give 4*d(m) + 3*w(m).\nAnswer: 15*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/834 and 57\/8.\nAnswer: 3336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 25\/(-50) + 397\/2. Let z be -4*1\/5*(-45)\/s. Determine t, given that 0*t + z - 2\/11*t**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 - 6*f + 17. Let d be p(-7). Let t be d\/25 + 22\/(-5). Let x = 33 - t. List the prime factors of x.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 151*g**2*h**2 + 310*g**2 - 2*g*h**3 - 3*g*h - 2*g with respect to h.\nAnswer: 302*g**2*h - 6*g*h**2 - 3*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (288\/(-36))\/(2 + 6\/8). Put 4, -0.5, d, -5 in descending order.\nAnswer: 4, -0.5, d, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 28 = -7*y + 2*y, 0 = y - 5*a - 1. Which is smaller: 57\/11 or y?\nAnswer: 57\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2480000 rounded to the nearest one hundred thousand?\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -15*j + 45*j - 19*j - 10*j. Let c(z) = -568*z. Determine y(c(q)).\nAnswer: -568*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 9*f + 17. Let l be w(-6). Let y = -17 - l. Calculate the greatest common factor of y and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000001101010111 (base 2) in base 14?\nAnswer: -c379","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -0.35?\nAnswer: -0.35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2 (b) 23 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4 or 159297?\nAnswer: 159297","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cccq when four letters picked without replacement from {i: 1, u: 7, q: 1, c: 5}?\nAnswer: 5\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4745*-0.1648.\nAnswer: 0.0781976","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1846576.\nAnswer: 2, 131, 881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 7 - 36\/5. Put d, -3\/8, -5 in descending order.\nAnswer: d, -3\/8, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39978, 39739, 39500?\nAnswer: 39261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(675) + sqrt(675)*-3)*-3 - (3*-1*sqrt(24))\/(3*sqrt(40)\/sqrt(5)).\nAnswer: 91*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (16\/20)\/(2\/5). Let g(q) = 11*q - y*q - 8*q. Let b(c) = -3*c + 4*c + 3*c. Determine b(g(o)).\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2046, 4094, 6142, 8190, 10238?\nAnswer: 12286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 885?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 26 = 2*o + n, -n + 43 = 4*o. Suppose -13 = -4*f + 3*q, 0*q = 4*f - 2*q - o. Suppose -f = -t - 2. Which is smaller: t or -2\/17?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2342 + -2339. Solve -5*l + g = -w*g + 29, 4*g - 9 = l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4705.2 or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1089 + -1088.7. Put -2, z, -22 in decreasing order.\nAnswer: z, -2, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 327 - 327. Let g = 22.1 + 75.9. Is u > g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.4062243 - 0.4064. Round m to 5 dps.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -473*c**4 + 2*c**3 + 70196*c**2 + 149807992*c wrt c?\nAnswer: -5676*c**2 + 12*c + 140392","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, s: 2, g: 6, a: 2}. Give prob of sequence ast.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52201 is divided by 66?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of b*n**3 + 9*b*n**2 + b*n - 2*b - n**3 - 4*n**2 + 7*n - 337 wrt n.\nAnswer: 6*b*n + 18*b - 6*n - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 + 37*j**2 - 66*j + 6. Determine c(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135 is divided by 37.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 15, 21, 21, 9, -21, -75, -159, -279?\n\"Answer: -a**3 + 3*a**2 + 4*a + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 26131\/38 < 689?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3030, 3, 4 in increasing order.\nAnswer: 3, 4, 3030","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together 339 and 124901.6324.\nAnswer: 125240.6324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 27993*l**2.\nAnswer: 27993*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -42 - -39. What is the closest to 2 in -4, 5, n?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -55*n**2 - 35*n - 51. Let j(k) = -2*k**2 + 2*k - 1. Let p(r) = 30*j(r) - 2*z(r). Factor p(d).\nAnswer: 2*(5*d + 4)*(5*d + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9384 and 14808?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 3\/11, 9\/8, -1, -3 in descending order.\nAnswer: 9\/8, 3\/11, -2\/7, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 378112811 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*c + 146*c = -2470 - 1069 + 904 for c.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 + -13.3. Let w = -1.7 + z. What is the second biggest value in w, 5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 903, 907, 923, 957, 1015?\nAnswer: 1103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -82 + 28. Let o = -53.999892 - c. Round o to 5 decimal places.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22 + 58 - 100) + 76?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fgg when three letters picked without replacement from {n: 4, f: 1, g: 8}?\nAnswer: 14\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hnzz when four letters picked without replacement from {h: 7, z: 4, n: 5}.\nAnswer: 1\/104","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j**2 + 3*j + 59. What is r(-7)?\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-106)\/(-44) + 2 + 0. Let y = -192\/55 - r. What is the common denominator of 79\/15 and y?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -56 + 61 + (26 - 7) + -24.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110000 - 101101011010?\nAnswer: -101110001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -306068 (base 9) to base 8\nAnswer: -542517","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 22\/(1 + 1) - -1. Suppose 45 = 3*t - m*t. Put 5, 0.5, t in descending order.\nAnswer: 5, 0.5, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m - 9. Let c = 13 - 0. Let d be o(c). Do d and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9913945 a multiple of 255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 - 279*l**2 - 13 + 2 in the form x + s*l**2 + d*l and give s.\nAnswer: -279","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8 and 244.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 + 160. Let s = 42749 - 42722. Calculate the remainder when f(0) is divided by s.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -120 = -10*k - 0. Let x be 1 + 0 + -1 + -11. Let s = k + x. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109*d - 3*d**2 + 213*d - 104*d.\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 AM and 7:06 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 13*o + 287. What is b(-21)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*w - w - w)*(3 + 2 + 1)*(-3 + 3 + 3)*(-2 + 0 - 2).\nAnswer: 144*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*n - 2 = -2*c, -152 + 148 = -n - 4*c for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.3 - -4.6. Let k = 0.56 - -0.44. Let g = k - l. Round g to 0 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 32546a - 12?\nAnswer: 325458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 686396 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-420)\/(-63))\/(-20) + 26\/6. Sort -3, 0, -66, 1, n in decreasing order.\nAnswer: n, 1, 0, -3, -66","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 4, u: 3, e: 1, d: 1, y: 1, n: 4}. What is prob of picking 1 d and 1 e?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1307358?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1014 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 + 2*v - 2. Let o(g) = 6*g**2 + 28*g - 26. Determine 28*l(x) - 2*o(x).\nAnswer: -40*x**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4.975 + 0.025. Let n = -7 + u. Suppose 4*x = z - 15, x - 45 = 5*z + 5*x. Which is the third smallest value? (a) -4 (b) n (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -291f69 (base 16) to base 7\nAnswer: -31623123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 169 + 39 + -52 + 4 + -45.\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the third derivative of j**6\/120 - j**5\/5 + 2*j**3 + j**2 + 627. Suppose 3*x - 17 - 19 = 0. Calculate the remainder when 129 is divided by m(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 16, -3 in decreasing order.\nAnswer: 16, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2435502001 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 160 and 2676300.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/300 and -69\/20?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 5007 - 5425. Let o = n - 1512. What is the hundreds digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -823175.55 to the nearest 100000.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 9679, 20, 1, -5, 4 in decreasing order.\nAnswer: 9679, 20, 4, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 9:51 AM?\nAnswer: 3:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -3*r. Suppose -2*u + 1 - 3 = r. Let m be (u - -2)*(-2)\/4. Does -0.1 = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 224688 and 7788882?\nAnswer: 906","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.584287 meters in nanometers?\nAnswer: 584287000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-29)\/(-171) - 206\/(-3914). Find n such that -x*n**2 - 8\/9*n - 2\/3 = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*x**3 - 1 + 3*x**2 - x**2 - 1 + 0*x**2 as h*x**2 + c*x**3 + l*x + g and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 5, -0.3, -361 in descending order.\nAnswer: 5, -2\/7, -0.3, -361","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -5 + 16\/4 + 4 + -1. Suppose 180 = -4*i + z + 60, -d*z = 0. Let g = i + 42. Is g a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3961576?\nAnswer: 2, 19, 67, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 53*q - 82*q - 290 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2*18\/(-4) - 1. Let z(s) be the second derivative of s**3\/3 - s**2 - 20*s. What are the prime factors of z(u)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 96, 4 in decreasing order.\nAnswer: 96, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 2*h + 1410 = 0, -4*w = -7*w + 5*h + 1401. List the prime factors of w.\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19128, 6, -41 in ascending order.\nAnswer: -19128, -41, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-582*y + 319*y - 574*y)*(1 - 2*y - 1) + (-3*y + 6*y - y)*(0 - 2*y + 0).\nAnswer: 1670*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -48*o**2 - 10*o. Let y(a) = a. Calculate y(f(n)).\nAnswer: -48*n**2 - 10*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 0 + 4 = 0. Suppose b*r + 3 = 11. Let l(o) = 0*o**2 + r*o + 1 - 5*o + o**2. Calculate l(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 + 15*w + 9. Let j be p(-12). List the prime factors of (-2)\/(-9) + (-534)\/j.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18607 less than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -283*q + 285*q - 151 = -5*z, -z + 4*q + 17 = 0 for z.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 + u**2 + 21*u**3 + 49*u**3 - 566*u**3 - 3*u**2.\nAnswer: -496*u**3 - 2*u**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 4, l: 3, s: 4, i: 1, d: 1}. Give prob of picking 1 l and 1 d.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -213 + 5?\nAnswer: -209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -149 + 156 - ((-1 + -19 - 4) + -2)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*z = 4*c + 6*z + 24, -5*z + 68 = -7*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 - -2 - (61 - 1). Let z = r - -152. Does 18 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89153*u**2 + 89161*u**2 - 178344*u**2.\nAnswer: -30*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 323*a**3 - 12*a**2 - 17*a + 14. Let t(i) = -194*i**3 + 7*i**2 + 10*i - 8. Give -12*t(d) - 7*x(d).\nAnswer: 67*d**3 - d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j + 3*j**2 - 2*j)*(2 - 2 + 2*j) + 3*j**3 - 6*j**3 + 2*j**3 + 0*j**3 + 0*j**3 - 3*j**3 - 36*j - 3*j + 3*j**3 + 9*j.\nAnswer: 5*j**3 - 30*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/6 + (2\/(-10) - (-72)\/135)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-52)\/182)\/(12\/35).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 274773377?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.57? (a) 5 (b) -2\/17 (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -0.5 (b) 1 (c) 19\/2 (d) -0.6 (e) -0.232\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve w**4 + w**5 - 13*w**3 + 23470 + 28*w + 20*w - w**2 - 23506 = 0.\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118 is divided by 81?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide (-10 + 104 + -6)*8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3952274*i**3*z**4 + 5*i**3*z**2 + i**3 + 3124722*i**2 + 16 wrt z?\nAnswer: 15809096*i**3*z**3 + 10*i**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a - 533357081 - 5*a + 533357081.\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 - l + 12. Let y be n(0). Suppose 2*h - 8 = h - 4*c, 4*h - 45 = -3*c. Is h bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, 1\/37, -35 in decreasing order.\nAnswer: 1\/37, -1\/2, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -6 - 11329720\nAnswer: -11329726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 82156 divided by -6?\nAnswer: -41078\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = 3*a + 5*i + 13, 0 = -3*a - 5*i - 17 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -803*j**3 - 7*j**2 - 9*j. Let r be b(-6). Suppose -r = a - 928201. Let z = -204951 + a. Round z to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.08 and 2526.16?\nAnswer: 2526.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119 is divided by 40?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i**2 + 1719*i**3 - 1730*i**3 + i**2.\nAnswer: -11*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h**3\/15 + 64*h**2\/15 + 512*h\/15 = 0 for h.\nAnswer: -16, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a millimeter in micrometers?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 858802.4us to seconds.\nAnswer: 0.8588024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -57*k**2 + 59*k**2 + 0*k**3 + 5*k**4 + k**3 + 19 as x + l*k**2 + c*k + f*k**3 + t*k**4 and give x.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3024, -12838, -29194, -52092, -81532?\n\"Answer: -3271*v**2 - v + 248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = c - u, 2*c + 8 = 4*u - 4. Suppose -15*g + 18*g - 45 = c. List the prime factors of g.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(20\/(-42)*-3).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -770, -2765, -4762, -6761, -8762, -10765, -12770?\n\"Answer: -q**2 - 1992*q + 1223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 22509819 a multiple of 1377?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 22928728?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 - 5*y - 5. Let z be r(-5). Suppose h + q = -2*q + 5, -4*h - 25 = -3*q. Put h, 0.2, z in ascending order.\nAnswer: z, h, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 10 = 4*z - r, -5*r = 4*z - 6 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of 17*l**4\/12 + 22*l**2 - 11*l. Differentiate b(y) wrt y.\nAnswer: 34*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102792441?\nAnswer: 3, 34264147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4925, 19067, 42421, 74993, 116789, 167815, 228077, 297581?\n\"Answer: d**3 + 4600*d**2 + 335*d - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 296195.665141 + -296394.666. Let t = 199 + p. What is t rounded to 5 decimal places?\nAnswer: -0.00086","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2568 divided by 8\nAnswer: -321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22 or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -2*865\/(-10) + -2 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71433.86 minutes to nanoseconds.\nAnswer: 4286031600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 14014 to the power of 1\/3, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1463987?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29894 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 + 11*y + 4. What is the units digit of z(10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 315? (a) 2.24 (b) -5 (c) -0.3 (d) 3 (e) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 + 7 = -13*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 46099?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + -1. Suppose b + 14 = n. Calculate the remainder when 27 is divided by n.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -212011010 (base 3) to base 10.\nAnswer: -16878","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8131 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -0.4, 20, 5, -0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -29*l + 6. Let k(u) = 144*u - 32. Let i = 14 - 18. Let p = 12 - i. Let d(r) = p*m(r) + 3*k(r). Let z(f) = f**2. Calculate d(z(x)).\nAnswer: -32*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -17 + 10. Let s(r) be the second derivative of -r**3\/6 - 3*r**2 - r + 30. Calculate s(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 312 and 96853080?\nAnswer: 1259090040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*q**2 - q**3 - 2 + 3 + 9*q**2 to z*q + n*q**2 + u*q**3 + d and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -87*b**4 - 10*b + 1356. Let t(i) = -2*i**4 + i**2 - 4*i. Let g(j) = q(j) - 2*t(j). What is the third derivative of g(w) wrt w?\nAnswer: -1992*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 84\/16)\/6?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + 1. Suppose 2*u - 4*q + 3*q - 6 = 0, 5*q = -4*u - 16. Suppose -6 = -3*x + 3*d, -5 + u = 2*d. Solve x = -y*a - 2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -52 divided by 8\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 + 4*f**2 + 5*f - 4. Let l be d(5). Let v = l + 3. Let n(k) = -6 + 5 - 3 + 5 + 3*k. Determine n(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/5)\/((-3008)\/(-47)).\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 123*o**2 - 56448*o - 4122. Calculate k(459).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssossosss. What is prob of picking 3 s?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 28*n**3 - 4*n**2 - 112*n - 395. Let o be f(-4). Is -1805 < o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4202?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 10.7\nAnswer: 1.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j - 1359 + 1605 = 0. What is the remainder when j is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.006192656722 rounded to three dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 53365 - 37193. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 177350, 177349, 177348?\nAnswer: 177347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 24\/4*(1 + (-1)\/2). Find the third derivative of 64*b**2 + 319*b**z - 155*b**3 - 155*b**3 wrt b.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 30, 316, 792, 1458, 2314, 3360, 4596?\nAnswer: 6022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 - 25 + 76 + d**3 - 25 - 22. What is m(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7168166 and 3704.\nAnswer: 926","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -18*v - 2. Let o(b) = -67 - 43*b + 16*b + 64. Let y(h) = -8*g(h) + 5*o(h). Calculate the lowest common multiple of y(1) and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96445203 to the power of 1\/2, to the nearest integer?\nAnswer: 9821","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oho when three letters picked without replacement from phpppoppphwoopppoww.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 252*f**6 - 809*f**3 + f**2 + 45*f - 138 wrt f.\nAnswer: 30240*f**3 - 4854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d = 3*d + 3*z + 13, -d - 2*z = -6. Suppose -1 = -d*q - 4*h - 37, 2*q = -h - 14. Is -3 not equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 618036.5 kilometers in meters?\nAnswer: 618036500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 1478*d**2 + 36*d + 5. What is the remainder when s(-3) is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 bigger than -1\/259287?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 379198 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/(-20) - 3\/(-5). Let p = -8 + 2. Let t(j) = j**3 + 7*j**2 + 4*j + 9. Let y be t(p). Solve -y + a = 5*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most -4\/1439?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1075.589ug in nanograms?\nAnswer: 1075589","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2665 (base 9) to base 3\nAnswer: -2202012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -108\/1472765 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = n - 8. Solve -3*r + 2*r = w + 8, 0 = w - 4*r - n for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + (9 - 8) + 2?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 109 + -11. Solve 49*h + 0 - q = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + 42305?\nAnswer: 42305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 133 - 128. Find the common denominator of -93\/2 and (-950)\/468 - ((-20)\/18)\/x.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/16 >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 80782439 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*3*(-576)\/(-43680)*91.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 380*a - 1371*a + 450*a + 412*a = 5547 for a.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -31486, -62968, -94450, -125932?\n\"Answer: -31482*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 19521066 and 270?\nAnswer: 878447970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 0.04, -0.059, 5, 8, -6.488.\nAnswer: -6.488, -1, -0.059, 0.04, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - -2. Suppose d = c*d. Suppose d = -5*t - 0*t + 395. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(1539) - 3*sqrt(1539)) + -2 + -6*(sqrt(1539) + -1)*-1.\nAnswer: -4 + 36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 3*q**2 + 11*q + 13. Let z be (-13)\/(-4 + 19\/5). Let y = z - 71. Does 11 divide p(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(11) + -5 - sqrt(11)) + -1*sqrt(11) + -3 + -5.\nAnswer: -14 - sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -5*q + 3944, 0 = -5*i - q + 572 + 4358. Differentiate -3*h + 1109 + 4*h**2 - i + 2*h**2 + 3*h with respect to h.\nAnswer: 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*v = 22*v. Let o(a) = 5*a - 17 - 7*a + v*a + 5*a. Calculate o(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3798 and 9711486?\nAnswer: 9711486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -449193644 by 4.\nAnswer: -112298411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/7 + 13854*n\/7 + 69220\/7.\nAnswer: 2*(n + 5)*(n + 6922)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*f = -77 + 457. What is the highest common divisor of 437 and f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - -3) + (-4 - 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 2*t + 2 = 0, 2*o + 3*t + 1 = 4*t. Suppose 2*b + d + 0 - 2 = o, -3*b + 4 = d. Solve 0 = b*h - 5*i + 20, -h = -4*h - i - 13 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 65039732, 65039731, 65039730, 65039729?\nAnswer: 65039728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -1\/3, 4, -20, -4\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 15 + 11 - 7*u**2 + 72*u**3.\nAnswer: 72*u**3 - 7*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -6*j**3 - 50*j**2 - 14*j - 111. Let v(c) = 4*c**3 + 38*c**2 + 10*c + 74. Give 5*r(b) + 7*v(b).\nAnswer: -2*b**3 + 16*b**2 - 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 - m**2 - 4*m - 5. Is t(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9\/265 - -319\/1590. Which is the nearest to 1\/3? (a) -2\/9 (b) h (c) 0.1 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6748?\nAnswer: 2, 7, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = -12*x + 24*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {j: 2, x: 4, a: 1, v: 1, t: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h - 2. Let g be s(4). Let z be 6\/3*g - 2. Suppose -9 - 3 = -z*p. Is 5 smaller than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000091723 to 6 decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 12603, 12729, 12937, 13227?\n\"Answer: 41*l**2 + 3*l + 12559","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 3:47 PM?\nAnswer: 5:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2022.109443 + -2022.1. What is h rounded to three dps?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 3*p - 2 - 7 = 0, 5*y = -2*p - 6 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1292113 or -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/4)\/((-13)\/(-8)). Let i = -686 + 4800\/7. What is the closest to s in 0.3, 3, i?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) -13\/9 (c) -50 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68 = q - 98 for q.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -220672.9 times -3.9?\nAnswer: 860624.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 81994039429 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16261413 and 54.\nAnswer: 292705434","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*f + 446 = 167*f - 309. Put f, -9, -34, 0 in descending order.\nAnswer: f, 0, -9, -34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((300\/125)\/(-4))\/((-31)\/5).\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 674426 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -19, -1, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d - 26. Let s = -50 - -47. Let h be k(s). Let b be (h - -3)*3\/(-12). Solve -b*g + 5 = -5*v, -5*g = 4*v - 3*g + 28 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74207 to the power of 1\/2, to the nearest integer?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -50259315485\/196 + 256425818. Let b = o + -739. Let d = -583\/980 + b. What is the third biggest value in d, 2\/7, -0.8?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((0\/(-8))\/(-7))\/(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (198\/77)\/((-15)\/70). Let z be (-5)\/10*-2*4\/w. Let m(f) = -f**2 + f + 43. Let o be m(0). Is o less than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of -2*j**4\/3 - 13*j**3\/6 + 8*j**2. Let g be n(-6). Let y = g - 40. Is 30 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 18746*b*k + 8895*k wrt b?\nAnswer: 18746*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -456 + 847 - 5*g - 551*g**4 - 2*g**2 - 390 as f*g + x*g**4 + o*g**2 + k*g**3 + v and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m, -4*q - m = 50 - 10. Let h(t) be the first derivative of t**2\/2 + 64*t - 7. Does 6 divide h(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 1. Solve -2*o**i + o - 4*o**2 - o - 2*o = 0 for o.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 5*o + 25. Give q(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5711239l to millilitres.\nAnswer: 571.1239","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3727878307 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 28 - 93. Calculate the smallest common multiple of 7 and ((-4)\/1 - (-114)\/30)*c.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -c + a, -a = 3*c + 2*a - 99. Let j = 106 - 303\/4. Let d = j - c. Is d greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-264)\/(-462)*(266\/(-356))\/(-19).\nAnswer: 2\/89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (-11 - (-36 + 5 - -5)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 3\/2, -0.5, 10.8, 1390, -0.1, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 3425*c - 10260*c + 2 + 3789*c + 3451*c.\nAnswer: 405*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(13) - sqrt(104)\/(2*sqrt(8))) + sqrt(65)\/(1*sqrt(5)*1).\nAnswer: 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8 + -1 - (15 + -4). Let j be (-10)\/(10\/s - 0). Solve -j*z + 2*x = -2*x - 28, x = -z - 1 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22 + 14. Let j(r) = 0*r**2 - 5*r**2 - 4*r**3 - 14*r - 11 + 8*r - 2*r**2 - 13*r. Is j(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 275.557 to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 189\/11 - (-23)\/(1771\/(-14)). Let h be 24\/(-96) + r\/4. Which is the nearest to h? (a) 4 (b) 1\/2 (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.183 and -34511.01.\nAnswer: -34510.827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63419?\nAnswer: 63419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 335556?\nAnswer: 2, 3, 13, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m**1*m))**(-4\/7) assuming m is positive.\nAnswer: m**(4\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*s + 167 = 17. What is the greatest common divisor of 80 and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.5865 rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the third derivative of 0*r**5 + 0*r**4 + 1\/10*r**6 + 0 + 14\/3*r**3 + 0*r + 25*r**2. What is the first derivative of s(a) wrt a?\nAnswer: 36*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 + h**2 - h + 2. Let j be g(0). Suppose -8*x + 264 = -j*x. Let c = 351 - x. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 976801 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, 21, -41, -4 in decreasing order.\nAnswer: 21, 2, -4, -5, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/(y\/(y\/(y**(2\/3)\/y))))**32\/((y\/(y\/(y\/y**(-9))))\/(y\/y**(1\/3)*y)))**(-19) assuming y is positive.\nAnswer: y**(-3781\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 830 = -5*d - 0*d. Let k = 178 + d. Solve z + 1 = 4*o, 0 = -6*o + 3*o + 5*z - k for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 PM and 8:49 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 5*g - 4, -2*g - 3 = -2*s + 5. Suppose 0 = -2*l + l + 3. Suppose -l*r = -s*r + 590. What is r rounded to the nearest ten?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a + 6. Let k be o(-6). Let d(p) = -p. Let x be d(k). Suppose 2*u - 5 - 7 = x. What is the remainder when 9 is divided by u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2717, -5429, -8141, -10853, -13565?\nAnswer: -16277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.08, -3, 0, -272 in ascending order.\nAnswer: -272, -3, 0, 0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -2 - (-1 + 0 - -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 2*m = 22. Let t(r) = r + 14. Suppose 2*k = -4 - 8. Calculate the remainder when m is divided by t(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/4990 and 53\/4990.\nAnswer: 4990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -862 - -2411. What is the hundreds digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/3931785 and -71\/15.\nAnswer: 3931785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c**4\/5 + 906*c**3\/5 + 13671*c**2\/5 - 16404*c\/5 - 29172\/5 = 0. What is c?\nAnswer: -286, -17, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 202 is divided by 62?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (39\/(-15) - -4)*(267 - 2). Let y = i + 149. What is the units digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 5 + 13 = -3*c, 4*c - 2 = h. Suppose c = 5*o - 5, 3*u - 1819 = 5*o + 2097. What is the tens digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 909067 and 122724045.\nAnswer: 122724045","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -5, 156.62 in ascending order.\nAnswer: -5, 3, 156.62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16899, 5, -0.4 in increasing order.\nAnswer: -16899, -0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9731?\nAnswer: 37, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-99684)\/(-33210) - 3)\/(6\/(-60)). Suppose 0 = b - 2 - 0. Let f be 3\/2 + b\/(-4). Which is bigger: k or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(2) - sqrt(72)\/sqrt(4))**2*-5)*4.\nAnswer: -180","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**2 - 10*o - 2. Determine f(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 5 (b) -35 (c) 2 (d) 0.753 (e) -2\/9 (f) 0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-24)\/144 - 75\/(-18). Solve -11*w - 64*w + 27*w + u*w**2 + 144 = 0 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 649?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 252 and 37557.\nAnswer: 1051596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - -12 - 3 - 8?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*l - 4330944 + 19473011 = 13*l. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -15900, -31736, -47572, -63408?\n\"Answer: -15836*s - 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*a**3 - 8*a**3 + 24*a - 24*a.\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - -6) + (0 + -5 - -2) - (60 + -60)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of z**5\/60 - z**4\/3 + 11*z**3\/6 - 2*z**2. Calculate the smallest common multiple of n(7) and 1\/4 + (-27)\/(-4).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5806*r**4 - 2*r**2 - 452407?\nAnswer: 23224*r**3 - 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 401646 (base 7) in base 5?\nAnswer: 4133044","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15*m**3 + 0*m**3 - 3*m**3 - 4*m**4.\nAnswer: -4*m**3*(m - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -111, -336, -923, -2046, -3879, -6596, -10371, -15378?