diff --git "a/data/dm_maths/full_data/11037_11255.jsonl" "b/data/dm_maths/full_data/11037_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data/11037_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is (99\/((-5544)\/160))\/((-5)\/14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2192, 4383, 6574, 8765, 10956?\n\"Answer: 2191*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 14 - 5. Suppose -4*u = -4*y + 396, -2*y - r*u + 154 = -54. Suppose 0 = 4*l - y + 33. Calculate the remainder when 65 is divided by l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1359?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 9014\nAnswer: -3\/9014","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 36\/42*(36\/(-198) - 312\/(-22))\/1\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 10*g + 289. Calculate the remainder when p(-3) is divided by 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 + (-6)\/(6 - 12) + (-18 - -3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 i when three letters picked without replacement from {k: 3, i: 2, z: 3, d: 1, e: 1, m: 1}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of m**3 + 387*m**4 - m**3 - 198 - 4*m**2 - 81*m**4 wrt m.\nAnswer: 7344*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 77 - 67. Put -1, -3, 5, p in increasing order.\nAnswer: -3, -1, 5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7+0.88\nAnswer: 7.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = 3*m + 1360, 7*m - 3*m + 1804 = -4*y. Let b = -195 - m. List the prime factors of b.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6878 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 AM and 10:32 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 0.016 (b) -3 (c) -38 (d) 0.007\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 78792 and 174468?\nAnswer: 2442552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 + -5 - 2) + (871 - 918).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.7 times -0.1?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*a - 16 = 26*a. Let j(g) = -g**2 + 12*g + 65. Let i be j(a). Sort 4, i, 14.\nAnswer: i, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.1297 + -6.1297. What is the third biggest value in 0, 0.157, -2\/15, 3, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 560902883 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1080 - 1080.000024665. Round j to seven decimal places.\nAnswer: -0.0000247","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12034074 a multiple of 106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 > 587?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Total of -42742 and 5.\nAnswer: -42737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*a**2 - 4*a**2 + 0*a**2 + 0*a**2 + 2*a**2.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 2 a when four letters picked without replacement from {a: 2, x: 7}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -866309876*d**2*l + 410618546*l wrt d.\nAnswer: -1732619752*d*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s - 37 = 8*s. List the prime factors of s.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 212849237 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 1, 0, -4 in descending order.\nAnswer: 1, 0, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 9:26 AM?\nAnswer: 6:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -3*n**3 + 4*n**2 - n**3 + 2*n**3 + 7. Let r(l) = -2*l**3 + 3*l**2 + 6. Let y = 6 + 1. Let c = 12 - y. What is c*d(g) - 6*r(g)?\nAnswer: 2*g**3 + 2*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 68558227 is divided by 328.\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -67.2 + 67. Which is the third smallest value? (a) -4 (b) -14 (c) 0.5 (d) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 106625 and 125.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 201\/13 - 4111\/260. Let f(b) = b + 3. Let h = -10 + 8. Let m be f(h). Which is smaller: m or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 - 7*o**2 - 2*o + 4. Let f be (-6)\/(2 + 1)*70\/20. Give y(f).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 - 11*w + 1. Determine v(11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2 (b) 1.99 (c) -3 (d) -55 (e) -15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u - 3*u + u)*(5*u - 3*u - u) - 1 + 1 - 2*u**2 + 4*u**2 + 0*u**2 - u**2 - 19265*u**2 + 24 + 19272*u**2 + 18.\nAnswer: 9*u**2 + 42","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -38*t + 112. Let l(k) = 32*k - 113. Give -5*g(q) - 6*l(q).\nAnswer: -2*q + 118","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 + 14*z - 41. Calculate j(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -623234 divided by 1?\nAnswer: -623234","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/820 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2202122 - -10?\nAnswer: 2202202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*l - 10495 + 10495.\nAnswer: 26*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*t**4\/5 + 421386*t**3\/5 - 8847843*t**2\/5 + 1685292*t = 0. What is t?\nAnswer: 0, 1, 20, 140441","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 1\/7, -0.3?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 35, 2\/7, 1.04, -152, 4\/15 in increasing order.\nAnswer: -152, 4\/15, 2\/7, 1.04, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, -538, -1915, -4586, -8983, -15538, -24683?\nAnswer: -36850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:09 PM and 2:08 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 480 and 168?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3*(-1)\/44*(-210)\/245*(-126)\/(-27)\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -1. Let p = 1 - 0.9. Which is the third smallest value? (a) p (b) z (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 991*m - 5213. Calculate f(5).\nAnswer: -258","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y**2. Let h = 39 + -31. Let l(d) = h + 8 - 16 + 16*d. Determine l(u(c)).\nAnswer: 32*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27749534?\nAnswer: 2, 43, 322669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -77 (base 13) to base 11.\nAnswer: -8a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3*166\nAnswer: -498","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/9 + 14\/6. Solve 3*w = 4*w + g for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d = 2*m - 1891 + 1909, m = -4*d + 46 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*u + 2*u**2 + 95*u**2 + 90*u**2 + 6*u.\nAnswer: 187*u**2 - 37*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000496693825 to 7 dps.\nAnswer: 0.0000497","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of -336*i**5\/5 - 3*i**2\/2 + 29*i + 223. What is the second derivative of z(a) wrt a?\nAnswer: -4032*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 PM and 1:59 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*98\/42*6\/(-14)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 AM and 5:50 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(7\/4)\/(h*h\/(h*h\/(h*h**2))*h*h))\/(h**(-2\/7)*h*h*(h\/h**(-2\/3))\/h))**(-9\/7) assuming h is positive.\nAnswer: h**(1419\/196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78 - 184 + 2*s**3 - 235 - 275 - 147.\nAnswer: 2*s**3 - 919","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of l**4*s**3 + 116*l**4*s + 2*l**3*s**3 - l**2*s + l*s**3 - l*s**2 wrt l.\nAnswer: 24*l*s**3 + 2784*l*s + 12*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 15042 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 w, and 1 j when three letters picked without replacement from wdijl?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2*-0.06082.\nAnswer: 0.012164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -243 + 435. Let p = y - 191.8. Let a = 111\/170 - -5\/34. Sort -3, p, -2, a in descending order.\nAnswer: a, p, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 (base 10) in base 14?\nAnswer: dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3922 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10692?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.08 + -448639674.956.\nAnswer: -448639674.876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 - 15*n**2 + 50*n + 23. What is the hundreds digit of s(-22)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011011000 (base 2) in base 16?\nAnswer: -2d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 PM and 6:17 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 6*p - 3*x = -785, 3*p = -3*x + 1185. Let u = -2004\/5 + p. What is the second biggest value in -3, u, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 78\/(-15))\/((-163)\/(-815)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrzr when four letters picked without replacement from {r: 5, i: 8, z: 7}?\nAnswer: 7\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4136, -17194, -38944, -69386, -108520, -156346, -212864?\nAnswer: -278074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5591*h**3*x**2 - 4*h**3*x + 4*h**3 + 2*h**2*x**2 - 19*h*x + 4*h wrt x.\nAnswer: 11182*h**3 + 4*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x - n + 44, 0 = 3*x - 2*n + 6*n - 40. Let a = 4 + x. Let p = -1101 - -1125. What is the greatest common factor of a and p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 50 - 39. Solve -3*v + 8 = 4*a - 11, 3*v - 4*a - c = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, b: 1, x: 6, a: 2, y: 5}. Give prob of sequence boxy.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-28)\/(-21))\/((-2)\/(-495)). Suppose a = -2*v + 170, 3*a - 6*a = -4*v + q. What is the greatest common divisor of 12 and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 5*a + 1. Let o be z(-1). Let f(d) = d**3 + 7*d**2 + 4*d + 1. Does 9 divide f(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.7453 + 1.914. Round o to 2 decimal places.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 - 3*c**2 - 2*c + 2. Let m be j(-4). Let v be 2\/11 - m\/22. What is the third smallest value in 2\/7, v, -0.5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1711964779\/729660 + 1\/182415. Let p = -2359 - v. Calculate the common denominator of p and -33\/14.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5, -2, 1\/4, -25.98, -2\/401?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -94, -98, -114, -148, -206, -294, -418?\nAnswer: -584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1784744 a multiple of 524?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xer when three letters picked without replacement from exireejiiilijrliler?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (36\/192)\/(-1 + 4\/8)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 3 = 0, -3 = -3*j - 3*s + 6. Suppose -4*b - n + j*n + 19 = 0, 4*n - 8 = b. Let z be (b + (184 - 3))*-6. Round z to the nearest 100.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-15)\/(-6))\/(2\/60). Suppose -5*z + 8*z - m = 0. List the prime factors of z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157083068 a multiple of 1306?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2221 (base 6) in base 12?\nAnswer: -371","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 18*b + 97. Let s be k(-5). Let q(f) = -s - 6*f + 2 + 5 - 1 - 1. Calculate q(-2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-9 + 4) - 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15*b**5*x**3 - 13*b**5 - 4*b**2*x**2 + 2*b*x**3 wrt b.\nAnswer: -900*b**2*x**3 - 780*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 37 + -38. Let p = 222 - 222.33. Is p at least as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**2*(o**(1\/4)\/o)\/o*(o*o**(1\/2))**(-45) assuming o is positive.\nAnswer: o**(-269\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 0 + 3 + 3 - 2*z**3 + z**2 - 2*z to j*z + d*z**3 + h*z**2 + l and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 11983 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 0)*(0*n**4 + n**4 - 4*n**4) - 2*n**4 - 8*n**4 + 6*n**4 + 3*n**4 + 7*n**4 + 43*n**4.\nAnswer: 46*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71634?\nAnswer: 2, 3, 11939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -46*u**3 - 17*u**2 - u + 3. What is s(1)?\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 204 divide 655512?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 274 = -k - 281, -3*k + 21 = 2*i for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 338, 353, 386, 443, 530?\nAnswer: 653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -2, -0.67024 in decreasing order.\nAnswer: -0.4, -0.67024, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 take away 0.329?\nAnswer: -0.829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*q**2 - 5505*q - 1100.\nAnswer: -5*(q + 220)*(5*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 333, -0.1, 0.6, 17, 7 in decreasing order.\nAnswer: 333, 17, 7, 0.6, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p**3 - 8*p - 9*p + 29*p - 12*p.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 - k. Let s(r) = 2*r**3 + 3*r**2 - 4*r. Let i(n) = -s(n) + 3*y(n). Let c be i(3). Suppose -c*g + g = -194. Is 19 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3369 = -75*x + 3669. What is the greatest common divisor of x and 1516?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 946 divided by 38\nAnswer: 473\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 4 = -4*x, -5*r + 10 = -6*x + 3*x. Solve -r = 2*s + 8 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, 1, -13790, -4 in increasing order.\nAnswer: -13790, -4, 1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 + 45*q - 2049. Calculate r(-75).\nAnswer: 201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + -8. Suppose o = -5*q - 3*y + 254, -2*q - 2*y = -5*y - 110. Suppose 5*n - q = n. Is n a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the first derivative of 5*a**3\/3 - 6*a - 6. Differentiate v(y) with respect to y.\nAnswer: 10*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.1 - -1.8. Let k = -25 - -51\/2. Put -2, k, f in descending order.\nAnswer: k, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwgwgwwgggw. Give prob of picking 4 w.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 8*t**2 + 7 + t**2 - 5*t**2 - 6*t. What is the units digit of a(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1963 and 9138067.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7162.509mg in kilograms?\nAnswer: 0.007162509","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -168 not equal to -333\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does -37 = 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes after 8:02 AM?\nAnswer: 3:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 27856\/25 greater than or equal to 1114?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-3*sqrt(275)*-2 + 3*(-1 + sqrt(275)) - (5 + sqrt(275) + 0)*6))**2 + -4 + -4.\nAnswer: -990*sqrt(11) + 3556","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -179*l**3 + 530*l**2 + 17*l + 11. Give h(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*k = 33*k + 48. What is the remainder when 45 is divided by k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**2 + 1 - 1)*(17 - 9 - 9 + 57*m**2).\nAnswer: 114*m**4 - 2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20207194.\nAnswer: 2, 7, 337, 4283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13*80\/(-312)*-8*(-3)\/60.\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 3\/296 (b) 1\/3 (c) 2 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -68160 by -4.\nAnswer: 17040","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 p and 1 t when four letters picked without replacement from ptpptppxpppxttpx?\nAnswer: 12\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(6*sqrt(38)\/sqrt(2) - (sqrt(19) + (sqrt(19) - sqrt(38)\/sqrt(2)) + 3) - sqrt(171)\/(sqrt(9) - sqrt(225)*3)*-6).\nAnswer: -15 + 160*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -132, -7, 4, 399 in descending order.\nAnswer: 399, 9, 4, -7, -132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 32172, 64342, 96512?\n\"Answer: 32170*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 494051?\nAnswer: 494051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28, -37, -48, -61, -76?\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 43\/(-86)*(-2128)\/(-280).\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1971 is divided by 15.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2393 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 - 10*l**2 - 19*l + 23. Let h be -5 - 13\/((-78)\/(-36)). List the prime factors of k(h).\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -23\/7 (b) 46 (c) 2 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 31 + -3. Suppose 0 = j - 5*j + 60. What is the remainder when y is divided by j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*l - 0*l + 16*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-39)\/(-12) + 1\/(-4). Suppose -m*a + 33 = -0*a. List the prime factors of a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*q - 15774 = -23*q. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 22 = 4*z, -8*x + z + 15 = -3*x. Which is the third biggest value? (a) -3 (b) 21 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -4*a + 9. Does 7 divide v(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - j - 17, -4*w = 2*j - 1 - 7. Suppose -2*p + 0*p = 4. Let v be -2 + 6 + p + 0. Solve -v*a - 3*a - 3*d - 25 = 0, w*a - 4*d = 14 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 97700?\nAnswer: 2, 5, 977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3\/6 + 30*q**2 - 181*q\/6.\nAnswer: q*(q - 1)*(q + 181)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the third derivative of z**8\/3696 - 2*z**7\/165 + 32*z**6\/165 - 128*z**5\/165 - 512*z**4\/33 + 8192*z**3\/33 + 1657*z**2. Factor v(y).\nAnswer: (y - 8)**4*(y + 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y. Let x(f) = 2*f. Let u(v) = 11*c(v) + 6*x(v). Suppose 4*p + 0 = 12. Let z(s) be the second derivative of s**3\/6 + 5*s. Give p*z(k) - 2*u(k).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 30324203 (base 5) in base 16?\nAnswer: 3bf31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0 and -3205214.\nAnswer: -3205214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6678*j**2 + 8508*j**2 + 6402*j**2)*(-3*j**2 - 2*j**2 + 3*j**2).\nAnswer: -16464*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/23)*g)\/(g*(g\/(g\/(g**2\/g)))\/g*g*g))\/(g\/(g**(2\/21)*g))**(10\/3) assuming g is positive.\nAnswer: g**(-2564\/1449)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -11*r + 24*r - 10*r. Let z(i) = -2*i. Let h(b) = -b. Let w(l) = -3*h(l) + 2*z(l). Calculate u(w(p)).\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 15\/((-18)\/15 + 1). Suppose 0 = u - 2, -2*l - l - u = -452. Let c = x + l. Is c a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3\/7 + 40*r**2\/7.\nAnswer: -2*r**2*(r - 20)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 + n - 1. Let c(k) = 26*k**3 + 4*k + 17. Let h(t) = c(t) - 2*f(t). Find the second derivative of h(m) wrt m.\nAnswer: 168*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**4\/3 + 28*w**3\/3 - 136*w**2\/3 + 260*w\/3 - 50 = 0. Calculate w.\nAnswer: 1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122 is divided by 42.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + 1 + 2*(1 + sqrt(1300) + (sqrt(1300)*1*-5)**2 + 2*sqrt(1300) + -3).\nAnswer: 60*sqrt(13) + 65002","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 488\/4025 - 6\/175. Let q = -5.11 + 0.81. Let s = -3.3 - q. Which is the second smallest value? (a) 2\/7 (b) o (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11311\/7 + 1615. Which is the nearest to -0.1? (a) 5 (b) f (c) -1 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (172\/462 + (-692)\/3633)\/(4\/330)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(2\/7))**(-5)\/((j\/(j\/(j*j**(-5))*j))\/(j\/j**(-4))))\/((j**(-1\/9)\/j**(-4\/7))\/(j**(-1))**46) assuming j is positive.\nAnswer: j**(-341\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 109*a**2 + 11 + 3*a - 4*a.\nAnswer: 109*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 3*y = -11 - 0, -y = 5*o + 23. Let d(p) = 23*p + 21. Let i be d(o). Let v = i - -226. Does 29 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o + 14. Let d(p) = 4*p + 1. Let u be d(1). Suppose 23 = -u*g - 22. Let s be h(g). Which is the smallest value? (a) 4 (b) 2\/15 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4648545 divided by 7\nAnswer: 4648545\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 505499.7 micrometers to nanometers.\nAnswer: 505499700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 27\/2 of a year?\nAnswer: 162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w. Let v = 92 + -92. Let g(b) be the second derivative of b - 1\/2*b**3 + 0*b**2 + v. Determine f(g(l)).\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8 + -1098982?\nAnswer: -1098990","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a**3 - 4*a**2 + 5*a - 1. Let n(h) = h**3 + 5*h**2 - 5*h + 1. Let m(b) = 3*n(b) + 2*o(b). Let g be m(6). Solve 0 = -g*u + 3*u - 4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -49, -14, 22, 4, -5, -4.\nAnswer: -49, -14, -5, -4, 4, 5, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -5*f**2 + 111*f + 1073. What is v(-11)?\nAnswer: -753","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -63729\/4 or -15932?\nAnswer: -63729\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/(-2))\/1 - 1. Suppose m = -5*c + 20. Solve c*h = -2*a - 0*a + 28, -3*a = -12 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -72.33 rounded to the nearest integer?\nAnswer: -72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 37\/10 and 95\/19129606.\nAnswer: 95648030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**2 + 2. Let q be d(0). Suppose -u - 4*r - 245 = -q*u, 0 = 3*u + r - 774. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -4*s**2 + 5347*s + 16078. Give m(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**2 - 5*k**2 - 2*k**2)*(-k + 2*k + 13 - 15).\nAnswer: -6*k**3 + 12*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 6, c: 1, z: 6, u: 1, h: 6}. Give prob of picking 2 h and 1 v.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -25 times -139.0236\nAnswer: 3475.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -1\/3 (b) -681 (c) -5 (d) -6 (e) 114 (f) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001088877 to 4 dps.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 2*u - 3. Let a be j(-5). Let d = a + 52. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = a. Suppose a = v - 9 - 15. Suppose n + 4*y + v = 5*n, -2*n - 5*y = -12. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 0 + (-1 - -2) + -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 768.8 times 13690?\nAnswer: 10524872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7245734 or -7245745?\nAnswer: -7245734","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of -u**5\/40 - u**4\/8 - u**3\/3 - 2. Let p(c) be the third derivative of a(c). Let z be p(-2). Solve z*f + 7 = 4 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 7, j: 2, m: 5, k: 5}. What is prob of picking 3 m?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -119 - -120. Let w(q) = 5*q + 4. What is the smallest common multiple of 36 and w(x)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -463035*0.589.\nAnswer: -272727.615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c2a364 - 5?\nAnswer: -c2a369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*u**3 - 25057 + 25057 - 3*u**4 + u + 32*u**2 in the form q + m*u**4 + k*u**2 + j*u**3 + z*u and give m.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*y - 4*y - 15*y + 37*y - 8*y.\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.87 + -0.8. Let y = -17.17 + 17. Let f = y + g. What is the nearest to -0.2 in -0.5, 0.2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 5433?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 AM and 3:24 AM?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-5\/4))**12 assuming h is positive.\nAnswer: h**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 129632 and 64.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.1 + 16.1. Let b = j - 10.4. What is b rounded to 0 decimal places?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 180770.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -153655*p + 25045779. Determine n(163).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1057?\nAnswer: 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17180 is divided by 974?\nAnswer: 622","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9 and 159.\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -173.717 rounded to one dp?\nAnswer: -173.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 4) to base 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 427.2794 meters in millimeters?\nAnswer: 427279.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-13) - (-148)\/52. Solve -i*f - 5 = -20 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66742.46 millilitres in litres?\nAnswer: 66.74246","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 9, a: 10}. Give prob of picking 2 a and 2 x.\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 291460 divided by -590\nAnswer: -494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1*(-1 + -4 + 3 + 319) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*p + 38*p - 36 = 0. Calculate the remainder when 26 is divided by p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a minute in milliseconds?\nAnswer: 18000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 + 12*q - 7. Let s be m(10). Suppose -k - 5*g - s = 0, -2*k - 3*k + 4 = 2*g. Let j = 25 + k. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18491 and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 + 6*k**2 - 27*k - 20. Let a be m(-9). Suppose 2*r + 10 = 4*r. List the prime factors of r + 3 + -4 - a.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 + 15*c - 12. Let y be x(-16). Let s be 84\/60 + y\/(-10). Suppose 22 = -k + 5*f, -3*f - 2*f + 31 = 2*k. Solve k*j + 5 + s = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 136\/(-36) + (3 - 0).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8478.41 centimeters to kilometers.\nAnswer: 0.0847841","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2497075 a multiple of 133?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*a**2 - 28*a**2 + 49*a**2.\nAnswer: -9*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:36 AM and 5:34 AM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 - -10424?\nAnswer: 10431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 1 + 4 = 0, -c + 14 = -5*r. Is -4\/11 >= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 15, 724, 2107, 4164, 6895, 10300, 14379?\n\"Answer: 337*c**2 - 302*c - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of -2\/15*b**5 + 65*b**2 + 0*b**4 + 0*b**3 + 0*b + 0. Let c(s) = 3*s. What is c(v(o))?\nAnswer: -24*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -5. Let c be 1 - (3 + (-3 - 0)). Which is bigger: y or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -14*m - 5. Let n(r) = 27*r + 1. Let p(u) = 23*u + 2. Let f(s) = -2*n(s) + 3*p(s). Give -7*f(z) - 6*k(z).\nAnswer: -21*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27.901 - 1.779. Let o = 0.32 - s. Let y = 34 - o. Which is the smallest value? (a) -3 (b) -0.2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 480423, 480398, 480373, 480348, 480323?\n\"Answer: -25*i + 480448","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((24\/(-4))\/(-6))\/((-2)\/(-8766))?\nAnswer: 3, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*w - 8*w + 5*w + 4*w + 7*w.\nAnswer: 18*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -41665 (base 11) in base 2?\nAnswer: -1110110100010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11227*j**2 + 2589*j**2 - 6130*j**2 + 242*j**2.\nAnswer: -14526*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3205450.4 rounded to the nearest 1000?\nAnswer: 3205000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q. Suppose -5*j + 0*j + 30 = 0. Suppose b - 4*x - 3 = -11, 0 = -5*b - 3*x + j. Let k(z) = -z - z + b*z. Determine o(k(g)).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 7 = 1. Let f = -57043.1 + 57043. Sort -4\/9, f, n, 1 in decreasing order.\nAnswer: 1, f, -4\/9, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of -2*p**3 - 16. Let z(y) = -2*y. Determine g(z(d)).\nAnswer: -24*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1.33 * 0.2\nAnswer: -0.266","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*b = 20*b + 3*s - 26, -5*b + 187 = -4*s. Let j(x) = -x**2 - 13*x - 36. Let f be j(-4). Solve f*t + b = 4*t - 3*v, -3*t = 2*v - 5 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 10 = -5*i, 5*i + 15 + 5 = 4*c. Let s be -1*((-1 - c) + 1). Let y = s + 1. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -301 + 464. What is the remainder when 167 is divided by l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 344190383 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 32 - 29. Let y be 2\/7 - (-24)\/14. Suppose -9 = y*p - n*p. Calculate the least common multiple of p and 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 - 12. Let t be 39\/(-26) - 185\/(-110). What is the second biggest value in j, -2\/13, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 159369359?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 2. What is the remainder when s is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 - 57 = 3*m. Let x = m - -56. Is 11 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that -5*c**4 + 1135*c**3 - 1070*c**2 - 13560*c = 0.\nAnswer: -3, 0, 4, 226","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v**3 + 4*v**2 + 4*v + 7. Let h be w(5). Let b(n) = -5*n**h + 6*n + 4 + 1 + 1. Let p(o) = 11*o**2 - 13*o - 13. What is 13*b(z) + 6*p(z)?\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 17\/16 (c) 1\/3 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r + 2. Let s(y) = 2*y + 6. Let x(k) = -6*b(k) + 2*s(k). What is x(-8)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from coooozzopyooappppyp. What is prob of sequence zyz?\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 3 = 9. Suppose f*n + 50 = 2*u, 7*u - 5*u = 4*n + 50. Calculate the remainder when 85 is divided by u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(208)\/sqrt(4))\/(-6*1*sqrt(4)).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.5 (b) -166 (c) -17.94\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 14*l - 511. Give g(39).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 761789 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1659, -3318, -4965, -6594, -8199, -9774, -11313, -12810?\nAnswer: -14259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12286, 12324, 12364, 12406, 12450, 12496?\nAnswer: 12544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 80848151 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155 = -1820*i + 1823*i - 11*c, -5*i - 32 = 4*c for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the third derivative of d**4\/24 - 17*d**3\/3 + d**2. Let x(z) be the first derivative of -z**2\/2 + 4863. What is r(x(c))?\nAnswer: -c - 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m + 2*m - 22*m**2 - 130353 + 130361 - 3*m to v*m**2 + a + d*m and give v.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6 + -5 + (0 - -3). Suppose -a*w + 9*w - 30 = 0. Let r(b) = -b**3 + 7*b**2 - 3*b + 9. What is the tens digit of r(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 801395503 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of -9*y**4\/4 - 7*y - 5. Differentiate x(w) wrt w.\nAnswer: -27*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8366)\/(-445))\/(-94)*((-1)\/(-3) + -1).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-25898)\/(-18) + (-7)\/((-315)\/10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((1 - 4) + 2)\/2. What is the biggest value in -0.4, -1\/4, y, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d + 4*m + 1332 - 4556, 4*m = -d + 797. Calculate the remainder when d is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*c = 450 + 4374. Solve 27*w = c - 53 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2483248759 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-76)\/(-10) - 6\/(-15). Let c(h) = -p*h - 7*h**2 + 1 + 8*h + 0. Calculate c(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5230 + -5212. What is the greatest common factor of 882 and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139970844 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002200463 rounded to seven dps?\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millennium in years?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30346 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*k - 10*k + 0*k + 9*k to the form i*k + q and give i.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 101*z = 2*m + 96*z + 304, -14*m = -5*m - z + 35 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 24\/6 - (2 - 4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-59 + 7*g + 59)*(-5 + 9 + 2).\nAnswer: 42*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 2*i - 92, 0 = -2*i - 0 - 6. Put 5, m, 0, 3 in descending order.\nAnswer: m, 5, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 + 7*v - 6. Let g be u(6). Suppose -3*m - 2*c - 370 = 0, 3*c + g*c + 114 = -m. Calculate the least common multiple of 9 and 2\/(-5) + m\/(-15).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15638772 a multiple of 194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**6\/h)\/((h\/h**(-5))\/h*h))\/(h**(-1\/2)*h\/((h\/(h\/(h\/((h*h**(-2\/9)*h*h)\/h))))\/h))*(h**(-1)*h**(1\/3)*h)\/(h\/(h\/h**(-6))*h*h**3) assuming h is positive.\nAnswer: h**(1\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.05 times -1.164427\nAnswer: 0.05822135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8394330.6us to hours.\nAnswer: 0.0023317585","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/(-2))\/(30\/8). Let u = -0.3 - 0. Let g = u + 0.2. Which is the closest to g? (a) 4 (b) z (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hr when two letters picked without replacement from yhrzriu?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 75467 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12034429*b**2 - 4129597*b + 1 wrt b?\nAnswer: -24068858","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 534484?\nAnswer: 2, 47, 2843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -100626, -201247, -301868, -402489?\n\"Answer: -100621*q - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7351145*h**3 + 3675571*h**3 + 3675572*h**3.\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z - 1 + 10*z**3 + 0*z**3 - z**2 - 2 + z**3 to the form s*z**3 + v + w*z + n*z**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 113 divide 3535092?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-32)\/(-112)*((12 - 19) + 14). Let i be 177\/7 - 2\/7. Suppose 4*b - i = -b. Solve -b = -p*k + 5 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 + 7. Let x(c) = 3*c**2 + 25*c + 9. Let a be x(-8). What is the nearest to a in u, -2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*k**2 + 20*k + 11*k + 6*k**2 - 31*k**2 in the form n + s*k**2 + m*k and give s.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -262 + 62 = -50*t, -38 = -2*w + 5*t + 2*t - 6*t for w.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1648998080?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -335*x + 7302. Determine i(20).\nAnswer: 602","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -97 - 232. Let n = -202 - j. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 401 + -401.0452. Let i = g + 1.0452. Put i, 22, -9 in decreasing order.\nAnswer: 22, i, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*((-231)\/49 - -5)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -96483 from 13.5629.\nAnswer: 96496.5629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 26*l - 40. Let v be x(4). Suppose 12*c = -v + 9892. What are the prime factors of c?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32980200?\nAnswer: 2, 3, 5, 11, 19, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**2 - 2*w - 12. Let f be d(4). Suppose -4*h - 5*q + 1 = 0, 2*h + 3*q = -h. Which is the closest to 2\/3? (a) -6 (b) h (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7\/6, -5, 0.2, 2.\nAnswer: -5, 0.2, 7\/6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*p + 10*p + 20. What is the greatest common factor of p and 250?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/210*-84*(-30)\/81*3*3.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -3905*a + 539. Let y(d) = -214*d + 30. Let i(c) = -3*o(c) + 55*y(c). Let w(k) = -7*k + 4. Give 4*i(p) - 33*w(p).\nAnswer: 11*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-5 - -4) - (0 - -5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/(((-1)\/(-3))\/((-130)\/(-78))). Suppose -y*f + 966 = l, 2*f - 5*f - 2844 = -3*l. What is the tens digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 252926364.\nAnswer: 2, 3, 47, 448451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h**4\/2 - 42*h**3 - 117*h**2\/2 + 294*h - 90 = 0. What is h?\nAnswer: -3, 1\/3, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6.200863ug?\nAnswer: 0.000000006200863","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 16\/(-9) - (-6)\/(-27). Put j, -3, -5 in ascending order.\nAnswer: -5, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/5152 and 87\/43792.\nAnswer: 87584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o + 5. Let a be p(-3). Let s be (1 - a)*(1 - 1). Suppose s = z - 4 - 9. Solve -3*b = 2 + z for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 2*q**2 + 950*q - 1908 = 0.\nAnswer: -477, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 14 = -1 - 4, 0 = 6*s + 4*c - 24 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 3:58 AM?\nAnswer: 2:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 200*g + 631. What is n(-4)?\nAnswer: -169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/3 + 13\/78. Let x(j) = -j**3 - 4*j**2 + 4*j - 2. Let w be x(-5). Which is the closest to w? (a) 3 (b) 2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.8 + 0.3. Let r(f) = 2*f + 15. Let l be r(-9). Sort -3\/2, j, l in ascending order.\nAnswer: l, -3\/2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-615)\/(-2255)*22\/(-2)*1\/(-12)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5435 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 e when three letters picked without replacement from ennspsspsenennpnp.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**3 - 18*d**2 - 26*d + 98. Let n be m(-16). What is the closest to 4\/7 in n, 4, -0.2, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -94715*f*j**3 + f*j**2 + 8*f*j - 42*j**3 - 150*j**2 + 4*j - 7 wrt j?\nAnswer: -568290*f - 252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64 - 37 + 10043*g - 52111*g - 27.\nAnswer: -42068*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = f**3 - 6*f**2 - 2*f + 3. Let m be k(6). Let t(z) = 5*z + 49. Let r be t(m). Solve j + r*j = -3*d + 8, 2*j + 5*d = 7 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13781 is divided by 80?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 371480 to the nearest integer?\nAnswer: 609","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0.1+-502\nAnswer: -501.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 5\/77, 4, -0.1, 1.3?\nAnswer: 5\/77","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) be the first derivative of -n**4\/4 + 38*n**3\/3 - 5*n**2\/2 + 201*n + 238. Calculate the least common multiple of l(38) and 548.\nAnswer: 6028","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l = 318 + 18. Let b = 128 - l. Calculate the highest common divisor of 16 and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9\/4*c - 3\/2*c**3 - 3\/4 + 9\/4*c**4 - 3\/2*c**2 - 3\/4*c**5 = 0. What is c?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 2*c**3\/13 - 374*c**2\/13 - 2696*c\/13 - 3880\/13 = 0.\nAnswer: -5, -2, 194","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a + 1. Let u = 33 + -48. Let y = -10 - u. Let f(r) = 3*r - 4. Determine y*j(b) + f(b).\nAnswer: -2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 334 - 334. Suppose 5*h - 2*h - 2*x - 53 = g, 4*h - 4*x - 76 = 0. Calculate the greatest common divisor of h and 195.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 176835 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 2 y, and 1 j when four letters picked without replacement from jgbjyyjejjjbjj?\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of q**6 + 3568*q**4 + q**2 - 1511*q + 1 wrt q?\nAnswer: 120*q**3 + 85632*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -213095, -212963, -212841, -212735, -212651?\n\"Answer: -x**3 + x**2 + 136*x - 213231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of -y**3\/6 + y**2\/2 + 4*y. Let s be r(0). Which is the nearest to s? (a) 1 (b) 2 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/36 - 2\/(-12) and 16\/27.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**2 + 26*x + 168. Give c(-12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -180*a**3 + 2*a**2 - 41*a + 84. Calculate o(2).\nAnswer: -1430","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is ((52\/182)\/(8\/((-15008)\/(-4))))\/(-2)?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 divided by -50.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -51341 - -86520. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a milligram in micrograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**5*o**5*o)\/(o**(-2\/15)*o**5) assuming o is positive.\nAnswer: o**(92\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a tonne in kilograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-4 + sqrt(19)*-1)*5 - ((-1*(sqrt(931) + sqrt(931) + 1))**2 + 1).\nAnswer: -3748 - 33*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*u - 7*u. Suppose 0 = u*l + 58 + 38. Let y = l + 44. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n**4 - 1028628*n**3 + 107973072*n**2 - 2887218880*n + 2780274432 = 0. What is n?\nAnswer: 1, 52, 257052","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 724 is divided by 66?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 51439 + -27752. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c**2 - 9*c + 9. Calculate u(6).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*j + 4475*g - 19 = 4474*g, -2*j = -g - 5 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -161*l**4 + 201*l**4 - 2514*l**2 + 2589*l**2 + (-l**3 + 2*l**2 - 2*l**2)*(l + 0 + 0) in the form n*l + w*l**4 + p + s*l**2 + r*l**3 and give s.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -20*n - 13. Let h be z(-11). Let q be h\/36 + 1\/4. Suppose 4*j = q*j - 44. List the prime factors of j.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 11*h**2 + 8 + h + 3*h**3 - 5 - 1 - 3*h + 9. Let p be o(-4). Which is the second biggest value? (a) 2\/15 (b) -6\/11 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:51 AM and 3:23 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 443 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 - 3*q + 1. Let r be k(4). Suppose 0 = -3*x + 29*x + 104. Let o be (-1)\/7*2 + x\/(-14). Solve 0*j - r*j = o for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 72 + -182. Is (r\/15)\/(4\/(-66)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -9 (b) -3 (c) -0.1 (d) -0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q**2 - 7*q - 3. Let h be f(-4). What is the highest common divisor of 27 and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 279 + 261 = -45*g for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3798, -6.1, 2 in increasing order.\nAnswer: -6.1, -2, 2, 3798","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/28 (b) 0.07 (c) 1\/2 (d) -0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -42*i + 42*i + 8*i**4 + (-2*i**3 + i**3 + 0*i**3)*(-3*i + 2 - 2).\nAnswer: 11*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 - 3*k**2 + 0*k + 75 + 2*k + k - 83. What is z(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(3\/4))**(-1\/4))**(2\/7)\/((c*c**(3\/5))**(18\/7))**15 assuming c is positive.\nAnswer: c**(-3459\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/4)\/(4\/152). Find f, given that 33*f**3 - 192 + 5*f + 43*f + f**4 + 51*f**2 + t*f**2 + 2*f**4 = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2223 = -j - 12*j. Is j a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -40611 and 1.5772?\nAnswer: -64051.6692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*(sqrt(1573)*-1 + sqrt(1573) + -3 - sqrt(1573)) - (-1 + (sqrt(1573) - (sqrt(1573) + 2 + 0)))) + 0)**2 + -1.\nAnswer: 132*sqrt(13) + 6300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2898 a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 (base 12) in base 8?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 3*d - d + d + (-7 - 3 - 2)*(-7*d + 2*d + d) in the form u + y*d and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.01 and -479?\nAnswer: -4.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -8. Let s(g) = 3*g**3 - 2*g**2 + 5*g + 4. Let d be 6*((-6)\/9)\/(-2). Let h(v) = -1 + v**3 + d + 0 + v. What is u*s(z) - 4*h(z)?\nAnswer: -z**3 - 2*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -10428 (base 12) to base 15\nAnswer: -64ce","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 2, 5\/3, 1066?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k - 1. Let t be m(-4). Suppose -26 = j - t*j - 5*a, -2*a = 5*j - 23. Suppose b = -j*c - 2, -3*b + 2*c - c - 6 = 0. Put 0, b, 5 in increasing order.\nAnswer: b, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -285359\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -12*c**2 - 75*c - 76. Let v be j(-1). Put 26, -1, v in descending order.\nAnswer: 26, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 - c)*(-5 + 3 + 5) - 11 + 5 + 14*c - 6*c to the form n*c + y and give n.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2184093?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 113 is divided by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = 198*w - 204*w for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 959, -3, 67 in increasing order.\nAnswer: -3, 67, 959","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, u: 1, h: 2, e: 1, o: 1, x: 1}. Give prob of picking 1 h and 1 x.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272)*4 + sqrt(612) + (sqrt(612)*-2)**2)*3 + 0.\nAnswer: 66*sqrt(17) + 7344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.2 - -1.79. Let n = 0.409946 + t. What is n rounded to 5 decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -155 + 160. Solve 20*x - 25*x = -b for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(56)*-2)\/(2*sqrt(8)*1).\nAnswer: 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/42 and -89\/4338?\nAnswer: 30366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21 - -33. Suppose -10*b + 4*b + o = 0. Solve 3*n = -b*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 - 5)*(c + 2 - 2) - 2*c + 1 - 1)*(-6*c + 3*c + 2*c).\nAnswer: 7*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5203307, -10406630, -15609953, -20813276, -26016599?\nAnswer: -31219922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -2*z**5 + 3194*z**4 - 9428*z**3 - 216376*z**2 - 650000*z - 561088 = 0.\nAnswer: -4, -2, 11, 1594","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*b**3 + b + 3*b - 2*b + (2*b**3 + 2*b**3 - 2*b**3)*(2 - 3 - 3))*(3*b + 2*b - 3*b) to the form p*b**3 + h*b + z*b**4 + n + x*b**2 and give z.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1154.024 + -1143. Let w = -11 + j. Round w to 2 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0069717 rounded to 4 decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14*14\/8*28\/(-98).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7516297?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 218, -0.4, -1\/5, 3, 0 in increasing order.\nAnswer: -1, -0.4, -1\/5, 0, 3, 218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -220 + 24?\nAnswer: -185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.2 + -0.8. Let o = -0.118 - -0.088. Which is smaller: d or o?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(152) + (sqrt(152) - ((sqrt(152) - sqrt(152)*-1)*1 - sqrt(152)))))\/(-2*(2*sqrt(200) + sqrt(8))).\nAnswer: sqrt(19)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2021\/738 + 95\/41. What is the common denominator of j and 107\/22?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes before 10:13 AM?\nAnswer: 3:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 35280 equal to 35283?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3360 + -0.0501166.\nAnswer: 3359.9498834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2 + d - 32. Give a(0).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 79 = 2*i + 30, -3*i = y + 39. What is the lowest common multiple of ((-4)\/(-6))\/(-1 - 51\/y) and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, a: 1, r: 2}. What is prob of picking 1 r and 1 a?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p + 18. Let d(m) = -m + 62. Let a be d(32). List the prime factors of f(a).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 69\/(-12) - (-2 + (-20)\/(-16)). Let x(v) be the first derivative of -v**3\/3 - 5*v**2\/2 - 2*v + 3. Give x(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 247*f**4 + 1701*f**3*x - 2480739*f*x + 2*x wrt f?\nAnswer: 2964*f**2 + 10206*f*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - v = -96. Suppose 3 = -u, -u - v = -4*j + 11. Let a = j - 7. Is a even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (47\/(161868\/26855) + 10\/280)\/(2\/4)?\nAnswer: 47\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/((-112)\/4)*0\/(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z - 2*z - 32 = 0. What is the remainder when 14 is divided by z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.07 at least as big as 15.38311?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*a**2 + 14*a**2 - 4*a**5 + (-2*a**3 + 2*a**3 + a**3)*(a**2 - 4*a**2 + 2*a**2) + 2 - 2 - 2*a**5 + 1654*a**5 + 33 - 81 + 48 - 102*a**5.\nAnswer: 1545*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the second derivative of 37*b**4\/12 + b**3\/3 - 3*b**2\/2 + 2*b. Is k(2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*w + 8 - 2*w**2 - 5*w**3 - 4*w + 666*w**4 - 717*w**4 + 3*w**3 to s*w**4 + m + t*w**2 + k*w + d*w**3 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 896, 15695, 58320, 142685, 282704, 492291, 785360?\n\"Answer: 2319*g**3 - g**2 - 1431*g + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2 - 6)\/(2\/(-4)) - -1. Let w be m\/2*34\/(-12)*-36. Suppose z - w = -3*p - 2*p, 3*z - p - 1313 = 0. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of 2*j**2 + 1\/12*j**4 - 1 + 0*j**3 + 0*j. Let m(x) be the second derivative of x**4\/4 + x. What is m(n(a))?\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8735?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(153)\/(sqrt(36)\/(sqrt(4) + (sqrt(8)\/sqrt(2) - sqrt(4)))).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3809759729 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 13) in base 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10499788 is divided by 167.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 130557 (b) -3\/2 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/12 + (-2)\/6. Suppose y = 3*s - 113 - 52. What is the greatest common factor of 22 and s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 46882 and 2222?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 57 and 363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - 1)*(45 - 47). Solve 0*v - j*v + 4 = -u, -5*v - 3*u - 12 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 less than 378.53?\nAnswer: 369.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 616 and 3584.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*d**3 + 19*d**3 + 2*d**3.\nAnswer: 30*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/((v\/(v\/v**(-1\/6))*v)\/v)*v)\/v)\/(v*v**(-1))*(v\/(v\/v**(-1)))\/(v**(-2\/13)\/v) assuming v is positive.\nAnswer: v**(103\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/18*(-6)\/(-2)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5\/20*10671 - (230\/(-8))\/23. Calculate the highest common divisor of i and 187.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 30 = -3*r, -2*r + 4*m + m - 35 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6.012424l?\nAnswer: 6012.424","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k - k + k + 0*k + 7*k**2 + 5 to c + i*k + q*k**2 and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 5 = w - 12, 5*w + 5*i - 35 = 0. Let t be (-10)\/w + 4 + (-3)\/(-7). What are the prime factors of (1 - t) + 3 - (-57 - 2)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 16*q - 9. Suppose 7*p = 9*p + 4. Let i(b) = 3*b - 2. Let n(s) = p*r(s) + 11*i(s). Determine n(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 646.0008t?\nAnswer: 646000.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.318 + -1.818. Which is the biggest value? (a) -2\/7 (b) n (c) 2 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 38761079 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1349827 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -10 equal to -40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 2 y when four letters picked without replacement from ymmmyymmymmmmm.\nAnswer: 270\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 87.\nAnswer: 696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42*461.\nAnswer: -19362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -369\/2*h + 2213\/12*h**2 + 0 + 1\/12*h**3 = 0.\nAnswer: -2214, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 264 (b) 3 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, -1, -0.03, 24\/41?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2799 is divided by 187.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -71603, -72851, -74097, -75341, -76583, -77823, -79061?\n\"Answer: u**2 - 1251*u - 70353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 + 7*f**3 + (-f**2 + 2 - 2)*(-2*f - 1 + 1) + (-4*f**3 + 3*f**3 + 3*f**3)*(-8 - 4 - 11).\nAnswer: -37*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (7 - 2) - (-78 - -75)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147 = -3*l + 150*l. Sort -4, 8, 2\/7, l, -51 in descending order.\nAnswer: 8, l, 2\/7, -4, -51","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes after 3:49 AM?\nAnswer: 9:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 16459.0015366 + -16459. Let h = d - 0.0016. What is h rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -945161 divided by -49?\nAnswer: 19289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 32, 59, 84, 107, 128?\n\"Answer: -x**2 + 30*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2264+-412.1534\nAnswer: -2676.1534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 1892.\nAnswer: -1892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 9\/(-12) - 257879\/83190. Let z = k - 1\/8319. Let n = 2203\/2340 - -2\/65. What is the common denominator of z and n?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + n + 15 = 0, -4*w = -0*w + n - 33. Suppose 12*i - 160000 = w*i. Round i to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7200 divided by -1440.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 + 2 + -1)\/(-1). Let p = 6 + -3. Suppose 57 = -b*g + p*g. Does 6 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 0. Let i = 16 + a. Does 10 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12117.2392 rounded to the nearest 10?\nAnswer: -12120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 - 18 - 9*r**3)*(2*r - 5 - 3*r - 1).\nAnswer: 9*r**4 + 54*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11332 + -2031332?\nAnswer: -2020000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 364321 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 14.174 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -1, -4302015 in decreasing order.\nAnswer: -1, -11, -4302015","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) - sqrt(77)*-3)\/sqrt(7)*-3.\nAnswer: -12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/(-4)*72\/(-180)*32\/6.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 6*g. Let n be 8 + 4\/(-1) - 2. Let k(y) = 0*y**2 - 4*y**2 + n*y**2 - y**2. Determine k(m(r)).\nAnswer: -108*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -4*j - 16. Let p be b(-5). Suppose -3*i + 0*d + 9 = 4*d, 12 = p*d. Does 26 divide 4\/((-2)\/i + (-1008)\/511)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 50679.29 nanograms?\nAnswer: 0.00005067929","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 16\/20*(0 - -5). Let v(i) = i**3 - 3*i**2 - 5*i + 4. Let x be v(a). What is the derivative of -5*s + 4*s + x*s - 1 wrt s?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -205548053 + 117.\nAnswer: -205547936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1072\/3 + 363. Let p = w - 6. What is the closest to p in 0.4, -0.3, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28853?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/l**(-1\/11)*l*l\/(l**(-4\/9)\/l)*l)**3*(l**3\/(l\/l**(-7)))**(7\/6) assuming l is positive.\nAnswer: l**(303\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 113 - 8. Let o = -102.48 + r. Let u = 2 - o. Round u to 1 dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*j**5 + 50*j**4 - 165*j**3 + 200*j**2 - 80*j.\nAnswer: -5*j*(j - 4)**2*(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 1. Let f be 3*-3*7\/(-9). Let c(b) = b - 5. Let p(q) = 3*q - 9. Let x(n) = 7*n - 19. Let j(r) = 5*p(r) - 2*x(r). Determine a*j(o) + f*c(o).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -10061244 divided by 4\nAnswer: -2515311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 n when two letters picked without replacement from {o: 1, j: 4, b: 3, y: 7, n: 2}?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -26 - -a4a49a?\nAnswer: a4a474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -47449\/16545 + 4\/3309. Find the common denominator of q and (-10)\/(-8) - 158\/(-264).\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 23*d. Let k(h) = -1075*h + 2 + 18*h**2 - 1086*h + 2161*h. Determine o(k(f)).\nAnswer: 414*f**2 + 46","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3, 1, 3\/8, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + -2 + 0 + (587 - 594)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = 1793 + 5162. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 943874.\nAnswer: 2, 17, 23, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((2\/3)\/((-1)\/24*-4))\/38?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -9, 2*h = 4*h + 3*f - 227. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -0.18 (b) 2\/45 (c) -1\/3 (d) -2 (e) 1 (f) 0.5 (g) 39\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(-450)*10 + (-11)\/3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19905 is divided by 882?\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 731573665?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2587345891?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 17300 (b) -0.5 (c) -2\/19 (d) -0.2 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-12) - 58\/(-12). What are the prime factors of (288\/10)\/6*p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.4 - -0.5. Let x = 0.02 - 0.32. Let k be (((-31)\/(-930))\/((-1)\/(-2)))\/((-11)\/(-66)). Which is the closest to u? (a) x (b) k (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -8. Let k(i) = -5*i**3 + 2*i**2 - 3*i - 3. Let f(x) = -9*x**3 + 3*x**2 - 5*x - 5. What is n*f(c) - 5*k(c)?\nAnswer: -2*c**3 - c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13471638.\nAnswer: 2, 3, 2245273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 23 + -15. Let c be 4*1\/((-4)\/(-3)). Suppose 0 = -c*p + r - 2. Solve 3 = h, 3*h - 18 = b - p*h for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 7, -1, -3, 7?\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3452952 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: Rearrange 0*u + 2*u + u + (3 - 3 + 2*u)*(0 - 2 + 3) + 10 - 7*u + u + 8*u + (-5 + 1 + 2)*(26 - 8*u - 26) to z + k*u and give k.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120 divided by 1.\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -429150, -858871, -1289164, -1720029?\nAnswer: -2151466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 691258280, 691258281, 691258282, 691258283, 691258284, 691258285?\n\"Answer: f + 691258279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in f**3 + f**3 - 340*f - 645*f.\nAnswer: 2*f**3 - 985*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 - 108\/(-56) - (3 - (-90)\/(-35)). Which is the closest to 5\/4? (a) -3\/5 (b) l (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(77)*6 + (-2*sqrt(77) + sqrt(77))*6)*3)\/(-4*sqrt(22)\/sqrt(32)*-4).\nAnswer: -27*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46839.\nAnswer: 3, 13, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 7, -10, 5, -5.\nAnswer: -10, -5, -1, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*b + 36*b - 193*b - 118*b to y + l*b and give l.\nAnswer: -290","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 76364 divided by -1397?\nAnswer: -76364\/1397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6 - 3. What is the remainder when 1 is divided by (1\/3)\/(1\/h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pbtbkpyk. Give prob of sequence btpb.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4268 - 6937 = -5*i. Let k be i\/(-6)*(32\/12)\/(-4). Let p = k - 142. What is the tens digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 5:59 AM?\nAnswer: 11:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1368*g + 2141*g - 209835 = -1154*g for g.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 4*n**2 + 58*n - 18420. Calculate r(61).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 8*v + 4*v - 13*v. Let z(c) = -94 - 86 - 94 + 273 + 2*c. Let m = 17 - 9. Determine m*j(t) + 3*z(t).\nAnswer: -2*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*f - 14*f + 100*f.\nAnswer: 41*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -76 by 1.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -1 + 7 + 21 + -7 + -9\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55488*h**2 + 55488*h**2 - 495*h**3.\nAnswer: -495*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -32*o + 9969 + 10182 - 19703 for o.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2435843315?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.296 - 1.528. Let g = z - -0.232. What is the nearest to g in -2\/19, -4\/9, -2\/51?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -154 + 145 + (6 - 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 4*p = -0*v + 44, 5*p + 50 = 2*v. Solve 0 - v = 5*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 5*g - 642239, 3*g + 27936 - 413275 = -4*w. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2c288 (base 13) to base 16\nAnswer: 147e0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 10 (b) -4 (c) 2945\/101\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 4*u - 19 = 0, -6*f = -2*f - 3*u - 19. Let j(a) = 2*a**2 - 50*a - 33. Let z be j(27). Suppose 2*v - z = f. What is the units digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 59143579 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qk when two letters picked without replacement from {r: 2, x: 3, u: 3, v: 1, q: 3, k: 4}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.034 - 118.034. Let k = -118.07 - l. Which is smaller: k or 2\/15?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide (-2)\/((-8)\/53290) - -6*(-9)\/(-108)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(-2)*(-2)\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4651405 (base 9) to base 6.\nAnswer: 125514305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2915 is divided by 1090?\nAnswer: 735","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 727 is divided by 146.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -9544, -9817, -10090, -10363, -10636?\n\"Answer: -273*s - 9271","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes before 11:14 AM?\nAnswer: 11:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -12*f + 148. Let t(q) = -41*q + 445. Let l(d) = 7*g(d) - 2*t(d). Let h(i) = -3*i. What is h(l(m))?\nAnswer: 6*m - 438","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 110126 < 4735425\/43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*u = 14*u + 36. Suppose 0 = u*j - 33*j - 7407. Suppose f = -4*t + 3766, 4*t - 1287 = 4*f + j. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.3, 0.1, 2\/5, -3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -v + 1. Let j(y) = 0*y + 3*y + 0 - 2. Suppose 5*x = 5*l - 10, 16 = 39*l - 41*l - 3*x. Let q = 4 + -9. Give l*j(d) + q*f(d).\nAnswer: -d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f**2 + 26*f + 23. Let k be b(13). Let o = k + -343. Is o < -320?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.4659 + -1.457667. Round k to 3 dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - 59 - (-9 + (1 - 3) - (559 + -569))?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1670570?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 - 7.8. Let d = o + -1.98. Let w = d + 0. What is w rounded to 1 dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4514\/623 + 79093949\/11214. Let w = -7063 + n. What is the common denominator of (-73)\/(-52) + (-1)\/(-4) and w?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.147 + -0.247. Which is smaller: m or 1.4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 228, 347, 466, 585, 704, 823?\nAnswer: 942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7b20 (base 14) in base 8?\nAnswer: 51620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 41 (b) 3 (c) -4.6 (d) -3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -500 - -502. Suppose -b*i = 4*r + 6, 4*r = -2*i + 5*r + 19. Solve 3*n + 5 = -4*o + 4, -5*o - n = -i for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -2*t**2. Let k(m) = m - 1. Let x(n) be the first derivative of 3*n**2 - 4*n - 13. Let g(o) = -4*k(o) + x(o). What is g(w(a))?\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 + 69 + 2 + 18*t**2 - 2 - 20*t**2.\nAnswer: -2*t**2 + 86","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 26 (b) 5 (c) 13.2 (d) -2 (e) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 626152 and 626127 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.77 + 0.23. Suppose 5*m + 0*m = 15. Suppose 0 = -3*v - 9 + m. Which is smaller: p or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-a + 3 - 3 - 2)*(-3 + 4*a**3 + 6 - 3*a**3) as l*a + z*a**4 + i*a**2 + f*a**3 + r and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 164*d - 33368. Let v(q) = -2*q. Calculate v(g(a)).\nAnswer: -328*a + 66736","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -90 + 126. Let h(p) = 4*p**2 + 9*p + 26. Let c be h(-4). What is the greatest common factor of c and k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 200 + -195. Suppose -3*t - 4 = 4*k, -3*k = 5*t + a + 9. Solve 6 + 4 = -k*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -127*k**3 + 9*k**2 - 73*k - 449. Let h be v(-21). What is h rounded to the nearest 100000?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w**3 - 5*w**2 - w + 4. Determine j(-4).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.1560737 - -0.057\nAnswer: -0.0990737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 - 10.3. Let t = 86 - 81. Which is the nearest to 0.07? (a) 2 (b) i (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1076, -1098, -1098, -1076, -1032, -966?\nAnswer: -878","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 9, -4, -5, -62 in decreasing order.\nAnswer: 9, 5, -4, -5, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104*n = 4*c - 100*n - 227508, 0 = -4*c - 5*n + 227509. Is c a multiple of 236?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -7 - ((-4)\/(-2) - 4). Let x = z - -23. Suppose -b - 4*b = -260. What is the remainder when b is divided by x?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -9*h + 3*h. Suppose -2 = h*c - 11. Let u be 9\/((-90)\/(-34)) + 4\/(-10). Solve u + c = 3*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9 - -14. Suppose -3*b - 4*h + 428 = -b, -4*h = y*b - 1040. Suppose 12*u - 6*u - b = 0. Is u a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -39*s**2 + 1189*s - 607. What is x(30)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 123 (b) 2 (c) -12\/13 (d) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - -371) + (5 - 6). Suppose 3*n + r = -52. What is the tens digit of (n\/(-9))\/(2\/6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.08, -1\/4, -1\/667 in decreasing order.\nAnswer: 0.08, -1\/667, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*m**3 - 3*m**2 + 5*m**3 + 3*m**2.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -38048 - -20189. Let p = m + 428711\/24. Find the common denominator of -24\/7 and p.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {f: 3, e: 4, p: 1, a: 2, x: 9}?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -168 + 171. Let v be 10 + -1 - g*(-12)\/(-18). Solve -v - 7 = c - 2*a, 3*c = -2*a - 2 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4831955694215 - 0.\nAnswer: 4831955694215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -569*g**2 - 191226*g + 191226*g to the form x*g + n*g**2 + a and give n.\nAnswer: -569","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 - 86*d**2 - 1438*d - 1918. Calculate b(-64).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -158 - -276. Is 4 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 21 = -3*n, 2*n = 3*l + 3*n + 25. Let q(v) = v**3 - 3 + 8*v**2 + 42*v + 23*v - 67*v. Determine q(l).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g + 44*g - 107*g - 8*g = 1125 for g.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 904 is divided by 233?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/(2\/(6\/(-3))). Suppose -3*u + u - 3*d = 16, -3*u - 21 = 3*d. Sort u, k, -3, -2.\nAnswer: u, -3, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -46\/3 and -5\/1668.\nAnswer: 1668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 5*r - 6. Let g(o) = 2*o - 2. Calculate -4*c(q) + 11*g(q).\nAnswer: 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*a - 22*a + 10 = -5*p, -8 = a + 4*p. What is the biggest value in -4, -1\/7, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4327 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002683721425 to seven dps.\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (32\/48)\/((-25)\/(-6975)). Calculate the greatest common factor of 4154 and i.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that -j**2 - 2991*j = 0.\nAnswer: -2991, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.713 rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2868)\/(-2390)*(-1)\/(-2). Let s be (1\/3)\/((-10)\/12). What is the smallest value in 0.2, s, -0.5, d?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/(h\/(h*h**(6\/11)))))**36 assuming h is positive.\nAnswer: h**(-216\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (150\/(-90))\/(5\/6).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**2 + 4733504*w + 4733500.\nAnswer: 4*(w + 1)*(w + 1183375)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) + 2*sqrt(156)*-3)*6)\/(-4*sqrt(588)*2).\nAnswer: 15*sqrt(13)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1865851 * -0.1.\nAnswer: -186585.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-6\/11)*x**(8\/5) assuming x is positive.\nAnswer: x**(58\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of (-241168)\/(-36) - (26\/(-9) - (1 - 4))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 5*c - 4 + 6 + 10. Is m(11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 924 = -5*b, b + 1571 = 5*k - b. Suppose 269*j = 276*j - 21. Suppose j*l = -25 + k. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 3*b = -2, 2*g - 6 = -2*b - 2 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-4)*18\/9\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1132*z**2 - 624*z**3 - 982*z**2 + 1857*z**2 wrt z.\nAnswer: -3744","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -208 - -203. Sort x, 3\/4, 3, -2\/13.\nAnswer: x, -2\/13, 3\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1254 greater than -1888?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*m - 2 = -2*n - m, -m = 2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - (7 + -3))\/(12\/(-8)). Let h(s) = -2*s + 14*s**a - 6*s**2 + 2 - 9*s**2. What is h(-5)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13502\/57 > -236?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 804653 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 40659289477 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: ab (base 13) to base 12\nAnswer: b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*s - 4*s - 413. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1070989403 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 + 1 - 5)*(2 + 0 + 0) + 0 + 4 - 3 + (7 - 2 - 3)*(5 - 1 - 2))*(47*a - 111*a + 1 - 3) as y + b*a and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 1357996007?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k + 20 = -2*k. Solve 8*o + 0*o**3 - 3*o**3 - k*o = 0 for o.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 328.4 - 328. Which is the closest to k? (a) 0.8 (b) 4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 683930?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u + 6*u + 14 = -3*a, -3*u = 4*a - 23. Let q(l) = -l + 10. Let c be q(10). Find w such that 1\/2*w**a + c - 1\/2*w**3 + w = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -505 or -506?\nAnswer: -506","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2))**46\/((a\/(a**(-10)\/a*a))\/((a\/(a*a**(-3)*a))\/a*a*a)))**(1\/8) assuming a is positive.\nAnswer: a**(-25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -10*r**2 + 117*r - 354. Let z(h) = -17*h**2 + 235*h - 707. Let i(u) = -5*y(u) + 3*z(u). Factor i(a).\nAnswer: -(a - 117)*(a - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -111412, -444691, -1000154, -1777801?\n\"Answer: -111092*p**2 - 3*p - 317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7174 and 34.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 - 61 = -39*c. Let u(s) be the second derivative of 1\/48*s**4 + 0*s**3 + 1\/168*s**7 + 0*s**c + 12*s - 1\/80*s**5 - 1\/120*s**6 + 0. Factor u(l).