\nAnswer: -21791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -2) + (4 - 12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11365943 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 63\/11 or 5?\nAnswer: 63\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.030795 hours in nanoseconds?\nAnswer: 10910862000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, x: 1, d: 2, u: 1}. Give prob of sequence id.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -1 - (-1728 - -1756 - (-3 + 1))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 10 - 3*y**4 - y + y**3 + 5 - 2*y**2 - 2 to the form w*y**2 + i*y**3 + m + j*y**4 + u*y and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 5748.569 years in months?\nAnswer: 68982.828","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -61\/30 or -1?\nAnswer: -61\/30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(300) + -2 + -1 - (sqrt(300) + 2 + sqrt(300) + -4))**2*-5.\nAnswer: -1505 - 100*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 5:10 PM?\nAnswer: 4:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -59755*y**6 - 12*y**2 - 5*y - 3.\nAnswer: -7170600*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 6:42 AM?\nAnswer: 11:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7266, -7264, -7262, -7260, -7258, -7256?\nAnswer: -7254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65 is divided by 55.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -3*u. Suppose 0 = -4*m + 5*m - 3*a + 3, 3*m + 2*a = 13. Let w(y) = 4*y + 4*y - m*y - 6*y. Determine w(z(k)).\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.239 - -1.289. Which is the fourth biggest value? (a) -14 (b) -0.5 (c) -4 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5726772 to the power of 1\/5, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -117*c**2 + 2*c + 3. Suppose -n + 1 = -3*y, n = 3*y - 2*y - 3. Let k be r(y). Let b = 90 - k. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (38\/114)\/(((-6)\/(-2))\/(-72)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -18) + (-1 - -5 - (-89 + 93))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 j, and 1 p when three letters picked without replacement from {j: 1, p: 4, s: 6, c: 6}.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0015168 to five dps.\nAnswer: -0.00152","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -8 and -144.\nAnswer: 1152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 17589511 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.331548 micrograms to tonnes.\nAnswer: 0.000000000000331548","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**3 + u**2 - 9*u - 7. Give k(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 67 divide 29136826?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 191\/6090 and -86\/10815.\nAnswer: 627270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -73 - 51. Suppose 2*g = 4*x - 480, -x + g = 4 - y. List the prime factors of x.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*h**2 - 112*h**2 - 61*h**2 - 63*h**2.\nAnswer: -303*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 2*c**3 + 15*c**2 - 16*c - 292. Give a(-10).\nAnswer: -632","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 12*c - 72 = -3*z, 5*z - 8 = c. Let k be 2475\/c - (-3)\/4. Calculate the greatest common factor of 23 and k.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 + 3*w**2 - w + 4. Let k be t(-3). Let u(f) = 2*f**2 + 5*f - 2. Is u(k) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3881 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 37 - 149\/4. Let i = 3 - 1. Let v = 0.02 - -0.18. What is the closest to j in v, -2\/9, i?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 26*d + 1. Let j(t) = -24*t + 11. Let p(l) = -47*l + 26. Let x(i) = -7*j(i) + 3*p(i). Calculate -3*n(z) + 2*x(z).\nAnswer: -24*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*s**3*v**3 + 1892124*s**2*v**3 - 26*v**3 - 61584 wrt s.\nAnswer: -6*s**2*v**3 + 3784248*s*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99560 = 28*q + 10*q. What are the prime factors of q?\nAnswer: 2, 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(30)\/(sqrt(18)\/sqrt(3)) + sqrt(5)*1 + -2)**2 + (-1 + (sqrt(225) - sqrt(25))\/sqrt(5))**2 + -1.\nAnswer: -12*sqrt(5) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(3\/11)*y)\/(y\/y**(9\/7)*y*y)*y**19\/y**(4\/5) assuming y is positive.\nAnswer: y**(6837\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2819*p**2 - 5618*p**2 + 2812*p**2 + 4.\nAnswer: 13*p**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -539996 or -539929?\nAnswer: -539996","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -13765, -13729, -13693, -13657, -13621, -13585?\n\"Answer: 36*x - 13801","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 330*8\/384*6\/(-15)?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1294973309?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 10:41 PM?\nAnswer: 11:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -267 + 277. Suppose 3808 = 4*r + v*r. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of -3*f**2\/2 - 56*f - 15. Let w be l(-21). Let j(o) = o - 14. Determine j(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -9*t - 40. Let d be j(-7). Calculate the highest common factor of d and 1081.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i**3 + 46*i**3 - 2*i**3.\nAnswer: 44*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1730063 to 3 dps.\nAnswer: -0.173","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1023203 + 11222133?\nAnswer: 12312002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*a**3 - 7563*a**2 - 243603*a - 90288 = 0.\nAnswer: -912, -33, -3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 75100 is divided by 4991.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89413836.\nAnswer: 2, 3, 797, 9349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 50733?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of -k**3\/3 + 8*k**2 - 27*k - 24. Let g be h(9). Let y = 84 - g. Is 7 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of g**7\/16380 - g**6\/4680 - g**5\/390 + 7*g**4\/24 - 3*g**2. Let d(o) be the second derivative of v(o). Factor d(w).\nAnswer: 2*(w - 2)*(w + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -28356, -112653, -252890, -449067, -701184, -1009241?\n\"Answer: -27970*g**2 - 387*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-51)\/2)\/(5\/((-120)\/(-9))). Let q = l + 79. Let t(s) = -21*s**2 + 13*s**2 + q*s**2. Let u(k) = -2*k. Determine u(t(o)).\nAnswer: -6*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-48)\/(-14))\/8*-7. What is the nearest to 6\/7 in 0.5, y, 1\/3, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 135\/900 - (-17)\/20?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 408 and 391.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 860?\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gi when two letters picked without replacement from ghigghg?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-315)\/(-27) - (-2)\/6. Suppose 5*q = 2*s - 8, 5*q + o = 2*s + s. Solve -a = -5*a + s*p, 0 = -5*a + 3*p + 10 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32*m**3 + 0*m**3 - 2*m**3 - m**3.\nAnswer: 29*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23 = -4*k - u, 267*k - 46 = 266*k - 6*u for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3299879*o + 2*o**3 + 565 + 3299877*o + 0*o**3 to the form f*o**2 + z*o + m + h*o**3 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -n**4 + 2*n**4 + 2*n**2 - 2852 - n + 2*n**3 + 2854 in the form u*n**2 + k*n**3 + y*n**4 + t + f*n and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2588 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j**2 - 5*j. Let l be y(-4). Solve 12 = -2*c + 3*u, 4*c - l*u = 10 - 30 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 275a8 (base 12) to base 4.\nAnswer: 31102100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -38*c**5 + 187*c wrt c.\nAnswer: -760*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3951 - 3951. Let p be -5 - (1 - (-4)\/(-2)). Let j be ((-15)\/(-6))\/(2\/p). Which is the nearest to u? (a) 0.05 (b) j (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -15\/11, -2\/43, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 34699?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.45 - -2.55. Which is the smallest value? (a) -3 (b) f (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3ab93 (base 12) to base 14\nAnswer: 2182b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 36493, 72975, 109413, 145783, 182061?\n\"Answer: -4*r**3 + 2*r**2 + 36504*r - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30457 (base 11) to base 15.\nAnswer: -d299","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 times -507497?\nAnswer: -5074970","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -936912 divided by 48?\nAnswer: -19519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*k + 70*k = 1662 + 48 for k.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 7:16 AM?\nAnswer: 2:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b - 10 = -11*b. Suppose 16 = 2*m + b*m. Solve -v - m*v = -25 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 2)*(m - 4*m + m)*(276*m**2 - 70*m**3 - 276*m**2)*(4 - 4 - 4 + (1 + 1 + 0)*(-2 - 1 + 4)).\nAnswer: -280*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10391\/16 - -649. Suppose -7 = -2*v - a, -5*a + 3 + 23 = v. Calculate the common denominator of v\/(-2)*15\/(-12) and p.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9459221 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**3 + 2*z + 1. Let b be v(-1). Let o = 2 + b. Suppose -5 = 4*i - 29. Solve -o*j + i*j = 12 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m**2 - 2*m**2 - 13*m**2)*(-3 + 3*m + 3).\nAnswer: -36*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 47.27 + -47. Let c = a + -0.409. Let b = c - -0.276. What is b rounded to two dps?\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -196 + 189. Let x(f) = 4 + 9*f + 7 + 3 + 7*f**2 - 6*f**2. Let z be x(p). Solve z = -3*k + 6 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from bbbbrr.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 107*m - 3. Let u be l(-1). Let a = u + 110. Solve a - 12\/7*d**3 - 2\/7*d - 8\/7*d**2 - 8\/7*d**4 - 2\/7*d**5 = 0 for d.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -44\/13833945 and -95\/1872.\nAnswer: 2877460560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -283*k**5 + 324*k?\nAnswer: -5660*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -235*i - 467. What is o(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -3*o + o + 0*o. Let u(s) = -10*s + 18. Let h(t) = -52*t + 96. Let x(l) = 3*h(l) - 16*u(l). Determine m(x(f)).\nAnswer: -8*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (1 + sqrt(325) + -1 - (sqrt(325) + 2 + -2*sqrt(325)))**2.\nAnswer: -40*sqrt(13) + 1305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 100004112 (base 5) to base 10.\nAnswer: 391157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 18023.81ug?\nAnswer: 18.02381","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 40 - 35 = 0. Let h = 28 + v. Is h a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 442\/51*(-8)\/16*3?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = y + 4 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 434868?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4 - -4)*1\/2. Suppose 5*l + 7 - 17 = s. Solve 4 = l*q - 0*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -389\/81 - -2515\/162. Let o = z - 59\/6. Let 2\/9 + 8\/9*p**3 + 4\/3*p**2 + 2\/9*p**4 + o*p = 0. Calculate p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v**3 - 6*v**2 + 216*v + 3*v**3 - 212*v + 6*v**2.\nAnswer: v**3 + 4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -244, -548, -910, -1330, -1808, -2344, -2938?\nAnswer: -3590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 37*h**2 - 2*h**3 - 37*h**2 + 2*h + h**2 - h**2 - h**3 + (0*h**2 + 2*h**2 + 0*h**2)*(-4*h + 2*h + 4*h) as s*h**2 + k*h + n*h**3 + t and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11440632 + 10?\nAnswer: 11440642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*o - 753 = 6. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 g when two letters picked without replacement from {g: 3, w: 2}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 3*f**2 - 2*f. Let y be w(-2). Suppose 0 = -5*n - 3*a + 141 - 9, 5*a = 20. Calculate the highest common factor of y and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 + 4*c - 4. Give r(8).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -h**3 + h**2 + h - 166. Calculate q(0).\nAnswer: -166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -445 - -443. Let a = -5.6 - -6. What is the closest to 1 in -0.2, a, t?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence abb when three letters picked without replacement from {a: 1, b: 3}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 - 8*m + 7. Let p be t(7). Let w be (p + (-6)\/(-9))*9. Suppose 0 = -3*v + 4*o + 60, -w*v - 4*o = -v - 132. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s. Let x be p(2). Let q(b) = -b**x + 31 + b**3 - b + b + b + 0*b**3. Is 26 a factor of q(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, s: 1, j: 3}. What is prob of picking 3 j?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**9*f)\/f**20 assuming f is positive.\nAnswer: f**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -694*d**2 + 1632*d**2 - 704*d**2.\nAnswer: 234*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-22))\/d*d**(-2\/29) assuming d is positive.\nAnswer: d**(-640\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1890922, 1890925, 1890928, 1890931?\nAnswer: 1890934","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 182021 - 51721 = 18*g - 68528. List the prime factors of g.\nAnswer: 2, 3, 7, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 3.20505243973 and -14.\nAnswer: -10.79494756027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 100738 and 2061514.\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*r**3 + 37*r**3 - 156*r**3.\nAnswer: -138*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 9223339 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -72 divided by -36\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of i*y**4*z - 5*i*y**3*z - i*y**2 + i*y + y**4 + 5*y**3 + y*z + 248*y wrt y?\nAnswer: 24*i*y*z - 30*i*z + 24*y + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 364 is divided by 298?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 PM and 8:29 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2072 - 1794. What is the remainder when s is divided by 40?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/233 or 8\/883?\nAnswer: 8\/883","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2717691 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -35*d**2 - 4. Let y(t) = -560*t**2 - 63. Let c(a) = -63*q(a) + 4*y(a). Let x(h) = 3*h. What is x(c(w))?\nAnswer: -105*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + 6. Let c be 12\/s*(9 - 0). Let z = c - 6. What are the prime factors of z?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -291390 at least as big as -291385?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 3*sqrt(1088) + -1)*5.\nAnswer: -30 + 120*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -r**6 + 648881*r**4 + 1393671*r**2 wrt r?\nAnswer: -120*r**3 + 15573144*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 31 + -36 + -3 + 6 + -9 + 51?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, 1\/3, 9.11179 in decreasing order.\nAnswer: 9.11179, 3, 2, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 67 + -63. Let s = 6 - -2. What is the smallest common multiple of s and j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 p when three letters picked without replacement from bpmppmmmbmppmmm?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 424*w + 18 + 24 - 42 to the form u*w + c and give u.\nAnswer: 424","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 2*t = -2*k - 6, 3*t + 12 = 0. Let d(z) = -12*z**3 - 2*z**2 - 3*z - 2. Determine d(k).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2048, -2\/3, -2\/11, 5, 1, -8\/5 in ascending order.\nAnswer: -8\/5, -2\/3, -2\/11, 1, 5, 2048","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 223470000 rounded to the nearest one million?\nAnswer: 223000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 59309790?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.333 + -0.023. Let n = z - 0.01. Sort n, -3, -1 in ascending order.\nAnswer: -3, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 132 + -126. Let k(m) = -m**3 + 5*m**2 + 8*m - 1. What is k(p)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 617 is divided by 145.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/3216753 and -131\/8578008.\nAnswer: 25734024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 217 = -219*a + 220*a, a + 8*w - 210 = 0. Which is bigger: a or 199?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + -1. Which is the nearest to -1? (a) -0.4 (b) 0.5 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*b + 35 = -7. Suppose -3*t = 5*d - 384, -5*d + t = -379 + b. Does 18 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 + 110000100000010010010?\nAnswer: 110000100000010001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7331?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -15572 (base 8) to base 2\nAnswer: -1101101111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30403 (base 6) to base 14.\nAnswer: -1683","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 167 and -0.795975798?\nAnswer: 167.795975798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of 0 + 0*a + 3*a**2 - 1\/12*a**4 + 1\/2*a**3. What is the tens digit of b(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50547\/4814*(-2)\/(-35)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -145*m**2 + 2*m - 170*m**2 + 78*m**2 + (27 - 34 + 23)*(4*m**2 + 0*m**2 - 6*m**2).\nAnswer: -269*m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 7*t - 3*t. Let y be (-2)\/(-3)*(-2 + -1). Is y != t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -5*b**3 + 9*b**2 - 3*b - 5. Let i(m) = -4*m**3 + 8*m**2 - 2*m - 4. Let t(n) = -6*i(n) + 5*j(n). Let o be t(-2). Put -2, o, 5 in descending order.\nAnswer: 5, o, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from {q: 4, e: 14}.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2332 + 2299. Which is the third smallest value? (a) 2 (b) m (c) 1\/10 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.82 (b) -4\/7 (c) 0.3 (d) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1024*v + 14 = -1038*v. Let u = -198 - -2578\/13. Is u smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.084 - -0.584. Let r = -5.4 + -0.4. Let y = r + 5.4. Which is the closest to 2\/15? (a) k (b) -2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5644, 8093, 10536, 12973, 15404, 17829?\nAnswer: 20248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l - 3. Let a be m(4). Let g(w) = 2*w**2 + w. Let j be g(a). Let i be ((-2)\/j + 1)*15. Let p(v) = -2*v + 6. Determine p(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1311, -5827, -13541, -24453, -38563, -55871, -76377?\nAnswer: -100081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 43 + -30. Let g = -16 + s. Let r be g + -3*(-84)\/45. Is 3 > r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 506 + -527.3. Let f = t + 23.3. Sort -2\/3, 47, f in increasing order.\nAnswer: -2\/3, f, 47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -4*n**2 + 4324*n - 122032 = 0?\nAnswer: 29, 1052","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 346 + 3\/(-24) + 34\/16?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence byb when three letters picked without replacement from bbbbbyybb?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4051 and 92.\nAnswer: 372692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iaia when four letters picked without replacement from {a: 15, i: 5}?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -8. Suppose k*a = -2*a + 20. Let v = 12 + -5. Solve v = -4*h - a for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -85*a**3*d*u - 13*a**3*d - 360*a**3*u + a*d*u - 22*a*u - 7*d + 7 with respect to d.\nAnswer: -85*a**3*u - 13*a**3 + a*u - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 62, 85, 108, 131, 154?\n\"Answer: 23*x + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*i + 6*i + 25. Let w be 5*(i - 3) - (3 - 2). Solve -u - w + 7 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 2*p**2 - 6*p + 14. Let x be y(-4). Let k = 195 + -192. Suppose -k*d + 629 = -x. What are the prime factors of d?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-6)*-3 - -3. Let s(f) = u - 4 - f - 5. Determine s(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.031445 rounded to 3 decimal places?\nAnswer: 1.031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3536664.9000007 - -3536664. Let a = m - -0.9. Round a to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 15*((-1)\/(-1))\/3. Suppose o + 127 = 2*t. Suppose 5*s - 54 - t = 0. What is the highest common factor of s and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 4*u = -22, 17*t = 27*t + 2*u + 2*u - 8 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 217 - -111. List the prime factors of z.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, n: 4, m: 3, d: 2}. Give prob of picking 1 n, 1 d, and 2 m.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 - 236*a**2.\nAnswer: -236*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4374 + 4577.3. Let p = c + -203.29997926. What is p rounded to 6 dps?\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -25*(72\/40 - 2). Solve 2*v - 14 = -t*h, -4*h - 3*v - 43 + 57 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 12:06 PM?\nAnswer: 6:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 234 and 7787?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -8. Suppose r*l - 8 - 8 = -4*g, -2*g - 37 = -3*l. Calculate the highest common factor of l and 63.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 5538?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -24283803, -24283806, -24283809, -24283812, -24283815?\n\"Answer: -3*y - 24283800","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - w + 346 = 4*b, 4*b = -4*w + 348. Let y = -76 + b. Solve 0 = -4*a + y + 7 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 8 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 537524 (base 8) in base 9?\nAnswer: 303877","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 243 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 1 + 5 - (2 - 3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-2)*-1 - (-77)\/110. Suppose 3*s = 3*u, 5*s - 5 = -5*u + 5. Let l = -3 + s. Which is the nearest to -2\/5? (a) v (b) 3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y**2 - y**2 + 7*y + 12 - 15. Calculate x(-4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/18)\/(((-4800)\/250)\/(-48)).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(4 + sqrt(153) + -2 + sqrt(153) + (1 + 0 + sqrt(153) - sqrt(153))))**2.\nAnswer: 1296*sqrt(17) + 22356","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 353.3686 rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 221028604.\nAnswer: 2, 29, 599, 3181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -220211110010210 + -10?\nAnswer: -220211110010220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 360 - 1806\/5. Which is the closest to 1? (a) g (b) -0.3 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -117 - -106. Let m(o) = -o**3 - 10*o**2 + 7*o - 9. Let c be m(w). Calculate the greatest common factor of c and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 x when two letters picked without replacement from kxeuu.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (8\/(-24))\/(2\/(-78)). Let s = 11 - l. Let i be (3 - s) + -3 + 1. Solve k = i*k - 8 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/(w*w\/(w\/(w\/w**(-4\/3))))*w)\/w**(2\/3))\/(w**(1\/7)*w*w**7) assuming w is positive.\nAnswer: w**(-64\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -62 + 68. Let s = k + -5.5. Let z = -19 + 19. Which is the second smallest value? (a) z (b) s (c) 6\/5 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1210161776*x - 355 - 1210161799*x + 355.\nAnswer: -23*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4545 is divided by 2260?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12820383?\nAnswer: 3, 19, 67, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 3:34 PM?\nAnswer: 8:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 + 22*o**2 + 20*o - 17. Let f be a(-21). Suppose 2 = s, 0*s = -f*x - 4*s + 428. What is the remainder when x is divided by 28?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -160 - -503.3\nAnswer: 343.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1 and 0.009457.\nAnswer: -0.990543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**2 + 1. Let w(t) = 5*t**2 + 5*t - 13. Let x(r) = 5*i(r) + w(r). List the prime factors of x(2).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-54)\/12)\/3 - 215\/(-130). What is the closest to -5 in -3\/4, v, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 12*k + 2. Give x(1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 + -9. Suppose -2*o - 2*y + 18 = 0, 15 = x*o - 3*o - 3*y. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1082\/9 + 8\/(-36). What is the remainder when (u\/(-32))\/(2\/(-16)) is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, d: 2, y: 1, g: 1, b: 1, c: 1}. What is prob of picking 1 b, 1 d, 1 g, and 1 y?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 167\/120 and 61\/248418.\nAnswer: 4968360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-176)\/(-11) - 30) + 15. Sort -3, -9, -0.0278, j in decreasing order.\nAnswer: j, -0.0278, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 - -14. Let t be a*(0 + (10 - 3)). What is the common denominator of 91\/2 and t*2*(-34)\/24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-560)\/(-14))\/(-10))\/(6\/(-12)*-248)?\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 12.4*44\nAnswer: 545.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -4*m - 49. Determine c(-12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = -4856 + 4862 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001475241 rounded to 7 dps?\nAnswer: -0.0000148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence okog when four letters picked without replacement from ogkkooooookoogooo?\nAnswer: 33\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-280)\/(-1960) - -54*(-4)\/(-42)*-1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 16\/6 + (-6)\/(-18). Suppose t - f = 12. Solve -3*y + 0 = -t for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -12 * 4142.\nAnswer: -49704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/8 of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.795021cm in millimeters?\nAnswer: 17.95021","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 865, 796, 709, 604, 481, 340?\nAnswer: 181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 875500 rounded to the nearest 1000?\nAnswer: 876000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 987907 and -8.\nAnswer: -7903256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**4 + 4720*g**3 - 1070225*g**2 - 20822490*g.\nAnswer: -5*g*(g - 481)**2*(g + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 u, and 1 m when three letters picked without replacement from pmuilluiiliiiipii.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3418, -3711, -4004, -4297?\nAnswer: -4590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 6:07 AM?\nAnswer: 6:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 14*x - 10. Let u(v) = 5*v - 3. Let l(z) = -3*k(z) + 8*u(z). Let i be l(-7). Solve -3*s + 8*s = -i for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**2 - 29391*w - 264762.\nAnswer: 3*(w - 9806)*(w + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbrffrffy. What is prob of sequence fyr?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-5 + (sqrt(242) - (sqrt(242) + 2*(sqrt(242) + -5))) + -5 + 3*sqrt(242))**2*-2.\nAnswer: -2904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/72406 and 67\/16.\nAnswer: 579248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 0 - 1653*c.\nAnswer: -1653*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 4*x. Let s be h(2). Let l(f) = f - 7. What is l(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(70) - (sqrt(70) + 1*sqrt(70))) - sqrt(70))\/(-1*sqrt(1008)))\/((-6*(sqrt(16) - sqrt(4)) + sqrt(4))\/(sqrt(32)*-1)).\nAnswer: 7*sqrt(5)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4232197?\nAnswer: 4232197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -10044 (base 6) in base 16?\nAnswer: -52c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4206 + -8141\nAnswer: -12347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10742*k = -10560*k - 8008 for k.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 divided by -5.\nAnswer: 31\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = i - 2*u + 12, 3*i + 3237*u + 39 = 3242*u for i.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 4*v - 2 - 5, 3*v - 14 = c. Suppose 8 = 5*m - v*m. Suppose -9 - 11 = -m*n. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 6, -b + 2*v = -6 + 1. Let p = b + -7. Let o = p + 11. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -70*s - 5. Let f(m) = -m. Let h(b) = c(b) - 4*f(b). Let t be h(3). Let p = 6701\/33 + t. Which is greater: p or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (14\/(-553))\/(((-7)\/2)\/(-7)). Let a = r + 411\/316. What is the closest to 2\/5 in a, -1\/6, -12\/7, -1\/4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 2 t when three letters picked without replacement from {v: 4, t: 6}?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 176692, 176691, 176690, 176689, 176688?\nAnswer: 176687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5626\/3783 + ((-378)\/91 + 3 - -1).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 - (2 - 91329\/22518). Let g = 1\/3753 - s. What is the common denominator of 9\/14 and g?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 1, h: 1, c: 3, r: 5}. Give prob of sequence cclc.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 228*g = 229*g + 4*v - 8841, -v + 1 = 0. List the prime factors of g.\nAnswer: 8837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -14*f*h**2 - 144*f - 2*h**3 - 88*h**2 - 2*h - 138 wrt h?\nAnswer: -28*f*h - 6*h**2 - 176*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 4*o + 19. Let u(d) = 9*d**2 + 2*d - 10. What is the remainder when u(o) is divided by 39?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -10 (b) -1\/7 (c) -0.427 (d) 47\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 4*b = -7812, -2*b - 536 - 2078 = -a. What is the thousands digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (20 - (-2230)\/2) + 8 is divided by 125.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.439140872 - 16.\nAnswer: -17.439140872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -7*g**2 + 65*g - 18. Let v be n(3). What is the highest common factor of v and 4142?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-34)\/(-119)*7\/9\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*k + 20 = -16*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 13061 + -4565?\nAnswer: 5163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/113615994 and 3\/1060?\nAnswer: 1136159940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tmcttktktcyttvvtvvmv. What is prob of picking 1 t and 1 v?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -32*j + 1. Let n(t) = 28*t + 1. Let b(f) = 7*n(f) + 6*s(f). Let w be b(-3). Let x be 94\/(-160) - 4\/(-10). Is x > w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -23 - (-4 + 5 + -1). Let l = q - 52. Let h = l - -75. Solve -5*x + 0*x = h for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -536 - -536.868. Let x = 1 - q. Round x to 2 dps.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 108*u + 2043. Determine m(-19).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -7*(-5421*(-8)\/(-84) - -2)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nina when four letters picked without replacement from {n: 5, x: 3, a: 6, i: 3}?\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j\/(j\/(j\/j**(5\/4)))*j)**49\/(j**(3\/4))**46 assuming j is positive.\nAnswer: j**(401\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 47299 and 1154748.\nAnswer: 1631","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of -s**7\/210 - 7*s**6\/40 - 79*s**3\/6 - 134*s**2. What is the first derivative of b(v) wrt v?\nAnswer: -4*v**3 - 63*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.8 - 5.9. Which is the second smallest value? (a) -0.4 (b) h (c) -2 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -4*u**2 - 17*u + 11. Calculate q(-6).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1\/5*(-40)\/32\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -3*l**3 + 7*l**2 + 7*l + 10. Let z(m) = m**3 - 2*m**2 - 2*m - 3. Calculate -2*i(j) - 7*z(j).\nAnswer: -j**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 1 + 1 - 1 - 4 + 7*j. Let n be i(4). Suppose u - 1 = -6, p = 4*u + n. What is the remainder when 23 is divided by p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2\/19*q**2 + 10\/19*q + 6\/19 - 2\/19*q**3 = 0 for q.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2.3, -2\/3, 4\/51, -93, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*m - 73*m - 74*m - 10*m + 223*m.\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -3 + a + 2*a - 2*a - 2. Let l be w(7). What are the prime factors of 3\/(6\/25)*l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.3 - -1.06. Let v = -0.3 - n. Let o = v + -0.24. Which is the smallest value? (a) 0.2 (b) o (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -2\/111 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 416436900 a multiple of 5830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 14199700?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -14120 (base 6) to base 16\nAnswer: -8a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -121074, -242206, -363338, -484470, -605602, -726734?\nAnswer: -847866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f + 0*f - 4*f + (-5 + 1 - 2)*(-5 + 5 - 3*f) + (0*f + 4*f + 0*f)*(3 + 0 - 1).\nAnswer: 24*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5166*d**4 + 2*d**3 + 7*d**2 - 162*d + 4.\nAnswer: -123984*d + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a kilogram in grams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5448, -5455, -5466, -5481, -5500, -5523?\nAnswer: -5550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 2)*(m + 2*m**2 - m) + 2*m**2 - 5*m + 4*m - 1 + 2*m.\nAnswer: 4*m**2 + m - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7.3 - -7.3052. Let q = o - 0.522. Let t = 0.56 + q. Round t to 3 decimal places.\nAnswer: 0.043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5 - 4 - (1 + -1). Let r be 4\/((2 + -1)\/i). List the prime factors of 8\/4*34\/r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -341278 smaller than -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*y - y - 2. Suppose 7 = 10*s - 3. Do s and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.73844 nanoseconds in milliseconds?\nAnswer: 0.00001473844","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 3. Suppose -w = -m*w. Suppose 0 = -5*n + 2*b + 10, n = -w*n - 5*b + 29. Solve -3*t + 6*f - 6 = n*f, -4*f = -t - 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1102*o**3 - 2212.\nAnswer: -3306*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 333683443.\nAnswer: 333683443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*h + 327*h + 482*h + 12 - 12.\nAnswer: 787*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8\/27 + -10\/27. Suppose 19*b = 16*b + 2*c - 14, -b + 1 = 5*c. What is the biggest value in b, 8, 0.1, m?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxvvxvxxxxxxxxxxxx. Give prob of sequence xxv.\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 146 and -8752.93?\nAnswer: -1277927.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -842 - -863. Suppose -20 = 3*v - 83. Calculate the highest common divisor of v and y.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the second derivative of n**4\/6 + 2*n + 10. Let d(q) = -189*q. Calculate d(p(z)).\nAnswer: -378*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 43500 rounded to the nearest 1000?\nAnswer: 44000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -2\/203297?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 8*z**3 - 349*z**2 + 3404*z - 176. Give p(29).\nAnswer: 143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-1))\/n)**(-1\/8)\/(n\/(n\/((n**(-4)\/n)\/n))*n*n**(1\/2)) assuming n is positive.\nAnswer: n**(37\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - 896\/98)*(-6)\/((-48)\/532)?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -4*i**2 + 84*i + 10. Let y be k(14). Suppose -27 = 393*l - y*l. What is the remainder when 102 is divided by l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, s: 1, d: 4, t: 2}. What is prob of picking 1 y and 1 t?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lrruuurrjjgujjjjj. Give prob of picking 3 r and 1 j.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 26*i**3 + 11. Let t(m) be the third derivative of 3*m**6\/40 + 2*m**3\/3 + 40*m**2 + 3*m. What is -6*q(l) + 17*t(l)?\nAnswer: -3*l**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is t in t**4\/7 + 2*t**3\/7 - 45*t**2\/7 + 34*t\/7 + 80\/7 = 0?\nAnswer: -8, -1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.11+292.8\nAnswer: 292.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 435*d**3 - 26 + 26 - 434*d**3.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6780507167 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 7*y + 414. Determine j(-25).\nAnswer: 239","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 2*j + 2*m = -358, -m = -2*j - 136. List the prime factors of 8397\/12 + 2 + j\/(-56).\nAnswer: 19, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -59, -6\/7, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19750 and 2750.\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 + 285*x + 17116. Let k be w(-199). What is n in -5*n + 8\/5 + 3\/5*n**k = 0?\nAnswer: 1\/3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -215, -218, -223, -230, -239, -250, -263?\nAnswer: -278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -94 - -96. Suppose 5*p + 5 = 3*v - 7, 12 = o*v - 2*p. Calculate the remainder when 142 is divided by v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 3828?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 240930144 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/5*671\/((-6777771)\/6660)?\nAnswer: 12\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of l**4 - 2. Let t be v(-1). Find the common denominator of 53\/6 and t\/(-48)*-82 - -2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/3770 and -39\/205435.\nAnswer: 154897990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4646 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1195 - -1197. Sort -2\/5, 0.2, 0.01, u in decreasing order.\nAnswer: u, 0.2, 0.01, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2938*m + 2935*m - 5917*m.\nAnswer: -44*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.5 (b) -6 (c) -1 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from efefffeeffffffefff. What is prob of picking 1 f and 1 e?\nAnswer: 65\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 2*v**2 - 15*v + 15*v to w + j*v**2 + a*v and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26581 + 26586. Determine j, given that -3\/4*j**3 + 3*j - c + 29\/4*j**2 = 0.\nAnswer: -1, 2\/3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 2 + (sqrt(110)\/((sqrt(220)\/sqrt(4))\/sqrt(11) + sqrt(5)))\/(((sqrt(55) + sqrt(165)\/sqrt(3))*-3)\/sqrt(5)).\nAnswer: -sqrt(2)\/12 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3*((-24)\/(-9) + 0). Let g(o) = -o**2 + 8*o - 6. Let y be g(t). Let c = -3 - y. Put -4, -5, c in descending order.\nAnswer: c, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2*o - 2)*(-6 + o - 3*o + o) in the form x + z*o + d*o**2 and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -629*p - 12 = -18*h - 631*p, -34 = 13*h - 9*h - 2*p for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 11, 2376.89, 3\/8 in ascending order.\nAnswer: 3\/8, 2, 11, 2376.89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 + 10*r + 23. Let b be x(-7). Suppose -5*n + 771 = 4*y + 80, -b*y + 341 = n. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 20*f**2 + 15*f - 6. Does 10 divide j(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 11 = -6. Suppose 10 = -j*l + 3*r, -3*l - 30 = -11*r + 14*r. Let f = -0.1 - 0. Which is the nearest to -1\/2? (a) l (b) 20 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 - 5 - ((-104 - -66) + 34)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3435865 to the power of 1\/3, to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(800)\/sqrt(10) - (-4 + sqrt(15)\/sqrt(3) + sqrt(5)))**2 + -1).\nAnswer: -32*sqrt(5) - 70","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -155*a = -188*a - 2376. Let m = 7 + -9. Is m at least as big as a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -106a7b (base 16) to base 8\nAnswer: -4065173","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -6*m**2 + 15*m - 1. Let x(o) = 3*o**2 - 8*o. Give 6*l(d) + 11*x(d).\nAnswer: -3*d**2 + 2*d - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + -6. Suppose -4*b + 3*l + 68 = 8*l, -l = -p. Let c = 45 + -42. Solve 4*a = -4*r - b, 10 = 8*r - c*r for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 - ((-31160)\/32 + (-4)\/16). Is 970 at most q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/13 in 3, 169, -0.3, 1, -1.38?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 280*i - 151. Suppose -3*y + 9 = -4*h + 6*h, -5*y = -h + 11. Is b(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 3*t**2 - 14*t + 17. Let z be i(3). Solve -5*a + z = -2*q, 3*q - 2 = 5*q - a for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 4*w - 3*q - 18, 0 = w - 3*q - 12. Suppose -n + 5 - 20 = d, w*d - 3*n = -27. Calculate the common denominator of 462\/(-153) - 2\/d - -1 and -61\/8.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*s - 3*s = 20 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6 - 5) + ((-6)\/3 - -19). What is the highest common factor of l and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5095 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 g(q) be the third derivative of -917*q**5\/60 - 985*q**3\/2 + 789*q**2. Differentiate g(d) wrt d.\nAnswer: -1834*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20000020220 (base 3) to base 11\nAnswer: 80961","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(208) + 1)**2.\nAnswer: 8*sqrt(13) + 204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002455 to six decimal places.\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/(-10)*-4)\/(11\/((-77)\/98)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (73*v - 30*v + 284*v - 56*v + 126*v)*(12 - 31 + 6)*(v**3 + 2*v**3 - 5*v**3).\nAnswer: 10322*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 68*x = -142 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 22 + 2 = 0. Solve y*t + 0*i - 3*i + 3 = 0, -2*i + 19 = 3*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-2) - ((-30)\/(-12) + -4). Differentiate -63 + 18 - 86*c**3 - c**g + 20*c**3 wrt c.\nAnswer: -198*c**2 - 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 222.8271m to nanometers.\nAnswer: 222827100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 + 18\/2)\/2. Suppose x*y = -4*n + n + 16, -20 = -5*y + 2*n. Suppose y*o + 5*v = 3*v + 514, -o = 5*v - 106. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w**2 - 8232*w - 951286 = 0. Calculate w.\nAnswer: -3997, -119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 PM and 1:07 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 516 and 49782?\nAnswer: 4281252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -54159, -54757, -55355, -55953, -56551, -57149?\nAnswer: -57747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 170.4 rounded to the nearest ten?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 216 and 108.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of -2*i**7\/63 - 119*i**6\/45 - 139*i**5\/45 + 47*i**4\/9 - 171*i**2. Let f(s) = 0. Calculate s.\nAnswer: -47, -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 + 9*m - 30. Give k(6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 372152 - 372152. Suppose 0 = -3*m - 3*l + 30, -l + 46 - 18 = 4*m. Let k be (-10)\/m - 3\/9. Is k equal to c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from ovaaoavoa?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of -3*d**8\/112 - 26*d**7\/35 - 103*d**6\/20 - 36*d**5\/5 + 297*d**4\/8 + 54*d**3 + 736*d**2. Let s(x) = 0. Calculate x.\nAnswer: -12, -3, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 20, 83, 192, 347, 548?\n\"Answer: 23*h**2 - 6*h + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ql when two letters picked without replacement from qqaazllqlllla?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56.98389 seconds to microseconds.\nAnswer: 56983890","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 432 - 1719\/4. Let j be (-2)\/4 + 22\/4. Let l = j - 3. Which is smaller: l or w?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -9 + 8*k - 2*k - 5*k + 16. What is c(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.037 + -0.027. Which is the nearest to r? (a) -6 (b) -5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48 (base 10) to base 2\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 7 = 5*f, -3*f + 3*h + 0 - 3 = 0. What is the third derivative of 26*d**5 + d**f + 20*d**5 - 16*d**2 - 6*d**5 wrt d?\nAnswer: 2400*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.19 + 125.81. Let z = d - 125. Which is the nearest to 10? (a) z (b) -0.5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 299263 and 115241.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.1, -1\/59, 0.2?\nAnswer: -1\/59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1)\/(l\/(l**(-9\/4)\/l)))**32*l**(-4\/7)\/(l**(-1)*l)*(l**(-1))**7 assuming l is positive.\nAnswer: l**(-1229\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -139*l. Let q(k) = 38053*k**2. What is q(g(j))?\nAnswer: 735222013*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 140?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 116 and 174?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 5*m - 96. Let x be u(20). Let q = -16 + 22. Suppose -5*o + 2*r = 0, r = -3*o - 4*r. Solve b - s - s + q = o, -b - 10 = -x*s for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 - 8*x - 1. Let i be n(-7). Let r be 2 - (i - 2)\/(-1*1). Let z be 5\/((-25)\/90)*(-2)\/r. Solve 0 = 2*k + 2*g - 3*g + 1, -4*k - z = 2*g for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*1*sqrt(52) + -2*sqrt(832))\/(sqrt(196)*-1 - (sqrt(400) + sqrt(4))).\nAnswer: sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*s**3 - 16*s**4 + 2*s - 11*s**2 + 20*s**3 - 50*s**3 + 19*s**3 to c*s**2 + a*s**3 + j*s + q*s**4 + h and give q.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(6\/11)*a\/(a*a**(-2\/17)\/a))\/(a**(-2\/5)\/(a**(2\/7)*a)))\/(a*a**(2\/7)*a**(1\/11)*a*a*a**(-2\/15)*a*a**3) assuming a is positive.\nAnswer: a**(-10924\/2805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/390 and -56\/441375?\nAnswer: 11475750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 34 by -56736.\nAnswer: -17\/28368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -163630, -327264, -490896, -654526, -818154, -981780?\n\"Answer: l**2 - 163637*l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10101 - 10100120?\nAnswer: -10020012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -57.4187 take away 141?\nAnswer: -198.4187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000648 to 6 dps.\nAnswer: 0.000065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*t - 4*t + t)*(10*t**3 - 1 - 5*t**3 - 7*t**3 + 2*t) in the form w*t**2 + l + s*t**3 + x*t**4 + r*t and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Are -5076 and -5077 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 23 = -2*a, -7 = h - 6*a + 3*a. Let l = 20 - -32. Let o = h - l. Is -46 at least as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0145165 to 4 decimal places.\nAnswer: -0.0145","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2497\/(-21) - (-8)\/14. Let r = v - -5425\/48. Calculate the common denominator of r and (61\/(-3))\/(8\/(-6)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1460345 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 - 6*n**2 - 5*n + 6. Let c be m(-5). Suppose 0*r + 10 = -2*r. Let d(u) = -u**2 - 5*u. Let q be d(r). Solve q - c = 3*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 2*p + 192 = 0, 3*p + 1 + 2 = 0. Suppose 7*z = 2370 + 2915. Suppose 5*q = u + z, 0 = -u - 0*u. What is the remainder when q is divided by t?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 12:32 AM?\nAnswer: 11:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 168428 - 5.\nAnswer: 168423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4020310 - 114?\nAnswer: -4020424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the third derivative of 0*x + 0 + 1\/6*x**3 + 7*x**2. Let c(a) = -3*a - 12. What is c(r) + 12*u(r)?\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -4 + 2 + (-477)\/(-162) and 670\/(-92) - -5 - -3*1?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/(-21))\/(2\/7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 20*i - 14. Let j be 84\/15 - 10\/(-25). Does 14 divide s(j)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 85 and -5190255402.\nAnswer: -5190255317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (13 - (5 + -2 + -4) - 4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -3*u + 140, 4*u - 87 = -p - 27. Let x = p - 19. Suppose b - 3*z = x, -4*b + 0*z + 261 = -z. Is 9 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 725150.2 times 1?\nAnswer: 725150.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 901759\/30030 - 2686\/91. What is the common denominator of -107\/330 and z?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 + f**2 + f - 1. Let z(j) = -j**2 + 10*j - 8. Let t be z(9). Let u be l(t). What is the second derivative of -2 - c**2 + u - 2*c wrt c?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -2*a + 3*a. Suppose 4*z - 188 = -4*c, 121 - 48 = a*z - 5*c. Is 22 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -7\/1156 (b) -0.3 (c) 5 (d) 52\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2390 = -17*d + 9122. What is the hundreds digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/(2460\/(-616) - -4). Suppose -4*c + 5*c - q = 34, 5*c = q + z. Let i = -28 + c. Solve 7*b - i*b = -5 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (17504\/(-56) - 2)*(-28)\/6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*d\/d**(-2\/9))\/d)\/d*d\/d**(-2\/7)*d*d)**(1\/5) assuming d is positive.\nAnswer: d**(221\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -93277119.\nAnswer: 186554238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - 4*i - 2*i)*(-3*i + 2*i + 0*i).\nAnswer: 5*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4.366939 millilitres?\nAnswer: 0.004366939","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.072 + -0.128. What is the nearest to -1 in 0.4, t, 0.5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -529*l + 1 + 262*l - 48706*l**2 + 269*l.\nAnswer: -48706*l**2 + 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times 8.734\nAnswer: 3.4936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7595404744039 - -18.\nAnswer: -7595404744021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 - -8. Suppose -3*k + 38 - 14 = 0. Suppose -i = -0*i - k. Solve b*v + 2 = -i for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 86991 divided by -292\nAnswer: -86991\/292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 73 * -981.\nAnswer: -71613","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -185*(18\/63)\/(30\/21)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 625550?\nAnswer: 2, 5, 12511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -25, -49, -71, -91, -109, -125?\n\"Answer: q**2 - 27*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 - 5*h + 2. Let u(n) = 12*n**2 - 66*n + 27. Let q(t) = -2*u(t) + 27*x(t). Factor q(z).\nAnswer: 3*z*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21*4\/(-28) - 15?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4791*a**5*x**3 + 8*a**4*x**3 + 43*a*x**3 + 4*a - 118*x**2 - 2*x wrt a.\nAnswer: 95820*a**3*x**3 + 96*a**2*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 344 and 6020.\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d**2. Let z(y) = -45*y + 1. What is z(j(f))?\nAnswer: 90*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/4, 246, -0.1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 20360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -138507, -276997, -415487, -553977, -692467, -830957?\n\"Answer: -138490*y - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22.49948*47.\nAnswer: 1057.47556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 589 + -574. Suppose -c*z + 30 = -9*z. Solve -19 = -z*t - 24 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 678023726?\nAnswer: 2, 9029, 37547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of -t**4\/8 - 2*t**2. Let c(i) = 55*i - 4. Let k(j) = -1359*j + 99. Let v(m) = -99*c(m) - 4*k(m). Calculate x(v(h)).\nAnswer: 27*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g + 57. Let d be h(-55). Find k, given that -4\/5*k + 8\/5*k**3 + 4\/5*k**d - 2\/5*k**4 - 4\/5*k**5 - 2\/5 = 0.\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from zzbzzzzbz?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/410 and -109\/20?\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the second derivative of -1 + 19\/2*m**2 + m - 19\/3*m**3. Differentiate q(j) wrt j.\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 4 = -x, -q + x + 45 = 0. Let t = 81 - q. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -864*x**2 + 864*x**2 + 74831*x**3 + 118856*x**3.\nAnswer: 193687*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = o + 3*k - 47, k + 219 = 5*o + 240 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 114336607?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes after 12:51 PM?\nAnswer: 1:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**7\/o*o*o*o*o**1*o)**(-26\/7) assuming o is positive.\nAnswer: o**(-286\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 5*i = -12, 0*x + 2*x - 16 = 3*i. Let o be (x - -4)\/((-3)\/2). Which is the smallest value? (a) o (b) 0.1 (c) -3.1 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.6, -55, 1\/4?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4*(-11)\/(-88))\/((-1)\/(-40)). Suppose 20*p - 15*p - i = 0. Solve -4*v + p = -0*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*i - 0. Let r(a) = -i + 3*a - 3*a - 3*a + 2*a. Suppose 0 = 3*o + 2*z + 416 - 397, -4*z = 3*o + 17. Determine r(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 + 16*t**2 - 27*t + 4. Let h be k(14). What is the highest common divisor of h and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13637*p**5 + 46*p**2 - 9*p + 3 wrt p.\nAnswer: 818220*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -61, 40, -3, 1, 0 in descending order.\nAnswer: 40, 1, 0, -3, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 + -6. What is the first derivative of -h**4 + 3*h**4 + 11 - 2 - 11*h**a wrt h?\nAnswer: -36*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + v + 5*y - 35 = 0, 0 = 5*y - 15. Let r(i) = 2*i - 9. Let d be r(0). Let s = d + v. Does 11 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*m**3 - 62*m**3 + 13*m**3)*(-4*m**2 + 2*m**2 + 0*m**2) - 4*m**5 + m**5 + m**5.\nAnswer: 106*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 140989236953 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.34106909 to four decimal places.\nAnswer: 1.3411","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + -23?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lmm when three letters picked without replacement from lmmllkkkmlnmkmkkmkmk.\nAnswer: 7\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*n = 27*n + 5072. List the prime factors of n.\nAnswer: 2, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*l = -3*l + 21*l - 294348. What are the prime factors of l?\nAnswer: 2, 3, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-4466)\/174*924\/242.\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 - 8*k - 4. Let p be m(-4). Let x be ((-1)\/(-3))\/(1\/p). Find the second derivative of 6*a - 5*a + 4*a + 39*a**x - 44*a**4 wrt a.\nAnswer: -60*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q*q*q*q**(6\/11)*q)\/q*q*q\/((q**(-1\/7)*q)\/q))\/(q*q**(1\/2))**(4\/11)*(q**(2\/21)\/q)\/(q*(q\/q**(-8))\/q*q*q)*q**(3\/7)*q*q**(-8) assuming q is positive.\nAnswer: q**(-34\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3501 + -3510 - (13 + (-1 - -1))\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 220171 is divided by 237.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 divided by 9?\nAnswer: 59\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1179539, 2359052, 3538561, 4718066, 5897567, 7077064, 8256557?\nAnswer: 9436046","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1498014?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bfibtbbl. What is prob of picking 1 l and 1 f?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 3 = 4*a. Let o = a - 0. Let r = -2 + 2. Solve 2*v + 3*l + 6 = -l, r = -o*l - 2 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 406*f**3*w + f**3 + 2*f**2*w - 2*f*w**4 + 295*f wrt w.\nAnswer: 406*f**3 + 2*f**2 - 8*f*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 143431?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 7*j**3 + 7 - 4*j**3 + 2*j + 3*j + 2*j**2. Let l(t) = t**3 + t + 1. Let y = -3 + 2. Determine y*g(d) + 5*l(d).\nAnswer: 2*d**3 - 2*d**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2815\/1866 - 55646959\/4665. Let n = -11937 - p. Calculate the common denominator of -45\/16 and n.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 - 13*a - 7. Let n be r(-12). Solve n - 3 = -k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.63 - 1.7. Let u = t + 4.07. Sort 2, u, 0.3 in descending order.\nAnswer: u, 2, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a milligram in micrograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/1732 and -13\/48052?\nAnswer: 20806516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6881554 is divided by 276?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + u + 8. Let q = -615 - -620. Suppose 0 = -0*r - 4*r - v + 32, 0 = u*r - q*v - 16. Calculate the remainder when 21 is divided by r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 8 = -4*w, 7*z + w + 9 = 3*z. Let m(g) = -2*g + 5. Let k(v) = 2*v - 6. What is z*k(j) - 3*m(j)?\nAnswer: 2*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {u: 3, r: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 186895250 a multiple of 232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**2 + 3*c**2 + 0*c**2 + 3*c**2 + 3*c**2 - 5*c**2 + (-2*c + 0 + 0)*(-c + 2 - 2) - 2*c**2 - 2*c**2 + 3*c**2 + 3055*c**2 + 1386*c**2 + 0 - 3 + 3.\nAnswer: 4445*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -297, 247, 1255, 2727, 4663, 7063, 9927?\n\"Answer: 232*c**2 - 152*c - 377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*c - 26*c - 8 = 0. What is the smallest value in 5, -3\/2, c?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/2, -2\/25, -2\/3, 3179, 2\/17, 0.041, -1?\nAnswer: 0.041","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the third derivative of -53*q**4\/24 + 2*q**3\/3 - q**2. Is o(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.99 minus -23.1770811?\nAnswer: 25.1670811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -4*l**3 + l. Suppose -19 - 5 = -4*k. Suppose 2*n = -0*n + k. Let c be (-18)\/n*2\/(-12). Calculate f(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 938000215 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = 7*m - 7 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 3:44 PM?\nAnswer: 8:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven eighths of a decade?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-16)\/3 + 6 + 8\/6. Let 2*g - 4 + p*g - 6*g + 0*g**2 + 2*g**2 = 0. Calculate g.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 218 - 215. Is 2 a factor of 1\/(3*a\/441) + -5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 3*x**3 + x**2. Let i be n(-1). Let r = i - -3. Let j be 0\/((-2)\/((-8)\/(-12))). Sort r, -1, j.\nAnswer: -1, j, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -3, 3, -3\/4, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -118192, -240300, -362408, -484516?\n\"Answer: -122108*n + 3916","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + j + 280, 0 = -w + 2*w + 2*j - 105. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 79545 divided by 5\nAnswer: 15909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(475) + -1 - sqrt(475))*-1 - sqrt(475)) + 3*((sqrt(475)*1 - sqrt(475)) + sqrt(475)) - (3*(0 + sqrt(475)) + 0))*-2 + 5)**2.\nAnswer: 60*sqrt(19) + 1909","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 + 1. Let p(d) = 16*d**2 - d + 5. Let b(v) = p(v) - 4*y(v). Let s(g) = 40*g**2 - 3*g + 2. Let w(l) = 5*b(l) - 2*s(l). Is 19 a factor of w(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 34\/187 + (4253\/(-22))\/(5\/(-60)). What is the greatest common factor of p and 348?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*u + 5 = -34*u. Suppose 2*s = -u*z + 41, 3*z = z - 2*s + 14. Solve 0 = q + 2*q - z for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 0.5 (b) -3 (c) -5 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18271792951 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 170496 and 5661?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 minutes after 12:12 AM?\nAnswer: 4:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 2*c**2 + 27*c - 54. What is the units digit of f(9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (86 - 131 + 513 + 937)*(4*b - b - 4*b + 0*b + 5*b - 2*b + (2*b - 2*b - b)*(-4 + 5 + 0)).\nAnswer: 1405*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 1, f: 2, g: 1, i: 5, s: 6}. What is prob of sequence isz?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1800*c**2 - 2339*c**2 - c + 1278 - 4791*c**2 - 2*c wrt c.\nAnswer: -10660","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (-8 - 0) - (7 - 13)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 3011114761 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 37 - -5c04?\nAnswer: 5c3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 68143 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 222 and 3034?\nAnswer: 9102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 3*f + 1 = 2*c, -23 = -5*c - f. Suppose -p = -c*p + 24. Let a = -23 + 41. What is the smallest common multiple of a and p?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 2*f**2 - 5*f + 1. Give c(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 + 71*z + 4. Determine l(8).\nAnswer: 636","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52157*p**3 - 17403*p**3 - 17406*p**3 - 17403*p**3.\nAnswer: -55*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cu when two letters picked without replacement from {r: 3, c: 5, u: 1, x: 3}.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (-2 - -8 - 4)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**3 - 9*i**2 - 2*i + 20. Let w be a(10). Let u be (0\/(-1))\/(0 - 1). Suppose 92 = l - y - y, u = l + 2*y - w. What is the tens digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 + 16. Let r = -14 + 18. Sort r, 0.3, o.\nAnswer: 0.3, r, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -66*w**2 - w + 5 + w**3 - 68*w**2 + 134*w**2 to u + r*w**3 + y*w**2 + s*w and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -181 = 26*d + 1 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -22*b + 70. Let g(w) = 16*w - 68. Determine 5*g(l) + 4*t(l).\nAnswer: -8*l - 60","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 240209?\nAnswer: 240209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 d when two letters picked without replacement from {n: 3, d: 1, v: 1, k: 1, b: 5, c: 1}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 178 and 9701.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 559340199?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 57. Let z = 50 + k. Factor -z*w + 2*w**2 - 8*w - 43 + 43.\nAnswer: 2*w*(w - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 386508233 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**16\/((((q\/((q*(q**(1\/2)*q)\/q*q)\/q)*q)\/q)\/q)\/q)*q**9\/q**(-11) assuming q is positive.\nAnswer: q**(77\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1022022 (base 3) in base 11?\nAnswer: 797","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 225 + -106. Suppose -b = 104 - l. Calculate the lowest common multiple of 11 and b.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 175608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 966?\nAnswer: 1932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 6\/18175 (b) -21 (c) 1\/5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -559\/4? (a) 1 (b) -1\/4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 2\/12031?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 10) in base 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 358.1 - 193.2. Let d = -153 + y. What is d rounded to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 674 a factor of 655276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/9420 and -71\/2660?\nAnswer: 1252860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/72*3*-2. Which is bigger: k or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 + f**2 + 48. What is the least common multiple of c(0) and 36?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 = -2*c - 5*b + 105, 2*c - 148 = -4*b. Suppose 0 = 2*v - l + 6*l - 86, -2*v - 2*l = -c. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2728.118 * -62\nAnswer: -169143.316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 4*c**2. Let u(b) be the first derivative of -27\/2*b**2 + 0*b + 34. Give a(u(f)).\nAnswer: 2916*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*96947487.\nAnswer: -387789948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 7961*c**3 - 5*c**2 + 3*c + 9. Let h be d(3). Suppose 0 = 44*p - h - 50972. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l**2 + 80*l - 4. Let v(p) = 13*p. What is -c(w) + 5*v(w)?\nAnswer: 2*w**2 - 15*w + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, -5, -10 in decreasing order.\nAnswer: 0, -4, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3328.81 times -2?\nAnswer: -6657.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1864, 3717, 5558, 7381, 9180, 10949?\n\"Answer: -b**3 + 1860*b + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 3 = -5. Let p be (h + 2)\/(3\/(-3)). Let s = -29\/220 + 5\/44. Is s > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.2, -2\/13, -0.07 in decreasing order.\nAnswer: 1.2, -0.07, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1664025 and 32947695.\nAnswer: 164738475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 3 = -0. Let w be (3 + -2)\/1 - -1. Suppose -135 = -w*t - a*t. Calculate the remainder when t is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -96 + (-88 - -53) - (-20 - -1)?