\nAnswer: l**2*(l - 1)**2*(l + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -22 + 47656?\nAnswer: 47634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 8\/3 - 3*6\/27. Suppose -5*u + 10*u = -5, l*x + 2*u = 6. Put x, -5, -4 in increasing order.\nAnswer: -5, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2133 (base 4) to base 6\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 698347.303 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a millisecond in microseconds?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a millennium in years?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 48407 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2 + 758*t + 1508.\nAnswer: 2*(t + 2)*(t + 377)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -166940, -333870, -500800?\nAnswer: -667730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-3*sqrt(13) + -4 + sqrt(117)\/sqrt(9))**2.\nAnswer: -128*sqrt(13) + 3344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8009 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 1832*w. Let t(a) = a - 33. Let d(h) = h - 44. Let m(r) = -3*d(r) + 4*t(r). What is f(m(g))?\nAnswer: 1832*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 19753 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17.1 + 18.1. Let j = -0.8 + 0.3. Let s = -87 + 266\/3. What is the nearest to o in 0.5, s, j?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 478 is divided by 80.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 1. Suppose v*j - l - 33 = l, 2*l = -3*j + 23. Let a = j + -12. Put 2\/3, a, 2 in ascending order.\nAnswer: a, 2\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 60, 127, 200, 279, 364?\nAnswer: 455","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -109 + 75. Let p = h - -67. Is p a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1154214.\nAnswer: 2, 3, 64123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 + 191 = -5*g. Find the common denominator of -12\/7 and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 388*k - 1 - 205*k + 1 - 193*k.\nAnswer: -10*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 n when two letters picked without replacement from {z: 1, a: 1, b: 3, n: 1, r: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*h**3 - 39*h**2 + 85*h**2 - 46*h**2 - 60*h**3.\nAnswer: -93*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 18627790921 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6415.\nAnswer: 5, 1283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 AM and 9:24 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = 23 - 3 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1065 and 76893.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40 and 1250.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 + 22*t**2 + 21*t + 45. Let d be h(23). Is 3\/(-15) + (d - 544\/(-20)) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 509181 is divided by 10172?\nAnswer: 581","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 326, 622, 916, 1208, 1498?\nAnswer: 1786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1006020 divided by -60\nAnswer: 16767","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 7*x - 6. Let q(z) = 26 - 13 - 2*z - 13*z. Let g(p) = 3*p - 1. Let t be g(-4). Let m(f) = t*u(f) - 6*q(f). Let v(r) = r**2. Calculate v(m(b)).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -7\/2157?\nAnswer: -7\/2157","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -145c0 (base 13) in base 9?\nAnswer: -57541","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44385944 divided by -8264.\nAnswer: 5371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of z**4\/48 + z**3\/12 + z**2\/8 + 17*z. Solve v(s) = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*h**4 - 42*h**3 + 354*h - 143*h + 4*h**3 - 212*h as q + w*h**3 + k*h**2 + a*h**4 + n*h and give w.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*f**3*u**2*v + 8451*f**3*u*v**2 - 2*f**2*v**2 - 2*f**2 - 9*f*u*v**2 - f + u**2 wrt f?\nAnswer: 12*u**2*v + 50706*u*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -404753*u - 524474.\nAnswer: -404753","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2ad013 (base 16) to base 14.\nAnswer: 53072b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33 and 228?\nAnswer: 2508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.1 - -4. Let v be (-4)\/(-10)*(-475)\/380*(-132)\/(-15). Which is smaller: v or x?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 2 + (3 - 2 + 0)*(-1 + 3 - 3) - 5 - 1 - 4)*(-j**2 + j**2 + j**2)*(j + 0*j - 3*j) + 103*j**3 - 2544 + 2544.\nAnswer: 123*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 575.2407 micrometers in meters?\nAnswer: 0.0005752407","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 0 + 22 + 33)*(-g**4 + 3*g**3 - 3*g**3 + (3*g + 2*g - 7*g)*(-81*g**3 + 319*g**2 - 319*g**2)).\nAnswer: 7889*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2780*q - 2788*q + 145376. Is q a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8 - 6. What is the first derivative of 5*h**z + 2 + 0*h - 2*h**2 + 0*h wrt h?\nAnswer: 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.344 + 0.044. Let q = -0.3 - t. What is the third smallest value in -1\/3, 1\/5, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j**2\/j))**(-1\/81)\/(((j\/(j\/(j*j**(-1\/3))))\/j)\/j)**25)\/((j**(-1\/3))**(5\/13)\/(j**(-2)*j**(-8))) assuming j is positive.\nAnswer: j**(305\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_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 (x*x\/x**(2\/19)*x**2)**(-13)\/(((x*(x\/(x*x**(-2\/5)))\/x*x)\/(x\/x**(2\/3)))\/(x\/(x**(2\/7)\/x))**(-3\/26)) assuming x is positive.\nAnswer: x**(-1345924\/25935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vaw when three letters picked without replacement from pdnppaapdpvwa.\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(225)\/sqrt(80))\/(-1*sqrt(576) - sqrt(9)))**2.\nAnswer: 5\/1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the first derivative of 0*n**3 - 49*n + 0*n**4 + 0*n**2 + 26 - 37\/5*n**5. Differentiate g(o) with respect to o.\nAnswer: -148*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide ((-74752)\/6)\/(-16) - (-20)\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17211 + -17211.0143506. Round g to three dps.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 + 9. Let v = -2 + d. What is the remainder when 3 is divided by v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -106413, -105957, -105203, -104151, -102801, -101153, -99207?\nAnswer: -96963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 773*d**3 + 2 - 7 - d - 4 + 8 to the form s + g*d**3 + z*d**2 + h*d and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-6)\/s**(-4))\/(s**(1\/7)*s*(s*s*s*s\/(s**(-2\/11)*s))\/s)*(s**(-1))**(2\/19)\/(((s**7\/s)\/s)\/((s\/(s*s**(2\/13)))\/s)) assuming s is positive.\nAnswer: s**(-220312\/19019)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-18)\/4 + 4)*-96?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -397*k + 44. Calculate the remainder when v(-1) is divided by 161.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12416997*i**2 + 1316*i + 2864 wrt i.\nAnswer: -24833994","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 - 22. Let g = v + -1. Which is smaller: g or -7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(6*(-2 + sqrt(252)) - sqrt(77)\/(sqrt(55)\/sqrt(5))*-5)**2.\nAnswer: -47644 + 3936*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -3 - -10*6\/2. Let b be (3\/i)\/(2\/12). Suppose b*k**2 + 0 + 2\/3*k = 0. What is k?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 27251?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - 4)\/(58\/4 - 14). Let q be (-4 - v) + (24\/(-3))\/4. Calculate the greatest common factor of q and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5082*t - 5078*t + 144 for t.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = -3*i + 42, -w + 15 = i - 2*w. Is 9 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 + 1 - (26 - 23)) + 2 + -17.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4627.27 centuries to months.\nAnswer: 5552724","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 5 = -3*h. Let b(o) = -6*o**2 + 18*o**2 - 5*o**3 + 10*o + 4 + 1 - 3. Let c(d) = -d**3 + d**2 + d. Let t(p) = -b(p) + 6*c(p). What is t(h)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1937000 to the nearest one hundred thousand.\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 251 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3*c + 224 = 0, c = 4*z + 6*c + 896. Let x = 256 + z. Is x a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -1\/1094228765?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10230 (base 6) to base 5.\nAnswer: 21021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (138*d + 122*d - 355*d)*(-5*d**2 + 5*d**2 + 2*d**4).\nAnswer: -190*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7719 and 332.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 5*p + 9. Let z(k) = 34 + 26*k + 12 + k. Let o(q) = 11*m(q) - 2*z(q). Determine o(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2504 divided by -4?\nAnswer: 626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 473988 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2255*m**3 - 1136*m**3 - 1143*m**3.\nAnswer: -24*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 11*t + 5 - 2*t - 5*t - 2*t. Let v(i) = -3*i - 9. Let p be (-69)\/12 - (-2)\/(-8). What is p*v(j) - 11*l(j)?\nAnswer: -4*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5073 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.3 + 2. Let g = -3.9 + w. Let d = -3.3 - g. Which is smaller: -2\/7 or d?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**3 - 7*l**2 - 4*l + 10. Calculate m(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q. Let d be x(-5). Suppose -w + 1 = d. Let l = 12 + w. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 + 23*t + 35. What is a(-6)?\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -117 (base 12) to base 8.\nAnswer: -243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xrxxrfsrfr. What is prob of sequence rsfx?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -21 + (-34 - -45)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 156*u - 16 = 152*u. Solve 12 = u*o - 5*q - 19, 3*o = -5*q - 3 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 77911.00103474 - 77911. Round r to four dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = i + 1. Let f(o) be the first derivative of 4*o**2 - 17*o + 4966. Determine f(r) - 6*t(r).\nAnswer: 2*r - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 143\/8 - (1128 + -1110)\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 292\/7*f - 97\/7 - 1\/7*f**4 + 100\/7*f**3 - 42*f**2.\nAnswer: -(f - 97)*(f - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 10*i**3 - 2*i**2 - 3*i + 1. Let h be y(-2). Let q = h - -123. Find the first derivative of -75 + q + 32 - 7*p**3 - 3*p**2 wrt p.\nAnswer: -21*p**2 - 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**6*(x*x**(3\/11))\/x)\/((x\/(x\/(x**(-2)\/x)))\/x*(x\/(x**1\/x))\/x)*(x**0\/(x*x*x**(-1\/6)*x))\/(x**(-3)\/(x\/(x\/(x**(-3\/7)*x)))) assuming x is positive.\nAnswer: x**(5087\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 4*j - 33 = 0, 2*p - j = -6*j + 45. Suppose 2*x + d - p = 0, 11 = 2*x + 2*d - 7. Suppose 0 = -4*o + 5*y + 734, x*o - o = 3*y + 911. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a litre in millilitres?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1134) + sqrt(1134) + sqrt(1134) + 2*sqrt(1134))\/((1*sqrt(56))\/sqrt(8)))**2.\nAnswer: 4050","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57596.09 micrograms to grams.\nAnswer: 0.05759609","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of 0*a - 5*a**2 + 0*a**3 - 1\/12*a**4 + 0. Let d(h) = -h. Determine d(r(t)).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 6*a - 39. What is the remainder when 41 is divided by f(10)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -2*b - 1. Let l(t) = 11*t - 24. Give 8*f(c) + l(c).\nAnswer: -5*c - 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 21250?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 3*m**2 - 27*m - 905. What is the tens digit of u(-41)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1030 divide 18200629?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -5536*a - 330. List the prime factors of s(-3).\nAnswer: 2, 3, 2713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and 0.1403528?\nAnswer: -0.04210584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1433 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 572.301 - 572. Let j = c + -0.201. Sort j, 3\/4, -1, 0.04.\nAnswer: -1, 0.04, j, 3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 67836 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 176 - 262. Let j = 97 + b. What is the highest common factor of j and 297?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/294 and 149\/210.\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -l**3 - 3*l**2 + 159*l - 2945?\nAnswer: -3*l**2 - 6*l + 159","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -5, -1\/4, -2\/9, -0.169?\nAnswer: -0.169","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-14 + 94)\/(2\/2). Suppose -p = p - y. Calculate the remainder when 78 is divided by p.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0018 less than 29?\nAnswer: 28.9982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42)\/77*2*((-33)\/(-54))\/(-11).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 409153 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2659.\nAnswer: 2659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 8*x**3 - 5*x**3 + 4 + 2*x**3 - 11*x + 10*x**2 - 4*x**3. Let v be l(-11). Solve -v = c - 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*f**3 + f**4 - 14*f**3 + f**2 + 16*f**3 as m*f**2 + g*f + t*f**3 + p*f**4 + y and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -3*a + 4, 4*n = 2*a - 0*n. Suppose a*d + d - 36 = 0. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -4*d + 2, 5*d + 7 = -4*i + 10*d. Suppose 2*f = 0, 0*f - 5 = -5*p - i*f. What is the smallest value in p, -5, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**3*h\/(h*(h*h**(-7\/4)*h)\/h)*h**5\/h**(-1\/2))\/(h**(-7)*h\/(h*h*h*h**3)*h)**(8\/17) assuming h is positive.\nAnswer: h**(981\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/((m\/(m\/(m**29\/m))*m)\/m*m*m)*m\/m**10*((m**(-10)\/m)\/m)**14 assuming m is positive.\nAnswer: m**(-206)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1\/(5\/17))\/(-6 + 279\/45). Let i(m) be the first derivative of 570*m**2 + 34295\/4*m**4 + 40*m - p + 3610*m**3. Factor i(n).\nAnswer: 5*(19*n + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 48\/5 of a litre?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1163419 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (26 - (73 - 75)) + 1 + -21\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -254 - -601. Let j = s - 127. Calculate the highest common divisor of j and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24875027 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -79808 to the nearest 1000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2\/15, 0.013, -0.3, -2 in decreasing order.\nAnswer: 2\/15, 0.013, -0.3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of -a**5\/60 + 11*a**4\/24 - 7*a**3\/3 + 11*a**2 - 2*a - 48. Let s(k) be the second derivative of u(k). Give s(10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 + 9*b + 6. Let k be (-2)\/(-2) + (-8)\/(-4). Suppose 3*r - t = 29, 0 = r + 5*t - 2 + k. What are the prime factors of v(r)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -95467551 divided by 48387\nAnswer: -1973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h + 3. Suppose -3*w = 5*s - 9, -s - 2*s = -3*w - 15. Let i be 1*(-6)\/s - -5. Let d be t(i). Is 1 <= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -24*i**2 - 4353*i + 4344. Let m(w) = 3*w**2 + 544*w - 543. Let g(p) = -4*h(p) - 33*m(p). Factor g(l).\nAnswer: -3*(l - 1)*(l + 181)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 15*g**2 + 5*g + 2. Let x(h) = h**2 + 15*h + 55. Let u be x(-7). Let c be o(u). Factor -19*d - 5*d + 1 - c*d**2 + 37 - 6 + 4*d**3.\nAnswer: 4*(d - 4)*(d - 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-40)\/(-540)*27).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**2 - h - 1. Suppose 0 = 4*s + 5*m - 0*m + 189, -5*s - 190 = -3*m. Let w = s - -40. Let n(x) = 4*x**2 - 6*x - 6. Give w*n(i) + 6*g(i).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -55 * 2251130\nAnswer: -123812150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 9 + 3)*(9 + 2 - 8 - 35*c)*(c - 2*c - c).\nAnswer: 1190*c**2 - 102*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z**2 + 22*z + 16. Let d be q(-11). Suppose 2*f - 2*a - 18 = -a, 0 = -2*f + 2*a + d. Solve -f = b + b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 117 = -4*d + 137, d + 7 = -3*c. Solve d*k + 4*v + 10 = 0, -4*k - 11 = -v + 6*v for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/35)\/((-78)\/(-260)).\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 l when two letters picked without replacement from {s: 5, d: 3, r: 2, f: 5, l: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4429*w - 4425*w - 8 = 0. Let a(s) = 3*s + 2. Let o(u) = u. Give w*o(j) + a(j).\nAnswer: 5*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 4*f - 8 = 0, 4*d - 5*f - 7 = -19. Suppose -d*r = -r - 7. Suppose 2*b = r*b - 10. Solve b = x - 1 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 36\/(-14)*(52\/12 + -9). What is the hundreds digit of (41972\/16)\/7 + (-9)\/l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (96 - 11)*(28\/24 - (-7 - (-215)\/30))?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*u + 4*u - 2*d + 180 = 11*u, -3*d = 3*u + 42 for u.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 smaller than -2\/153629?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-8\/11)\/i**(-29) assuming i is positive.\nAnswer: i**(311\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 241469, 241391, 241257, 241067, 240821, 240519, 240161?\nAnswer: 239747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*((-1)\/2 + -1). Let f = -3 - -5. Let k = -4.9 + -0.1. What is the third biggest value in o, f, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -857, -6399, -21311, -50279, -97989, -169127, -268379?\nAnswer: -400431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 6*x**2 + 2*x - 3. Let b be o(1). Solve -2*z - 35 = 3*z - b*f, 2*z - f + 10 = 0 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from liib. Give prob of picking 1 l and 1 b.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23\/18 - -19\/18. Which is the third biggest value? (a) -1\/5 (b) f (c) 31 (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 11, l: 3}. What is prob of picking 1 s and 3 l?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) be the first derivative of 1565*r**2 - r**4 - 10 - r - 1565*r**2. What is the first derivative of u(q) wrt q?\nAnswer: -12*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -7 + l + 2 + 1. Let v be o(5). Let y be (-1 + -2)*(v - 2). What is the highest common divisor of y and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from {u: 3, p: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 305 - 153. Is 29 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, 66, -3, 17, 274 in descending order.\nAnswer: 274, 66, 22, 17, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y - 1. Let b(r) = r**2 - 53*r + 217. Let t be b(5). Let p(o) = 23*o**3 + 23*o - 23. Calculate t*j(q) + p(q).\nAnswer: 23*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 + -32?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 87162769*j**3 + 70826776*j wrt j.\nAnswer: 522976614*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 12:02 PM?\nAnswer: 6:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 706*y**2 + 1311*y**2 + 955*y**2 - 94*y**2 + 1196*y**2 - 118*y**2.\nAnswer: 3956*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 18964*k = -18958*k + 19, k = -50*n + 2455 for n.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*k - 5*v - 88 + 48, -10*v = 3*k + 80 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 7, i: 2}. Give prob of picking 2 o.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1872) - (1 + sqrt(13))*2 - (sqrt(130)\/(sqrt(5) + sqrt(10)\/sqrt(2) - sqrt(5)))\/(2*sqrt(162)))**2.\nAnswer: -358*sqrt(13)\/9 + 417829\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:53 PM and 6:10 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a + 24*a**2 + 30*a**2 - 13*a**3 - 51*a**2 + 3*a + 2. Let u(m) = 11*m**3 - 3*m**2 - 2*m - 1. Let n(j) = -6*u(j) - 5*v(j). Calculate n(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes before 7:52 AM?\nAnswer: 4:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(5*(0 + sqrt(1584)))**2*4.\nAnswer: -950400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1318831*f**3 + f**2 - 72*f + 274992581?\nAnswer: -3956493*f**2 + 2*f - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, -17, 4\/5, -12, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 333270409 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2559 - -4016. Let t = l - 1457.819. What is t rounded to 1 decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z**2 - 6*z + 9. Let x be h(2). Suppose t - x = 2. Suppose -t*n + 120 = -n. What is the remainder when n is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -164, -145, -120, -95, -76?\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-348)\/580 + 126\/10. Solve -5*f = -y*f - 21 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21895 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiii when four letters picked without replacement from iijiji.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 900 is divided by 371?\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9573 - -22525. List the prime factors of c.\nAnswer: 2, 1619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 202221 - -200?\nAnswer: 210121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u + 17. What is the units digit of x(7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 30795, 30800, 30805, 30810, 30815?\n\"Answer: 5*o + 30790","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 PM and 4:47 PM?\nAnswer: 88","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/3 + k\/3 - 2\/3.\nAnswer: (k - 1)*(k + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1614238460.\nAnswer: 2, 5, 80711923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -126 + 3905\/31. Suppose -2*g + 3*j - 3 = 5, 0 = -4*j + 8. Which is smaller: x or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + -2. Let h = -2184\/5 - -437. What is the nearest to -0.1 in 2\/3, q, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3965 * -1.8\nAnswer: -7137","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.1, -34, -1\/4, 2\/1173 in ascending order.\nAnswer: -34, -5, -1\/4, 2\/1173, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1738 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 15856, 15854, 15852?\n\"Answer: -2*y + 15858","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + 7)\/((-21)\/42). Let j be -3 + 1 + (-13 - v). Let h be (j + (-2 - -4) + -2)*-2. Solve 0 = 2*z, 2*y + 4*z = h*z + 6 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*j - 3*j + 6*j)*(4 - 2 - 4) + 3844*j + 15319*j + 2153*j + 15110*j + 13468*j - 2795*j.\nAnswer: 47101*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -10 + 9 - (0 + -4) - -3.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 15*a = 17*a - 3983, 0 = -4*p - 2*a + 15908. What are the prime factors of p?\nAnswer: 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -217.213183 to the nearest ten.\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of -u**3\/3 - u**2\/2 + 2*u - 18. Calculate j(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 10*x - 274. Calculate the remainder when x is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/16? (a) 189 (b) -0.1 (c) 85 (d) -2 (e) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2002321002 + -1231?\nAnswer: -2002322233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -144.\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(sqrt(28)\/sqrt(4)*-4) + -1.\nAnswer: -1 - sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1531, 1428, 1325, 1222, 1119, 1016?\n\"Answer: -103*w + 1634","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 62\/165 and 13\/99?\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26 - -19. Do -1 and n have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (116\/(-348))\/((-1)\/(-3)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 293695 is divided by 93.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) 2 (c) -4\/5 (d) 0.3827\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -153675*d**3 - 675*d**2 + 675*d + 675. Let i(m) = 456*m**3 + 2*m**2 - 2*m - 2. Give -675*i(k) - 2*q(k).\nAnswer: -450*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 31 + -46. Let b be 5\/(q\/(-9)) - -103. Suppose 0 = -0*s - 2*s + b. What is the remainder when s is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five sixths of a minute in milliseconds?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 22 = 4*g - g, 0 = g - 3*q - 11. Suppose 4*t + 4*c - 25 = 7, 2*c = 4*t - g. Solve 3*p - t = 8 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 48*f**4 - 81*f**3 + 246*f**2 + 26093*f + 586?\nAnswer: 576*f**2 - 486*f + 492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -28305, -28316, -28333, -28356, -28385, -28420, -28461?\nAnswer: -28508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -4*s - 9 - s + 29 - 2*s. Let w be r(5). Let x = 31 + w. Calculate the least common multiple of 5 and x.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/2 (b) 3 (c) -0.023\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of -1\/30*n**5 + 0*n - 1\/24*n**4 + 0*n**3 - 3*n**2 - 1\/12*n**6 + 0. What is the units digit of c(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 57589158?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/620 and 19\/4340.\nAnswer: 4340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -52*r**5 - r**2 + 576*r wrt r.\nAnswer: -1040*r**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 89\/342?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -65, -65, -67, -71, -77?\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/((-24)\/2))\/((46764\/9288)\/(-433)).\nAnswer: -43\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-28)\/49)\/(53*(-9)\/(-126882)*1*4).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:04 PM and 12:17 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 29 and 754?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 314651 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 479*r + 134*r**4 - 17*r**4 - 480*r + (1 - r - 1)*(r**2 - r**2 + r**3) to x*r**2 + j*r + h*r**3 + n*r**4 + c and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**10*o)\/o**1)\/((o**(-7)*o)\/o**7) assuming o is positive.\nAnswer: o**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 248 - 250.02. Let f = g - -2. Is f less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169638 is divided by 499.\nAnswer: 477","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*p**3 + 0*p**3 + 6*p**3 - 21*p**3 + 45*p**3 - 62*p**3.\nAnswer: -56*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -3010122203 (base 4) to base 3\nAnswer: -1111212120212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 12) to base 4\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-660)\/2*37\/(-111). Let n be 2\/(-8) + (-111)\/4. Let u = n + r. Is u a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 310529 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.567 + -5235433.42\nAnswer: -5235433.987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**3 + 8*d**2 + d - 3. Let z be m(-6). Let f = z - 314\/5. What is the nearest to 0 in 1\/4, f, 4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.8 - 0.2. Let r = 4 + u. Let w be (-6)\/28*(0 - 2). Put r, w, -2\/5 in increasing order.\nAnswer: -2\/5, w, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3318084, -3318088, -3318094, -3318102, -3318112?\nAnswer: -3318124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -103 + 1231?\nAnswer: 1122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16 - 14. Suppose 3 = -2*g + 3*g. Let s(n) = -4*n**z + 2*n + g*n**2 - 6*n. Calculate s(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2\/5 - -26\/15. Let f(q) = -q**3 - q**2 + 4*q - 6. Let u be f(-3). Let o be 9\/(0*(-1 + u) - -5). Which is the closest to 0? (a) o (b) 3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i**5\/5 - 1296*i**4 + 77964*i**3\/5 - 273064*i**2\/5 + 338166*i\/5 - 136584\/5 = 0. Calculate i.\nAnswer: -3252, 1, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + 2 + 5*1. Let v(x) = -27*x**2 - k*x + 12 + 13*x**2 + 9*x**2 + 6*x**2. Let p be v(2). Which is the nearest to -1\/11? (a) 0.5 (b) -1\/3 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 times -7826366?\nAnswer: 500887424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -106, -379, -832, -1465, -2278, -3271?\nAnswer: -4444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by -979944.\nAnswer: 1\/979944","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -48.1 + 6.1. Let y = l + 41.6. Let n(b) = -b**2 + 4*b + 1. Let c be n(2). Put c, -3, y in decreasing order.\nAnswer: c, y, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48090119.\nAnswer: 7, 11, 8111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -88.3 less than 0.2?\nAnswer: 88.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -12*w + 2. Let s(i) = 36*i - 5. Calculate -11*r(y) - 4*s(y).\nAnswer: -12*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4173048*n**3 - 3172017*n**2.\nAnswer: 25038288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 264211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 5*b - 145, -83 = 2*m - 5*m + 4*b. Let u = m - 28. Is u <= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 13*v - 8 + 3*v + 36 - 4 - 15 in the form x + k*v and give x.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z - z - z)*(864 + 182 + 818 + 336 + 10).\nAnswer: 2210*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -19*s**2 + 2*s. Let a(r) = -518*r**2. What is q(a(x))?\nAnswer: -5098156*x**4 - 1036*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*w + 3301*n - 3299*n = 46, 3*n - 30 = w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3407, 6809, 10205, 13595, 16979, 20357?\n\"Answer: -3*q**2 + 3411*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2947963 and -282.\nAnswer: -2948245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/((-3)\/351*-6). Does 7 divide 2 + (-24)\/4 - i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -5680*j**2 + 5*j - 5 + 4 + 4*j. Let h be m(9). Round h to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes before 7:27 AM?\nAnswer: 5:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d - 6*d - 300 = -4*c, 0 = -4*c. Let q be (d\/(-14))\/(16\/(-56)). Solve 2*u = 5*m - 22, -3*m = m + u - q for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -966 - -89?\nAnswer: -888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 - 162*x - 5551. Give r(-113).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 24981251 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + 3 + 2 - 2. Let q be 20*((-165)\/(-12) - y). Suppose 4*s = v - 4*v - q, 4*v = s + 49. What is s rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -49370, -47156, -43466, -38300, -31658, -23540?\n\"Answer: 738*u**2 - 50108","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-15)\/(-3) + 3*20\/(-15). Does r = -1\/197?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of r**6\/2 + 1217*r**3 - 5546*r**2 + 7050. Find the second derivative of h(x) wrt x.\nAnswer: 60*x**3 + 7302","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*w - 23*w + 6912 = 18*w. What is the greatest common factor of 28 and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4442*h**3 - 32 + 32.\nAnswer: -4442*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*(-190)\/(-20) + -23)*13?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*o**2 - 995 + 16*o**2 + 990.\nAnswer: 5*o**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 12 + 3 = 0. Solve p**4 + 3*p**2 - 5*p + 7*p - 5*p - 4*p**4 + 3*p**b = 0 for p.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(325) + 1 + sqrt(325))**2 - (-2*sqrt(13) + -5).\nAnswer: 22*sqrt(13) + 1306","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -539778 - 0.06?\nAnswer: -539778.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k. Let l be a(6). List the prime factors of (117\/27)\/((-2)\/l).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 222202120220011011 + 10?\nAnswer: 222202120220011021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21*3\/945)\/(9\/54).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1185 - 1187. Which is smaller: -111\/43 or w?\nAnswer: -111\/43","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b2 - 40?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8802 and 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 l when three letters picked without replacement from tlxejeilliii.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.0191 - 0.012. Round l to 3 decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-12)\/(-27) + 8\/(-18). Suppose -2*p + t = u - 17, -3*p + u = -28. Calculate the greatest common factor of 441 and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 35158718?\nAnswer: -1\/17579359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33643.\nAnswer: 17, 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5031.3 (b) 7\/15 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 241 (base 16) to base 11\nAnswer: 485","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2373756294?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0 - -1 - (314 + -136 - 171)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m + 1. Let o(a) = -108 + 2*a**2 - 114 + 225. What is 2*j(h) - o(h)?\nAnswer: -2*h**2 - 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 0 + 9 = -3*l, -13 = 3*c + l for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 5*m + 205, 151 = -4*b - 5*m - 58. Let v = -34 - b. Solve 0*i - 3*i = v for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k = 8*k + u - 5, 16*k = 21*k + 120*u + 340 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -265, -553, -849, -1153?\nAnswer: -1465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58 divided by 45756.\nAnswer: -29\/22878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -198747*i**2 + 9*i + 6. Suppose 2*y + 12 = 2*d, -y + 10 = -4*d + 7*d. Let a be m(y). Round a to the nearest ten thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*-11179.502\nAnswer: 44718.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/261216 and -91\/299310.\nAnswer: 14366880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 158 minutes before 8:48 AM?\nAnswer: 6:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 3 + 7*y - 2*y**2 - y**2 - 3 + 5 - y**3. Let n be v(-5). Is ((-31)\/(-2))\/(2\/n) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -t + 4*y, -4*t - y = -8*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 7995835 to the nearest integer?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -r**2 - 7*r - 6. Let d be a(-5). Suppose -d*m = -7*m + 9. Suppose 5*o + 3*q - 344 = 0, 0 = m*q - 0*q - 9. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8069 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**3\/7 + 261*w**2\/7 - 2592*w\/7.\nAnswer: 3*w*(w - 9)*(w + 96)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -46 + 28. What is the highest common divisor of u and 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/126 and 115\/234.\nAnswer: 1638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of j**2 - 39785*j*w**2 + 83776*w**2 wrt j?\nAnswer: 2*j - 39785*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*(k**(-2\/3)*k)\/k)**20\/(k**(1\/3)*k)**(-6)*((k\/k**(-1))**(-15))**26 assuming k is positive.\nAnswer: k**(-2296\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -79, -12, 273, 896, 1977, 3636, 5993, 9168?\n\"Answer: 20*g**3 - 11*g**2 - 40*g - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 212557419?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 6*j**2 - 19*j + 23. What is the remainder when a(12) is divided by 55?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of x**3\/6 - x**2 - x - 43. Let u be 119\/28 - (-1)\/(-4). Let f be q(u). What is the greatest common divisor of 10 and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(209) - (sqrt(209) + sqrt(209) + sqrt(209)*-2))\/sqrt(11) + -4 + (-1*(0 + sqrt(19)) - (0 + sqrt(171))).\nAnswer: -3*sqrt(19) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2062\/40*130\/1445. Let p = q - -18\/289. Let a(o) = 16*o + 1. What is the common denominator of a(2) and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 325590?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.5320952 and -3?\nAnswer: 2.4679048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t + 5. Let v(q) = 2*q - 12. Let d be v(8). Let x be h(d). Let g(p) = 0 - 2 - x + p + p**2 + 4. What is g(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -3287*w**2 - 170921*w + 172. Calculate u(-52).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together 22.92 and -7.\nAnswer: 15.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 276335 is divided by 152?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 624 + -626. Let x be (1\/(-2))\/(4\/(-72)*-4). Which is the smallest value? (a) x (b) 0.1 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 - -1)\/(7\/49). Let u(x) = -x**2 + 5*x - 4. Let n be u(4). Let w(r) = r - 9. Let c be w(5). Put k, n, c in descending order.\nAnswer: n, c, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 - 9*x - 1. Let u(q) = -15*q**2 + 100*q + 3164. Let n(v) = -9*s(v) - u(v). Find the first derivative of n(g) wrt g.\nAnswer: 12*g - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 447 is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1837215 (base 10) in base 4?\nAnswer: 13000202133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -28902193 or -28902192?\nAnswer: -28902192","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3952 + -3952. Which is smaller: -29\/191 or f?\nAnswer: -29\/191","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 13*f**3*h**3*w + 6246364*f**3*h**2*w**2 - f**2*h*w**2 - 12323*f*h**3*w**2 + f*h**2*w**2 + 3*f*w**2 - 11*h**3 wrt f.\nAnswer: 78*h**3*w + 37478184*h**2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -2. Let h be 47 - ((-11750)\/(-200) + -12). Which is the closest to r? (a) 2\/7 (b) h (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 4*g - 6, 0*t + 2*t + 5*g + 12 = 0. Let d(f) = -6*f - 9. Calculate the remainder when d(t) is divided by 4\/4*(4 + 6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -4*j**2 - 3*j - 1. Let f(z) = -2*z**2 - 2*z. Give -5*f(b) + 2*u(b).\nAnswer: 2*b**2 + 4*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*p**4 + 59617*p**2 + 78335334*p wrt p?\nAnswer: -24*p**2 + 119234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 + 6*v**2 + 11*v + 114. Determine u(-8).\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14879, 14028, 13183, 12344, 11511, 10684, 9863?\nAnswer: 9048","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -53330, -213322, -479974, -853286?\nAnswer: -1333258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -20\/42854807 and -53\/2428.\nAnswer: 171419228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -96*s. Let n(w) = 7*w + 35. Let c(d) = 40*d + 196. Let i(l) = 5*c(l) - 28*n(l). Determine v(i(r)).\nAnswer: -384*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 41*q + 2549. Give k(-62).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h - 2. Let a(g) = 2*g - 2. Give -4*a(n) - 6*m(n).\nAnswer: -2*n + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 104*c**3*h*y - 47422515*c**3*y + 6*c*y + 2138000*h*y with respect to h.\nAnswer: 104*c**3*y + 2138000*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-15)\/(-4))\/(15 - 1239\/84). Solve -5*i = -3*i + 3*h + 7, -5*h = 5*i + f for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 43\/52 - 14\/13. Suppose -4*w = 0, 0*x - 2*x + 4*w + 6 = 0. Suppose 4 - 1 = -x*i. Which is smaller: b or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85\/(29155\/(-1568))*7?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 18 (b) 1 (c) 12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100*b**2 - 1081*b**2 + 1137*b**2.\nAnswer: -44*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by 471.\nAnswer: 2\/471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3)\/((-9)\/12) + -1. Let w = 47 - 45. Solve -3*k - j = 2*k - 3*y, 2*k = -w*y - 14 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152 a factor of 26718?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(-110))\/(22\/(-132))\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 422881630?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -11*z + 11*z + 673*z**2 + 0*z. Is h(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 - 2. Let t = 0.5 + 8.5. Let i = 9 - t. Are n and i unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1944631 or -2\/5?\nAnswer: -1944631","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4284?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 584 in 0.5, 0.4, 1\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 244 - 93. Let p = -101 + h. Is 25 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 402 - 403. What is the nearest to t in 1.6, -4, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 + 115*f**2 - 341*f - 39228. Determine y(-115).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Do -3936229 and -3936231 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1144342233?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**2 - 65*n - 399. Determine v(-6).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2808 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 6 + 12*x + 4*x + 1.\nAnswer: 16*x + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3299567786 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2704223257.\nAnswer: 1907, 1418051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -226, -230, -232, -232, -230?\n\"Answer: n**2 - 7*n - 220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4754 is divided by 1112?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1872) + -4*sqrt(1872) + (2*sqrt(39) - sqrt(39))\/sqrt(3) + (sqrt(104) - (-1*sqrt(104)*4 - sqrt(104)))\/(-2*sqrt(512) - sqrt(512)).\nAnswer: -141*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -167935 + 170954.44. Round d to the nearest one hundred.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 218 - -2 - 0 - (-40 + 39) is divided by 39?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.69, 2\/99, -307 in descending order.\nAnswer: 2\/99, -0.69, -307","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = 8 - 17. Suppose 0 = -2*x + z + 1239, -b*z + 1842 = 4*x - 641. What are the prime factors of x?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + (3 - -3 - 3) - 11 - (2 - -34).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2056 + 2033 - (-2 - 573\/27). Factor 40\/3 - 10\/3*x**2 - n*x**3 + 8\/9*x.\nAnswer: -2*(x - 2)*(x + 2)*(x + 15)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) 4148 (c) 1 (d) -3 (e) -1563\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 983*c - 1 = 4*n + 984*c, 0 = 6*c - 9*c - 15 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 10:20 AM?\nAnswer: 3:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the first derivative of 0*s - 27 - 32\/5*s**5 + 0*s**4 - 12*s**3 + 0*s**2 + 1\/6*s**6. What is the third derivative of g(c) wrt c?\nAnswer: 60*c**2 - 768*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60783.\nAnswer: 3, 20261","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 58745 + -1?\nAnswer: 58744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v + 1880*v**3 + 6*v - 6 - 2*v - 1889*v**3. Suppose -3*t + 12 = -t. Let f(i) = 10*i**3 - 6*i + 7. What is t*y(q) + 5*f(q)?\nAnswer: -4*q**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 8 = -2*g, 5*g - 20 = k + k. Let w be (7 + 11)\/1 - (-3 + k). Solve -5*s - w = 4*i, 2*i - 2*s - 7 = -s for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/18*5*9\/(-195)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-71 + 220 - 18)*(2 - 2 - 1)*(2*j**2 - 2*j**2 + 2*j**4).\nAnswer: -262*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 5, s: 5, g: 3, l: 2}. Give prob of picking 2 o.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/11776 and 87\/2059328.\nAnswer: 16474624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*(a\/(a**(-6)*a))\/a)\/(a*a\/a**(-1))*a**(1\/2)\/(a*a*a*(((a\/(a*a*a\/(a*a**(1\/5))*a))\/a)\/a)\/a))\/((a*a**(2\/7))**(-3))**32 assuming a is positive.\nAnswer: a**(9011\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 d when two letters picked without replacement from {k: 1, d: 2, y: 1, e: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6329004245 to the power of 1\/5, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**11\/((v**(-43)\/v)\/v)*((v*v*v**(-42))\/v)\/(v\/v**(-12)) assuming v is positive.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -27 greater than -6963\/254?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of 2*c**7\/15 + 11*c**4\/8 + 12*c**2. Find the second derivative of a(z) wrt z.\nAnswer: 336*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 11 (b) 1\/3 (c) 2.1545881\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 138 and 7751?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 116 and 1044?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.1 and -30226391\/2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -0.5, -10\/9, -35?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -9*g - 3354*g**2 - 4*g**3 - 49 + 5*g**3 + 3368*g**2. Is n(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -16, 1\/9, 2\/175, 0.0143?\nAnswer: 2\/175","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-123)\/(-39) + 34\/(-221)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 24\/263 (b) -1.13 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2651 - 2553. Calculate the remainder when u is divided by 77.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1500 divided by -150\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*m + 217 = -89 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119*f - 120*f = -3*x - 4, -4 = -x + 3*f for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-20) + (-3)\/(255\/(-34))\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -3 - 4 - 8*m + 4*m + 3*m**2. Let j be c(-5). Suppose -75*u = -538 - 287. Calculate the greatest common divisor of j and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 32, 19, -18, -91, -212, -393, -646?\n\"Answer: -2*p**3 + p + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/(48\/(-46) - -1). Suppose -c = 5*m - 123. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31*x + 31*x - 4*x**2)*(4 + 0 - 2)*(2 - 3 + 0) + 0*x**2 - 4*x**2 + 5*x**2.\nAnswer: 9*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of t**8\/108 - 46*t**7\/945 - 11*t**6\/135 + 8*t**5\/135 + 3*t**2 + 69. Determine x, given that b(x) = 0.\nAnswer: -1, 0, 2\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 3*n**2 + 20*n - 15. Let v be d(-7). Is 60 a factor of v\/(-12) + (-2690)\/(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20601300469 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -6*o. Let f(p) = -286343*p. Give f(n(r)).\nAnswer: 1718058*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 5927.117 to the nearest one hundred.\nAnswer: 5900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 8 - -7 - 7\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 284 by 9.\nAnswer: 284\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/15)\/(v**(1\/2)*v*v)*v**(-1\/7)*v**(-1\/2))\/((v**1)**(-45))**(-1\/47) assuming v is positive.\nAnswer: v**(-19577\/4935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u\/u**8*(u\/(u\/(u*(u\/u**(3\/7)*u*u)\/u)))\/u*(((u\/(((u*u**1\/u)\/u*u)\/u))\/u)\/u)**10*((((u\/(u\/(u\/(u**10\/u))))\/u)\/u)\/u**(-2\/11))**(1\/94) assuming u is positive.\nAnswer: u**(-56214\/3619)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j**4 + 1 - 1 + (0 + 2*j + 0)*(0*j - 2*j**3 + 0*j) - j**2 - 3*j**4 - j**4 - 4*j**3 + 8*j**3.\nAnswer: -10*j**4 + 4*j**3 - j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d + 2*b = 4*d + 202, -b = -3*d + 149. Suppose -d*k + 1685 = -2715. Does 8 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/((-3)\/52))\/((-8)\/348). Is (((-40)\/15)\/(-8))\/((-2)\/g) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.6295 - 0.3705. What is the third biggest value in -0.1, 59.3, 0.4, r?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (582\/(-700))\/(930\/775) and -55\/32.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 3946, 3943, 3940?\n\"Answer: -3*m + 3949","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14077364 is divided by 27?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -84440 to the nearest 1000.\nAnswer: -84000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (3 + (-42)\/20)\/((-183)\/366)\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by -66.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3064031 - -3064047.15587. Let m = j - 2.15676. Let u = m + -14. What is u rounded to 4 dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 109, 142, 201, 292, 421, 594, 817?\n\"Answer: c**3 + 7*c**2 + 5*c + 96","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 73795333 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/39 + (-2)\/10*(-475)\/(-247)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 0*c + 2*c + 2 - 2. Let x be ((-4)\/(-5))\/(6\/15). Let d(t) = 3*t**2 + x*t**2 - 7*t**2. Determine d(s(o)).\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((315\/(-18))\/7)\/((434330\/(-104))\/(-13))?\nAnswer: -2\/257","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2147 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -111*r - 68*r + 23449. Solve -10*t + r = 101 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-5))\/(((-224)\/(-14))\/(-80)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express i**2 - 2*i**3 - i**2 + (-6*i + i + 4*i)*(-5*i**2 - i**2 + i**2) as n*i**3 + g*i**2 + l + a*i and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 83 + (-6912)\/72 + (-141)\/3.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -5*h. Let a(f) = -65*f - 5*f**2 + 35*f + 30*f. Calculate a(w(b)).\nAnswer: -125*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 929 = 4*a + 881. What is the remainder when 416 is divided by a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.3354*0.05.\nAnswer: 0.31677","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 97.328*15\nAnswer: 1459.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (24\/4)\/((-2)\/((-16)\/(8000\/10))).\nAnswer: 3\/50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 712*h**2 - 1056*h**2 - 1954*h**2 - 2866*h**2.\nAnswer: -5164*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of -5*o**3\/3 - o**2 - 4. What is the second derivative of k(n) wrt n?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -397*o - 13674 = 371*o + 1511*o for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9270 to the power of 1\/2, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 140\/9? (a) 2\/9 (b) 0.12 (c) -0.4 (d) -61\/2 (e) -23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16294 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-0.35.\nAnswer: -1.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**2 + 302*o + 300 = 0. Calculate o.\nAnswer: -150, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (-3 + -5 + 1 - -4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.25 - 0.15. Let n = -1.1 + d. Let z = -51 - -50.7. What is the third biggest value in z, 5, n?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9378)\/(-8) - (169\/52 + -3). Suppose 3*s = 6*j - 7*j + 404, -3*j - s + i = 0. List the prime factors of j.\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2*r - 14. Let w be r - 4 - 8\/(-2). Suppose -5 = -3*p + w. Solve 2*q = -p + 10 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 take away -3.814553?\nAnswer: 3.614553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -537*p. Let w(c) = -37*c. Calculate x(w(r)).\nAnswer: 19869*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*v = 90*v + 2262 for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7473*b + 399 = -7494*b for b.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72 is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 7) to base 10\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 464 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -2*n + 3. Let u(c) = 25*c**2 - c + 1. Let q be u(1). Suppose -o + q = -6*o. What is the units digit of v(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14968 + 14968 + 1438*i.\nAnswer: 1438*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9590.39 litres?\nAnswer: 9590390","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 50, 47, 44, 41?\n\"Answer: -3*c + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 381619037 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 5}. Give prob of sequence www.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2 - 3605379*j - 3605378.\nAnswer: -(j + 1)*(j + 3605378)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1581001 = -441*v - 1270505. Sort v, 3, 4 in ascending order.\nAnswer: v, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -2*c**2\/7 - 218*c\/7 + 220\/7 = 0.\nAnswer: -110, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 10:49 PM?\nAnswer: 8:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*p - 266 + 683 - 6*p to n*p + m and give m.\nAnswer: 417","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -3*2\/(-18)*231 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -10887 - 1?\nAnswer: -10888","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 3*u + 1. Let i = -11 + 12. Let j be z(i). Solve j*v - 20 = -8 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 8 = 2. Let h be 17\/3 - 2\/3. Solve -a + t = 0, h*c - a - 1 = 6*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (52\/455)\/(2\/(-5)) - 0.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -279, -1432, -3397, -6192, -9835?\n\"Answer: -3*m**3 - 388*m**2 + 32*m + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 - (14 - (-9 + 4 - 23)).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29561 - 29561.0000029256. Round t to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 AM and 9:25 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 31164656?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 791 divided by 35.\nAnswer: 113\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 7:41 AM?\nAnswer: 5:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4555\/3 - 1518. Factor q*o - 2\/3 + 1\/3*o**2.\nAnswer: (o - 1)*(o + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20.1 - 20.061. Let m = -0.029 + l. What is the smallest value in -2\/15, m, 5\/4, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -311200 (base 4) in base 14?\nAnswer: -1368","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 - -a21?\nAnswer: a21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 + (-2 - 1) + 11. Suppose -4*r = -i*r - 360. Let h = r - -120. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -214572*b**3*n**4 + 2*b**3 - 17*b*n**2 + 125 wrt n.\nAnswer: -5149728*b**3*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 89*o + 732 - 227 + 652 for o.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 427 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42581087?\nAnswer: 4877, 8731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 5*6\/(-40) - -1\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -564 divided by -289262\nAnswer: 282\/144631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, 457, 0, -0.1, -2 in increasing order.\nAnswer: -2, -0.1, 0, 2\/7, 457","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -307 by 5.\nAnswer: -307\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 122, 159, 194, 227?\nAnswer: 258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 - 1 = 5*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 18 = -6*y. Suppose -10*k + 552 = 13*k. Suppose -14*o + k = -2*o. What is the remainder when y is divided by o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 1 = 2*h. Let p = 5.08 - 3.59. Let a = p + -1.19. What is the third biggest value in 0, a, h, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (49 + (-5 - 14)) - -7.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 3*x**2. Let b(u) = -u**2 - 667500*u. Calculate b(l(p)).\nAnswer: -9*p**4 - 2002500*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(6776))\/sqrt(8))**2.\nAnswer: 3388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -264, -239, -200, -147, -80, 1?\n\"Answer: 7*c**2 + 4*c - 275","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 115 divide 156167470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 277299 divided by -1\nAnswer: -277299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 492 and 5904?\nAnswer: 5904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 6\/5 of a tonne?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r - r**2 + 0*r)*(2*r + 2*r - 3*r) + 0*r**3 + 2*r**3 + 2*r**3 + 20*r**3 + 13*r**3 - 32*r**3 + r.\nAnswer: 4*r**3 + r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 396\/14 - 4\/14. Suppose 7*x = 2*x. Suppose -2*b + 3*b - g = x. Calculate the remainder when b is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/15532 and 71\/9884.\nAnswer: 108724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 137 + -57. Let g = 31 - i. What is g rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*w + 78*w - 48*w - 56 = 0. Let z = -5.07 - -0.07. Let y = z + 8. What is the second biggest value in y, 3\/5, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*x - 308 = -230 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -y**3 - 2*y**2 + 2*y. Let r be x(2). Let z be -3*(-4 - 88\/r). Let b be 30\/4*(-8)\/z. Put 4, -0.3, b in descending order.\nAnswer: b, 4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (216\/(-144))\/(41\/42 - 1) and 1.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the first derivative of -3\/4*t**3 + 23 + 3\/20*t**5 + 0*t**4 + 3\/4*t**2 + 0*t. Find y, given that f(y) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, -19, -40, -61, -76, -79, -64, -25?\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 2744\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 22693993 to the power of 1\/2, to the nearest integer?\nAnswer: 4764","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 21282668 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32484 is divided by 18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -304, -301, -298, -295, -292?\n\"Answer: 3*r - 307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4 - -647) + -2 + (-1)\/(-1). Let q = -644 + j. Let t = 3 - 3.5. Which is the nearest to -1\/9? (a) -2\/11 (b) t (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 + -28. Let o(t) = t**3 + 14*t**2 - 16*t - 11. Let y be o(j). Suppose 0 = -i - y*i + 270. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/545542 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 117*q - 39. Let f be i(4). What is the greatest common factor of 13 and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 37230?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2\/7 (b) 2\/3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11672203*a**3 + 9784639*a wrt a?\nAnswer: -70033218*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 2 = -2. Suppose -z*b + 0 = -4. Suppose b*p = 32 - 2. Is 6 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 388 minutes after 10:07 PM?\nAnswer: 4:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*g**2 + g**2 + 0*g**2)*(1379 - 581 - 609 - 2 + 2 - 2 + (0 + 1 - 2)*(0 + 4 - 2) - 1 - 1 + 0 + 3 + 0 - 1) in the form l*g + i + u*g**2 and give u.\nAnswer: -185","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7.84 + 1.92. Let n = d - -6. Let q = -0.08065 + n. Round q to 4 dps.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 3769*c + 249*c + 4 + 9 - 10.\nAnswer: 4018*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 3127 - 947. Let x = g + -4129\/3. Find the common denominator of x and 11\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 796.6 + -797. Let w = 7 - 7.3. Sort 2\/35, o, w in descending order.\nAnswer: 2\/35, w, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-32)\/28)*(-20)\/(-70)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 - 4. Suppose r - 9 = -2*r. Let l be (r + 15\/(-9))*-3. Let z = 8 + l. Let w(m) = -m**2 + 5. What is z*w(d) + 5*v(d)?\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 17267598 plus -99714?\nAnswer: 17167884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6931 + -6541. What is the smallest common multiple of 156 and d?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -4*y**3 - 2*y**2 + 3*y + 5. Let a be l(-7). Suppose -3*h + a = -5*h. Is h\/(-11) + (-4)\/22 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 759977 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4541421 (base 6) in base 8?\nAnswer: 703225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 453 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a and 1 e when four letters picked without replacement from eaeaeeeeeeeeeeaeee?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**5 - r**5 + 4*r**5 + 5*r**5 + r**4 - r**4 + (r**3 - 6*r**3 + 2*r**3)*(r**2 - 4*r**2 + r**2) + 0*r**5 + 4*r**5 - 5*r**5.\nAnswer: 12*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (10*-2)\/((-39)\/(-45) - 1)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 65*i + 80*i - 145*i + 1123*i**2 to p*i + c + s*i**2 and give s.\nAnswer: 1123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25*n**3 + 47527*n**2 + 3015427*n wrt n.\nAnswer: -150*n + 95054","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 + 9. Let -8*x**2 - 4*x**2 + 2*x**3 - 4 - 90*x + 76*x + a*x**4 = 0. What is x?\nAnswer: -1, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 670227364?\nAnswer: 2, 167556841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k\/k**(-30)))\/k*k*((k*k\/k**(-30))\/k)\/k*k*k*k*k)\/(k\/(k\/(k\/k**(-20\/7)))*k**(-32)) assuming k is positive.\nAnswer: k**(225\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38761854?\nAnswer: 2, 3, 23, 280883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -7*r**2 + 3*r - 9. Let k be a(5). Let i = 709 + k. Round i to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 43 - 143. Let u = p + 150. Suppose -46*s + 48*s + 4 = 3*n, -8*s = 5*n - 120. Calculate the greatest common divisor of s and u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*o**3 + 1 - 42*o - 3*o**2 - 1 + 43*o to a*o**2 + h + v*o**3 + t*o and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.03*178\nAnswer: -5.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + v - 44 = -3*v, -9*j - 48 = -5*j - 4*v for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -337, -4, -3\/4?\nAnswer: -337","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + -10)\/(-2 + 1). Let s be (-22)\/(-187) - -12*48\/306. Determine o, given that -11*o - 2*o**s + i*o = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 - 11*m - 13. Let b be t(-9). Suppose 7 - 43 = -s. Suppose -3*x = -4*a + 10, 3*x + 14 = -4*a + s. Solve -a*u + b = u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - -3) + (3 - (6 - 2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -9.44 * 0.11\nAnswer: -1.0384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a tonne in kilograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 332910065 to the power of 1\/5, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2 - 5*o**4 - 5*o - 5*o**5 + 12*o**3 + 7*o**3 - 9*o**3 - 5 + 13*o**2.\nAnswer: -5*(o - 1)**2*(o + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 203830 divided by -935\nAnswer: -218","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 1 - 26 = 0. Let m = p + 5. Calculate the greatest common divisor of m and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 - (-2 + 16 - 12).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21448605.\nAnswer: 3, 5, 1429907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(((-2992)\/(-102))\/(-22)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**3 - 7*z**2 - 10*z - 5. Let v be j(8). Let b be 2371*((-4)\/7 - 33\/v). Suppose 5*p + b - 401 = 0. Round p to the nearest ten.\nAnswer: -390","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p**2 - 4*p + 1. Let x(w) = -2*w**2 + 5*w - 1. Let a = 1264 + -1270. Give a*x(z) - 7*g(z).\nAnswer: -2*z**2 - 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 99 + 3 - (-1602 + 1641).\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (-7 - -1 - (-63 - -57)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -72*r - 437. Let k be d(-6). Let n(h) = 6*h**2 - 7. Let m(l) = 1 - 1241*l**2 + 1242*l**2 - 2. Calculate k*m(f) + n(f).\nAnswer: f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 10*i + 5 = -2*m, -i - 1 = 2*m. Suppose m = -k + 5 - 4. Let l(x) = -k + 5*x + 10 - 3 + x**2. What is l(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15311323 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/((z\/z**(-3))\/z))**(-24))**(26\/7)*(z\/(z\/(z\/(z**(-3\/4)\/z))))\/(z\/z**6*z)*(z*z**(1\/3))**(-7\/3) assuming z is positive.\nAnswer: z**(45845\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b**2 - 66*b - 400. Let a be k(-9). Suppose 2*i + 1 = 7. Solve -i*t - 5*x = -8, -3*t - a = -4*x - x for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*4\/(-4)*3\/((-54)\/144)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -326, -323, -320, -317, -314?\n\"Answer: 3*t - 329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1029790 - 13564193 = -101*l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 619800734 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 55007 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbrrrbzbb. Give prob of picking 1 r, 1 b, and 1 z.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9096\/3245 - -2\/649. Calculate the common denominator of w and ((-33)\/(-9))\/(2\/(-27)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -577 and -578 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 120*a + 129*a + 125*a + 127*a - 726 - 502*a in the form f + n*a and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -24164018*w**3 - 202802230*w**2.\nAnswer: -144984108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2*b + 5. Let f be y(-3). Which is smaller: -3\/5 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4054199 is divided by 1205.\nAnswer: 579","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14.666 - 15.34. Let w = 0.006 + i. Let c = w - -31. Sort c, 2, 3 in ascending order.\nAnswer: c, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = z + 5*x + 22, -3*x = -5*z + 58. Calculate the remainder when (-39)\/(-2)*(-4)\/(-3) is divided by z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -3*k**2 + 24*k + 42. Let q(f) = -2*f**2 + 12*f + 22. Let b(m) = -5*o(m) + 9*q(m). Factor b(s).\nAnswer: -3*(s + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 224, 511, 798, 1085?\n\"Answer: 287*u - 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 53 + -52.6. Let h = -643 - -637. Put t, -3, h in increasing order.\nAnswer: h, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 39*w**2 + 52*w - 104. Let n(d) = -d + 2. Let g(y) = 156*n(y) + 3*s(y). Let m(k) = 24*k**2. Give g(m(i)).\nAnswer: 67392*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 5. Suppose r + 8 = 5*l, 0*r = 4*l + 2*r + 2. Let i be l*(2 - 10\/6). What is the closest to -2\/7 in z, i, 5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 1.9. Let d = 3 + -3. Let n = d + s. Which is the second smallest value? (a) -4 (b) n (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b = -215 - 160. What is the remainder when b is divided by 39?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 10*q**2 + 11. Suppose -6*h + 290 - 158 = 0. Let c(a) = a**2 + 9*a + 10. Let s(v) = -v - 1. Let x(d) = -2*c(d) - 18*s(d). Give h*x(r) + 4*g(r).\nAnswer: -4*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dpfzppdqpfufdppzpu. What is prob of sequence zpz?\nAnswer: 7\/2448","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -948, -1628, -2316, -3012, -3716, -4428?\nAnswer: -5148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -30*p + 32*p + 2*p. Let w(s) be the second derivative of s**3 - 27*s. Give h(w(v)).\nAnswer: 24*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 2\/9, 2, 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (64 - 8471\/129) + 43\/15.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/660 and 139\/150.\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -247.9 and -0.89.\nAnswer: 220.631","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108*z - 1765 = -5362 - 399 for z.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 229921.\nAnswer: 43, 5347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = -0*z + z + 4*x, 79 = 3*z + 4*x. Calculate the remainder when z is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-q**2 + 2*q - 2*q + (-q + 2*q + q)*(-4*q - q + 3*q))*(-2*q**2 + q**2 + 5*q**2).\nAnswer: -20*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a - 601 - 119 = 0. What is the remainder when 17 is divided by 8\/(-10)*a\/16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -354*m + 431. What are the prime factors of i(-9)?\nAnswer: 3617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -2*q. Suppose q = -9*p + 12*p - 69. What are the prime factors of p?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5.157 + -28263.3\nAnswer: -28268.457","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v - 3. Let q(s) = 2*s - 7. Let i(n) = 2*q(n) - 5*t(n). Let d be i(-10). Factor 94*c**2 + 16 + 35*c**3 + d + 2*c**3 + 92*c + 5*c**4 - 3.\nAnswer: (c + 2)**2*(c + 3)*(5*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -3*y**2. Let w(n) = 691*n**2. Calculate v(w(p)).\nAnswer: -1432443*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z + 16 = -2. Suppose 0 = 3*w - z*w - 5. What is the second derivative of 12*o**5 + 7*o - 8*o - 17*o + 6*o**w wrt o?\nAnswer: 360*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 20*i - 10. Let z be n(1). Suppose -z*w = -3*w. Suppose -5*c - 1009 + 3939 = w. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -68 - -3. Let c be 12\/18 + l\/3. Let b = 56 + c. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18172\/5841*(-3)\/(-4)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7 - (-1 - 0\/1). Let t be 4\/p - 14\/(-4). Differentiate -3*x**t - 2*x**4 - 1 + 3*x**4 wrt x.\nAnswer: -8*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = -14*k - 119. Let b be (-1)\/(-2) + ((-117)\/6)\/k. Solve -4 + b = l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 19 = 3*n - 5*s, 5*n - 17 = 4*s. Let y(k) = k**2 + k + 7. Let v be 2\/(-9) - 12\/(-54). Let r be y(v). What is the greatest common factor of n and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 4 (c) -4 (d) 14\/37 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 17*i**2 - 3*i - 27. What are the prime factors of t(-6)?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 minus -141793515773038?\nAnswer: 141793515773038.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 170316 from 0.01.\nAnswer: -170315.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of -b**3\/3 + b - 4. Determine i(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 1613139782?\nAnswer: 1613139777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 2*f - 76, -4*y + 22 = -4*f + 106. Let i be -1 + 1 + (y - -20). Suppose -g - i*g - 4 = 0. Put 0.2, g, -2\/7 in ascending order.\nAnswer: g, -2\/7, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 4*o + 7, -2*q + 5*o - 2*o + 19 = 0. Let b(g) = -q*g + 1 - 1 + 11*g. Let u(p) = -p. Give b(u(v)).\nAnswer: -6*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 179 = -245. Let w = -19 - s. Let q be -2*-1*5\/(-2). Put 4, w, q in descending order.\nAnswer: 4, w, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*p - 10 = 38. Suppose 0 = p*u - 3 + 1, 3*u + 57 = 3*s. Solve 2*j = s - 22 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 3*f - 17. Suppose -o + 3 = -2*h, 0 = h - 2. Let m be g(o). Suppose m*q + 4*v + 1 = -11, 0 = -4*q - v. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of o**3\/3 + 2*o**2 + 2*o + 2. Let k(p) = 0 - 190*p + 0 + 189*p. Let b = 0 - 4. Give b*k(h) - n(h).\nAnswer: -h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -38784 (base 10) to base 7.\nAnswer: -221034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q + 8. Calculate v(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 50809 divided by 31?\nAnswer: 1639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(17)*2 - sqrt(17))**2 + sqrt(17) - (-1 + 3 + sqrt(17) + sqrt(17)).\nAnswer: -sqrt(17) + 66","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.12 (b) 0.1 (c) 21 (d) -3\/7 (e) 13206\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 5.311662 to 2 dps.\nAnswer: 5.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -13, -1 in decreasing order.\nAnswer: -1, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 1 + 14, 0 = -2*l + 5*t - 7. Let g(x) = 2*x - l*x + 6*x. Let u(f) = 12*f**2. What is u(g(k))?\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3408162 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1758, -1779, -1808, -1839, -1866, -1883?\n\"Answer: d**3 - 10*d**2 + 2*d - 1751","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 11*u - 37 = 16*u, 0 = -4*q + 4*u + 40 for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 170700?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 14246437 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/5, -3\/2, -1247.332?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 10) to base 14\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 53*p - 12128 + 11883 = 0, -4*a + 3*p - 31 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000323285 rounded to 6 decimal places?\nAnswer: 0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 17672.64 micrometers?\nAnswer: 17672640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -56.35 and 0.1259946.\nAnswer: -56.2240054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 - 0. Suppose -2*x + 9 = -17. Suppose -h = -4*d + x. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-6)\/15)\/((-3)\/(-5)). Let u = 233 - 231. Let i be (456\/15)\/u*(-20)\/(-8). Which is bigger: i or k?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:58 PM and 6:31 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j + 1. Let l(u) = -u**2 + u - 1. Determine 2*l(t) + 4*w(t).\nAnswer: -2*t**2 - 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - -1*(-1 - -20). Let h be (-4960002)\/4 + 9\/n. What is h rounded to the nearest 100000?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -30*u - 1. Is p(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.3, -0.117, 2\/7, -8732?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 84 and 42?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, -17\/4, -0.1, -0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8 - 3 - 15*v + 15*v**2 + 206*v**3 - 211*v**3.\nAnswer: -5*(v - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 5*a + 5*f, 0*f = 2*f + 4. Let i(w) be the first derivative of w**3\/3 - 5*w**2 + 12*w - 6992. What is i(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*r = -33*r - 2*m - 70, 0 = 5*r - 2*m + 92 for r.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 77972, 311883, 701730, 1247513, 1949232, 2806887, 3820478?\n\"Answer: 77968*s**2 + 7*s - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 199 - 73. What is the highest common factor of w and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/9))**(-8\/7)\/((k\/(k\/(k\/(k\/((k*k**1)\/k))*k)))\/k)**5*k*k*k**(-5)*k*k**4\/k*(k*k*k**(-2\/3))**(-6) assuming k is positive.\nAnswer: k**(-772\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2*1*-13784 + -4. Is (-2)\/(-7) - u\/28 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that -4*a**2 + 250326488*a - 3916459412150884 = 0.\nAnswer: 31290811","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 84, 190, 304, 426?\nAnswer: 556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 3*y + 21 = 0, -3*r - y + 46 - 5 = 0. Suppose -5*z + 8 = -r. Suppose -z*m = -3*x + 215 + 564, -x = -4*m - 273. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.04 (b) 0 (c) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -i**3 - 8*i**4 + 1 + 22*i**4 - 2*i**2 - 3*i - 11*i**4 in the form g*i**2 + n*i**3 + k*i + p*i**4 + q and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (1 - (-3 + 3)) - 0\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/9, 2\/333, -3457?\nAnswer: -3457","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 5970*i - 477601. Determine w(80).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*t + 5*t + 3*t + 20*t**2)*(3 + 0 + 0)*(-13 + 7 - 30) to the form z*t**2 + l + f*t and give f.\nAnswer: -324","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 69 - -37?\nAnswer: a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -51 or -391?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjj when three letters picked without replacement from sjhjjjhjhjjshjjsjjs?\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 54 + 258 = -2*a. What is the tens digit of (a + 0)*8\/(-24)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -2*o**2 + 0*o**2 + 3*o**2. Let g(z) = z**2. Let y(d) = 3*g(d) - 4*j(d). Let i(w) be the third derivative of -w**4\/8 - 3*w**2. Give i(y(m)).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 2172?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 690 is divided by 99.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 42677 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**1\/y)*y*y\/(y**(2\/25)*y)*y*y)\/(y\/((y\/(((y*y**(-2\/21))\/y)\/y)*y)\/y)*(y\/(y**(-2\/17)*y))\/y) assuming y is positive.\nAnswer: y**(52636\/8925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*g + 7 = -9*g - 2*p, 0 = -3*g - 4*p - 5 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 113 (base 12) in base 9?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10023 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11226 is divided by 47.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -942 - 3029 = 736*y - 30922 - 9849 for y.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 3*p = 2*v + 27, 0 = -3*v + 5*p + 43. Which is greater: 45\/4 or v?\nAnswer: 45\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*q**2 - 46*q**2 + 22*q**2 + 12*q - q.\nAnswer: -2*q**2 + 11*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-23 - -8) + 27 - (5 + (-3 - -4))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 33 = -2*f, -3*g - 2933*f = -2911*f + 73 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1577585 divided by 3\nAnswer: 1577585\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find f such that 2*f**3\/5 + 4872*f**2\/5 + 2976768*f\/5 + 11829248\/5 = 0.\nAnswer: -1216, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 2 e when four letters picked without replacement from yyyyeyyeeyy.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q - 13*c + 1153 = -2*q + 1312, -6*c = -4*q + 50 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1925 + 1923. Which is the nearest to 0.1? (a) 0.4 (b) o (c) -2\/7 (d) -40\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 1 = t, 0 = -t - 3*z + 2*z + 1. Calculate the common denominator of 12558\/1127*(1\/(-8))\/t and -83\/42.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-20)\/100 - (2 - (-138)\/(-15)). Let h(k) = k**3 - 7*k**2 - 2*k + 10. Give h(u).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + -3. Suppose 0 = b*m - m - 15. Let a be (21\/(-14))\/((-45)\/6 + 3). Put a, 1, m in descending order.\nAnswer: m, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-20)\/50 + 421356\/15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1002 - -102010?\nAnswer: 101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1573, -3105, -4605, -6067, -7485, -8853, -10165, -11415?\n\"Answer: g**3 + 10*g**2 - 1569*g - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 507*a. Let h(q) be the second derivative of -5*q**3\/6 + 296*q. What is d(h(v))?\nAnswer: -2535*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 4 = -4*x + 5*x, 4*x = 3*r + 7. Let s = 6 - x. Suppose s*p - 2 - 58 = 0. Solve 0*c + 4*c - p = 5*h, -4*h = -c + 3 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1769932531 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -5*599\nAnswer: -2995","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 193, 3492, 12987, 31774, 62949, 109608, 174847?\nAnswer: 261762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three fifths of a century?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 399, 762, 1063, 1278, 1383, 1354?\nAnswer: 1167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -5*b - 10. Let v be p(-7). Calculate the highest common factor of 225 and v.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.14 + -0.096.\nAnswer: -0.236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -6, 4*n + 2*v - 4 - 8 = 0. Let m be (n\/10)\/((-9)\/10 + 1). Solve -m*j + 0*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c**2 - 2*c + 1. Let j(u) = -18*u**2 + 8*u + 1. What is -j(w) - 4*n(w)?\nAnswer: 22*w**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-1 + (4 + (sqrt(3) - sqrt(15)\/sqrt(5)) - sqrt(3)))*-5 + (sqrt(99)\/sqrt(3)*6)\/((sqrt(77)*2)\/sqrt(7)).\nAnswer: -19 + 8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -y + 446, 49 = -2*z - 3*y - 241. Let c = 266 + z. Calculate the remainder when c is divided by 41.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -561 rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 16 = -4*s - 2*r, -2*s - 12 = -2*r for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i = 35 - 15 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*q + 0*q + 0*q)*(-48 + q - 47 + 112) as y*q**2 + f*q + v and give f.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yytsnsyyys. Give prob of sequence yt.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -3*u - 8. Let s = 5 - 2. Suppose -u + 2 = -s*t. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -6*t - 10. Let u be b(-3). Let w be -9*u\/4 + -2. Let r = 8 - w. Is 14 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-126)\/(-5))\/(-6) + 4.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -170*k + 143*k + 1350. Solve -2*p = -4, 2*p = -k*c + 51*c + 5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**4\/2 + 10762719*g**3\/2 - 12870687205467*g**2\/2 + 5130517624043623461*g\/2 - 5130491882712263379.\nAnswer: -3*(g - 1195857)**3*(g - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.04 (b) 5 (c) -2 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -42 + 54. Suppose -w*s + 95 = -7*s. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 46436 and 12299612?\nAnswer: 578081764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/76 and 121\/21812.\nAnswer: 21812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-6) - (-14)\/(-12) - -1)\/(11706\/9755)\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-210)\/42)\/((-1)\/4*34\/119).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = 7*h - 0*h. Let a = h - 1. Suppose -8*y + a*y = -252. Is 18 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 3*n = k + 41, 3*k + 2*n - 55 = 0. Suppose -k*t + 21*t = 826. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 6:19 PM?\nAnswer: 12:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 3*x + 324 = 0, -3*p + 330 = 2*x - 7*x. Is p a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -5*v - 1161, -5*u + 241 = -v - 2*u. Let c = v + 230. Calculate the greatest common factor of c and 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:01 AM and 9:01 AM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1486828, 1486751, 1486674, 1486597?\n\"Answer: -77*c + 1486905","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -9*w**2. Let o(g) = -25*g**2 + 9*g**2 + 12*g**2. Calculate a(o(z)).\nAnswer: -144*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.7638 to two dps.\nAnswer: -2.76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -196*b**5 - 366016*b**4 - 67506252*b**3 - 28684864*b**2 + 32957648*b - 5497920 = 0.\nAnswer: -1660, -207, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**2 - 4. Suppose 0 = -6*p + 4*p - 3*y + 7, -2*p + 9 = 5*y. Let b(d) = -d**2 + 4. What is p*c(w) + 3*b(w)?\nAnswer: -w**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -2*a + 44. Give o(19).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 479028*c - 179708 wrt c.\nAnswer: 479028","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 less than -11883?\nAnswer: -11882.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -51817 rounded to the nearest one hundred?\nAnswer: -51800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 11677969 rounded to the nearest 1000000?\nAnswer: 12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -48505\/12 + 4047. Suppose 0*m + 4*m + 4 = 0. Find the common denominator of k and m\/2 - (-312)\/(-18).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**2 + 0*m**2 - m**2)*(m**3 - m**3 + 3*m**3).\nAnswer: -3*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -78 + 78.163. Let v = z + -0.256. What is v rounded to two decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-102)\/216 + 2\/8)*-9. Suppose 0 = a - 2 + 3, a + 7 = 2*c. Suppose c*h - 3 = 2*h. Solve 0 - h = d, 5*v - 14 = -w*d for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -6, 10705, -61?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.1, 941, 0.05?\nAnswer: 941","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 - -21) + -2 + 3 + -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 + 81248*p - 568689. What is n(7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 o when two letters picked without replacement from lggxmggmomgmgom?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1247 divided by 71?\nAnswer: 1247\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.454 to zero dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b**2 + 4*b + 2. Let g be u(-5). Let i be 12\/g*(-4)\/(-6). Let r = 0.107 - -0.093. What is the second smallest value in i, -1\/3, r?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 - -10. Let p be (-1)\/(-2) - (-3)\/(-12). What is the closest to 0 in z, p, 0.3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.57 + 5.77. Which is the second biggest value? (a) -37 (b) 6 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o**3 + 10*o**2 - 17*o + 11. Let d be g(8). Suppose -8*s = -d*s - 240. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of 24*d**3 + 17*d + 1. Let p(b) = -7*b. Calculate p(s(k)).\nAnswer: -1008*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*w = -39*w + 4938. Let t = 1759 - w. What is the hundreds digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.05 + -0.95. Which is the third smallest value? (a) -3 (b) x (c) 0.4 (d) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 2020.972 meters?\nAnswer: 2020972","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-180)\/3 + (0 - (-4 - -7)). Let z = -35 - l. Suppose x - z = 32. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2*o + 2. Let t be h(1). What is the nearest to 2\/5 in t, -4\/5, -1?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.51155 and -44679094?\nAnswer: 44679094.51155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 59. Let y = 8986239.99961 + -8986297. Let f = y + d. What is f rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -20, 0*n + 1421 = 2*n - 5*d. List the prime factors of n.\nAnswer: 2, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.4254 - -0.0254. Which is the third smallest value? (a) 75 (b) z (c) -2\/3 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*f**2 - 3*f + 17*f**2 + 16*f**2 + 3*f.\nAnswer: 11*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 323, 652, 983, 1316, 1651?\nAnswer: 1988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2790251 to the power of 1\/2, to the nearest integer?\nAnswer: 1670","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -56 + 147. What is the highest common divisor of 13 and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1014 - 1052?\nAnswer: -2110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2263*b**2 + 486*b wrt b.\nAnswer: -4526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 + d**2 - 3*d - 2. Suppose 5*n + 5 = -5*i, -10 = -n + 4*n - 4*i. Let m be k(n). Determine u, given that 13*u**3 - 25*u**3 + m*u**3 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 275.9 to the nearest one hundred.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 + 8*l**2 + 3*l - 6. Let j be m(-7). Is (j\/(-4))\/((-7)\/98) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6 + m**5 - 6 - 2*m**4 + (-m**5 - 3*m**5 + 6*m**5)*(3 - 1 - 1) + 4*m**5 - 4*m**5 - 4*m**5 + 3 - m**5 - 3.\nAnswer: -2*m**5 - 2*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-17)\/2652*-13)\/((-6)\/(-16))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 - h + 3. Let r be l(-3). Let q = 7 + r. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.1 in -3, -0.4, 233, -4, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -126522474 and 2.4.\nAnswer: -126522471.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uo when two letters picked without replacement from oaqjqouuuobo?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of 0*l - 4*l**2 - 124 + l**4 + 4\/3*l**3. Factor t(g).\nAnswer: 4*g*(g - 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 521, 95, -321, -727, -1123, -1509, -1885?\nAnswer: -2251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1614597.02 * 2\nAnswer: 3229194.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-7)*(-227164)\/10248?\nAnswer: 19\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + (1 - 0) - (19001 - 18963) - -126.\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*l + 5*l + 165. Suppose -l = -6*m + 3*m. Suppose -2*f = -2*t + 10, 3*f + 13 = -t + 2*t. Sort -15, m, t in decreasing order.\nAnswer: m, t, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 - 4*q + 2. Let m be h(-4). Let i be 8\/5 + m\/5. Suppose -170 + 181 = 4*f - 3*d, 5*f + 2*d = 31. Calculate the highest common factor of f and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 384?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/90*4*45\/(-10)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 46348\/15 + -3087. Let p = a - 11\/5. Factor 2\/3 + 2*z**2 + 2*z + p*z**3.\nAnswer: 2*(z + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1244?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 49 + 29597?\nAnswer: 29613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 6*o + 2*v + 12, -v = 5*o - 5. Suppose 5*z - 374 = -o*f, 3*f = -z - 2*f + 84. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 47 and 118581?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 11. Let m = t - 1. Put 0.1, m, 2\/3 in decreasing order.\nAnswer: 2\/3, 0.1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.52 - 2.08. Let q = -0.46 - i. Let j = 2 + -6. Which is the closest to -1? (a) j (b) 5 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-394)\/9 + (-4)\/18. Suppose 0 = 338*c - 482*c + 28512. What is the least common multiple of 15 and (d\/66)\/((-1)\/(c\/4))?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -k**2 - 2*k + 6. Let s be g(0). Suppose -7*m = -s*m - 6. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 64630085?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of 0 + 0*y**4 + 0*y + 0*y**3 + 1\/300*y**5 + 29*y**2 - 1\/600*y**6. Factor g(m).\nAnswer: -m**2*(m - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 343 divide 14426934?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -11 (b) 3 (c) -3\/5 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkb when three letters picked without replacement from bbbkbkb?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -5303 greater than -5302?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q + q = -6. Let x(p) = 5*p + 5. Let w(y) = -7*y + 9*y + 1 - y. Calculate q*w(h) + x(h).\nAnswer: -h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 19, 83, 189, 337, 527, 759?\nAnswer: 1033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 137556?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 d when three letters picked without replacement from dorbbdooczdo?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, k: 2, n: 2}. Give prob of picking 1 n and 1 w.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5720.9893 + 62.4307. Let u = 5737 - i. Let c = -1.92 - u. What is c rounded to zero decimal places?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002536 to four decimal places.\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 18*w**5 + 6*w**3 - 70*w**2 + 5. Let x(p) = -18*p**5 - 7*p**3 + 69*p**2 - 6. Let n(v) = 6*a(v) + 5*x(v). Find the third derivative of n(m) wrt m.\nAnswer: 1080*m**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (391\/(-4301))\/(1\/(-14)).\nAnswer: 14\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence idii when four letters picked without replacement from {d: 7, i: 6}?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 27 + 16 = 0. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1881\/4 + -833291\/1772. Is 1 >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -173, -4, 4, 0 in increasing order.\nAnswer: -173, -4, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 1305?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 29*u - 200. Calculate the remainder when 128 is divided by b(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -513 + 293. Let p be (99\/r)\/(3\/(-4)). What is the third biggest value in 4\/15, -0.3, p?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15405 divided by -5?\nAnswer: -3081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + -1 - (-1 + 3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-5 + -4*(1*sqrt(539) + 3 + -1 + sqrt(539)*-1)**2)*-4.\nAnswer: -168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4523128 is divided by 646161.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d**3 + 2*d**4 + 0*d**3 + (5*d - 3*d - 4*d)*(4 - 4 - d**3) + 17*d**4 - 19*d**4 - 44*d**4.\nAnswer: -42*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4 - 2*q**2 - 2 - 6*q + 6*q**5 + 6 wrt q?\nAnswer: 360*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g*g**(3\/2))\/g**(-9\/2))\/(g**1)**(1\/2))**(-1\/43))**(-1\/9) assuming g is positive.\nAnswer: g**(13\/774)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9.848 + 10.6. Let m = 0.028 + v. Let o = -0.77999938 + m. Round o to seven dps.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 + 5*b**2 - 4*b + 6. Let u = 40 + -37. Let d be ((-8)\/4)\/(u\/(-6)). Give w(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/60 and -113\/90.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -133 + 244. Suppose -3*w - 4*c + 272 = w, -2*w + 3*c = -b. What is the units digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3136.801 times -1.05\nAnswer: 3293.64105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13073*x - 4*b - 36 = 13071*x, 78 = 5*x - 4*b for x.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 513248?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/(-12))\/(646539\/(-28264)).\nAnswer: -2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -46.2.\nAnswer: -184.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 n, and 1 y when three letters picked without replacement from yvvnyl?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 135 and 6465?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/56064 and 11\/59568?\nAnswer: 953088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 1534*a + 1168916. Determine g(-762).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) 127 (b) 0.5 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 28984738583 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3755712, 3755711, 3755708, 3755703?\nAnswer: 3755696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + 1 = -t + 15, -s - 6*s - 209 = -2*s + 41*t for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3691.\nAnswer: 3691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -7, -21, 344 in increasing order.\nAnswer: -21, -7, -3, 344","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 140833094?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15.524 - -0.176. Let i = 15.76 - q. Which is the third biggest value? (a) -2 (b) 0 (c) 1\/2 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 561887560 rounded to the nearest one million?\nAnswer: 562000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 11*l - 661. Let x be n(57). Let u(k) = k. Let i(t) = 5*t. Calculate x*u(c) + 6*i(c).\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107393595 is divided by 539?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**4\/3 + 359*w**3\/3 - 358*w**2\/3.\nAnswer: -w**2*(w - 358)*(w - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 - 2*g - 3. Let z be f(3). Solve -r + 1 + z = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57*b - 59*b - 34*b.\nAnswer: -36*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together -16082 and -95.9026933.\nAnswer: -16177.9026933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -41 - -33. Calculate the remainder when 31 is divided by 2\/z - (-148)\/16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 10*x - 13. Let i be y(3). What is the highest common divisor of 85 and i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -352 - -354. Solve -10*p + 22 = w for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 4:41 AM?\nAnswer: 2:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 11, u: 9}. What is prob of picking 1 u and 2 q?\nAnswer: 33\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vv when two letters picked without replacement from {x: 2, c: 2, v: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*y + 52*y + 182*y in the form r*y + a and give r.\nAnswer: 239","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k**5 + 0*k**5 - k**5 + (1091*k**2 - 2399*k**2 + 732*k**2)*(3*k - 2*k**3 - 4*k - 4*k**3).\nAnswer: 3452*k**5 + 576*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/(-18) - (-470)\/(-45) and 23\/7.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-18 - -19)*(1 + -2 + 2). Let c(w) = -17*w + 18. Let v be c(n). What is the highest common divisor of v and 32?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 94 - -11. Does 5 divide 0*(4 + 1)\/10 + p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 981763643?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21835729 is divided by 704378.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198*l + 1994 - 521 = -2085 - 2976 for l.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 25\/4 - 2\/8. Let l = v + 6. Calculate the greatest common factor of l and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 185099 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 4 (b) -1\/6 (c) 691\/193 (d) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -218*p - 132*p + 77*p + (-3 - 6 + 4)*(0 + 0 - 2*p).\nAnswer: -263*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(120)\/sqrt(4)*4 - (-1*sqrt(180))\/sqrt(6))\/(-2*sqrt(12)\/sqrt(2)*-3).\nAnswer: 5*sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**16)\/(g*g\/g**(3\/5)))\/((g\/(g*g\/((g\/(g\/(((g\/(((g*g\/g**(-1\/39)*g)\/g*g)\/g)*g)\/g)\/g))*g)\/g)))\/g**(-1)) assuming g is positive.\nAnswer: g**(-2803\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -146196 greater than -146197?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -5*g + 52. What is the remainder when 33 is divided by g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(2\/5))**(31\/5))**41 assuming p is positive.\nAnswer: p**(2542\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 4629 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 + v**2 - v + 6. Give q(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x + 1. Let p(n) = n**2 - 3*n - 3. Let s be ((-15)\/(-20))\/((-1)\/(-4)). What is s*y(m) + p(m)?\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eka when three letters picked without replacement from {e: 7, k: 5, w: 1, a: 1}?\nAnswer: 5\/312","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, 263 in increasing order.\nAnswer: 0, 4, 263","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -114 by 191663.\nAnswer: -114\/191663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 83? (a) -57 (b) -30 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -2\/7 (c) 1\/4 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -21138*z + 2407?\nAnswer: -21138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -6*((-32)\/39 - (-18 - (-1856)\/104)). Solve -5*d - c*x + 25 = -8, 3*d - 21 = -3*x for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 10) to base 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 2*h**2 + 2. Let t be x(2). Suppose c - t = 16. Is c a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 - 28. Suppose -u + 0 = -3. Calculate the lowest common multiple of ((-3)\/x + 0)\/(6\/60) and u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1518787457 - -0.003563.\nAnswer: 1518787457.003563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -2*d**4\/9 + 592*d**3\/9 - 10700*d**2\/3 + 112832*d\/9 + 14270582\/9 = 0?\nAnswer: -17, 43, 227","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, -19, 1, 7.\nAnswer: -19, -1, 1, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 28\/8 - 2\/4. Let s = -1014 - -1020. Which is the fourth smallest value? (a) -0.3 (b) s (c) -0.1 (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = v**3 - 4*v**2 + 3*v + 2. Let a be j(3). Suppose 4820 = a*d + 2*d. Let b = 2094 - d. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(1 + sqrt(1008)) - (sqrt(1008)*1 + -5)) + (sqrt(1008)*1 + 2 + (sqrt(1008) + 0 + sqrt(1008))*4)*4)**2.\nAnswer: 12096*sqrt(7) + 1306564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 217018762?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*y - 2*y**2 + 8 + 3*y**2 - 8 to p*y + b + k*y**2 and give p.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-2 - 17) + (645 - 657)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 64, 51, 1\/164?\nAnswer: 1\/164","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - -368333?\nAnswer: 368327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, -2, 3 in descending order.\nAnswer: 3, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 0*o - 1 - 1 = 0, -2*l + 131*o = 128*o - 36 for l.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 272495340 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a century in years?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 8, o: 4, p: 2, z: 5}. What is prob of picking 1 z, 1 v, and 1 o?\nAnswer: 160\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z + 5*q - 19 = 0, -z + 23*q - 28*q = 4*q - 59 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the second derivative of f**4\/3 + f. Let o(q) = -5*q**2 - 7*q - 7. Let k(a) = -2*a**2 - 3*a - 3. Let v(j) = -7*k(j) + 3*o(j). Calculate v(s(x)).\nAnswer: -16*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put together 70812 and -17.\nAnswer: 70795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let -12*g**4 - 128*g**3 + 3356*g**2 - 1104*g = 0. What is g?\nAnswer: -23, 0, 1\/3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -14526 divided by 27?\nAnswer: -538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 3590124.\nAnswer: 1\/1795062","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, 4, -1\/8, -4, 2\/31 in decreasing order.\nAnswer: 11, 4, 2\/31, -1\/8, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 - 90*w**2 + 676*w - 98. What is b(-97)?\nAnswer: 193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 2 + 2*g**3 + 1 as q + b*g**2 + o*g + w*g**3 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152)*-1*-6 + (3*(sqrt(152) + 2*sqrt(152) + sqrt(152) + sqrt(152)) + sqrt(152) - sqrt(152)) + sqrt(152))\/(sqrt(40)\/(sqrt(80)*2 + sqrt(80))).\nAnswer: 264*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93*i - 26*i - 26*i - 44*i.\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83873 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -5917.961 to the nearest 100.\nAnswer: -5900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 22187 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 27\/5 of a centimeter?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13\/10 in 1, 1\/3, 488, 4, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -3 + 2 - (-60 + 68) - -8.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -4*f + j - 21, 2*f - j + 3 = 0. Suppose -k + 195 = -4*k. Let p be 10\/k + (-204)\/(-650). Is f <= p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.5 in 92\/9, -5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(-24))\/z**3*(z**(6\/11)*z)**(-2))**12 assuming z is positive.\nAnswer: z**(2496\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (165\/27 - 4) + -2 + 0.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 0 + 9 = 0. Let t(r) = r**2 - 6*r + 18. Let f be t(9). Let i = f + -31. Solve 5*u + 14 = -j, -4*u + i = -4*j - c*u for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/70 and 17\/230.\nAnswer: 1610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 3 - 2 + (-2 - 1 + 1)*(31 - 1 + 29) + 3 - 2 - 4)*(3*n**4 - 2*n**4 + 5*n**4) to the form b*n**2 + x*n**4 + v + i*n**3 + h*n and give x.\nAnswer: -714","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-540)\/(-42)*(20160\/128)\/(-45).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159 is divided by 3144\/63 - 26\/(-273)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 14.4 - 14.9. Suppose -4*h - 17 = -z, -2*z + 11 = z - 2*h. Which is the nearest to z? (a) 10 (b) y (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -1. Suppose -d + z = -9. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 45371 and 116119?\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, 0.02, 2\/3, 200 in increasing order.\nAnswer: -10, 0.02, 2\/3, 200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d + 14. Suppose -14*n - 2 = -12*n. Let k = 9 - n. What is the tens digit of j(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 36 = 2. Suppose 3*t - y - 8 = 0. What is the smallest common multiple of 11 and t?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16492 and 2821.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00566707829 to five decimal places.\nAnswer: 0.00567","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101100 - 11100000?\nAnswer: -10110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -r**2 + 3601426*r - 3242567308369 = 0?\nAnswer: 1800713","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2*z = -0*z - 26, -d - 22 = 4*z. Let f(x) = x**2 + 7*x - 6. Is f(d) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 3 + -4 - (-1 - -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 254, 756, 1238, 1694, 2118, 2504?\n\"Answer: -s**3 - 4*s**2 + 521*s - 262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-5) - 16\/(-10). Let i be 2 + (-344)\/590 + -1. Let a = i + -1\/59. Is v <= a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 - 8. Let q be -3*(-8*5 - -3). Suppose 0 = 4*f - q - 369. Calculate the highest common divisor of f and l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1624)\/343)\/4*(-504)\/72?\nAnswer: 58\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -8*r + 186. Let n be z(23). Solve 0 + 2 = n*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10274 by 467.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/((-63)\/(-45))*(-4)\/10.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2257310169 >= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -35302253*f*o**4 - f*o**2 - 265*f*o + 194*f + 5*o**2 wrt o?\nAnswer: -847254072*f*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -37*n**2 - 305*n - 14. Let o(l) = -18*l**2 - 166*l - 8. Give 7*o(y) - 4*w(y).\nAnswer: 22*y**2 + 58*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-104)\/234*(-324)\/(-24))\/(16\/12)?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5, g: 9, u: 3, z: 2}. Give prob of picking 1 q and 2 g.\nAnswer: 60\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -58319, -1, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 141 = -15*n + 6*n - 84 for n.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t - 2*t + 0*t)*(11*t + 32*t - 20*t) - 3*t**2 - 2*t**2 + 3*t**2.\nAnswer: 44*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26, 67, 106, 143, 178, 211?\nAnswer: 242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -w**2 - 18. Let l(j) = 7*j**2 - 42. Calculate y(l(r)).\nAnswer: -49*r**4 + 588*r**2 - 1782","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 + -2.2. Let c = -0.2 - -1.4. Let x = i + c. What is the nearest to -2\/5 in 2\/13, -0.5, x?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 5 = -3*o. Let c be (o\/(-2))\/((-9)\/(-72)). Suppose 11*j - c*j = 259. Does 19 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q + 1418 = 1368. Solve 5*a + 5*r = -35, 17*a - q*r - 32 = 21*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 8 = z. Let q = -18 + z. What is the tens digit of (-15)\/q - (-19)\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_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: -14*(-48)\/3780*6\/8\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 AM and 6:27 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 14 = -0*t. Let r = 1 + t. Let g(s) = -s**2 - 6*s - 2. Calculate g(r).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 241 - 260. Let c = w - -24. Solve 3*u - 2*h - 1 = 13, 5 = -c*h for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1021*s**3 + 152?\nAnswer: -3063*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the first derivative of 3*p - 9 + 3\/4*p**2 - 1\/2*p**3. Factor w(m).\nAnswer: -3*(m - 2)*(m + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/3 - (-122)\/6. Suppose -2*y + 4*y = t. Calculate the greatest common divisor of y and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1640 a factor of 46485800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*z - 10, 4*n + 0*n - 10 = -2*z for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/(-69))\/(30150\/(-4715460))?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, 3, 0.4, -5, -30 in descending order.\nAnswer: 3, 0.4, 1\/7, -5, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 2:42 AM?\nAnswer: 1:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -824, -3303, -7434, -13217?\nAnswer: -20652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-1*3)\/(14\/(560\/(-30)))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1847 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 313186 times 0.077\nAnswer: 24115.322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.14 + 58.54. Let f = g - 11.4. Let j = f - 46.000115. Round j to five dps.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.4 in -0.2, 96, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 4 - 9*u + 29*u to r*u + b and give r.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*t - r + 16480 = 22*t, 2*t = -r + 6592. Calculate the highest common divisor of t and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.4, 0.21, -0.04, 0.4 in descending order.\nAnswer: 4, 0.4, 0.21, -0.04, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1286, 2574, 3862, 5150?\n\"Answer: 1288*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/3*8\/28)\/(164\/14)?\nAnswer: -1\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 41312.33 + -41823. Let d = f - -513. Round d to 1 dp.\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -161 + 15*p - 156 - 62 + 535 - 156.\nAnswer: 15*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-1))\/2*(-180)\/(-120).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 2:23 PM?\nAnswer: 2:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 295*x - 1181. Give o(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 458386.23 rounded to the nearest 10000?\nAnswer: 460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 104, 191, 272, 341, 392, 419?\n\"Answer: -g**3 + 3*g**2 + 85*g + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - 752.\nAnswer: -752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 2*m = 1, -3*p + 1 = 5*m - 5. What is the smallest common multiple of p and 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 862378211.\nAnswer: 53, 16271287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 142 = 148 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 - 10*z**2 + 14*z - 9. Let q be w(9). Differentiate -81 + q - 14*n**3 + 71 - n**3 with respect to n.\nAnswer: -45*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -2*y**3 - y**2 + y + 18. What is the remainder when x(-4) is divided by 33?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 36 - 32. Suppose 0*t + 138 = 5*t + 2*f, 4*t = -k*f + 120. Calculate the remainder when t is divided by 4\/((-20)\/15) + 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 2*w = 4*y + 7, -22 - 54 = -5*y + 4*w - 41 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -432248, -431965, -431494, -430835, -429988?\n\"Answer: 94*j**2 + j - 432343","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -381014*v**2 + 14*v. Let j be y(1). What is j rounded to the nearest ten thousand?\nAnswer: -380000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -3*p**2 + 11*p + 2. Let z(a) = -5*a**2 + 21*a + 5. Let m(c) = -7*y(c) + 4*z(c). Determine m(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of -28*k**3\/3 + 8*k**2 + 15*k. Let n be i(-4). Suppose 15*g - 12*g = n. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 6*f = 10. Suppose -i = -2*g - 5, i + i + f*g = 4. Solve u - i*x = 3, 0*u - 3*x = -4*u + 3 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: ac920 (base 13) to base 12\nAnswer: 131529","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 41 - 48. Let o(z) = z + 10. Let s be o(l). Let g(d) = 10 + 2*d**s - 3*d**3 + 5*d + 6*d**2 + 3*d**3 - 3*d**3. Give g(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/(g**(1\/4)*g)*g**2\/g)\/(g*g**(-1))**(-29\/2) assuming g is positive.\nAnswer: g**(7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) -0.4 (b) 0.2 (c) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21875 and 13608.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dw when two letters picked without replacement from wxwxxxxdxxxwxxwwxwx?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 AM and 12:28 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 89517, 358071, 805661, 1432287?\n\"Answer: 89518*i**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + -1. Let w be n*(-1 + (-111)\/15). Suppose 2*f - w = -f. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7560 is divided by 2515?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**2 - j - 2. Let k be t(-2). Suppose 0 = -3*i + 3, 0*i = -2*l + k*i. Solve 4*b = l*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(38)\/sqrt(2) - sqrt(95)\/sqrt(80))**2.\nAnswer: 8379\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 404*q - 173*q - 1047 - 4959 = 0 for q.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6449*g**2*v**3 + 31*g**2*z + 1726*g*v**3*z + v**3 wrt z?\nAnswer: 31*g**2 + 1726*g*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25116?\nAnswer: 2, 3, 7, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.356 rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 + 16. Let l = y + -7. Suppose 4*f - 5*q - 6 = 0, -2*f - 3*q + 9 = -l. Solve -2 = -f*z - 6 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 657389?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 854 is divided by 85?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 3678, 14729, 33156, 58965, 92162, 132753, 180744, 236141?\n\"Answer: o**3 + 3682*o**2 - 2*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**10\/h)\/(h\/(h*h**(-2\/9)))*(h*h\/(h\/(h\/(h*h**(3\/5)))))\/h**(1\/5) assuming h is positive.\nAnswer: h**(404\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10852 is divided by 278?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -150288 or -150290?\nAnswer: -150290","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1101011001010000001011 (base 2) to base 15.\nAnswer: -4955c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5605 - 3965 - 5588 - 149)*(-5*q**3 + 3*q**3 + 0*q**3) as l + r*q**2 + z*q + o*q**3 and give o.\nAnswer: 30614","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 51*a - 5. What is the tens digit of r(6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 AM and 5:38 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 12*r**2 - 65*r - 543. Let w be d(-16). Calculate the greatest common factor of w and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**4 - 915*m**3 - 40315*m**2 + 155775*m + 1210860.\nAnswer: -5*(m - 7)*(m + 4)*(m + 93)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**4\/8 + 9*d**3\/4 - 9*d**2 + 39*d\/4 - 27\/8.\nAnswer: 3*(d - 1)**3*(d + 9)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17202 and 343335.\nAnswer: 41886870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 220482 and 34566678?\nAnswer: 311100102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 19*b. Let d(f) = f + 4. Let t(k) = k + 5. Let h(c) = -5*d(c) + 4*t(c). Calculate h(y(s)).\nAnswer: -19*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 123960919 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2597663, -2597661, -2597659, -2597657?\n\"Answer: 2*g - 2597665","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of 3*k**2\/2 + 14. Let r(j) = 5 - 5 + j**2. Give r(q(z)).\nAnswer: 9*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/2)\/((-6)\/144). Let o be (-5)\/20 + 165\/i. What is the units digit of 4\/o + 256\/14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g**2 - 3*g - 4. Let y be m(3). Suppose -y*u = -9*u + 64. Factor u + 12*a**2 - 7*a**3 + 8*a**3 + 24*a + a**3.\nAnswer: 2*(a + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-55)\/(-11))\/((-15)\/9)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -v**3 - 5*v**2 - 9*v - 4. Give x(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = 5*d - 10, 0 = d + 3*w - 25 + 6 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 66\/317261?\nAnswer: 66\/317261","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.13? (a) 0.5 (b) -6 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5686274?\nAnswer: 2, 11, 23497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26 + -16. Let l(d) = -18*d**2 + 12*d + 3. Let g be l(n). Let j = g + 3197. Round j to the nearest 100.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**4\/7 - 12*o**3\/7 + 4*o**2\/7 + 12*o\/7.\nAnswer: -4*o*(o - 1)*(o + 1)*(o + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 106 - (156 + 17) - -86.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4.8 - -4. Let b = -0.1592319 - -0.9592295. Let d = g + b. Round d to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-40))\/(((-24)\/(-5))\/4)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1572, 12313, 41310, 97641, 190384?\nAnswer: 328617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -14 - -18. Suppose -g*m = k + 300, m - 6*m + 2*k - 375 = 0. Let y = m + 75. Solve -19 = -i - 4*j, y*i - 17 = -3*i - 2*j for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -3, 1, 5 in increasing order.\nAnswer: -3, 1, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -10. Let l = 7 - j. Suppose -4*z + 3*d - 9 = -2, 4*d - 24 = -l*z. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4493 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3231 and 5.\nAnswer: -3226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1817 = -25*d + 1967 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3192*b + 859*b = -332182 for b.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s**2. Let l(t) = -10*t - 11. Let q be (18\/21 + 0)*-7. Let r(o) = -o - 1. Let p(b) = q*l(b) + 66*r(b). What is p(d(k))?\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 14 and 620.\nAnswer: 4340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.93 + 577516033.\nAnswer: 577516033.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3444 by -6.\nAnswer: 574","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 12*f = -4*r - 8*f - 12, 224*r + 3*f = -f - 888 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 6*n**2 - 2*n - 20520. Let k(g) = -16*g. Calculate k(d(b)).\nAnswer: -96*b**2 + 32*b + 328320","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 816 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2994 and 20190.\nAnswer: 10074810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.17 + -0.37. Which is bigger: i or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 721 to the power of 1\/4, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-18)\/(i\/(i\/(i\/(i\/(i*i**(17\/3)\/i))))) assuming i is positive.\nAnswer: i**(-71\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30839 = -48*y - 26519. Solve -29*x - y = -47*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-3) - (-4970)\/(-2130)) + -14*9\/78.\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 846149233?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 - -4. Suppose 2*h = -f + 1. List the prime factors of 45 - h\/((-2)\/1).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-30)*(-6*18\/108)\/((-8)\/(-4))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 77\/17 (b) -0.0433 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of f**7\/42 - 5*f**6\/6 + 53*f**5\/12 - 85*f**4\/12 - 81*f**2. Factor a(v).\nAnswer: 5*v*(v - 17)*(v - 2)*(v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 740 + 3*d**2 - 2*d**2 + 2296 to the form i*d**2 + y*d + o and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24192 is divided by 370.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 21 - 69*t - 10 - 2 - 3.\nAnswer: -69*t - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*g = -27*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4949431 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -8*j - 7. Let n be m(-4). Suppose 0 = f - 6*f + n. Let d be 5\/(-2)*1*-2. Solve 0*x - d*x = f*y + 30, -2*y - 9 = -x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30 - -1) + (-4795)\/(-165).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1212 = -31*p + 35*p + 4*d, -5*d - 571 = -2*p. Let q = 275 - p. Sort q, -4, 0 in ascending order.\nAnswer: q, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33600 divided by 2240.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -3 + -1 + 2*sqrt(17).\nAnswer: -5 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 + 8*j**2 + 3. Let u be o(8). Suppose -u*w - 4*l - 3 = -11, 5*l - 10 = 2*w. Solve 0*n + 3*n - 3 = w for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1014 - 1126 = -5*g. Let l = 180 + g. What are the prime factors of l?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -24077 divided by -1569.\nAnswer: 24077\/1569","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1104\/14)\/((-6)\/(-84)). Let x = z - 779. List the prime factors of x.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c - 45. Determine k(19).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of 0*p**2 + 11\/6*p**3 + 0 + 4*p. What is v(-1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2505, -2418, -2257, -2010, -1665?\n\"Answer: 2*p**3 + 25*p**2 - 2*p - 2530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w - 8. Suppose 22*m + 222 + 674 = 134*m. What is s(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 5798869?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 100\/(-7) - 2\/(-7). Let u = 14 + n. Suppose u = -2*m + 3 + 61. Calculate the remainder when m is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 28 + -15. Let y = 100 - -84. Let z = 261 - y. Calculate the remainder when z is divided by f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 66*j = 68*j - 16 + 28, 4*z - 97 = 21*j for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-5 + (-2 - (-6 - 1))).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3*((-1 - -3) + -1). Suppose -c*h + 150 = 2*h + s, -2*s + 52 = 2*h. Calculate the remainder when h is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/10 of a tonne?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -0.1, -41, 81, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -216, -872, -1966, -3498, -5468?\n\"Answer: -219*y**2 + y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 5*c - 26. Suppose -t + 77 = -g, g - 409 = -41*t + 36*t. Suppose 132 = 93*x - t*x. Solve c*u + 1 = x for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 19.69 - 21.7. What is the closest to j in -1\/3, -1\/8, 0.5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 130 (b) 5 (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -2*s - 7. Does 28 divide 56*-4*1\/s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -583433 > 14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 698386217 divided by -113?\nAnswer: -6180409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*p + 2*p. Let n be -1*(2 - 44*p). Suppose 4*t - 2*y + n = 246, -3*t - 4*y + 120 = 0. Is 25 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -17*q**3 - 890*q**2. Let v(h) = -5*h**3 - 297*h**2. Give 2*l(j) - 7*v(j).\nAnswer: j**3 + 299*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/20*5\/(-2)*(-620)\/558?\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/(-32))\/(1\/2). Which is the third smallest value? (a) u (b) 0.4 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1000*y**3 + 355*y wrt y?\nAnswer: 6000*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.01, -0.06, 4\/7.\nAnswer: -0.06, 0.01, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 78736, 157442, 236148, 314854, 393560?\n\"Answer: 78706*q + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -0.2 (c) 28 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 225, 893, 2003, 3555, 5549, 7985, 10863?\nAnswer: 14183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -52.26 minus -96.8?\nAnswer: 44.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 88? (a) -2\/5 (b) 3 (c) 0.1 (d) -1 (e) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilometer in meters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 210 and 2310.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1823 - -1825. Which is the third smallest value? (a) 3 (b) q (c) -192 (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/348 and 71\/37275846?\nAnswer: 74551692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18.7 - 20. Let s = 1 + l. Sort -4, -2\/9, 0.3, s.\nAnswer: -4, s, -2\/9, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.003*3.43.\nAnswer: -0.01029","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f + 8633 = 303. Suppose 5*b + f = 2458. Let j = b - 221. What is the tens digit of j?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u**(-2\/9)\/u))\/(u\/(u*u**(-5))*u*u)*u**(-1\/3)*u*u\/(u*u\/u**(2\/9)))\/((u*u**(-1\/2))**5)**(-3\/16) assuming u is positive.\nAnswer: u**(-1273\/288)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 98724*p**3 - 1943*p - 98724*p**3 - 2144*p**4 wrt p.\nAnswer: -25728*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1175 - 507. Is 667 at most as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 88 + -87. Solve r = o - s, -3*r + r = o + 11 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1080 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 19 - (88 + -119).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -36697*x + 39146*x - 44082 for x.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/7, -0.4, -6, 2\/3, 630011\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5809 and 407.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of -1\/6*z**3 + z + 0 + 3*z**2. What is the lowest common multiple of 10 and v(3)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (12\/7)\/((-26)\/(-91)). Suppose 1 + 3 = -3*n + 4*h, -2*h = 4*n - 24. Let o(i) = -4 + 4*i - i**2 + 5 + n. Give o(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 3*v**3 - 182*v**2 - 242*v - 332. What is j(62)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, n: 6, t: 1, k: 2, p: 5}. Give prob of picking 1 q, 1 n, and 1 k.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.35 * -13.75\nAnswer: -4.8125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = p + 1, -4*d + 293 = -3*p. Solve d*c = 76*c - 4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wllppexjpjjjj. What is prob of sequence ex?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 21*a + 163. What is the remainder when 142 is divided by x(-7)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 + 2*g - 3. Let b be l(-3). Suppose -4*w + 42 = -3*h - 47, 2*h + 6 = b. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10140123323 + 4?\nAnswer: 10140123332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h + 2*h - 1 + 3. Let c(t) = -t**3 + 6*t**2 + 7*t - 1. Let q be c(7). Let v be (6\/9*-6)\/q. Determine n(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1205550 + -25?\nAnswer: 1205524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16 - (-6 + -4)) + 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(637))**2 + 5.\nAnswer: 3190","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/(-62))\/((576\/(-7368))\/24). Which is smaller: a or 21?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 4, c: 4, u: 4, f: 4, w: 1, a: 1}. Give prob of sequence wa.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s = 2*s + 100. Suppose s = 4*o + o. Suppose 4*m - 577 = 3*b, 559 = o*m + 2*b + b. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 68 and 36?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the second derivative of -1\/6*n**3 - 2 - 5*n - 2*n**2 - 21\/2*n**4. Find the second derivative of s(o) wrt o.\nAnswer: -252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 7, -10\/9, 13205, -0.03?\nAnswer: 13205","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 161 - 88. Calculate the remainder when v is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 r when two letters picked without replacement from rctzrvrttctrzz?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j**4\/5 - 18228*j**3\/5 - 72852*j**2\/5 + 72912*j\/5 + 291456\/5 = 0 for j.\nAnswer: -6072, -4, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 y when four letters picked without replacement from dydyyyddyyyyyy?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1143 + 1022 - 2*m + 0*m - 5 + m + 5 + 3*m - 5*m + 4*m - 5*m + 3*m + 0*m + (4 - m - 4)*(2 + 3 - 4) + m - 5*m + 2*m.\nAnswer: -4*m - 121","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/((p**(-3\/2)\/p)\/p))\/(p*p*(p**(-4\/5)\/p*p)\/p*p))**49*((p*p**0*p)**(-2\/37))**(-2\/11) assuming p is positive.\nAnswer: p**(658199\/4070)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 167 is divided by 20?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 331\/14 (b) 1303 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Expand -w**3 + 3*w**3 - 3*w**3 + (-w + 2*w + w)*(5*w**2 - w**2 - 6*w**2) + 0*w**3 + 2*w**3 - w**3 + 0*w - 2*w**3 + 0*w - 12*w + 9*w + w**3 + 2*w**3.\nAnswer: -3*w**3 - 3*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 801 + 19*i**2 - 366*i + 207 - 199 + 83 + 362*i with respect to i.\nAnswer: 38*i - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -24 (b) 34 (c) -31 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 130 = 2*q + 148, 15 = 3*q + g. Solve -q = -5*w + 2*o, -w - o - 4*o + 6 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2835)*1)\/(sqrt(5) - sqrt(405)*-2).\nAnswer: 9*sqrt(7)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3560.\nAnswer: 2, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 1, g - 5*g - 38 = -2*q. Let w = g + 22. What are the prime factors of w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2851155401 - -0.4.\nAnswer: -2851155400.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g - a + 52 = 0, 2314 - 2422 = 3*g + 6*a for g.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vw when two letters picked without replacement from {v: 1, w: 4, h: 1, k: 1, g: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1882 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111011000111101110 (base 2) to base 3.\nAnswer: 110022011211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 7 = 5*q + 13, -12 = -2*k + 3*q. Suppose k = 4*i - 12, 2*p - 4*i + 9*i = 45. Solve -6 = -v - 2*f, -4*v + 2*f = -3*f + p for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.7 in 2, -0.4, 5, -189.7, -2, 21?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**2 - 13*y - 13. What is the remainder when 2\/6 + -13*32\/(-12) is divided by s(-11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.3 - 0.2. Let i = -61 + 106. Let h be 10\/25 + (-8)\/i. Sort d, h, -0.2 in increasing order.\nAnswer: -0.2, d, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1066026\/5 + 212304. Let o = k - -35603\/40. Calculate the common denominator of -83\/8 and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.5? (a) -4 (b) 0 (c) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1642*m**5 - 888*m**2.\nAnswer: 98520*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59 is divided by 0 - (-11)\/(-22) - (-45)\/2.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 75166 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/572 and -57\/12596.\nAnswer: 1801228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 77 - -16. Suppose 0 = 4*l - 2*c - 121 - k, 5*c = -3*l + 180. Does 11 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/1022 at most 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -37 + 2036*i + 35 + 325*i**2 - 5895*i**2 wrt i?\nAnswer: -11140","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2455808 and 256.\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 761*g**3 - 299*g**2 + 755*g**3 - 1514*g**3 in the form a*g**3 + c*g + o + l*g**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*b - 42 = -3*w - 12*b, -4*b = 2*w - 48. Calculate the least common multiple of w and 3.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -31 or -43?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*l + 3*l + 3*l**2 + 2*l - 4*l**3)*(3 + l - 3) to the form u*l**2 + a + k*l**4 + x*l**3 + i*l and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j. Suppose 0 = 5*a - 3*a - 1100. Let k(i) = -570*i - a*i + 1096*i. What is k(p(f))?\nAnswer: -48*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 959*h + 11. Let r(m) = 480*m + 5. Calculate -6*c(i) + 13*r(i).\nAnswer: 486*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.1 - -0.9. Let z = 6 + -10. Let k = z + 8. Which is the closest to -1\/3? (a) k (b) 0 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 403844 is divided by 31063.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2020 (base 3) in base 8?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 639 a factor of 1074285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5764225397?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 430*c**3 + 755*c?\nAnswer: 2580*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 6213027123?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z = -13*z + 576. Let a = z - 93. Solve -5*s - i = 1 + 1, 9 = a*i for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 123160, 246322, 369488, 492658, 615832, 739010?\nAnswer: 862192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 3*c = 16 + 17, 2*f - 2*c - 38 = 0. Suppose -j = -b - 2*j + f, 3*b + 2*j - 70 = 0. Calculate the smallest common multiple of b and 48.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*i*(((((i*i**16)\/i)\/i)\/i)\/i)\/i*i**(-1\/18)*(i**(2\/5)*i)**10)**(-7) assuming i is positive.\nAnswer: i**(-3647\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2.3, 1\/6, 3, 3\/8, 0, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*n - 7*n**3 - 4*n + 2*n**3 + 5*n - n**2 to d*n**2 + q*n**3 + p*n + y and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -398 + 96*n + 97*n + 398 in the form g + b*n and give b.\nAnswer: 193","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 541603.4 micrograms in grams?\nAnswer: 0.5416034","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3\/7))**(-1\/2)\/(h*h*h**(3\/5)*h)**36 assuming h is positive.\nAnswer: h**(-9057\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 200018?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = 2*u - 2, 6212 = -3*u - d + 6198 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ry when two letters picked without replacement from {y: 2, q: 4, l: 4, e: 1, r: 1, g: 2}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 6:35 AM?\nAnswer: 3:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 2558?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1252 - 506. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48*b**3 + 35*b**3 - 59*b**3.\nAnswer: -72*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 663 by -4.\nAnswer: -663\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 5*m + 90 = 0, 0*m = -5*i - 3*m + 119. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*m = 108628 - 304120. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1\/2 + 1\/2*n**2 + n = 0. Calculate n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22.3 + -22.7. Let z(g) = -g**2 + 10*g - 21. Let n be z(7). Suppose 5*r = 2*r + 4*l, n = 5*r + 5*l + 35. Sort 4, w, r, 4\/13.\nAnswer: r, w, 4\/13, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -208.8275 times 486\nAnswer: -101490.165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6.3 + 25.7. Let n = d + -31.9. Which is the second smallest value? (a) n (b) 4 (c) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/8))**6 assuming a is positive.\nAnswer: a**(3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16055*x - 1028*x**3 + 49 - 51 - 16055*x.\nAnswer: -1028*x**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 14*k**3 + 11*k**2 + 2*k + 5. Let x(b) = 57*b**3 + 50*b**2 + 9*b + 21. Determine 9*i(c) - 2*x(c).\nAnswer: 12*c**3 - c**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {m: 4, x: 2, g: 1, a: 3, w: 1}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -401024 (base 5) to base 8\nAnswer: -30537","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c - 15. Determine a(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -76.66 + 70.297. Let o = b - -6.36302629. Round o to five decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + n + 1 + (4 - 2 - 4)*(-2*n + 0*n + n) - 2*n + n + 2*n - 2*n + 3*n + n + 0*n - 5*n + 2 + n to the form a*n + h and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**3 + 0*h**2 + 0*h**2)*(4 + 0 - 6)*(-h + 2*h - 3*h)*(h + h - h) + (5*h**4 - 3*h**4 - 3*h**4)*(2*h - 4*h + 4*h) - 4*h + 4*h - h**5.\nAnswer: -11*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 minutes after 2:59 AM?\nAnswer: 3:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -85 + 2*t + 121 - 429 - 73 - 376 as v + u*t and give v.\nAnswer: -842","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -967\/288 + 29\/144. Find the common denominator of f and 97\/24.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xj when two letters picked without replacement from {x: 2, j: 6}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*1*sqrt(70)\/sqrt(5))\/(-4*(sqrt(7) - ((1*sqrt(84))\/sqrt(12) + sqrt(7)))).\nAnswer: 5*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-9))\/((-11)\/2)*((-365391)\/4858 + 75).\nAnswer: -1\/77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/5094670 and -61\/438.\nAnswer: 15284010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, p: 2, j: 2}. Give prob of sequence jd.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the first derivative of 5*y**6\/2 + 17*y**5 - 1095*y**4\/4 - 3245*y**3\/3 + 12600*y**2 - 8000*y + 1322. Let u(p) = 0. What is p?\nAnswer: -8, 1\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 24666127 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18506 divided by 19.\nAnswer: -974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -2\/13, 2, -0.3, -1.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 PM and 9:21 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 169, 0.3, -0.5, -109\/58, -2, 0 in ascending order.\nAnswer: -2, -109\/58, -0.5, 0, 0.3, 169","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -3*u - 12. Let m be x(-6). Suppose 0 = m*q - 5*q - 132. Is q a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 202021101 + 201001001?\nAnswer: 1110022102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1375)*-2 - sqrt(1375))\/sqrt(5).\nAnswer: -15*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18210 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 2*x + 331 = 0, x = 2*i - 0*i - 219. Calculate the remainder when i is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/35163 and -43\/45.\nAnswer: 175815","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23 - -1. Let s = v + 24. Suppose 4*p - 3*d = 23, s*p - 7*p + 2*d = -20. Calculate the lowest common multiple of 56 and p.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -93 - -72 - (-5 + -1)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5230388 divided by -6.\nAnswer: -2615194\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u. Let k(g) = -3 + 158*g**2 + 94*g - 203*g**2 - g**3 - 1 + 2. Let v be k(-47). Give d(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-20)\/15*(-3)\/(-18))\/(18\/(-162)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 6628?\nAnswer: 33140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5776 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, t: 1}. Give prob of picking 1 t and 1 i.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w**3 - 16*w**2 - 18*w + 36 = 0. Calculate w.\nAnswer: -6, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-300)\/15*(-3)\/(-15)*-3. Let n(u) = 59*u - 168. List the prime factors of n(z).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00008651655 rounded to 6 dps?\nAnswer: -0.000087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 302959386 to the power of 1\/2, to the nearest integer?\nAnswer: 17406","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u**3 - 3*u**3 - 2*u**3)*((3 + 6 - 5)*(-107*u + 204*u + 33*u) + 1 - u - 1).\nAnswer: -1038*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-36) - (2\/(-12))\/((-54)\/(-1044))?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 798\/(-42) + 726\/38\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7679 times 0.1?\nAnswer: 0.07679","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 2906848 a multiple of 1064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2055545, 0.5, -169?\nAnswer: -169","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l**2 - 5*l + 5*l + 1)*((0 + 1 + 0)*(-5*l + 3*l + 3*l) + 3 - 3 - 3*l).\nAnswer: -6*l**3 - 2*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -11847572 divided by -11\nAnswer: 1077052","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + (-1 - -2 - -6) - -8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -1292.\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -15*x**5 - 4*x**3 + 3*x - 6. Let u(m) = -29*m**5 - 7*m**3 - m**2 + 5*m - 13. Let s(a) = -3*u(a) + 5*w(a). What is the third derivative of s(k) wrt k?\nAnswer: 720*k**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1 + -0.08. Suppose 4*k + 4*f = 16, 3*f - 43 + 35 = -2*k. Which is the biggest value? (a) 5 (b) s (c) 3 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -24 * 13487.\nAnswer: -323688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**2 + 16*w + 2. Let j be l(16). Suppose 0*f = -j*f + 270. What is the highest common factor of f and 54?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2169\/11 - -197. Let k = -93\/28 + 25\/7. Which is the nearest to -2\/15? (a) -0.5 (b) t (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.08389 + -11.85589. What is l rounded to zero dps?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 79 + -5. What is the remainder when j is divided by 44?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6963185*g**3 + 5381070*g**2 - 7?\nAnswer: 41779110","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 29665983 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the third derivative of -u**2 + 0*u + 1\/6*u**4 + 0 + 1\/3*u**3. Does 6 divide z(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8804864 a multiple of 1487?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 32 - 158 = 0. What is the tens digit of 22*7\/(o\/(-9))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1c (base 15) to base 2\nAnswer: -11011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 1232000 = -30*q. Round q to the nearest 1000.\nAnswer: -56000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 257 - 753 = -103*q - 21*q. Let b be (6\/9)\/(6\/(-27)). Sort q, -39, b, -1 in ascending order.\nAnswer: -39, b, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.25226*-0.2.\nAnswer: 0.050452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(2 + (sqrt(36)\/sqrt(4))\/sqrt(3)))**2*3 + (4 + -5 + 2*sqrt(147))**2*-5.\nAnswer: -2189 + 572*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -3*a**5 + 795*a**4 - 53841*a**3 + 154437*a**2 + 3144*a - 205932 = 0?\nAnswer: -1, 2, 131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 394160 and 208?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 + 11*c**2 + c + 12. Let a be i(-11). Solve -w + 2 = -a for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 797897 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, c: 5, w: 2, j: 1, s: 1, m: 3}. Give prob of picking 2 w and 1 s.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -5*i + 9. Suppose 20*t - 23*t = -i. Solve 0 = t*k + 3*v - 4, k - v + 5 = v for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*r - 620 = -12*r - 6*r. Solve -6*u = -7*u - 2*c + 6, -r = -4*c for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 37, 4\/17, -4, -1\/6, -363 in ascending order.\nAnswer: -363, -4, -1\/6, 4\/17, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 559943?\nAnswer: 127, 4409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131877666 is divided by 539.\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 AM and 5:04 PM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbbi when four letters picked without replacement from biiibibbbiibib?\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c50233 (base 13) to base 9.\nAnswer: -8578207","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4123 (base 9) to base 6.\nAnswer: -21550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w**3 - 3*w**2 - 4*w + 5425. What is the hundreds digit of k(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of -u**2 - 1\/8*u**4 + 0*u - 2\/3*u**3 + 0. Determine r(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - f - 28465 = 0, -5*f + 2*f = 3*s - 21345. List the prime factors of s.\nAnswer: 2, 3, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-1)*((-21)\/6)\/7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (12\/14)\/(4\/14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -5*t - 7*t + 2*t + 2*t - t**3. Let y(z) = -2*z**3 - 17*z. Suppose 14*l - 79 = -163. Calculate l*y(p) + 13*h(p).\nAnswer: -p**3 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-64)\/2)\/(-704)*(0 - -2)?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7450 rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a millennium in years?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4 - 0. Suppose 0*d - 4*j = 3*d - 24, 5*d = 4*j + 8. Solve -x - d*x = b*u - 29, 5*u = x for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19264 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.42+-108970\nAnswer: -108970.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.10368 times 183.6?\nAnswer: -19.035648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 59709801?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(102)\/(sqrt(216)*2)*3.\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, e: 7, s: 2}. What is prob of sequence edsd?\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -87*f**3 + 21*f + 30. Let a(b) = -3*b**3 + b - 1. Let d(w) = -63*a(w) + 3*s(w). What is the derivative of d(r) wrt r?\nAnswer: -216*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-305)\/1159*(3\/3)\/(-5).\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1 + (24\/(-5))\/(-3). Let k = -98.9 - -99.9. Which is the biggest value? (a) -2\/3 (b) i (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 93.08 + -84. Let q = y + -0.08. Let j = q - 8.999998. Round j to 6 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1939*f + 391*f + 1111*f + 5376 - 5376 to p*f + y and give p.\nAnswer: 3441","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 82.1 in -58, 66, 1?\nAnswer: 66","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from loevk. Give prob of picking 1 o, 1 l, and 1 v.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z - 4*z + 440. Let y(r) be the third derivative of r**4\/12 - 5*r**3\/3 - 3*r**2. Let v be y(10). What is the highest common factor of v and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17677915.