\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1380 divided by 6?\nAnswer: -230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2 + 2. Let h(r) = -5*r**2 + 6. Let z(v) = -3*d(v) + h(v). Let j(y) = -1149*y. What is z(j(i))?\nAnswer: -2640402*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/(-2))\/(85\/(-94)). Let f be ((-1)\/(-3))\/(68\/72). Let j = f + r. Is j equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - -4. Let s = w + -11. What is the closest to -1 in -0.4, 0.3, s?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/10 of a milligram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -1091 (b) -2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n. Let k be f(-3). Let b(s) = s**2 + 3. Let g be b(k). Calculate the highest common divisor of g and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -140\/17, 1, -4, -7?\nAnswer: -140\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11 - 8 - 3*k**2 + 3 - 7 - k to h + j*k + u*k**2 and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/((-1)\/2) - -4. Put r, 3, 1\/2 in descending order.\nAnswer: 3, r, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*3*sqrt(4455))\/((sqrt(11) - sqrt(99)\/(sqrt(27)\/sqrt(3))) + (sqrt(11) - sqrt(99)\/sqrt(144))).\nAnswer: -180*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*r**3 - r**3 + 0*r**3)*(2*r - 2*r + r**2) + (r**2 - 3*r**2 + 5*r**4 - 13*r**4)*(r - 16*r + 3*r).\nAnswer: 97*r**5 + 24*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 4085 a factor of 838688098?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/(-12) - 105\/(-9). Let a(m) = -8*m - 3 - 5*m + b*m. What is the units digit of a(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0213 and -0.5.\nAnswer: -0.01065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -30 - (-22 - 7) - ((7 - 1) + -2). Which is the third smallest value? (a) 4.29 (b) f (c) 2 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:38 AM and 8:52 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 665 = 6*k. Suppose 3*r - 194 = -4*l, 3*r - 5*r + l = -k. What is the greatest common factor of 6 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 48943?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 364757 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/(-10))\/((-27)\/12).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**7*t**(-4)\/t assuming t is positive.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3\/2*966\/(-63). Let t = k - -21. Is 9 a factor of t*(4 - 17\/2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 2 + (2*(sqrt(180)*3 + sqrt(180)) - ((-4 + sqrt(180) + -4 - sqrt(180))**2 - sqrt(180))).\nAnswer: -61 + 54*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 - x**2 + 2*x + 2. Let h(i) = 6*i**2 + 2*i - 1. Let t be h(1). Suppose 3 - t = 4*o. Let n be z(o). Is -1\/15 at most as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of -w**8\/126 + 31*w**7\/315 + 2*w**6\/45 - 3*w**2\/2 - 11*w + 132. Let l(x) be the second derivative of o(x). Factor l(h).\nAnswer: -2*h**3*(h - 8)*(4*h + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 324 + -1300?\nAnswer: -532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*o**3 - 2*o**3 - 2*o**3 - 18 + 3 + 11*o**3 + 25 + (6*o**2 - 3*o**2 - 2*o**2)*(-4*o + 5*o + o) as u*o**2 + g*o**3 + f + q*o and give g.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -291 = -7*i - 67. Let y = 8 - 8. Solve 5*t + y*t - 4 = 4*o, -3*o - 5*t + i = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -327*s**3*x**3 + 2*s**3*x**2 + 1474*s**3*x + 64243*s**2 - 4*s*x**3 wrt s?\nAnswer: -1962*x**3 + 12*x**2 + 8844*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -414183 (base 9) to base 6\nAnswer: -5134033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 201407137 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -267 - -266.6. Suppose -10 = -2*t - 3*t. Suppose -t = 2*k - 10. Which is the second smallest value? (a) m (b) 5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*(-4 + 1)*1. Let i be (1 - (1 - 0))\/(-2). Solve i*q = -k*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 114\/22 + (-4)\/22. Suppose 0 = -y*s + 5 + 50. Suppose -r + 15 + s = 0. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2245100 to the nearest ten thousand.\nAnswer: -2250000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9935? (a) -3 (b) -9 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u**3 + 26*u**3 + 6*u**3 - 20*u**3 - 4*u**3.\nAnswer: 7*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -422 - 530*m**2 + 530*m**2 + 422 - 3*m**3 + 0*m**3 - m**3.\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 10499182 to the power of 1\/3, to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 36? (a) 1 (b) -2\/17 (c) -297\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 5*j + 25 = 0, -3*j + 15 = 3*s + 2*s. Suppose 0*m + 15*m = 2*m. Let 2\/11*b**5 + s*b + m*b**4 - 2\/11*b**3 + 0 + 0*b**2 = 0. Calculate b.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -216 take away -200549859?\nAnswer: 200549643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2631.\nAnswer: 3, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -92*g - 22 + 40*g + g**3 + 69*g + 88*g**2 - 106*g**2. Calculate z(17).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -67701*b**3*c*z**3 - b**3*c*z**2 - b**3*z**2 - 2*b**2*c*z**4 - b**2*z**2 - 1351*b*z wrt z?\nAnswer: -406206*b**3*c - 48*b**2*c*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 z when three letters picked without replacement from jjzjz.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 - 5*k - 3. Let t be f(-5). Let x be t\/6*(0 + -2). What is the greatest common factor of x and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -1\/51779?\nAnswer: -1\/51779","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (0 + -3*2\/12)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -5*q - 37, -3*q - 6 - 6 = l. Does 7 divide (l\/6)\/(1\/118)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -954 - -956. Calculate the common denominator of 2\/(-8) - (-32)\/(-10) and (p\/(-2) + 2)*(-3145)\/(-222).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 373328097?\nAnswer: 3, 47, 2647717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3 + 9*h**2 + 6*h.\nAnswer: 3*h*(h + 1)*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 168.0782ug in nanograms?\nAnswer: 168078.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 3) to base 11\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2132058, 4264061, 6396064, 8528067, 10660070?\n\"Answer: 2132003*p + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*g + 12*g + 28 = 0. Suppose -g*k = -8*r + 4*r + 14, 5*k + 3 = 2*r. Solve 0 = r*j + 3*v - 7, -2*j + 0 = v - 1 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 2 (b) -1\/2 (c) -1 (d) -0.05 (e) 5\/9 (f) 11\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.28 times -780957?\nAnswer: 218667.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1471942054?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 24*g**2 - 3*g + 5. Let b = 257 + -256. Let v be l(b). What is the highest common factor of 247 and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a year in months?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.0477129 and 611471.\nAnswer: 611470.9522871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 936*j = -1198*j + 4268 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 5*l - 2*d = 13, -2*l = d - 1. Is (-1)\/(l\/(-345)*1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1212022220202 (base 3) in base 10?\nAnswer: 990650","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2488 is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*b*q**2 + 1828*b*q + 12169695*b - 4*q**2 + q with respect to q.\nAnswer: -20*b*q + 1828*b - 8*q + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-35)*z*(z\/z**(-20)*z)\/z*z*z)\/(z*(z**30\/z)\/z*z*z**(-15\/4)) assuming z is positive.\nAnswer: z**(-149\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3672, -1, 43, 4, 2 in ascending order.\nAnswer: -1, 0, 2, 4, 43, 3672","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121 = -19*p + 88. Let z(h) = h**3 - 10*h**2 - 12*h - 13. Calculate z(p).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 511 + fa?\nAnswer: 60b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1299\/10 + 131. Let w = -1\/12252 - -47023\/698364. Let v = -16357\/3420 - w. What is the common denominator of v and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f - 8. Let i(t) = 2*t + 3. Let y(h) = -h - 1. Let x(w) = -6*i(w) - 11*y(w). Let s(k) = k + 4. Let d be s(-9). Give d*x(m) + 4*z(m).\nAnswer: m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 - q**2 + 53*q - 13. Calculate n(6).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 12:02 AM?\nAnswer: 10:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -123*m**4 - 5*m**2 + 3*m**2 + 3*m**2 + 124*m**4 + 4 in the form o*m**2 + z*m**4 + q + g*m + k*m**3 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 660*l - 181. Is f(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*v + 13*v + 14. Let x = v - -65. List the prime factors of x.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of 5*b**4\/4 + b**2 + 5*b - 2. Let l(k) = 11*k**3 + 5*k + 11. Suppose -34 = -8*x + 38. What is x*m(d) - 4*l(d)?\nAnswer: d**3 - 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 12213*z**2 + 9 - 41 + 19.\nAnswer: -12213*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.25 - 3.2. Let l = 0.17 - 0.02. Let z = k + l. Which is the closest to -1? (a) z (b) -0.5 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1286 - 62*f**3 - 1284 + 3*f**2 - f - 13*f**3 + 3*f**3 - 6*f**3 + 2*f**3 + (-2 + 2 + 2*f)*(-3*f**2 + 6*f**2 - 2*f**2) + 4*f**3 - 4*f**3 + 2*f**3.\nAnswer: -72*f**3 + 3*f**2 - f + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-21))**50*(x\/x**(1\/5))\/((x**(-1\/34)\/x)\/x) assuming x is positive.\nAnswer: x**(-178019\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*b + b + 3*b)*(22 + 3*b - 22 + (-b + 1 - 1)*(-5 + 4 - 1) + 3*b + 3*b + b).\nAnswer: -12*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + 1. Suppose u*k = k - 1. Let c be ((-34)\/k - -2) + -2. Let v(i) = 2*i**2 - 3*i. Let x(s) = 11*s**2 - 17*s. Calculate c*v(g) - 6*x(g).\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 1\/(-12)*8*1185\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 - 8*q - 6. Let g be j(-6). Let u(b) = 6*b - g*b - b. Let k(w) = -3*w**2. What is u(k(i))?\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 16, -1613 in ascending order.\nAnswer: -1613, -2, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -564 times 0.2?\nAnswer: -112.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9229 - 202957\/22. What is the common denominator of 13\/6 and l?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -9\/31 (b) -2 (c) 1\/4 (d) 66.4 (e) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2 = -a, 2*a - 4 + 0 = 5*h. Suppose 7*f - 21 + 7 = h. Solve -9 = f*l - 5*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4*(4 + (-164)\/16). Suppose 0 = -2*z - 8, 5*v - 8 + m = -3*z. Sort 4, -2, v.\nAnswer: -2, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -5*j. Let t(w) = 26*w + 20. Let q(d) = 2*d + 5. Let a(r) = -4*q(r) + t(r). Calculate a(s(u)).\nAnswer: -90*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35057 + -34741. Calculate the greatest common factor of 4 and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2525140\/51 or 49514?\nAnswer: 49514","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -732*q - 199. Let c be v(-9). Suppose 7*o - 828 = c. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1008 is divided by 64?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 - 2*a**2 + 4*a - 4. Let l be o(-4). Suppose -8*w + 4 = -l*w. Let i = 3\/725 - 7283\/7975. Is i less than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3238282157?\nAnswer: 11, 19, 157, 98689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8 + -25?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -179 - -179.3. Put -5, x, 2\/11, -2 in decreasing order.\nAnswer: x, 2\/11, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -35515134*p**3 - p**2 - 8687591 wrt p.\nAnswer: -213090804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 108499*a + 1301919. Give n(-12).\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(190)\/(sqrt(10) - sqrt(250)) - ((sqrt(19) + (sqrt(19) - (-3*sqrt(19) - sqrt(19)))*-1 - sqrt(19)) + sqrt(19))**2) + 2 + 4.\nAnswer: -298 - sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1070 and 4173.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-8)\/(-3)*6\/4 - -2. Find the second derivative of -27*c**3 + 11983*c**2 - 11983*c**2 + o*c wrt c.\nAnswer: -162*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h be 22 - (-1 + 0 + 5 - 6). Suppose -14*k = -12*k - h. What is the units digit of (8\/(-6))\/((-4)\/k)*22?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 y when three letters picked without replacement from {w: 1, i: 2, y: 1, b: 3, g: 8, l: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*g**2 + 23*g**2 - 13*g**2 - 86*g**2.\nAnswer: -54*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 1 = 1. Let x = 2 - 2. Sort x, o, -0.3.\nAnswer: o, -0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66358922 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 8*r - 20 = 0. Suppose r*z - 28 = 28. Is 9 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i + 135 = 3*i. Let o be 17\/i - (-6)\/(-27). Which is smaller: o or 0?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-4)*-2*(-1)\/(-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 22217921?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3*6*8\/(-36). Let q = 28 + k. Suppose -5*z + 2*n = -100, 13 = -2*z + 5*n + q. Calculate the greatest common divisor of 242 and z.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101001000010001111111 + -101?\nAnswer: -10101001000010010000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.3 and 1.2273?\nAnswer: 0.9273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*i**3*l**2 - 5*i**3*l + i**3 - 11*i**2*l - 15*i*l + 21828*l**2 + 2*l wrt l?\nAnswer: 20*i**3 + 43656","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -5.512\nAnswer: -5.512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 - 9*d**2 + 6*d + 5. Let o be a(9). Suppose -o = -2*f + 3*f. Let z = 112 + f. What are the prime factors of z?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -28*o**3 + 25*o + 19. Let z(j) = 9*j**3 - 7*j - 6. Let i(y) = -2*d(y) - 7*z(y). Let r(u) = -8*u**3 - u + 3. Calculate 3*i(v) - 4*r(v).\nAnswer: 11*v**3 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*x**2 + 2*x**2 + 7*x**2.\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = 2*r, 3*r + r - 4*o = 8 - 32 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 16 = -2*j. Let i = -1 - -1. Suppose 7*f - 3*f + j = i. Put 1\/2, 0, f in decreasing order.\nAnswer: 1\/2, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 583079?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -672 minus -0.72344452338?\nAnswer: -671.27655547662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - 0 - -16 - 5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2376\/(-4455)*15\/36?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 67*h - 3834. Determine z(56).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 s, and 2 u when four letters picked without replacement from ussuduqususqlsuuu?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -155 + 144 = 11*c. Let u(a) = 10866*a**2 + 4*a + 5. Is u(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 892\/13 less than or equal to 70?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add 109 and 193563005467.\nAnswer: 193563005576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -4*x - 4. Let q be a(3). Calculate the remainder when 61 is divided by 0*3\/9 - q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/18 + 17\/6. Suppose -w*g = -11*g + 1144. Does 28 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 11886566 = -44671246. Let p = -22856170 - n. Round p to the nearest one hundred thousand.\nAnswer: -14700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 343 is divided by 89?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 14*l - 4. Let s be a(5). Suppose 0*c - 3*c = -s. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9593.06 - -9593. Sort o, 0.029, -1\/8 in ascending order.\nAnswer: -1\/8, o, 0.029","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*n + 17 + 13. Suppose 4*y + 10 = -4*b + 2, -b = -y + n. Is (-1 + 734)*(y - -1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 - 4*z**2 + 2*z - 3. Let j be s(3). Let u be (3\/j)\/(5\/(-10)). Solve 0*n + u = -n - 2*o, 5*n - 9 = -3*o for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(495) - sqrt(495))\/(4*sqrt(180)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1028201 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/(-28))\/(2\/4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 30 + -20. Let b = y - 7. Let m = -21 - -25. What is the closest to 0 in b, 1\/4, m?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 w when two letters picked without replacement from {k: 2, r: 1, o: 1, l: 7, w: 6}?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/8, -0.01, -1\/3 in descending order.\nAnswer: -0.01, -1\/3, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3624 rounded to two dps?\nAnswer: 0.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -22 * 0.7.\nAnswer: -15.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 4*c**2 - 6*c - 2198. Determine v(-28).\nAnswer: 1106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 21*l**3 + 14*l**2 - 16*l + 3. Give v(1).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1.1033 + -576.3450646\nAnswer: -577.4483646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 349887 * 0.07\nAnswer: 24492.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -151\/10 - -88\/5. Let v(i) be the first derivative of -i + 5 + k*i**2. Give v(1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 11, j: 3}. What is prob of picking 2 j?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 794488*l*t**3 - 944957*t**3 wrt l?\nAnswer: 794488*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = 9 + 3, 4*h - 28 = -4*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 1875 = -5*s, 439 + 8906 = 5*q + 5*s. What is the highest common factor of 22 and q?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uzuuuukmkluuu. Give prob of picking 2 u and 1 l.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(192) + 1 + (-4*sqrt(12))**2.\nAnswer: 8*sqrt(3) + 193","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -125 or -12?\nAnswer: -125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 6*y - 7 + y**3 + 5*y**2 + 15 + 6. Is o(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7741597 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**2 - 35*i - 204. Calculate u(-28).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 22, 28, 34, 40?\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/7*n**2 + 14\/3*n - 68\/21.\nAnswer: 2*(n + 17)*(3*n - 2)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -10) + -3 + 3 + -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -14*w**2 - 34587*w + 1161260?\nAnswer: -28*w - 34587","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (32\/(-18))\/((-876)\/657)*12\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 a when three letters picked without replacement from paw?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26.3 + -26.2999946. Round m to five decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*y**4 + 7 + 638*y**3 + 660*y**3 - 2 - y - 1327*y**3 + y**2 to the form z + g*y**2 + p*y**4 + f*y**3 + u*y and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 20704164 divided by 78\nAnswer: 265438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10.484 - 0.016. Let x = m - -11. Sort x, -3, -0.2 in ascending order.\nAnswer: -3, -0.2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48616182 is divided by 39?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = -h + 42, -21*h + 5*m = -17*h + 87 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/27 - 9759\/189. Let s = -352\/7 - p. What is the common denominator of s and 19\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -754 - -753. What is the fourth smallest value in i, -0.08, -5\/2, -0.3?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 374*q + 1. What are the prime factors of j(1)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 224 = 229. Let q = 2 - 4. Let c be 2*(2 - (3 + q)). Put 0, s, c in increasing order.\nAnswer: s, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 22 and 546?\nAnswer: 6006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(((-13)\/(-39))\/(5\/(-3)))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 64727731 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*v - 104*r = -9*v + 2*v - 102*r + 6, 16 = -6*v - 2*r for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 + q - 2100. Let t be b(0). Round t to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12373 divided by -50\nAnswer: -12373\/50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*g + 530 - 166 = 0 for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002552568 rounded to 5 dps?\nAnswer: 0.00026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - b + 56998 = 0, 0*g - 18990 = g - 5*b. What is g rounded to the nearest one thousand?\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 83 - 26. Suppose -54*s + g*s - 18 = 0. What is the greatest common divisor of s and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9573 and 531.\nAnswer: 1694421","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 79\/3, 3, -4, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, e: 1, d: 2, k: 4, l: 7, g: 1}. What is prob of sequence dd?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 361334 - 361326 - 2*p + 13*p.\nAnswer: 11*p + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p - 18. Let o be h(14). Is (-85)\/(-2)*(-8 + o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 107327 and 16853?\nAnswer: 887","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p - 3. Let h be l(7). Suppose h*s = -2*s + 12. Calculate the remainder when 3 is divided by s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 + (3 - 3) - 11. Let y be 7\/2 + (-4)\/a. Suppose 6*h - y*h = 2. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 2*v - 3*b, 4*b = -3*v + 8*v - 6 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 41.6 - 42.4. Let g = 1.6 - -0.6. Let v = g - w. Sort 1, 5, v in descending order.\nAnswer: 5, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1666460?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 213983 to the power of 1\/2, to the nearest integer?\nAnswer: 463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 388365913 to the nearest integer?\nAnswer: 19707","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v + 1. Let j = -22 + 15. Let n(z) = 3*z + 1. Let c(d) = j*f(d) + 6*n(d). Let o(s) = -s + 7. Let r be o(5). Determine c(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5442 + 5?\nAnswer: 5450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30)\/12*1*6\/(-5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -2. Let j(v) = -5*v**2 - 2*v + 5. Let r(d) = 2*d**2 - 3*d. Let f(g) = 8*g**2 - 14*g + 1. Let y(z) = -4*f(z) + 18*r(z). What is c*y(w) - 2*j(w)?\nAnswer: -2*w**2 - 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2*z**3 - 2*z**2 - 2. Let m(c) = 6*c**3 + 9*c**2 - 15. Determine m(r) + 4*q(r).\nAnswer: -2*r**3 + r**2 - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25498 is divided by 34.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g - 20 = -4*g. Let n = -1 - g. Suppose 4*a = -n*k + 40, 2*k - a + 4*a - 25 = 0. What is the units digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (-14 + -2 + 10 + -1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/50 + 14\/(-5). Let q = g + 1. Which is greater: q or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2433, 2621, 2949, 3429, 4073?\nAnswer: 4893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 34779 = -2897*u - 11595, 5*p = -4*u + 12 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-31)\/(-2) - 10\/20. Let h be (-15)\/6*(-6)\/5. Calculate the greatest common factor of h and c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of l**6\/120 - l**5\/15 - l**4\/12 - 2*l**3\/3 + 4*l**2. Let q be z(4). Is 5 a factor of (-1 - 1)*78\/q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 602 + -9032\/15. Sort -151, p, -3 in descending order.\nAnswer: p, -3, -151","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 13) to base 3\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = 3*s - 8*s. Suppose -1 + 4 = -3*h, -s*r + 3*h + 28 = 0. Solve -r*t - 3*p = -5, 5*t - 2*p = -7*p + 5 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3830366 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 18\/45 + 38\/5. Let m = -7 + f. Is (1 + 14 - 0)\/m a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 403940?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7568\/56535 - 2\/3769. What is the closest to -2\/7 in w, -279, -5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7925 (base 10) in base 14?\nAnswer: 2c61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 - 37 + 8 - 811*j**2 + 9.\nAnswer: -811*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 3*p - 12, 2*t + 2*p = 6*t - 16. Suppose -4*u + 5*u = t*u. Is 6*20 + u - 1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99) + sqrt(99) + 0)**2 - (-2*sqrt(891))**2.\nAnswer: -3168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 34417902.5.\nAnswer: 137671610","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.86 take away -9.325?\nAnswer: 2.465","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 9:46 AM?\nAnswer: 9:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5458?\nAnswer: 2, 2729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 79373146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 63 - 51 = -m, 0 = 14*m - 5*w + 403 for m.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -1 + sqrt(8) + -4)**2 + 3*((sqrt(128)\/sqrt(4) - sqrt(32)) + -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15182712 is divided by 15182674?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 7*v - 13*v. Is (-2)\/(v*(-1)\/(-4227)*3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 315*j**3 + j**2 - j. Let v be z(1). Suppose -400 = -5*y + v. Suppose -y = -3*t - 53. Calculate the remainder when t is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -7536.\nAnswer: 1\/1884","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 + 2806779\/24 - (-7)\/(-56). Suppose -t - 3*r = -29254, 10*t = 14*t - 2*r - j. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -360, -1031, -2114, -3609, -5516, -7835, -10566?\n\"Answer: -206*c**2 - 53*c - 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1530612367 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - -2 - (-6 - (1 + -5)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 7911.1 to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q**2. Let m(v) be the third derivative of 7*v**5\/30 - 23*v**2. Determine l(m(n)).\nAnswer: -392*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 - -12. Sort -5, -3, w in descending order.\nAnswer: -3, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 + 1887*y + 4. Let d(j) = -j. Give d(q(m)).\nAnswer: -m**2 - 1887*m - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 234937653?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w + 9. Let d be p(-7). Let f(z) be the first derivative of 2*z + 2\/3*z**3 - 2 + d*z**2. Factor f(c).\nAnswer: 2*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 - 13*n**2 - 19*n. Determine y(-11).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**2 + 155*o - 290.\nAnswer: -5*(o - 29)*(o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -274 divided by -5.\nAnswer: 274\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -372 + 373. Which is the closest to h? (a) -5\/53 (b) -0.4 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 153*l = -29*l + 2002 for l.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as -140?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 179*y - 152*y - 27*y + 6*y**2.\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18110?\nAnswer: 2, 5, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = -4*r - 28*k + 23*k, 0 = 4*r - 3*k + 68 for r.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 46 and 115?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.8302 and 0.17.\nAnswer: -0.141134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 11711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1216 is divided by 83.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 22 and 42878?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 8, x: 1, v: 6, y: 4, a: 1}. What is prob of picking 1 v and 1 a?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -184592, -369193, -553794?\n\"Answer: -184601*g + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v**2 + 6*v - 1. Let f(h) = 6*h**2 + 17*h - 3. Let a be (9 - 18) + 4 + -1. Calculate a*f(q) + 17*d(q).\nAnswer: -2*q**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = 3*p + 8, 96*f - 97*f + 5*p = -12 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 503.7169 litres in millilitres?\nAnswer: 503716.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 121101242 (base 6) to base 5\nAnswer: 1041403414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 22228 + -88357\/4. Let v = u - 138. Let y = -13 - -11. What is the second smallest value in y, -5, v?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w**3\/11 - 16580*w**2 + 375784486*w + 100366009392 = 0.\nAnswer: -264, 45727","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -2. Let g be 14\/(-77) + (-3)\/(66\/(-14524)). Let b = g + -657. Solve l*d + d = b for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kk when two letters picked without replacement from {k: 5, p: 3}.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 10 - 6 + 0*d - d. Let c(a) = -4*a + 21. What is -2*c(o) + 11*s(o)?\nAnswer: -3*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 3502260, 7004521, 10506786, 14009055, 17511328, 21013605, 24515886?\n\"Answer: 2*b**2 + 3502255*b + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -3.451 and -3.\nAnswer: 10.353","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4964*p**3 + p - 103.\nAnswer: -29784*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + p + 7 = 4*z, 0 = -3*z - 3*p + 15. Suppose 0*q + 5*k = z*q - 307, 2*k - 140 = -q. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -215764 = 3*k - f - 1121931, 5*f - 1208248 = -4*k. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0*4\/12)\/((-42 - -13)\/29). Factor 9\/4*i**3 - 3*i + w + 0*i**2 + 3\/4*i**4.\nAnswer: 3*i*(i - 1)*(i + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/6*5*3. Suppose -4*m - 7030 = -2*x, 0 = k*m + 4 - 19. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -463 + 11123\/24. Let f = -85\/12 + s. What is the common denominator of 65\/9 and f?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(216)*1)\/sqrt(9) + sqrt(24))*-3)\/((sqrt(432) + sqrt(432) + 1*sqrt(432) + sqrt(432))*1).\nAnswer: -sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2178 and 5945819.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3320 + 3304 - (0 - (74 - 1)).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -4*h + 4*t - 8*t, h + 4*t - 13 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-6\/5)*h**(-5\/8)*h*h*h\/(h*(h*h**(-13)\/h)\/h)*h*h\/(h*h**(-13)) assuming h is positive.\nAnswer: h**(1127\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of w**4\/8 + w**3\/3 - w**2. Let k(y) = 3*y**2 - 9*y + 7. Let s be k(3). List the prime factors of u(s).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -137*f**2*x + 2*f*x - 6*f - x wrt f.\nAnswer: -274*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/8*-6*(480\/24)\/(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 126\/72*(-5)\/(-35). Factor -a*k - 1\/4*k**2 + 1\/2.\nAnswer: -(k - 1)*(k + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 30489273?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 22 divided by 24535\nAnswer: 22\/24535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-5 - 49) + -32 + -12\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 - 3. Suppose -3*u + z*u - 3*j - 11 = 0, 4*j + 10 = -u. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.044 + -7.5.\nAnswer: -7.456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from {j: 5, p: 5, k: 4}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/31069472 and 38\/639387?\nAnswer: 838875744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 2*i - 4*i - 58, 5*k + i - 115 = 0. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) 3 (b) -0.1 (c) -5 (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 45*z + 115. Let n(x) = -2*x**2. Determine n(r(s)).\nAnswer: -4050*s**2 - 20700*s - 26450","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38264 is divided by 1417.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 17217*u + 241059. Determine f(-14).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -16\/7, 25, 5\/4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*v**2 - 77*v**2 + 153*v**2.\nAnswer: 4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -59 + 52. What is the nearest to -1 in -0.5, q, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -14. Let d = 9 - i. Solve -1 = 2*v + d for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 4411*u + 16. Let t be i(-22). Let f = t + -2152974. What is f rounded to the nearest 100000?\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 - 5*y**2 + 3*y - 7. Let t be p(5). What is the units digit of 106\/t - (-7)\/(-28)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*r - 18*r = -17*r + 26 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t + 5553 = -1375. Suppose -5*l = -3*a - t, -3*l + 55 = -2*a - 464. What is the remainder when l is divided by 45?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of 13*v**5\/5 + 37*v**4\/4 + 20*v**3\/3 - 2*v**2 - 113. Factor w(q).\nAnswer: q*(q + 1)*(q + 2)*(13*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 25*n**3 - 13*n**3 - 4*n**2 - 2*n - 15*n**3 + 0 + 1. Let z be (4 - 8)*(-2)\/(-4). What is the lowest common multiple of 8 and a(z)?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/136 and 79\/8?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 267\/1 - (-6 + -4 + 5) is divided by 20?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-114 - 78 - 149)*(-7*q + q - q).\nAnswer: 2387*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 1\/8, -4, -8, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -2*q + 40, 2*h + 2*q - 2 = 4*q. Suppose 2*b = b + 16. What is the least common multiple of h and b?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 1:15 PM?\nAnswer: 9:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -189 + 385. What is the highest common factor of g and 56?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.5 + 0. Let j = -0.6 - g. What is the closest to -2 in j, -2\/3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 - -2)\/(-17 - -16). Is (-1120)\/k + (-1 - (7 + -5)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 125988 or -2\/23?\nAnswer: 125988","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -31 - -36. Suppose -3*c - u = -566, 4*u = -2*c + g*c - 556. List the prime factors of c.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 2\/15, -56?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*p + 687 = -2553. Let o = 1353 - p. List the prime factors of o.\nAnswer: 3, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -342 times 4?\nAnswer: -1368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*n**4 + 40388*n**3 - 741505 with respect to n.\nAnswer: 8*n**3 + 121164*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/36? (a) 21 (b) -0.07 (c) -1.58\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1276 and 2581.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 m when two letters picked without replacement from mgmgummomuuvugu?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h. Let q(p) = 4. Let m = 6 + 0. Suppose -2*w - m = 4. Let i(d) = d - 5. Let s(r) = w*q(r) - 4*i(r). What is g(s(v))?\nAnswer: 4*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -111.2 (b) 1 (c) 2\/15 (d) -1 (e) -3 (f) 15 (g) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 1 + 1)*(-2 + 1 + 4)*(-403*k - 219*k + 219*k) as l + j*k and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 95270*b**2 - 47555*b - 40 = 0.\nAnswer: -8\/9527, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/6)\/((-68)\/153*(-24)\/128)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 2*b + 17. Let z be j(-7). Let t be z\/1*(-45)\/(-27). Solve 0 = 4*k - t*h - 10, 4*h = k + 2*k - 7 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l**3 - 2*l**2 - 2*l + 2. Let o be r(2). Find the third derivative of -4*p**3 - 5*p**2 + 5*p**3 + o*p**3 + p**2 wrt p.\nAnswer: 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + 3*t - 109, 5*t = -f + 10 + 25. Suppose -f + 24 = -g. List the prime factors of (6\/(-6))\/(g\/16).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002299176055 to 5 decimal places.\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -8*q**2 + 124*q - 27. Let p(a) = a**2 + a + 9. Determine 2*o(x) + 6*p(x).\nAnswer: -10*x**2 + 254*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 39 = -5*a, -5*u - 5*a = -39 - 11. What is the second derivative of 5*c**5 + 61*c - 21*c**5 - u*c wrt c?\nAnswer: -320*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 89*-21.\nAnswer: -1869","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of f**3*j**2*u - 2*f**3*j**2 + f**2*j + f*j - 546834*j**3*u + 2*j**3 + 3654*j**2 wrt u?\nAnswer: f**3*j**2 - 546834*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 10, -0.2, 1\/7, -4\/13?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three fifths of a millimeter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -596*t + 4000 = 612*t - 23784 for t.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 8\/(-6) + 2\/6. Let z = h + 2. Let b be (-64)\/6 + 11 + (-22)\/54. Is z at most b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 72 + -60. Solve 3*l + 0 = x for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 61195, 10, -3 in descending order.\nAnswer: 61195, 10, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10122 by 42.\nAnswer: -241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 112 + u**2 + 86*u**4 + 122 + 111 + 2*u - 352 + 2*u**3 + 0*u**2 in the form k + g*u**3 + f*u**4 + w*u**2 + s*u and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.4 - 0.1. Let t = 609 - 609.5. What is the third smallest value in t, -5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -38068, -38099, -38154, -38245, -38384?\n\"Answer: -2*o**3 - 17*o - 38049","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4454132 and 1216?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45 + (1 - -95) - 80.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000010627738 rounded to seven decimal places?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -250.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q**3 - 74*q**2 - 78*q + 87. Let w(s) = s + 13. Calculate the lowest common multiple of m(38) and w(10).\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 410180536 to the nearest integer?\nAnswer: 743","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 4\/15 of a minute?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w - 1. Let v be i(-4). Let m(k) = k**2 + 6*k + 5. Let j be m(v). Solve 5*n + 4*a = 3*n + 16, j = -n + 2*a - 12 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -12 + 3\/1 + 1. Let d be (-4)\/r*(-50)\/(-20). Which is the closest to 3\/5? (a) 1\/4 (b) 4\/13 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/20 of a milligram?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*i + 12. Suppose -i = -4*z - 2*q + 25, 0 = z + 3*q - 6. Suppose -4*g + 5*g - z = 0. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mxsxxssxasx. What is prob of sequence xxsx?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 557 - -38487?\nAnswer: 39044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (16\/(-20))\/2 - 2392\/(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 380.7194m to nanometers.\nAnswer: 380719400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2.02186091 from -15.98.\nAnswer: -18.00186091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3528 = 12*b - 6*b. Let i be (-4020)\/15*(-10)\/8. Let p = b - i. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from utlatsfslltll. What is prob of picking 1 l and 1 f?\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-198)\/(-1188))\/((-1)\/36).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*j**3*k**3 + 5*j**3*k - 66*k**5 - 3*k**2 wrt k?\nAnswer: 18*j**3 - 3960*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 421053*t - 842103*t + 421047*t.\nAnswer: -3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that y**5\/5 + 27641*y**4\/5 + 241075216*y**3\/5 + 525265315832*y**2\/5 - 1213551773372432*y\/5 - 1214076797640688\/5 = 0.\nAnswer: -9662, -1, 1346","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -73.7269024 to the nearest ten.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is u in u**2 + 120*u - 829*u + 39635 - 41057 = 0?\nAnswer: -2, 711","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11823 and 9.\nAnswer: 35469","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 4*v - 16 = 0, 3*v = -4*m - 0*m + 12. Suppose 3*h - 5*h + 14 = m. Let s(t) = 3*t**2 + 4*t + 3. Let y be s(-2). Is h at most as big as y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = 5*a**2 - 1535*a - 7575. What is v(312)?\nAnswer: 225","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 187 divide 265968604?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 18*j**2 - 18*j**2 - j - 13*j**2 + 50*j**2 to h*j + f*j**2 + b and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13443\/8 + -16827\/10. Find the common denominator of k and ((-23)\/(-12))\/((-25)\/(-3)).\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63372*a + 6489 = -63570*a - 8361 for a.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 5 + sqrt(6)\/(sqrt(242) - (sqrt(242)*1 - sqrt(242))) + ((sqrt(576) + sqrt(36))*-3)\/(sqrt(72)\/(-1*sqrt(6)) - sqrt(12)).\nAnswer: 3 + 167*sqrt(3)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000656 to 7 decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-338)*7410\/(-380).\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -b + 16, -24652 = -d + b. Does 9 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 488229362 to the nearest integer?\nAnswer: 787","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(2\/5)*s)**(-2\/7)\/((s**(2\/11)\/s)\/(s\/s**(-3\/7)))*(s*s\/(s\/((s*s*s**(4\/5))\/s))*s)\/s**0*(s*s**2\/s*s)\/s*s**(-2\/9) assuming s is positive.\nAnswer: s**(25528\/3465)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j. Let s(v) = -6*v + 5. Let z(o) = k(o) - s(o). Let b(y) = -2*y + 2. Give -11*b(n) - 4*z(n).\nAnswer: 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 12 - 4?\nAnswer: d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 + 5*c**2 - 6*c + 2. Let w be j(-6). Let h be (-6)\/(-4)*w - 3. Solve 0 = i - h + 2 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d + 41 = 17 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 73 = 227. Calculate the remainder when y is divided by 37.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(119)*1 - (sqrt(119) - (sqrt(119) + sqrt(119) + -4*(sqrt(119) - sqrt(119)*-2 - sqrt(119)))))\/((sqrt(147)\/(sqrt(7) + 1*sqrt(7)))\/sqrt(3)).\nAnswer: -16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -33 - 2 - (-1717 - -1686).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b + 56 - 2*b**2 + 53 - 20*b**4 + 18*b**4 - 114 + 12*b**3 to m*b**2 + j + n*b**3 + v*b**4 + i*b and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gkklrrlrglkkk. Give prob of sequence lk.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of 3\/4*f**4 + 0*f**3 + 0*f + 3\/2*f**2 - 4. What is the second derivative of l(g) wrt g?\nAnswer: 18*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 38 or 35?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -512 - -510. What is the units digit of 6\/9*-506*3\/a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 3*o**3 + o**2 - 38. Determine n(0).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1843 (base 10) to base 9\nAnswer: 2467","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 31081075 plus -2?\nAnswer: 31081073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, w: 1, g: 5, i: 2}. What is prob of picking 2 i and 1 w?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -31376 divided by 37?\nAnswer: -848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 306 by 9.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002065375 rounded to four decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**3 + 17*z**2 + 6*z + 533. What is the remainder when m(17) is divided by 107?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*d*q**4 - 2136*d*q**3 + d - 3*q**2 + 8914 wrt q.\nAnswer: 12*d*q**3 - 6408*d*q**2 - 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 66 + -64. Let j = 8898 - 8894. Solve 0 = -2*u - y*l, -j*u + 3*l + 35 = -0*l for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -28651044*o**4 + 2*o**2*z**3 - 6*o*z**3 - o + 525752 wrt o?\nAnswer: -343812528*o**2 + 4*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/3 in -1, 2\/7, 5, 2\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + ((sqrt(325)*-1 + sqrt(325) - sqrt(325))*6 - (-3 + sqrt(325) + sqrt(325)*2)))*-3)**2.\nAnswer: 810*sqrt(13) + 236934","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (192\/(-42) - -4)*(-2660)\/40. Solve -122*d - 168 = -t*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b*b**(-2\/9)*b)\/b)\/b*b**(3\/7))**(-13)*((b**1\/b)**(-1\/3))**(-2\/5) assuming b is positive.\nAnswer: b**(-169\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3\/19 + 3598816*s**2\/19 + 7197626*s\/19 + 3598812\/19.\nAnswer: 2*(s + 1)**2*(s + 1799406)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.001988 kilograms to tonnes.\nAnswer: 0.006001988","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 41048380 to the nearest integer?\nAnswer: 6407","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (50 + -24 - 32) + 35.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, -0.5, 3, 9\/7, 0.12, -0.4?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 297 = c, 8*c + 14*s - 364 = 446 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1021944057?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000003776 to seven dps.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 3*y = -12, 0 = -3*y + 4*y + 4. Suppose -5*m + 3*m - 4*k + 2538 = f, 5*k + 10 = 0. Suppose -5*n - 353 + m = 0. Is n a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2 + 1 + -2 - -3. Let y(u) = u**3 - 4*u**2 + u. Let g be y(c). Suppose -g*n + 5246977 = 20446977. What is n rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.07 - 0.19. Let l = q + 0.02. What is the closest to l in -0.3, 2, -1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 0*z = 0. Suppose z = 4*d + 16, -l + 0*d = 2*d - 32. Suppose -2 = -3*f + l. What is the remainder when 39 is divided by f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.05 + 0.05. Let o = 3\/32 + 43\/224. Which is the nearest to -1? (a) z (b) o (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 (base 14) in base 4?\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((sqrt(40)*-3)\/sqrt(2))\/sqrt(4))**2.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6549 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 95673, 95672, 95671, 95670?\nAnswer: 95669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 <= 659575?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-84)\/(-147))\/((2 - 906\/42)*-2)?\nAnswer: 2\/137","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 957633.2l in millilitres?\nAnswer: 957633200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 426418?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -44 - -269. Suppose -3*r = 2*r - z. What are the prime factors of r?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -4 + -1 + 1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v + 3*v - 30. Calculate the remainder when 37 is divided by ((-560)\/(-42))\/(4\/v).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 79 + -77. Solve -4*s - 6*f = -f + 10, j*s = f - 12 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/55)*x)\/(x*x\/(x**(-7\/4)\/x*x)*x) assuming x is positive.\nAnswer: x**(-833\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = b + 4916, 0*p - 3*b + 9842 = 4*p. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 183072 or 183071?\nAnswer: 183071","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sc when two letters picked without replacement from {s: 4, c: 1, e: 2}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -9 (base 16) to base 7\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 4*f = -0*f + 16, f = -p - 4 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 144, 446, 748, 1050, 1352?\nAnswer: 1654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-24)\/(-20)*15\/(-6). Let m be (35 + y)*(-4)\/(-8). What is the highest common divisor of m and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**8)\/w*w*w\/w**(-11)*w*w)**(-1\/2) assuming w is positive.\nAnswer: w**(-23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 81\/12896 and -1\/9672?\nAnswer: 38688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66244*v - 66340*v + 4320 = 0 for v.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -72 (c) 15448 (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:33 AM and 8:33 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010100000 + -1?\nAnswer: -10010100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 12211011220010 (base 3) to base 14\nAnswer: 5a7698","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*k**2 - 6*k - 360 = 0. Calculate k.\nAnswer: -10, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 97 - 64. Find the second derivative of -23*f**3 + 15*f**3 + 26*f + x*f**3 wrt f.\nAnswer: 150*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - o + 20, 0*o = -3*h - 3*o - 30. Let y = h - -14. Solve 0 = -3*f + y + 5 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -151, -2, 445, 1190, 2233, 3574?\nAnswer: 5213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nrnnrrnnfiinp. Give prob of picking 1 f and 1 i.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h and 1 t when three letters picked without replacement from tejcctccehchj.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 - 5*s + 19. Let f be m(-7). Suppose 3*w + w = -f*j + 316, 3*w - 12 = 0. List the prime factors of j.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -4*q + 1. Let r(o) = 9*o - 2. Let d(m) = 2*m - 4. Let a(y) = 11*y - 23. Let l(u) = 6*a(u) - 34*d(u). Let j be l(-4). Determine j*r(p) + 13*i(p).\nAnswer: 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 109666 - 109580.869. Let k = m + -85. Round k to 2 decimal places.\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 + 14*c**2 - 20*c - 34. Determine j(12).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -312*i. Let g(r) be the second derivative of -2*r**3\/3 - 8*r + 8. What is g(u(d))?\nAnswer: 1248*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/439074 and 151\/4098024?\nAnswer: 12294072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 5428820?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 159236 and 23.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 7446168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 12*v - 151. Let s be h(13). Let y(w) = w**2 - w. Let u be y(1). Factor n**5 + u*n**s - 7*n**3 + 6*n**3.\nAnswer: n**3*(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1557 and 45845.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5\/17512 (b) -0.2 (c) 0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 15 = -2*h. Suppose 0 = -2*p + h*p - 46. What is the tens digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 4*j = j + 48, -3*j - 26 = 2*h. Let f be (56\/49)\/((-2)\/h). What is the second derivative of 3*k**3 + 0*k**3 + 3*k**3 - f*k**3 - 4*k wrt k?\nAnswer: 12*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**3 + 145*d**2 - 1100*d + 26. Calculate r(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/17? (a) 0 (b) -0.4 (c) 823\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*p - 22*p - 25*p + 62*p - 238*p**2 to the form f*p + h*p**2 + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 774 = 11*v - 5*v. What is the remainder when v is divided by 45?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 - 11*v**2 + 8*v - 8. Give w(10).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 51 and 493?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 111721100 and 110.\nAnswer: 1228932100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35141 is divided by 288.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -13\/4*f**2 - 1\/4*f**3 + 7 + 4*f = 0?\nAnswer: -14, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 s when two letters picked without replacement from ouuousu.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4\/3)\/((-456)\/36 - -12). Which is the nearest to n? (a) -7 (b) 2\/23 (c) -0.5 (d) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41223621499 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 110011000001 (base 2) in base 6?\nAnswer: 23041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, 83, -0.2, 3\/35, -2\/13?\nAnswer: 83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13*h + 29*h - 4*h - 6*h + 1 to x + t*h and give t.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1776?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 26326*q**3 + 5*q**2 + 9*q - 13. Is g(1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7.5 + 3.5. Let d(y) = -y**2 + 3*y. Let s be d(3). Suppose 4*c - 3*c - 5 = s. What is the nearest to -0.3 in c, n, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51 + 43*y + 33*y - 42 - 23*y.\nAnswer: 53*y + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 + 7. Let n(j) = -2*j + 3. Let w = -141 - -147. What is the smallest common multiple of n(c) and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.02 - 0.02. Let r = 2.6 - c. Sort -1\/7, r, 2\/5 in increasing order.\nAnswer: r, -1\/7, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 52*a - 1 + 334*a + 1 to the form f*a + c and give f.\nAnswer: 386","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.12 and -35468790.\nAnswer: -35468789.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1746596*b - 1746777*b + 3493372*b.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4.3 - -4.3. Let c = -18 + 42. Let z = c - 29. What is the smallest value in z, -2\/5, -0.2, a?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2.4 - -3.4. Is -102 at least d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/7, 25.5, -0.4, -4?\nAnswer: 25.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -12 - -16?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2127 is divided by 67?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/97? (a) 1\/11 (b) 6.13 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + (-7 - -10 - 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -19*m**3 + 126*m**2 + 29*m - 14. Let v(s) = -24*s**3 + 168*s**2 + 39*s - 18. Give -9*o(b) + 7*v(b).\nAnswer: 3*b**3 + 42*b**2 + 12*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -0*a + 36. Are a and -9 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 48617169 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1936 and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3594 + 3333 + 6789 + 2054)*(x**5 + 2*x**5 - x**5).\nAnswer: 17164*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 2*u + 3*f + 1, f = 0. What is the third derivative of 7*o**6 - 12*o**2 + o**u - 4*o**6 wrt o?\nAnswer: 480*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 + (-5136354)\/(-14) - (8 + 300\/(-35)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4146 - 4143. Solve 2*i - 6*i + 4*h - 4 = 0, b*i - 2*h - 1 = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 11*v - 603. What is the greatest common divisor of v and 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 3\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 254 divided by 1\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -505180, -2020545, -4546146, -8081977, -12628032, -18184305?\nAnswer: -24750790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26 and 104.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 74750272109 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 409*v - 48219 + 33495 for v.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*n = -0*n - 105 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5624.9 rounded to the nearest 10?\nAnswer: -5620","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 2*z**3 + 2*z**2 - 6*z + 6. What are the prime factors of s(3)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -76 + 80. Solve -4*d + 0*t = -3*t + 20, d + j*t = 14 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*g = 171*g + 126*g + 1696 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1090, 1093, 1096?\nAnswer: 1099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.5 and -0.2423740836.\nAnswer: -0.7423740836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 - 1)*(-t + 2*t + t + (-3 + 3 + 2*t)*(0 + 4 - 5) - 2*t + 6*t - 3*t - 14*t - 21 + 20 + 4*t).\nAnswer: 18*t + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -52 + 68. What is the remainder when 79 is divided by s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rmdmmooddmdozddod. What is prob of picking 1 z and 2 d?\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180) + 1)*-4 + sqrt(180))*-3.\nAnswer: 12 + 54*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1113713831?\nAnswer: 1153, 965927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of w**4 - 237*w**3 - 4*w**2 - 26521*w?\nAnswer: 12*w**2 - 1422*w - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*s = -4*s. Suppose -f - 5*m + 618 = s, -3*f + 1309 + 617 = -3*m. Suppose f = 18*c - 7*c. What are the prime factors of c?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/2, -0.2, -5, 7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-2 - -6) + 4 + -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.061 - -0.161. Let o be -1 + (26\/16 - 1). Put t, 2, o in decreasing order.\nAnswer: 2, t, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-138)\/(-33) + (-36)\/198 + 15. Solve 14 = -26*h + t*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + 2*j - j**2)*(-4 - 2*j + 3 + 4*j + (3*j - 2*j - 2*j)*(0 + 0 - 1)).\nAnswer: -3*j**3 + j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j = 18*j + 24. Is -1 < j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (24 - -10 - 26)*(6 - 2\/1). Solve 4*h + 6 = -2*n, -29*n = -25*n - 3*h - q for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 8*w + 75. Let y be t(-9). Suppose -y*r + 7*r = 24. Solve 7*c + 4 = r*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 70 + -69.6. Sort 0.2, 9, r.\nAnswer: 0.2, r, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -7. Suppose 0 = s*z + u + 3, 4 + 0 = -4*z - 2*u. Let t(k) = k**2 + k + 1. Suppose 1 = 3*r - 5. Let h(b) = 2*b + 3. Calculate r*t(v) + z*h(v).\nAnswer: 2*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-18) - 42\/(-9). Suppose -2*w = -4*c + r*c - 18, w - 9 = -3*c. Is 6 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the second derivative of r**3\/6 - 12*r. Let f be l(-4). Is (1285\/15)\/(f\/(-84)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 1145120560 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2991120 by -110.\nAnswer: 27192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 2*k + 41 = 0, 0*d + 3571 = -5*d + 9*k + 3358 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/195 and 8\/9.\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 - 14*l + 4. Let i be p(-14). Suppose j = i*j - 12. Solve 0 = -q + j - 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - -3. Let d = 0.236 + -0.286. Which is the third smallest value? (a) r (b) -0.4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/24 of a minute in milliseconds?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1750 - -862. What is the thousands digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42\/5 of a decade in years?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**2 - f - 41. Calculate l(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -4 (c) -0.5 (d) -4\/63 (e) 2187\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -2 - (324\/(-1134))\/(-4 - (-1012)\/252)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 1)*(-14*r**3 + 3*r**3 + 5*r**3) + 0 + 0 - 2*r**3.\nAnswer: -8*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14958 = 7*c - 4*c. Suppose 0*b - c = -6*b. List the prime factors of b.\nAnswer: 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, -5, 5 in increasing order.\nAnswer: -5, 5, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -974, -952, -942, -950, -982, -1044, -1142, -1282?\n\"Answer: -b**3 + 29*b - 1002","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -460, -1836, -4130, -7342, -11472, -16520, -22486?\nAnswer: -29370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the first derivative of p**4\/6 - 4*p**3\/9 - 4*p**2\/3 + 16*p\/3 + 7. Suppose a(w) = 0. What is w?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) 220\/3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 840 is divided by 170?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**3 + 5*o**2 - 28*o + 12. Let s be q(10). Suppose -s = -13*t + 2*t. Calculate the lowest common multiple of 16 and t.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -122?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1286 - -1668. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = 4*v - 5, 5*t = -4*v - 22 + 15 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - 1012?\nAnswer: -1022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/12)\/(9\/6). Let h = 3 - 1. What is the nearest to u in 0.2, -1, h?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 14\/(-49) - (288\/7)\/(-4). Suppose a*z - 21 = 17*z. Suppose 19 = 5*k - 2*v, 3 + 7 = -5*v. Sort k, z, 5 in increasing order.\nAnswer: z, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9.18803 + -9.232. Round n to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 503628?\nAnswer: 2, 3, 41969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -252 divided by -126.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -209 - -209.1. What is the closest to 0 in u, 7, -2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -568 + 325. Let f = 243.212 + z. Round f to one decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*m**2 + 18*m**2 + m**3 - 13*m**2 + 46*m**2 + 4 as a + l*m**2 + b*m + y*m**3 and give l.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the first derivative of 0*g + 8 - 2\/3*g**3 + 0*g**2. Let f(m) = 8 - 8 - 3*m**2. Give u(f(r)).\nAnswer: -18*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 + 8*z + 8. Let g be (-8 + 2)*(-66)\/(-4). What is the lowest common multiple of a(8) and g\/(-6) + 1\/(-2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (r**2 + 0*r**2 + 0*r**2)*(685 + 944 + 434) as f*r**2 + p*r + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 84 and 335636?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of b**3 + b - 1\/60*b**5 + 1\/8*b**4 + 0 - 6*b**2. Give v(6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -57, 19, -3 in ascending order.\nAnswer: -57, -5, -3, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -163 (b) -3 (c) 3 (d) 96 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**1)\/h**(5\/6)*(h\/h**(-8)*h*h)\/h*h**(-5) assuming h is positive.\nAnswer: h**(37\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 71\/378 and 62\/77?\nAnswer: 4158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -13*r - 177. Let i(d) = -d - 20. Calculate -21*i(m) + 3*t(m).\nAnswer: -18*m - 111","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 5*c = -9 - 26, -2*c + 29 = y. Let u(r) = 5*r**2 - 25*r - 155. Let p be u(-6). What is the highest common divisor of p and y?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, -5, 3, 4 in decreasing order.\nAnswer: 27, 4, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 6007.18305 rounded to the nearest 10?\nAnswer: 6010","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/(-15))\/(48\/180)*672\/(-49)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 146 and -1.06.\nAnswer: -154.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = o**2 - o - 42. Let u be t(0). Let i be u\/(-8) + (-3)\/12. Calculate the smallest common multiple of (4\/i)\/(2\/10) and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6210 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104502 is divided by 34657?\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, h: 1, o: 7}. Give prob of picking 1 s and 1 h.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 + 6*x**2 - 39*x + 13. Let q be p(-10). Let a(u) = -u**3 - 2*u**2 - 3. Let z be a(-3). Solve -3*d - z = -d + 2*h, -5*d = -q*h - 1 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 2*v = 2*r + 25, -20 = r + 3*v for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -5*k - 791, 2592 + 632 = -4*g - 5*k. Let c = -366 - g. What is the remainder when c is divided by 56?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, w: 1, f: 1, k: 2, m: 1, h: 1}. What is prob of sequence fg?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9465 is divided by 126?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -o - 2*i, 0*i - i = -4*o + 114. Let w = -8 + o. Calculate the least common multiple of 5\/(5\/12) + 0 and w.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = j - 22, 0 = 5*j - f + 4*f - 110. Suppose j + 17 = 3*v. Let s be 1\/2 - v\/2. Put s, -1, -2 in descending order.\nAnswer: -1, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uazaikzzoiiu. What is prob of picking 2 i, 1 k, and 1 u?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*a**3\/3 + 10*a**2 + 8*a - 8\/3 = 0. Calculate a.\nAnswer: -2, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - -11 - (0 + 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15 + 7 + 7)*(-3*g**2 + 5*g**2 - g**2).\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -121418b (base 13) to base 7\nAnswer: -65442010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2834, -2832, -2830, -2828?\nAnswer: -2826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -65\/278082806 and -47\/6.\nAnswer: 834248418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -2. Is -17\/4 != h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from eeeeeeeefeeeeee.\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 93928717, 93928716, 93928715, 93928714?\nAnswer: 93928713","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, p: 3, g: 2, i: 1, z: 1, j: 5}. Give prob of sequence gzg.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 179238583 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 511*q**3*v**3 + 5*q**2*v**2 - 23*v**3 wrt q?\nAnswer: 3066*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 5*d = -3, 3 = -3*b + d + 14. Suppose -2*c = b*c - 216. Calculate the greatest common factor of c and 612.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 215*d**2 + 55*d + 55. Let x(v) = -8*v**2 - 2*v - 2. What is 4*w(z) + 110*x(z)?