\nAnswer: 5, 23, 347, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/18? (a) -2\/47 (b) -4 (c) -1 (d) -7\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14477?\nAnswer: 31, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51, 65, 87, 117, 155?\nAnswer: 201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 64 = 4*n - 28, -2*q - 96 = -4*n. Let b = 4506 + -4490. What is the least common multiple of b and n?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 989 - 28675\/29. Let r = 74\/203 + q. Let h(k) = -k - 7. Let y be h(-5). What is the second biggest value in r, 0, y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k - 350*k**3 - 5 + 5 - 996*k**3 + 111*k**3 to the form s*k**3 + m*k**2 + z + i*k and give s.\nAnswer: -1235","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 27 = 5*t - 2*a, 5*t - 31 = 3*a. Solve 0 = t*b - 5*c, 2 = 4*b + c - 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24943 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 641 - 643.48. What is p rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 376374 and 2235.\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*p**3*x + p**3 + 9330*p**2*x + 1003771*x wrt p?\nAnswer: 6*p**2*x + 3*p**2 + 18660*p*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 12, 29, 40, 45, 44, 37?\n\"Answer: -3*u**2 + 26*u - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12197 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -85 + 121. Is h a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 128*v + 181 = 133*v, -3*v + 0*v = -3*p - 96 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9719 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 52.45933 meters?\nAnswer: 5245.933","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of 7*u**4\/12 - u**3\/3 + u**2\/2 - 3*u. Let w be z(1). Suppose -w*i = -2*i - 12. Solve 0 = -i*y + 2 - 5 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 137717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -278 = 22*q - 388. Let w = 0.2 + -0.6. Which is the closest to 2\/5? (a) q (b) w (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 612? (a) 1\/9 (b) -0.2 (c) -513 (d) -2\/9 (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - -49702)*(11 + -10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9625034899 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + 39. Suppose -c = -3*r, -c - 5*r - 17 = -i. Find the second derivative of 20*h**5 + c*h**5 - 8*h - 15*h wrt h.\nAnswer: 640*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 47 = 2*v + 7, 4*g = 5*v + 15 for g.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 6*(0 + -5*(sqrt(500) + 0) - (-2 + 0 + sqrt(500) + 5))*-4 + 4)**2.\nAnswer: 216000*sqrt(5) + 10373625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 2158 = 2*n + 3*c, -5*n = 5*c - 5415. Calculate the greatest common divisor of n and 94.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 198 - 85. Let d = 113.000000243 - a. Round d to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -112 (base 4) to base 2\nAnswer: -10110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 - 7*s. Let g(o) = 58*o**3 - 3*o**2 - 28*o - 56. Give g(a) - 4*l(a).\nAnswer: 58*a**3 + a**2 - 56","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 857, 1721, 2573, 3407, 4217?\nAnswer: 4997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 26. Suppose k = -n + 6*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 x(v) = -v**2. Let k(o) = 2142*o**2 - 9*o. Let f(u) = -6425*u**2 + 24*u. Let i(j) = 3*f(j) + 8*k(j). Determine i(x(g)).\nAnswer: -2139*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -13740, -31968, -50160, -68298, -86364?\n\"Answer: 3*g**3 - 18249*g + 4506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72749971 is divided by 2959?\nAnswer: 2956","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 PM and 8:33 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12927 - 50*n**2 - 12928 - 13*n**2 + 25855.\nAnswer: -63*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0322 * -0.193929.\nAnswer: -0.0062445138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*f + 1901 - 2531 = 0 for f.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20899 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-11)\/(-22))\/(1\/2). Let u = g + 3. Let i(s) = s**3 + 17*s**2 - s - 15. Let m be i(-17). Are u and m equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*r = -42*r - 2*w - 6, 3*w = r + 6. Which is the nearest to 26? (a) 0 (b) -2\/3 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 + 2*j**2 - 2*j + 136. What is m(0)?\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of 2*d**7\/21 + 11*d**4\/12 - 6*d - 13. Let h(s) be the first derivative of i(s). What is the third derivative of h(r) wrt r?\nAnswer: 240*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x. Let u(v) = -v**2 + v + 3. Let t = -481 + 484. Let f be u(t). Calculate j(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*s - 540 = -65*s. Let v = 178 - s. Suppose -2*q + 32 = 3*p - 1, -2*p = 10. What is the remainder when v is divided by q?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70)*-2*-5 + sqrt(70) - ((sqrt(70) - (1*sqrt(70)*5 - sqrt(70))) + sqrt(70)))*-5)\/((sqrt(40) + sqrt(640)*5)\/(sqrt(160)\/sqrt(10))).\nAnswer: -130*sqrt(7)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (-2 + 5)) + -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/9 (b) 0.3 (c) -1\/2 (d) 258 (e) -0.12 (f) 0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 + 28*z**2 + 104*z + 4. Calculate the lowest common multiple of 30 and n(-5).\nAnswer: 3090","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = -5 - 10, -4*d + 4*x = -20 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 9256 - 771. Does 19 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the third derivative of -k**6\/40 + k**4\/12 + k**3\/6 + 9*k**2. Calculate s(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 50\/(-2) + 11 + 41. Solve -105 = -33*y + w for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -22 - 28 - 10*x**2 + 15*x**2 - 8 as j*x**2 + v*x + r and give r.\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 770443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -4*n**3 + n**2 - n. Suppose -y = -5*a - 47, -y + a + 43 = -0*y. Let s be 0*(-7)\/y + -2. What is t(s)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 PM and 4:04 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 164*n**2 + 28*n - 98. What are the prime factors of c(4)?\nAnswer: 2, 1319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n = 13*o + 26 - 103, -3*o = -5*n + 5 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 685\/34 less than or equal to 20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + (-12)\/80*-15)*12?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -12*f**2 + 7*f**2 - 12 - 21*f + f**2 + 37*f + 5*f**2. Calculate k(-17).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2566.45 tonnes to nanograms.\nAnswer: 2566450000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (9\/2)\/3*-6. Let i(g) = -g + 5*g**2 + 4*g + 6*g - 2. Suppose 4*r = 14 + 2. Let x(q) = 2*q**2 + 4*q - 1. What is r*i(w) + t*x(w)?\nAnswer: 2*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5594070 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, h: 3, y: 6, z: 1, g: 2}. Give prob of sequence hh.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1065 + -2215\/2. Let f = 925\/22 + y. Which is greater: 0 or f?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9847479 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11\/(-66)*-75*27\/(-45)*-4.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5221319 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 4*y**4 + 440*y**3 - 5324*y**2 = 0?\nAnswer: -121, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 49721 or 49969?\nAnswer: 49721","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 288 = -212. Let j = m - -150. Suppose -6*x + j = -x. Is x a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -45818*b**5 + 5*b + 45823*b**5 + 2*b - b**5 - 2*b**5 + 0*b**5 + (1 - 1 + 2*b**3)*(2*b**2 - 4*b**2 + 3*b**2).\nAnswer: 4*b**5 + 7*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 97526, 97532, 97542, 97556?\n\"Answer: 2*a**2 + 97524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.1 + 0.8. Let w = b - -1. What is the biggest value in w, 3, -5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - 21. Let j = -27.09 - r. Which is smaller: -0.3 or j?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 284.22843 months in millennia?\nAnswer: 0.0236857025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**4 + 730*l**3 + 2155*l**2 + 1430*l.\nAnswer: 5*l*(l + 1)*(l + 2)*(l + 143)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -5*m**2 - 21*m. Let k be p(-4). Let h be 44*(7\/(-2) + k)\/1. Suppose -92 = -5*v + 18. Calculate the highest common factor of h and v.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 176044095 is divided by 88022044?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -390 = 44*h + 9*h + 12*h for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14*(-4)\/6*(465\/(-45))\/(-31)*-9.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of -10*g**3 + g**2 + 4. Let n be h(1). Let k = 43 + n. Solve i = 3*d - 11, 3*i - k = d - 2*i for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:53 PM and 6:43 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do -66 and -855\/13 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 2 + 0 + 9*d + 12*d**2.\nAnswer: 12*d**2 + 9*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -83 + 88. Suppose d = -p*w - 12 + 57, 5*d = -w + 9. Solve -12 = 3*v - w for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yb when two letters picked without replacement from bbbbbbbybbbbb?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -2, 5, 25250, 2.\nAnswer: -20, -2, 2, 5, 25250","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 + x - 9. Let o be l(-8). Suppose -2*d - 2*r - 34 = 0, 4*d - 2*r + o = -39. Let y = -8 - d. Which is smaller: y or 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6585.864 meters?\nAnswer: 658586.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22\/34*12 + -2*3?\nAnswer: 30\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 6*y**3 + 144*y**2 + 282*y + 136. Let d(s) = s**3 + s**2 + 2*s. Let a(g) = -4*d(g) + t(g). Factor a(b).\nAnswer: 2*(b + 1)**2*(b + 68)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f**5\/4 + 17*f**4 - 334*f**3 + 2971*f**2\/2 - 2263*f\/4 - 4805\/2 = 0. What is f?\nAnswer: -1, 2, 5, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k + 86 = 7*k. Let i = 203 - k. What is the greatest common divisor of 9 and i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 199*q - 33776. Give c(164).\nAnswer: -1140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 99\/21 - (-4)\/14?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -2. Suppose -m - x + 6 = -j*x, -5*x = 3*m + 15. Solve m*s = -2*s + 10 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 0.5, 28, 3\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -200*s**2 + 49*s + 11*s - 10*s**3 + 203*s**2 + 4*s**5 wrt s.\nAnswer: 240*s**2 - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 4*k - 3*k + 0*k. Let d(t) be the second derivative of -7*t**4\/24 + 91*t**2\/2 - 2*t - 11. Let s(o) be the first derivative of d(o). Determine b(s(z)).\nAnswer: -7*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 + 78 - (3 + -11 - -7) a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79579 = 1136*m + 2300*m - 258251 for m.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 613 greater than or equal to 1466?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 - 4 = -2*y - 2*i, 10 = 2*y + 4*i for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 54 = 3*h, 5*u + h - 58 = -16. Let q be (-6)\/u + (-4596)\/(-9). Round q to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of x**4\/16 - 343*x**3\/2 + 352947*x**2\/2 + 118*x - 7. Factor b(s).\nAnswer: 3*(s - 686)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2462 + 2606. What is the highest common factor of 192 and j?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -74792 + 290433. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -661.43 + 659. What is the closest to 0 in p, -1, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*l + 67*l = 1081991 + 340321. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (89 - (-72 + 165)) + (0 - 15) + 0.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2991736 and 78?\nAnswer: 116677704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:13 AM and 6:09 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*(2\/2 - ((-245)\/(-21) + -1)). Let o(j) = 1 + 3*j + 0*j - 2*j - j**2 + 9*j**3. Let g be o(-1). Which is smaller: v or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 846 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.056 - 0.12. Let f = -0.078 - z. What is f rounded to two decimal places?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -56, 0, 1100, 3, -3 in increasing order.\nAnswer: -56, -3, 0, 1, 3, 1100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 74598472.14 rounded to the nearest 100000?\nAnswer: 74600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve f**2 - 138*f + 405 = 0.\nAnswer: 3, 135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15821138?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 27553041*n**3 - 8727441*n + 1 wrt n?\nAnswer: 165318246*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of -q**4\/12 - q**3 - 2*q**2 + 2*q. Let z be w(-4). Let g = z + -1. Does 3 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 437480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*m**3*x**2 - 1271*m**3*x + 3*m**2 + 36*m*x**2 + 9 wrt m.\nAnswer: 12*x**2 - 7626*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) 10 (b) -0.1 (c) 3 (d) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3075, 6179, 9269, 12333, 15359, 18335, 21249?\n\"Answer: -2*c**3 + 5*c**2 + 3103*c - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 98 + 26 = 0. Suppose 390*h = 143230 + 109490. Calculate the highest common factor of h and b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 135*n**5 - 173*n**3*u**3 + 5613*n**2*u**3 + 2*n*u**2 - n - u**3 wrt n?\nAnswer: 8100*n**2 - 1038*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*h - 1, j - 15 = 5*h. Suppose -8*m = -13*m + 250. What is the greatest common divisor of j and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 474084 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -40242*d**4 + 63*d**2 - 30*d - 1?\nAnswer: -965808*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -44, -83, -140, -221, -332, -479?\nAnswer: -668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 - -3. Let j be (114\/q)\/(2\/(-36)). Suppose j = 3*z + 5*t, z = -2*t + 67 - 10. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 1 = 2*s. Is 2\/61 at least s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 8:57 PM?\nAnswer: 1:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 - 24*t**2 - 3 - 46*t**2 + 21.\nAnswer: -70*t**2 + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8050 is divided by 2559.\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 18033744623 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -3 + i + 3 + 5. Let s be v(4). Calculate the greatest common factor of s and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = -0*r, 5*o + 10 = -3*r for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u + 4*u + 0*u + 2*u.\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 6:07 AM?\nAnswer: 7:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.3 - 1.3. Let j = 2\/9 + 0. What is the nearest to z in 2\/7, -2\/7, j?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18 - -39. Calculate the remainder when 82 is divided by c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**2 - 20*n + 69. Let a be 32\/(-8)*1*(-92)\/(-16). Let q be b(a). Let k(o) = -o**3 + 7*o**2 - o + 7. Let z be k(7). Solve -4*f + z - 20 = q for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25054 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6165 - -6167. What is the fourth biggest value in 0.2, -4\/3, 5, -0.228, i?\nAnswer: -0.228","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 2*s - 7 = -5*s, 0 = -4*s + 16. Let y = 105 + -523\/5. What is the closest to -6 in y, d, 1\/7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 449 is divided by 147?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and ((-65880)\/(-1708))\/(4\/14)?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g + 3. Let x be b(3). Suppose 0 = -2*i, x*c + 3*i - 3 = -c. Suppose w - 4*p - 22 = -0*p, 5*p = -c*w + 15. Is w a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(13) + -2 + -3)**2 + 2.\nAnswer: -10*sqrt(13) + 39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 405772.\nAnswer: 2, 61, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7\/4672 - -3472471\/4672. Let d = h + -747. Find the common denominator of d and 87\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 231403 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 1 = -2*g - 4*u, 4*g - 2 = 5*u. What are the prime factors of g\/(-9) - (-19)\/3?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 9}. Give prob of sequence qqqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 2 o, and 1 a when four letters picked without replacement from ehkehheeoehkeoeehka.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 66*t. Let j(w) = -2*w - 6*w**2 + 11*w + 12*w - 21*w. Determine j(c(y)).\nAnswer: -26136*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 i when two letters picked without replacement from mqiinn?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 1684 = 3*s, -3*s + 1598 = 3*l - 88. What is the lowest common multiple of 11 and s?\nAnswer: 561","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2c6b - 10b2?\nAnswer: -4050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n, 1 d, and 2 t when four letters picked without replacement from trtndddtddvttd.\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*h + 18*h = 17 - 477 for h.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33315275?\nAnswer: 5, 7, 127, 1499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the first derivative of -3*o**2 + 1\/3*o**3 - 4*o - 8. Let y be r(7). Solve 0 = -y*b - 2*b + 20 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -35 - (57 - (32 + 120)).\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*f**3 + 144*f**2 + 289173*f - 868734.\nAnswer: -3*(f - 334)*(f - 3)*(f + 289)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1.79 * 0.06054\nAnswer: -0.1083666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 9074*z - 27216. What is m(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 38428909 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 84 and 20?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4333433 (base 5) to base 9.\nAnswer: -122752","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -266*h = -269*h - 6. Sort -11, -4, h, 0 in increasing order.\nAnswer: -11, -4, h, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-5*2*4*4*sqrt(684)*5 + -4 + 4)**2.\nAnswer: 15759360000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (16 - 2)\/(-1)*(2 - 3).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 2*h**3 + 36*h**2 + 32*h - 26. Calculate the remainder when 13 is divided by u(-17).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 453 + 431. List the prime factors of p.\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 10437\nAnswer: 1\/10437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 29 = 4*y - 3*y, 0 = 5*b. Differentiate -y - 23 + 17*d**2 - 68 with respect to d.\nAnswer: 34*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -81 + (-22 - -80) + -30?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -26274777534 rounded to the nearest 100000?\nAnswer: -26274800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = -1308*h + 1310*h + 157, 0 = -5*f - 5*h + 150. What is the remainder when 106 is divided by f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-5))\/((-1)\/(-2))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 170 + -330. What is the units digit of (27\/12)\/((-15)\/m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q - 2. Let x be g(-6). Suppose x*s + 14 = 42. Solve 4*p + n = s, -9 = -2*p + 4*p + 3*n for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/4026400 and -27\/186940?\nAnswer: 52343200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 2*n = 6, 5*n = -13*j + 15*j - 4. Solve 0 = 3*v - 4*c + 4 + 5, -6 = 2*v + j*c for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -g, -2*t + 5*g + 120 = 13*g. Calculate the remainder when 2331 is divided by t.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 4*x - 40 = 0, 2*j - 4*j + 67 = -5*x. Let k be j\/(-45)*10\/4. What are the prime factors of 4\/(k\/(-31) - 0)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 254*j**3*r*y + 10*j**3*r + 2*j**3*y + 68*j**3 + 7125*j**2*r - j*r*y + 31*j*r wrt j.\nAnswer: 1524*r*y + 60*r + 12*y + 408","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h - 3*h**2 + h + 0*h**2 + 2*h**2 + 1 - 3 + (-2*h - 3*h - 6*h)*(-h + 3*h - 3*h) to the form w*h + g + p*h**2 and give p.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2358*63070.\nAnswer: 148719060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 531, 3, 0.04, 6 in descending order.\nAnswer: 531, 6, 3, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -65.5 + 63.5. Let r be 32\/(-171) - 2\/(-9). Which is the biggest value? (a) r (b) -2\/3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43*0.4.\nAnswer: 17.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2. Suppose -3*m - r + 10 = 0, -m + 12 = -r + 2. Let n(g) = -g**2 + 9*g - 12. Let b be n(m). Let w(y) = -5*y - 7*y - b*y. Calculate w(j(h)).\nAnswer: 20*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 557 - 341*j**3 + 4014 + 35987*j - 107960*j + 35985*j + 35986*j wrt j?\nAnswer: -1023*j**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.274 and -4.01?\nAnswer: 1.09874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**(3\/8)*a)\/a)\/a)\/(a**(-13)*a) assuming a is positive.\nAnswer: a**(91\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 447856.6 litres?\nAnswer: 447856600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 5088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002043 to 5 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -4. Let i be (z\/3)\/((-4)\/(-132)). Solve -4*r = -5*u - i, 2*u - 3*r = -5*r + 10 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -238, -641, -1332, -2305, -3554, -5073, -6856?\nAnswer: -8897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2*(-12)\/32*848\/(-159)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (3 - (0 + -3 + 5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 58.17497 millennia in centuries?\nAnswer: 581.7497","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 4:10 AM?\nAnswer: 7:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2850?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (7\/7)\/(8 + 0)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-45)\/(-63))\/(2\/14). Suppose 9*b - t*k - 45 = 4*b, -b = -4*k - 18. Let q = 0 + 15. Calculate the greatest common factor of q and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 36, 162, 376, 678, 1068, 1546, 2112?\n\"Answer: 44*b**2 - 6*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 508830 and 266530?\nAnswer: 5597130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -627*n + 1252*n - 605*n.\nAnswer: 20*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 76*m**2*q**5 - 38*m**2*q**2 + 4*m**2 - 16*m*q**6 wrt q?\nAnswer: 4560*m**2*q**2 - 1920*m*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = 3*q + 4. Let i be (6\/60)\/((-2)\/q). Suppose -2*s - 39 = -41. What is the closest to s in -0.2, i, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -140*n - 25. Suppose -24 = -0*d + 4*d. Let u = d + -6. Is p(u) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 207 a factor of 913827140?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 680768, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4c + a8c1?\nAnswer: a875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 176\/(-64)*(3 + -2255)?\nAnswer: 11, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1f (base 16) to base 8\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26121 is divided by 6521?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)\/(-2*sqrt(6)))\/(sqrt(20)\/(sqrt(8)\/sqrt(4))).\nAnswer: -sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74099 is divided by 143.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 10}. What is prob of picking 4 n?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2456 (base 15) to base 7\nAnswer: -31353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, b: 10}. What is prob of sequence tt?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1592170853.\nAnswer: 7, 13, 17, 1029199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15163264 is divided by 1002.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/4, 25, 0.101 in descending order.\nAnswer: 25, 0.101, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q - 2 + 0 - 2. Let k(x) = x + 1. Let u be (7 + -1)\/((-6)\/(-4)). Suppose 2*f - 6 = -4*j, -u*f = -j + 4*j + 3. What is f*k(o) - v(o)?\nAnswer: -2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -2*u**5\/13 - 346*u**4\/13 - 12224*u**3\/13 + 856400*u**2\/13 + 5140000*u + 1209500000\/13 = 0.\nAnswer: -82, -50, 59","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g + 7. Let t be l(0). Suppose 26 = 4*y + q, 3*q - 1 - 17 = -2*y. Solve -t*w + 4*w = y for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 + 7*j**2 + 8*j + 10. Let s be w(-6). Put -5, 1, 0, s in descending order.\nAnswer: 1, 0, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15)\/270 - (1\/9 + 0).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, t: 7, a: 4, d: 3, h: 1}. Give prob of sequence atea.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -290*t - 3382 - 4523 = -489*t - 1736 for t.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes before 5:27 AM?\nAnswer: 1:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 763104 and 2592.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 388 bigger than 53\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27318231 is divided by 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + (12\/(-3))\/(-2). Suppose 6*c - c + 4*a = 25, a - 5 = y. Find the second derivative of 6 - c - 5 + 3*s**4 - 2*s wrt s.\nAnswer: 36*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 - 7*u. Let v(c) = 6*c. Let b(a) = -4*q(a) - 6*v(a). Find x, given that b(x) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25999 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -1\/2 (b) -3 (c) -13 (d) 0 (e) -6 (f) -5 (g) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 600320 or 600322?\nAnswer: 600322","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7928*j - 10087 = -7939*j. Calculate the remainder when j is divided by 296.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 332 a factor of 3934532?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25763 is divided by 85?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 126 and 2235?\nAnswer: 93870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 344 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 71, 6\/5, -5\/2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in nine tenths of a millimeter?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 10\/17, -15, 13?\nAnswer: 10\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4003*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-170))\/(9570\/54230).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122202 - -2?\nAnswer: -122200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 125 and 175.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 3*n - 3*l = -11, 3*l = 2*n + 13. Is -6 + 0 + 1181 - n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -0.4 (b) -5 (c) 5 (d) 0.2112 (e) 2.4 (f) 0.02\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -0*t - 2*t. Let s(w) = -w**3 + 7*w**2 - 1. Let y be s(7). Let i be (2 + (0 - 2))\/y. Solve -z - t*z + g + 24 = i, 6 = 2*z - 4*g for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -21*q**2 + 1803*q + 237. Calculate p(86).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-52)\/(-273) + (-41)\/246)\/(5\/15).\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, n: 6}. Give prob of picking 2 g.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + 1 - (-210 - -195).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*k + 28*k - 3*f - 86 = 0, -5*k - 102 = -f - 49 - 61 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2*f - 3 = -16, -3*y + 5*f = 44. Suppose -7*u - u = -584. Suppose u*q = 68*q + 5. Which is the second smallest value? (a) -2 (b) q (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15648220 to the nearest integer?\nAnswer: 3956","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1488664*c**4 + 7025434*c**2 wrt c.\nAnswer: -35727936*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2883 or -5757?\nAnswer: -5757","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*o**2 + 0*o**2 + 117*o**2 in the form c*o**2 + h*o + x and give c.\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 173*y - 90*y - 102*y + 2014. Calculate the remainder when 543 is divided by y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1196.16861 to the nearest one hundred.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**3 + 3*r**2 + r + 1. Let a be b(-2). Suppose -a*u = -4*u + 13. Let q(m) = 36*m + 1440. Let x be q(-40). Solve -4*p + x = i + u, 3*p + 8 = i for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*f**2 - 3560*f - 25018 = 0. What is f?\nAnswer: -7, 1787","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 0.6 (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 5 (c) -0.0607 (d) 0.3 (e) 32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -72103*w**3 - 72*w**2 + 34429921 wrt w.\nAnswer: -216309*w**2 - 144*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 2, o: 5}. What is prob of sequence oob?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33, -85, -203, -393, -661, -1013, -1455?\nAnswer: -1993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/1)\/(294000\/2520*3\/(-1)).\nAnswer: -2\/175","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = 4*b + 100, 4*b = 35*f - 32*f - 68 for f.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 172 = 13*f - 10*f + 4*u, 5*f + 5*u - 295 = 0. Suppose 0 = 2065*t - 2069*t + f. Calculate the least common multiple of t and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/8, 35, 3, -1, -2, -0.3 in decreasing order.\nAnswer: 35, 3, -0.3, -3\/8, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -7 + (-3 - (-5 + (0 - 1 - -11)))\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 + 1 + 1)*(2 - 2 - 2*o) - o - o + 0*o)*(1 - 1 - 2*o**2).\nAnswer: 8*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -3310.834 to the nearest 10.\nAnswer: -3310","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 r, and 1 n when three letters picked without replacement from {o: 2, r: 1, n: 1, u: 2, j: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l**2 + 2*l + 10. Let x = 148 - 154. Calculate the remainder when w(-5) is divided by (-736)\/(-69) - 2\/x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 161799 - -1199619.\nAnswer: 1361418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 178199*i = 178170*i + 1366799. List the prime factors of i.\nAnswer: 7, 6733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 + -1)\/(31\/403). Suppose 5*u - 18*j = -h*j + 2655, -j = -1. What are the prime factors of u?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 + 10*z**2 - 21*z + 4. Give y(6).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*q + 92 = 3*q + 67, -5*q = -2*p + 23 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*u + 2998 = 2918 for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(96\/(-4))*(-4)\/(-8).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*y = 15*y - f + 88, -2*y = -2*f - 94. Calculate the highest common factor of y and 108.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.77 + 0.97. Let k = -57 - -56.6. What is the biggest value in 1\/4, -2, k, a?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204) - sqrt(204)*1)*2)\/((sqrt(12) - 5*sqrt(12) - sqrt(12))*5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22 - 21. Which is the closest to t? (a) -0.3 (b) 1 (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 61071 by -20357.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 1559*t + 4584. Give k(-3).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + w - 1 = -w, 0 = -2*b - 2*w + 22. Let n(c) = 2*c**2 - 7*c - 12. What is the remainder when n(6) is divided by b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in eleven eighths of a centimeter?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 - 5*b**2 - 3*b + 14. Let r be k(5). Is 14\/9 not equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -37 - -62. Suppose k + 25 = 5*k + 5*h, -q = 2*k - 5*h. Suppose k + 8 = 4*f. Solve 3*u = -5*o - 7, 2*o = -3*u + f*u - 3 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, -2, 84 in ascending order.\nAnswer: -2, 4, 5, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.2 and -62.26637.\nAnswer: -62.46637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 19, 5, -4, 0, -110.\nAnswer: -110, -4, 0, 5, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3044 and 419648884?\nAnswer: 3044","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/17 equal to 703?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 405.9694ng in grams?\nAnswer: 0.0000004059694","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 2*c = 2*l - 13, 3*c + 9 = 5*l. Suppose -3*z + a = -8, 0*a = -3*a + l. Suppose -n + 2*n = 5. Solve 6*x - n = -5*d + x, 2*d + 18 = z*x for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-8)\/28)\/((-2)\/(-84)*6). Sort -28, 1, x.\nAnswer: -28, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = -2*p - 12, -5*p = 2*r - 10*p - 11 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-105)\/30*(-3 - -1)*-1. Let l(x) = -x**2 - 6*x + 6. What is l(g)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c**3 + c**2 + c + 2. Let m be i(0). Let b = -7 + 4. Let o be (b\/(-6))\/((-1)\/(-4)). Is m at most as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -655 + 654. What is the fourth smallest value in 1\/5, -2, 7, l?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i + 9, 2*i + 15 = 3*h. Suppose -5*v + h*m = -241, v + 6*m - 4*m = 43. Let c = v - 16. Calculate the remainder when c is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3589 - 3577. Solve 2 = -o + h, 0 = p*o - 10*o + 3*h - 16 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1153, 1877, 3083, 4771, 6941, 9593, 12727?\n\"Answer: 241*g**2 + g + 911","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4\/3? (a) -177 (b) -13 (c) -0.3 (d) -4 (e) -0.7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -151\/2 or 226989?\nAnswer: 226989","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-20)\/(-583880))\/((-1)\/(-2)). Let k = c - 1853831\/175164. Find the common denominator of 59\/10 and k.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 7655*j**3 - 2 + 7 + 7654*j**3 - 107*j**2 - 6.\nAnswer: -j**3 - 107*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 74.2683 - 74. Round q to 2 dps.\nAnswer: 0.27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from nuouoouunuxx.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/273 and -53\/91?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15820 divided by -5.\nAnswer: 3164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, u: 1, n: 4, q: 1, k: 1}. What is prob of picking 1 k and 1 q?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = -3*h + 23, 17*h - 22 = 15*h + 4*s for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 289 by -44.\nAnswer: -289\/44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sum 79642.05 and -63.3002.\nAnswer: 79578.7498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of 25*p**6\/12 - 165*p**5\/4 + 2115*p**4\/8 - 495*p**3 + 405*p**2 + 60*p + 6. Find q, given that n(q) = 0.\nAnswer: 3\/5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-12)\/144)\/((-96)\/9 + 1). Suppose z - f + 4*f = -12, 4*f = -16. Which is smaller: m or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -3*v**2 + 121*v + 108. What are the prime factors of o(36)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 5. Suppose -12*a = 55*a - 67. Suppose 2*k = 4*c + 8, 0*k = 3*k - c - 12. Put -2, a, k, t in decreasing order.\nAnswer: k, a, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 86.1 + 2\nAnswer: 88.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15.41551 milligrams to micrograms.\nAnswer: 15415.51","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(468) + sqrt(468)*-3*5 + sqrt(468) + (sqrt(468) - (-2 + sqrt(468) - sqrt(468))*4))**2.\nAnswer: -1728*sqrt(13) + 67536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -8, 1\/3, 304, -0.5?\nAnswer: 304","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -264 - -1860\/7. What is the common denominator of k and 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 76*q**2 + 8*q**2 + 2.\nAnswer: -68*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 3*a**2 + 80*a - 46. What are the prime factors of q(12)?\nAnswer: 2, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 28*k + 11. Let a(g) = -5*g - 2. Let q(o) = -11*a(o) - 2*j(o). Calculate q(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4001 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -996 (b) 1\/6 (c) 1037\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -22292, -44577, -66862, -89147?\n\"Answer: -22285*x - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2837783887 to the nearest integer?\nAnswer: 53271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2470180 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 7:26 AM?\nAnswer: 1:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 10:42 AM?\nAnswer: 8:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/12*-10 + 3. Let m(f) = -11*f + 25. Let h be m(3). Let z(i) = 2*i**2 + 13*i - 5. Let q be z(h). Do q and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y + 4*y + 10 = 0. Solve t + q = -2, -t - y = -4*q - q for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -677, -2957, -6757, -12077, -18917, -27277, -37157?\nAnswer: -48557","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(-4)*m)\/m)\/m)\/(m**(-1\/2)*m*m)*(m**(-2)*m)\/m*m**(11\/3)*m*m assuming m is positive.\nAnswer: m**(-17\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6160*l**2 - 3064*l.\nAnswer: 12320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 - 2*g**2 + 5*g + 4. Let d be n(-4). Let v be 2\/4*-2 + d. Let o be 12\/v*5\/2. Which is greater: 1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7.1304 - -0.1784. Let q = x - -8.78. Round q to 1 decimal place.\nAnswer: 1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61102 is divided by 494.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 936 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3871 and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 126 + -125. Which is the third biggest value? (a) 2\/5 (b) w (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 300\/59 or 5?\nAnswer: 300\/59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) -22 (c) -0.5 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 11*c**3 - 8*c**2 - 9*c + 2. Let a(v) = 4*v**3 - 3*v**2 - 3*v + 1. Give -8*a(g) + 3*i(g).\nAnswer: g**3 - 3*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 49 and 29?\nAnswer: 1421","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 87*l**2 + 2*l. Let y(o) = -16*o + 5*o + 88*o**2 + 7*o + 5*o. Let j(z) = -4*n(z) + 3*y(z). What is the second derivative of j(b) wrt b?\nAnswer: -168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -89.65 - -91. Let h = -0.35 + u. Which is the second smallest value? (a) -0.3 (b) -4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 69798 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhjbchbhobb. Give prob of sequence cc.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*a + 7*a + 8*a - 30 = -4*h - 11*h + 10*h, 0 = 3*a for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/4 (b) -9 (c) -36 (d) -2 (e) -3\/4 (f) -5 (g) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + -1 + (6 - 2). Suppose 3*v - 5*c - 93000 = 0, -93000 = -5*v + p*v - 4*c. Round v to the nearest one thousand.\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11100100101110100010000 (base 2) to base 14.\nAnswer: dd1560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4 + (-33)\/(-8))*36\/21. Which is bigger: m or 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 7) to base 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 AM and 2:04 PM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 AM and 5:40 AM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 + -11. Which is the nearest to -1\/4? (a) 0.4 (b) l (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*w + 174*w**3 - 14*w - 19*w.\nAnswer: 174*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.3453 * -3\nAnswer: 1.0359","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8 - 4) + 85 + 3. Suppose f*h - 88*h = 16. Suppose -o + 76 = -b, 6*b + 299 = h*o + b. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4818*a**4*j**3 + a**3*j**2 - a**2 + 15*a*j**3 - 101*a*j + j**3 wrt a.\nAnswer: 57816*a**2*j**3 + 6*a*j**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 27\/(-18) + (-55)\/(-2). Let q = n + -23. Calculate the highest common divisor of q and 48.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*o**5 + 24705*o**4 + 14*o - 2602 wrt o.\nAnswer: -60*o**3 + 296460*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, 558, 5, 2, -639 in decreasing order.\nAnswer: 558, 5, 4, 2, -2, -639","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -18821, -3\/2 in ascending order.\nAnswer: -18821, -10, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101101000 (base 2) to base 13.\nAnswer: -219","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one tenth of a kilogram?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6197357 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1122 + 46229*p - 679 - 46227*p to the form b*p + j and give j.\nAnswer: -1801","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -166 - l**3 + 21*l**4 + 34*l**4 + 167 + 4*l**2 in the form r*l + g + b*l**3 + i*l**4 + c*l**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -37771 + 3?\nAnswer: -37768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 32, 52, 86, 134?\n\"Answer: 7*v**2 - v + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of -5851*j**4\/12 - j**3\/6 + j**2 - 5*j. Let v be o(-2). Round v to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.1273551 to three dps.\nAnswer: -0.127","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-80)\/35 + (-4)\/(-14). Let r be y\/(-4)*(-52)\/(-13). Suppose 7016 = -r*l + 10*l. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of t**5\/15 - 83*t**4\/6 + 129*t**2. Let s(y) = 0. What is y?\nAnswer: 0, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 + 4*u**2 + 3*u. Let n be i(-2). Suppose 5*s = 63 - 3. Solve n*r - s = 4*o + 4, -r - o = 1 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 215 + -213. Suppose 0 = 2*w + c*x - 544, w + 2*x + 556 = 3*w. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.7, -3\/2, -8\/3?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 186 and 1398?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3923163.\nAnswer: 3, 435907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32500 = r + 5*p - 3825, 145175 = 4*r - 5*p. Round r to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3\/61 - -43\/366. Let w = 19 + -43. Let u = 22 + w. Which is the fourth biggest value? (a) u (b) 4 (c) m (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 - v**3 - 74*v + 4*v**2 + 71*v - v as m*v**3 + z*v**2 + l*v + x and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3.93392 + -1340638\nAnswer: -1340634.06608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 584056, 584078, 584100, 584122, 584144, 584166?\nAnswer: 584188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000355653 rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 + 25*k - 139. Let h be p(16). Solve 11 = -h*s - 9 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138 + 288 = 213*y. What is the closest to 1\/6 in -4, 9\/13, y?\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 731 a factor of 1267668?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from smbsbsbbmsmsmm. Give prob of sequence mmbm.\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 21 - 20. Sort 0, l, 5, -9 in increasing order.\nAnswer: -9, 0, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -61 - -185\/3. Let j = z + -17\/12. Let w = 2 + -1. Which is the closest to -0.2? (a) 2 (b) w (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12)\/(-16)*(-10)\/20. Which is the smallest value? (a) v (b) 5 (c) -48\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 9*n - 165. Let p be a(19). Let z(c) = -c**3 + 5*c**2. What is z(p)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 18\/(-4)*160\/(-2760) and 316\/(-1 + -3)*(-1)\/(-4)?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -6*y + 34. What is the remainder when 43 is divided by y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.3 - -0.7. Let p = 2461 + -2464. Let o be 4\/(-18) - 533\/234. Put p, o, t in descending order.\nAnswer: t, o, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5.2 - -5. Let v = 11 - 10.99. Let k = 0.31 - v. Which is the smallest value? (a) 0.4 (b) k (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40 a factor of 1040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 384 and 84.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3803.\nAnswer: 3803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/2)\/((-30)\/20). What are the prime factors of 5*(o + 665\/25)?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*l**4 - 925*l**3 + 610*l**2 = 0.\nAnswer: 0, 2\/3, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20 + -20112010012220122?\nAnswer: -20112010012220212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 150 and 36?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-144)\/(-35))\/((-7492)\/9365)?\nAnswer: -36\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - -1564?\nAnswer: 1602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -69 - -74. Suppose g*s = 174 - 44. Calculate the remainder when s is divided by -2 - -1 - 20\/(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 58 or -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 5 - 2*f - 7 as i*f + v and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*(d\/d**(-5\/8)*d)\/d)\/d)\/d**(-3\/8))**(-11\/6)\/((d**(-1))**(5\/4))**13 assuming d is positive.\nAnswer: d**(151\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1950 divided by 650\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6 + -5 + (-2)\/(-1). Suppose -5*r + 67 = -g. Suppose 1 = 5*w - r. Let h(b) = -b**2 + 4*b - 2. What is h(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t + 4. Let o(w) = -w**3 + w - 4. Let k be o(0). Let b be p(k). Let m = b + 9. Calculate the lowest common multiple of 10 and m.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**3 + v**2 - 2*v + 40. Suppose -3*i - 3*j = 3, -i - 3*j = -0*i + 3. Let b be g(i). Let k = b - 35. Is 3 at least k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*p - 47*p = -15. Sort 0, 122, p, 2 in descending order.\nAnswer: 122, 2, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 - 7. Let i be ((-12)\/5)\/((-6)\/20). Let f(q) = i + 0 + q**2 + 3 - q. What is f(u)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (10 - (4 - (-2 + 22 - 9)) - -7)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 14 + (-17145)\/(-165) + (-2)\/(-22). Suppose 0 = b - 4*a - 125, 3*b - 591 = -2*b + 3*a. Is b smaller than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-27 - -13) + (-64 - -4) + -32.\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1*(-20)\/5*5\/20. Let m = -755 - -9806\/13. Are m and j non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -55, -92, -129, -166, -203?\n\"Answer: -37*y - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 121348, 242701, 364054?\n\"Answer: 121353*t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 0. Let g(y) = y**3 - 3*y**2 - 3. List the prime factors of g(q).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1138?\nAnswer: 2, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + -8 + -24 + -7.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 0 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of -2*n**3\/3 + 3*n**2\/2 - 3*n - 24. Calculate c(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the second derivative of 3\/2*p**2 + 2*p + 0*p**3 + 0*p**4 + 0 + 0*p**5 - 1\/30*p**6. What is the first derivative of g(y) wrt y?\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/9 + 34\/6. Suppose -2*f + 5 = 3. Let o = 5 - f. Solve d*v + 3 = o*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 7488, 7483, 7472, 7455, 7432, 7403, 7368?\n\"Answer: -3*z**2 + 4*z + 7487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/3 (b) -0.1 (c) 2\/17847 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 + 4*j - 3. Let r be 41\/13 - 8\/52. Let z be i(r). Solve -2*p - p + 4*b = 11, -5*p + 3*b = z for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -13*m + 4. Let w be p(3). Let r be (468\/w)\/(2\/(-30)). Let h = 201 - r. Which is the nearest to h? (a) 2\/19 (b) 0.2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 - 2)*(-2 + 6 + 0)*(-2*y + 0 + 0) + (5*y - 2*y - y)*(4 + 3 - 5).\nAnswer: 12*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (9\/(-6))\/(4\/(-24)). Let d = -4 + m. Sort 4, d, 1 in ascending order.\nAnswer: 1, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -166*o = -155*o + 22 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 9743, 19487, 29233, 38981, 48731, 58483?\n\"Answer: i**2 + 9741*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v - 27. What is h(-13)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 35 in 2\/9, -4\/11, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23*i - 22*i - 2 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.0192 + -14.1192. Let x = 14.1000067 + m. What is x rounded to seven decimal places?\nAnswer: 0.0000067","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 AM and 5:50 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 - 5*m - 4. Let d = -9 - -15. Let n be y(d). Let g(j) = -16*j + 0*j**n + 8*j**2 + 16*j. Let c(h) = -2*h**2. Determine c(g(f)).\nAnswer: -128*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 119785135 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 45771540 a multiple of 2157?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -38 - -49. Does 3 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kr when two letters picked without replacement from {r: 11, i: 1, k: 1, w: 1, l: 2}.\nAnswer: 11\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6\/8)\/((-69)\/(-276)). Let t(j) be the first derivative of -3\/10*j**4 - 8 + 0*j**b + 3\/5*j - 3\/25*j**5 + 3\/5*j**2. Find z such that t(z) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 103 + -98. Let j be (-4 + 3)\/((-30)\/z). What is the closest to 0 in 9, 1\/8, j?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 239519?\nAnswer: 7, 34217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -27*d**2. Let t(l) = l**2. Let i(b) = -4*c(b) - 60*t(b). Let y be i(-1). Let j = -46 + y. Solve -2*m - j*m = 12 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -2*a - 1. Let x be y(-1). What is the units digit of (x - (1 - 1))\/(14\/2226)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -18719 - -18719. Put 5, x, -193 in decreasing order.\nAnswer: 5, x, -193","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of 2*v**3\/3 - 1717. Let x(a) = -1 + 57*a - 1 - a + 30*a. Give x(s(z)).\nAnswer: 172*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 23*l + 149 = 0, -7413*l + 7417*l + 43 = -5*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 + 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 20320, 80964, 182038, 323542, 505476, 727840, 990634?\n\"Answer: 20215*b**2 - b + 106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -33 + 39 - (-2 - (-141)\/18). Find o, given that z*o**3 + 1\/6*o**2 + 0*o + 0 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*p**2 + 88 + 2*p**3 + 65*p + 56*p - 88 - 4*p**4 - 125*p to the form w + n*p**3 + m*p + k*p**2 + d*p**4 and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1074 or -1.483?\nAnswer: -1074","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 165*n + 3*n + 76*n - 2*n to r + l*n and give l.\nAnswer: 242","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/(g\/(g**(2\/3)\/g)))**47\/((((g**(1\/3)*g)\/g)\/g*g)\/(g\/(g*g\/g**(-2\/11)))) assuming g is positive.\nAnswer: g**(328\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 13 (b) -4 (c) 0.04 (d) 0.1 (e) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + -1*sqrt(931)*4 + -4*sqrt(931)*2 + (sqrt(931) + 0)*2)*-6*-1)**2.\nAnswer: 25200*sqrt(19) + 3352500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3190 and 219396020?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2\/165 + -17\/110. Let x = -7448\/17 + 438. What is the second biggest value in 0, u, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1968 and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -108*(-5 + 255\/(-6)). Suppose 12*o + m = 18*o. What is the tens digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35b7 (base 12) in base 10?\nAnswer: -6043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -35 - (-55 + 24 - 14)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 104746\/11 or 9522?\nAnswer: 9522","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -140*u**2 + 151*u.\nAnswer: -280","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i - 1 = -w, 2*w + w + 10*i + 30 = -32 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-6)*(-15)\/(-1). Let q = 8 - i. Calculate the remainder when (19\/(-3))\/(3\/(-18)) is divided by q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s + 5, -10 + 9 = -3*n - s. Suppose -z + n*p - 3*p + 10 = 0, 2*p = -4*z + 30. Solve z = -3*c + 8*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.3 - -4. Let s = -0.17 - 0.53. Let v = s - -2.7. What is the smallest value in v, d, 0.2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4\/(-18) + 16\/(-9). Let x be 1\/(y\/(-9))*12\/(-225). Let t = -32\/75 + x. Which is the nearest to -1? (a) -3 (b) t (c) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 4*a = 4 + 24, 35 = 5*n - 5*a. Suppose -11*i + 24 = -n*i. Suppose -8*k = -5*k - 45. Calculate the remainder when k is divided by i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttnt when four letters picked without replacement from mnmttmm?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 33420.00002894 - 33420. Round c to five decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -16514 and -16513 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 9*q**3 - 29*q**2 + 6*q - 17. Let k(v) = 3*v**3 - 10*v**2 + 2*v - 6. Let d(t) = 6*i(t) - 17*k(t). Let c be d(2). Is (-9*c)\/(-2) + -1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16284221 is divided by 75?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -1.074?\nAnswer: 1.074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 PM and 11:13 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*v**2 - 18*v - 10*v**2 - 8*v**2.\nAnswer: v**2 - 18*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to -1899504\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143 is divided by 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -15*u + 3. Let m(j) = 14*j + 2. Give 2*m(i) + t(i).\nAnswer: 13*i + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of -a**6\/120 + 7*a**5\/15 - a**4\/8 - 35*a**3\/2 - 103*a**2. What is the hundreds digit of p(26)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(3)*2)**2 - sqrt(3)) + -5 + sqrt(3) + 0 + ((sqrt(18)*1)\/sqrt(6) - sqrt(108)*-5).\nAnswer: 7 + 31*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -528 + 0 - (18 + -21). Let u be (a\/(-10))\/7 + (-3)\/2. Solve h = -2*h - u for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*h**3 + 4395*h**2 - 4395*h**2.\nAnswer: 50*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, b: 1, e: 1, i: 1, v: 1}. What is prob of picking 1 v, 1 t, and 1 e?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 8796, -263 in ascending order.\nAnswer: -263, -3, 8796","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 + 25*b + 33. Let y be x(-24). Let f = y - 2. Factor -6*d + 4*d**4 + 4*d**5 + 5*d - 20*d**2 - f*d - 12*d**3.\nAnswer: 4*d*(d - 2)*(d + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of -a**4\/16 + 8*a**3\/3 - 69*a**2\/2 + 180*a - 524. Suppose z(w) = 0. Calculate w.\nAnswer: 6, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1003 - -1021. Solve -5*p - u = b + 10, -2*u = -p + 1 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 5*c + 6*o - 2*o, 4 = -2*c - 2*o for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 6*v + 266*v**2 - 8*v - 2*v - 264*v**2. Let w(a) = -a + 10*a - a**2 + a**2 - 3*a**2. Determine -9*n(h) - 4*w(h).\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -321, -319, -317?\n\"Answer: 2*r - 323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a meter in millimeters?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 - 124*a**2 + 244*a + 12. Let n be h(122). Solve 3*f - n + 4 = l, -4*f = -4*l - 16 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fourty-two fifths of a week?\nAnswer: 84672","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 468416931?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2856*m**5 + 4*m**2 - 1129.\nAnswer: 171360*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 + c**2 + 6*c + 1. Let f(u) = 3*u**3 + 5*u**2 - 9*u - 5. Let l(a) = -f(a) - 2*q(a). Determine l(-2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 4*l + 8 + 106 = 4*d - 202, -4*l - 136 = 176 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 205\/246 + (-6)\/4. Which is the third smallest value? (a) -4\/7 (b) 0.41 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -234.86 - -235.26. Let o = 33\/164 + 2\/41. Let z = -3.04 + 0.04. What is the closest to o in g, -0.3, z?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 8\/1533 and -85\/147.\nAnswer: 10731","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -35 + 45. Calculate the remainder when -2*(b\/20 - 21\/2) is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -54609 rounded to the nearest 100?\nAnswer: -54600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/42)\/((-2)\/4).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -49 + (-6 - (-129 - -26))?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**3 - 14*k**2 + 32*k - 1482. Calculate q(17).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of -f**6\/120 - f**5\/20 + 3*f**4\/4 - f**3 + f**2 - 35278. Suppose 0 = 5*z - 3 + 33. Give q(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 129 + -290. Calculate the common denominator of ((-24)\/(-34))\/(r\/28 - -5) and 18.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116153?\nAnswer: 41, 2833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49509 is divided by 157?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**3 + 0*x**2 + 0*x**2)*(-x - 61 + 61)*(19*x + 481 - 481).\nAnswer: -38*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 2. Suppose 4*i = -5*v + 23 + 7, v - 4*i - 30 = 0. Suppose g = 3*g - v. Solve g*f + s*l - 4 = 0, 4*f = -4*l + 3*l + 5 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 + 21*m - 28. Suppose -2*w - 46 = -0*p - p, 4*w = -5*p - 92. Let j be z(w). Solve 2*a + j = 22 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 + -70?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 14 + 16. Let m = 32 + -23. Let b = m - -3. What is the highest common factor of b and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 + -3 + -6 + 0 + 2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*z - l - 28, 0 = -3*z + l - 2324001 + 2324011 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1446, -1448, -1450, -1452?\nAnswer: -1454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of -g**5\/120 + g**4\/12 - g**3\/3 + 9*g**2. Find u such that v(u) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -l**5 + 2658*l**2 - 5*l - 2658*l**2 + (-2*l**4 - 5*l**4 + 5*l**4)*(-4 + 4 + l) - 3 + 3 + l**5.\nAnswer: -2*l**5 - 5*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2079\/132*(32\/6)\/(6\/9). Solve 30 = 131*h - c*h for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k - 0 - 22. Suppose 3 - k = -2*d. Let r = d - -2. Solve -5*a + r = 21 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of 2*c**3\/15 - 19*c**2\/5 + 176*c\/5 + 23. Suppose k(u) = 0. What is u?\nAnswer: 8, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -277*a - 399*a - 4 - 135*a + 544*a in the form b + f*a and give b.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 67*p + 416 - 1287. Calculate the remainder when 688 is divided by p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of q**2\/2 + 13*q + 17. Let u(l) = l**3 + 16*l**2 + 8. Let b be u(-16). What is the tens digit of k(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3657, -8145, -12635, -17127, -21621, -26117?\nAnswer: -30615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*c + 2*c. Solve p + c = 8 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110 - 10100111110000111111?\nAnswer: -10100111110001000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/9024 and 95\/366036.\nAnswer: 5856576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -7, -1 in descending order.\nAnswer: 0, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 1918781.\nAnswer: 767512.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.2 (b) -0.9 (c) 43 (d) 2 (e) -3 (f) 4.2 (g) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 2*k**2 + 11*k + 9. List the prime factors of h(-9).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n + 121 = 3*n - i, -3*n = i + 73. Calculate the common denominator of 5*10\/n - 0\/(-9) and 47\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -12 + 5 - (-12 - -2). Let b(g) = -6*g**3 + 2*g**2 + 2*g + 4. Let q(v) = -6*v**3 + 3*v**2 + 2*v + 5. Give w*b(x) - 2*q(x).\nAnswer: -6*x**3 + 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -85 + 88. What is the second derivative of -230*p**x - p - 6*p + 246*p**3 wrt p?\nAnswer: 96*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20481024?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -46 (base 9) to base 8.\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 - -125702992125195\nAnswer: 125702992125195.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1237216*s**4 + 2*s**3 - 2*s**2 + 243*s + 983?\nAnswer: -29693184*s + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10211131 (base 4) in base 7?\nAnswer: 105520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 3*h**2 - 41*h - 153. Let f be a(-3). Is -202.9 equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/(-14) + -1 + -2 and -47\/32?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 380669.022 to the nearest one thousand.\nAnswer: 381000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -27\/10, -0.4, 2?\nAnswer: -27\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3*-1 - (-3)\/3. Let j = 3 - m. Suppose -5*k - j*c = 438 - 2008, -k = 5*c - 330. What is k rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/1*((-147)\/196)\/(2\/(-8)).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 114*t + 121. Let a(x) = -111*x - 120. Let o(y) = -6*a(y) - 5*k(y). What is the tens digit of o(16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 220 - 515. Let h = q - -530. Does 47 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 304, 668, 1106, 1654, 2348, 3224, 4318?\n\"Answer: 6*u**3 + u**2 + 319*u - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-55) - 12\/(-308)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 242*k = 245*k + 4482. What is the tens digit of (-2)\/(-7) - k\/63?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 55335?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02333 to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 + 5*k - 2. Let n(g) = -6*g**3 - 5*g**2 - 3*g. Let p be n(-3). Suppose 5*s + 625 = -5*x, 0 = 122*s - 123*s - 4*x - 113. Let z = s + p. Give u(z).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 0 (b) -0.2 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -9 + -1 + 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s + 21*s = 0. Solve s*v + 3*v = 12 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*j + 4*j + 6*j)*(6150 + 6130 + 6102 - 18303 + 87*j).\nAnswer: 435*j**2 + 395*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 480 is divided by 252.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.8 + 10.2. Let r = x - 12.4. What is the closest to 6 in -5, r, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -275004, -550007, -825010, -1100013, -1375016?\n\"Answer: -275003*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 5*b = 16, 0 = -4*l - b + 72 - 18. Suppose 0 = l*s + 3*s - 55200. What is s rounded to the nearest one hundred?\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 615, 635, 675, 741, 839, 975, 1155?\n\"Answer: l**3 + 4*l**2 + l + 609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d. Let t be j(1). Which is smaller: -4 or t?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 14 - 42. Let w = r + 11. Suppose k + 14 = 3*x - k, 3*x = -w*k - 10. Solve x*m = 1 + 7 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 64 - 30. Solve -p = o - 33 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -25843 and -1219 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 9 + -5 + 4 + (-9)\/3. Let n(g) = -2*g**3 + 3*g**2 + 8*g + 41. Let b(k) = -k**3 + 2*k**2 + 5*k + 27. Give d*n(z) - 8*b(z).\nAnswer: -2*z**3 - z**2 - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 104 = -128*y + 136*y. Solve -i - 2*i = 4*h - y, -3*h = -2*i + 3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.8, -0.2, -9, 15, 2\/9, 1\/6 in decreasing order.\nAnswer: 15, 1.8, 2\/9, 1\/6, -0.2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9.6 + 4798.\nAnswer: 4788.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 10}. What is prob of picking 4 c?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -582661200 divided by -528?\nAnswer: 1103525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -33. Find the common denominator of -85\/8 and (-1 - 0) + a*2\/164.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*(-3)\/63 + 7\/(-21)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of j**3\/6 + 6*j**2 - 2*j. Let l be y(-10). Solve 3*h**5 - h**l - 5*h**2 - 2*h**3 + 0*h**4 - h + 5*h**4 + 1 = 0.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 + 2*f + 4981. Determine o(-70).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(((-6)\/2)\/(-3)). Let j be (v + -13)\/((-3)\/(-4)). Is 6\/8 + (-45)\/j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5, 3, 32, -2\/7, 10\/29?\nAnswer: 10\/29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(4*3\/264). Let n = -42 + g. What is the common denominator of 77\/n + 21\/28 and 19\/18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwy when three letters picked without replacement from wwywywyywywyyw.\nAnswer: 7\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/12336 and -125\/240936.\nAnswer: 123841104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**2 - p - 3. What is h(4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1713769 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 + (-4)\/(-12))\/(4\/(-6)). Let c(z) = z**3 + 2*z. Let p = 34 + -32. Suppose 1 + 1 = -p*o. Let t(j) = -j**3 + j**2 - j. What is o*c(d) + x*t(d)?\nAnswer: d**3 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7131642 is divided by 3211?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*i + 47*i + 2*x + 18 = 0, 38 = -10*i + 3*x. Let g(k) = k**3 + 5*k**2 - k - 31. Give g(i).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 3*d**2. Let f(l) = l - 1. Let i(t) = -60 - 24*t + 46*t + 62*t. Let y(w) = -60*f(w) + i(w). Determine y(n(z)).\nAnswer: 72*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1043 to two decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 27*q**5 - 8*q**2 + 4*q**5 + 6*q**5 + 53*q**5 - 34*q**4 - 48*q**3 = 0.\nAnswer: -2\/5, -2\/9, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by -2201\nAnswer: -4\/2201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 438.779 + 4\nAnswer: 442.779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, 7, -0.5, 21397.\nAnswer: -0.5, -0.1, 7, 21397","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 135 = 315. What are the prime factors of x?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 10. Let x = 6 - p. Let q = 19 + -12. What is the remainder when x is divided by q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -100 by -5.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 33. Calculate the common denominator of (-49)\/30 - 2 - (-14)\/u and 73\/9.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -491*z**2. Let l(d) = 52659*d. Determine l(i(q)).\nAnswer: -25855569*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((48\/580)\/4)\/(176\/20 + -9).\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, 23, 0.7 in descending order.\nAnswer: 23, 1, 0.7, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 3, 13\/2, -3, 91?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36280 and 15?\nAnswer: 108840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4965 = -5*u - 4*m, 2*u + 0*u - 1986 = -m. Suppose -4*d = -5*q + 13, 6*d - 27 = -3*q + 2*d. Suppose -4*b = -q*b + u. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 353 + -352.5. What is the closest to -1\/5 in 2, -4\/5, k?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17264 is divided by 5493.\nAnswer: 785","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 50 and 265720.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/(-2))\/((-3)\/6*2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1962? (a) -1 (b) -1\/9 (c) 1.5 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 6 + 1. Let j be (-4)\/14 + 23\/u. What is the third derivative of 2*l**j + 0*l**2 - l**2 + 2*l**2 - 4*l**3 wrt l?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1290 + 1382. What is the remainder when z is divided by 40?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z - 3*z + 4*z)*(5*z + 11*z - 12*z)*(-4*z**2 - z**2 + 11*z**2)*(2*z + 2 - 3*z + 0*z).\nAnswer: 24*z**5 - 48*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6884220 and 20076?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -60391 * -0.3\nAnswer: 18117.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(7) + (sqrt(7) + sqrt(49)\/(-4*sqrt(7)) - sqrt(7))))**2 + 4.\nAnswer: 583\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/(-1)*(-88)\/55. Solve 0 = 4*f - 20, 3*w + 2*f + l = 7*f for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/15? (a) -3\/5 (b) -2\/13 (c) 1 (d) -3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*o**2 + 3*o**2 - o + 17*o**2 - 2*o + 10*o**2.\nAnswer: 16*o**2 - 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/(-77) + (-2977)\/143 + 21.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**(-2\/7))**43)**(10\/7) assuming o is positive.\nAnswer: o**(2150\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5986, 24040, 54130, 96256, 150418, 216616?\nAnswer: 294850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a century in years?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3327 + 3112. Which is smaller: -209 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*a + 7*a - 8. Put -14, a, 2, 5 in ascending order.\nAnswer: -14, a, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/47588 and 39\/42876788.\nAnswer: 42876788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 175653683 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 56529 (base 10) to base 9.\nAnswer: 85480","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 2*y - 4*v, -y + 4*v + 0*v + 12 = 0. What is the highest common factor of y and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -84.832 take away 10798.0955?\nAnswer: -10882.9275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 663772387?\nAnswer: 23, 29, 337, 2953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-1)\/2)\/((6 + -3)\/(-6)). Let w be (4\/4 - -4) + a + -1. Calculate the lowest common multiple of 22 and w*((-48)\/64 - 46\/(-40)).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 17*c**2 + 3*c + 1. Calculate the remainder when 55 is divided by b(1).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/2952 and 155\/1968.\nAnswer: 5904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -505*l = -17263 + 598. Let z(a) = 201*a**3 - 33. Let b(d) = -25*d**3 + 4. Calculate l*b(j) + 4*z(j).\nAnswer: -21*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 46*x**2. Let q(h) = 2 + 5*h - 9*h + 3. Let u(c) = 2*c - 2. Let i(y) = 2*q(y) + 5*u(y). Determine z(i(n)).\nAnswer: 184*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 247009*u + 14. Let h be k(-2). Let t be 3\/15 - h\/(-20). What is t rounded to the nearest one thousand?\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - 1 = -6 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 150.\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 = 5*p - 23. Let b be (p\/(-20))\/(3\/204). Solve d + 4*v = -11 + b, 12 = -d + 3*v for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*a**2\/7 - 73398*a\/7 - 31464.\nAnswer: 6*(a - 12236)*(a + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -1289.97 to the nearest one hundred.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = c**3 - 2*c**2 - 3*c + 3. Let a be d(3). Suppose -27 = -n + 5*m + 11, -a*n - m + 114 = 0. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -41 + 52. Suppose 2*a + 4*s - 14 = 0, 0 = 2*a + s + 4*s - 12. What is the greatest common factor of a and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seven quarters of a microgram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, -132, -545, -1352, -2685?\nAnswer: -4676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*r = -29*r - 9*r + 300. Let d = 4 - 2. Suppose 3*f + 2*y = 14, d*f + 9 = r*y - 3. Solve 3*h = -f*h + 10 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-46)\/(-5) + (-4)\/20. Let a(y) = y**3 - 7*y**2 - 12*y - 10. Let r be a(h). Let c = 88 - r. Does 11 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -69, -41, 11, 93, 211, 371, 579?