\nAnswer: -20*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 84\/10 + (-6)\/15. Suppose 0*y = y - 41. Let s = y + u. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 19097*s**2*y - 63144789*s**2 + 240*s*y wrt y?\nAnswer: 19097*s**2 + 240*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5176 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 3:39 AM?\nAnswer: 5:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + -1 + (5 - 0) + (-17 - -26)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q*q**(-1))\/(q**(-1\/2)*q)*q\/q**(-3\/8)*q*q\/q**(2\/13)*q)**0 assuming q is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-198)\/20 + 2\/(-20). Let z(y) = -2*y**2 - 19*y + 13. Let n be z(q). Factor 18*x**2 - 11*x**2 - 4*x**3 - n*x**2.\nAnswer: -4*x**2*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 5*k + 290 = 0, 4*u - 88 = 2*k + 150. Calculate the remainder when u is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - -2 - (2 - (-24)\/(-8))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -5 - ((13 - 8) + -15). Which is the smallest value? (a) x (b) 0.1 (c) 3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 3 p when four letters picked without replacement from {v: 4, p: 10, m: 3, a: 1}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2\/9*(-60)\/16*3552\/(-1776)\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 331 + -992\/3. What is the nearest to d in -1, 5, -0.4, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/9)\/((-2)\/(-18)). What is the second derivative of -17 + 17 - 15*l + 12*l**k wrt l?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -56.17 - -3.17. Let k = j - -53. Let g = 3 - 1. Put 4, k, g, 0.5 in increasing order.\nAnswer: k, 0.5, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 325422 and 3222.\nAnswer: 325422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 11) to base 8.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 118933, 118951, 118969, 118987, 119005?\n\"Answer: 18*x + 118915","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 182855349.13776 - 182831444. Let x = -23857.13776115 + z. Let k = x + -48. Round k to seven dps.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1800 and 45720?\nAnswer: 228600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 1 = -2*g - 5, 5*g = 4*s - 21. Suppose -4*w + 0 = -s. Suppose -w = -2*m + m. Are 2\/21 and m non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -127555440 rounded to the nearest 1000000?\nAnswer: -128000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -14*r**3 + 73*r**2 + 25*r - 173. What is u(5)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 24*v**3 - 3*v**2 + 2. Let d(o) be the third derivative of o**6 - 4*o**5\/15 + 11*o**3\/6 + 60*o**2 + 3. Calculate -2*d(g) + 11*k(g).\nAnswer: 24*g**3 - g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x**2 - 21*x + 1. Let f be n(21). Let v be (-5 - -5) + -4 + f. Let b(g) = -4*g**3 + 3*g**2. Let o(y) = -5*y**3 + 4*y**2. Give v*b(q) + 2*o(q).\nAnswer: 2*q**3 - q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -418, -309, -200, -91?\n\"Answer: 109*r - 527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 7*g**3 + g**2 + g - 1. Let d(l) = -l - 11. Let z be d(-12). Let t be v(z). Let b = -6 + t. Is 4 greater than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u - 361. Let g(l) = l - 240. Determine 8*g(j) - 5*y(j).\nAnswer: -2*j - 115","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 156380.6855 to the nearest one thousand.\nAnswer: 156000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the first derivative of o**3\/3 - 3*o**2\/2 + 3*o - 3. Let y = -6 + 8. What is v(y)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 4*t = -4, 1 = -2*n + 2*t - 1. Let o be 3*(n - 1)*-2. Suppose -o*q = -q - 210. List the prime factors of q.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.13880246936 to five dps.\nAnswer: 0.1388","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-2 - 3) - (259 + -252)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91)*-1)\/sqrt(7) + 4*(sqrt(13) + 2).\nAnswer: 8 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (6\/(-27))\/(-1 + 2). Let v = 0.359 + -0.059. Which is the second smallest value? (a) v (b) -2 (c) 1.1 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3*15\/12*(-8)\/(-6). Let s = 34 - 24. Find the second derivative of 0 + s*f**q - 14*f**5 + 0 - 5*f wrt f.\nAnswer: -80*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 + -19.8. Let l = 1.7 + f. Which is bigger: 5 or l?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 4*f - 645, 4*f - 192 = 4*h + 328. Let i = h - -128. Suppose -16 = -w - 3*w. Solve -6*n + w*m = -n - 16, i*m = -n + 7 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*s = 82 - 38. Let u be -10*(-1)\/5*5\/s. Put 1, -4, u, -7 in descending order.\nAnswer: 1, -4, u, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-20)*d)**(-5\/14)*d**5\/(d\/d**(16\/3)) assuming d is positive.\nAnswer: d**(677\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17 is divided by (24\/14)\/((-28)\/(-98)).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 393*w - 114*w + 2755 = 134*w for w.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3384515?\nAnswer: 5, 676903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 PM and 3:53 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 16 - 40. Let m be 21\/(-14)*x\/9. Is (m + 5560\/(-15))*6\/(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6 - -a3b0?\nAnswer: a3b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 20 + -16. Suppose q*v + 20 = 40. Solve 3*c - 25 = -2*c - v*t, -5*c + 2*t = -4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 9*r - 7*r - 2*x, 3*r - 1 = x for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*j - 251*j = -426. Let o(l) be the first derivative of -1\/4*l**4 - 3\/2*l**2 - j*l - 2*l**3 + 8. What is o(-6)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -164086\/9, -3, 0.4 in descending order.\nAnswer: 0.4, -3, -164086\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 478 divide 13159367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 44*y**3 - 1. Let j be o(1). Let g = j + -32. Solve -i = 5*h - 12 - 1, -3*i + g = h for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6 and 50443.\nAnswer: 302658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-3))\/((d*d**(-2\/13))\/d))**(4\/7)\/(d**(-8)*d*d*d\/(d\/(d\/((d\/d**(-1\/3))\/d)*d*d))*d*d)**20 assuming d is positive.\nAnswer: d**(7928\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -2*s - 12. What is c(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -75086, -75081, -75076, -75071?\nAnswer: -75066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-9 + (14\/18)\/(4\/36))\/2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -k**4 - k**3 + 16*k**2 + 16*k = 0.\nAnswer: -4, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 + -8. Does 2 divide (-5 - p)\/((-1)\/2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -3, 1, 48, -4, 2 in decreasing order.\nAnswer: 48, 2, 1, -3, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.11 - -3.11. Let p = 361.1 - 362.1. Which is the biggest value? (a) u (b) 0.12 (c) -4\/3 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -5025000 rounded to the nearest one million?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-18)\/(-5))\/((-42)\/(-35) - (-16)\/(-10))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -146*o**2 - 39321*o - 13168595 wrt o.\nAnswer: -292*o - 39321","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 47899634 to the nearest integer?\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 2*z + 1426 = 0, -12*s + 16*s + 1139 = z. Let u = -1987\/7 - s. Which is smaller: 2\/67 or u?\nAnswer: 2\/67","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 0 + 8 + -4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4 + 4)*-1*-1. Suppose -5*u - 2 = -3*u. What is the common denominator of (-59)\/((-2 + q)*u) and -55\/7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -5461?\nAnswer: 1\/5461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 3*y + 12387 = 0, 5*y = 11*q - 9*q - 6239. What is the lowest common multiple of q and 3102?\nAnswer: 3102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 15040967045*s**2 - 8227050*s + 1125.\nAnswer: 5*(54847*s - 15)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -93540 by 3.\nAnswer: -31180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56 divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -2 - 44\/(-16) - (-66)\/8. Let i(y) = 0 + 4 - t*y + 13*y - 9*y. Let s(n) = -n + 1. Calculate -3*i(r) + 12*s(r).\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 + 6*w - 6. Let t be i(5). Let z be 2 + (-6 - -3) + 5. Sort z, 5, t.\nAnswer: t, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -213564, -213531, -213468, -213369, -213228, -213039, -212796, -212493?\nAnswer: -212124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 69518?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4, -5, 29, 2\/1013?\nAnswer: 2\/1013","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 63 and 180210.\nAnswer: 3784410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(1*(-3)\/198). Suppose 0 = -4*y + 2*y + r. Suppose 82*k + 23*k - 1057 - 308 = 0. What is the remainder when y is divided by k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 26 = 2*d, -34 = 5*v - 0*v + 2*d. Let c be 0 + (v - (-1 - -3)). What is the remainder when 17 is divided by (22\/c + 2)*-12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -111 (b) -3\/2 (c) 11 (d) 30\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -17*t. Let l(m) = 273*m. Let j(w) = 3*l(w) + 49*y(w). Suppose -3*i - 5 = 2*i, -23 = -r - i. What is the remainder when j(-5) is divided by r?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 plus -5093.45?\nAnswer: -5093.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvwv when four letters picked without replacement from {v: 3, w: 2}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12225\/17 + 719. Let p = -1 - 0. Are v and p unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1514706 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 83 (base 13) in base 9?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 PM and 3:59 PM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -144.4 + 131. Let o be ((-2)\/(-5))\/(-17*(-100)\/(-4250)). Is u less than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 32*k - 6*k - 480 = 0 for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f**3 - 5*f**4 - f**3 - 5*f**3 + (0 + f**2 + 0)*(-3*f**2 + 0*f**2 + 2*f**2).\nAnswer: -6*f**4 - 3*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 14\/5? (a) -1.6 (b) 2\/13 (c) -1\/3 (d) 0.03 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(1\/7)\/((s**0*s)\/s)*s**3\/s*s**(-5) assuming s is positive.\nAnswer: s**(-20\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 13) in base 11?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2. Let j(r) = -8*r - 3*r + 13*r - 3*r. Let f(b) = -4*j(b) - m(b). Differentiate f(q) wrt q.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(612) - ((sqrt(612)*2)**2*-6 + sqrt(612))) + -3.\nAnswer: 14685","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zuuuuzuuuu. Give prob of picking 1 z and 2 u.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.044 - -28.756. Round t to zero decimal places.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1512, 1513, 1514?\n\"Answer: s + 1511","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 30*o**2. Let y(c) = 15*c. Give p(y(j)).\nAnswer: 6750*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of 7*i**6\/180 - 19*i**4\/24 + 26*i**3\/3 - 6. Let j(u) be the third derivative of t(u). Find the first derivative of j(p) wrt p.\nAnswer: 28*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 - 3*q + 7. Calculate the remainder when p(-5) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14366940?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -16, -14, -12, -10, -8, -6?\n\"Answer: 2*i - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 660, 5, 23, -5, 4, -3.\nAnswer: -7, -5, -3, 4, 5, 23, 660","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24877742?\nAnswer: 2, 12438871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 490 divided by -14868.\nAnswer: -35\/1062","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, k: 2, n: 4}. What is prob of sequence kkan?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1)*o)\/(o\/(o*o\/((o\/(o*((o\/(o*o*o*o\/o**(-6))*o)\/o)\/o)*o)\/o))*o)*(o**(2\/5))**21*(o**0*o)**(-1\/16)\/(o**1)**49 assuming o is positive.\nAnswer: o**(-4053\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 278152199 to the nearest integer?\nAnswer: 16678","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-5\/7))\/y**(-2\/11)*((y*y**(1\/31)*y)\/y)\/(y\/((y*y**(1\/3))\/y)))**15 assuming y is positive.\nAnswer: y**(80980\/2387)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 239365?\nAnswer: 5, 7, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 20 = -3*v. Suppose -2*b + 2 = -3*d, v*d - 3*d - 24 = -5*b. Solve -3*m - 3 = -3*h, d*h = 4*h + 4 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47423*t**3 - 1160*t**3 + 11913*t**3 + 21191*t**3.\nAnswer: 79367*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*b = 62*b + 674. What is the hundreds digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 366 is divided by 53.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 1\/3, -2\/17, 2, 8?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 65, 71, 77?\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 26 = -14. Suppose -b*z = 15*z - 12625. What are the prime factors of z?\nAnswer: 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 16731 + -16731.0002448. Round q to 5 dps.\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -43777518 divided by 746?\nAnswer: -58683","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -2*r - 8. Let v be 2*r\/16*-2. What is the highest common divisor of 1 and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8618471 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(5 + (sqrt(28)\/(sqrt(6)\/sqrt(3)))\/(sqrt(2) + (sqrt(2) - (sqrt(2) + (2*sqrt(8))\/sqrt(4)))) + 5*((sqrt(525) - sqrt(525)*1) + sqrt(21))\/sqrt(3)))**2.\nAnswer: 360*sqrt(7) + 1233","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*w - 9 + 12 - 13*w)*((-1 - 2 - 1)*(1 - 2*w - 1) + (1 + 5 - 4)*(-w - 2*w + 5*w)) to q*w**2 + m*w + j and give q.\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 4*p + 21 + 0 + 11 + 22. Let n be b(-11). Suppose 0 = 3*c - 4*k - 19, 0*k = -2*c + 2*k + n. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -228 + 878 = 10*u. Suppose 9 - u = -14*q. Suppose -2*s + 0*a - q*a = 0, 4*s + 5*a = 9. Solve -w = 2*w + s for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 887579.2um to nanometers.\nAnswer: 887579200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/((k**(-2\/15)\/k)\/k))**(-41))**(-6\/13) assuming k is positive.\nAnswer: k**(3854\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 + 7*k + 40. Let i be c(10). Let f be 3\/((-12)\/10)*-2. Suppose -4 = -3*g + g. Solve -f*u = -g*s + i, -2*s + 0*s = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*p - 61*p = -18, 5*h = 4*p - 16 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1.9 - -4.1. Let w = -6 + c. Let m(a) = a - 9. Let s be m(9). Is s at most w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 216 and 7959536?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 + 4*s**2 + 21*s - 19. Determine x(8).\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 2 = 2. Suppose -o + 14 = 9. Sort b, 6\/7, o, 0.5 in descending order.\nAnswer: o, 6\/7, 0.5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6916?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 542696.2 millennia?\nAnswer: 5426962","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 3*c**2 + 14*c + 153. Let v be o(-16). Suppose a = v + 311. Does 55 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, 37, 63, 99, 145, 201, 267?\nAnswer: 343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-5)*(-3)\/6.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 3 = -9. Suppose 4*r = l*r + 2. Find the second derivative of 0*b**5 + 2*b**5 + 0*b + r*b wrt b.\nAnswer: 40*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -147*z - 5. Let n(s) = 74*s + 3. Give -4*g(r) - 7*n(r).\nAnswer: 70*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -12, 3, 2, -1278 in increasing order.\nAnswer: -1278, -12, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ct when two letters picked without replacement from {c: 2, t: 16}.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2922207 (base 11) in base 12?\nAnswer: 1823a32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 v when two letters picked without replacement from {y: 1, h: 7, v: 2, a: 4, n: 4, t: 2}?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 0.4 (c) 170\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -39, -167, -381, -681, -1067, -1539, -2097?\nAnswer: -2741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1784 divided by 8\nAnswer: -223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -6*s**2 - 7*s + 1. Let c(n) = n**2 - n. Let v(t) = 5*c(t) + o(t). List the prime factors of v(-9).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the first derivative of -4*a**2 - 14. Let o(y) = 0*y**2 - 3*y - y**2 + 3*y. What is x(o(l))?\nAnswer: 8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8*(-14 + (-837)\/(-60)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26407754 by 61.\nAnswer: -432914","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13233 = 195*y - 4804 + 7366 for y.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003043371 rounded to six dps?\nAnswer: -0.000304","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 22 = 8. Let t be 2\/(-1)*(-4 - -2). Solve p = -t*f - 6 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - (-10965)\/1581) + 3?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 3*q - 3*q + 2*q - q. Suppose -u + 0*u = 0. Let f(p) = 5*p - 3*p + u*p. What is h(f(d))?\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 119\/52410 and 97\/50.\nAnswer: 262050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130)*-3*-5)\/sqrt(10))**2.\nAnswer: 2925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -770*h**2 - 5015*h + 5015*h.\nAnswer: -770*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 29 - 27. Suppose 25 + 33 = w*b. Let i = 33 - b. Solve 2 = i*g - 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 28 - 116. Let z = c + 88. Is z != 7\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from ssss.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21311 - -21314. Solve -3*m = -w*o - 27, -83 = 2*o + 5*m - 100 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-7)*o*o**(2\/25))**14 assuming o is positive.\nAnswer: o**(-2072\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + t = -346, -3*y + 422 = 2*y + 4*t. Let j be 2\/7 - (-2 + y\/7). Let s = 73\/5 - 231\/10. Which is smaller: j or s?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1511.1 - -1420. Let k = w + 95. What is k rounded to 0 dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.029413 rounded to 3 dps?\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 5*u**3 - 4171 + 2796*u - 7656*u + 5*u**4 + 391 - 45*u**3 - 1125*u**2 = 0.\nAnswer: -6, -1, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*((-90)\/4)\/(-5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 866253 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.67 - 0.6841. Round r to 3 dps.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 69*c - 375.\nAnswer: 69","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 3 = -c, 3*c + 11 = a - 2*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -85 - -85. Let j(p) = p + 5. Give j(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1993\/11 - 181. Put 3\/7, w, 0.2 in ascending order.\nAnswer: w, 0.2, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4440 is divided by 359.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -q + 29*q**4 - 16*q**4 - 3*q**2 - q - 12*q**4 + 3 to t*q**3 + i*q**2 + f*q**4 + h + b*q and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -37*s**2 + 3*s + 4. Let f(y) = 111*y**2 - 9*y - 12. Let h(z) = -6*f(z) - 17*p(z). Let w be h(-2). Let u = 226 + w. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3a - -8c48?\nAnswer: 8c0c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 804447 is divided by 804424?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -20*o**5 - 17*o**3 + 240*o + 64*o**2 + 24*o**5 + 21*o**3 + 128 - 51*o**3 - 29*o**3 - 24*o**4 = 0. What is o?\nAnswer: -2, -1, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 839*t - 4998 = 833*t. Calculate the highest common divisor of t and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6 and -1438324?\nAnswer: -8629944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5.6298885 + 5.63. Round y to 6 decimal places.\nAnswer: 0.000112","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 146*q - 206*q - 150*q + 109*q + 5 - 1.\nAnswer: -101*q + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -1082.6 (b) -2\/15 (c) 0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -g - 3. Let a = 1 - g. Suppose a = -0*q - q + 6. Solve 2*m - q*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 70, -8, -230, -668, -1394, -2480, -3998, -6020?\n\"Answer: -12*y**3 + 6*y + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -116226309*l - 63270120 wrt l?\nAnswer: -116226309","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 201*w - 140*w**4 + 1 - 8*w + 2 - 28*w wrt w.\nAnswer: -1680*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 209\/57 - (-10)\/(-15) - -15149.\nAnswer: 2, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 122481 a multiple of 93?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 5720369 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 33 = 3*t, -4*f + 6 + 16 = -10*t + 18*t - 6*t for t.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 + 9*x - 12. Let l be b(7). Solve -19 = -5*p - l*z - 0*z, -z - 3 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/1904 and -57\/560?\nAnswer: 9520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*o + 5*o - 20*o)*(-2 - 3 + 4)*(3*o - o + o).\nAnswer: 57*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1889 + 1711 = 28*a + 20*a. Calculate the greatest common factor of a and 2745.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -12*c - 1. Let w(d) = -98*d - 112. Let n(s) = 9*s + 10. Let z(h) = 56*n(h) + 5*w(h). Determine z(g(p)).\nAnswer: -168*p - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**2 - 39*h - 226. Suppose 0 = 3*o + u + 90, -5*u = 158 - 188. Give c(o).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 5 - t)*(-t + 4 - 4) + 1695 - 3426 + 2*t**2 - 363*t + 1729 in the form n*t**2 + k*t + c and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -53, -45, -25, 13, 75, 167, 295, 465?\nAnswer: 683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 7*t**2. Suppose -16 = -5*c - 1. Let z(s) = -13*s**2 - 3*s + 4635 - 4635 + c*s. What is g(z(v))?\nAnswer: 1183*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 80\/30 + 2\/(-3). Let k(z) = z**2 + 3*z - 4. Let b be k(-6). Suppose r + b = p*r. Is r a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 + 10*x - 4. Let b be z(9). Suppose b*i - 240 = -0*i. Suppose 0*m - i = -3*m. What is the highest common factor of 80 and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**3 - 5*l**2 + 3*l + 8. Give n(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-1*sqrt(45))\/(sqrt(729)*2).\nAnswer: -sqrt(5)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 7*j - 3. Let a(p) = -3*p + 1. Suppose 2*n = -5*g + 4 - 6, 2*g = -5*n + 16. Suppose 9 = n*x - 7. Calculate x*u(i) + 10*a(i).\nAnswer: -2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 26453890769 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, 1, 888 in decreasing order.\nAnswer: 888, 1, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q**3 + 17*q**2 + 9*q - 12. Let h be d(9). Let r be 39 + 0 + 2 + 24\/h. Calculate the highest common divisor of r and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 376.\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times -195?\nAnswer: 780","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -117*b**2 - 4*b + 79*b**2 + 9 + b**3 + 78*b**2.\nAnswer: b**3 + 40*b**2 - 4*b + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 218505 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5063 is divided by 20?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-8)*(-30)\/(7800\/(-884))?\nAnswer: 17\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.3057 - 12.9843. Let p = q + 0.39. Let w = -12.9 - p. Which is the nearest to w? (a) -1 (b) 2 (c) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i - 31*i = 120 - 680. Solve 0 = -k + 3*o + i, o + 1 = -4 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 167112942?\nAnswer: 2, 3, 19, 37, 39619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1523087837 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 3\/5 of a minute?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -o - 10, -4*d - 22 = 4*o - d. Calculate the common denominator of 1\/3*206\/8 and 1 - ((-27)\/o + -1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/96*20*(-12)\/(-10)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 64*p - 2738 = -65*p, 1634 = 3*l + 5*p. Calculate the remainder when l is divided by 272.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*r - 19. Suppose -5*f = 2*t - r*t, -5*t = 0. Suppose f*k = k - 22. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 (base 5) in base 16?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 56 divide 5152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00005383 rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 6972356846 a multiple of 54?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 48276?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 108478 to the power of 1\/4, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -562772 + 562772.0460002. Let b = j - 0.046. Round b to seven decimal places.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 2368 = 11*g - 7*g, g = x + 584. Does 28 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, m: 14}. What is prob of sequence ww?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 19497979 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2460)\/120*((24\/5)\/(-3))\/(2\/(-5)).\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -8726, -8684, -8618, -8522, -8390, -8216?\n\"Answer: v**3 + 6*v**2 + 17*v - 8750","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -67053 - -67057. Suppose -2*s - 3*x = -28, 0*x = -2*s - x + 24. Suppose 2*y = -3 + s. Solve 4*l = -z*b + 20, y*l - 20 = -0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -201 + 18?\nAnswer: -183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100011011011001000011101111 - 11?\nAnswer: -100011011011001000011110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one fifths of a litre?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 34 + -134. Let x = c - -98. Put 1, -4, x, 4 in descending order.\nAnswer: 4, 1, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11101101011011001001 (base 2) in base 15?\nAnswer: -143229","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -692, -674, -646, -608?\nAnswer: -560","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 - 30*a**2 + 31*a - 53. Let b be j(29). Suppose -b*v + 5 + 70 = 0. What is the tens digit of (55 + 1)*(17 - v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 less than -59826456383.3?\nAnswer: -59826456365.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-4)*80\/(-15)*-6. Solve -i - n = 4*a - 0*i, -5*a + 5*i - 45 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (59 - 59 + 7*j - 3*j + 4 - 4 + (3 + 0 - 2)*(j + 2*j - 5*j))*(-3 + 26 + 23).\nAnswer: 92*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 4) to base 2.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 115545 and 260.\nAnswer: 6008340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83545963?\nAnswer: 37, 61027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -f**5\/2 - 107*f**4\/2 - 1389*f**3 - 5150*f**2 + 97196*f - 203280 = 0. Calculate f.\nAnswer: -70, -22, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 192, 338, 780, 1680, 3200, 5502, 8748?\n\"Answer: 27*f**3 - 14*f**2 - f + 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 8:12 AM?\nAnswer: 9:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 PM and 4:18 PM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the third derivative of 1\/900*p**6 + 1\/150*p**5 + 0 + 1\/90*p**4 + 0*p**3 + 0*p - 3*p**2. Factor r(s).\nAnswer: 2*s*(s + 1)*(s + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 325143 and 318?\nAnswer: 34465158","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -884.10869*3\nAnswer: -2652.32607","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t + 14*t = 0. Let m = t + 17. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12\/(-18) + 128\/201. Let j = -128\/201 + s. Which is greater: 2 or j?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**3 + 3540*j**2 - 17600*j.\nAnswer: -4*j*(j - 880)*(j - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -525.673 * -46\nAnswer: 24180.958","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - -100100101?\nAnswer: 100100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 9. Suppose -y*f + 19 = 2*w, 3*f - 2*w = 10 - 5. Suppose 85 = q + 2*x - 5*x, -f*q + 277 = 2*x. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000009383 to seven dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.004, 6, 1\/3, -5, 62, 0.01 in increasing order.\nAnswer: -5, -0.004, 0.01, 1\/3, 6, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -5. Let s = -0.05 - -4.25. Let o = d - s. What is the closest to -2 in o, -0.3, 0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = f - 20, -38*d = -3*f - 52*d - 27 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3991696569?\nAnswer: 3, 7, 5171, 12253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + -50c6?\nAnswer: -50c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 - 183*v + 752. What is the least common multiple of z(4) and 24?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) be the first derivative of -4*d**4\/3 + 68*d**3\/3 - 116*d**2 + 704*d\/3 - 1073. Suppose z(g) = 0. What is g?\nAnswer: 2, 11\/4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**3\/9 + 316*c**2\/9 - 208*c\/3 = 0. Calculate c.\nAnswer: 0, 2, 156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = u + 5*h - 8, -7*u - 5*h - 10 = -12*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86497.\nAnswer: 67, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**21\/h*h\/h**(-12))\/(h*h\/h**(-1\/2))**(-5) assuming h is positive.\nAnswer: h**(91\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 342431 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10959618 to the nearest integer?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.072 (b) 1\/3 (c) 90 (d) -3 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 58 and 667?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -49.4 or -16?\nAnswer: -49.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 12:32 AM?\nAnswer: 11:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3823281?\nAnswer: 3, 7, 11, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -3 + 7*l**2 - 3*l**2 + 3*l**2 - l. Let o(u) = -4*u**2 + 2. Let m(d) = 5*o(d) + 3*q(d). Let f be m(3). Solve 6*w = -5*s + w, 0 = w - f for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 398 minutes after 10:00 PM?\nAnswer: 4:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.7472 - -0.3472. What is the smallest value in 2, 1\/135, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 982759.6 nanograms?\nAnswer: 982.7596","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -792017 to the nearest 10000.\nAnswer: -790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -8523, -5, 2, 0 in decreasing order.\nAnswer: 2, 1, 0, -5, -8523","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(99)*4 - (2 + sqrt(1100) - sqrt(1100)).\nAnswer: -2 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + -2 + 2 + -2. Let u(t) = t**3 - 8*t**2 + 6*t + 6. Let o be u(7). Let v = o + -2. Is v != x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -54944*b**3*f**5 - 3*b**3*f + 74*b**2*f - 3*b*f - b wrt f?\nAnswer: -1098880*b**3*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, r: 1, w: 1, p: 1, g: 2, h: 1}. Give prob of sequence whl.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 78 and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7493189?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -86045*2\nAnswer: -172090","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnn when three letters picked without replacement from {o: 7, z: 1, h: 2, m: 1, n: 3}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -1.5046006\nAnswer: -3.0092012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 202213.\nAnswer: 11, 31, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a**3 + 2*a**2 - a - 37. Let j be q(6). Let z = 461 - j. Factor -2\/7*u**3 + z*u**2 - 4\/7 + 6\/7*u.\nAnswer: -2*(u - 1)**2*(u + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103130 minus -7565?\nAnswer: 110695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 38411 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 - (-2 - (-57)\/(-27)). Let u = -0.2 + 0. Put u, y, 2 in decreasing order.\nAnswer: 2, y, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -12 + -1 + 7093\/519. Let i(q) be the second derivative of 0*q**2 + 0 - 7*q + t*q**3 - 3\/2*q**4. Find the second derivative of i(m) wrt m.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 156768.\nAnswer: 2, 3, 23, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-1\/6)\/(x*x**(-1)*x))\/((x*x**(5\/3))\/(x*(x*x*x\/(x*x*x*x**6))\/x)))**(-32\/3))**(-26\/3) assuming x is positive.\nAnswer: x**(-24544\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/3 and 47\/9633?\nAnswer: 9633","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 AM and 12:34 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 36 + -33. Let y(a) = -21 - 29 + 38 - v*a. Calculate the remainder when y(-7) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a**3\/11 + 11252*a**2\/11 + 15814680*a\/11 - 31674384\/11 = 0. Calculate a.\nAnswer: -2814, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15556*v - 15302*v + 5080 for v.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/((d*(d**(-8)\/d)\/d*d*d)\/d))\/(d\/(d*d**1*d))*d**(4\/9)\/(d\/(d*(d\/(d\/(d**(-1\/5)\/d)))\/d)))**(-3\/4))**(-40) assuming d is positive.\nAnswer: d**(832\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a second in microseconds?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -83\/12 or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, -0.004, 0?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10255\/482 - -8653005\/3856. Let g = o - 2267. Calculate the common denominator of g and 43\/8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5120962.\nAnswer: 2, 7, 11, 3023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 2142*w - 17122. Determine d(8).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10.69 - -11.1. Let a = -0.59 - c. What is the nearest to 14 in a, -0.5, -3\/2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 - 11*a**2 + 12*a. Let y be p(-12). Suppose -5*w - 5*h = -h + 66, y = w + 3*h + 22. Let t(d) = -d**3 - 10*d**2 - 5. Give t(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(((l*l**1)\/l)\/l))\/l*l)**(-46)\/(l**(-4)*l**(-3\/2)))\/(l**(-1\/6)*l**(-1\/4)*l)**41 assuming l is positive.\nAnswer: l**(-773\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 368807596?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d**2 + 32*d. Let m(w) = -2*w**2 - 36*w. What is 6*m(q) + 5*y(q)?\nAnswer: -2*q**2 - 56*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -1086047.866 to the nearest 1000.\nAnswer: -1086000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107 is divided by 88.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4 and 468?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.3705094 times -20\nAnswer: 7.410188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -50\/189 and 53\/1375353?\nAnswer: 1375353","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, 0.2, -4, -0.2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 26461070?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 49905 = 22158 - 10390. What is the ten thousands digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 + -4 + (7 - -3) + -18 + 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 732291?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in -0.3, 2\/7, 4\/13, -9\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, -3, 27, 89, 195, 357, 587?\nAnswer: 897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y*y*y**(-11))*y)\/y**(-6\/7))\/(y\/(y*y*y\/y**(2\/5))*(y\/y**11)\/y) assuming y is positive.\nAnswer: y**(856\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 5*c - 90, -2*c - 4*j + 18 = -0*j. Suppose -c = -5*r + 5. Find the third derivative of -r*a**2 + a**3 + 5*a**5 - a**3 - 4*a**5 wrt a.\nAnswer: 60*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/27, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.04? (a) 0 (b) 3\/7 (c) 0.07 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -31 - -46. Calculate the highest common divisor of 45 and n.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5940437 and 31.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 138 + 102 = 0. Let g(d) = d**3 - 13*d**2 + 14*d - 12. Let b be g(12). Calculate the greatest common factor of f and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1841*h**2 - 2894 - 327*h**2 + 2894.\nAnswer: -2168*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*a**2 - 3*a + 3*a)*(2 + 4 + 8).\nAnswer: -56*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4306 divided by 11?\nAnswer: 4306\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*c**4 - 110718*c**3 + 1023530607*c**2 - 36739553940*c + 330333446700.\nAnswer: 3*(c - 18435)**2*(c - 18)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-16 - -16) + (4 - 0)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 254517 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 438 and 1515918.\nAnswer: 438","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1)*(0 + i + 0) - 3*i - 2 + 2 + 2*i - 5*i + 4*i.\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19946*r**4 - 2*r**2 + 2*r + 1801 wrt r?\nAnswer: 478704*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 71, 255, 571, 1025, 1623, 2371, 3275?\nAnswer: 4341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 106 * -0.2.\nAnswer: -21.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2*v + 5 = -v, -25 = d - 5*v. Solve d*a - a + 1 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i - 12. Let l be p(-16). What is the third derivative of 11*k**2 + k + 4831*k**4 - 4755*k**l - 2*k wrt k?\nAnswer: 1824*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9162 and 72?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 66\/10 + (-3)\/5. Suppose -z*f + 2*f = 0. Let h(k) = -3*k**3 - 3 - 2 + k + 4*k**3. Determine h(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*t**2 + 6*t**3 - 2*t - t**2 - 6*t**3 + 23 + 5*t**3 - 24 to k*t**3 + i*t + z + b*t**2 and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -63 or -2850825?\nAnswer: -63","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 37\/2 of a gram?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 2*u**2. Let j(k) = 25*k**2. What is j(c(p))?\nAnswer: 100*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 18*o**2 - 3*o - 1. Let g be -1 + 5 + (6*-1)\/2. Let m be k(g). Solve 2*b = 5*l - 1, 3*b + m = -2*b + l for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/7 of a week in hours?\nAnswer: 192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -320, -641, -962, -1283?\nAnswer: -1604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-8) - 33\/(-12). Suppose -4 = f, 9 = c*n + 2*n + 4*f. Is (-1)\/(-5) + 44\/n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/346978 and -37\/1588?\nAnswer: 693956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of h*v**3 + 5*h*v**2 + h*v + 18595*h - 550*v**2 - v wrt v.\nAnswer: 6*h*v + 10*h - 1100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2dc - 33e6?\nAnswer: -3109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 19*s - 1. What is the remainder when z(1) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from msxsqxsqmixmmsy. What is prob of picking 2 m?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 - 11*c + 15. Let n be a(10). Suppose -5*h - l = -8 - 4, n*l = -5*h. Suppose 1 + 62 = h*r. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9486)\/93*4\/16?\nAnswer: -51\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -188 + 179. Let t = m + 14. Solve 2*x + t = 7 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(5808)*5)\/sqrt(4))\/(sqrt(12)\/(sqrt(896)\/sqrt(7))))**2.\nAnswer: 387200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -708 = -139*y - 5712 for y.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 324 divided by -18\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of -8*v**3\/3 + 2. Let c(q) = -2*q. Determine c(z(g)).\nAnswer: 16*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*k = -68*k + 6 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -11*d + 406. Let b be z(36). What is the highest common factor of b and 290?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and -13.1.\nAnswer: -3.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -13 - (5 + 21 + -10)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 32 - 31.6. Sort 4.1, -3\/5, c in ascending order.\nAnswer: -3\/5, c, 4.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10678368 at most -10678376?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dgy when three letters picked without replacement from {y: 1, d: 2, i: 3, a: 3, g: 1}?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -962 + -3?\nAnswer: -965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 2\/3, -3\/22, 0.14?\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**34*m**11 assuming m is positive.\nAnswer: m**45","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the third derivative of -i**5\/60 + i**4\/2 + 7*i**3\/6 + 5*i**2. Let g be f(8). Let b = -19 + g. What is the highest common factor of b and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*x + 16*x + 84 = 0. Put x, -0.043, -0.3, 0.11 in decreasing order.\nAnswer: 0.11, -0.043, -0.3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 9*g = -20, 2*g + 1052 = 2*k. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of w**6\/48 + 5*w**5\/24 - 5*w**4\/8 + 30*w**2. Factor y(n).\nAnswer: 5*n*(n - 1)*(n + 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 14919722 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xiwrrirrrirry. What is prob of sequence rri?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.08531136 to 4 dps.\nAnswer: 0.0853","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 948.0188l in millilitres?\nAnswer: 948018.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16415 and 2593?\nAnswer: 42564095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -19\/5, -5, -5\/24, 3\/2, -61?\nAnswer: -61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2394*g**3 - 22*g**2 + 76*g + 30. Let o be v(23). Suppose -o = -3*d - 162377938. Round d to the nearest one million.\nAnswer: -44000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 9*o**2 - 21*o + 179. What is the tens digit of i(24)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 6 - -4?\nAnswer: a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/4)\/(41\/(-82)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3315005053.\nAnswer: 3315005053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 40, -5, 3, -2\/15 in decreasing order.\nAnswer: 40, 3, -2\/15, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 634819054 to the power of 1\/2, to the nearest integer?\nAnswer: 25196","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = -7*p - 9 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11628)\/(-1995) + 1160\/(-200)?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of -2*v**5\/5 + v**4\/6 + v**3\/6 - v**2 - 3*v + 132. Give k(2).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q**2 - 2. Let z(v) = -v**3 + 4*v**2 - 2. Let d be z(4). Let u be m(d). Solve -p - u = p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(-2) + (20 + -7 - 18).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1.818313ng?\nAnswer: 0.000000001818313","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/(-12)*-16*2*(-1)\/(-2)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from arbaaaii. Give prob of picking 1 i, 1 a, and 1 b.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 2 + 8 = 0. Suppose 2*p - 3*p = 5*f - 18, a*f + 5*p = -2. Suppose -b**2 - 3 + 4*b**3 - 3*b - f*b**5 + 4 + 3*b**3 = 0. What is b?\nAnswer: -1, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by -3050\nAnswer: -4\/1525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -7020000 to the nearest 100000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 - 11*f + 45. Let b be m(-14). Let x be (5\/(-15))\/(b\/(-38)) + -4. Let y = 61 + -125\/2. What is the fourth biggest value in 1\/3, x, y, 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1050 - 698. Let l = 351 - x. Let s = -1.9 - -2. What is the closest to s in -5, 5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 24*r**4*s + 41*r**2*s + 5*r*s + 4116*s wrt r.\nAnswer: 96*r**3*s + 82*r*s + 5*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (154 + -4)*882\/105 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 501191471.\nAnswer: 11, 193, 236077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + i = -63, -5*q - 2*i + 65 + 30 = 0. Suppose -2*u = q + 9. Let l = -1 - u. Calculate the remainder when 35 is divided by l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 + -17.1. What is the closest to h in 0.5, -4\/5, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 626.9134263 rounded to the nearest integer?\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (40\/14)\/(-5) + (-1884)\/(-14). Suppose -3*q + h = 2*b - q, b - 87 = -5*q. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*s + 52*s + 25*s - 7*s.\nAnswer: 55*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -292\/5*i + 1\/5*i**2 + 21316\/5 = 0.\nAnswer: 146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 5:11 AM?\nAnswer: 11:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 7 + ((-23 - -16) + -12 - -46)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -4*s**2 + s**3 + 18 - 13 + 0*s**3 - 2*s. Calculate b(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 79 - 78. What is the closest to 1 in 11\/3, -3\/2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7201 + -7186. Solve 4*b - 10 = -2*m, x*m = 19*m - 2*b + 30 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -165*s + 81*s + 90*s + 2*s**3.\nAnswer: 2*s**3 + 6*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 * -1051735.\nAnswer: -6310410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -186, -471, -972, -1797, -3054, -4851?\n\"Answer: -18*g**3 - 159*g - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 160 and 672?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 776.\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (117 + 80 - 95)*(9 + 1 + 13)*(3 - 2 + 1 + u + (5*u - u - 3*u)*(-5 + 0 + 6) + 2 - 2 + 2*u) to the form f + t*u and give t.\nAnswer: 9384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 - -7. Suppose 7*f = z*f. Let b = 2 - f. What is the greatest common divisor of b and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 5*x + 8. Determine m(-6).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 12:23 AM?\nAnswer: 9:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(2057) + -5)*-3)**2.\nAnswer: -1386*sqrt(17) + 18954","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 5 + 2*k + 0*k - 4. Let r be o(1). Let s(b) = b**3 - 7*b**2 + 6*b + 3. Let j be s(6). Solve -22 - 3 = -5*y - 5*w, r*y - j = w for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 5*d**5\/3 - 5*d**4\/3 - 5*d**3 + 5*d**2\/3 + 10*d\/3 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 71 - 69. Suppose -5*o + 104 = -3*s, -21 = 5*o - s - 129. Calculate the least common multiple of o and l.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1464, -1457, -1450, -1443, -1436, -1429?\n\"Answer: 7*x - 1471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -256092440*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13000 - -23?\nAnswer: 13023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 1 = -1. Let s(y) = -9*y + 4. Let r be s(w). Suppose -6 + r = 4*p. Solve 2*a - 22 = -5*n, -p*a - n + 2 = -6 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3, 3777, -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 + 30*x**2 + 21*x + 168. Determine i(31).\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104*b - 200*b + 29*b.\nAnswer: -67*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m*m**7)\/m**(2\/3)*(m**(2\/3))**(-27))**(1\/13))**(3\/8) assuming m is positive.\nAnswer: m**(-29\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -17962.3 - -0.021\nAnswer: -17962.279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-4 - (-8 - -2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 412735 and 814?\nAnswer: 9080170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 81 * -5.\nAnswer: -405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -15*f**2 - 18. Let a(x) = 7*x**2. What is a(s(k))?\nAnswer: 1575*k**4 + 3780*k**2 + 2268","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 11122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -54942 + 54942.000038147. Round f to seven dps.\nAnswer: 0.0000381","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 832 - 831.8778. Let z = 0.2 - 0.08. Let h = z - d. Round h to 3 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -6\/7, 2\/3, -0.5, -4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 3*m - 1442 = -1429, -2*c - 18 = 4*m for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 37620*q - 120. Let o be x(-24). Round o to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3098309479.\nAnswer: 3098309479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 y when two letters picked without replacement from {d: 3, z: 3, y: 5}.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -75*j - 27. Let o be w(-1). Calculate the highest common divisor of o and 60.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes before 5:35 AM?\nAnswer: 7:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26432 + 449*q + 266*q - 178*q.\nAnswer: 537*q + 26432","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 34a19 (base 15) to base 11\nAnswer: 104a59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(-3)*(2 + 4). Let x be 36\/f + 2\/(-4). Suppose x*s - 18 = 22. Solve z = -4*z + s for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/2 (b) 0.41 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(98) + 2 + -5 + sqrt(98)) - (-1*sqrt(128) + sqrt(128))*2*-1)**2*-4.\nAnswer: -6416 + 1344*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -223 (base 5) to base 2.\nAnswer: -111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4724, 8488, 12238, 15968, 19672, 23344, 26978, 30568?\nAnswer: 34108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1085 - -120.3085. Let k = r + -111. Let z = 9.200101 - k. What is z rounded to 5 decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.01 (b) 0.06 (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 24 = 8*k. Let t = -0.73 + 3.73. Which is the second smallest value? (a) t (b) -3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a century in decades?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 118 - 1452?\nAnswer: -1333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/5444 and 52\/9527?\nAnswer: 38108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 2*n - 12 = 0, -2*g - 24 = -7*g + n. Put 2, g, -1, -5 in descending order.\nAnswer: g, 2, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {x: 5, v: 8, b: 7}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(1\/2)\/y**(1\/2)*(y**(-1))**(-1\/67)*((y*(y*y**(1\/2))\/y)**(7\/9))**36 assuming y is positive.\nAnswer: y**(2815\/67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36 + -23 + 540\/(-20).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1028*b**2 - 524*b**2 - 2*b**3 + 91*b + 15*b**3 - 504*b**2.\nAnswer: 13*b**3 + 91*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 183714 (base 10) in base 12?\nAnswer: 8a396","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2 - f + 2*f + 0. Let d be i(-5). Suppose 0 = -2*m + 3*k, 4*m = 3*m - 5*k + 13. Sort 4, m, d in descending order.\nAnswer: 4, m, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10847517?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -20 - -23. Suppose -2*z + 10 = 0, -x*j = -j + 2*z - 58. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -4719.\nAnswer: 1\/4719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 6*h**3 - 7*h**2 - h**3 + 26 - 19*h**2 - 38. Let k(m) = -10*m**3 + 53*m**2 + 25. Let r(g) = 6*k(g) + 13*t(g). Find the third derivative of r(p) wrt p.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of 5*b**2 + 8. Let z(s) = 14*s - 13. Let g be z(1). Let c be p(g). Solve 0*u - c = 2*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.013 - -0.023. Let c = -8.99 - d. Let l = -9.0000545 - c. What is l rounded to 6 decimal places?\nAnswer: -0.000055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 5*l + 14 + 8 = 0, 2*f - 10 = 2*l for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 10 - 25 = 0. Let u(g) = g**2 + g + 24. Let s be u(0). Let j = s - k. Solve -5*m = -2*m - j for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/9)\/h*h\/((h**(-3\/22)*h)\/h))**(-33) assuming h is positive.\nAnswer: h**(-5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.17191089 to five dps.\nAnswer: 0.17191","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 + 27*x**2.\nAnswer: 27*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 62\/4491 and -2\/193113?\nAnswer: 193113","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-648)\/(-45))\/((-3)\/(-20)). Let s be (-8)\/(-10) + b\/30. Solve -2*g - 18 = -4*k, s*g + 21 = -0*k + 5*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -14. Let z(l) = 12*l + 4. Let s be z(5). Let m be s\/(-10) - 6\/(-15). Let u(d) = -7*d + 6. Let n(f) = -13*f + 11. What is c*u(o) + m*n(o)?\nAnswer: o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 357758 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 10*w + 29. What is j(-5)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.120934 minus 27415?\nAnswer: -27409.879066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2*c**2 - 10*c - 58. Let a be -8*(3\/1 + 516\/(-24)). Let l = -155 + a. Is d(l) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(156)\/(sqrt(12)*-1) - (sqrt(156)\/sqrt(3) + 1).\nAnswer: -3*sqrt(13) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -410 divided by 10?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1420 is divided by 52.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(-15))\/((-64)\/(-12))*2.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -48 - -48.19. Let v = c - 0.09. Let a = 6 - 6.3. Which is smaller: v or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (350\/(-20))\/7*2\/(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 34*i - 261. Calculate s(9).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the first derivative of 1\/6*r**6 - 5*r + 3\/2*r**2 + 0*r**3 - 37\/5*r**5 + 0*r**4 - 4. Find the second derivative of t(g) wrt g.\nAnswer: 20*g**3 - 444*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a gram in milligrams?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -9*b**3 + 7*b**2 + 75*b + 5. Let w(x) = -13*x**3 + 10*x**2 + 112*x + 7. What is -7*l(g) + 5*w(g)?\nAnswer: -2*g**3 + g**2 + 35*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 5*i + 38 = 0, 3*v + 4*i = -0*i - 43. Let b be ((-10)\/(-45) + 38\/v)*-1. Suppose b*o + 1900 = 14*o. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 + 2*h - 27. Let m be (9 + -4 + -17)\/(6 + -8 - 0). Determine p(m).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 24 + -20349a0?\nAnswer: -2034977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 + 64*t + 8626. Give k(130).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 - 19. Sort l, -17, 1.\nAnswer: -17, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 1)*(0 + 0 + 6*t) + (2 + 1 - 1)*(-6*t + 3*t + 2*t)*(-1 + 1 + 3).\nAnswer: -12*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 44.7212 tonnes in micrograms?\nAnswer: 44721200000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1585*b**3 + 2*b**2 - 2*b + 2399.\nAnswer: -4755*b**2 + 4*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7795, 15575, 23355, 31135?\nAnswer: 38915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2735\/7 + -389. Let c = p + -29\/21. Find b such that -b**2 - 1\/3 - c*b**3 - b = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/8, -3, -1, -7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 0 - 5*d + d**2 + 0 + 4. Let n be g(4). What are the prime factors of 3 + (-3)\/(-5 - -2 - n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 - 4*x - 49. Let u be w(9). Let f(d) = d**2 - 7*d + 3. Suppose -2*k + 4*n + 5 = -11, 0 = k - 5*n - 11. Let a be f(k). Sort -2, a, u.\nAnswer: u, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/4 - (-5)\/1. Suppose 5*s - 2*b - 10 = 0, -6 = -3*s - 5*b - 0*b. Suppose -3*a = -s*m - 0*m + 12, a + i = 2*m. Let h(n) = n + 4. Determine h(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 + 3*t**2 + t - 3. Let n(m) = -m**3 - 32*m**2 - 4*m + 2. What is -n(r) - 4*x(r)?\nAnswer: -3*r**3 + 20*r**2 + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - 1 - -7) + 1 + 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 83\/231 at most as big as -3312?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22 - 3. Suppose 0*i + i - 4*a = p, -i + 3*a = -15. Solve -u - 4*l = -i*u + 8, 4 = -4*u - 2*l for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 580.198 - 580. Let n = 354.679 - 355. Let r = j - n. What is r rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6215443\/3 >= 2071814?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/(-21) + 2000\/140. Suppose -g = -6*m + 16. Let i(u) = -6*u. Let q(b) be the first derivative of 9*b**2\/2 - 7. Determine m*q(d) + 7*i(d).\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(6\/5)\/((q\/(q\/(q\/(q\/(q**0\/q)))))\/q))**(2\/17))**(-1\/15))**16 assuming q is positive.\nAnswer: q**(-512\/1275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 14*y**3 + 3*y**2 - 11*y - 8. Let z(g) be the third derivative of -g**6\/24 - g**5\/60 + g**4\/6 + g**3\/2 + 4*g**2. Give 4*v(j) + 11*z(j).\nAnswer: j**3 + j**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -2*t**5\/5 + 22*t**4 - 204*t**3\/5 - 88*t**2 + 848*t\/5 = 0?\nAnswer: -2, 0, 2, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -2 - -4 - (0 + -11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -510*p. Let q(a) = -4038*a - 2. What is q(h(c))?\nAnswer: 2059380*c - 2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 799123.\nAnswer: 13, 61471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -511 = 5*w - 1936. Suppose 3*t - w = 318. Suppose -22 = -v + t. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 245784 and 3441858?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1853135 is divided by 731?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1827\/5 - 3626\/5. Let c = 361 + f. Which is greater: 0.1 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -557, -569, -581, -593?\nAnswer: -605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*g**2 + 38*g**2 + 9*g**2 + 2*g**2 - 6*g**2 + 3*g**2 + (-2*g**2 + 0 + 0)*(3 + 1 + 0) + 240*g - 44*g**2 - 240*g as t + c*g + n*g**2 and give n.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3166 - -3173. Solve 9*b + 6 = v*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -1 + 2 + (60 - 63)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2, 0, -30, -3\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -4 - -3 - (34 - 37).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -30 - -32.5. Let f = 2.3 + h. Let o = f + 0.2. What is the closest to -0.6 in o, 2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 2*g - 45 = 0. Let r be 1\/3*(-9 - g). Differentiate 6*v + 3 - 5*v - r with respect to v.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 PM and 7:31 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 11000100000 (base 2) to base 9\nAnswer: 2132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 20, 1.2, 2 in decreasing order.\nAnswer: 20, 2, 1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -54682*p**2 + 252924*p?\nAnswer: -109364","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of 37*h**4\/6 - h**2\/2 - 2*h + 7. Let p(m) be the first derivative of j(m). Does 20 divide p(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 29 + 467 = y, 3*y = m + 1304. What is the units digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 68.026357 to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -2*y**2 - 2*y - 3. Let j(p) be the first derivative of -p**3 - 5*p**2\/2 - 5*p + 159. What is -3*j(w) + 5*r(w)?\nAnswer: -w**2 + 5*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -32*z - 9. Let r(y) = 26*y + 9. Let m(p) = -4*l(p) - 5*r(p). Let c be 5\/2 - 1\/2. Let h(j) = 0*j + 3 - c*j - 11. Determine 6*h(t) - 5*m(t).\nAnswer: -2*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t + 114113 - 23704 + t + t.\nAnswer: -t + 90409","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 5*h + 2*r, 4*h + 2*r + 3 = 7. Let b be (1\/h)\/(11\/242). What is the highest common divisor of 11 and b?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3\/8 + -17\/24. Let d = -0.523 + 0.323. What is the second biggest value in 1, n, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (9 - 10) + -2 + 4\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28156246.\nAnswer: 2, 31, 73, 6221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -928*n + 1841. Calculate x(2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4424 is divided by 175?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -89*x**3 + 12*x**2 + 27*x + 38. List the prime factors of b(-6).\nAnswer: 2, 19, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -3*s**2. Let g = 35 + -32. Suppose -5*y + 25 = g*j, 5*y + 2*j = j + 25. Let q(k) = -y*k + k - k + k. Give o(q(c)).\nAnswer: -48*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -0*z + 20, 30 = 5*c - 3*z. Suppose -t + c*t = 34. What is the common denominator of (-4)\/t*(-194)\/16 and 125\/18?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1525438?\nAnswer: 2, 179, 4261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4692 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -116305 divided by -23261\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**3 - 3*o**3 + 0*o**3 + 3 - 3 + 2*o**3 + (2 + o**2 - 2)*(5*o + 2*o - 4*o))*(o + 0 + 0) + 989*o**3 - 230*o**4 - 989*o**3.\nAnswer: -226*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*0.1368.\nAnswer: 0.0684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 92898 and 32157.\nAnswer: 836082","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 56276, 112528, 168778, 225026, 281272?\n\"Answer: -c**2 + 56255*c + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -235 = -5*q + 2*o, 3*o + 89 = 5*q - 151. Let f = q - 36. Solve 0 = -3*v + 2*i + i - f, -v + 5*i = -5 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -14*a + 26. List the prime factors of h(-23).\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -3*z - 150353, 134*z - 137*z = r - 30085. What is the hundreds digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - (-8 - -13)) + 0 + 6\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -152603, -152667, -152859, -153245, -153891, -154863?\nAnswer: -156227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -13*u**2 - 3*u + 0 - 11*u + 10 + u**3 + 18*u**2. What is the least common multiple of 7 and q(-7)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13216 and 16500884?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r**3 + 8*r - 5. Let q = -112 - -116. Suppose -b - 5*n = -5, -q*b + 5*n - 30 = -0*n. What are the prime factors of x(b)?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 556 is divided by 141.\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**3 - 9836*t**2 + 227242*t - 217404 = 0. What is t?\nAnswer: -4941, 1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f + 31. Suppose 45*h - 49*h = -d + 71, 0 = 3*d + 15. Determine l(h).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1784\/9 - -198. Let g be (-3)\/(-15) + 18\/60. What is the nearest to -0.01 in i, g, -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3723*l + 12 = 3716*l + 3*h, 4*h = 5*l + 3 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of -82*z**3\/3 + 323. Let d(n) = -n. Calculate d(j(p)).\nAnswer: 82*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 203729 is divided by 3838.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1318?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/400)\/((14\/(-90))\/(238\/(-204))).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vgguuudduvuuvguuda. Give prob of sequence dv.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -49.474*996\nAnswer: -49276.104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 14) to base 13\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*r*s**2 + 6*r*s*x**3 + 88117*r*s*x**2 + 38*s**3*x**3 + 97*s**3*x**2 wrt s?\nAnswer: -8*r + 228*s*x**3 + 582*s*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**4 + 1442*q**3 + 40552*q**2 + 287872*q = 0. What is q?\nAnswer: -692, -16, -13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6 and 13424.\nAnswer: 40272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:29 AM and 9:44 PM?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 6, 153, -8, 3.\nAnswer: -8, -5, 3, 6, 153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -42, -53, -34, 33, 166, 383, 702?\n\"Answer: 3*v**3 - 3*v**2 - 23*v - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1543 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*o - 3*q = -4, 60 - 5 = o + 9*q for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**3\/7 + 76*h**2\/7 + 40*h + 272\/7 = 0. Calculate h.\nAnswer: -34, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*v**2 - 21*v**4 + 2*v - 4*v**2 + 4*v**2 - 4*v**2 - 2 + 0 in the form b*v + k*v**4 + d*v**3 + p + l*v**2 and give k.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 + 10*h - 6. Let t be o(5). Suppose -3 = 4*l - t. Let d(p) = -p + 5. Calculate d(l).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p**3 - p**2 - p - 1. Let o(u) = 14*u**3 + 6*u**2 - 2*u + 6. Let d(r) = -6*n(r) - o(r). Factor d(x).\nAnswer: -2*x*(x - 2)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3296 (b) -2\/11 (c) 1\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.37 - -43720498.\nAnswer: 43720495.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6, -37, -110, -213, -346, -509?\nAnswer: -702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -0*l + 5*l + 107, 4*z + l - 158 = 0. Calculate the greatest common divisor of 117 and z.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2536353, 2536341, 2536315, 2536269, 2536197, 2536093, 2535951?\n\"Answer: -u**3 - u**2 - 2*u + 2536357","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -36*9\/(-144)*(-1)\/(-3)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 469.2, -0.7, -0.4?\nAnswer: 469.