\nAnswer: 841","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3.41898 from 4.\nAnswer: 7.41898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 2*t = -0*t - 16, 3*t = -3*q + 48. Find the common denominator of 115\/24 and q\/44 - 5420\/3168.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/11, 2\/9, -5\/3, -3\/4, 51, 50504?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/(-3) + (-19)\/57. Let c(z) = -z**3 - z**2 - 3*z + 1. Let m(t) = -2*t**3 - 2*t**2 - 7*t + 3. Let l(b) = -15*c(b) + 6*m(b). Give l(r).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96\/192*(-9)\/(-6)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 12 = 21. Suppose 0*r + 3*r - 24 = 0. Suppose 0 = g - u - r. Solve -g + 3 = 4*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(931)*2 - (sqrt(931)*1 + sqrt(931) + 2)) + -3)**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5499.41*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.05 (b) -4\/5 (c) -1\/4 (d) -425\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, j: 6, q: 2, k: 1, f: 4, u: 1}. What is prob of sequence fu?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x**4\/5 - 58*x**3\/5 + 44*x**2\/5 + 336*x\/5 = 0. What is x?\nAnswer: -2, 0, 3, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 77875740 a multiple of 3580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 f, and 2 g when four letters picked without replacement from {w: 1, n: 1, g: 1, f: 1, t: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13978?\nAnswer: 2, 29, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -24196, -48428, -72680, -96952, -121244, -145556?\n\"Answer: -10*d**2 - 24202*d + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/g**(-3\/5))\/(g*(g\/g**1)\/g))\/(g**(3\/4)*g**(-1\/3)))\/((g**(-5)\/g**(5\/4))\/(g\/(g**(-5)\/g)*g**(-3)*g*g)) assuming g is positive.\nAnswer: g**(403\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16683799*o**2 + 8435800*o**2 - 13815710*o**2.\nAnswer: -22063709*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8119835?\nAnswer: 5, 37, 43891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 364 and 252?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 484 + -288. Suppose -t - 4*t = -3*i + 157, -4*i + 4*t + o = 0. What is the remainder when 120 is divided by i?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 3*o**3 - 4*o**2 - 2*o + 2. Suppose k + 12 = 5*k. Suppose -f + 17 = 2*b, 1 = -2*b + 3*f + 38. What is the remainder when l(k) is divided by b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8687, -13510, -18333, -23156, -27979?\nAnswer: -32802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x\/(x*x**10\/x)*x*x**(-2\/5))**46)**19 assuming x is positive.\nAnswer: x**(-32338\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in five eighths of a milligram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2342, 9698, 21990, 39224, 61406, 88542, 120638?\nAnswer: 157700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 67*r - 15. Let p be c(5). Suppose -23*n - p = -18*n. Let o = n - -69. What are the prime factors of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2\/(-4))\/(658\/84 + -8). Is 3 bigger than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 27*v - 88. Determine u(-4).\nAnswer: -196","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - 0.0878.\nAnswer: -16.0878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3\/5, 1\/4, 0, 1\/2 in decreasing order.\nAnswer: 3\/5, 1\/2, 1\/4, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyififiifyffy. What is prob of picking 3 y and 1 i?\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -17*q**2. Let d(w) = 30891*w**2. Calculate d(v(o)).\nAnswer: 8927499*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90 = -17*i + 2*i for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*j**2 + j**2 + 5*j**2 - j**2 in the form i*j + s + b*j**2 and give b.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 46\/5 of a tonne?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -16 (b) 2.6 (c) -2\/23 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, 0, -6, -3 in decreasing order.\nAnswer: 0, -3, -6, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -13201 (base 7) in base 6?\nAnswer: -24201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of -m**5\/20 + 5*m**4\/12 + m**3\/6 - 3*m**2\/2 + 2*m. Let j be (10 - (-2)\/(-1))\/(-2). Let d be j\/18 - (-282)\/54. What is h(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11306 is divided by 263.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 120562\/9 or 13396?\nAnswer: 120562\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -124 - 115 - 127 + 495 + 13*c**2 - 129.\nAnswer: 13*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5114 - 1689 - 1729 - 20*v - 1696 + 5*v.\nAnswer: -15*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2374?\nAnswer: 2, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 5*g**2 - 84*g - 4. What is i(16)?\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-26*1)*(28130\/(-145))\/970.\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9 + 22\/(-44)*(0 + -14). Solve 0 = 2*o - 3*n + u, -4*o + 3*o = -n + 7 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -33 - -112?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence suy when three letters picked without replacement from {e: 1, s: 2, y: 4, u: 2}?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35977847 is divided by 15501.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 2, d: 1}. What is prob of picking 2 j?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 5696248 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -7399700.9 to the nearest ten thousand.\nAnswer: -7400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 4*o = -0*g + 3, -2*g - 4*o + 30 = 0. Differentiate -2 - 2 + g*i - 12*i with respect to i.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -7622*d + 61005. Give v(8).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 11963850?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from umgmbbmmsm. What is prob of picking 3 m?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9\/9*(12\/(-4))\/12?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*b + 202571*b**3 - 202579*b**3 - 16*b**2 - 1 - 2 to t*b**2 + f*b + p + a*b**3 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (-7 - -18 - 3 - 5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 670\/6 - 20*3\/36 and 50?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:00 PM and 10:05 PM?\nAnswer: 605","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 + -9 - -8) + 117\/(-27)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 237384 divided by 237384\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 502 is divided by 36?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**2 + 17*m - 43. Suppose 0 = -226*y + 231*y - 65. Let q be l(y). Solve 3*o + 5 = 3*c - 4, c = -3*o - q for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 408421, 408427, 408443, 408475, 408529?\n\"Answer: h**3 - h**2 + 2*h + 408419","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 3056*m**2. Let x(d) = -2897 + 5*d + 5813 - 2916. What is y(x(p))?\nAnswer: 76400*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (-20 - 23 + 16)*(-o**2 - 2*o**2 + o**2) in the form r + f*o**2 + t*o and give f.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 326203 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -35\/18 or -1?\nAnswer: -35\/18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 4*j**2 + 4*j - 8. Let r(k) = -15*k**2 - 15*k + 31. What is 6*r(q) + 22*t(q)?\nAnswer: -2*q**2 - 2*q + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2377 divided by 5.\nAnswer: -2377\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -235 (base 7) in base 6?\nAnswer: -324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26758256?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.964 to 1 decimal place.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000001614 to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 240*y**2 - 108*y**2 + 145*y**2 + (2*y + y - 2*y)*(3 - 2*y - 3) + y**2 + 0*y**2 + 0*y**2.\nAnswer: 276*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*v - 2*v + v + 2*v.\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 1*sqrt(38)\/(5*-1*sqrt(2)).\nAnswer: -sqrt(19)\/5 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -8*n - 3*x + 4425, 0 = -n + 5*x + 1457. Calculate the highest common factor of n and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(539) + sqrt(539) + (-3 + sqrt(11) + 1 + sqrt(11))**2.\nAnswer: 6*sqrt(11) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -326 - 4a89?\nAnswer: -50b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 - 1160*k + 20547. Give d(18).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 5 - (-3700)\/(-550)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2023\/22 - 92. Suppose -f = 2*f - 3. Which is smaller: f or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 442*q - 5301. Let c be b(12). Let p(o) be the second derivative of 0 + 10*o**2 + 13\/20*o**5 + 0*o**c + 0*o**4 + 16*o. Differentiate p(m) wrt m.\nAnswer: 39*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) be the third derivative of n**5\/60 + 7*n**4\/24 - 13*n**3\/6 + 5*n**2. Determine p(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 12\/7, 5, 2, 2.69, 0.57?\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12403?\nAnswer: 79, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 23424? (a) -2\/7 (b) 2 (c) 191\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -9937 not equal to -1063142\/107?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 35723 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.21 to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 988888*m**3 - 3*m**2 - 3*m - 6. Let u be i(-3). What is u rounded to the nearest one million?\nAnswer: -27000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 21*g**3 - 177*g**2 + g - 27548?\nAnswer: 63*g**2 - 354*g + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 180 + -184 + (-17 - 4)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5)\/(-6)*8*1242\/45. Suppose 12*t - c = -124. Sort -2, t, 14, -1.\nAnswer: -2, -1, t, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + 445a7888?\nAnswer: 445a7890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1290 divided by 258?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5146.\nAnswer: 2, 31, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -526.4063 to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k\/(k\/(k\/(k\/(k*((k**14\/k*k)\/k*k)\/k))))*k)*k*k**(-10\/9) assuming k is positive.\nAnswer: k**(-127\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 8.1*-33559\nAnswer: -271827.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138 = -17*l + 223 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1263611 and 6161.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1786960372?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39) - (sqrt(117)*1)\/sqrt(3))\/sqrt(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(180)*-4 + -1 + sqrt(180)*-2*5 - (sqrt(180) + -6*sqrt(180)*1 - (sqrt(180) + (5 + sqrt(180)*-3 - sqrt(180)))))**2.\nAnswer: -576*sqrt(5) + 25936","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21202 is divided by 110?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2090422196 to the nearest integer?\nAnswer: 1279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 66.544128 minutes?\nAnswer: 0.0066016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 13*k. Which is the fourth smallest value? (a) -0.1 (b) -1 (c) k (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -416649*i**2 - 2378289*i?\nAnswer: -833298","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -68*(-7)\/1428*6*-20 - -6\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -25*u - 40. What is h(-2)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 41 - 45. Let o be 3750\/t*(-12800)\/(-30). Round o to the nearest 100000.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 29158213 to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32 + -38. Let a(r) = -53*r**4 + 83*r**3 - 18*r**2 - 12*r. Let w(j) = -27*j**4 + 42*j**3 - 9*j**2 - 6*j. Let d(h) = o*a(h) + 11*w(h). Factor d(y).\nAnswer: 3*y*(y - 1)**2*(7*y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3497359 by -21.\nAnswer: 3497359\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of s**3*u - 2*s**3 - 21*s**2 - 4*s - 6*u wrt s?\nAnswer: 6*s*u - 12*s - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1d1 - 3?\nAnswer: -1d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32\/3 + -11. Let l = 7.19 + 8.47. Let t = -1.66 + l. Which is the nearest to z? (a) -1\/9 (b) -1 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*u + 1400 = -11*u. Is 25 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27.52371 rounded to two dps?\nAnswer: 27.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*sqrt(684)*2*-4.\nAnswer: 288*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((0 + sqrt(288) - sqrt(288)) + -1 - (sqrt(4608) - (sqrt(4608) + 0 + -2))) + 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1531, 3062, 4591, 6118?\nAnswer: 7643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 288 and 3.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -4, -0.5, 0.4 in ascending order.\nAnswer: -4, -0.5, 0.4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 65\/(-15) - (-2)\/(-3). Sort -28, 4, x in decreasing order.\nAnswer: 4, x, -28","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of -93*t**4\/4 + 159*t - 159. What is the first derivative of z(f) wrt f?\nAnswer: -279*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 21*y**2 + 4*y + 5. Let w be n(9). Suppose -4*b = w - 5446. Let h = b + -9139\/10. What is the common denominator of -11\/8 and h?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 l when two letters picked without replacement from {m: 2, k: 9, l: 1, v: 6}?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 21*t. Let j(l) be the second derivative of -l**4\/4 - 22*l. Calculate g(j(a)).\nAnswer: -63*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-793)\/183 - (2\/(-3))\/2)*-2. Solve -22 = -5*s + y, -4*y = -8*y - d for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 - 6. Suppose h*s - 65 = -0*s. What is the highest common factor of s and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10351814534 - 72*l + 10351814534.\nAnswer: -72*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4710923731?\nAnswer: 37, 127322263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15*162*(-142)\/(-9585).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50679 is divided by 207.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 43234.508 times -0.5\nAnswer: -21617.254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -434512 by -208.\nAnswer: 2089","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 + 20*b**2 - 188*b + 7. Let p be i(7). Solve 4*r - 14 = 2*t, 3*t + 4*r = 5 + p for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19556067 is divided by 49509?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the third derivative of y**5\/60 + y**4\/12 + y**3\/2 + 2*y**2. Let m = -11 + 7. Let f be (-4 - -3)*(-1 - m). Calculate t(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -4*c + 6, 12 - 30 = -5*c - 4*u. Suppose -h + c = r - 0, r + 2*h = -1. Let w(m) = 0*m + 2*m - 6 - m. Give w(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 3*t = -8, 0 = -4*v - 0*v + 2*t + 28. Let n be 0\/(v\/(1 + 4)). Suppose -4*m + a = 5*a, -a + 12 = 5*m. Solve -m*q = 9 - n for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -687\/7, 0, 57\/7, 2, 2\/9 in decreasing order.\nAnswer: 57\/7, 2, 0.3, 2\/9, 0, -687\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 281 is divided by 97?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 7:33 AM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 2 + 6*m**2 - 10 + 1 + m**3 - 1 - 5*m. Let d be v(-6). Calculate the greatest common divisor of 33 and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 1:47 AM?\nAnswer: 12:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c. Let t = 20 - 14. Let m(r) = t - 2 + 6 - 2 - 14*r. Let h(n) = -10*a(n) - m(n). What is the derivative of h(q) wrt q?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 4444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t and 1 h when three letters picked without replacement from tmhttttmttttttmtmhmt.\nAnswer: 13\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1, 44 in ascending order.\nAnswer: 1, 5, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 21005011?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 PM and 7:28 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n**2 + 2*n**2 + 7*n**2 - 21*n**3 + 0*n**2 - 7*n**2 + (-n + n - 2*n)*(46*n**2 - 404 + 404).\nAnswer: -113*n**3 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - -25?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 9 = 4*g, 20 = 3*l - 10*g + 15*g for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 519664?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17970029 to the nearest integer?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -1 - (-4 + 6)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -41, -45, -63, -101, -165, -261, -395, -573?\nAnswer: -801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*4*((-2 + sqrt(1584) + 1 - sqrt(1584)) + sqrt(1584))*-4)**2*1*-5.\nAnswer: -73036800 + 1105920*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 85, 243, 523, 991, 1713, 2755?\nAnswer: 4183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4381.91353 rounded to one dp?\nAnswer: -4381.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 9403172?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n, 1 p, and 2 a when four letters picked without replacement from ppnnppaaxpmopppa?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -139 + 94. Let u = 50 + f. Solve -5*s + 0*s + 4*s**3 + 7*s**2 + 4 + 17*s + u*s**2 = 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k*k*k\/k**(1\/9)*k*k)\/k*k**(-5))\/((k*k\/k**(-9))\/k**(-5\/6)))**18)**8 assuming k is positive.\nAnswer: k**(-1864)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b**1*b*b*b*b*b*b\/b**(-2\/15)*(b**(-1\/2))**(3\/26) assuming b is positive.\nAnswer: b**(6299\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 73*i**2. Let q(f) = 14227*f. Give o(q(s)).\nAnswer: 14775749617*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1444, -2144, -2844?\nAnswer: -3544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (1 - 2 - -6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 1 = 2*x + 13, -4*x - j - 14 = 0. Sort x, -3, 0, -122 in decreasing order.\nAnswer: 0, -3, x, -122","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 5)*((-2 + 2 - q**2)*(2*q + q - 2*q - 6) - 108*q**3 - 147*q**2 + 147*q**2).\nAnswer: -109*q**3 + 6*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -200323 (base 4) in base 5?\nAnswer: -31412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1865 + 3228. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 162370 to the nearest 1000.\nAnswer: 162000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 208*r + 252. Determine w(-1).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5 - 4)\/(4 + 115\/(-29)). Put -2, 3, k, 2 in descending order.\nAnswer: k, 3, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3082 < -3014?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/4 + 10\/(-28). Which is smaller: -2 or u?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 2*f**2 + 5*f. Let m(h) = 4*h + 1. Let d be m(-2). Let x be 78\/21 - 2\/d. Let b(j) = 5*j + 2*j + 2*j + 4*j**2. Determine x*b(g) - 7*n(g).\nAnswer: 2*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121200 - -1021212101?\nAnswer: 1021020201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 12 - 120\/12?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -8, -6?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqdqqqdddqqdqq. Give prob of sequence qd.\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15 + 39. Let z = -22 + q. Solve -3*v - z = 1 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -219*d**2 - 17*d + 172. Let u(l) = 175*l**2 + 16*l - 173. Give 4*s(j) + 5*u(j).\nAnswer: -j**2 + 12*j - 177","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3762259 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 43.1708 - -0.8292. Which is smaller: -0.063 or k?\nAnswer: -0.063","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - -1 - -1)\/(-2). Suppose 5 = -q - t*q. What is the units digit of q*(-1 - (-1)\/(-5))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = 2*o, 2 = s + 5*o. Let u = 11 - 6. Suppose 12 = -u*n + n. Put -2, n, s in descending order.\nAnswer: s, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 49691 and 395.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand j - 336*j**5 - 111*j**3 - 4 - 329*j**5 + 664*j**5 - 62*j**5 - 13*j**5 - 8*j**5 + (3*j + 2*j**3 - 3*j)*(-5*j + 5*j + j**2).\nAnswer: -82*j**5 - 111*j**3 + j - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*2*sqrt(17) - (sqrt(17) + 1 + sqrt(17) + -5)**2.\nAnswer: -84 + 28*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -84? (a) -2 (b) 1\/2 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - -133c58?\nAnswer: 133c55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 3 (b) 3\/8 (c) -1.5 (d) 0 (e) 64\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1800669 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 89*j - 166*j + 74*j + 2*j**3 + 13 + 15*j**4 to the form k*j**3 + s*j**4 + m + p*j**2 + h*j and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vxvv when four letters picked without replacement from vxvvxxvv?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 518.878 days in milliseconds?\nAnswer: 44831059200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d*(d**(-2\/3)\/d)\/d)\/d)**3\/(d\/(d*d**2)*d*d*d**3\/d*d))**(5\/6) assuming d is positive.\nAnswer: d**(-55\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -1107854?\nAnswer: -1\/1107854","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -159*q - 1572. Let n be j(-10). Solve 0 = 3*k + 4*l - 8, l = -n*k + 16*k - 3 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o - 21 + 0*o + 20 + 5 + o**2.\nAnswer: o**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = z + 3*c - 18, -4*z = 3*c - 24. Does 6 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 103058080 and 1920.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1372721?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 6455?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(208) + -1)*-4)**2 + 2 - ((-4 + (2*sqrt(208) - sqrt(208)) + sqrt(208) - (sqrt(208) + 1 + 5)) + -2).\nAnswer: 252*sqrt(13) + 13342","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 42*n + 14. Let w be d(7). What is the greatest common factor of w and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4713271194 to the power of 1\/2, to the nearest integer?\nAnswer: 68653","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 - 6. Suppose 7*z - j*z + 16 = 2*r, -10 = 4*z + r. Is z at least -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0*d**3 + 3 - 2*d**3)*(251 - 103 - 1261) + (3*d + 0 + 0)*(3*d**2 + 2*d**2 - 7*d**2).\nAnswer: 2220*d**3 - 1113","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 - 25. Which is the third biggest value? (a) -2\/3 (b) r (c) -1\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-3)*(-12)\/8. Let d be (-5)\/(-2) - 1\/2. Let x be 10\/(-15) + d\/(-6). Sort 0, x, v.\nAnswer: x, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 3*z + 186 = 0, 7*z - 9*z + 196 = 4*x. What is the remainder when 73 is divided by x?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t - 3. What is z(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-96)\/7)\/6*((-7)\/1)\/((-21802)\/991)?\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -152 (base 9) in base 4?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 0 - (-5 - -2 - (-5 + 7))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 0*r = -16. Let x(f) = f**2 - 9*f - 4. Let o be x(r). What is the units digit of o\/5*(-30)\/9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d*d\/d**5*d))**(5\/22) assuming d is positive.\nAnswer: d**(5\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 + 8. Suppose -17*r = -t*r + 12. Suppose -r*d = 3*d - 4823. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63.17678kg to nanograms.\nAnswer: 63176780000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2583 - 4031. Let w be (-6)\/27 + s\/(-36). Suppose -4*m = -16 - w. What are the prime factors of m?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2878 - -2901 - (2 + -8 - -2)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16347 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2243?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1239335 centuries in millennia?\nAnswer: 0.01239335","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 9*p = -4*p - 2681, 3*p = 3*y - 3990. Suppose -2 = l, -4*t = 2*l - y - 547. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 7:09 AM?\nAnswer: 5:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-29)\/3)\/(2\/(-1)). Sort -2, c, 0.3 in ascending order.\nAnswer: -2, 0.3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0 + -41*1 - (0 + -1). Let w = 119 + m. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 = -g + 3*k, 0 + 8 = -4*k. Let i = -5 + g. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25338746, -50677503, -76016260?\nAnswer: -101355017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express v**2 + 0*v + 0*v + 38*v**2 as w*v**2 + p*v + r and give w.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 3*y - 10646 = y, 0 = 5*y + 15. Does 8 divide 30\/75 + 2 + o\/(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 510 and 125.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.006299306 to six dps.\nAnswer: -0.006299","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -4*b**2 + 1. Let r be g(1). Suppose -y - j = -19, 473*y - 474*y - 4*j = 2. Put -2, 0, y, r in descending order.\nAnswer: y, 0, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xb when two letters picked without replacement from {h: 2, x: 1, b: 1, v: 8, p: 7}?\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 + 10 + (-3 - -4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 4033 - 3\nAnswer: 4030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x. Let h(a) = 17072*a. What is u(h(i))?\nAnswer: 17072*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 34859869 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 392 = -3*w. Suppose 7 + w = -7*q. Which is bigger: -9 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31 - -32. Suppose -v = -y - u, -y + 2 = -u - 7. Solve 7*r - 3*r - 5*z = -5, -3*r + 4*z - y = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -3*g + 352, 3*t + 252 = -6*g + 8*g. What is the lowest common multiple of g and 6?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*l + 17*l - 16*l.\nAnswer: -16*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 0 + sqrt(612) + sqrt(612) - sqrt(612) - sqrt(612))**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-11))\/c*c\/((c*c**(5\/4))\/c) assuming c is positive.\nAnswer: c**(-45\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31 - -92\/3. Is -22 > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000042921 to seven dps.\nAnswer: -0.0000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41890 is divided by 537.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 3*d**2 - 52722*d + 231634107 = 0?\nAnswer: 8787","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.431 - 0.001. Let w = -1.3514 + u. What is w rounded to 2 decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13)\/(468\/(-8)) - ((-2)\/3 - 4300\/(-4770)).\nAnswer: -2\/159","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 (base 12) in base 7?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-22) + 4095\/77 + -8. Calculate the greatest common divisor of 153 and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 47 + 27 + -59 - (-2 + (1 - 2)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20948 - -36153. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 16*w**2 - 2*w + 4. Let j be a(4). Suppose -2*l + 866 = -2*g, 4*g - 1026 = -3*l + j. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Work out 6979.1 * 0.054.\nAnswer: 376.8714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 151\/252 + -1\/36. Let z = 30\/11 - 188\/77. Let 2\/7*i**2 + z - w*i = 0. Calculate i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from wswwowswwowwwwo.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39348*m = 2*a - 39346*m + 14, -4*m = -2*a + 16 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-7)\/t*(t\/(((t**(-10)\/t)\/t)\/t))\/t*t assuming t is positive.\nAnswer: t**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19104?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1362520 and 460?\nAnswer: 1362520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -256*m + 122*m + 135*m. Let f(w) = -w - 7*w**2 + 47*w**2 + w. Determine f(p(x)).\nAnswer: 40*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**2 + 4*j + 4. Let o be g(4). Suppose -2 = y - o. Suppose 4*x = y*x + 20. Calculate the remainder when x is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2167.420901 to the nearest 100.\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 + 2)*(1821*s - 3 + 3714*s - 2372*s) in the form y + q*s and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 4*n**2 + 12*n + 4055. List the prime factors of s(0).\nAnswer: 5, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (40\/16)\/((-1)\/2). Let s = 5 - -23. Let u = 26 - s. Put 3, m, u in decreasing order.\nAnswer: 3, u, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 0 = -12. Let -4*b + 6*b**3 + 2*b**3 + 2*b**2 - 2*b**4 - w*b**5 + 0*b + 2*b**3 = 0. Calculate b.\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 169 a multiple of 67?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 97733 - 97733 - r**2.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 38 - -35. What are the prime factors of w?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26, 15, -4, -31, -66, -109?\nAnswer: -160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, -10\/573 in decreasing order.\nAnswer: 2, -10\/573, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 16*w**3 - 57*w**2 + 9*w + 9. Let x(t) = 4*t**3 - 14*t**2 + 2*t + 2. Let d(p) = 2*l(p) - 9*x(p). Solve d(z) = 0 for z.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3168 a multiple of 144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 404 and 44?\nAnswer: 4444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -200, -4, 1 in descending order.\nAnswer: 5, 1, -4, -200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange o**3 - 3*o - 2*o + o**2 + 2*o + o to the form f*o**3 + u*o**2 + k + c*o and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 34, 1\/2, -3, -2.72, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 157 (c) 630\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/5)\/(-14*69\/460)?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.61 * 0.2.\nAnswer: -0.122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 3*m + 60. Determine d(-23).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 77992512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 29\/2 of a meter?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/3 + 42*7\/70 and (-5)\/((-15)\/(-2)) - 182\/(-35).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jgn when three letters picked without replacement from {n: 11, j: 1, k: 2, g: 1}.\nAnswer: 11\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of 43.9 and -552349862.\nAnswer: -552349818.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.9 < -1\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 918425.\nAnswer: 5, 17, 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*(d*d**(1\/2)\/d)\/d*d**(2\/11)\/d*d)\/(d**(-1\/2)\/(d\/((d**(-3\/8)\/d*d)\/d)))*((d**1*d)\/d)**(3\/19)\/(d**(-6)\/(d**(1\/2)*d)) assuming d is positive.\nAnswer: d**(18751\/1672)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -310*p**3 + 1093*p + 311*p**3 + 954*p**2 - 4344*p wrt p.\nAnswer: 6*p + 1908","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, q: 1, s: 4, c: 3, f: 2, i: 2}. Give prob of picking 1 s and 1 c.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-5 + 8) - 7 - -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-139128)*62*-34.\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 - (5\/4 - 0). Let v be 32\/112 - 106\/224. Let g = v - -41\/48. What is the nearest to 0.1 in q, g, 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16505 and 35335?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -626512732*b*u - b - 1574500 wrt u.\nAnswer: -626512732*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -2 and 257542978841797.\nAnswer: 257542978841795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.35 and 60360867223.\nAnswer: 60360867224.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w**5\/2 + 297*w**4\/2 - 2271*w**3\/2 - 4245*w**2\/2 + 27450*w - 39750 = 0.\nAnswer: -106, -5, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 2*i**2 - 5*i - 5. Let w(z) = -z**2 + 3*z + 3. Let q(a) = 11*a**2 - 1. Let y be q(-1). Calculate y*w(b) + 6*u(b).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 338420 = -0*c + 4*f, 3*f + 451260 = 4*c. Let p = c + -52812. What is p rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4227 - -14?\nAnswer: -4213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 3 y when four letters picked without replacement from {c: 3, y: 8}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 53 - 57.4. Let k = m - -17.4. Let r = 20 - k. Is -5 at least as big as r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -207645 = -31*t + 655612. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 4:54 PM?\nAnswer: 4:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 102\/4699 + -658736\/1339215. Let b = f - -4\/57. Let c = 0.2 + 0.3. What is the closest to -1\/2 in c, b, -0.2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 4*f - 0*f. Let z(r) = -r**2 + 7*r + 2. Let n be z(f). Suppose 0 = -n*d + 14 + 6. Solve -g - d = g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -96, -111, -124, -135, -144?\n\"Answer: u**2 - 18*u - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 + 7*j + 2. Let f be x(-7). Suppose -l = f*l - 6. Let y = 18 - l. Calculate the smallest common multiple of 20 and y.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*t - 2*t + 5*t)*(-12 - 9 + 2) + (-t + 3*t + t)*(-1 + 0 + 0) to w*t + y and give w.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.6*-0.001\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 3 + 1011*y**2 - 1972*y**2 - 2 + 986*y**2.\nAnswer: 25*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -4*j**4 + 7*j**2 + 3*j. Let d(o) = -o**2. Let z be -5*(-2 + 35\/25). Let y(c) = z*p(c) + 21*d(c). What is the second derivative of y(h) wrt h?\nAnswer: -144*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 75 + -78. Calculate the common denominator of (-1 + 17)\/((-138)\/j) and 73\/4.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(7))*-6 - (sqrt(252)*-2 - sqrt(7)))**2.\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -176692 (base 10) to base 6.\nAnswer: -3442004","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h**2 + 2*h - 1. Let q(d) = 14*d**3 - 53*d**2 + 6*d - 3. Determine q(f) - 3*v(f).\nAnswer: 14*f**3 - 47*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 531988577*k**2 + 575*k - 163770.\nAnswer: 1063977154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssdvhstsvdsszsh. What is prob of picking 4 v?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/12*(-11)\/(33\/(-6)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the third derivative of -b**5\/60 - b**4\/6 + b**3\/3 + 2*b**2. List the prime factors of j(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.3*70\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -2*y**2. Let s(z) = 2*z**2. Let h(l) = 4*f(l) + 5*s(l). Let i be (45\/20)\/(2\/8). Let q(o) = -20*o + 9*o + i*o. What is q(h(v))?\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -3*j**3 + 333*j**2 + j - 109. Let v be l(111). Let b be (2 + -1)\/(-1) + 22. What is the common denominator of (v + b\/(-15))*119\/(-105) and 38\/15?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -38596946*l*x**3 - 25*l - 839*x + 258 wrt x.\nAnswer: -231581676*l*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -31 - -218\/7. Let t = 30.665 + -30.765. Which is the nearest to 2\/7? (a) t (b) f (c) -4 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/((s*s**(3\/2))\/s))**(-9)\/(s**(-23)\/(s**(-6\/7)*s)) assuming s is positive.\nAnswer: s**(387\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-7)\/(35\/6))\/((-18)\/43800). Let t = n + 909. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -49.9 + 49.899999755. Round c to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1\/7, -5\/14, 1, 15612?\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -20544 or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -1108*q**3 + 4*q**2 + 4. Let i(d) = 180606*d**3 - 651*d**2 - 651. Calculate 4*i(p) + 651*u(p).\nAnswer: 1116*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (44\/24)\/(-11) - 7\/(-6). Let m be 89 + -3 + -7 + r*4. Is 85 > m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 97 + -81. What is the greatest common factor of 944 and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = -5*y + 25, -4*p + 0*y - 2*y + 20 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, -3, 10271?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 104\/26*255\/2. Is 17 a factor of (i\/(-1 - -6))\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 5*n - 32, -n - 5*f + 5 = -7. Calculate the remainder when 20 is divided by n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-f + 5*f - 3*f)*(7*f**3 + 62 - 62) + 4 - 3*f**4 - 4 to m + t*f**2 + s*f**4 + y*f + d*f**3 and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*i + 2 - 2)*(-19*i**2 + 36*i**2 + 22*i**2)*(-15 + 15 + 8*i) as z*i + g*i**3 + n*i**2 + w*i**4 + s and give w.\nAnswer: 936","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 20622.5 (b) 1 (c) -8 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -16.3351986 to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 23*h + 421. What is the remainder when ((-22)\/8)\/(2\/(-152)) is divided by z(-16)?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4\/9 + -1\/18. Let z be 2\/18*2\/1. Let l = -18.47 - -18.87. Sort j, z, l in descending order.\nAnswer: l, z, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**4 - i**5 - i**4 + i**4 = 0. What is i?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 24*m + 7. Let j be a(4). Suppose 4*z + 35 - j = 0. Let k = z - 14. Sort 13, k, 2\/5 in descending order.\nAnswer: 13, k, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/(-4) + (-3)\/6. Let a(q) = q**2 + 20*q - 20. Let h be a(-21). Is c at most h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes before 1:48 AM?\nAnswer: 1:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.84405449 rounded to 1 dp?\nAnswer: 14.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -255*p + 583. Determine a(2).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 391 is divided by 22?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) be the second derivative of 1\/2*j**4 + 0 - 3*j + 0*j**2 + 1\/20*j**5 - 7\/6*j**3. Let a be z(-7). Solve 0 = 4*f - 2*x - 2, -5*x - 7 + 2 = a for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s + 5*n = 91, 2*s - 2*s + 4*n = -4 for s.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(18) + -1 + (0 + 0 + sqrt(162) - sqrt(162)).\nAnswer: 3*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 145 = -5*q, 0 = 5*u - 3*q - 60 - 287. Suppose -u = -6*t - t. Find the third derivative of 14 - 2 + 23*x**2 - t*x**6 - 12 wrt x.\nAnswer: -1200*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 5, 1, -3, -7, -11, -15?\n\"Answer: -4*r + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 981 is divided by 80.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3172 + 9715\/3. Suppose -4*q = q + 325. Let p = o + q. Which is the nearest to 1? (a) -2 (b) p (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 15162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + (27 - 8) + -15.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 15) in base 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 2. Suppose 4*c + 4*a - 4 = h, a - 5 = 4*c - 14. Suppose 0 = 4*l - 2*l - c, -2*l = -2*b + 28. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 814*j - 2239 = 4834 - 1375 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do 15 and 6231\/418 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -2*f**2\/9 + 75704*f\/9 - 716386952\/9 = 0.\nAnswer: 18926","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 - i + 142. Let u(v) = 4*v**2 + 24*v - 425. Let a(n) = 7*k(n) + 2*u(n). Give a(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) -6 (b) 1 (c) 1\/11 (d) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 69252*t**4 - 43*t**2 + 85929933*t wrt t?\nAnswer: 831024*t**2 - 86","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -118.5 - -119. Let d = -860 - -861. What is the biggest value in d, 71\/2, l?\nAnswer: 71\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4 - 180\/(-44))*59 + -5. Put -3, a, -5 in decreasing order.\nAnswer: a, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -6*a + 16. Suppose 97 = 2*b + a*s - 51, -5*s = b - 89. Does 10 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of -n**7\/28 + n**6\/10 + 21*n**5\/40 - n**4 - 3*n**3 + 6*n + 4. Determine k so that g(k) = 0.\nAnswer: -2, -1, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)\/sqrt(3))\/sqrt(5) + (-5 + sqrt(27))**2.\nAnswer: -29*sqrt(3) + 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6186689 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 309, -149, 80, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 4*i - 60, 4*i + 503*y = 500*y + 28. Suppose 0*j + 2*j = 14. What is the third derivative of -14*d**3 - 17 + 28*d**2 + i + j wrt d?\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -46 - -66. Calculate the smallest common multiple of (8 - -1) + 0 - 3 and h.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -5 - t + 1 - 2. Let k be g(-8). Do k and 2\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.0381 and 256669.\nAnswer: 256669.0381","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 g when three letters picked without replacement from {v: 3, g: 3, a: 7}?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*6*sqrt(208)*1)**2 + (4*sqrt(156)*-1 + sqrt(156))\/(sqrt(768) + (sqrt(768) - (sqrt(768) + -3*sqrt(768))) - sqrt(768)))*6.\nAnswer: -3*sqrt(13)\/4 + 44928","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3668 + 4154.2. Let w = l + -486. Which is the closest to w? (a) 0.4 (b) -0.4 (c) 2 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1266*a**5 + a**4 + a**3 - 256*a + 8 wrt a.\nAnswer: 25320*a**3 + 12*a**2 + 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -28 and -51981405775.\nAnswer: -51981405803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-74)\/12*2)\/(7\/(-27111)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 22 + 21 + g**2 + 8*g - 47. Calculate k(-9).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -102 - -2?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/5)\/((2376\/(-45))\/12). What is the nearest to 0.08 in -3, 4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12421.201 rounded to the nearest one thousand?\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/(-15)*-3)\/1. Let f = 117 + -168. Let r = 55 + f. What is the closest to -0.1 in r, v, -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + (-7)\/((-140)\/400).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 - 92*i - 350. Calculate h(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are -50961\/68 and -748 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15.77 + -0.23. Let d = b + 8. Let u(h) = -59*h + 353. Let n be u(6). What is the smallest value in d, n, -3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5 or -190467?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4236570 divided by 11934?\nAnswer: -355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of u**6 - 110962*u**4 + 470908*u**2?\nAnswer: 120*u**3 - 2663088*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 361958849 to the nearest integer?\nAnswer: 713","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g + 4*i + 124, -5*g + 3*i + 459 = -246. Suppose 41*n + g = 472. Let f(j) = j**2 - 5*j + 5. What is f(n)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 134500 rounded to the nearest ten thousand?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 s when three letters picked without replacement from hhshhsh?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 2730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -3 - 9. Suppose 5*n = -5*b, -5*n + b + 30 = v. What is the units digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -6. Let t(w) = 16*w - 245. Let r(m) = -t(m) - 5*v(m). List the prime factors of r(-13).\nAnswer: 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d - 5. Let b = -28 - -20. Let w = b - -1. Let u be x(w). Solve -u*q - 5*h + 10 = -q, -q - 3*h + 8 = 0 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**32\/((g*g\/(g*g**(-1\/7)))\/g) assuming g is positive.\nAnswer: g**(223\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -45, -74, -113, -168, -245, -350, -489, -668?\n\"Answer: -s**3 + s**2 - 25*s - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12010 is divided by 156.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1231725 by 14.\nAnswer: 1231725\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6885 + 6822 + 24*v**2 + 207*v**2 with respect to v.\nAnswer: 462*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**3 - 5120*d**2 - 296932*d + 614376.\nAnswer: -4*(d - 2)*(d + 63)*(d + 1219)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j - 1066 + 0*j - 1092 + 2168.\nAnswer: -2*j + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23022023 - -4414?\nAnswer: 23031442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -9237, -18456, -27663, -36852, -46017?\n\"Answer: i**3 - 9226*i - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1244 is divided by 29.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 2*k + 6 = 0. Let r = k - -11. Is r a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 29 and 134821?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 plus 5906?\nAnswer: 5906.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -0.33, -2, 3\/5, -2\/7?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2529 and 1515.\nAnswer: 3831435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -44 + 48. Suppose d*l - 12 = a, 0*l - 2*a = -3*l + 4. Suppose -h - q = l - 6, q + 7 = 2*h. Solve -z + h*f = -3*z + 7, z - 1 = -4*f for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x = 4*x + 11840. Suppose 4*s = 6*s - x. Suppose s = 5*k - 2*f - 71, -502 = -2*k + 2*f. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c, 7*o - 4*c - 800 = 2*o. Suppose 5*f + 0*f = o. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -21 - -12 - -7 - 25.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 40234211 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1539262 to the power of 1\/3, to the nearest integer?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/111612 and -139\/12?\nAnswer: 111612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -i**3 + 71*i**2 + 2916*i + 449. Determine r(-29).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31014.\nAnswer: 2, 3, 1723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -80, -0.1, 3\/8, -2\/9, 0.3, 236?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*a - 3*a - a + (3 + a - 3)*(1 + 3 - 2) + 4*a - 6 + 6 + (-3 + 0 + 5)*(-2*a - 2*a + 6*a) + 0*a + a + 5*a.\nAnswer: 18*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-9)*d)\/((d**(1\/7)*d)\/d)*(d*(d*d\/d**(1\/16)*d)\/d*d*d)\/d*d\/d**(4\/13) assuming d is positive.\nAnswer: d**(-5115\/1456)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the first derivative of -f**6\/6 + 406*f**5\/5 - 40793*f**4\/4 - 86092*f**3\/3 + 146472*f**2 - 166464*f + 8430. Suppose z(l) = 0. What is l?\nAnswer: -4, 1, 204","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*i - 36*i = -7*i + 27*i + 2268 for i.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 PM and 2:56 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1040 and 84175?\nAnswer: 1346800","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16853491 and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 + 5*t**2 + 7*t. Let f be k(5). What is the highest common divisor of f and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a, 1 l, and 1 d when three letters picked without replacement from udzla.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -21 - (6 + -17 + (-22 - -56) + -21)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5384332 to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -14\/4355 or -1?\nAnswer: -14\/4355","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - (1 + -8) - (-19 + 61) - 0?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -69 by 33.\nAnswer: -23\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.032 + -0.718. Let j = w + 0.25. What is the third smallest value in j, 4\/7, -0.9?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 36 = 32. Suppose -11 = -4*o - 0*z - 3*z, 0 = b*o + z - 9. Solve 2*v + 3*d - 8 = 0, -o*v = 3*v + 4*d - 6 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 16\/96440047 + -1529153566432\/1092183532275. Let i be (-4)\/3*159\/150. Let v = y - i. Which is greater: v or -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22532 less than 3.17?\nAnswer: 22535.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:32 PM and 7:56 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -10956, -43186, -96900, -172098, -268780, -386946?\n\"Answer: -10742*q**2 - 4*q - 210","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6297 + -4380. What is the smallest common multiple of 27 and k?\nAnswer: 1917","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/11895 and -109\/47580.\nAnswer: 47580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 33280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 109280137864 take away -38?\nAnswer: 109280137902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 10\/40 + 25*6\/8. Solve -4*p - 3*u = 7, z = -4*p + u - 0*u for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i + 441 = 129. Suppose i = 17*o - 46. Find g, given that -1\/3*g**o + 0 - 5\/3*g**2 + 1\/3*g**4 + g**3 + 2\/3*g = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 40866?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 116204 and 152?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*j - 10 + 10)*(1 - 1 - 2*j)*(-4*j + j + 2*j).\nAnswer: 12*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 33.9 - 25. Round o to the nearest integer.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4180 and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-20)\/200*(-15)\/39)\/((-2)\/8). Let c = -20\/13 - -128\/117. Suppose -d - d = 0. What is the closest to d in c, w, 2\/7?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/7, -5, 2, -1\/2769?\nAnswer: -1\/2769","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 76169838137 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 20 + -7c?\nAnswer: -5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lelejjleljlellelllj. What is prob of picking 2 l?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(37\/((-59015)\/110))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 58325741533 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 + 4*i + 5. Let m be p(-4). Solve 0*u + 15 = -m*u + 4*h, 0 = 4*h for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 2*l**3 - 8*l**2 - 5*l - 9. Let c be y(5). Suppose -c = -4*w, 10*f - 8*f + 3*w = 8. What is the tens digit of ((-2736)\/32)\/(1\/f)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**2 + u + 18. Let y be g(0). Suppose -4*l - 5*n + 313 = -2*l, 10 = 2*n. Calculate the greatest common divisor of l and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -76, -655, -2230, -5299, -10360, -17911?\n\"Answer: -83*o**3 + 2*o + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 36392.53727 to the nearest integer.\nAnswer: 36393","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 345, 128, -199, -606, -1063, -1540, -2007?\n\"Answer: 5*s**3 - 85*s**2 + 3*s + 422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p. Let h(t) = -539*t**2 - 42*t - 94. What is h(x(j))?\nAnswer: -2156*j**2 - 84*j - 94","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 11*c + 50 + 5*c + 2*c**2 + 7*c = 0. What is c?\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the second derivative of p**5\/40 - p**4\/24 - 5*p**3\/6 + 3*p. Let n(f) be the second derivative of d(f). Differentiate n(a) with respect to a.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86.34075 millimeters to micrometers.\nAnswer: 86340.75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34*20414.\nAnswer: -694076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of 23\/12*h**4 - 3\/2*h**2 + 0*h**3 - 58*h + 0. Find the first derivative of k(s) wrt s.\nAnswer: 46*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -31 or -3975011?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 + 38*w - 2. Let f(z) = z**2 + 2*z - 1. Let h(j) = 6*f(j) - i(j). Let y(b) = -8*b**2 + 25*b + 5. Let n(d) = -5*h(d) - 4*y(d). Factor n(m).\nAnswer: -3*m*(m - 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 63992?\nAnswer: 2, 19, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -110b1 (base 12) in base 6?\nAnswer: -252341","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -k**3 - 2*k**3 + 4*k**3 + (3*k - 5*k + k)*(-4*k + 4*k - 2*k**2) + 2*k**3 - 17*k**3 + 0*k**3 as n + h*k + z*k**2 + p*k**3 and give p.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 31327438 to the nearest integer?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*a - 53*c + 51*c + 24, -4*c = 10*a - 66 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1226178\/7 - 3132\/7*y - 2\/7*y**2.\nAnswer: -2*(y + 783)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12209290 to the power of 1\/3, to the nearest integer?\nAnswer: 230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 38167273 and 13115.\nAnswer: 2623","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -q - 2 - 15, 12 = 3*f - q. Suppose -3*y = 2*u - 1287, -6*u + 5*u + 626 = f*y. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -p**2 - 3*p + 4*p**3 + 4*p**2 - 6*p**2 in the form r + a*p**2 + q*p + f*p**3 and give q.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 8157*y**5\/2 + 4812633*y**4 + 9575241*y**3\/2 - 28847790*y**2 - 21222*y = 0.\nAnswer: -1179, -3, -2\/2719, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -270*w - 7. Let j(n) = -135*n - 3. Let k(y) = -7*j(y) + 3*v(y). Let t(u) be the second derivative of u**3\/6 - 2*u + 279. Calculate k(t(o)).\nAnswer: 135*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -44, -1, -139, 133 in ascending order.\nAnswer: -139, -44, -1, 133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-y - 2*y + 2*y)*(29 + 33 + 40)*((1 - 3 + 3)*(-4 - 2 + 4) + 0 - 2 + 0 + 0 - 3 + 1) to w*y + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 971194?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 14573559 to the power of 1\/4, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -140402.\nAnswer: 1\/70201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 257600521 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 - 1347 = -308*x + 220. Sort -1.2, x, 2, -3.\nAnswer: -3, -1.2, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1990?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 42 - 26. Suppose 0 = -8*v + 3*v. Suppose v = j - 5*j + t. Calculate the remainder when 7 is divided by j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -5 - -2965?\nAnswer: 2960","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7753.3 - 7753. What is the second smallest value in 0, z, -864?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33849009 divided by 81.\nAnswer: 417889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-five quarters of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x - 5. Let g be a(-5). Suppose -5*i + 2*r + 239 = 0, -10 = -g*r + 5*r. What is the tens digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3738995975 to the nearest integer?\nAnswer: 1552","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 39.6 + -39.599999503. What is c rounded to 7 decimal places?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 4, 13, 28, 49, 76, 109?\n\"Answer: 3*n**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 99 - 98.999924. Round b to five dps.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293331 to the power of 1\/4, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*p = -3*z + 724 - 719, 5*p = 2*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.241095 days to hours.\nAnswer: 149.78628","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - (-4 - -2)) + 1 - 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -8*f + 534 - 268 + 10*f - 266. Let x(p) = 2*p - 2623. Give l(x(a)).\nAnswer: 4*a - 5246","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 132 + -53. Let p = r + -64. What is the remainder when -15*(48\/p - 4) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 50 and 530?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 12*c - 19*c + 12*c. Let g(m) be the third derivative of m**6\/720 + m**4\/2 - 7*m**2. Let k(v) be the second derivative of g(v). Give a(k(l)).\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d. Let c(q) = q**3 - 8*q**2 - 10*q + 4. Let g be c(9). Let u(v) = 5*v**2 - 5*v. Let j(y) = 5*y**2 - 4*y. Let f(w) = g*j(w) + 4*u(w). Give f(o(l)).\nAnswer: -5*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-22)\/33)\/((8\/6)\/4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 + -12. Calculate the smallest common multiple of 3\/(2 + 1) - n and 1 - 0 - 1 - -22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -8249059*y + 8248992*y + 5628 for y.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 9, l: 4, w: 2, h: 1}. Give prob of sequence ww.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1037 - 363 + 1802)*(-j**2 - j + j)*(-2*j**2 + 0*j**2 + 17*j**2) to a*j + w*j**4 + p*j**3 + y*j**2 + r and give w.\nAnswer: -37140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 + 7*c - 9. Let z be j(5). Let i be (-1)\/(-5) + (5 - (-112)\/40). Calculate the greatest common factor of z and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v**3 - 9*v**2 - 6*v + 19. Calculate the remainder when s(10) is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hooh when four letters picked without replacement from ohohooo?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d**3 - 6*d**2 - 5*d + 10. Determine x(7).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4\/3? (a) 5 (b) -2 (c) -3 (d) -1 (e) -15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25854 is divided by 3632?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -27917 (base 10) to base 2\nAnswer: -110110100001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1238 take away 0.3?\nAnswer: -0.1762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -2*l - 5, 3*l - 2*j + 2 = -j. Let k be (-1 + -12)*1 - l. Let t be (k\/15)\/((-1)\/5). Calculate the highest common factor of 28 and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -128645.2 to the nearest ten thousand.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 50886 and 2684.\nAnswer: 6208092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1361 times 5?\nAnswer: -6805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001011 + -1010111101?\nAnswer: -1100001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1564360.\nAnswer: 2, 5, 7, 37, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -3*v + 1 + v + 15 + 4*v**2 - 5*v**2 - 2*v. Determine c(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 16*b - 19. Calculate l(6).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7755 - -7836. What is the remainder when 942 is divided by u?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 15 + 3 = 3*f, -2*f + h = 3 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 26305, 52516, 78727, 104938?\n\"Answer: 26211*j + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4 + 6)\/(-1)*-38. Suppose s = 3*f + 22. What is the remainder when 70 is divided by f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1779458.07 rounded to the nearest one thousand?\nAnswer: 1779000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/1 + 0 + 8. Let o(h) = h**3 - 8*h**2 + 8*h - 3. Let f be o(a). Let i(y) = f*y**2 + 0 + 0. Let b(u) = u**2. Calculate i(b(p)).\nAnswer: 4*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(5*(sqrt(95) - sqrt(95)*1) - 4*(sqrt(95)*-1 - sqrt(95))))\/(-1*(sqrt(1440) + sqrt(1440)*1 + sqrt(1440))\/sqrt(8)).\nAnswer: 16*sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Express -202 - 22*b**4 + 30*b**4 + 398 - 210 + 12*b in the form y*b**3 + v*b**2 + f*b**4 + c + d*b and give d.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(-1) + (36 - 2). Let q = 53 - 37. Calculate the least common multiple of 2\/(-8) + s\/8 and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24 - 1 - (46 + -8)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -74661 - -149323\/2. Find z such that 5\/2*z**3 + 0 + 4*z**2 + 2*z + r*z**4 = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from qqqgqgqggggqggggggg?\nAnswer: 715\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 4*b + 25 = -j, 4*j - b = 42. Suppose 5*y = 6*y - 3*h - 48, 0 = y - h - 44. Calculate the remainder when y is divided by j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 907 = 445. Suppose 315 + 167 = -2*t. Let x = y + t. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 733*q - 732*q, -2*h - 3*q = -2 - 8 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 131.74 - 133. Let w = 5.08 + o. Let s = w + 0.18. What is the third smallest value in -1\/7, s, -0.4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68.494 - -40027.\nAnswer: 40095.494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 3*m - 4*m + 14, -4*s + 5*m - 13 = 0. Suppose 22 = -s*z + 550. Calculate the greatest common divisor of 16 and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27.971501 + 0.024299. Let a = -0.061 + 28.061. Let s = z - a. What is s rounded to four decimal places?\nAnswer: -0.0042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*p + 4*p = 0. Let u(l) be the third derivative of 0 + p*l**4 + 0*l + 2\/945*l**7 - 6*l**2 + 1\/270*l**6 + 0*l**5 + 0*l**3. Factor u(a).\nAnswer: 4*a**3*(a + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -33*t - 22*t + 100*t - 29*t - 400 + 400. Let l(s) = 4*s + 2. Let o(u) = -16*u - 9. Let m(w) = 9*l(w) + 2*o(w). Calculate m(n(f)).\nAnswer: 64*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 18*m**3*v**4 + 16*m**3*v**2 - 96*m**3 - 40*m*v**4 - 2*v**3 wrt v.\nAnswer: 432*m**3*v - 960*m*v - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of 10997*a**4\/12 + 9*a**3\/2 + 80*a**2 + 4672*a. What is the second derivative of c(j) wrt j?\nAnswer: 21994","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 493*t**2 - 2*t + 726. Let g(q) = -489*q**2 + 3*q - 727. Let h(s) = 2*g(s) + 3*r(s). Differentiate h(w) wrt w.\nAnswer: 1002*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-2 + (sqrt(320) + 1*sqrt(320) + -3 - (sqrt(320) - (sqrt(320) - -2*sqrt(320)*-1)))))**2.\nAnswer: 625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 38120209 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10 is divided by 9.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2256056, 4511886, 6767716?\nAnswer: 9023546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**5\/8 + u**4\/8 + u**3\/4 - u**2\/4 - u\/8 + 1\/8.\nAnswer: -(u - 1)**3*(u + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -12146037 - 7?\nAnswer: -12146044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 4*s**3 - 6*s**2 + 5*s + 7. Is n(3) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 41426.87um to millimeters.\nAnswer: 41.42687","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -657 (b) 2 (c) -0.042 (d) -0.006 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -442*d - 76075 + 27921 - 58536 = -2712*d for d.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ugnuugungyuy. Give prob of picking 3 g and 1 n.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 88334 and 98995.\nAnswer: 5741710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20669.\nAnswer: 11, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*s = 39*s - 132. What is the highest common factor of s and 2928?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to -2\/954555?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1968 divided by 984\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1384737 + -2684737. What is h rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3010 times 0.1\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1731, 2792, 3845, 4890, 5927?\nAnswer: 6956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 20*i - 11 = -21*i, -i = -3*t + 1. Let h be -564 - (0 - 4) - t. Round h to the nearest ten.\nAnswer: -560","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 + 95\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -37551*n + 563275. Determine f(15).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -308 or -306?\nAnswer: -308","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*w**4 - 22023*w**2 - 303029*w wrt w.\nAnswer: -108*w**2 - 44046","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3525 and 1975.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -895, -32, 7\/5, -2?\nAnswer: -895","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 317208 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -15\/2, 13, 0.2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of -9*x**2\/2 - 165. Let c(m) = 8*m - 1. Give 2*a(i) + 3*c(i).\nAnswer: 6*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001540608 to four dps.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 1 + 0*d - 3*d + 4*d + 5. What is the least common multiple of v(6) and 10*(0 + 2 + 3)?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*l + 3*l - 36 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) be the third derivative of -4*z**7\/105 + 53*z**4\/24 - 173*z**3\/6 - 2*z**2 + 535*z. What is the derivative of x(u) wrt u?\nAnswer: -32*u**3 + 53","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of f**6\/15 + f**5\/10 + 515*f**4\/3 + f**3\/6 - 1343*f**2\/2 - 5418*f. What is the second derivative of p(n) wrt n?\nAnswer: 24*n**2 + 12*n + 4120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the second derivative of o**3\/6 + 4*o. Let n(p) be the second derivative of -11*p**3\/6 + p. What is c(n(g))?\nAnswer: -11*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 9 - 0. Suppose 33 = -0*k + i*k. List the prime factors of k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -20*s - 16. Let d be -6 + (1\/(6\/(-10)))\/(82\/246). Let r(k) = -7*k - 5. Determine d*r(p) + 4*q(p).\nAnswer: -3*p - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-164 + 4 + 73 + (0 - 2 - 1)*(1 + 0 + 4))*(o + 0*o + o - 2 + 2 + 2*o - 1 + 2*o + 1 + (-3 - o + 3)*(3 + 0 - 4) + 0*o + 3*o - o).\nAnswer: -918*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 41709355 to the power of 1\/5, to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w - 9. Let m be t(7). Let y be (m\/6)\/((-4)\/(-12)). Let x be (0 - y) + 5 - 2. Solve 0 = -2*f - 6, 3*f + x = -2*c + 1 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2530818447616+7\nAnswer: 2530818447623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k**(-12)*k*k)*k\/k**(14\/5) assuming k is positive.\nAnswer: k**(46\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 + q + 1. Let s(j) = 8*j**3 + 10*j**2 - 10*j + 4. Let d(f) = 7*f**3 + 9*f**2 - 9*f + 3. Let o(x) = 7*d(x) - 6*s(x). Give -5*o(v) - 15*z(v).\nAnswer: -5*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 31431 (base 13) in base 6?\nAnswer: 1522100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (-4998)\/(-105) + (-12)\/(-5).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f + 4. Let r = 2 - -20. Suppose 8*v - 12 = 5*v. Let o(z) = 11*z + 11. Let u(k) = -k + 1. Let y(w) = v*u(w) + o(w). Calculate r*q(p) - 6*y(p).\nAnswer: 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.6477ml in litres?\nAnswer: 0.0086477","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-22098)\/(-5208) + 4 + 1198\/18569.\nAnswer: -5\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of i**4\/12 + i**3\/6 + i**2\/2 - 2*i. Let d be u(-1). Suppose -2*j + 6 = 2. Which is smaller: j or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + -2. Let w be a\/(-15) - (-34)\/5. Let p = -3 + w. What is the highest common factor of p and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 + 66\/(-18) + 3\/(-9). Suppose d = 98*k - 101*k. Let k - 4*h**5 + 20\/3*h**3 - 8\/3*h + 4\/3*h**2 - 4\/3*h**4 = 0. What is h?\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 minutes before 9:50 PM?\nAnswer: 10:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -8\/23, 1\/5, -2 in ascending order.\nAnswer: -2, -8\/23, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 6452744 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -19231*j - 19201. Give q(-1).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34995 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 84640525649 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*z**2 + 0 + 2\/5*z.\nAnswer: 2*z*(z + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -6*m**3 - m**2 - 3*m + 3. Let t be c(-3). Let n be 1\/(-1 - 16\/(-15)). Calculate the greatest common factor of n and t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 126641023 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 7*w**2 + 2*w + 1. Let j be x(2). Suppose -j = 4*y - 249. Does 6 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -4 - -6 - (-4 + 2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -432a (base 13) to base 16\nAnswer: -2473","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + 33. Find the second derivative of y*w - 17*w + 19*w**2 - 25*w wrt w.\nAnswer: 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7, 104, 351, 820, 1583?\nAnswer: 2712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zmee when four letters picked without replacement from qqqqezzzzmeezehzz.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 4*g + 72 = 0, g - 12 = 5*g. Let z = v + 127\/3. Let w = 7 - 11. What is the nearest to -1\/2 in -3\/4, w, z?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 2735*m = -2736*m - 30, 7*s + 2*m = -42 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gglglylggyl. What is prob of sequence ygl?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 AM and 5:12 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -54 + 49.3. Let h = -4.83 - r. Is -0.1 equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3819948029 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 170484493089 - 170462387825.000154. Let s = b - 22105246. Let v = s + -18. What is v rounded to five decimal places?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 3*v. Let f(h) = h. Let u(l) = 8*f(l) - 3*x(l). Let n(q) = -64*q. What is n(u(o))?\nAnswer: 64*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3122904791 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15015 and 715.\nAnswer: 15015","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 - 18 = -5*a - 3*r, -2*a - 4*r + 28 = 0. Solve -4*y - a = -0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 66997*m**2 - 3*m. Let a be (15\/(-10))\/3*-8. Let z be (-1 - (a - 3)) + 1. Let f be k(z). What is f rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18775.\nAnswer: 5, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -4*f - 5. Let h(w) = -w - 1. Let n(i) = 3*h(i) - s(i). Let g(z) = -3*z - 5. What is 2*g(o) + 5*n(o)?\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*i + 4*i - 2*i)*(0*i + 2*i + 0*i) + (5*i - 3*i - 3*i)*(0 + 0 + 2*i) - i**2 - 5*i + 5*i to k*i + l*i**2 + m and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of 0*j**5 - j**3 + 0*j**2 + 0*j + 15 + 0*j**4 + 11\/6*j**6. What is the third derivative of p(u) wrt u?\nAnswer: 660*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-30)\/14*(2 + -25 + 3406\/156).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3146) - sqrt(3146)*-1*6 - (1*(sqrt(3146)*-1 + sqrt(3146) + sqrt(3146)) + sqrt(3146)))\/((sqrt(162) - 3*sqrt(162))*-1*6).\nAnswer: 55*sqrt(13)\/108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18 + 11. Let m = q - -66. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 91 + 0. What is the highest common divisor of 13 and w?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(143)\/(sqrt(55)\/sqrt(5)).\nAnswer: -4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2 + 100*j - 3936. Determine o(-116).\nAnswer: -2080","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 123\/82*8\/6. Let d = 6 - 6. Put -5, d, 3, a in ascending order.\nAnswer: -5, d, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*g**2 + 83*g**3 + 94*g**3 - 4*g**2 + 112*g**3 + 60*g**3.\nAnswer: 349*g**3 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1411271 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9 - 318522.586.\nAnswer: -318531.586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 5*u + 10. Let b(t) = -t + 1. Let m(q) = 3*b(q) - k(q). Calculate m(-5).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, 3, -48, -2 in increasing order.\nAnswer: -48, -4, -3, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 392 and 28?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**5 - o**2 + o**2 + o**2 + (-10*o + 5*o**3 + 10*o)*(0*o**2 + 0*o**2 - o**2).\nAnswer: -3*o**5 + o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.790914 micrograms in kilograms?\nAnswer: 0.000000003790914","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tgi when three letters picked without replacement from gtimimspimmm?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*w = 28*w + v + 1, -3*w = v + 1 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -8*(-5)\/(80\/6). Suppose 0 = s + 2, -6 = y*i - s + 19. Let o be i\/(-5)*-1 + 1. What is the smallest value in o, -5, -0.12?