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 34\/5159001?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((sqrt(175) + 1)*5)**2 - ((2 + sqrt(1008))*1 + sqrt(1008))**2).\nAnswer: 1820 + 770*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ehef when four letters picked without replacement from feeqrhf?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (15 + -17)*2\/(-14). Let -w*z**2 - 4\/7 + 6\/7*z = 0. Calculate z.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.02189 - -1.97811. Let f = 0.11 + -7.11. Put f, -2, u, -0.4 in ascending order.\nAnswer: f, -2, -0.4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6678 divided by -2226\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-31)\/21 + (-1246)\/(-534)\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u. Let s(m) be the third derivative of m**4\/8 + 22*m**2. Determine r(s(d)).\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**5\/(n\/n**(-17\/2)))**29 assuming n is positive.\nAnswer: n**(-261\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 0*d - 2*d + 208, 0 = -5*y + 3*d + 188. Suppose 4*a + 4*n = y, -4*a - 5*n + 35 = -2*n. Suppose i = -a*i + 312. Does 13 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -0.01 (c) 0 (d) 44 (e) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -11677.4 times 5\nAnswer: -58387","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.1692386 decades?\nAnswer: 1.692386","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8192*i + 7071 wrt i.\nAnswer: -8192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.6 - 616730.95127?\nAnswer: -616727.35127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/(12\/2) + 458. Suppose -s + 228 = -4*v, 2*s + 46 - c = -3*v. What are the prime factors of s?\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and 27.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 + 23*h**2 - 20*h - 44. Let a be p(22). Suppose 82 = n - a*n. What is the greatest common factor of 205 and n?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -345 + 357. What is the greatest common factor of f and 696?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*b + 2*b - 8*b**2 + (-1 + 1 + 2*b)*(-2*b + 4*b - b))*(-3*b + 6*b - 2*b)*(0 - 3*b + 0) in the form a*b**3 + n*b**4 + y*b + s + x*b**2 and give n.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -14*m**2 + m + 2. Let u(j) = 13*j**2 - j - 2. Determine 6*u(o) + 5*z(o).\nAnswer: 8*o**2 - o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 16694 = 2*v, -v - 5568 = -w + 2*w. Let a = w - -55557\/10. Find the common denominator of (-2)\/(-3) - (-19505)\/5922 - (-8)\/(-36) and a.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 0*k = 0. Suppose 0 = 5*j + 4*q - 30, k*j - 2*j - 6 = -2*q. Let o be j\/(2\/2 + 6). Which is the third biggest value? (a) o (b) 4 (c) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1433 - -1441. Put -20, -0.1, r in decreasing order.\nAnswer: r, -0.1, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160658 is divided by 194?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2848*r + 2 - 1625*r - 2 + 0 + 4496*r + 0.\nAnswer: 23*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -0.5, -2379 in decreasing order.\nAnswer: -1\/3, -0.5, -2379","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4\/25 + -59\/100. Let g = 0.04 - -0.06. Let h(i) = -i**3 + 4*i**2 + 4*i + 5. Let r be h(5). What is the closest to r in z, -5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 5*h + 5, -3*q = -2*h + 2 + 1. Let s be 159\/1494 + q\/6. Let o = 158\/1245 + s. Which is smaller: 0 or o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -3. Suppose 0 = 2*t + f - 7, 0*t - p*f - 21 = -t. Let d = 16 - t. What are the prime factors of d?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 662348111 divided by 5.\nAnswer: 662348111\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 2*g - 15 = g, 0 = -t - 4*g - 5. Solve 3*m - 3*u - 37 = 2*u, 31 = 4*m - t*u for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.012005 to 3 dps.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 15410.7945 rounded to the nearest ten?\nAnswer: 15410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/85 or 5203100?\nAnswer: 5203100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 259603 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of 2*p**7\/21 + 2*p**6\/15 - 11*p**5\/5 + 7*p**4\/3 + 20*p**3\/3 - 16*p**2 - 103*p. Let i(c) = 0. Calculate c.\nAnswer: -4, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of -o**4\/4 - 2*o**3 + 4*o - 14. Let d be i(-6). Suppose -2*m + 5123 = -3*z, m + 5118 = 3*m - d*z. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -6*q - 16. Let k be w(-4). What is the highest common divisor of k and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 2, 4\/5, 12, 1\/3?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*s + 433057 = -11*s + 66*s. What is the ten thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 36*t + 1299. Let p be o(-36). Let a = -8 + 20. Suppose 3*n - 2*c = -a, 4*n - c = c - 14. Sort 4, p, n in descending order.\nAnswer: 4, p, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 PM and 11:49 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/7 - 38*j\/7 + 188932\/7.\nAnswer: -2*(j - 298)*(j + 317)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -20.3 (b) 4 (c) -5 (d) 1 (e) -702 (f) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 5*(-4 + sqrt(98) + sqrt(98) + (sqrt(98) - (-3 + sqrt(98) + -3) - sqrt(98)))*-4 + -5.\nAnswer: -140*sqrt(2) - 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1604 + -1601. Solve r*p - 5*m - 2 = -m, 0 = p - m - 1 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3a (base 12) to base 2\nAnswer: -101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*a**3*d - 504*a**3 + 115*a**2*d**4 - 1 wrt d.\nAnswer: 3*a**3 + 460*a**2*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - -1000211030?\nAnswer: 1000211022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-33)*(-1)\/(-3)*-6\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1514051404 to the power of 1\/3, to the nearest integer?\nAnswer: 1148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -13*n**2 - 1914*n - 447. Calculate c(-147).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.721 to the nearest integer.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 71\/5 of a kilogram?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + -3003333?\nAnswer: -3003333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -56, -53, -48, -41, -32, -21?\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**10*n\/((n\/((n\/(n\/(n*n**14*n)))\/n))\/n) assuming n is positive.\nAnswer: n**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1304.99 rounded to the nearest 100?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 259 a factor of 2905450?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 4:47 PM?\nAnswer: 6:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 4*n - 253 + 85, n - 42 = 5*s. Let z = n + -23. Is z a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -255, 5, -6, -2 in descending order.\nAnswer: 5, -2, -6, -255","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10052?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13615898 is divided by 177?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 2 = -3. Suppose -f = c - 0*c, 2*f - 4 = -4*c. Let k(a) = a**2 + a + 1. Let p be k(c). Calculate the greatest common divisor of v and p.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 76283484?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 266 and 114.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 142574034.\nAnswer: 2, 3, 29, 819391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 16 = 4*b, -18 + 0 = -4*k + 2*b. Suppose 4595 = v + k*v. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 260 times 0.8\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -91 - -95. Sort -2, -3, 0, i in descending order.\nAnswer: i, 0, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1382 or 1380?\nAnswer: 1382","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 38*d. Let v(q) = 42232*q**2 + 5. Give m(v(t)).\nAnswer: 1604816*t**2 + 190","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 91 a factor of 208572?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/24 and 109\/168.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83*w = -84*w - 3*v - 3, -w - 4*v = 3. Sort 4, -5, w, -726 in descending order.\nAnswer: 4, w, -5, -726","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 14, -1\/3 in decreasing order.\nAnswer: 14, -1\/3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/1268682 and -50\/171?\nAnswer: 72314874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 87149 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3055745, 3055750, 3055755, 3055760?\nAnswer: 3055765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 4*p + p. Suppose -4*v + 0*x = 5*x - 42, -p*v - 2*x = -35. Suppose 0*u - u + 5*f = v, 3*f = 15. Is u a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20.91 - -2.03.\nAnswer: 22.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 6:22 PM?\nAnswer: 2:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cptmkmkkckktckkqmm. What is prob of picking 2 m and 1 c?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mrmmmmmr. Give prob of picking 3 m and 1 r.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4550 and 60200?\nAnswer: 782600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 43079*a**3 - 2*a**2 + 42981*a**3 - 87395*a**3 to the form n + i*a**3 + v*a**2 + r*a and give i.\nAnswer: -1335","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 4*f - 64 = 0, 1411675*v = 1411667*v - 5*f - 73 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 52500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -627*q - 10. Suppose -7 = a - 4*z, -5*a - 35 = -0*a - 4*z. Is f(a) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -649.\nAnswer: 5\/649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1634952 divided by -272492\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*f = 7*f + 2272. What is the tens digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 101689281?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -3*b - 4. Let m be j(-6). Let z = m - 16. Let g be z\/(-1 - 7)*13. Which is smaller: 2 or g?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 836 and 304.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 4*c**5 - 6*c**4 - 11*c**2 + 6. Let m(h) = 7*h**5 - 13*h**4 - 21*h**2 + 13. Let y(z) = -6*m(z) + 13*p(z). What is the third derivative of y(l) wrt l?\nAnswer: 600*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 28293 and 363?\nAnswer: 3423453","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1010 + -201?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1\/5, -153, -4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 336689 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a century in months?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 + 0*c**2 + 28*c - c**2 - 1 - 26*c. Let d be (-18)\/(-8) - 3\/12. Let n be d*1*(0 - 1). Determine z(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10988.5 + 41949. Let n = -31104.439 + q. Let b = n + 144. What is b rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/6*9*(-3)\/(-252)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 2*o = 0. Suppose o = -4*d + 5*v + 32 - 1, -d = -4*v - 16. Let g(u) = 2 + d + u - 6. Let n(i) = 8*i**2. Give n(g(t)).\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + 2*j - 2*j + (-3 + 5 - 1)*(2*j - 4*j + 3*j) - 2 + j + 2 + 2*j + 4*j - 5*j)*(2 - 4 + 4)*(-12 - 3 + 0).\nAnswer: -30*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**3\/9 - 340*f**2\/9 = 0 for f.\nAnswer: -170, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.3 + 0.4. Let z = 0.1 - q. Let d = -31 - -30.8. What is the nearest to z in -0.4, -0.1, d?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-500)\/(-60)*45\/75)\/(5\/22)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7104167 by 4.\nAnswer: 7104167\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -268 + 264. Put -0.04, 0.1, k, -0.2 in descending order.\nAnswer: 0.1, -0.04, -0.2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(17)*-2*2 - sqrt(17)) - ((sqrt(136)*1)\/sqrt(8) + ((sqrt(153) + -2 + sqrt(153))**2 - sqrt(153)))) + 4.\nAnswer: -610 + 21*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7942866 and 6.\nAnswer: 7942866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 587\/35 + -116\/7. Let f = 5.9 + 4.1. Let j = f - 10. What is the nearest to j in 4, r, 3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 5*t**2 + 8*t. Let d(o) = 18*o - 4. Calculate d(n(v)).\nAnswer: 90*v**2 + 144*v - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 2*g - 2*g**3 + 4 - 4 to v*g**2 + q + k*g + b*g**3 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 472 and 59.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 92 - 69. What is the remainder when 63 is divided by r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -63661 - -2?\nAnswer: -63656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 6*c**2 - 3*c + 2. Give g(2).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -163.59 - 0.41. Let q = u + 163.99999911. What is q rounded to 7 dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (5 + -12)*8\/(-14). Suppose -749 = -2*x + 3*h, 3*x - s*h = -x + 1504. What are the prime factors of x?\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 60 and 6048?\nAnswer: 30240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*i**3*r + 1809*i**2*r**2 - 8*i*r**2 + 110*i wrt i?\nAnswer: -18*i*r + 3618*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) 4 (b) -83 (c) 4\/5 (d) -0.96\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 80.59 * 73\nAnswer: 5883.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (30\/9)\/((-6)\/225). Let n = y - -225. Let s = n - 71. Is s a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 56.6 to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 368446 is divided by 46051?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 537208 is divided by 80?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 (base 16) in base 10?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -12 - (3 - 10).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 PM and 12:19 AM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19891199*d**4 + 2*d**3 + 1211*d**2 - 4823*d.\nAnswer: -477388776*d + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (2904\/32)\/(9*1) and 3 - ((-620)\/(-72))\/5?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -6*w**3 + 2*w**2 + w. Let t(u) be the second derivative of -1\/3*u**3 + u - 5\/12*u**4 + 0 + 0*u**2 + 13\/20*u**5. Determine -9*c(o) - 4*t(o).\nAnswer: 2*o**3 + 2*o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 740863162.\nAnswer: 2, 13, 17, 19, 47, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -60670180 by 12134036.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.2 and 1.541.\nAnswer: 1.741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 605 = o + 4*o, 5*y - 4*o = -1430. Round y to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -117.36 less than 0.09?\nAnswer: 117.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9.2 < 64.382?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3830202?\nAnswer: 2, 3, 17, 12517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-16 + (-108)\/(-36)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-26)\/(-38)*2235\/87165\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 18 = -3*q + 2, q = w. Does 5 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 0*i + 3*i - 4*i. Let d(t) = 2*t**2 + 31*t. Let f(w) = w**2 + 17*w. Let m(o) = -4*d(o) + 7*f(o). Give -m(b) + 5*v(b).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes before 8:04 AM?\nAnswer: 3:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 634322 (base 8) to base 11.\nAnswer: 134709","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.408 and -5.\nAnswer: -17.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 - 46*l**2 + 4941*l + 292. Calculate v(51).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of -28*o**5\/5 + 5*o**3 + 27. What is the third derivative of g(x) wrt x?\nAnswer: -672*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c - 259 - 137 = 0. Suppose 4*w - 20 = -x, 2 = -5*w + 3*x + c. Calculate the smallest common multiple of 144 and w.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -3*k**2 + 1879*k - 14923. Calculate y(8).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2*v + 0)*(-105*v + 432 - 432) as u*v + b + a*v**2 and give a.\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*x**2 - 464060*x + 23190500.\nAnswer: 5*(x - 92762)*(x - 50)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/144 and 125\/286704.\nAnswer: 286704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93177 is divided by 92321?\nAnswer: 856","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2056 and 13621.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/2 of a millennium in years?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7\/(7\/(-524))*3\/(-66). Let n = d + -24. Find the common denominator of n and 47\/14.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -16473598 or -16473609?\nAnswer: -16473598","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*g - 4*g + g)*(0*g + 2*g + 1 - g) in the form u*g + w + v*g**2 and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 35\/1 - ((-32)\/18 - (-28)\/(-126)). Solve 42 = 43*g - a*g for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 + 2*b - 4. Suppose u = -f - 4 + 2, 4*f - 2*u + 2 = 0. Let l(j) = j + 1. Let c(d) = f*i(d) - 4*l(d). Solve c(n) = 0 for n.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1054408 and 6326448.\nAnswer: 6326448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3830609340?\nAnswer: 2, 3, 5, 347, 20443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 988*a - 275111*a**2 + 735*a + 273688*a**2 wrt a?\nAnswer: -2846","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 195378 a multiple of 191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 90\/(-9)*4\/(-10). Let z be -185*2\/(-45) - g\/18. Solve 0 = 11*w - z*w - 6 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -696, -2836, -6444, -11520, -18064, -26076, -35556?\nAnswer: -46504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2805 and 2585.9?\nAnswer: -7253449.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 - 10*h**2 + 12. Calculate l(-10).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 117420 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f*(f*f**(-3\/11))\/f)\/f**(1\/5))**(12\/5) assuming f is positive.\nAnswer: f**(1008\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -17344 + 0?\nAnswer: -17344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of -a**6\/3 + 4*a**5\/5 + 3*a**4\/2 - 13. Let w(u) = 0. What is u?\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 291637 (base 11) to base 5.\nAnswer: 104042333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1186586?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*k + 40 = -15*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153 is divided by 58.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3904?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-252)\/(-2646) - 58\/21?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*t + 51*t - 340 = 77*t for t.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -417 - -419.99. Let k = -2.99 + 3. Let n = k + i. Which is the biggest value? (a) -0.3 (b) n (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1412326 and 884?\nAnswer: 36720476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -k - 4, -2*w - 4*k + 8 = 2*w. Let i(j) = -j**2 + 5*j. Give i(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5546?\nAnswer: 2, 47, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.08 (b) 2 (c) -59 (d) -4 (e) 1 (f) -2\/11 (g) -2\/19\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.9 and 3.26.\nAnswer: 12.714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.02213, -1\/2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 2*q + q + 4, 0 = -q. Let u be m\/(-2) + (1120\/(-144) - -10). Factor -4\/9*c - u*c**2 + 2\/3.\nAnswer: -2*(c - 1)*(c + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187) - (sqrt(187) + 5*(sqrt(187) + (sqrt(187) - (sqrt(187) - (-2*sqrt(187) - sqrt(187))) - sqrt(187)))))\/(sqrt(33)\/sqrt(3)*5).\nAnswer: 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-4)\/10)\/((-6)\/(-60)). Let r(f) be the second derivative of f**5\/20 + f**4\/6 - 5*f**3\/6 + 3*f**2\/2 + 2*f. Give r(p).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from {n: 7, k: 2, z: 5}.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 0 - 3 + (-3 + 2 - 1)*(5 - 3 + 0))*(-h + h + 2*h) in the form u + v*h and give v.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 3, y: 7}. What is prob of sequence yuyu?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4\/5 (b) -1 (c) 2 (d) 5 (e) 2147\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1875400\/271 or 6921?\nAnswer: 6921","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 970 is divided by 81.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v - 3 = -a - 3*v, -2 = 2*a - 2*v. Let h = 2 + a. What is the closest to -0.1 in h, 3\/2, -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (51\/(-18))\/(19\/(-912)). Calculate the greatest common divisor of y and 153.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21416291?\nAnswer: 13, 1647407","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 + 6)*(0 - 1). Let d(f) = -9*f + 15*f + 2 - 5*f. Let r(h) = h + 3. Let n = -9 + 11. Give n*r(v) + x*d(v).\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 125545 (base 6) to base 16.\nAnswer: 2d89","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5708568 divided by -3?\nAnswer: 1902856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rcrcrcr. What is prob of sequence cc?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 406*m**2 - 2840*m - 14.\nAnswer: 2*(m - 7)*(203*m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 n, and 2 j when four letters picked without replacement from {n: 6, e: 2, v: 1, j: 3, z: 2, h: 2}?\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Put 2, -15, 1326 in increasing order.\nAnswer: -15, 2, 1326","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 10*u - 14*u = -1820, -3*f + 2722 = 4*u. What is the greatest common factor of 82 and f?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1001263652 to the nearest integer?\nAnswer: 31643","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 301 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -2, -6\/17, -0.14, 2 in ascending order.\nAnswer: -2, -0.4, -6\/17, -0.14, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -6*m**2 + 8211*m - 5630688. Let h(l) = 13*l**2 - 16419*l + 11261372. Let d(r) = 3*h(r) + 7*w(r). What is p in d(p) = 0?\nAnswer: 1370","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*g**3 - 3*g**3 + 2*g**3.\nAnswer: -7*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = 5*w + 4*i, -9705*i = -w - 9706*i - 7 for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -119.9715 to the nearest 10.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -9 + 9 + 0 + -3 + 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 6*c - 27. Determine o(7).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/8)\/(10 - (-360492)\/(-36048)). Let k = -746 + t. Solve -b - k = -4 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -1\/3, -1\/9, -2\/9, 7 in ascending order.\nAnswer: -0.4, -1\/3, -2\/9, -1\/9, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35134 = 9*d - 17003. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of 0*i**4 - i**2 + 1\/5*i**5 + 65 + 0*i - i**3. Solve u(s) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 778 is divided by 73?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2280 and 1706640.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n + 270*r + 17 = 273*r, -4*n - 15 = -r for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.1350049 - 0.135. Round k to six dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*l + 35*l - 6*l - 3 + 15*l.\nAnswer: 53*l - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11 + 1378590?\nAnswer: 1378601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26 + 2*i + 26 - 5*i.\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d. Let z(f) = -6*f**2 - 268*f + 7. Calculate q(z(p)).\nAnswer: -12*p**2 - 536*p + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(133)*6 - (sqrt(133) + sqrt(133) + sqrt(133)*-3*2 + sqrt(133)))\/(((-2*sqrt(385))\/sqrt(11) + sqrt(35))\/(sqrt(500)*2)))**2.\nAnswer: 3351600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(65)\/((sqrt(275)\/sqrt(5))\/sqrt(11)) + (-4*-4*sqrt(13))**2*-5).\nAnswer: -6*sqrt(13) + 99840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15420 is divided by 85?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -165978 divided by -18?\nAnswer: 9221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the first derivative of 75\/2*f**2 + f**3 + 72*f + 266. Suppose l(k) = 0. What is k?\nAnswer: -24, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/((-4)\/((-60)\/3)). Find the second derivative of o**5 + o - 4*o + 3*o**w wrt o.\nAnswer: 80*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4639 is divided by 1157.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -154*y + 2315. Let j be s(15). Let i = -10 - -15. Let r be (-4)\/3*(-15)\/2. Solve -i*m + j - r = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -1412*d - 617131. What is q(-437)?\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*n + 3*l - 6, -3*l = n - 12. Suppose n = 7*c - 5 - 23. Does 3 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the second derivative of 7*a**3\/6 - a**2 + 1377*a. Let m(l) = -7*l + 2. Determine -4*k(w) - 3*m(w).\nAnswer: -7*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -2*x - 9113 + 3322, -l - x + 1154 = 0. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13)\/(312\/12))\/((-5)\/36)*5.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -75653, -75633, -75613, -75593, -75573, -75553?\n\"Answer: 20*w - 75673","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-240)\/(-56) + (-8)\/28. Sort f, 1, 152 in descending order.\nAnswer: 152, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 147 - 3*h**2 - 147. Let s(l) be the third derivative of 0*l + 0*l**4 + 0*l**3 + 1\/30*l**5 + 0 - 10*l**2. What is q(s(a))?\nAnswer: -12*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 26489 is divided by 1628.\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 + 19 - (5 - 10 - (31 - -4)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 167*a - 66. Is h(14) a multiple of 71?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 66367, 66366, 66361, 66352?\nAnswer: 66339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -11*b. Let r(l) = -15*l**2 + 20. Determine j(r(c)).\nAnswer: 165*c**2 - 220","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 21*a. Let k(s) = 5*s. Calculate k(h(f)).\nAnswer: 105*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4226?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 3*m**4 + 5832*m**3 - 1496595*m**2 + 86504400*m + 470664000 = 0?\nAnswer: -2179, -5, 120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*s**2 - 94*s**2 + 29*s**2 - 94*s**2.\nAnswer: -121*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 1022?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(13)*1)**2 + (sqrt(91)*-6 + sqrt(91))\/sqrt(7) + -3 + sqrt(104)\/(sqrt(648)*4).\nAnswer: -179*sqrt(13)\/36 + 114","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1347.\nAnswer: 3, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 1240.2 to the nearest one hundred.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 26931 and 774123.\nAnswer: 36383781","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-20108)\/(-60) - 4\/30. Suppose -6*f + a = -271. Let q(i) = -201 - i + f + 100. Let z(m) = 4*m**2. Calculate z(q(t)).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 1:47 PM?\nAnswer: 8:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1587, 15, -4 in increasing order.\nAnswer: -1587, -4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*r**2 + 126*r + 1 + 166*r - 465*r + 119*r as c*r**2 + a*r + j and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 1621*p**2 + 1090*p**2 - 1536*p**2 - 5.\nAnswer: -2067*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jcjjccjjjjjjjjjcjjc. Give prob of sequence jc.\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-9)\/81)\/(2*24\/(-18576))?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 154 + 14*f**3 - 303 + 149.\nAnswer: 14*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.3+0.637675\nAnswer: 0.337675","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 + 8 + (23 - 15)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22366002, 22365998, 22365996, 22365996, 22365998, 22366002?\nAnswer: 22366008","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g - 75 = 4*g. Let z(a) = g - 15 + a. Let d(t) = -t**2 + 2*t**2 - 3*t**2. Calculate d(z(v)).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 20 = j + 4*y, -5*j - 4*y + 72 = 0. Suppose -g + j = g. Suppose 0 = -u + g*u - 195. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 11, p: 3}. Give prob of picking 4 u.\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ubhrbuburjr. Give prob of picking 1 b and 1 u.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2507983 days in hours?\nAnswer: 6.0191592","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 157905 and 71632?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24 - 1) + (-8 - (35 - 99)).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.27985296 + -6.1?\nAnswer: -6.37985296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -237904, -476463, -715022?\nAnswer: -953581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/56 and -73\/10359680?\nAnswer: 72517760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 74.85 - 74.92. What is the second biggest value in 5, 48, r, -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3503 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 505703 is divided by 293.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 194*a**2*n**3 + 3*a**2*n**2*u - a**2*n*u - 14*a*n**3*u - 8*a*n*u + 2*a*n + 13*n**2 wrt n.\nAnswer: 1164*a**2 - 84*a*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.388438ug to nanograms.\nAnswer: 9388.438","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 1 = -2, 2*k + 18 = -2*y. Let b(t) = -t - 1. What is b(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 5*k = -133, 5*u - 3*k - 155 = -8*k. Calculate the greatest common divisor of u and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*q**3 + 4*q**5 + 8*q**2 - 8*q**4 + 122*q - 4*q**3 - 122*q.\nAnswer: 4*q**2*(q - 2)*(q - 1)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of -l**6\/1080 + l**5\/360 + l**4\/12 - 7*l**3\/6 + 37*l. Let x(q) be the second derivative of s(q). Factor x(n).\nAnswer: -(n - 3)*(n + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001139 to four decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k + k + 10 + k. What is the remainder when w(13) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/(-10)*(251175\/(-2754))\/197?\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2\/9 (b) 2 (c) 8575 (d) -76 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (32*y**3 + 46 - 46)*(0 + 0 - 8*y**2) - y**5 + y**5 - y**5 - 4*y**5 + 4*y**5 - y**5.\nAnswer: -258*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (64\/20)\/(((-21)\/30)\/(-7)). Suppose 0 = 35*m - v*m - 27. What is the lowest common multiple of 99 and m?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - -1) + -3 - -2. Suppose -288 = -4*t - h*t. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 PM and 4:59 PM?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3110*x + 2540*x + 76643 = 321*x - 317703 for x.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add -24455 and -201.\nAnswer: -24656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*d**4 + 4*d**4 - 2*d**4)*(-18 + 7 - 5)*(2 + 0 - 3) + 2*d**4 + 2 - 2 to f*d**3 + k*d**4 + y + m*d + v*d**2 and give k.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, 14.2, 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5196379*o**5 + 69056576*o**2.\nAnswer: -311782740*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.59027 bigger than 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 892 - -523.\nAnswer: 1415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -23 - (2 - (2 + 2)). Let c = t - -1. Let b = c - -18. What is the second smallest value in b, -0.2, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -106666, -106665, -106664, -106663?\n\"Answer: f - 106667","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 + 4. Suppose 0 = 3*y - 4*y + 4. Suppose -4*g - 28 = 4*m, -m + 6 = -y*g - 2. Sort m, v, 2.\nAnswer: m, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 8*n**2 - 97*n - 83. Let l be j(13). Put l, -7, 5 in descending order.\nAnswer: l, 5, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -37057*h**2*v - 236*h**2 - 11866967*v wrt h?\nAnswer: -74114*h*v - 472*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 719152326?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (5845\/(-7))\/1*-9 a multiple of 124?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jm when two letters picked without replacement from myyyyyyyjhyyyj.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 21*f + 0 - 45*f + 1 + 23*f. Let b(r) = 3*r - 7. Suppose -5*g + 9 = -q, 3*g - 2 = g. What is q*u(i) - b(i)?\nAnswer: i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, -3, 0.344?\nAnswer: 0.344","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 2*g - 48 = 0, 4*k - 37 - 15 = g. Is 11 a factor of (-2)\/k - 1544\/(-28)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}