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -655 + 661. Let h be 62*1\/(-18)*c. Which is bigger: -22 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 105, 467, 1083, 1953, 3077, 4455?\n\"Answer: 127*l**2 - 19*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2608*x - 133632 = 109465 - 68361 for x.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6)\/sqrt(2) + 2 - sqrt(21)\/(sqrt(49)\/sqrt(7)))**2*5.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2. Let p(j) = -5*j. Let k(i) = 4*i. Let z(a) = -4*k(a) - 3*p(a). Give t(z(o)).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (70 - 66)*(-4)\/10 + 2. Which is the second biggest value? (a) 4 (b) j (c) -89\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -34803, -69475, -104147, -138819?\nAnswer: -173491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/((2 + 1)\/(-30)). Suppose 0 = -6*n + n + x. Solve -31 = 5*t - 0*c + 2*c, 5 = n*t - 5*c for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 31146 or 31148?\nAnswer: 31146","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1077 and 1385038873?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 101293 and 0.12.\nAnswer: 12155.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 28440 divided by -453\nAnswer: -9480\/151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*o**5 - 3*o**4 + 611*o**3 + 61034*o wrt o.\nAnswer: 40*o**3 - 36*o**2 + 3666*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/15)\/(30\/50). Let j(q) be the first derivative of 1\/3*q - 1\/12*q**4 + 1\/6*q**2 - h*q**3 + 2. Suppose j(u) = 0. Calculate u.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 337509837*0.3\nAnswer: 101252951.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/9 (b) -0.014 (c) -2\/55 (d) 0.4 (e) 8\/7 (f) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 - -3. Let w(v) = 329*v**3 + v**2 + 2*v - 1. Let f be w(1). Let c(s) = 5*s**3 - s**3 - 7*s - 337 - 3*s**3 + f - 4*s**2. Give c(m).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + 2*k - 171, u + 0*k = -k + 33. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 - 17. Let f(m) = -31*m + 64*m - 32*m. Determine c(f(t)).\nAnswer: -t**2 - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 + 8*i - 25. Let l be o(-12). Let k = l - 28. Is k at most as big as -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -27463, -55033, -82713, -110503, -138403, -166413?\n\"Answer: -55*v**2 - 27405*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hrr when three letters picked without replacement from rrrhxxhchrrhrr?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**8\/(u\/(u**(-2\/5)\/u))*(u\/u**(-2))**(2\/25))\/(u**(4\/9)*u*u\/u**9*(u\/u**(-3))\/(u\/(u*u\/((u**9*u)\/u)*u*u))) assuming u is positive.\nAnswer: u**(3239\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -163051, -163050, -163049, -163048, -163047?\n\"Answer: d - 163052","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*k - 5*k + 22*k)*(-k + 2*k**3 + k).\nAnswer: 64*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, d: 1, g: 1, j: 2, p: 1, n: 1}. Give prob of picking 1 j and 1 n.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 107547412*v**2 - 215821053.\nAnswer: 215094824*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 3*s + 5*v, 2*s - 3*v = 6 + 29. Suppose -4*f = -27*p + 25*p + 10, s = 4*p - 4*f. Solve -3\/2*a**4 + 2*a**2 - 1\/2 - a**p + a = 0.\nAnswer: -1, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes after 4:22 PM?\nAnswer: 5:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of -4*k**2 + 0 - 1\/6*k**4 + k - 4\/3*k**3. Solve g(l) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10146816.54us to weeks.\nAnswer: 0.00001677714375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -3023*x. Let k(z) = 27*z. Calculate t(k(r)).\nAnswer: -81621*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 - 10*y**2 + 14*y + 22. Let n be q(-11). Let f(w) = w**3 + 11*w**2 - 11*w + 5. Is f(n) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times 1842668\nAnswer: -184266.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/3, 0.4, 5, -4, 4.\nAnswer: -4, 0.4, 5\/3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/1690 and -73\/230.\nAnswer: 38870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-22 - 9 + 6)*(-l + 0 + 0) as r + c*l and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 23838 greater than 23830?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 46863017 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of 5*m**4\/4 + 70*m**3\/3 - 16. Factor f(h).\nAnswer: 5*h**2*(h + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 561 + -1?\nAnswer: 560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 413 a factor of 30216680?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1d93 - 1c3b?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-1\/3)\/j*j**6)**(1\/5)*(j\/j**(8\/3)*j*j\/(j**(-1\/2)*j))**(-2\/95) assuming j is positive.\nAnswer: j**(89\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-444)\/(-3) + 37\/((-222)\/36) is divided by 52.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(76) + 1*sqrt(76) + sqrt(76) + sqrt(76)))\/sqrt(4)*-2.\nAnswer: 32*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -4, 2*g = -3*g - c + 3113. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.05 + 0.05. Let p = 0.042 - -4.958. Put k, p, -2\/9 in ascending order.\nAnswer: k, -2\/9, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 126 - 56. Let f = u + 2. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.038 in -28\/9, 1\/5, -2, -0.4, -1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 569 + -183. List the prime factors of m.\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.307 (b) -5\/3 (c) -0.1 (d) -6 (e) 5 (f) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1255668 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d - 5. Let y(q) = -q - 10. Let b(l) = 5*a(l) - 2*y(l). Calculate the least common multiple of b(-4) and 2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 912947 and -0.198.\nAnswer: 912946.802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 127 and 1.4?\nAnswer: 125.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, j: 3, s: 6, l: 1, f: 1}. What is prob of sequence zlfz?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (206\/3605)\/(8\/(-400)).\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d - 6. Let k = 13 + -17. Let z be a(k). Sort 6, 4, z in descending order.\nAnswer: 6, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 498, 861, 1350, 1965, 2706?\n\"Answer: 63*t**2 + 174*t + 261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -3*u - 11. Determine x(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3347766\/181 - 18496. Which is bigger: -1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 a, 1 l, and 1 z when four letters picked without replacement from {l: 6, p: 2, z: 3, a: 1}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -303000 divided by -10.\nAnswer: 30300","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -563212 and -1537.8.\nAnswer: -564749.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -6*s**3 + 2306*s**2 - 3062*s + 741. What is g(383)?\nAnswer: 1507","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/7 + 222*i\/7 - 436\/7.\nAnswer: -2*(i - 109)*(i - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h. Let j(r) = -18*r - 6006. Calculate j(s(l)).\nAnswer: -18*l - 6006","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2847798 and 1134?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -1, 0*j - 4*j + 3*z = -219. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (262 - 258)\/(4\/626230) + (2 - -1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -251 (base 8) to base 16.\nAnswer: -a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1\/8 (b) -3\/5 (c) 1 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 16*a - 71. Let o be p(4). Let c = -649 - -643. Is o at least as big as c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 69 - 62. Let x be r\/70*-6 + (-266)\/(-10). Let l be (-2)\/(-48)*x - 1\/(-4). What is the biggest value in 4, l, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rtggrtygrgjggrtrtgkk. Give prob of sequence ggk.\nAnswer: 7\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -51\/10 and (-79)\/22 + 6\/33.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 5*v + 88. Let k = -36 - v. Let l = k - -20. Calculate the greatest common divisor of 2 and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -456, -452, -448?\nAnswer: -444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -526 + 530. Suppose l*r = 4*p - 2*p - 22, 0 = -r. What is the highest common divisor of 451 and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(2\/7))**24\/(h\/(h\/(h*h**(-6)*h)*h)*(h\/h**6)\/h)*((h\/(h\/(h\/(h**2\/h))))\/((h**(-3)\/h)\/h))**(-10) assuming h is positive.\nAnswer: h**(-225\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -738 - 49*z**2 - 196 - 119 - 2*z**4 wrt z.\nAnswer: -8*z**3 - 98*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1757 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*n = -59 + 59. Let l(f) = -f**3 + f**2 + f - 4. Let g be l(0). Let d = n - g. Calculate the smallest common multiple of 28 and d.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3053793 is divided by 27266?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.7 + -0.3. Let q(h) = -h**2 - 8*h - 1. Let i be q(-8). What is the second biggest value in s, -1\/4, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -97 by 1292176.\nAnswer: -97\/1292176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 2*s - 6 - 8, 5*s - 23 = 2*h. Find the third derivative of 25*a**2 - 2*a**3 + 6*a**s + a**4 - 3*a**4 - 3*a**3 wrt a.\nAnswer: -48*a + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101757?\nAnswer: 3, 107, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 5*j - 3*j - 7*j + 3*j. Let n(w) = -w**3 - 4*w**2 - w + 2. Let q be n(-4). Let z(l) = -9*l. Let y(g) = 5*g. Let t(f) = q*z(f) + 11*y(f). Give v(t(b)).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1862*z**3 - 3720*z**3 + 1857*z**3.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*k**3 + 8592*k**2 - 17193*k + 8598.\nAnswer: 3*(k - 1)**2*(k + 2866)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n - 5*n = 40. Let d(w) = -w + 11. Suppose -3*j = 2*p - 109, -3*p + 2*j + 170 = -0*j. What is the remainder when p is divided by d(n)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**4\/4 + 61*r**3\/2 - 5361*r**2\/4 + 25010*r - 168100 = 0. Calculate r.\nAnswer: 20, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lxxw when four letters picked without replacement from wxllxwxw.\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1193123?\nAnswer: 1193123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 799*g*s**2 + 20*g*s - 23*s wrt s?\nAnswer: 1598*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9*1*(-7)\/21. Let a be 0*(q - 10\/(-4)). Let h = a + 35. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b**3 - 79*b**2 - 76*b + 89. Is 42 a factor of c(41)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**3 - 665*j**2 - 1365*j + 2025.\nAnswer: 5*(j - 135)*(j - 1)*(j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve o + 5 = 2*c, -69*o + 9 = 2*c - 66*o for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 times -0.027?\nAnswer: 1.377","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1 + e9?\nAnswer: e8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 421*x + 3012 + 771 + 427 = 0 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from phhhph.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 63.03541 centuries in months?\nAnswer: 75642.492","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42509115518 - -3.\nAnswer: -42509115515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12049915 rounded to four decimal places?\nAnswer: -0.1205","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 92646*g**3 + 21530*g**3 + 2.\nAnswer: 114176*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-100)\/16)\/((-1)\/(-4)). Let s = g - -63. Is 3\/15 + s\/10 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 8) to base 15.\nAnswer: -d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**3 + 39*u**2 - 73*u - 39. What is m(37)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 1\/5, -4, -1\/5, -2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 120310423 (base 5) to base 10\nAnswer: 556988","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 12*m - 3. Let f(d) = -8*d + 0 + 56*d + 12*d - 15 + 1. Calculate -14*b(l) + 3*f(l).\nAnswer: 12*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-6)\/20*(-5)\/6. Let u = 7 + -5. Let y = u - 2.3. Sort y, g, 4 in decreasing order.\nAnswer: 4, g, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (p + 4*p - 4*p)*(p + 0*p + 0*p) + 1510*p**2 - 3172*p**2 - 1979*p**2 as o*p + s*p**2 + t and give s.\nAnswer: -3640","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -27*o**3 - 247*o**2 + 16*o - 7. Let t(d) = -7*d**3 - 66*d**2 + 4*d - 2. Let u(j) = 4*q(j) - 15*t(j). Give u(-2).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + t = 76. Suppose -76 = 4*f - 4*u, 4*f = 2*u - 35 - 51. Let s = f + t. List the prime factors of s.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -8*g + 2*g. Suppose 3*d = g*d + 2. Solve d*q - 1 = -3 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*w = 6*w. Suppose 4*m = -0*g - g + 22, w = 4*m - g - 18. Suppose 0*f = -f + 2*z + 23, 5*f + 3*z = 89. Calculate the remainder when f is divided by m.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -439, -1389, -2341, -3295, -4251, -5209?\n\"Answer: -w**2 - 947*w + 509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 1824800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 2*p + 56. Calculate the smallest common multiple of v(-20) and 36.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2)*o\/o**(-3\/5))\/(o\/(o*(o*o*o*o\/(o\/(o\/(o\/o**(2\/5)))))\/o))**15 assuming o is positive.\nAnswer: o**(178\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 140195093?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75*l - 50 = -15 + 40. Let v(c) = -c**2 + 2*c + 1. Let d(a) = -a**3 + a**2 + a + 1. What is l*d(f) - v(f)?\nAnswer: f**3 - 3*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -73707 or -737073\/10?\nAnswer: -737073\/10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9744 and 4752.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 77504 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -7*t + 3. Let u be s(-3). Let i = -7108 - -7110. Sort -4, u, -2, i in ascending order.\nAnswer: -4, -2, i, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -23 + 22.9986. What is t rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, -15, -18, -5, 30, 93, 190?\nAnswer: 327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4689098110783 and 25.\nAnswer: 4689098110808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 2647.00271 to the nearest one hundred.\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -29 - 2. Let m be o\/4 - 6\/(-8). Let w = -5 - m. What is the highest common divisor of w and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 109504069?\nAnswer: 109504069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 782838\nAnswer: -1\/391419","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 101 + -103 + (0 - -7) - 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 less than 302430100922663?\nAnswer: 302430100922662.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 + b. Let l be m(1). Suppose -l*g + 5*j + 10 + 9 = 0, -g = -j - 5. Find the third derivative of 3*f**g - 26*f**3 + 26*f**3 - 2*f**4 wrt f.\nAnswer: -48*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2 + n**3 + 1 + 28*n**2 + 10*n - 9*n**2 - 12*n**2. Let r be a(-5). Let m(g) = -3 + 3*g**3 - 14*g**3 + 12*g**3 - r*g**2 - g. What is m(3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tkni when four letters picked without replacement from {n: 3, p: 2, i: 4, k: 3, b: 2, t: 2}.\nAnswer: 3\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 7*c - 15. Suppose 0 = -2*x - 3 + 7. Suppose 2*k = 4*r - 6, r = x*k - r. Does c = k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 2*p**4\/7 + 2320*p**3\/7 - 49692*p**2\/7 - 102240*p\/7 + 4783050\/7 = 0.\nAnswer: -1181, -9, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12.296 - -57.68. Let g = z + 0.024. Let a = g - 69.922. What is a rounded to 2 dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1290 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 414169 or 414167?\nAnswer: 414169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*k - 5*i - 30, -9*k = -10*k - 3*i - 14 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(36)\/sqrt(3).\nAnswer: 2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 405*o**2 + 55*o - 55. Let u(r) = 29*r**2 + 4*r - 4. Determine -55*u(s) + 4*y(s).\nAnswer: 25*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -32*h + 12. Let b(x) = -13*x + 5. Suppose -342 = -2*t + 2*s, -9 = 3*t - 4*s - 521. Let o be (-1)\/(14\/t) - (-4)\/14. Calculate o*b(q) + 5*j(q).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a**4\/5 - 166930*a**3 - 87080495136*a**2\/5 - 87079660488*a\/5 = 0. Calculate a.\nAnswer: -208662, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -2*x + 25. Suppose 5 + 0 = -2*b - 3*i, 5 = -x*b - 5*i. Suppose -3*j - k = 2*k - 18, -b*k + 6 = -j. Put j, 5, -3 in ascending order.\nAnswer: -3, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d**2 - 8*d. Let q be t(7). Let s(n) = -n**2 - 7*n - 5. Let r be s(q). Put r, 2, 1 in descending order.\nAnswer: 2, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of f**5\/120 - f**4\/12 + f**3\/4 + 10*f**2 + 31. Let k(l) be the second derivative of p(l). Factor k(o).\nAnswer: (o - 3)*(o - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64908 to the power of 1\/2, to the nearest integer?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -38 - -20. Let r = -32 - s. Find the common denominator of r and 28.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*n + 6*b - 8 + 27 = b - 53, 0 = -9*n + 3*b - 102 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of -v**4\/6 - v**3\/2 + 2*v**2. Let i = -52 + 50. Give d(i).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -h**5\/10 - 39*h**4\/10 - 143*h**3\/10 - 21*h**2\/2 = 0. What is h?\nAnswer: -35, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4127 - 4118.514. Let o = d + -0.486. Put o, -0.5, 4, 0 in decreasing order.\nAnswer: o, 4, 0, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(450) - sqrt(50))*-4)\/(sqrt(160) + (sqrt(160) - ((sqrt(160) + -1*sqrt(160))*-1 - sqrt(160)))).\nAnswer: -8*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 83978907.\nAnswer: 3, 31, 29129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2*i**2 + 4*i - 47. Determine z(5).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 25850.68 centuries?\nAnswer: 258506.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 26\/(-6) + 20\/60. Calculate the common denominator of 17\/2 and (201\/(-60) - w) + (-9)\/(-3).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 297 - 231. What is the greatest common divisor of 22 and k?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 20047354?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - -56 - 19*703\/361?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b = 4*v + 10, 4*b = 6*v + 101930 - 101870 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a gram in milligrams?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 > 109?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -326.665 + 326. Round v to one decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9759476?\nAnswer: 2, 41, 59509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-20)\/32*2.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from luuujluuuuljllu. Give prob of sequence ul.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1002 divided by 6?\nAnswer: -167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**2 - 13*q - 10. Let n be y(-12). Is 12 a factor of 24\/6 + (70 - n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*d**2\/7 + 681*d\/7 + 228\/7.\nAnswer: -3*(d - 76)*(3*d + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -12 + (0 - -2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d - 3*d + 4*d)*(-4*d + 3*d + 2*d) + (19*d + 20*d - 34*d)*(241*d + 10 + 237*d - 477*d).\nAnswer: 7*d**2 + 50*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.65 + 1.75. What is the nearest to u in -30, 1, -0.3, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30 - -59\/2. Let z = -7 + 6.8. Which is the closest to -2? (a) r (b) z (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 7*r**2 + 13*r + 38. Let w be s(9). Let i = w - 115. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 1\/201511?\nAnswer: 1\/201511","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3235380270?\nAnswer: 2, 3, 5, 37, 659, 4423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-16)\/(-60))\/((8\/5)\/(-4)). Let a = -6 + 5.55. Let s = 0.05 + a. Which is smaller: s or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 27*g + 33. Let i(z) = -22*z. Determine a(i(r)).\nAnswer: -594*r + 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010100101010 + -1?\nAnswer: 10010100101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -10*i - 52. What is b(-5)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 13334002 (base 6) to base 4\nAnswer: 1231113302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/23? (a) 2 (b) -5 (c) -1\/32 (d) 0.002\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40)\/(-3*sqrt(128)))**2.\nAnswer: 5\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 426469 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 109*b + 30*b + 56*b + 14*b as z + q*b and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 7:26 AM?\nAnswer: 6:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 908413194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-4) - ((-21)\/(-6) + -3). Suppose t = 2*l + 3*l - 485. Let m = l + -94. Which is smaller: m or 21\/8?\nAnswer: 21\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/4 + 1158\/4624. Let k = 1024978284863\/188486775664 + 18\/40762711. Let b = k - y. Calculate the common denominator of b and 119\/18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14899\/20 + 745. Let q be 1 - (-7)\/(-3) - -2. Which is the smallest value? (a) q (b) -0.2 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2\/6)\/((-12)\/(-54)))\/(13\/(-26)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -0.56, -5, 4, -16\/25 in ascending order.\nAnswer: -8, -5, -16\/25, -0.56, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6198776 is divided by 140881?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 693383 is divided by 53335.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 3 - 10*t**3 - 8*t**3.\nAnswer: -18*t**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 4*g = 1056 - 1014 for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 8018?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 96.53 - 22.53. Which is the third smallest value? (a) 6 (b) -2\/11 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53167 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*x**3 - 269 + 269 + 16*x**3.\nAnswer: 9*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -2) + ((-7)\/35 - 26\/(-65))?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(9\/(-4))*((-270)\/156)\/5\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2647*k**2 - 58*k + 14. Let m(h) = -882*h**2 + 21*h - 5. Give -4*d(a) - 11*m(a).\nAnswer: -886*a**2 + a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 + -1112420?\nAnswer: -1112420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 871, 5, -2, -178, -4, 0 in ascending order.\nAnswer: -178, -4, -2, 0, 5, 871","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/3, 6\/7, -1\/6, 1\/7, -82, -175 in increasing order.\nAnswer: -175, -82, -1\/6, 1\/7, 1\/3, 6\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -25 - 191027.\nAnswer: -191052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -489*n - 88*n - 286*n + 117*n.\nAnswer: -746*n","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*c**3 - 13*c**3 - 5*c**3 + 30*c**3 - 17*c**3.\nAnswer: -25*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -11 (b) -0.1 (c) -0.19 (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 76, -2, -31\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34612*-1543.\nAnswer: 53406316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((152\/(-57))\/(-8))\/(34\/6))\/((-3)\/54).\nAnswer: -18\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 20287769?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjbjjbjjbjjjbqbqjevv. What is prob of sequence bqjb?\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2488616 (b) -4\/7 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13773 is divided by 89.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 15) in base 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6014 a multiple of 147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 3*o - 44. Let w(k) = 5*k - 67. Determine 8*g(j) - 5*w(j).\nAnswer: -j - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 3*f**3 + 8*f**2 - 7*f + 13. Suppose -354 = -6*b - 0*b. Let a = -54 + b. Is j(a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -35*i. Let k(d) = 5*d + 4*d - 3*d - 12*d + 25*d. What is k(u(o))?\nAnswer: -665*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lptljqqll. What is prob of picking 1 t, 1 p, and 1 j?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = m**3 - 3*m**2 - 4*m + 9. Let a be ((-4)\/10)\/((-10)\/100). Let y be n(a). Suppose -y*d + 2*d = -14. Solve d*f + 14 = -2*j, 2 = 4*j - 4*f - 2 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 68757830?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -532 (base 6) in base 3?\nAnswer: -21102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 4*l = -15, 4*t + t - 5*l + 15 = 0. Which is smaller: 6\/167 or t?\nAnswer: 6\/167","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-8) - 69\/92. Let g(h) = -3*h**3 + 3*h**2 + 4*h - 1. Suppose 12*w + 4614 = 4578. Let k(d) = -d**2 - d + 1. What is w*k(v) + y*g(v)?\nAnswer: 3*v**3 - v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 31\/2 of a century?\nAnswer: 1550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1801 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 224240204002 - 12?\nAnswer: 224240203440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d**2 - 6*d + 12*d - 1 - 2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 115\/(-46)*(-24)\/10. Suppose 5*y = w*l - l - 2165, l - 4*y = 436. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-4 + -1 + 4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (1*sqrt(7) + -1 - sqrt(7) - sqrt(7)).\nAnswer: -sqrt(7) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 105327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen sevenths of a week in hours?\nAnswer: 312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q + q - 5*q)*(-2*q**3 + 7*q**3 + 2*q**3).\nAnswer: -14*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -690*g = -694*g - 3*w - 213, -2*w = 3*g - 9*w + 169 for g.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -974, -3\/7, -5, -135, 5 in descending order.\nAnswer: 5, -3\/7, -5, -135, -974","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -878 + 922. What is the highest common factor of 154 and a?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1453072 and -31378?\nAnswer: 1484450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 20*z + 5. Suppose -3*h + 2*h = 8. Suppose 5*v + 13 = -12. Let k(g) = -13*g - 3. Let c(b) = h*k(b) + v*f(b). Give c(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6595 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.75 + 5.63. Let o = w + 0.12. Which is the second biggest value? (a) 3\/2 (b) -1 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 63*i - 19*i - 26*i - 18*i + i**2.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -28 (b) -7\/3 (c) -1\/19 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 PM and 11:17 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4661620.237 times 4\nAnswer: 18646480.948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -121644 at most as big as -196?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*b - 5*b + 6*b)*(2 - 4 + 1) - 618*b + 561*b - 440*b - 1646*b + b - b + b.\nAnswer: -2140*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 n when two letters picked without replacement from mnnmmnmmmmmmnmmmmmnm?\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 83841 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 537340 and -89.\nAnswer: -47823260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 5, -1915936.\nAnswer: -1915936, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3022310 - -101203?\nAnswer: 3130113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 - 22\/6) + 3400\/6 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a century in years?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 22083.94km?\nAnswer: 22083940000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 + 1. Let m = -2 - -8\/5. Let k be (6 - 3 - -3)\/4. What is the closest to m in v, k, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5 + (-5)\/(5\/(-632)). Calculate the greatest common divisor of 26 and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-f**2 + f**2 - f**2)*(278*f**2 - 180*f**2 + 333*f**2) in the form s*f**3 + a + g*f**4 + l*f + p*f**2 and give g.\nAnswer: -431","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -20.061 and -3.\nAnswer: 60.183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1a4 (base 16) to base 14\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 688 is divided by 326?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -149 + 99. What is the closest to 1\/3 in -3, z, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1143230 + -10?\nAnswer: 1143220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 266827 at least 266826?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/4 (b) 106 (c) -0.4 (d) -27 (e) 0.4 (f) -0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 48 + -1. Suppose 0 = -39*k + y*k - 72. Calculate the greatest common factor of k and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*d, -26*w + 23*w = d + 2. What is the greatest common divisor of w and 110?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 268250 by -3625.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8805)\/23480 + 405\/(-8)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {h: 4, b: 2, x: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 1334705.23 to the nearest 100000.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 158094?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 2726 = 4*j - 2197, -2*h - 1232 = -j. Calculate the least common multiple of 51 and j.\nAnswer: 20910","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -323821 + -49.\nAnswer: -323870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8351680?\nAnswer: 2, 5, 26099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -10011010 (base 2) to base 7\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4012.524um in nanometers?\nAnswer: 4012524","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 371 = 31*b - 373. Suppose -b*o = -1454 - 1978. Is 146 < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1470, -5716, -12794, -22704?\nAnswer: -35446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -40 (b) 412\/9 (c) 894 (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 651 - -122?\nAnswer: 773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.19 (b) -3\/2 (c) 0.1116 (d) -3 (e) -1\/7 (f) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 - p**2 + 1. Let k(f) = 5*f**2 + 11 - 76*f - 17 + 75*f - 6*f**3. Calculate -k(g) - 5*t(g).\nAnswer: g**3 + g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.0127 times 0.3\nAnswer: -0.00381","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 + -15. Suppose 5*v - h*v - 63 = 2*x, x = -v + 26. Calculate the remainder when v is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - 15 - (-19 - (0 + -8))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 6*g + 6. Let i(b) = 5*b + 5. What is 4*i(c) - 3*r(c)?\nAnswer: 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*x**(-2\/7)*x**10 assuming x is positive.\nAnswer: x**(75\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 21\/5 of a millennium?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 - (-5 + 12 + -11 - (-4 - 2)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 26.9232785 - -1.\nAnswer: 27.9232785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9875*t + 9733*t = -16472 for t.\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 - 3 - 2*n + 6*n**3 - 7*n**3. What is the tens digit of f(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 52*y**2 - 26*y**2 - 19*y**2)*(-2*y**2 + 0*y**2 - y**2).\nAnswer: -21*y**4 + 6*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 754.3309 millennia to years.\nAnswer: 754330.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1 + 0.3. Let v = 5\/29867 - -59619\/686941. Sort -3, v, d in descending order.\nAnswer: d, v, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 95, 52, -63, -286, -653, -1200, -1963?\nAnswer: -2978","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, -3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6651316?\nAnswer: 2, 7, 237547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n - n + 0*n)*(11 - 16 - 44) + n + 2*n - 4*n - 1 - n + 1 + (-3 + 4 + 1)*(-4*n - 6 + 6).\nAnswer: -157*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:48 AM and 9:12 AM?\nAnswer: 444","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**40\/(b*b*b*b**(-2\/129))*(b**(-7\/5)*b)\/b*b**(-6) assuming b is positive.\nAnswer: b**(19102\/645)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14*((-2397)\/(-238))\/(-47)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 4*i - 32 = 0, 24*w - 21*w = -5*i - 43. Let j(k) = 3*k**2 + 2*k**2 - 4*k - k. Let x(t) = -t**3 + 6*t**2 - 6*t. Calculate w*j(o) + 5*x(o).\nAnswer: -5*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6906853 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*a**4 + 126307925*a - 4593286.\nAnswer: 8*a**3 + 126307925","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -145*p**4 - p**3 + 52*p**2 + 3*p - 1. Let r(h) = h**3 + h**2 - 3*h + 2. Let x(k) = -j(k) - r(k). Find the third derivative of x(q) wrt q.\nAnswer: 3480*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -458760, -917469, -1376178, -1834887, -2293596?\nAnswer: -2752305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.3 in 2\/13, -15, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 133569396?\nAnswer: 2, 3, 271, 13691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -247 + 239 - (75 + (9 - 12) - -8)?\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -418 - -54403?\nAnswer: 53874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/12? (a) -3\/7 (b) 2\/7 (c) -12 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1156.23032 to 1 decimal place.\nAnswer: -1156.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (742\/84)\/53 + (-11)\/(-6). Solve -y - 2*k = 5, 6*y - 3*y + 15 = -l*k for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3169 and 0.5?\nAnswer: 1584.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 10*b**3*p**2 - 1036*b**3 + 3*b + 6561*p**2 - 17*p - 1 wrt b?\nAnswer: 30*b**2*p**2 - 3108*b**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -1*(3\/12 + 2025\/(-36)). Let n = -51 + y. Let h = 108\/7 + -110\/7. What is the nearest to 1 in h, -4\/7, n?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -134 - (4 + -4)\/(-3 - -1). Let p = -70 - v. Is p a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 67\/4 of a kilometer?\nAnswer: 16750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 6\/7 (b) -3\/5 (c) -1\/4 (d) -0.1 (e) -23\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -24 - -25 - (-4 - 0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -333 - -325. Let y be 20775*((-416)\/3)\/a. What is y rounded to the nearest 10000?\nAnswer: 360000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 72.7775 - 2.7775. What is the closest to -2 in m, -5, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1216 - 412. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 11*a - 1. Let g be b(-1). Let k be 4\/(g\/(-9)) + 0. Find n, given that -1\/2*n - 1\/2*n**2 + 0 + 1\/2*n**4 + 1\/2*n**k = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p - 3*p + 2*p)*(1 + 15 - 2)*(-5*p**2 + 4*p**2 + 2*p**2 - 3).\nAnswer: -28*p**3 + 84*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 11*v**2 + 0 + 0 + 20*v**2 - 44*v**2. Let q(p) = -4*p + 29. What is k(q(y))?\nAnswer: -208*y**2 + 3016*y - 10933","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1)\/(-2))\/(2\/12). Let s = 0.085 - 1.085. Let a = 8\/3 + -3. Put a, z, s in descending order.\nAnswer: z, a, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 9\/10 of a century?\nAnswer: 1080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 352 (base 9) to base 10.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -143 - -124. Let q(h) = -h**2 - 30*h + 63. What are the prime factors of q(w)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 636446090.\nAnswer: 2, 5, 7, 9092087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2984156?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 874*n + 22737. What is k(-26)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 less than -382024.366?\nAnswer: -382024.566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9*u - 168*u + 131*u - 504 for u.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/43632 and 187\/41377680.\nAnswer: 124133040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0.3 (b) -53 (c) 2\/5 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*t - 31*t - 4 = 0, 8*t - 3*t = -3*m - 5. Let -114*h**2 - 51\/5*h**4 - 3\/5*h**m - 282\/5*h**3 - 483\/5*h - 147\/5 = 0. What is h?\nAnswer: -7, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135297?\nAnswer: 3, 5011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 2687 divide 670199601?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -303304 + -20?\nAnswer: -303324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6*-23 + 3980384\/28760?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 0. Let i be ((-9)\/d)\/((-6)\/(-8)). Let b = 64 + -125\/2. Sort -5, i, b in descending order.\nAnswer: b, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -15*q**2 - 5 + q + 2*q**3 - 9*q + 1 - 3*q. Is g(9) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m + 10 = -7*m. Suppose -3*j - 12 = -4*r, -m*r - j + 46 = 3*j. Suppose -q + 4*q = 0. Solve 2*s + s - r = q for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 + 42*f**2. Let c be r(42). Suppose 0 = y + 2*v, 2*v - 6 = -2*y - c. Solve a + 5*h - y = 18, 3*a = 5*h - 8 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*b + 21*b - 7*b - 227 - 2*b + 796.\nAnswer: 7*b + 569","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 590?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10244 + -5709. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-1*(sqrt(1539) + sqrt(1539) + sqrt(1539)*1 + 3)*3)**2.\nAnswer: 23328*sqrt(19) + 1995840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 9. Let g(m) = -m**2 + 8*m + 9. Calculate the remainder when 17 is divided by g(h).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 489\/13 in 18, -1\/3, 4\/9?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 26*j**2 + 80*j + 62. Let k(y) = -5*y**2 - 16*y - 12. Let h(v) = -3*f(v) - 16*k(v). Let t be h(-8). Solve 3*m + t = 0, -6*i + 1 = -3*i + 4*m for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86354 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**3 + 9*f**2 - 2*f + 22. Let d = 57 + -48. Let y be x(d). Is 2 - (-420)\/y - -1 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86996 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 12 = -7*j - 4*y, 0 = 5*y + 5. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 17. Let s = 28 - u. Suppose -s = -4*w, 4*w - 2 = -2*k + 3*w. Is -1 bigger than k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/((-43)\/(-5))*-1. Let y = 195\/172 + z. What is the biggest value in y, 4, -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 2*w + 60. Is (-6)\/w - 186\/(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 3*m - 24. Let o be d(8). Solve 4*b + o*x = 5*x - 37, -3*b + 2*x = 19 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/2, 14, -3, -184, 2\/15, -3\/2?\nAnswer: -184","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3194840 to the nearest integer?\nAnswer: 1787","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 3. Let c(d) = -2*d + 10. Let n(p) = -5*p + 23. Let q(v) = 7*c(v) - 3*n(v). Give -g(f) - 2*q(f).\nAnswer: -2*f - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -10*y - 4. Let l be t(-3). Let b = 39 - l. List the prime factors of b.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (-3 - (-4 + 0)) - (22 - -20).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 84009079 and 539.\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (-2 + 1 + -2)) + -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 39 + 84*x - 16 - 25. Let n(z) = 83*z - 2. Let r(u) = 4*k(u) - 5*n(u). Is r(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**2 - 4*h - 1. Let g(y) = y**3 - 17*y**2 + y - 14. Let n be g(17). Calculate z(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -2 in decreasing order.\nAnswer: 3, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 2*v**3 + 3*v**2 - 5*v - 3. Let o be t(-3). Suppose 25 = 4*l - 9*l. Let z = l - o. Does 9 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 8 = 17. Let k be 10\/3 - 1\/h. Suppose -k = 2*p - 25. What are the prime factors of p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*z + 7 + 274*z - 1 - 21*z + 25*z.\nAnswer: 305*z + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5 - 0 - -9) + 199. Suppose 0 = -4*w - a + 167. Let d(g) = g + 9. Calculate d(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -152 (base 12) to base 2\nAnswer: -11001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y - 2*y + 4*y - y - 4*y.\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x**4 - 5*x**4 + x**4 + (4 - 4 + 2*x**3)*(-4*x - 8 + 8) + (-1 - 5 + 4)*(0*x**4 + x**4 - 2*x**4).\nAnswer: -8*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -157 + 913 = 3*u. Let l = u + -248. What is the lowest common multiple of 8 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 12*u. Let d(y) = 5*y. Let t be (6 - 4)\/((-4)\/30). Let m(f) = -20*f. Let c(l) = t*d(l) - 4*m(l). Determine j(c(h)).\nAnswer: 60*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:07 AM and 8:28 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5 or 16215\/3112?\nAnswer: 16215\/3112","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 497, 485, 483, 509, 581, 717?\nAnswer: 935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 2 u, and 1 w when four letters picked without replacement from {b: 1, u: 2, g: 2, o: 1, w: 2, x: 1}.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0361 - 8.\nAnswer: -8.0361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (441\/(-54))\/((10\/(-24))\/(330\/132))?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 75247?\nAnswer: 47, 1601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 6*b + 88 = 0. Calculate the common denominator of b and 52\/3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 + 12*u**2 - 20*u. Let o(z) = 10*z**3 - 130*z**2 + 220*z. Let s(c) = 45*a(c) + 4*o(c). Factor s(t).\nAnswer: -5*t*(t - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 5*m**2 + 4*m - 5. What is p(-4)?\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4425*f**4*o + 12*f**3*o**2 - 1255*f*o + 27*f + o**2 wrt f?\nAnswer: -53100*f**2*o + 72*f*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -21*q + 254. Determine k(12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -6*t**2 + 178*t - 700. Give v(4).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68244?\nAnswer: 2, 3, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a millisecond in microseconds?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 294170 (base 10) in base 9?\nAnswer: 487465","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 - 17.5. Let u = -0.0329 + -1.9671. Put 5, -3, i, u in descending order.\nAnswer: 5, i, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, 2, 5, 1379, 0.1, 0.071?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 7*f**2 - 5*f + 6*f**2 - f**3 - 9*f**2 - 1 + 2*f**3. Let c be y(-5). Let n(m) = -21*m**3 - m**2 + 1. Does 8 divide n(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 33416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 311118 and 3288.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -14, -5, 4, -7742 in increasing order.\nAnswer: -7742, -14, -5, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -4*t**2 + 14. Let o(g) = -4*g. What is v(o(f))?\nAnswer: -64*f**2 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 198?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-20))\/((-44)\/(-33)) + 2\/5\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10009 is divided by 956.\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 5*j - 55. Calculate the remainder when g(17) is divided by 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**2 - 20*u - 31. Calculate p(21).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**2 + 6*l - 8. Let u be m(-8). Let f = u + -5. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.7*-1.11.\nAnswer: -0.777","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -639, -2555, -5749, -10221, -15971, -22999?\nAnswer: -31305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, i: 3}. Give prob of picking 2 t.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -60\nAnswer: -180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (20\/25)\/(-5 - 146\/(-30)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**2 - 8*o + 7. Let u be k(7). Let a be 11 + u + -3 + 1. Let s be (24\/9)\/(2\/3). Solve i + s*f + a = 5*f, f = 4 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that m**4\/3 + 26*m**3\/3 - m**2\/3 - 26*m\/3 = 0.\nAnswer: -26, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11038.98 + -10866. What is b rounded to the nearest 10?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1985 and 136138049.\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2829445001 to the power of 1\/3, to the nearest integer?\nAnswer: 1414","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/8)\/((-205905)\/7770).\nAnswer: -1\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*d**3 + 0*d - d**2 - 3*d**2 + 12*d**2 + 10*d**2 - 9*d to s*d**3 + v*d**2 + n*d + r and give n.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 3:10 AM?\nAnswer: 12:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + -4 + -1 - 6.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e, 1 b, and 1 a when three letters picked without replacement from baeaaaaaeaabeaa?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -36. Let n = o + -29. Solve -2*t = 5 - n for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ovoojvjov. What is prob of sequence vvj?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/((c**1*c*c)\/c))\/c*c**(-7)\/c assuming c is positive.\nAnswer: c**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -829*p + 1096*p = -5607 for p.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 59166.\nAnswer: 2, 3, 19, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4680.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-495*v**2 + 781*v**2 + 236*v**2)*(-2*v + 9 - 9) + 3*v**3 - v**3 + 0*v**3 + 2*v**2.\nAnswer: -1042*v**3 + 2*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*m**3 - 2*m**3 + 3*m**3 + (6*m**2 + 6*m**2 - m**2)*(-8*m - 7 + 7) in the form u + v*m**3 + z*m + a*m**2 and give v.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -108487*r**2 + 2*r. Let j(s) = -s. Calculate q(j(n)).\nAnswer: -108487*n**2 - 2*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0332 and -135?\nAnswer: -4.482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 = -3*h + 6. Suppose -9*w + 1740000 = -h*w. Round w to the nearest one hundred thousand.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2358?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -8*v + 160. Let y be w(20). Let c = -15 - -17. Put 1, y, -3, c in increasing order.\nAnswer: -3, y, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in -1, 929, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/7, 0.055, -0.2, -1\/2, 0.7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-33)\/(-44))\/(-3*3\/(-36)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 4*x - 39 = 0, -29 = 17181*g - 17183*g + 3*x for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rerxxereerrre. What is prob of sequence xx?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h*h**(4\/7)*h)\/h)**(-3\/13))**23 assuming h is positive.\nAnswer: h**(-1242\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 11 = -3*d, -k + 0*k - 19 = -5*d. Suppose -2*t + 699 = 4*g - 587, -t - 952 = -d*g. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.8651 times 0.6\nAnswer: -0.51906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4365*w**4 + 152*w**3 + 34668*w**2 - 7*w wrt w.\nAnswer: -104760*w + 912","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -5. Let t = 189\/5 + -943\/25. Let s = t - -8\/25. Which is greater: l or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 219*u - 205*u + 4 = -150 for u.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 + 235\nAnswer: 234.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 30 - 12*c - 19*c + 68*c - 42*c. Give z(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 89 = -4*l - 139, -179 = 3*j + l. Let s = -39 - j. What is the units digit of (s - 1) + (-3 - 0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19015 + -2.\nAnswer: -19017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28777782*b**2 + 44 + 28777796*b**2 + 3 to the form w*b + k*b**2 + t and give k.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11053.0053 + 11044. Let j = -0.1 + -8.9. Let f = j - l. Round f to 3 dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 8\/3, -1.2, -2\/273.\nAnswer: -4, -1.2, -2\/273, 2, 8\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7497048 is divided by 937112.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 252 divided by -84.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 4*j + 4*s, 2*j - 7*s + 4*s + 22 = 0. Let q be (63\/(-35))\/(-9) - (-1)\/j. Suppose q = v - 11 - 24. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and -0.1.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30 + 5 + (-21 - -34)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1184 and 0.5.\nAnswer: 0.3816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -28*q - 20. Is l(-4) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 2 h when three letters picked without replacement from hrrrhhrrrrrrrhhhrhhh?\nAnswer: 33\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 149 divide 1593480706?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 144*x - 573. Let a be (-3*2\/(-1))\/(93\/62). Let k be g(a). Find o such that 15\/2*o**5 + 9\/2*o**4 - 6 + 3\/2*o**2 + 18*o - 51\/2*o**k = 0.\nAnswer: -2, -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 409918 to the nearest integer?\nAnswer: 640","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -140? (a) -1 (b) -3 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -38751964*p**4 + 755792019*p**2.\nAnswer: -930047136*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (5*18\/(-135))\/((-84)\/(-2394))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 245345 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 56 = -44. Let c be (5\/15 + -1)\/(k\/2). Put 4, c, -2, 0.2 in ascending order.\nAnswer: -2, 0.2, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8*5\/(-10) + -8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128 = r + 5*v - 27, 0 = r + v + 89. Let k = 124 + r. Let i = 42 + k. What is the greatest common divisor of i and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*t**3\/7 + 712*t**2\/7 + 29884*t\/7 + 8136.\nAnswer: 4*(t + 2)*(t + 63)*(t + 113)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -83*t**4 - 51*t**2 - 46*t**2 - 35*t**4 wrt t.\nAnswer: -2832*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 + 7*l**2 + 2*l + 9. Let y(v) = 7*v**2. Let w be y(-1). Is n(w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -156, -2, 41, 222 in ascending order.\nAnswer: -156, -2, 41, 222","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 0 + -101012200?\nAnswer: -101012200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6 + 3)*(-2)\/3. Suppose 3*o = 4*v + 72, 0 = o - x*v + 7*v - 5. Let p be o\/(-8)*12\/(-5). Solve p*t + 21 = t - j, -4*j + 8 = -3*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 264*c - 269*c = 35. Let w = 0 + 0.2. Sort -5, w, c in descending order.\nAnswer: w, -5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -20\/3*v**3 + 0*v - 40\/3*v**4 + 0*v**2 + 25\/3*v**5 + 0 = 0.\nAnswer: -2\/5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 860\/(-86) - (-2 + 14).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 15) to base 8.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3730616?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -110a78d (base 14) to base 9.\nAnswer: -16210025","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 18\/5 of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = v - 2*f - 6, -3*v - 5*f = -41. Suppose 0 = 3*z - 32 - v. Let c = -70 - -77. Calculate the remainder when z is divided by c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.052 - 0.01. Let t = 0.052 - d. Let n = t + -2.01. Which is the closest to n? (a) -1.1 (b) -1 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 484439 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, 25, 18?\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 7*d**2 - 50. Let r(m) = -2*m**2 - 2. Let l(w) = -p(w) - 3*r(w). What is the remainder when 105 is divided by l(-5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 - 15*a**2 - 18*a - 8. Suppose 74 = -9*b + 7*b. Let x = b - -53. Let j be p(x). Round j to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -2\/13, -44\/5, 3993, 1 in descending order.\nAnswer: 3993, 2, 1, -2\/13, -44\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -420513 (base 6) to base 8\nAnswer: -102135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(3\/5)*k*k)\/(k**9*k*k))\/(k*(k*(k**(-4)*k*k)\/k)\/k)**(-4\/11) assuming k is positive.\nAnswer: k**(-502\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1745091867?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*c**2 + 4*c**2 - 42*c**2 + 9*c**2 + 10*c**2.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 2*p + 70 = 0, 85 = 3*f + f + p. Suppose 2*b - 184 - f = 0. Let i be b\/2 + 0\/1. Calculate the greatest common factor of 17 and i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-82)\/984*312\/195?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25 - 14. Let r(k) = -k**3 + 11*k**2 + 3*k + 13. Is r(s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -714242*r**4 + 13529177.\nAnswer: -2856968*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Is 74546459 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 5, s: 4, u: 5, x: 2, e: 3}. What is prob of picking 1 o, 1 x, and 2 u?\nAnswer: 25\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 136 is divided by 11.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 4 = -3*o - 23, 6 = -2*o. Suppose x*k - 209 = 223. Calculate the highest common factor of 9 and k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 10\/63, -0.1, -2.9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -80, 246, 1426, 3982, 8436, 15310?\nAnswer: 25126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*r**5 - 3*r**5 + r**5 + (4*r**5 + 0*r**5 - 2*r**5)*(-1 - 2 + 4).\nAnswer: -2*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - -3) + (-4 - 3) + 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44 + 13*b**2 - 44.\nAnswer: 13*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 3*r**5\/10 + 1439116*r**4\/5 - 9114452*r**3\/5 + 1822893*r**2 + 6715909*r\/10 - 959417 = 0?\nAnswer: -959417, -2\/3, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -89346 times 39?\nAnswer: -3484494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(847) - sqrt(847)) + 5 - 5*(2*sqrt(847) - sqrt(847)))**2.\nAnswer: 21175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 902 = -3*r, 0 = 4*r - 3*w + 6*w - 1210. Suppose -17*o - 2*o + r = 0. Solve -o*g + 20*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.9809 + 0.0191. Let o = -2.6 - -3. What is the smallest value in 5, y, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1163642, 9312164, 31429586, 74500358, 145508930, 251439752?\n\"Answer: 1164075*h**3 - 3*h - 430","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 304 and 684.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 + 13*m**2 - 34*m - 32. Let y be u(-15). Calculate the highest common divisor of 7 and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 6 = -b. Suppose 3*r + y - 10 = 9, 3*y = 5*r - 55. Let a be (44\/5)\/(r\/20). Calculate the greatest common divisor of a and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.367 + -3.033. Let d = 6.7 + -2.8. Let r = t + d. Which is the closest to -1? (a) -0.02 (b) 5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -140*v**2 + 4666 - 4666.\nAnswer: -140*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 347 - 1472. Suppose 2*t + 4*t = -t. Suppose g + 2 - f = t. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/18)\/((-9)\/81). Solve 0*a = n*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 98\/59, 2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 5*x + 30. Let o be c(-4). Let y(d) = -d**3 + 10*d**2 + 4*d - 2. What is y(o)?\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-4))\/(-6*7\/(-84)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -5*f**2 + 23. Let v(i) = -6*i. Give y(v(d)).\nAnswer: -180*d**2 + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -101001000012020 (base 3) in base 10?\nAnswer: -5334234","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -460491, -460492, -460493, -460494?\nAnswer: -460495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqpiwipiqiqwi. What is prob of picking 2 q and 1 p?\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-16))\/1*1\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1946*p = 2006*p - 1560 for p.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 56351 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d\/(d*d*(d*d**(1\/2)\/d)\/d)))**(-1\/13)\/(d\/(d*d\/d**3)*d*d**(1\/12)\/d))**(-3\/23))**(-16) assuming d is positive.\nAnswer: d**(-1372\/299)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67 is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 149941300 rounded to the nearest one hundred thousand?\nAnswer: 149900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 212 is divided by 72?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 46801 is divided by 363?\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g**3 + 2*g**3 - 2*g**3)*(3 - 1 - 1)*(33 - 32 + 30).\nAnswer: 62*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -259 or -261?\nAnswer: -261","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14 - -16. Suppose -x = -r*d + 3, 5*x + 3*d + 0 = -28. Let t be 19*-1 - (60\/4)\/x. Let o(c) = c**2 + 2. Let i(w) = 6*w**2 + 10. Give t*o(f) + 3*i(f).\nAnswer: 2*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -4167.28+2\nAnswer: -4165.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -24*j**2 - 784*j + 1. List the prime factors of q(-15).\nAnswer: 6361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 less than -0.7?\nAnswer: 6.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 6*n**2 - 3*n + 5. Is m(-14) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the second derivative of -y**5\/110 - 2*y**4\/11 + 128*y**3\/11 - 1792*y**2\/11 + 215*y + 3. Factor n(d).\nAnswer: -2*(d - 8)**2*(d + 28)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r + 5. Let p be a(-5). Suppose -72 = -5*b + 4*g, -3*g = -5*b - p*b + 69. Suppose -j - 6 = -l, -l - 5*j = 3*l + b. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*w**5 + 183*w**4 - 1635*w**3 - 6231*w**2 - 4410*w = 0. What is w?\nAnswer: -2, -1, 0, 15, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) 0.01 (b) -20 (c) -4\/235\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + 4*r = r. Suppose 6*d**2 - 24 + 35*d + r*d**2 + 20*d**4 + 17*d - 52*d**3 - 2*d**2 = 0. What is d?\nAnswer: -1, 3\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-971526*d + 971526*d + 2367*d**2 + (-1 - 1 - 1)*(0*d + 0*d - d**2))*((1 + 2 - 1)*(-d + 0*d + 4*d) - 5*d + 4*d + 3*d).\nAnswer: 18960*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 40 - 47. Let q = v + 10. Solve 0 = u + 3*o - 15, q*u + 3*o = -2*o + 25 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 4*z + 24 = 0. Let j = 8 - z. Calculate the remainder when 29 is divided by 27\/(j + 1) - -1.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*v**3 + 236310*v**2 - 168804*v - 67520 = 0. Calculate v.\nAnswer: -16880, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(-13)\/i)**(19\/6)\/(i\/i**21)**(-8\/3) assuming i is positive.\nAnswer: i**(-189\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 52\/11 (b) 2\/9 (c) -61\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + 219)*(1 - 5\/10). Let u = -765\/7 + r. Let k = 0.05 + -5.05. Sort k, u, 1 in descending order.\nAnswer: 1, u, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 530131039 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + m = 763, -5*j + 646 + 603 = -4*m. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -20*k + 146. Calculate p(8).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 AM and 10:21 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -789c06 (base 14) in base 10?\nAnswer: -4099150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 v, and 1 l when three letters picked without replacement from lklckllllllcvlcl?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 5*b**3 + b**2 - b - 1. Suppose -3*c - 14 + 26 = 0. Suppose 4*g - c*p + 6 = -2, 4*p = 4. Calculate h(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - -28. Suppose 4*n - 6 = s. What is the remainder when 34 is divided by n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 183154649 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/5 - 396*c**2\/5 + 52272*c\/5 - 2299968\/5.\nAnswer: (c - 132)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbhbbhbhbaabhpha. What is prob of sequence hphb?\nAnswer: 1\/312","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -60 - -62. Suppose -3*x = -z - c, -5*z = -x + 4 + 6. Which is greater: 4\/33 or x?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 2, q: 8}. What is prob of picking 3 q?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -37*v**2 + 224*v**3 - 4*v + 0*v**2 + 219*v**3 - 442*v**3 - 2 + 5*v**4 as p + n*v + y*v**4 + i*v**2 + b*v**3 and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 - -4. Let q = -1 + u. Let t(f) = 0*f - 2*f**2 - f - q + 6. Determine t(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 790162360 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*w + 1)*(4 - 2 - 4) - 12*w + 8*w - 11*w + 0*w + 3*w - 5*w + (0 - 4 + 2)*(-w + 0*w + 0*w).\nAnswer: -19*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-219 + 6)\/((-1)\/28). Suppose -13*v + 146 = -d. List the prime factors of v.\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of x**7\/1680 - x**6\/160 + x**5\/40 - x**4\/8 + 4*x**2. Let p(g) be the second derivative of y(g). Factor p(t).\nAnswer: 3*(t - 2)*(t - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/3 or 42.5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 + 52 = 2*v. Suppose -2*y + 4*k + 42 = 0, -2*y = -k + 2*k - v. Let w = y + -27. What is the closest to -1 in w, -1\/2, -0.3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103*l - 85*l - 16 = 38. Calculate the highest common factor of 3990 and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1355091.1 rounded to the nearest 100000?\nAnswer: -1400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 9 = -4*v. Let d = 4 + -2. Let b(x) = x + x**d - x + x. Determine b(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 152145 (base 8) to base 16\nAnswer: d465","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -179*l + 91. Let f be w(5). Let n = -801 - f. Solve 0 = 2*m - 2*v + 10 - 4, 0 = -4*m + v - n for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 + 909552?\nAnswer: 909551.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {i: 9, n: 7}.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 360506 + -389346383\/1080. What is the common denominator of w and 77\/1200?\nAnswer: 10800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2567 + -244?\nAnswer: 2323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 7311107 a multiple of 137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -59*r + 664. Let k(s) = s - 5. Let p(x) = -f(x) - 4*k(x). Find the first derivative of p(u) wrt u.\nAnswer: 55","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 3) in base 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 247 + 7. Let r be 68*2 - (-1 - 0). Let j = t + 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 y = -5 - -2. Suppose -7*c + 3*c = -4. Suppose 5*o + 8 = -2*n - c, 5*n = -3*o + 6. Sort n, y, -1 in descending order.\nAnswer: n, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-4)*36\/18?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 40 - 10. Let u = 33 + v. Does 9 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 12:34 PM?\nAnswer: 1:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 3*b - 31, 2*b + 0 = 2. Suppose 334 = 3*n + 331, g - 5*n = -4. Solve -l*t + 13 = -g for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes before 1:40 PM?\nAnswer: 7:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -28939143.97 rounded to the nearest one thousand?\nAnswer: -28939000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of -k**8\/26880 - k**7\/3360 + k**5\/120 + k**4\/3 - 10*k**2. Let w(g) be the second derivative of r(g). Let w(x) = 0. Calculate x.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 220 - 1?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + (5 - 2))\/((-1398)\/(-4194))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 5 (b) 286 (c) 1 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 212 or 211?\nAnswer: 211","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 751 - 751. Let t(n) be the second derivative of -13\/2*n**2 + 0 - 11\/12*n**4 - n + v*n**3. What is the derivative of t(s) wrt s?\nAnswer: -22*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 52 divided by -781\nAnswer: -52\/781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-10) - 155\/(-175). Factor 20\/7*k**3 + 20\/7*k**2 + 2\/7*k**5 + 10\/7*k**4 + y + 10\/7*k.\nAnswer: 2*(k + 1)**5\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 = -j + 6*r, 57*r - 27*r = 26*r + 1 + 7 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4779482 and 1156.\nAnswer: 578","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - 2. Suppose 3582 = 10*p + 3612. Which is the third biggest value? (a) t (b) -3\/8 (c) p (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 789 is divided by 176?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 88044 to the power of 1\/2, to the nearest integer?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 36 = -4*w, 4*w = l + 114 - 78 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 74*((-1)\/(-7))\/(166\/581).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 + 18.7. What is the biggest value in -2, -5\/6, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by 169\nAnswer: 8\/169","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 5 - 2)*(4 - 4 - 1) + 5 - 1 - 1 + 5 - 5 + 2)*(-5*w**5 + w**5 + 2*w**5).\nAnswer: -12*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 - 4*r**2 + 5. Let q be s(5). Let j = -14 + q. Calculate the greatest common divisor of j and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y**5\/17 + 28092*y**4\/17 + 168918*y**3\/17 - 4130968*y**2\/17 - 4497240*y\/17 + 8431200\/17 = 0.\nAnswer: -15, -2, 1, 10, 14052","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 13300?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -5*l + 24. Suppose x = f + l, -5*x - 18 = -43. Solve -q + 2*a = -14, 2*a - a = -q - f for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 2*w - 5. Let c be l(5). Let z = 2 - 4. Let f be 6\/15*(7 + z). Solve 3*y = 2*m - y - f, m = -y - c for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 4*i**3 - 2*i**2 + i - 2. Let r(p) = p**3 - p**2. Suppose -5*q - 3 = -13. Give q*r(b) - s(b).\nAnswer: -2*b**3 - b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the second derivative of 0 - q**3 + 20*q + 5\/3*q**4 + 0*q**2. Determine p so that w(p) = 0.\nAnswer: 0, 3\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-1380)*-23)\/((15\/(-8))\/3)?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.7839963856 - -4.784. What is v rounded to seven dps?\nAnswer: 0.0000036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2290, 4578, 6864, 9148?\n\"Answer: -v**2 + 2291*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -5*a + 23. Let s(y) = -2*y - 4. Let n(c) = -c - 4. Let g(t) = 4*n(t) - 3*s(t). Determine g(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -7. Which is the nearest to t? (a) -1 (b) 0.4 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/4*10\/(-15). Let u(j) = -3 - 2 + 2*j - l. Let f be u(4). Solve 0 = f*a - 7*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h + 4. Let v be x(-2). Suppose -3*a = -v*a + 490. What is a rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -463659, -927316, -1390973, -1854630?\n\"Answer: -463657*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 4 = -6. Let s(q) = -t*q + 2 - 5 - 4*q + 1. Calculate the least common multiple of 9 and s(-1).\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4215 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3*1 - -1)*-1. Suppose -2*y - 4*l - 2 + 50 = 0, -b*y - l = -33. Suppose -d - 7 = -m, -2*m - 5*d = -4*m + y. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -r**3 + 20*r**2 - 41*r + 90. Calculate j(18).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 3*j - 3*g - 46, 0 = -4*g + 4. Let y be ((-5)\/10 + 5)\/((-2)\/8). Let o = j + y. Solve 0 = o*h - 5*r - 12, -4*h - 2*r + 11 = -1 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 85*s - 1294?\nAnswer: 85","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 71215987 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 14 = -r. Let g(x) = -x**2 - 29*x - 98. Let f be g(-25). Suppose z - r = -4*z, f*z = 2*p + 17600010. What is p rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 80 and 1510.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 35 = 2*c - 4*z, -4*c = 5*z - 28. Let g(d) = 4*d. Let l(m) = 3*m. Let p(v) = c*l(v) - 5*g(v). Let y(b) = -4*b**2. Determine p(y(q)).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 26. Does 22 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 v when two letters picked without replacement from {v: 2, n: 3, e: 1, x: 1, f: 6}?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**5\/5 - 43*v**4\/5 + 606*v**3\/5 - 2862*v**2\/5 + 5859*v\/5 - 891 = 0. What is v?\nAnswer: -55, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 times -10.9?\nAnswer: 76.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 2) to base 14\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i - 4. Let l be x(-2). Let n be (l\/(-6))\/(8\/120). Suppose 6*k - n*k = 0. Are k and -2\/27 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - ((-41)\/8 + (-7)\/(-56))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jyyyyjyjyzhyfyyljj. What is prob of picking 1 f, 1 j, and 1 z?\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7290?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*i + 2*i + i)*(1 - 5 - 4) as t + u*i and give u.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 14, 2, -2, 0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14.2 + 17.2. Let x be ((-24)\/36)\/((-22)\/(-6)). Sort 0, b, x.\nAnswer: x, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -243202313 (base 5) to base 6\nAnswer: -40331052","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -2*x**5 + 8*x**4 - 4*x**3 - 15*x**2 - x - 5. Let h(m) = 3*m**5 - 9*m**4 + 3*m**3 + 15*m**2 + 6. Let f(j) = 5*h(j) + 6*k(j). Factor f(a).\nAnswer: 3*a*(a - 2)*(a + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -762, -764, -766, -768, -770?\nAnswer: -772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 7771*x**2 - 6*x + 84. Let o(p) = -22124038*p**2 + 17083*p - 239162. Determine 6*o(g) + 17083*w(g).\nAnswer: 7765*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 200*r**4 - r**2 - 231278*r + 141816685?\nAnswer: 800*r**3 - 2*r - 231278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 3*p**2 + 2*p - 2. Suppose 0*k + 4 = -2*l - 3*k, -2*l - 4*k - 4 = 0. Give m(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 471226, 942780, 1414334, 1885888, 2357442?\n\"Answer: 471554*k - 328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 3109900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -425*w + 75. Let z be h(-5). Suppose -19*b + z = -9561. What are the prime factors of b?\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -5*w - 9. Suppose 28 = -5*o + 8. Let f(i) be the first derivative of -i**2 - 5*i - 3. Let h(u) = o*g(u) + 7*f(u). Give h(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -2697, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 + 2*f - 2. Let z(n) = -3*n**2 - 6*n + 6. What is -7*c(j) - 2*z(j)?\nAnswer: -j**2 - 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, -14\/3, -2\/11, -1, -133?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 3) to base 12\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*w + 39*w - 188*w - 14*w**2 + 28*w.\nAnswer: -14*w**2 - 113*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 3*f - 33. Let k be y(10). Suppose 4*s - 3600000 = 3*s. Let c be (12\/9)\/(k\/s). What is c rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1081137 and 41775?\nAnswer: 1671","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2205, 4700, 7181, 9642, 12077, 14480?\n\"Answer: -h**3 - h**2 + 2505*h - 298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 36*d*i**3 + 2*d*i**2 + 458328*d*i - 2*d + 41934*i**3 wrt i?\nAnswer: 216*d + 251604","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 171357?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of f**4*j - 79*f**4 + 6*f**3*j + 10*f**3 + 11600*f**2*j + 8*f**2 wrt f?\nAnswer: 24*f*j - 1896*f + 36*j + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 29780 and 10480.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 87887.03 years in decades?\nAnswer: 8788.703","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -32361\/20852 smaller than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 7.859462 kilograms?\nAnswer: 0.007859462","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 173 = 3*d - 5*r - 2, -3*r + 135 = 3*d. What is the remainder when d is divided by 19?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.1 and 0.042067?\nAnswer: 0.057933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/12*3*10\/12\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 21484847 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228) + -2*3*sqrt(228) + sqrt(228))\/(-4*sqrt(12)*1) - (2 + 3*sqrt(684)*2 + 4))**2.\nAnswer: 420*sqrt(19) + 23311","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 5*h**2 - 10785*h + 118030 = 0.\nAnswer: 11, 2146","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2222 is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 + 1 + 402 + 0 + -3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 16 = 5*o, -5*o + 5 - 13 = 2*g. Suppose o = 4*z - 19 + 15. Calculate the lowest common multiple of (-18 + 20)*(z + 1\/2) and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*v**2 + 824*v - 24480.\nAnswer: -4*(v - 170)*(v - 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 149399965 divided by 2899?\nAnswer: 51535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0, -6, 10\/13, 4 in descending order.\nAnswer: 4, 10\/13, 0, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-220*w - 189*w + 88021*w**3 - 188*w + 783*w - 189*w)*(2 + 2*w - 2) to the form h*w**4 + u*w + x + n*w**2 + r*w**3 and give n.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 138, -831, 30 in ascending order.\nAnswer: -831, 30, 138","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4 (b) 2 (c) -0.05 (d) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2015 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 72 and 99.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y + 2. Let j be b(-4). Let t = 3 + j. What is the closest to 1 in t, -0.2, -3\/4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2 - 1389324672*y + 241277880528488448.\nAnswer: 2*(y - 347331168)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 2 = 4*v, -1 = -28*l + 29*l - v. Solve -3*g - h + 1 = 0, g + 4 = l*g + 4*h for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25884 + 25890. Which is the nearest to -0.5? (a) 3 (b) v (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9083*r**3 - 3965*r**2?\nAnswer: 54498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l + 2. Suppose -3*a + 0*a + 216 = 0. Suppose 0 = 5*m - 2*c - a, -2*m = 2*m - 2*c - 56. Calculate the lowest common multiple of 10 and d(m).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yk when two letters picked without replacement from {k: 2, y: 2, l: 1, j: 1}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**15*z*z)\/z*z**28*z*z*z*z**(6\/11)\/z*z*z*z\/(z\/(z\/(z*z*z*z**(-1\/7)*z))) assuming z is positive.\nAnswer: z**(1285\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*p = 347*p + 469*p + 363*p + 3852 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*m**2 + 416*m - 1728.\nAnswer: 4*(m - 4)*(m + 108)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 PM and 4:01 PM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4887547*q**2 - 14647983 wrt q?\nAnswer: 9775094*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 88*k - 1859 = 53*k. Let p = 283\/5 - 4449\/65. Which is smaller: k or p?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 2*z = -231. Suppose -2*v + 4 = -6. Suppose -2*i = -4*a - v - 21, -i - 5 = 4*a. Calculate the highest common factor of i and z.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 281*v**5 - 6*v**2 + 143*v**5 - 7634 + 7632 wrt v.\nAnswer: 25440*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 7, j: 3}. What is prob of picking 2 j?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 24\/(-14)*1*(-56)\/36. Let h(m) be the first derivative of -8\/3*m - 1\/6*m**4 - s*m**2 - 4 - 10\/9*m**3. Find o, given that h(o) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 2 - 19 = k, -4*p + 3*k = -27. Let c be 0 - 3 - (-1 + p). Suppose 0 = -100*q + 373 - 73. Put 5, c, q, 0 in increasing order.\nAnswer: c, 0, q, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of 1\/3*x**3 - 3\/8*x**2 + 0*x - 1\/16*x**4 + 2. Factor g(v).\nAnswer: -v*(v - 3)*(v - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4736147 at least as big as 4736147?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8011691\/2891472 - -2\/60239. Find the common denominator of i and (-2)\/(120\/538) - -3.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4220?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 3*j**2 + 1. Let y be r(1). Let k be y\/14*(-7)\/(-4). Let d = 172\/115 + -16\/23. Sort d, k, 2\/21 in descending order.\nAnswer: d, k, 2\/21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6006597.63 less than 115.9?\nAnswer: 6006713.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 62\/3 and -27\/27083.\nAnswer: 81249","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -p + 5*t - 9, 50 = 4*p + 2*t. Suppose -2*o = -3*r - p, 0*r + 4*r = -5*o + 3. Suppose 0*s - o*s + 84 = 0. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2 and 1109313.937049.\nAnswer: 1109313.737049","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1528, 4, 14 in decreasing order.\nAnswer: 1528, 14, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 5*n + 21, x + 0*x - 14 = 2*n. Let q(r) = -2*r - 10 + x + 6. Let y(s) = 2*s**2 - 2 + 2. What is q(y(d))?\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 46*f - 105 - 125. Let s(b) be the second derivative of 0 + 0*b**3 - 1\/30*b**4 - 1\/50*b**f + 0*b**2 - 5*b. Factor s(u).\nAnswer: -2*u**2*(u + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*i + 6*i + 56. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/2282705 and -27\/57790.\nAnswer: 4565410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do -9344 and -7991 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**7*d)\/(d*(d**(7\/5)\/d)\/d*d))\/(d**(5\/7)*d\/((d\/((d\/(d*d**23))\/d))\/d)) assuming d is positive.\nAnswer: d**(1011\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 1 - 2 - 1 + 2 + (-1 + 0 + 3)*(3 + 1 - 2))*(5*b + 2*b - 6*b)*(b**2 - 3*b**2 - 2*b**2).\nAnswer: -8*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 - 12*n**2 - 21*n - 41. Calculate v(-9).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6535 - -6541. Let p be 2*4 - (-2)\/1. Calculate the lowest common multiple of (1*p)\/((-1)\/(-1)) and v.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 64 + (-9 + (16 - -17) - 17 - (5 - -8))?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/12 and 34\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y**2 - 2*y + 8. Let o(s) = s**2 + s + 1. Let q(r) = r**3 - 3*r**2 - 4*r - 1. Let p be q(4). Let x(g) = p*c(g) - 3*o(g). What is x(0)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4038 or -3986?\nAnswer: -4038","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72 and 282?\nAnswer: 3384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -210 = -5*g - 80. What is the common denominator of 47\/6 and g\/5 - (-66)\/(-110)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 46761.85 decades to centuries.\nAnswer: 4676.185","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m + 4*m + m + 8 + m.\nAnswer: 7*m + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a kilogram in grams?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - 2534035?\nAnswer: -2534042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6222949 is divided by 222244.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a + 96 = -3*a. Let k be (-1)\/4 - (-78)\/a. Find the second derivative of 3*f**2 - k*f - f + f wrt f.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -553 by 1.\nAnswer: -553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 1 = -3. Let k = r - -8\/5. Which is the second smallest value? (a) 0.1 (b) k (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -34\/39 or 0?\nAnswer: -34\/39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -9. Let s(d) = -3*d + 37. Let a be s(15). Calculate the remainder when ((-60)\/a - -2)*2 is divided by m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 2*h**2. Let i(r) = -9949*r. What is i(s(p))?\nAnswer: -19898*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -134.418676 rounded to two decimal places?\nAnswer: -134.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 10301 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(768) + sqrt(768) + (sqrt(768) - -2*sqrt(768) - sqrt(768)))\/(sqrt(486)*-2))\/((sqrt(3072)*1 + sqrt(48))\/((sqrt(144) + sqrt(36))\/sqrt(3))).\nAnswer: -8*sqrt(2)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -6*s. Let i(x) be the second derivative of -x**3\/6 - 26*x. Calculate h(g) - 3*i(g).\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141*r**5\/5 + 8748*r**4\/5 - 115992*r**3\/5 - 655806*r**2\/5 + 795861*r\/5 - 6534 = 0.\nAnswer: -5, 2\/47, 1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4565.401cm to micrometers.\nAnswer: 45654010","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -q**3*z + 7*q**3 - 2*q**2*z - 144*z + 2 wrt q.\nAnswer: -3*q**2*z + 21*q**2 - 4*q*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r + 12. Let i(k) = -1. Let u(o) = c(o) + 2*i(o). Let n be u(6). Suppose -5*l = w + 14 + 1, n*l + 41 = 5*w. What is the nearest to 0.1 in 2, l, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*g**4 - 2 - 74300*g + 2*g**3 - g**2 + 74300*g as s*g**2 + c*g**3 + i*g**4 + x + p*g and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of -20*l**3 - 15 + 0*l + 10*l**2 - 6*l**5 + 65\/4*l**4 + 5\/6*l**6. Find h, given that a(h) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.04 and -9007.76.\nAnswer: -360.3104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.38 + -1.38. Let h = 0.11 - 5.11. What is the nearest to f in h, -0.2, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.73, 2, 1, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -10403232 divided by -15481?\nAnswer: 672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -548.559 + -0.441. Let q = z + 539. What is the third smallest value in 1\/5, -4, q, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 701389573?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = 2*h - 14, 4*c - 26 = h - 20. Factor 0 - 4\/3*w + 0*w**h + 1\/3*w**4 + w**3.\nAnswer: w*(w - 1)*(w + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1 (b) -4 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 41.338598 days in weeks?\nAnswer: 5.905514","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -7867790 divided by 70\nAnswer: -112397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*a**3 - 14 - a + 17 + 387*a**2 - 394*a**2 + a.\nAnswer: -6*a**3 - 7*a**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*h*n**3 - 6528816*h*n**2 - 14*h + 468386 wrt n?\nAnswer: -6*h*n**2 - 13057632*h*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 - -4 - (-126)\/2. List the prime factors of (-6)\/(-10) - u\/(-10).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 11*k + 77. Let f be y(-7). Solve -4*b + 8 = -f*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(3\/4))**(-6\/5))**(-24) assuming v is positive.\nAnswer: v**(108\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 269058110.1 rounded to the nearest 100000?\nAnswer: 269100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 21*z**2 + 8*z - 15. Suppose 6 = 3*x - 6. Let b be j(x). Suppose 10*c - 907 = b. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s + 16. Let y be t(-8). What is the common denominator of ((-18)\/y)\/(42\/(-161)) and (-74)\/(-10)*(-10)\/(-12)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 23929400 to the nearest one hundred thousand.\nAnswer: 23900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 171 - (6 - 4) - -5?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (20*n - 85*n - 96*n)*(2 - n**3 - 2) + (-2*n**3 + 1 - 1)*(-n + 0*n + 0*n) + 0 + n**4 + 0 to f*n + c*n**2 + j + y*n**4 + r*n**3 and give y.\nAnswer: 164","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:49 PM and 8:08 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 2*h - 2*f, -352*h + 357*h = -3*f + 6 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -5*m**2 - 44*m + 581. Determine s(-16).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -2*y - 12. Let f be -1*(0 + y*22). Suppose -f = -5*p + p. List the prime factors of p.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-5 + sqrt(128)*-1 - (1 + sqrt(128))*-3 - ((sqrt(128) - (-1 + sqrt(128))) + 3 + -3)))**2.\nAnswer: -192*sqrt(2) + 548","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 + (-17 - (-39 + -7)) + -6?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9 + -2338221.1.\nAnswer: -2338230.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum -364841 and 0.53987.\nAnswer: -364840.46013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42233880 divided by -8446776.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0447514 rounded to 4 decimal places?\nAnswer: 0.0448","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 5*u + 109. What is n(-21)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-27)\/1080*16 + 0 + 67\/15 and 64\/305?\nAnswer: 915","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/1 - 1\/(-1). Let j be ((-3)\/b)\/3*15. Suppose z + 69 = 4*h - 4*z, -j*h + z = -81. Is 13 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*d**2 + 0*d**2 - 3*d**2)*(3 - 3 - 4)*(-570 + 1487 + 879)*(d + d + 0*d)*(0 + 0 + 3*d) to n*d**4 + r*d + g*d**2 + i + t*d**3 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + f = -7, 42 = 4*h + 3*f + 52. Which is the closest to h? (a) 5 (b) 2.1 (c) 0 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -15*i - 3. Let v(a) = -7*a - 2. Let b(d) = -6*l(d) + 13*v(d). Let c be b(-6). Let x be c\/(-4 + 28\/6). Sort x, -2, 0, 4 in increasing order.\nAnswer: x, -2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 2*n - 48 + 9, -4*z + 59 = 5*n. Let g(t) = 2*t**2 + 3*t - 4. Let r be g(-3). Suppose -14 - z = -r*x. Let f(d) = -d + 1. What is f(x)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4205785.\nAnswer: 5, 841157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17.8 + 13.8. What is the biggest value in m, -0.06, -1?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 673 is divided by 45?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.55 * -259.\nAnswer: -142.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ep when two letters picked without replacement from aipgppgeeeepppaeae.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*h + 97 = -155. Suppose h*y - 11*y - 28 = 0. Which is smaller: y or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iaiaaaiiiaiia. Give prob of picking 4 i.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-18)\/(-27))\/(4\/84). What is the third derivative of m - 80 - 103*t**2 + 104*t**2 - 6*t**3 wrt t?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(2\/3))**(9\/5)*(c\/c**(-1\/8))\/((c*c**(-8\/7))\/c)*((c**(-1)*c)**(24\/5))**(-2\/5) assuming c is positive.\nAnswer: c**(803\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 15063863398 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1584) - (sqrt(1584)*-5 - sqrt(1584))) + -3)**2.\nAnswer: -504*sqrt(11) + 77625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -7*y**2 - 199*y + 3. Calculate d(-28).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -30 + 29.9. Sort 17, w, 0.2 in descending order.\nAnswer: 17, 0.2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -53*k + 157. Give m(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 4, m: 7, a: 4}. What is prob of sequence mmap?\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 47 + 35892?\nAnswer: 35939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*c**4 - 3*c**4 - c**4 + (-c**2 - 2*c**2 + c**2)*(1 + c**2 - 1) - 2*c**4 - 3*c**3 + 3*c**3 - 3*c**4 - 3*c**4 + 5*c**4 + c**3.\nAnswer: -4*c**4 + c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 381040779?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-425*x - 226748 + 226748)*(-4*x**4 + 0*x**4 + 2*x**4) + 3*x**5 + 0*x**5 - 2*x**5.\nAnswer: 851*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 15*w + 85. Let r be y(-6). Let o(f) = -f**3 + f**2 - f - 1. Let x(t) = 6*t**3 - 6*t**2 + 3. Let p(a) = r*o(a) - x(a). Give p(-3).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*q**4 - 2*q**4 + q**4)*(-30022 + 24353 - 40702) to the form k*q**3 + b + r*q + w*q**2 + n*q**4 and give n.\nAnswer: -92742","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -3*s - 4. Let k be y(-3). Let u be 22\/k + (-6)\/15. Solve 5*l = 5*w, -3*w + l - u*l - 12 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 8) to base 9\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1264*o - 13 - 1262*o + 2.\nAnswer: 2*o - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -3.1 (b) 3\/5 (c) -5 (d) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 1:43 AM?\nAnswer: 8:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10\/2 + (-1 - -1). Suppose -30 = -2*z + t*a, a + 12 = -2*a. Suppose -5*c + z*i = -30, -10 = -5*c + 4*c + 5*i. List the prime factors of c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 202*w - 205*w - 5*d = -56696, w - 2*d - 18917 = 0. What is the tens digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3124 - 332303221?\nAnswer: -332300042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1314\/15 + (-6)\/(-15). Suppose 5*o = -j + 101, -3*o - o + j + u = 0. What is the remainder when 26 is divided by 0 - (o*2)\/(-3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1060*j**4*s**2 - 982*j**3*s**2 - 4*j*s**2 + 1538491*j*s wrt j.\nAnswer: -12720*j**2*s**2 - 5892*j*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 4*n**3 - 2*n**2 + n - 1. Let r be w(1). Calculate the common denominator of -115\/56 and r*(-3)\/(-2) + (-154)\/20.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -17, 2\/209, -1\/2, -1\/5, -3\/4?\nAnswer: 2\/209","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -739.7495 and -191.\nAnswer: -930.7495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (438\/(-7008))\/(13\/((-2548)\/(-21)))\nAnswer: -7\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 30563 or 30564?\nAnswer: 30563","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-181)\/((-1726197)\/(-306)))\/(2\/(-22)).\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -3970 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 54331767*w + 335538643 wrt w?\nAnswer: 54331767","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*g - 21*g**2 - 5*g**3 + 2*g + 9*g + g**3 - g - 2*g**4 wrt g?\nAnswer: -48*g - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1252.86 to the nearest integer.\nAnswer: -1253","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 314 a factor of 2463178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8.7 + -2.4. Let x = -6 + z. Let h = x - 0.27. Round h to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((288\/(-20))\/(-4))\/(148\/(-370))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8\/15 + 2\/15*v**2 - 8\/15*v.\nAnswer: 2*(v - 2)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 1 + 1)*(1 - 4 + 1) + 3 + 1 - 3)*(-280*w**3 - 253*w**3 + 189*w**3).\nAnswer: -1720*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a + 15 = 17*r - 13*r, -3*r - 5 = a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/((-40)\/148) - 2\/(-4). Let q = x + 33. Solve -r + q = 2*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 11013959?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-612)\/102)\/(3*-2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1141411 (base 5) to base 16.\nAnswer: 53e9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b - 10. What is h(-13)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.02 - -0.42. Let a = -0.2699 + 0.3599. Sort j, a, 0.5, -4\/5.\nAnswer: -4\/5, a, j, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 449500578 to the nearest integer?\nAnswer: 766","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (30 + -9 + 4 + 6).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 3 = -0*w - 3*l, -3*l = -4*w + 10. Does 22 divide 1\/w - 87\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the third derivative of -l**4\/24 + 206*l**2. Let v(q) = -3*q**2 + 87*q. Determine m(v(x)).\nAnswer: 3*x**2 - 87*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 829*t - 16 = -834*t, 2*t = -12*v + 28 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of -i**7\/35 + i**6\/30 + 139*i**4\/24 + i**3\/3 - 2*i**2 - 299. Find the second derivative of t(l) wrt l.\nAnswer: -72*l**2 + 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -4*d + 77, -d - 49 = -2*t - 2*t. Let a = 63 - t. Is 50 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147571 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = 2*f - 4. Let d = f + -2. Suppose -3*z + 6*g - g = -87010, d = -z - 5*g + 28990. What is z rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1962, 1934, 1910, 1890, 1874, 1862?\nAnswer: 1854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.943, 1.84372, -1\/2.\nAnswer: -0.943, -1\/2, 1.84372","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 2 - 5 = 2*d, -3 = j + 3*d. Let w be (-21998)\/10 - j\/15. What is w rounded to the nearest one thousand?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 3*b = 461. Suppose 0 = k - n - 225, -5*n - 218 = -3*k + b. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9242500.\nAnswer: 2, 5, 3697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-53)\/((-8162)\/8736) + -58?\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -138, 0.2, -5, -2, -0.0542 in decreasing order.\nAnswer: 0.2, -0.0542, -2, -5, -138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to -2\/767087?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67526 is divided by 184.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 174844?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -3*w, 9 + 1 = 2*s + 2*w. Find the third derivative of p**s + 0*p**3 - 8*p**3 - 5*p**2 - 5*p**2 wrt p.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = 3*h - 9*h. Let y = -1 + h. Factor 8\/7*m**2 - 16\/7*m**y - 2\/7*m**5 + 10\/7*m**4 + 0 + 0*m.\nAnswer: -2*m**2*(m - 2)**2*(m - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 1 + 0)*(37*r + 46*r - 120*r + (-2 + 1 + 0)*(r - 2*r + 0*r)) to the form o + h*r and give h.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -3*m - 3. What is k(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 4 + a + 1 - 4 + 6. What are the prime factors of s(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1104578692?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/15 - 16\/10)*-1. Suppose -j - c = 2*j - 9, 0 = h*j - 5*c - 6. Solve 8 - j = -5*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -34990*i**4 - 30740 with respect to i.\nAnswer: -139960*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 503235 (base 8) in base 16?\nAnswer: 2869d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -300201041 (base 5) to base 11\nAnswer: -735286","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*b - 10*b + 6*b)*(2*b + 0*b - b) + (-5*b + 2*b + b)*(-b + b + 5*b))*(4*b**3 + 1 - 1).\nAnswer: -64*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -299?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*s**3 - 39*s**3 + 86*s**3.\nAnswer: 12*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 704 and 198?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 11 + c656?\nAnswer: c667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 4, -7, 133, 1\/3, -5 in descending order.\nAnswer: 133, 4, 1\/3, -2\/7, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**2 - 6*d + 3. Suppose 0 = 3*t - 2*w + 16, -5*w = -6 + 11. Let u be j(t). Solve -u*z + 4*a - 11 = 3*a, -4*z - 16 = -2*a for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/18235230 and -12\/91.\nAnswer: 127646610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/((-2*1)\/(-2)). Let z = 0.3 - 0. Let i = -19 + 131\/7. Which is the nearest to i? (a) 0.1 (b) z (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 3*o - 80. What is the remainder when 115 is divided by o\/(-6)*(-54)\/24?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/133 and -65\/63.\nAnswer: 1197","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, 112.7 in descending order.\nAnswer: 112.7, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, r: 3}. What is prob of picking 4 i?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 2*f = -6, -3*b + 6*f = f + 8. Suppose -4*j - 34 = -5*j - v, -60 = -2*j - 4*v. What is the remainder when j is divided by (b\/((-5)\/6))\/(21\/350)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-m + m - 3*m)*(4 + 0 + 3) - 5*m + 4*m + 3*m)*(-2*m - 3*m + m)*(1 + 1 - 3)*(0 - 2 - 1)*(0 + 1 + 1) to b*m + v + g*m**2 and give g.\nAnswer: 456","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 39214827 to the nearest integer?\nAnswer: 6262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-3)*2*(-11)\/22*-1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 13, -88?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -59*j**2 - 5*j - 2. Let g be n(5). Let q = -48353\/20 + 2419. Calculate the common denominator of q and 4\/22 + g\/396.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 824861 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 21732988?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 + 29 = -11*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1930 divided by -7311?\nAnswer: 1930\/7311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 2964444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3631 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -845744747 by -6.\nAnswer: 845744747\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 560228295 and 11825.\nAnswer: 2365","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of -2*c**5 - 36*c + 83. Find the first derivative of r(x) wrt x.\nAnswer: -40*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 222 to the power of 1\/2, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12891345.\nAnswer: 3, 5, 859423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 - 0 - 3\/(-1). Calculate the remainder when 27 is divided by ((-28)\/(-12))\/(t\/(-3)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*m - 348 = -73*m - 4*v, -2*m - 5*v - 7 = 19 + 16 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 b when two letters picked without replacement from ryllpybyyuly?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 598?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3191.\nAnswer: 3191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 27*v - 17. Suppose 0*u + 2*u - 6 = 0. Let s = 8 - 6. Solve -u*t + 18 = -l, -t - 3*l + s*l = -v for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (2*sqrt(228)*2)\/sqrt(12) + -4 + (-1 + (1*sqrt(2299) - sqrt(2299)) + (1 + sqrt(475))*5)**2.\nAnswer: 204*sqrt(19) + 11882","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -37 in 24, -5, 0.2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, 2\/5, 4, -0.5, 2.\nAnswer: -0.5, 2\/5, 2, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1282 divided by -155707.\nAnswer: 1282\/155707","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 832132 is divided by 2405.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -48*z**4 + 336*z**3 + 2883*z**2 - 21*z - 180 = 0.\nAnswer: -5, -1\/4, 1\/4, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 + 5*m**2 - 3*m + 5. Let z be (-26)\/(-7) + 4\/14. Let g be f(z). Solve -2*q + b + 1 = 0, 7*b + g = 4*b for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-109400)\/(-2735)*34\/16.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + s = -207, -1 - 4 = -5*s. Let y be (-22)\/(-33) - j\/6. Suppose -10 = 4*z - y. Solve i - 4*h - 23 = -5, -2*i + z*h + 6 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 843671 to the power of 1\/2, to the nearest integer?\nAnswer: 919","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((12\/70)\/(51\/85))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 42 - 70. Let v = t + 46. Suppose 3*i = 5*w + 23, 0 = i + w - v - 3. Does 16 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1464 * 5.497.\nAnswer: -0.8047608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -438*d + 97. Let v(k) = -510*k + 95. Let s(m) = -7*i(m) + 6*v(m). Determine s(19).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rfl when three letters picked without replacement from rnlfidd?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 90432 a multiple of 157?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98*y + 295*y - 91*y - 100*y - 5*y.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10296 and 531960?\nAnswer: 1595880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*v**2 + 178*v**2 - 36*v**2 - 43*v**2 - 28242*v**3 - 45*v**2.\nAnswer: -28242*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 95701 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2223 + -1163. What are the prime factors of v?\nAnswer: 2, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2186947 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17433888 and 1824.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 378052679?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -85 + 90. Suppose -d - t = 3, -3*d = -2*d - g*t + 15. Suppose -25 = 5*z - 5. What is the second smallest value in d, z, 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of -517*u**6\/120 - 27*u**5\/10 + 85*u**2 + 2*u. What is the third derivative of o(q) wrt q?\nAnswer: -3102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*i - 4 + 4 + 2*i - 2*i - 2*i + i + 1 - 1 + (-2 + 0 + 4)*(i - 2*i + 0*i) + 3 - 2*i - 3 - i + 5*i - i to t + c*i and give c.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - ((7 - 0) + (0 - 0) - 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (b + 2*b - b)*(-b - 3*b + 0*b)*(-1 + 5 - 2)*(1 + 4 - 4) to the form p + x*b**2 + q*b and give x.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12 + 4 + -3 - (8 + 3 + -5).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24915*k**2*o*x**2 - 7*k**2*x**2 + 27*k*o*x - 7*k*o + 4*k + 5*o + 4*x**2 wrt k?\nAnswer: -49830*o*x**2 - 14*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(27) + sqrt(243) + sqrt(27))*4)\/(-2*sqrt(441) + sqrt(441)) + -4.\nAnswer: -20*sqrt(3)\/7 - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 5*i**2 + 2*i - 1. Suppose -191 - 87 = -2*l. Suppose -l = -4*p - 3*z, -168 = 3*p - 8*p + 2*z. Calculate the remainder when m(5) is divided by p.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32 - 79. Let j = -548397645 + 548397691.9999949. Let x = g + j. Round x to six dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k + 15 + 19 - k + 29.\nAnswer: k + 63","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 5639 and 7615 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -105.\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -5*j + 745. Suppose j = 5*a - 550. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m - 2 = 8*m. Let i(k) = 4*k**2 + 0*k**3 + k**3 - 14*k**2 - 7 + 0*k**m + 10*k. Let y be i(9). Solve -3*n + 13 + y = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 z, and 1 u when three letters picked without replacement from {c: 1, u: 2, q: 2, l: 1, z: 2}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27805295 and 217?\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -75, -102, -135, -174, -219, -270, -327?\nAnswer: -390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12 - 21?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -40*u**2 - 14*u. Let r(s) = 6280*s. What is r(g(t))?\nAnswer: -251200*t**2 - 87920*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 4*f + 8. Let z(s) = 46*s - 2. Give z(i(n)).\nAnswer: 184*n + 366","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001674 to six dps.\nAnswer: -0.000167","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of -2 + 1\/3*j**3 + 4*j + 4*j**2. Let t be ((-13)\/((-91)\/(-84)))\/(6\/4). Calculate l(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 466 + -460. Solve -3*z + 9 = 0, -y - 4*z + z = -q for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 12 + -8 + 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 188*x - 194*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/10 - 252\/(-70). Suppose -3*h - a*n = -0*h - 45, -h + 4*n + 31 = 0. What is the highest common divisor of 76 and h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 14 + -11. Solve -l*x - 3 = 6 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29 + (31 + -61 - -20) + (0 - -1)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1220021 + 111011221?\nAnswer: 102021200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (3 + -4 + 1)) + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52 and 1034527?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 73722059 to the power of 1\/2, to the nearest integer?\nAnswer: 8586","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:58 AM and 6:49 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = 4*n - 4, -3*u = -5*n + 2 + 4 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11154*l*p + 8493*p wrt l.\nAnswer: 11154*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7208)\/1020 + 4\/6 - -7?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 15 - 12. Suppose 3*s - 4*u - 14 = 2*s, k*u + 9 = 0. Find the third derivative of p**2 + 19*p**2 - 9*p**s + 7*p**6 - 4*p**2 wrt p.\nAnswer: 840*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -593 - -592. Let a(k) = -k**3 - k**2 - k - 1. Let u(c) = 5*c**3 + 5*c**2 + 5*c + 3. Calculate w*u(v) - 3*a(v).\nAnswer: -2*v**3 - 2*v**2 - 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -300400 + 12422?\nAnswer: -254645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -2*u**2 + 158*u - 148. Let n be i(41). What is the highest common divisor of n and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*s**3 + s**2 - s**2 + 7 - 2*s**3 - 7 + (-2 - 3*s**3 + 2)*(5 - 4 + 0).\nAnswer: -8*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 970 - 5023\/5. Let j = -35 - z. Let l = -53 - -53.06. What is the closest to l in 5, -1, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2623, -5246, -7869, -10492, -13115, -15738?\n\"Answer: -2623*v","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -130 + 909\/7. Put 1\/5, 2, d in decreasing order.\nAnswer: 2, 1\/5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2967*p**3 + 6900*p**3 - 3949*p**3.\nAnswer: -16*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.00691 - 2218.49309. What is p rounded to the nearest 10?\nAnswer: -2220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.2 and -189137.113.\nAnswer: 37827.4226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 6*q = 4. Let t(w) = -63*w - 45. Let l be t(-1). Put l, -3, q in decreasing order.\nAnswer: l, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2\/7)\/o)\/o)**(2\/25)\/(o**(2\/11)*o**0) assuming o is positive.\nAnswer: o**(-702\/1925)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/50 of a milligram?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 - 62*y**2 + 88*y - 5442. What is a(62)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 281 = 2*y, -3*b + 3*y + 278 = 2*y. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -9*r**2 + 1. Let p(j) = 51*j**2 + 699*j - 6. Determine -p(o) - 6*v(o).\nAnswer: 3*o**2 - 699*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*l + 4 + 34. Suppose -l*b + 62 + 130 = 2*x, -5*x - 120 = -b. What is the least common multiple of 12 and b?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 48 + -48. Suppose h = 55*p - 57*p + 754. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 divided by 28411?\nAnswer: -11\/28411","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 480 = -4*r. Let i = r + 216. Suppose -h = 4*h - i. What is the highest common factor of h and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -3*c - 11, -18 = -c - r - 2*r. Suppose -c*x + 13 = 1. Let y = x - -1. Solve -4*m = q - y, -4*m = -0*q - 3*q - 17 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 PM and 6:58 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.017*-281.\nAnswer: -4.777","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b + 22. Let l = -49 + 32. Let p be w(l). Solve 7 = t - p*z - 14, -5*t = 5*z + 45 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6945 + 7023. Calculate the highest common divisor of w and 82.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 5) to base 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of n**5\/12 - n**3\/6 + 7*n**2. Let a be x(-1). Solve -2*w + 7*w = i - a, -w + 4*i = 16 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 80 = -45. Solve 21 = -5*w + 4*w + 5*n, w + f = n for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1406277+20879.2095\nAnswer: -1385397.7905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 15 = 3*z, 4*i = -0*z + 5*z + 2. Suppose 9 = 4*a - 3. Suppose -5*m = -25 + 5. Solve m*n = -i*o + n, -o = a*n for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26279 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 7, q: 2, d: 2}. What is prob of picking 2 q?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 274510 is divided by 2467.\nAnswer: 673","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 10207 - 10199. Solve -4*p - 20 = 5*v, -6*v - f = p - 4*v for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 8\/2 - 16\/8. Suppose -x*s + 12 = 4. Suppose -4*f = -2*j - 12, s*j - 12 = -4*f - j. Put f, -10, -2 in ascending order.\nAnswer: -10, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/6*-15 + 7. Put -2, -3, 1, x in decreasing order.\nAnswer: x, 1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14767 - 5306. What are the prime factors of o?\nAnswer: 9461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (14\/(-4) - -3)\/(25\/(-200)). What is the least common multiple of 80 and u + -3 + 103 + -8?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1894629, 1894625, 1894621?\n\"Answer: -4*n + 1894633","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -77 - -24. Let t = 55 + r. Suppose w = -5*s + 4*s + 24, t*s + w - 49 = 0. Solve -4*z + 9*z = s for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 0.6. Let n = -0.2 - -0.2. Which is the nearest to n? (a) -0.3 (b) 2\/19 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/32056*2)\/(9\/36). Let t = r + 364661\/48084. Find the common denominator of t and 23\/14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -41032 or -3633?\nAnswer: -3633","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in -1695, 2, -1\/187?\nAnswer: -1\/187","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -16*o**2 - 14*o - 14. Let u = -20 + 30. Let f(z) = -z**2 - z - u + 7 + 2. Let h(g) = -28*f(g) + 2*y(g). Let m(x) = -x**2. Determine m(h(q)).\nAnswer: -16*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1572607 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the first derivative of 7*a - 7\/2*a**2 + 94 + 1\/3*a**3. Determine s(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -39 + 5 + 32 + (0 - -9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t - 1. Let c be g(0). Let d(a) = -a - 1. Let h(v) = -5*v - 7. Let q(p) = c*h(p) + 2*d(p). Suppose 3*s + 2 = -10. Determine q(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -70*s + 1. Is b(-1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18\/16*(-168)\/(-252)*-8\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 164, 145, 118, 83, 40, -11?\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -500?\nAnswer: 1\/100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -0.97 (c) -5 (d) 3\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*k**4 - 3*k - 4*k**4 + 2*k**4 - 194*k**3 + 103*k**3 - k**2 + 101*k**3 - 2 to the form u + z*k**3 + m*k**2 + q*k + x*k**4 and give z.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 762030?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1991*u + 154715 = 7844*u - 38434 for u.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 + 2*t. Let z be j(1). Let o = -2.3 - 0.7. What is the third biggest value in z, o, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6259\/7 - 902. What is the common denominator of k and (6\/10)\/((-8)\/110)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l + 4. Let u be o(0). Let z(h) = 2*h + 1. Let f(q) = 2*q + 1. Let p = 3381 + -3384. What is p*f(s) + u*z(s)?\nAnswer: 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2202*q**5 + q**4 + 157*q**3 - 16723*q**2 + 12*q wrt q.\nAnswer: 132120*q**2 + 24*q + 942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.98 - 5. Let o = -2 - l. Sort -4, -5, o in descending order.\nAnswer: o, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 - 803*u - 37716. What is k(-50)?\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 801 = 666*j + 10417 - 958 for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b8 (base 14) to base 13\nAnswer: c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 135 and 11961?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12001000210200 (base 3) to base 15.\nAnswer: -37d4d3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 20154 by -15.\nAnswer: -6718\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 + 4*t + 1. Let g(l) = -3*l**2 - 48*l - 6. Calculate g(j) + 12*h(j).\nAnswer: -15*j**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 10:23 AM?\nAnswer: 10:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 7*d + 2 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**4 - q**3 - q**2 + q. Let o(w) = -11*w**4 + 71*w**3 - 21*w**2 - 31*w - 8. Let n(z) = -14*j(z) + 2*o(z). Determine y, given that n(y) = 0.\nAnswer: -1\/3, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26545 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*l**2 + 4*l**2 - 5 + 3*l**4 + 2*l**3 - 6*l**2 to the form z*l**2 + i*l**4 + q + d*l + w*l**3 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/7*(-1414)\/4545*(-9)\/(-2)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**8)\/r*r**(3\/10)*r**7\/r*r**(2\/13)*r*r assuming r is positive.\nAnswer: r**(59\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 28\/5*u**2 + 144\/5 - 2\/5*u**3 - 114\/5*u = 0.\nAnswer: 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 812200 to the nearest 10000.\nAnswer: 810000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of 2*u**6\/3 + 4*u**5\/5 - 2*u**4 - 8*u**3\/3 + 2*u**2 + 4*u + 17. Factor n(q).\nAnswer: 4*(q - 1)**2*(q + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 19*o**2 + 3*o. Let x be b(3). Let t(i) = 82*i - 1. Let d be t(-1). Let m = x + d. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 2*a - 1 = 0, -4*b + 0 + 4 = 2*a. Let i be 31\/(1\/(-2 - b)). Let x = i - -931\/10. What is the closest to 1\/4 in 2\/21, -4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*g*r**2 - 2*g*r + 2443*g + 71*r**2 with respect to r.\nAnswer: 6*g*r - 2*g + 142*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -77*l - 220*l + 47*l - 11250 for l.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide -2 + (0 - -1) + 5 + 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 51182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of o**4\/6 - 3*o - 20. Let w(c) = -2*c + 117. Determine j(w(v)).\nAnswer: 8*v**2 - 936*v + 27378","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(80)\/(sqrt(6)\/sqrt(3)))\/((-2*sqrt(64) - sqrt(64))\/sqrt(8)) - (1*(sqrt(120)\/sqrt(3) - sqrt(40)))\/(sqrt(800)*-1 - sqrt(8)).\nAnswer: 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 840274367 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 189 a factor of 55032?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(396) + -5 + sqrt(396) + sqrt(396)*1*2)*-4 + 1)**2*6.\nAnswer: -12096*sqrt(11) + 154710","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of 0*b - 2*b**2 - 1\/3*b**4 + 91 - 16\/9*b**3. Find y, given that p(y) = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 6 + 0 = 0. Let u be (-1)\/((-16)\/b - -3). Let j = 3 + u. Solve 0 = y - j - 3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 5*q - 121. Let t(c) = 22 - c - q + 2*c. Let x(z) = 4*z**2. Give x(t(u)).\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1053 a factor of 4846180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37*t**2 + 35*t**2 - 39*t**2.\nAnswer: -41*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -181581716 rounded to the nearest 10000?\nAnswer: -181580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4394)\/507*3\/(-2).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhggqhgggh. Give prob of sequence qh.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 5*g - 11 = -k, 0 = 5*g + 10 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/10 and -25\/3446.\nAnswer: 17230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15.8 + -16. Let s = -11 + 10.9. Let p be (4\/(-6) - 2) + 2. Which is the nearest to p? (a) z (b) 0.3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 107*r**2 + 46*r + 7. What are the prime factors of b(4)?\nAnswer: 11, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, 5, 110, 3 in increasing order.\nAnswer: 3, 5, 14, 110","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -92719 (base 10) to base 2.\nAnswer: -10110101000101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1821314*k**5 + 1548000*k**2 wrt k?\nAnswer: -109278840*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the second derivative of h**4\/6 - 7*h**3\/6 - 71*h. Let r(m) be the second derivative of m**4\/4 - 4*m**3\/3 + m + 21. Calculate 3*r(o) - 4*w(o).\nAnswer: o**2 + 4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 PM and 8:15 PM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 63, 25, -68, -5, 5, -1 in descending order.\nAnswer: 63, 25, 5, -1, -5, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -2*o**4\/9 + 1190*o**3\/9 - 153518*o**2\/9 - 17190*o = 0?\nAnswer: -1, 0, 191, 405","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y + 7. Let q be c(6). Let v(d) = 6*d - 6*d - q + 7*d**2. Let p be v(1). What is the highest common divisor of p and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) + (sqrt(102)*1)\/sqrt(6) - (sqrt(153) + -1*sqrt(153)))**2.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 103 greater than or equal to -147104?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 229 a factor of 163964?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-7)*i*i**(4\/3)\/i assuming i is positive.\nAnswer: i**(-17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6373.49 meters?\nAnswer: 637349","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 4*d - 19 = 2*g, -g - 9 = 3*d. Let x = -0.56 - -0.26. Which is the third smallest value? (a) g (b) 1\/3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 8*u**2 + u + 1. Let v(z) = -z**3 + 20*z**2 - 19*z - 1. Let o be v(19). Let m be a(o). Solve 5*x - m = -3 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 16\/3 + 3\/(-9). Let s be (286 - 0\/(-4)) + -2. Suppose -4*x = k - 43, -4*k - 3*x = -9*k + s. What is the highest common factor of z and k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 29807 and 149404.\nAnswer: 108616708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6240520353.\nAnswer: 3, 29, 181, 396299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, 80, 196, 346?\nAnswer: 530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3 + 8. Let r = 30589 - 30589. Solve -k*p + 0*p - 10 = r for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001839387 to seven decimal places.\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**3 + 0*u**3 - 5*u**2 + 3*u**2 - 2*u + (-3*u + 5*u - 3*u)*(0*u + 2*u**2 + 0*u).\nAnswer: -3*u**3 - 2*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 38a605d - -2?\nAnswer: 38a6061","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 4473837.4 rounded to the nearest one thousand?\nAnswer: 4474000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1080 + -433. Suppose -z + 3*w + c = 4*z, 0 = -z - 3*w + 115. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 PM and 4:25 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(((n**(2\/5)*n)\/n)\/n))**46)**40\/((n\/(n**(2\/3)*n))\/(n**(-1\/2)\/n))**(-40) assuming n is positive.\nAnswer: n**(8932\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/2 (b) -9 (c) 2\/7 (d) -63\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*t**2 + 16*t - 56*t + 33*t.\nAnswer: -2*t**2 - 7*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 15\/(-3)*(-192)\/40. Let g = 44 - k. Let n = -16 + g. Calculate the remainder when 15 is divided by n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1011.\nAnswer: 3, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 121171874?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s and 1 x when three letters picked without replacement from {s: 12, x: 1}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13907, -55601, -125087, -222365, -347435, -500297, -680951?\nAnswer: -889397","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-9.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5508218.\nAnswer: 2, 2754109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 7*j - 12. Suppose -j*w + 4*i = 17, -3*w + i + 1 = 3. Solve -w = -d - 6 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -4*h**3 + 3*h + 2. Let a be n(-1). Suppose -a*q + 0*q + 6 = 0. Factor q*f + 5*f**3 - 3*f**3 + 3*f - 7*f.\nAnswer: 2*f*(f - 1)*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 2*y + 14, 3 = h + 2*y - 1. Suppose 2*r - 6*r - 1 = -j, 5*j - 25 = 0. Let p(a) = 4*a + 10. Let u(m) = -1. Calculate h*u(i) + r*p(i).\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -4. Suppose -2*l = -j*l. What is the tens digit of (-2)\/6*l - -15?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*c**3*l**2*r**2 - c**3*l**2 + c**3*r**3 - 58*c*l**2*r**3 + 85*l**2*r**2 wrt r.\nAnswer: 6*c**3 - 348*c*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.081041326 to 4 dps.\nAnswer: -0.081","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 j when three letters picked without replacement from {o: 2, v: 4, j: 2, i: 4}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 104 + 7 - n**2 + 58.\nAnswer: -n**2 + 169","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the first derivative of -9\/2*w**4 - 39 - 3\/5*w**5 + 0*w**2 - 5*w**3 + 0*w. Factor u(l).\nAnswer: -3*l**2*(l + 1)*(l + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 47*c**2 + 40 + 7*c**2 + 7*c - 17. Let j be b(-3). Calculate the highest common divisor of 61 and j.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35023 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.80313kg in micrograms?\nAnswer: 18803130000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 796678 = -14176*u - 954754 + 433064 for u.\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -495 and -0.029302.\nAnswer: 14.50449","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2417*v - 1399?\nAnswer: 2417","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3*f**3*p**4 + f**3 - 1170*f**2 + 10*f + 42087*p**4 + 3 wrt p?\nAnswer: 12*f**3*p**3 + 168348*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2700306 - -0.2?\nAnswer: -2700305.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 987425189 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 35\/10*1*32\/28. Suppose -2*d = -b - 6. Solve 0 = -0*q - d*q + 10 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 33096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25\/8 + -23\/8. What is the fourth biggest value in 0.2, -0.2, 1\/9, f?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 + 8*w**2 - 2*w + 4. Let j be g(6). Let q = 42 + -29. Suppose -q*t - 192 = -16*t. Are t and j equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 8 = x. Let u(n) = n**4 + n**2 - n. Let y(i) = -10*i**4 - 2*i**3 - 6*i**2 + 10*i. Let j(s) = x*u(s) - y(s). Factor j(k).\nAnswer: 2*k*(k - 1)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 411034 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = 2*s - 26, c = -2*c + 3*s + 21. Suppose 0 = -4*b + 8, 27 - c = 5*w + 2*b. What is the lowest common multiple of 2 and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72025 is divided by 14340?\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 518 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*h - 3610 = -4138 for h.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 1\/13 (b) 0.4 (c) 3\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/7756 and 25\/1578346?\nAnswer: 3156692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/(-5))\/(1\/10). Suppose f*i - 3 - 9 = 0. What is the units digit of (-2)\/i*1098\/(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 - -1. Let i = 2.3 + -13.3. Let p = -11.2 - i. Which is the second smallest value? (a) 0.3 (b) f (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ktkrr. What is prob of picking 2 r and 1 k?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 4 = -4*c. Let y be c + -2 + 2176\/(-21). Let u = -328\/3 - y. What is the common denominator of 38\/5 and u?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 102587?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.972kg in grams?\nAnswer: 23972","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 19591114?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 + 49*d**3 - 4*d**2 - 95*d**3 + 44*d**3 in the form f*d**3 + p*d + k*d**2 + i and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21966, -21749, -21388, -20883?\nAnswer: -20234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 4, s: 3, o: 1, t: 2, z: 3, l: 4}. What is prob of sequence zlz?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8534 - 14676. What is f rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 219954?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46, 1, 3, -3.\nAnswer: -3, 1, 3, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*p + p**3 - 18 + 4239*p**2 - 4*p - 4239*p**2 as k*p + g + w*p**3 + o*p**2 and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-16)\/12*(-6)\/4. Suppose -y*o = -3 + 1. Let 5*g**2 + 3*g - 9 - o + 2*g = 0. Calculate g.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2531*v + 1450*v - 3644*v - 23696 = 28279 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*n + 53*n = 20*n - 3*m + 92, 0 = n + 13*m - 72 for n.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 103\/2 - 50. Suppose q - 1 = 3. Suppose -2 - q = 3*i. Which is the closest to -2\/9? (a) i (b) v (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 320990 and 8?\nAnswer: 1283960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f\/f**(-2)*f*f**(-2\/17))**1*((f**1)**(4\/9))**5 assuming f is positive.\nAnswer: f**(1087\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, a: 3, u: 3, z: 3, v: 2, c: 1}. What is prob of sequence vcz?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 612215356 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1320*a*p**5 + 2*a*p**4 - 35*a*p**2 + 9*a*p wrt p.\nAnswer: 79200*a*p**2 + 48*a*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1378, -2758, -4138, -5518, -6898?\nAnswer: -8278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k - k + 2*k)*(293 - 8851 + 4711)*(0*k + k + k).\nAnswer: 7694*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*p + 747 = -1576. List the prime factors of p.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1013 + 4055\/4. Factor 1\/2 + 7\/4*a + l*a**2.\nAnswer: (a + 2)*(3*a + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17 - 13. Calculate the smallest common multiple of 7 and k.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - 2)*(2*x - 4*x - 2*x)*(15 + 6 - 4)*(-1 + 1 + 1) as h*x + c and give h.\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 8*s**3 - 5*s**2 + s - 13. Let v be u(8). Suppose 6*f - v = -33. Find the first derivative of f*m**4 + 0 + 1 - 624*m**4 wrt m.\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/269 not equal to 1\/14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 13*t. Let m(g) = -6*g - 7. Let w(l) = -5*l - 6. Let r(i) = -4*m(i) + 5*w(i). Let a(j) = 5*j + 11. Let f(q) = -2*a(q) - 11*r(q). Determine f(s(u)).\nAnswer: 13*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -8656*-0.5\nAnswer: 4328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*y**3 - 15*y**2 - 80*y - 3 wrt y.\nAnswer: 78*y - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 w when two letters picked without replacement from oeoowwewwwwwowwdwwo?\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.005, -18\/1913, -1, -78 in increasing order.\nAnswer: -78, -1, -18\/1913, 0.005, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/2)\/((-4)\/32). Suppose -3*r - 3*w + f = 0, -r - 1 + 9 = 5*w. What is the third derivative of -r*y**2 + 0*y**2 + 3*y**4 + 0*y**4 wrt y?\nAnswer: 72*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 5) in base 11?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 - -23. Suppose d*q - 6 = 12*q. Suppose 0 = -2*h - 3*o - q*o + 116, o - 4 = 0. Is 16 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 1\/269323743?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 14) to base 15.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*d**3*s**3 + 38612*d**3*s - 6*d*s**4 - 322*s**2 wrt s?\nAnswer: 12*d**3*s - 72*d*s**2 - 644","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of -g**8\/140 - g**7\/105 + g**6\/10 - g**5\/6 + g**4\/10 - 6*g**2 - 24*g. What is i in r(i) = 0?\nAnswer: -3, 0, 1\/2, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -5*k + 14. Let c = 14 - k. Suppose 5*l - 4*x + 0*x - 671 = c, -139 = -l + 2*x. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101120111002022 (base 3) to base 2.\nAnswer: -10101011011110111111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 25, 113, 217, 337, 473?\nAnswer: 625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 524*m + 102*m + 113*m + 211*m - 25*m.\nAnswer: 925*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a gram in milligrams?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 o when three letters picked without replacement from rryorryrrrroyryryyr.\nAnswer: 11\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.02 + -0.02. Let z = -80.2 - -80. Let d = z + f. Which is the biggest value? (a) d (b) -0.7 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/2 (b) -23 (c) 438 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 8:00 AM?\nAnswer: 8:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-5 + (sqrt(700)*-2)**2) - (1 + -3 + (sqrt(700) - sqrt(700)*1)))*-1.\nAnswer: 13973","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 + 0.07. Let f = 2.03 + n. Let s = -3 + f. Put s, 1, 0.3 in decreasing order.\nAnswer: 1, 0.3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 370090 to the nearest ten thousand.\nAnswer: 370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 97\/3 + (-4)\/3 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.011, -0.8, -10, 2, -3 in decreasing order.\nAnswer: 2, 0, -0.011, -0.8, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/7? (a) 4\/7 (b) -3 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 88587?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17139000687856 - -17139000687160.1999994993. Let y = u - -695.8. Round y to seven dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 13 = 3*z - 4*k, 3*z + 5*k + 11 = 0. Suppose -u + 6 = -z*u. Let c = 1.4 + -1. What is the second smallest value in -0.2, c, u?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -b3 (base 15) to base 4\nAnswer: -2220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 21*((-12)\/7 + 2). Let s(o) = o**3 + 8*o**2 + o + 1. Let l be s(-8). Which is the second biggest value? (a) 3 (b) l (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*9005.\nAnswer: 1801","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 628*w - 26248 = -244*w + 100*w for w.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4878 + -4647. Solve v*z = 225*z - 12 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 353\/4*2 + (-24)\/(-48) is divided by 55?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8220 and 673500?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -871*p + 11347. Determine b(13).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5262*g = 2671*g + 2683*g + 11408 for g.\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 435 = -3*z, 5*t = 2*z - 223 - 67. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 2898921, 2898915, 2898909?\n\"Answer: -6*g + 2898927","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -6 - 225\/12 - 12\/(-18)*117\/104\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = -2*o - 18, -33*s + 9*o - 45 = -35*s + 28*o for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/438 and -105\/38.\nAnswer: 8322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 2, 0.27, -1\/6, 2\/193, -2\/119, -2\/11, -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (((-8)\/10)\/(-1))\/(29\/145) and 27.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -49*v**3 + 2*v**2 + 5*v + 4. Let t(w) = -2*w**2 + 9*w + 12. Let j be t(-4). Let m = j + 55. Is 14 a factor of q(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-76*l - 101*l + 33*l)*(-5 + 1 + 3) + 0*l - 2*l - 40*l.\nAnswer: 102*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -371772 divided by 4.\nAnswer: -92943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.74 to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = q + 2. Let o(d) = 14*d - 11. Let v(a) = a + 1. Let x(n) = -3*n + 13. Let i(u) = 6*v(u) - x(u). Let b(g) = 8*i(g) - 5*o(g). What is b(q)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -3*b**3 - 29*b**2 - 19*b - 6. Let s be z(-9). Suppose o + s*o + 5*d + 9 = 0, 4*o = -4*d - 4. Solve 4*w + 1 = -r, o*r + 3*w = 4 + 5 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 5*l. Let d be y(1). Suppose r - d = -0. Which is the second smallest value? (a) 0.4 (b) -4 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -4. Let p = 4 - 6. Let a = -11.06 - -10.56. What is the fourth smallest value in o, a, p, 0.2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4775 - 4775. Solve 10 = -5*z - 3*u, 5*u - 25 = -l*u for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 398\/25 - 16. Let r(l) = 2*l - 16. Suppose 3*f - 21 = -g, 0*g - 5*g - 47 = -4*f. Let y be r(f). Which is bigger: y or a?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 7 = 3*k - 0*x, 6 = k + 3*x for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -400, -1778, -4214, -7822, -12716, -19010?\nAnswer: -26818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8639510 a multiple of 684?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.01 - -0.99. Let p = -1 - i. Let g = 62 - 59. What is the smallest value in p, g, -1\/5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6769 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g - 5. Determine v(-8).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (2 - 1)*(2013 + 0). Suppose -3*y = -2670 - h. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -2*i + 0*i + i + 29*i**3 + 1. Is g(1) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express m - 1 - m - 67*m**3 + 84*m**3 in the form x + t*m + q*m**3 + l*m**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 578696 is divided by 185?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 3:55 PM?\nAnswer: 10:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve f**3 - 30*f**2 + 57*f - 28 = 0.\nAnswer: 1, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 179246713 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5*(532\/(-20) - 4). Suppose -4*f + 2*z - 166 = z, -5*f - 212 = z. Let c = f - p. Does 25 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/15))**(-18)\/((w**(5\/4)\/w)\/w)**40 assuming w is positive.\nAnswer: w**(138\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81*r**2 - 21*r**2 - 354*r**2 + 74*r**2.\nAnswer: -382*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2296 < -32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddkibb. Give prob of picking 2 d and 1 k.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kc when two letters picked without replacement from cckckcccccccc?\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 1445960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1695.9 + 1696. Which is the smallest value? (a) -1.77 (b) n (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -i + 4*w, 10*i - 40 = 6*i - 4*w. Solve 7*s + i + 17 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -91 - (-7 + (19 - 4 - (40 - 25)) - 0).\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-44)\/8*1*42\/154*-14.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10)\/(-3)*(-3)\/(-2). Suppose 4*k = m*k - 14. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 + 6 - (-3 - 3 - -47)) + -1 + -8?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 68\/3, -8\/7, 375, -1\/3?\nAnswer: 375","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/6)\/((-2)\/(-4)). Let w be (-1)\/1 + (5 - 2). Let l(i) = 5*i**2 - w*i**3 - i**2 - 3*i**2. Determine l(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -178*l**2 + 58201*l + 1621. Determine m(327).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 11*r - 18. Let t(o) = o + 1. Let a(v) = -2*k(v) - 22*t(v). List the prime factors of a(-10).\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence odo when three letters picked without replacement from {o: 4, d: 5, y: 8, t: 2}?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 7:36 AM?\nAnswer: 6:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -621, -2370, -5315, -9456, -14793, -21326, -29055?\n\"Answer: -598*d**2 + 45*d - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -11629, -12799, -13967, -15133, -16297?\n\"Answer: a**2 - 1173*a - 10457","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -19*z**3 + 2*z**2 - 2*z - 4. Let f(h) = -1352*h**3 + 143*h**2 - 143*h - 286. What is 429*d(x) - 6*f(x)?\nAnswer: -39*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -171*j**2 + 141*j?\nAnswer: -342","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 32 + 77. Let h = o - 84. Calculate the remainder when h is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*l + 4*o - 27, -6*o + 2 = -2*l - 2*o for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 1763 divide 1916381?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/210*(14\/(-8) - -1).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5326331 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(30\/(-40)) + (396\/(-34))\/3?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/15 (b) 208 (c) 0.4 (d) -2\/3 (e) 3.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u**3 - 12*u**2 + 4*u + 55. Let d be m(-8). Suppose 4*f - k - d = 0, -f - 8*k = -7*k - 71. What is the greatest common divisor of 42 and f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*b - 284*b + 9029 = 1945 for b.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -60.14074 rounded to the nearest integer?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -0.3.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*p**3 + 19*p - 31*p - 4*p**3 - 42*p.\nAnswer: -p**3 - 54*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -25, -35, -47, -61, -77?\n\"Answer: -g**2 - 7*g - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13 + 13. Let z = 68449\/5 + -13690. Which is the closest to l? (a) z (b) 1\/3 (c) 4\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the second derivative of -9\/2*d**2 + 0*d**5 + 17\/12*d**4 + 101*d + 0 - 1\/30*d**6 + 0*d**3. Differentiate n(q) with respect to q.\nAnswer: -4*q**3 + 34*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 0.2784836 kilometers?\nAnswer: 278483.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -o**3*t**2 - 167*o**3 - 46824*o*t**4 + 13*o wrt t?\nAnswer: -2*o**3*t - 187296*o*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 minutes after 11:46 PM?\nAnswer: 12:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/4 + 0)\/(2424\/1616).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14916163 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: How many tonnes are there in 51766.86mg?\nAnswer: 0.00005176686","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9239 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i = -5*i - 21. What is the remainder when 45 is divided by i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**2 + 18*s + 23. Let q be x(-16). Let r(z) = z - 8. Give r(q).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*x - 30, -694*v - 2*x = -696*v - 22 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 1\/3, 0.5, -100214?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 4*n**3\/3 - 16*n**2\/3 = 0?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 531315 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 31 + 6*n - 3*n - 61. Calculate the remainder when q(14) is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.73 + -1.71. Let y = 1 + u. Let v = 0.2 - 0.1. What is the biggest value in v, y, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42)\/(-6)*(324\/(-63))\/(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -8*s + 4*s. What is the closest to s in 4, 6, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -435, -872, -1309, -1746, -2183, -2620?\n\"Answer: -437*p + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -496\/19 + 26. Let v = -13\/57 + p. Let q = 21 - 20.7. Sort 0.5, v, q in increasing order.\nAnswer: v, q, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -7*u**2 - 6*u + 6. Suppose 3*w = -3*i, 3*i = 4*w - 5*w. Suppose w = 10*t + 2*t + 72. Let c(r) = 8*r**2 + 7*r - 7. Calculate t*c(f) - 7*n(f).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 d when two letters picked without replacement from fbuxffd.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -9*w + 4. Calculate the remainder when 59 is divided by m(-3).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 2*i**4\/3 + 14*i**3\/3 + 4*i**2 - 64*i\/3 - 64\/3 = 0.\nAnswer: -4, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 39 - 60. Let z be (2\/(-4))\/(r\/(-12)). Suppose 0 = -k + q - 0 - 4, 0 = k - 3*q + 12. Which is bigger: k or z?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -d6e - 3ee?\nAnswer: -115c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 502.924 * -0.4.\nAnswer: -201.1696","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -844 = 72*g - 659 + 823 for g.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of -2*a**3\/3 - 2*a**2 - 2*a + 10. Factor z(x).\nAnswer: -2*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 (base 4) to base 13\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of 169*y**5\/20 - y**4 - y**3\/3 + 5*y. Find the third derivative of r(l) wrt l.\nAnswer: 1014","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/48 and -133\/384.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2325365453 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**3\/3 - 139496*i**2\/3 + 46494*i + 278988 = 0. What is i?\nAnswer: -2, 3, 69747","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 4*o**2 - 2. Suppose 0 = -56*g + 1409 - 1353. Let i(m) = -m**2 - 1. Calculate g*h(v) - i(v).\nAnswer: 5*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-658*f + 210*f - 336*f)*((5 + 0 - 3)*(-2 + 14*f + 2) + (1 + 1 + 0)*(-f + 3 - 3)) to the form b + n*f + z*f**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-18)\/(w**3\/w**(-1))*(w\/(w**(1\/6)\/w))\/(w*w**4)*w*(w*w\/w**(4\/3))\/w*w*w**(-1\/3) assuming w is positive.\nAnswer: w**(-143\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 42\/36619 and 49\/19974.\nAnswer: 219714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 9*n - 9. Suppose -h - 7 = -5*k + 1, 3*k - 14 = -4*h. Let b be r(h). Suppose b*q + 90 = 12*q. What is the least common multiple of 21 and q?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 14) to base 12.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4428 a multiple of 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 16*c**2 - 23*c**2 - 31*c**2 + (-24*c**2 - 51*c + 51*c)*(0 - 2 - 1).\nAnswer: 34*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-228337)\/(-9) - (-2 + (-64)\/(-36)). Let f = -38012 + g. Let l = 20941 + f. What is l rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*y + 9*y - g + 220, y - 3*g = 240. Let r be ((y\/12)\/(-5))\/((-15)\/60). Solve 6*f = f - r for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that h**2 + 602*h - 1208 = 0.\nAnswer: -604, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -69*q**2 - 35*q - 5. What is d(-2)?\nAnswer: -211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.4 - -4.4. Let r = 0.3 + -4.3. Which is the closest to -1\/4? (a) p (b) r (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -22020 != 5733?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1520 + 1519.88. Put a, 5, -0.2 in ascending order.\nAnswer: -0.2, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, e: 2, s: 2}. Give prob of sequence es.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4277503.\nAnswer: 61, 70123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 83548 - 43826. Suppose 38*v - r = 3788. List the prime factors of v.\nAnswer: 5, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**(4\/5)*u*u**(-20)*u*(u*u**(-24))**(-1\/8) assuming u is positive.\nAnswer: u**(-533\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kr when two letters picked without replacement from rrrrrkkrrk.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -6 + 10 + -6 + -5\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 5*l**2 + 36*l - 12. What is the remainder when z(-9) is divided by 23?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 352824 and 4.\nAnswer: 352824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 + 4. Let r(i) = -w + 3 + 2*i - 1. Determine r(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 2*u - 12, -3 = h - 3*u - 5. Let z = -12 + 28. Suppose 0 = -4*l - 0*l + z. Sort h, -1, l.\nAnswer: -1, l, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - 204?\nAnswer: -211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - t + 2 = -2*i, 3*t - 4*i - 14 = 0. Let w = 2 - -2. Suppose -5*o + d - 6*d = -50, 3*o - w*d = 30. What is the least common multiple of o and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {g: 5, i: 3}?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -607 + 631.45. Let c = i - 25. Round c to 1 dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -5, -435, -1447, -3281, -6177, -10375, -16115?\n\"Answer: -40*p**3 - 51*p**2 + 3*p + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -191811, -383613, -575415?\nAnswer: -767217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or -4671\/1001?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 29978325\/4 at least as big as 7494581?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*1\/(-1)*(-945)\/(-13041))\/((-20)\/(-15))?\nAnswer: -5\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4a7b (base 13) to base 16.\nAnswer: 2954","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -9, 10264, -3, 3, -5 in descending order.\nAnswer: 10264, 3, -3, -4, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6550 is divided by 5050.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 2*774\nAnswer: 1548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 146 a factor of 2934561?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 189, 375, 559, 741, 921, 1099, 1275?\n\"Answer: -m**2 + 189*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2546 and 134?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 105, -3, 1, 4 in descending order.\nAnswer: 105, 4, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - 34.5. Let t = 34 + r. Let f = -49\/3 + 16. What is the biggest value in -5, f, t?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -451145 (base 6) in base 9?\nAnswer: -56842","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -100602601*j*l**2 - 17*j*l + 2385*j - 29 wrt l?\nAnswer: -201205202*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1519)\/(-21))\/7 - 4\/(-6). Suppose t*q = 12*q - 52. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of z**3 + 211*z - 211*z - 32*z**2 wrt z?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1504?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 306 and 12?\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -3*i**2 + 163*i + 1360. Calculate k(-9).\nAnswer: -350","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2 and ((4\/5)\/(-2))\/((-3)\/30)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a**2. Let u(q) = 1610*q - 2. Determine u(j(m)).\nAnswer: 3220*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 352 + -400. List the prime factors of (-52170)\/x - -6 - 1\/(-8).\nAnswer: 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 3*s = 81, 3*s + 2*s = -2*t + 47. Suppose -b - 2*g = -0*g - t, 5*b - 30 = 5*g. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 1335*d + 2. Let v(n) = -2562*n. Determine v(t(o)).\nAnswer: -3420270*o - 5124","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (g - 2*g + 6*g + (3*g - g - 4*g)*(-2 + 2 + 1))*(-8*g - 10*g + 0*g) to the form n*g**2 + j*g + p and give n.\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2639\/290)\/91*4\/(-6)?\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence msm when three letters picked without replacement from smfmfmsmss?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*h**2 - 15*h + 15*h - 3*h**2 - h**2 + 2*h**2 + (-1 - h + 1)*(h - 1 + 1).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**3 - 81*f**2 + 1680*f - 1600.\nAnswer: (f - 40)**2*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2323102 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 5 (b) -7 (c) 62 (d) -0.288 (e) -1 (f) 2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 0, 4, 12?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 4404, 6336, 8268, 10200?\n\"Answer: 1932*d + 2472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 422 is divided by 206.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10628.\nAnswer: 2, 2657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - -23) + (1 - 22) + 17\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 5*p = -19, m = -3*p - 9 - 4. Let j be 3*(0 + 4\/6). Suppose 0 = -j*x - 4*k + 42, 3*k - 15 = -x - m*k. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -222*r**2 + 3410*r + 10242. Calculate z(-3).\nAnswer: -1986","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*p**2*x**2 - p**2*x - 90*p*x**2 - 2*p*x - p - 199626*x**2 + 129050*x + 7 wrt x.\nAnswer: -4*p**2 - 180*p - 399252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 7:49 PM?\nAnswer: 11:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4969*i + 1658*i = -1657*i - 1728*i + 10434 for i.\nAnswer: 141","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -9. Suppose -1 = -d + 3*x, -3*x - x = -o*d + 4. Solve 0 = -5*q + q - d for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 AM and 9:39 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 261800*j**6 + 7*j**5 - 11280377*j**2 wrt j.\nAnswer: 31416000*j**3 + 420*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -78, -328, -780, -1464, -2410, -3648?\nAnswer: -5208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41 divided by 73.\nAnswer: -41\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0015815103 to five dps.\nAnswer: -0.00158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1041443?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*a + 3 - 3)*((4 + 1 - 6)*(5*a - 2*a + 3*a) + 8*a + 55 + 55 - 104) to c*a**2 + h*a + k and give h.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 + 1320*u - 15947. Give c(12).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15 - 9 - 2*g**4 - 2*g**2 - 5 to the form p*g**4 + i*g + y*g**2 + d*g**3 + f and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i*(i\/i**(-2\/7))\/i)**(-4\/3)*i*i**3*i*i*i\/(i\/(i\/(i\/i**0)))*(i**2)**0*i*i*i**(2\/23)*i*i**(-5) assuming i is positive.\nAnswer: i**(502\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 52 - 7*n - 52 to w + k*n and give k.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -105, -194, -283?\nAnswer: -372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of -g**4\/6 - 2*g**3\/3 + g**2\/2 - 64*g. Let y be i(0). Which is the closest to y? (a) 3 (b) -4 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -3684*n**2 - 3355*n - 56. Let y(i) = -1228*i**2 - 1119*i - 21. Let h(u) = -8*y(u) + 3*z(u). Find the second derivative of h(l) wrt l.\nAnswer: -2456","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**2 + 0*r**2 + 2*r**2)*(24 - 24 - 27*r).\nAnswer: 27*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = -m + 30. Suppose 76 = 3*v - 2*y, -29 = -m*v + 3*v - 3*y. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -8\/13 (c) 0.1 (d) -5 (e) -3.18 (f) -163\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 226189\/3 + -76537. Let x be 0 + -26*(-346)\/8. Let m = a + x. What is the common denominator of 87\/4 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003603109387 rounded to 5 decimal places?\nAnswer: -0.00036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 + 4.96. Let t = k - -0.04. Which is smaller: -2 or t?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -67348*b**2 + 6*b + 9. Let c be k(7). Let l be c\/5 + (-1)\/(-5). What is l rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67\/3*g**3 + 1\/3*g**5 - 13\/3*g**4 - 57*g**2 + 72*g - 36 = 0 for g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -264*h**3 + 614*h**3 - 292*h**3.\nAnswer: 58*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 + 6*x**2 + 6*x + 7. Let z be p(-5). Suppose -z = -3*i + 1. Suppose -5*h + 3276*r - 3281*r + 100 = 0, -3*r = -2*h - 45. Solve i = 2*d - h for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 5\/3, 0.4, -2\/5 in descending order.\nAnswer: 5\/3, 0.4, -0.3, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u**2 - 27*u + 47. Let p(s) = -22*s + 139. Let k be p(7). Let t be l(k). Solve -3*n + n + t*h - 2 = 0, -3*h - 7 = -n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29120*r = -29001*r - 119. Let l = -2.04 + 0.04. Let h = l + 2.1. What is the second biggest value in h, -2\/7, r, 5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -66 - -135. Let x be ((-3)\/(-9))\/(4 + 23708\/(-5928)). Let f = g - x. Round f to the nearest ten.\nAnswer: -430","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (0 + -2 - -7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(((-567)\/12)\/(-9)). Let o be 2\/(20\/7)*32*18\/1008. Let g = 0.96 + 0.04. What is the nearest to o in g, -3\/4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**4\/3 + 28*u**3\/3 - 34*u**2 + 36*u.\nAnswer: -2*u*(u - 9)*(u - 3)*(u - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13)\/(-91))\/((-2)\/4).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 - 7*u - 7. Let t be n(-6). Suppose 3*z = 2*j + 5, -2*z = j - 0*z - 15. Which is the biggest value? (a) t (b) 1\/2 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97259856 to the power of 1\/5, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 6 = -3*x. Suppose -b = 2*b - 4*s - 8, x*b + 5*s - 44 = 0. What is the third derivative of -7*v**2 - v**3 + 7*v**3 - b*v**3 wrt v?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 9, o: 5}. What is prob of picking 2 y?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-16) + -14*1\/(-8). Solve -7 = m*k - 5*a - 1, 5*k - 3*a = -15 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -1. Let n = 28 + -28. Suppose 8 = y*a - n. Solve -4*x + 3*k = 23, k = -a*x - 0*k - 19 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 6170 and 6179 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4*(-2)\/(-1))\/(10\/(-5)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 19476 times 24572\nAnswer: 478564272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/13, -37\/5, 0, -245, 7\/4 in decreasing order.\nAnswer: 7\/4, 2\/13, 0, -37\/5, -245","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o + 4 - 4 + (-1 + 0 - 3)*(2 + o - 2) - o - 4*o + 4*o - 1 + 1 - 2*o + 0*o - o - o - o + 0*o + 0*o + (-1 + 3 + 0)*(-2*o + 2*o - 2*o))*(3 - 2 + 1).\nAnswer: -24*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11836 + -56?\nAnswer: 11780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -6*f**2 - 7*f + 6. Suppose -8 + 4 = b. Let v = -3 + b. Let m(r) = -5*r**2 - 6*r + 5. Determine v*m(k) + 6*n(k).\nAnswer: -k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p**3 + 1302*p**2 + 27363*p + 70452 = 0 for p.\nAnswer: -412, -19, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8 - (-84)\/6) + 15*58\/6. What is the greatest common divisor of p and 34428?\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -14b + -27?\nAnswer: -175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 173.3 - 165. Let v = s - 8. What is the closest to -1 in v, 1, -5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 53 (base 8) to base 10.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.0388 - 0.14\nAnswer: -0.1788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = z + 5*u + 11, 0 = -u - 5. Suppose -z*y = 27*y - 7880. Is 7 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 33 = -11. Let c = -52 + 111. Let p = 147 - c. Calculate the highest common factor of p and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9 and 66636.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 44, 91, 132, 161, 172, 159, 116?\n\"Answer: -u**3 + 3*u**2 + 45*u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*p + 27*p - 8*p)*(-4 - 8 + 6)*(2*p + 46 - 21 - 38).\nAnswer: -144*p**2 + 936*p","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 3. Let h = -6 + 9. Suppose h + s = 2*v. Calculate the lowest common multiple of v and 7.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-154)\/(-33)*(-7)\/28\nAnswer: -7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -432*x = -390*x + 126 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 + 6*t + 5. Let b be y(6). Suppose b*z = 3*z + 260. Let j = z - 77. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 4 = 0, 5*p + 7 = -0*h + 3*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*y**5 + 7*y**5 - 11*y**5 + y**4 + (2*y**3 + 1 - 1)*(3*y**2 - y**2 - 4*y**2).\nAnswer: -2*y**5 + y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the third derivative of -d**5\/60 + d**4\/8 - d**3\/3 + 3*d**2 + 267. Let o(j) = j**3 + 5*j**2 - 7*j - 3. Let a be o(-6). Determine p(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 30011901 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**4\/5 + 32*r**3\/5 - 94*r**2\/5 - 272*r\/5 + 1056\/5 = 0.\nAnswer: -3, 4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.9 * -49.\nAnswer: 44.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -551251*b**2*k + 85200*b**2 wrt k.\nAnswer: -551251*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -590608*k**2 - 2 - 4*k + 0 + 590486*k**2 in the form o*k + y*k**2 + b and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/5885 and 34\/2675?\nAnswer: 29425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**2 - 159764*u - 4789320.\nAnswer: -4*(u + 30)*(u + 39911)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 89 divided by -5\nAnswer: -89\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 1281 = -4*f, -2*f - 3746 = -5*u + 2587. Suppose 4*m = t + u, 3*t + 2*t = -4*m + 1259. What are the prime factors of m?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuauxxxuuax. What is prob of picking 2 a and 2 x?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u**5 - 753*u**4 + 28203*u**3 + 295809*u**2 + 823800*u + 556944 = 0 for u.\nAnswer: -283, -4, -1, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*i + 18. What is the nearest to -0.2 in i, 2\/19, 0.2?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 635278357 from -0.99.\nAnswer: -635278357.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 4151000 rounded to the nearest 10000?\nAnswer: 4150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.1564 and -29?\nAnswer: 29.1564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(6)\/sqrt(2))**2*-2 + (sqrt(900)\/sqrt(12) + 0)**2.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7606780 divided by 245380.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 1 = c, 5 = 72*c - 67*c for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -n**2\/3 - 10*n - 29\/3 = 0.\nAnswer: -29, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 3*b + 3*f - 34067, 5*b - 56777 = -3*f. Suppose -6*l + b + 5786 = 0. Is l 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 9381150?\nAnswer: 2, 3, 5, 6949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1630 - -1635. What is the second smallest value in 0.3, b, 1, -5\/6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y and 1 c when three letters picked without replacement from cbyedbemcmybeeccbee.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 - 8 = -5*t, 4*t = 2*y - 44. What is the lowest common multiple of -2 - (2 + -19 - -1) and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (61 - 14 - 104)*(-2*t**2 - 2*t + 2*t).\nAnswer: 114*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 426764905.\nAnswer: 5, 7, 12193283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 710 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-20)\/(1 + 1)*(145\/(-319))\/(54\/297).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -52838 > -264189\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7.5 and -1.1.\nAnswer: 8.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(22) + -1*sqrt(88))\/(-1*sqrt(32)))**2.\nAnswer: -37\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, -6\/5, -1\/2, 252, -49.4 in descending order.\nAnswer: 252, -2\/9, -1\/2, -6\/5, -49.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -7 times -0.1613792\nAnswer: 1.1296544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one halves of a minute in seconds?\nAnswer: 1530","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**5\/u)\/(u*u*u**10*u)*(u\/(u\/(u*u\/(u*(u**(5\/4)\/u)\/u))))\/u**(-3\/7) assuming u is positive.\nAnswer: u**(-191\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 + -38 + -20 + (9 - 0) + 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 154 and 182.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 54653*-0.03\nAnswer: -1639.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34 is divided by 4 + -2 - 3 - -10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1 + 0. Let s = 73 + -364\/5. What is the second biggest value in 2, s, j?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2 - 6*x + 2. Let q = 19 - 15. Determine l(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 335 + 255. What is the remainder when j is divided by 160?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101010010101010110101111011 + -100?\nAnswer: -101010010101010110101111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffrfgfrrfforcsrr. Give prob of sequence gfg.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 5031*15845\nAnswer: 79716195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 339022, 678034, 1017046, 1356058, 1695070, 2034082?\nAnswer: 2373094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5.25 and 1774.\nAnswer: 9313.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 21095 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1564673235 not equal to -1564673235?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the third derivative of b**5\/270 + 5*b**4\/54 + 25*b**3\/27 - 21*b**2. Factor t(m).\nAnswer: 2*(m + 5)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 174717?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/4*k - 1\/4*k**3 + 3\/2*k**2 - 5\/2.\nAnswer: -(k - 5)*(k - 2)*(k + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, s: 2, c: 1, m: 3, w: 3, d: 3}. Give prob of picking 1 s and 1 d.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -2*s**2 + s + 2. Let x be (1 - -2) + -9 + 12. Let f be (1\/2*x)\/1. Calculate p(f).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - k - 34 = 0. Let c = -8 - k. Let j = -2108 - -2125. What is the remainder when j is divided by c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-3 - 1) - 27\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -2*a**2 + 146*a + 299. Let r be g(-40). Round r to the nearest 100.\nAnswer: -8700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -44 and 2.6.\nAnswer: -41.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 93011 greater than -0.31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*r = 15*r - y + 12, 16 = -2*r + 5*y. Suppose -r*u + 10 = p, 8*u = 4*p + 6*u. Factor 27\/2*g + 3\/2 - 15*g**p.\nAnswer: -3*(g - 1)*(10*g + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4452289 > 4452289?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -3*j**2 + j + 9. Let h(k) = -8*k**2 + 3*k**2 + k**2 - 3 + 5*k**2. Let g(r) = -11*h(r) - 4*y(r). Calculate g(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -107*g**3 - 19*g - 9274 wrt g.\nAnswer: -321*g**2 - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n - 3. Let y be u(12). Let j = 10 - y. Let t(s) = s**3 + 3*s**2 - 4*s + 2. Let w be t(-4). Which is the nearest to j? (a) -2 (b) -1\/10 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/184556 and -83\/17458.\nAnswer: 1291892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 53005?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -744766406*f**3 + 699603968*f wrt f?\nAnswer: -4468598436*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 245711 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2688 + -2683. Let j = 4 + -3. Put j, -8, s, -4 in decreasing order.\nAnswer: s, j, -4, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (674 - 573) + (15 - -2) - 9.\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/(a*a**(-37)*a))**(-6\/29) assuming a is positive.\nAnswer: a**(-222\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 5:20 PM?\nAnswer: 3:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -300 + 224 + l**2 + 76.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 + 12. Suppose -3*s + 12 = -0. Solve -t = -s*o - 13 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2999925 or -2999907?\nAnswer: -2999907","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(735) + sqrt(735) + sqrt(735) - sqrt(735))*3*-3)\/(3*1*sqrt(12) - (sqrt(192)\/sqrt(4))\/sqrt(4)).\nAnswer: -63*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 36115655?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y**2 - 8*y - 44. Let d = 21 + -10. Does 8 divide u(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 183 and 122?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6392 + 0.14?\nAnswer: 6392.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*g + 38 = 107 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 25 - 50. Let j = 15 + s. Suppose 7*z + 5 - j = 0. Solve -z = -5*t, -4*t + 3 = 3*l - 4 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 88 and 9779?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-70)\/63 + (-20)\/(-180). Are -2\/579 and i unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(-8)*(18 - 10). Let n(r) be the first derivative of 0*r**4 + 0*r + r**2 + 4\/5*r**5 + 7 - 1\/3*r**6 - 4\/3*r**h. Solve n(c) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -52056173 + -1?\nAnswer: -52056174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 AM and 2:59 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-59*j**2 - 8*j**3 - j**3 + 58*j**2)*(3*j**2 - 2*j**2 + j**2) + (3*j + j**3 - 3*j)*(j**2 + 7*j**2 - 5*j**2).\nAnswer: -15*j**5 - 2*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 31 + -63\/2. Let x = 0.01 - -0.23. Let c = -0.34 + x. Sort 0.3, d, c.\nAnswer: d, c, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*f**2 + 386588647 - 773177292 + 386588645.\nAnswer: 21*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 - 5*p**2 - 7*p - 5. Let v be z(-4). Let b(f) = 9*f**5 + 7. Let q = -14 + 8. Let x(g) = 8*g**5 + 6. Let i(r) = q*b(r) + v*x(r). Factor i(w).\nAnswer: 2*w**5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 43380 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 47737 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 + 86 = 3*y + 5*v, 2*y + 3*v - 8 = 0. Which is the biggest value? (a) 5 (b) 2 (c) y (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/5, 0, 5, -23542?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1486 + 3?\nAnswer: 1489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1772\/111 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1036368?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 17, -0.4, 0.4, 1\/6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 591910856.\nAnswer: 2, 47, 1574231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 8, s: 1, a: 9, v: 1}. What is prob of picking 1 v and 2 a?\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6454?\nAnswer: 2, 7, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(3872)*1 + 3 + -1 + sqrt(3872) + -5)**2.\nAnswer: -704*sqrt(2) + 15504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -242\/7, -0.3 in descending order.\nAnswer: 0.1, -0.3, -242\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 404349329?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v**4\/5 - 48*v**3 - 5172*v**2\/5 - 2976*v + 66240 = 0.\nAnswer: -46, -20, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 471*v - 39*v**2 - 54*v**2 + 91*v**2 in the form a + f*v + o*v**2 and give f.\nAnswer: 471","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36029, -36054, -36091, -36146, -36225?\nAnswer: -36334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*m = 16*m - 35881. Calculate the remainder when m is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.098684cm to kilometers.\nAnswer: 0.00009098684","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*z + 7. Let g(x) = -x**3 + 4*x**2 - 3*x + 1. Let k be g(z). Let r(n) = -n**3 + 1. Let j be r(k). Solve j*c - c = 2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 at least 543\/175?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-2\/31)*i\/i**(-1\/2)*i)**(-1\/2)*i\/i**(1\/2)*i**(-6)*i*(i\/((i\/i**1)\/i))**49 assuming i is positive.\nAnswer: i**(11373\/124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -191*s - 388. What is d(-2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10658162*i**2*n - 14115117*i**2*p - 2*n*p wrt n?\nAnswer: 10658162*i**2 - 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101000001110100111110010 - 10010?\nAnswer: -101000001110101000000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 250210128 to the nearest integer?\nAnswer: 630","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2179734 to the nearest integer?\nAnswer: 1476","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-1 + sqrt(72) + 4 - ((sqrt(72)*-1 + sqrt(72))*-3 - sqrt(72))) + 2 + 4)**2.\nAnswer: 120*sqrt(2) + 313","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -31.99 - 0.01. Let d = -32.2 - w. Let k = 5 + -9. Which is the nearest to k? (a) 4 (b) d (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10 - (2 - -5) - -12\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oeeh when four letters picked without replacement from {h: 3, e: 3, k: 1, o: 5}?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 832?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 - j**2 - 12*j - 2. Let u(q) = -2*q**3 + 3*q**2 + 25*q + 4. Let d(h) = -9*l(h) - 4*u(h). Calculate the remainder when 33 is divided by d(-5).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-21)\/14 + (-1)\/2 + 1. Are -2\/123 and k unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11011 + -1000001110?\nAnswer: -1000101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -27.58 times 1.006?\nAnswer: -27.74548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 52178570 to the power of 1\/2, to the nearest integer?\nAnswer: 7223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 120949 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 51385483 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105333.64 - -99047.\nAnswer: 204380.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-222)\/185)\/(-2 - (-295)\/(-25)).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -30, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(3\/(-2)))\/((-142)\/(-1065))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to 184\/2845?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 114 divide 23283694?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + -25 - (-46 - -25).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -91491*j - 3110700. Give q(-34).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 12169 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -2*f + 52, 0*f + 108 = 5*d - 2*f. Suppose -5*u + d = -45. Calculate the remainder when 49 is divided by u.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 382 = -7. Is 8 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 26096, 52190, 78284, 104378, 130472, 156566?\n\"Answer: 26094*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w + 2*d - 288735, w - 43287 - 14453 = d. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -341 + 1009 + 8*d**2 - 336 - 332. Let i(t) = -4*t**2. Calculate i(x(h)).\nAnswer: -256*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -277*c**2*y**4 + 151*c**2 wrt y?\nAnswer: -1108*c**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + -22 - -48 - 22?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -81 - -178. What are the prime factors of c?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16075679 by 373853.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 383, 769, 1153, 1535, 1915, 2293, 2669?\n\"Answer: -b**2 + 389*b - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 351821 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 245 - 9. Does 3 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 39 + -40. Suppose 0 = -5*l + 3*k + 9, 6 = 5*k - 2*k. Sort -3, s, l, 5 in decreasing order.\nAnswer: 5, l, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -4730 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 24*n - 338. Let m be u(5). Is m not equal to -219?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -40*f*k**2*w + 3268*f*k**2 + f*k*w + 461*f*k - 150*f*w + 51*k**2*w wrt k?\nAnswer: -80*f*w + 6536*f + 102*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9.3 - 8.8. Let s = -0.8 + 0.8. Let a = -4 + s. Sort 2\/5, h, a in descending order.\nAnswer: h, 2\/5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 2*u. Let w(n) = 2*n - 26. Let s be w(19). Let h(c) = 2*c - 2*c + s*c. What is k(h(o))?\nAnswer: 24*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*t = -2*t + 7*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2052 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2993 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -580, -1163, -1748, -2335, -2924, -3515, -4108?\nAnswer: -4703","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 2069100 to the nearest ten thousand.\nAnswer: 2070000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that c**5\/3 - 63158362*c**4\/3 - 2*c**3\/3 + 126316724*c**2\/3 + c\/3 - 63158362\/3 = 0.\nAnswer: -1, 1, 63158362","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 17640 a multiple of 168?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 60 - 36. Let w = -24.4 + r. What is the biggest value in 0.3, w, -1\/6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 100217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -84 - -119. Let m = v - 33. Put m, 0.2, 0 in descending order.\nAnswer: m, 0.2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, -2, -12 in descending order.\nAnswer: 3, 0, -2, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1828190*c**3 - c**2 + 1521*c - 7 wrt c.\nAnswer: -10969140","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add 765311530 and 2.2.\nAnswer: 765311532.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (k - 3*k + 3*k)*(-10 + 11 - 3) + 0*k - 30*k - 13*k to the form d*k + r and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 9. Suppose -a + 4*a = -9, 2*a - 3 = -i. Suppose 0 = i*d - 14*d + 15. Solve w*o = d*o - 6 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((-6*(2 + sqrt(405))*-5)**2 - ((sqrt(405) - (-1 + sqrt(405)) - sqrt(405))*2 + -3*(1 + sqrt(405)))**2)*3.\nAnswer: 96930*sqrt(5) + 1073921","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 135, 1, 4, 3, -3, -18 in descending order.\nAnswer: 135, 7, 4, 3, 1, -3, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.419 bigger than -1939.6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1546 at least -224.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3820 - -7044. Let b be (4 - 6)*2 + x. Let z = b - 5460. What is z rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 337860390?\nAnswer: 2, 3, 5, 7, 229837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 416 + u + 3*u**2 + 3*u - 413 in the form v*u + r*u**2 + o and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ziijjziji. Give prob of sequence jz.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 48 + 16. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -2*z. Let p(g) = -g. Let h(y) = -5*p(y) + 3*w(y). Let q(u) = 34*u + 29*u + 36*u - 98*u. What is h(q(i))?\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -270, -562, -858, -1158, -1462, -1770, -2082?\nAnswer: -2398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) be the first derivative of -l**3\/15 + l**2\/5 - l\/5 - 1. Suppose h(v) = 0. What is v?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -283593*n**3 - 4*n**2 - 4585*n.\nAnswer: -1701558","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 141*q - 3805. What is g(27)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/((-440)\/492409) + (-2)\/(-11). Let n = 5588 + v. What is the common denominator of n and (1 - 1) + (-1)\/(-14)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10101010 (base 2) in base 13?\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1303531876?\nAnswer: 2, 325882969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 481*f**3 - f**2 - 16*f?\nAnswer: 2886","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3694741 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 34760 - 34695. Solve -43*m + 150 = -y for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 3) in base 6?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 u when two letters picked without replacement from stucstctytsttcuttct.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m**2\/3 + 26632*m - 47605030\/3 = 0 for m.\nAnswer: 605, 39343","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 82499482 divided by 137959.\nAnswer: 598","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26 - 21. Let m(c) = 2*c + 5. Calculate m(n).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6859?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10640 and 19520144?\nAnswer: 2128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(-5) - (-3 - (-153)\/45)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 28, 34, 40?\n\"Answer: 6*y + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*c + 2*c + 22*c - 3.\nAnswer: 11*c - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 764 + -760 + (-21 - (0 - (-6 - -3)))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 14505414 (base 6) to base 14\nAnswer: d2910","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 664 (base 7) to base 11.\nAnswer: 28a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 41 + -46. Let v be ((-24)\/(-15))\/(4\/10). Put v, z, 6 in decreasing order.\nAnswer: 6, v, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 644.5601ml?\nAnswer: 0.6445601","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x - 1. Let z = -16 - -15. Let a(g) = -3*g + 2. Let d(u) = 4*u - 3. Let w(q) = -3*a(q) - 2*d(q). Suppose -3 = -t - 6. Determine t*w(r) + z*f(r).\nAnswer: -r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 4231*v - 2 - 4236*v - 2.\nAnswer: -5*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -20299 divided by 3\nAnswer: -20299\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(1008) + 2 + 1 + (((-2 + sqrt(1008))*6 - sqrt(1008)) + sqrt(1008))**2.\nAnswer: -1716*sqrt(7) + 36438","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 + 15*f**2 + 3*f + 3. Let q(b) = b**3 + 23*b**2 + 3*b + 4. Give -6*o(m) + 5*q(m).\nAnswer: -m**3 + 25*m**2 - 3*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -567*p - 301*p + 26908 for p.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 99601568 and 1408?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -127348 - -2546143\/20. Let f = -133\/5 - q. What is the common denominator of f and 30\/11?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*d + 2*d - 2*d)*(-478*d**3 - 487*d**3 + 964*d**3 - 971*d) + d**3 - d**3 + d**4 in the form i*d**3 + l*d + b*d**2 + j + f*d**4 and give b.\nAnswer: -1942","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -121 + 684. Suppose -5*z = -2*y - r, 457 = 4*z + 2*y + 3*y. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/8)*z**(-10\/3))**(-1\/41) assuming z is positive.\nAnswer: z**(77\/984)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 5, -5 in ascending order.\nAnswer: -5, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 5*h + 756 = -18*a, -1128 = -5*h - 3*a. What is the remainder when 798 is divided by h?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4037*p + 4047*p - 16102*p + 4056*p + 3972*p.\nAnswer: 10*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(441)*-3)\/sqrt(9))\/(-1*sqrt(252)*4).\nAnswer: sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 28 + 32. Suppose -7*r + 1173 = 1131. Calculate the highest common divisor of r and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 413, 829, 1245?\n\"Answer: 416*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7179\/4 - -1809. Suppose 0 = -2*v - 2*v + 8. Calculate the common denominator of t and ((-216)\/16)\/(v\/3).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/8, -6, -8\/5, 175, 0, 0.0165 in decreasing order.\nAnswer: 175, 1\/8, 0.0165, 0, -8\/5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) -3\/13 (b) 2\/13 (c) 0.3 (d) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -h + 6*h. Suppose -q + 4*q = 4*k - 25, -12 = -3*k. Let d be -1 - q - 3*h. Let w(j) = 2*j**2 + j + 1. Calculate w(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/36*-3*(0 - 0). Solve z - 6 = -2*z, -4*t - 3*z + 14 = x for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 36 - 32. Calculate the remainder when 33 is divided by (-6)\/(-24) + 71\/b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 699 divided by 699\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 45.19273ml?\nAnswer: 0.04519273","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 305917 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/7, 14, -1, 2\/21?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 3*w**2 - 1218*w - 83880 = 0.\nAnswer: -60, 466","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 7*u + 22. Let c(x) = 4*x + 11. Let m(w) = -3*b(w) + 5*c(w). Let y be m(-11). Find the third derivative of -6*l**2 - 8*l**5 + y*l**5 + l**5 wrt l.\nAnswer: -420*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2505*o + 3873. Let u be h(-5). Calculate the highest common divisor of u and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -h + 1. Let r(n) = -n**3 - n**2 - n + 141. Let c be r(0). Let l be c\/h + 2 - 2. Calculate the greatest common divisor of 94 and l.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1243 and 10945.\nAnswer: 1236785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -h**4 - h**3 - 857*h + 1764*h - 10 - 69*h**2 - 865*h + 11 in the form t*h + m*h**2 + r*h**3 + b + n*h**4 and give t.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*x - 4*x + x)*(64*x**2 - 123*x**2 - 3 - 3*x + 27*x**2 + 26*x**2) to u*x**2 + b + f*x + z*x**3 and give u.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 38, 58, 128, 272, 514, 878, 1388, 2068?\n\"Answer: 4*b**3 + b**2 - 11*b + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -128\/3 - 2\/3*t**3 - 136\/3*t - 40\/3*t**2 = 0.\nAnswer: -16, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10420 or -3611?\nAnswer: -3611","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3 and 0.38722?\nAnswer: 3.38722","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4629 - -4647. Solve 48 - 12 = -o*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/770 and 27\/1430?\nAnswer: 10010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 - -30. Which is greater: -1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*n - 4, -3*n = -4*a + 467994. What is a rounded to the nearest 1000?\nAnswer: 117000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -16, -0.3, 4\/7, -97?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 2*w + 19. Give m(-12).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25030?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(70) + sqrt(70)*-2*-6 + sqrt(70))\/(sqrt(360)*1 - sqrt(10))*-2.\nAnswer: -28*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.025013 - 62.025063. Let w = 60 + o. Round w to four dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 2316.866km?\nAnswer: 2316866","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -48, -74, -100, -126, -152?\n\"Answer: -26*q - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 0.09, -1, -2.3, -4?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/1 + (-33041)\/(-16511). Is t <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 - 14*c**2 + 13*c - 6. What is v(13)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 + 22*b - 285. Determine v(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 182, 0, -1603, -8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1318, -5274, -11870, -21106, -32982, -47498, -64654?\nAnswer: -84450","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 4*h = -0*h + 3, p - 2*h - 3 = 0. Suppose -315 = -5*n - 4*w, -2*w = 3*n + p*w - 189. Is n a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the first derivative of -3*g**2 + 2*g**4 + 0*g**5 + 4*g - 4\/3*g**3 - 1\/3*g**6 + 1. Factor h(x).\nAnswer: -2*(x - 1)**3*(x + 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of j**3\/27 - 19*j**2\/9 - 80*j\/9 + 592. Find l, given that n(l) = 0.\nAnswer: -2, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 4*u = 65. Let i(s) = -4*s - s**2 - u*s + 8*s + 1. Give i(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 232 + 8*b**2 - 239 - 3*b**2 - 3*b**2 + 4*b**2 + b**2 + 10 + (-b + 0*b - b)*(9*b + 6 - 6) as g*b + z*b**2 + l and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 18 + (-86 - -74) + (13 - -2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 960554 to the nearest integer?\nAnswer: 980","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1228 and 14116?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -4*m**2 + 11*m + 6. Let h be q(-9). What is the units digit of h\/(-7) - (-12)\/(-21)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 2*n**3 - 632*n**2 + 50554*n - 98596 = 0?\nAnswer: 2, 157","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l**2\/7 - 8*l\/7 + 65\/7 = 0 for l.\nAnswer: -13, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-5 + (2 - 7) - -2) - -5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 9*c**3 + c**2 - c - 23. Let n be x(5). Let y = 1944 - n. List the prime factors of y.\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12072 = -4*n + t, 4*t + 15101 = 5*n - 0*t. Suppose -2*i - 3023 = n. What is i rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 1 = -11*u. Let t(m) = -7*m - 156 - 4*m**2 + 152 + u*m**2. Let d(l) = -3*l**2 - 6*l - 3. Determine 6*d(o) - 5*t(o).\nAnswer: 2*o**2 - o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00443695 rounded to five decimal places?\nAnswer: -0.00444","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -34954342, -34954344, -34954346?\n\"Answer: -2*p - 34954340","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i**2 - 333*i + 333*i.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-30)\/(-195) + (-10)\/(-104) + 0. Sort p, -11, -5 in increasing order.\nAnswer: -11, -5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 4*x**2 - 10*x + 12. Let r be t(6). Calculate the greatest common divisor of r and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 49*o**2 - o + 1. Suppose i + 2*i = -18. Let y(v) = -4*v - 7. What is the remainder when d(1) is divided by y(i)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/(-4)*1*(896\/(-42))\/16?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2809, 2808, 2807?\n\"Answer: -v + 2810","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14287 = -14*h + 3479. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3412471 - 3418435 = 142*i for i.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*n + 36 = 253 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 36 - 16. Suppose 0*m = -2*m + p. Suppose -5*v = -10, -5*c + 6 = -2*v - m. Solve -5*f + 5 = -5*h, -c*h - 3 = -7*f + 2*f for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.1 (b) 1\/5 (c) 2\/5 (d) -3 (e) 2772\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.02, 0, 2\/11, -1\/4?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 27665 + -27664.9. Let n = 3.3 + 0.7. Sort -0.1, -11, n, k in ascending order.\nAnswer: -11, -0.1, k, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 357667208 and 20?\nAnswer: 1788336040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 6*u + 4 = 2*u, 0 = c + u - 6. Suppose 4*q - 3*f - 132 = 0, -q = 5*f + c - 14. List the prime factors of q.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -29*b**4 + 677*b**3 + 48221*b.\nAnswer: -348*b**2 + 4062*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4611511 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-10)\/15 + (-12)\/(-27). Sort i, 2\/11, 0, -1\/3.\nAnswer: -1\/3, i, 0, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 PM and 6:35 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve u = -3*q + 336 - 326, -8 = -2*q for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65 + 2*u + 66 + 64 - 173.\nAnswer: 2*u + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5397 and 1718913.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 488*y - 219. Calculate n(0).\nAnswer: -219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = d**3 + 10*d**2 - 5*d + 26. Let q be w(-11). Let a be (-45)\/(-12) - (-30)\/q. Solve -2*m = -a*b - 25, b + 2*m - 15 = -2*m for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 0 = -2*h - 2, 0 = -2*h + 5*u + 14. Suppose 148 = -4*t + 792. Let o = -161 + t. Solve 0 = -h*l - o*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 207187793 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -39, -48, -57, -66, -75, -84?\n\"Answer: -9*d - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from exe. Give prob of sequence ex.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 5*n + 660. What are the prime factors of n?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6860708?\nAnswer: 2, 1715177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2*z**3 + 3)*(5 - 5 - 2*z) + (-2253 + 2253 + 75*z)*(-1 + 9 - 1)*(-z**3 + 3*z**3 + z**3).\nAnswer: 1571*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 + 16*u + 3. Let v be s(-16). What is the second derivative of -3 + v*f**2 + 5*f**2 + 1 + 0*f + 8*f wrt f?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/5, -2, 3, -4\/5 in ascending order.\nAnswer: -2, -4\/5, 2\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -370 - 36121?\nAnswer: -36501","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 - 2*f**2 - 2*f. What is b(-2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 PM and 7:23 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3*(-9)\/3*1253\/(-537)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/14, 5, -0.7?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0.5, 5, 62 in ascending order.\nAnswer: -5, 0.5, 5, 62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1807064, -1806944, -1806824, -1806704?\n\"Answer: 120*n - 1807184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {n: 12, s: 7}.\nAnswer: 220\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eoe when three letters picked without replacement from {o: 8, e: 3}?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5617*h + 458848 = 3207*h for h.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 690 = 7*d + 3*d. Let h be d\/18 + (-5)\/(-30). Let u(z) = z**3 - 4*z**2 + z - 4. What is u(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-1\/2)\/r**(10\/7) assuming r is positive.\nAnswer: r**(-27\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 4, 69, 3, 1.\nAnswer: -5, 1, 3, 4, 69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3*(-3 + sqrt(243) + sqrt(243)))**2 - sqrt(243)) + -6*(sqrt(243) + -1)**2)*-3.\nAnswer: -22095 + 2619*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -814, -797, -774, -745, -710, -669?\nAnswer: -622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2*p - 3)*(-2*p - 18036*p**2 + 8724*p**2 - 2 + 3*p**3 + 8515*p**2) in the form f*p + j*p**3 + w*p**4 + a + l*p**2 and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 1115 divide 2317863110?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/8 (b) 3\/5 (c) -4 (d) -0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -155, -583, -1735, -3617, -6235, -9595?\n\"Answer: -d**3 - 356*d**2 + 647*d - 445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g + 2*g + 3*g + (3*g + 2*g - g)*(-11 - 33 + 15)*(-3 - 4 - 2).\nAnswer: 1047*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -374274.0276 rounded to the nearest 10000?\nAnswer: -370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qa when two letters picked without replacement from {c: 1, d: 4, o: 2, a: 2, q: 1}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 95678 and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 15b (base 14) to base 9\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 1950*v + 116994. What is o(-60)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/3873 and 58\/255?\nAnswer: 329205","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, r: 2, f: 6, o: 2}. What is prob of sequence wrr?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes after 10:57 PM?\nAnswer: 5:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d + 5 = -5*v - 0*v, 0 = -2*d + 3*v - 16 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 27 (b) -2\/15 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/89? (a) 4 (b) 192 (c) 44 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4 + 2 + -2 + 10 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3*r - 3*r - 2*r)*(-2*r - r + r) + 2*r + r**2 - 2*r)*(-105 + 81 + 167) in the form z + q*r + h*r**2 and give h.\nAnswer: 715","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -835, -1670, -2505, -3340, -4175?\n\"Answer: -835*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 214945?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 23 (b) -4 (c) 0 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 136512 divided by -6?\nAnswer: -22752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2885372 divided by 4.\nAnswer: -721343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 684470\/24*2\/275. Let i = z + -2268\/11. Let j = 7\/5 - i. Sort 2, j, -2 in descending order.\nAnswer: 2, j, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/((y\/((y\/((y*y*y\/y**(-2))\/y)*y)\/y))\/y))**(-19)*y\/(y\/(y**(-13)*y))*y**13)**(-21) assuming y is positive.\nAnswer: y**(-819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44) + 2*sqrt(44) - (2 + (sqrt(11) - (sqrt(11) + sqrt(11)*2)))**2.\nAnswer: -48 + 14*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -190 and -65.\nAnswer: -255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 divided by -9?\nAnswer: -44\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.8 - 0.9852.\nAnswer: -0.1852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 837 divided by 3\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-12)*(-12)\/140*(-20)\/(-52)\nAnswer: -2\/91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r - 5. Let u(l) = l**2 - 5*l. Let z be u(5). Let v be c(z). Let x be (0 - 88\/12) + 1. Is x > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/4*(-26)\/(-3640)*-32*95.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*n**6 + 1692*n**5 - 3*n**4 + 1886*n**2 + 1 wrt n?\nAnswer: 480*n**3 + 101520*n**2 - 72*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (410*k - 4398 + 4398)*(4*k**2 + k**2 - 2*k**2) to d*k**2 + u*k**3 + z + a*k and give u.\nAnswer: 1230","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 822751 is divided by 40?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9182852 divided by 223972.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 757 + -1170. Let k = v - -2063\/5. Which is the closest to -0.1? (a) 0.07 (b) k (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 - 18*z**2 - 23*z + 151. Determine g(-16).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(5\/6)*(y*y**(3\/8)\/y*y)\/y*(y\/(y*y**(-6\/7)))\/(y*y**(1\/17)*y) assuming y is positive.\nAnswer: y**(19\/2856)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*p + 2*p + 2*p as r*p + t and give r.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.5, -16, 74, -3\/19, 2\/21?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 21225333?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*f, 4*c - 2*f + 955 = 977. Sort -2, 110, c.\nAnswer: -2, c, 110","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (4 - (-6 - -4) - 2 - 22)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-30)\/7)\/((-33)\/616). Suppose -5*x - s*d + 3 = -77*d, 5 = -x - 2*d. Solve x*u - 12 = 5*h, 3*u - 4*h + 3 = 15 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1.33 (b) -0.1 (c) 49 (d) -4\/5 (e) 0 (f) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/(u\/u**(-4)))**16)**(2\/7) assuming u is positive.\nAnswer: u**(-96\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/298 and 51\/8?\nAnswer: 1192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1598175 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 457095\/(-350)*(-5)\/(-2) + -3. Let a = w + 3269. Calculate the common denominator of (-201)\/(-80) + (-3)\/15 and a.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111 + 11101011?\nAnswer: 11100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 83*a*v**3 + 39*a*v**2 - 7*a*v + 7*v**3 - 1406 wrt a?\nAnswer: 83*v**3 + 39*v**2 - 7*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 5:08 PM?\nAnswer: 12:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 610 = 3*x + 12*x - 307835. What are the prime factors of x?\nAnswer: 20563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -1644.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10*8\/(-120))\/(-2).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/48 and 7\/204.\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16.91 + 17. Let q = w - 0.074. What is q rounded to 2 dps?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 155004385?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -76 - -73. Let x = 11.6 - 6.6. Which is the third biggest value? (a) x (b) -1\/5 (c) -1 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 12 = d. Let x = d - -6. Suppose -x = -3*r + 22. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -315 or 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 + 5*g. Let w be x(-6). Suppose 1056 = 113*p - 97*p. What is the greatest common factor of p and w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 70 and 16730?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) + sqrt(70) + -3*1*sqrt(70))*-5*-1)\/(2*((sqrt(250) - (3*sqrt(250)*-2 - sqrt(250) - sqrt(250)) - sqrt(250)) + sqrt(250))).\nAnswer: -sqrt(7)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 22257*d - 245002. What is r(11)?\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 179\/((-77686)\/372)*2\/3?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.1219 and 58.696554.\nAnswer: 58.574654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1074)\/(-9)*(6 + -3). Suppose 90 = -2*s + u. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 9805, 20067, 30791, 41977, 53625?\n\"Answer: 231*y**2 + 9569*y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 605*h**4 + 3 - 9 + 66*h + 683*h**4 wrt h.\nAnswer: 15456*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 21901290?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18 - (-9 + 8 - 16 - 1) - (-10 - -1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 5*z + 8. Let t be ((135\/(-30))\/(-9))\/((-1)\/12). Determine n(t).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -3. Let l(x) be the second derivative of -x - 1\/2*x**2 + 0 + 2\/3*x**3 + 1\/12*x**4. Calculate l(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2217*o**2 + 17*o + 14. Let t(g) = -18*g**3 - 2*g**2 + 2*g + 1. Let n be t(1). Let q = 36 + n. Let m be x(q). Round m to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h - 1. Let z be o(-1). Suppose -110 = 5*a - w, -3*w - 21 + 99 = -3*a. Let s be z - (-6)\/a - 0. Is s > -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in sixty-three eighths of a tonne?\nAnswer: 7875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 335 is divided by 56.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 12 = 4*f. Let q(u) be the first derivative of -u**4\/4 - u**3\/3 + 3*u**2\/2 - 3*u - 47. Determine q(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5 - -2)\/((-3)\/8). Let w = 10 + z. Calculate the remainder when 69 is divided by w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - ((-11 - (2 - 22)) + (-4 - -2))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15072 = -5*g - 152*g. Solve -106*p + g*p = 30 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -72 - -153. Suppose k + 65 = l + 2*l, 3*l + 3*k = o. Suppose -3*h - 4 = -40. Calculate the remainder when l is divided by h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 316084 is divided by 379?\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 99 (base 12) in base 6?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -959*x + 681 - 2612 + 2432*x + 144*x**3 + 1983*x + 1516*x**2 + 4*x**4 - 3189 = 0.\nAnswer: -16, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 30 = -r + 13, -4*v = -5*r + 191. Is r a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 5) in base 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -21d (base 14) to base 15\nAnswer: -1ce","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 3*k + 4, p - 42 = -2*k - 6. Which is the third smallest value? (a) 4 (b) p (c) 54\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001111110001001100 (base 2) in base 12?\nAnswer: -1390b8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 8:58 PM?\nAnswer: 9:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*m - m = 16*m + 280. Solve -28 + m = 4*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 - 25*w + 43. Let o be v(-10). Suppose -o = 2*b - 8363. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 156 a factor of 5304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**2 - 10960*a - 10961. What is g(-1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 10:13 PM?\nAnswer: 11:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 3 q when four letters picked without replacement from {q: 4, s: 3, t: 3, f: 2, u: 4}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*g**2 - 454*g + 454*g.\nAnswer: -4*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -21, 5, -16, 6, -1, -3 in increasing order.\nAnswer: -21, -16, -3, -1, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k - 12*k = -104. Calculate the smallest common multiple of 28 and k.\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 930, 0, 5, -4, 4 in increasing order.\nAnswer: -4, 0, 4, 5, 930","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -z + 2*b, -3*b - 15 = -0*z + z. Suppose -6*k - 3*o = -7*k + 10, -2*o = 4. Solve m + k*m = -15, z = -3*r - 3*m - 9 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 42344.\nAnswer: 2, 67, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of -19*i**3\/3 - 17*i**2\/2 + 8*i - 118. Let p(l) = -9*l**2 - 8*l + 4. Determine 13*p(o) - 6*u(o).\nAnswer: -3*o**2 - 2*o + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 43736 and 290136.\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(208) - (sqrt(208) + (sqrt(208) - 3*sqrt(208)) + sqrt(208) - sqrt(208)))*1 + sqrt(208))\/sqrt(4))\/(sqrt(180)\/(sqrt(5) - sqrt(20))).\nAnswer: -sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5336275 to the power of 1\/3, to the nearest integer?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 6, u: 1, a: 7, t: 2, j: 4}. Give prob of picking 1 t and 3 u.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -29*h**3 + 10*h + 20. What are the prime factors of i(-2)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(450)\/(sqrt(27)\/sqrt(3)) - (sqrt(6050) + 1 + sqrt(6050))))**2.\nAnswer: 840*sqrt(2) + 88204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q and 1 k when four letters picked without replacement from qkkqqkq?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -21? (a) -0.3 (b) -6 (c) 1 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 477786 and 9714982.\nAnswer: 29144946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oi when two letters picked without replacement from {a: 3, i: 3, o: 3, m: 1, w: 4, c: 1}.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve t**2\/2 + 133558169*t + 17837784506632561\/2 = 0.\nAnswer: -133558169","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) 19 (c) 2\/145\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -4*j**3 - 2*j - 1. Let t be y(-1). Let f be (-2)\/(-2*t)*2. Which is the biggest value? (a) 1 (b) f (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23 + 13. What are the prime factors of n + -2 - (3 - 0)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*d - 9*d = -2895. Let o = d - -983. What are the prime factors of o?\nAnswer: 2, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (51\/(-68))\/(36\/14). Is m greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5206453 millimeters to meters.\nAnswer: 0.0005206453","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -352792, 4 in descending order.\nAnswer: 4, -2, -352792","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -22240230521 - 3?\nAnswer: -22240230524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -850570, -850571, -850562, -850537, -850490, -850415, -850306?\n\"Answer: l**3 - l**2 - 5*l - 850565","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 392774, 785524, 1178274?\n\"Answer: 392750*v + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1439 less than -1326?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82 is divided by 19?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1081*s**3 - 1078*s**3 - 1070*s**3 + 6462*s**3 - 1074*s**3 - 1078*s**3 - 1078*s**3.\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in four fifteenths of a day?\nAnswer: 384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -14896\nAnswer: 3\/14896","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2407584148?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 v when three letters picked without replacement from wwwwwwwvwvww?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -34*p - 1010. Calculate the remainder when 1607 is divided by g(-30).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 4*h - 2 = 14, w + 3*h = -5 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 - 6*k - 5. Let u be r(7). Suppose u*b = b + 553. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1613 and -0.047.\nAnswer: -75.811","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 59769262, 59769261, 59769260, 59769259, 59769258, 59769257?\n\"Answer: -n + 59769263","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 230474?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.4 from 0.04059.\nAnswer: -1.35941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10021101202201 - -120?\nAnswer: 10021101210021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8253270 + -4703270. Let k be (-9)\/(1\/2*-3). Suppose -o + k*o = -t. Round o to the nearest one hundred thousand.\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -79 + -6 - (663 - 737)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -7311, -14067, -20809, -27531, -34227, -40891?\n\"Answer: n**3 + n**2 - 6766*n - 547","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 13694 + -12\nAnswer: 13682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.7*-0.6.\nAnswer: 1.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-5*(sqrt(2) + 1))**2.\nAnswer: 1250*sqrt(2) + 1875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 - 3*o**2 + o - 1. Let s(b) = 4*b**3 - 27*b**2 + 3*b - 4. What is s(n) - 3*x(n)?\nAnswer: 7*n**3 - 18*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12525.\nAnswer: 3, 5, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5*c**4 + 16*c**4 - 72 + 7*c**4 - 55*c**4 wrt c.\nAnswer: -108*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3288712 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4087.73072 rounded to 1 decimal place?\nAnswer: 4087.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1601963*h + 1602114*h = 22650 for h.\nAnswer: 150","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37*p + 31*p - 9*p + 26*p - 13*p to the form o + q*p and give q.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 151 - 151.14. What is the nearest to t in 3\/2, 0.2, 0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, o: 2, q: 4, u: 1}. Give prob of sequence oru.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 4 + (2 + 2 - 3)*(3 - 4 + 2) - 1 + 1 + 2 + 4 + 0 - 3)*(-i**3 - 2*i**3 - i**3).\nAnswer: -20*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-9)*(-69)\/(-230).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 - 19*f - 17. Let z be m(-31). Let n = z - -415. What is the highest common factor of n and 156?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-3 + sqrt(125) + 6*-1*sqrt(125)))**2.\nAnswer: 600*sqrt(5) + 12536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -504 divided by -126.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/7 (b) 0.06029 (c) -9 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -615 - -618. Let q be ((-6)\/30)\/(6\/(-150)). Solve 0 = y*m - 8*m - q for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 11 = 6*v, 6 = -v + 123*z - 122*z. Which is smaller: -30\/41 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 513070.\nAnswer: 2, 5, 51307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.303378594 to 2 decimal places.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8393746 is divided by 1695.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10\/13, 1\/2, -15, -1\/68 in decreasing order.\nAnswer: 10\/13, 1\/2, -1\/68, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -743, -808, -915, -1064, -1255, -1488?\n\"Answer: -21*b**2 - 2*b - 720","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(-30)*(-147)\/7 - 15?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5554101 (base 7) in base 6?\nAnswer: -22410323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 + 22*a**2 - 33*a + 91. Determine l(16).\nAnswer: 1099","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seven quarters of a century?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.26 + 0.06. Put 0.2, -3\/8, 32, x in decreasing order.\nAnswer: 32, 0.2, x, -3\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-54)\/45*375\/60?\nAnswer: -15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-20))\/(8\/10).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1149848 is divided by 3795?\nAnswer: 3758","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*x + 183*x + 7708 - 2352 = 0 for x.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -0*p - 3*i - 84, -p - 5*i = 35. Let v = -9 - p. Let y = 39 - v. Solve 0*n = -y*n - 6 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 496 and 132152.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4*1*999\/108. Suppose -30 = -3*f + 5*c, n + 23 = 3*f + 5*c. Solve -3*z = 2*z - f for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47778*i - 47781*i - 2 + 15*i**3 + 3 - 1.\nAnswer: 15*i**3 - 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 - 8*o. Let m be q(8). Suppose m*y = y - 19. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 731?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve k + 0*y + 7 = -5*y, -3*k - 9 = 3*y for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 - 0) + 28 + 1. Suppose 2 = 2*b, i - 2*i = 2*b - n. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = -3*l - 3*d, -3629*l + 3624*l + 3*d = 7 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r + 11. Let m(n) = 6. Let b(h) = 4*k(h) - 7*m(h). What is the remainder when 54 is divided by b(3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -28 - -31. Suppose -x*c = c. Suppose c = 3*z - 2*z - 48. Does 36 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 1 - (78 + -60 + 10 + 3).\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.679 - 2.71. Which is the nearest to 0.1? (a) s (b) 0 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 391154123?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -19584, -19531, -19490, -19467, -19468?\n\"Answer: -w**3 + 60*w - 19643","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1512) - 1*sqrt(1512)*6)\/(sqrt(6) + (sqrt(6) + sqrt(30)\/sqrt(5))*-3 - sqrt(24)\/sqrt(36)).\nAnswer: 45*sqrt(7)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1274*y**5 - 96 + 147 - 49 + 2*y - y**5 - 2*y + (-3*y**4 + y**5 + 3*y**4)*(0 - 1 - 1) - 2*y**5 + 5*y**5 - 2*y**5 - 3*y + 3*y - 2*y**5.\nAnswer: -1278*y**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 118 - 117.999975. What is a rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of 5*u**2 - 5. Let b(j) be the first derivative of 8*j**3\/3 + 9. Let c(y) = y**2. Let z(n) = -b(n) + 4*c(n). Calculate t(z(g)).\nAnswer: -40*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1313 is divided by 22?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 29\/5 of a milligram?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16669 is divided by 142.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-9*2\/4 + 3)*-2\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/12*(-5)\/2*-1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2481626 and 7922?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 9474 and 401066?\nAnswer: 1203198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 245187 to the power of 1\/2, to the nearest integer?\nAnswer: 495","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that -3*x**4\/2 - 39*x**3\/4 - 9*x**2\/2 = 0.\nAnswer: -6, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sum 17 and 0.01880179895103.\nAnswer: 17.01880179895103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1504 + 0.1496. Let y be 0 + -3 - 230\/(-80). Which is the smallest value? (a) u (b) 1 (c) -3 (d) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 9, y: 3, q: 6, v: 1}. Give prob of sequence nnv.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-9)\/6)\/((-1)\/(-6)). Let q = 22 + n. What are the prime factors of q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7892310?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -8.1997682 to 0 decimal places.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j*j**(2\/13)))\/(j**(3\/4)*j)*(j**(-2\/3))**(9\/10)*((j**(-4))**(4\/5))**(9\/2) assuming j is positive.\nAnswer: j**(-879\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 46400227 to the power of 1\/5, to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -91.2095571 to one decimal place.\nAnswer: -91.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 15.097216 + -1.358\nAnswer: 13.739216","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of 184 - 82*i + 199\/2*i**2. Differentiate y(g) with respect to g.\nAnswer: 199","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 - n + 5. Let t = -60 - -60. What is p(t)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3334043 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.24 in 3\/7, -4, 2\/103, 27\/7?\nAnswer: 2\/103","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 551?\nAnswer: 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r + 5. Let g(n) = -n - 3. Let x(j) = -3*b(j) - 5*g(j). Suppose -m - 21 = -5*v, 5*v = 2*m + 20 - 3. Calculate x(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 4\/16)\/((16 - 3)\/(-52)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 369*z**3 + 5*z**2 - 5*z. Let d(n) = -82841*n**3 - 1122*n**2 + 1122*n. Give -5*d(c) - 1122*h(c).\nAnswer: 187*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + 1)*4\/672. Let m(h) be the third derivative of 1\/60*h**6 + h**2 - a*h**8 + 0*h**4 + 1\/70*h**7 - 1\/15*h**5 + 0*h + 1\/6*h**3 + 0. Factor m(u).\nAnswer: -(u - 1)**3*(u + 1)*(2*u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 2\/9 (b) 1\/5 (c) 263\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gk when two letters picked without replacement from {k: 2, g: 6}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 137606854.\nAnswer: 2, 7, 11, 19, 131, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -71.75 - -33. Let l = 8.7 - 47.7. Let h = d - l. What is h rounded to 1 dp?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-192)\/(-80) + (-5720)\/(-325)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -14*q - 27. What is the units digit of v(-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -12.07236 and 4.\nAnswer: -8.07236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 257 + 14535*c - 744 + 247 + 240 to the form h*c + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -4565*x**3 + 30*x**2 - 30*x. Let j(u) = -2*u**3 + u**2 - u. Determine -30*j(m) + l(m).\nAnswer: -4505*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*n - 27 = 611. What is the least common multiple of n and (5 + 0)\/5 + 21?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -167044559\/18 - -9270082. Let j = -10757 + 20925. Let f = m + j. Find the common denominator of f and 17\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1217 take away 31?\nAnswer: -30.8783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 2*h - 0 + 2, 0 = -4*q + 4*h + 36. Suppose 134 = a + 2*t, 10*t - 6*t = q. Is 11 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 PM and 6:26 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11 + 2. Let i(y) be the third derivative of -y**4\/24 - 2*y**3\/3 + y**2. Is i(w) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 371\/136 + -40\/17. Sort x, 2\/9, 5.\nAnswer: 2\/9, x, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 192530?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 64\/53568*-27*217?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -13 - -33. Let a be (-10 + 10)\/(0 - 1). Suppose 30 = 3*d - a*v + 3*v, 0 = -3*v + 6. What is the least common multiple of r and d?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -129\/173455 or 0?\nAnswer: -129\/173455","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 648182?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 60 + -50. What is the remainder when 127 is divided by b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -78 + 76. Which is the fourth smallest value? (a) -3 (b) 0.1 (c) 3 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (9\/4 + 0)\/(33\/44). Let r(i) = i - 4. Determine r(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**4 - 5*x**3 - 8*x**2 + 12*x.\nAnswer: x*(x - 6)*(x - 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 4*k - 332 = -336, -2 = -4*h + 2*k. Solve 2*d + h*d = -11*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 985475 is divided by 984479?\nAnswer: 996","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2461199.\nAnswer: 13, 83, 2281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(2\/5)*(p\/(p\/p**(-3)))\/p*p)\/(p**(-1\/3)*p*p)**(-5\/3))\/((p\/(p\/(p\/p**(-4)*p)*p))\/p**5)**44 assuming p is positive.\nAnswer: p**(8\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1)\/(10\/(-16))*25\/10. Suppose b*a - 16 = 2*a. What is the remainder when 39 is divided by a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes before 9:51 AM?\nAnswer: 3:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + b = -3*d + 32, 2*b = 3*d + 20. Is 13 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 2*a - 5*d - 32 = 0, -5*a - 4*d = -4. Let g(p) = -3*p**2 + 9*p + 12. Let o be g(4). Suppose 4 + o = -a*v. Which is greater: v or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3151202*k**3*x + 7*k**3 - 11996*k**2 + 5*k wrt x?\nAnswer: 3151202*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -425 + 19.\nAnswer: -406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(2736)*1 + -5 - sqrt(2736) - -6*(sqrt(2736) + 0) - (sqrt(2736) + 6*(sqrt(2736) + 0) + sqrt(2736))*5)**2 + -1).\nAnswer: -15814200 - 20400*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3290929?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 - -26) + -12 + 3. Suppose 4*k - 20 = 0, -5*k = 13*q - 8*q - b. Suppose -16 = 5*z - 1. What is the biggest value in q, -0.09, z?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/(-112)*-56*1\/(-1))\/((-15)\/(-180))?\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 269 + -264. Suppose 4 = 3*z + 6*r - 10*r, n = -5*r. Solve z = -3*y - 3*y - 6 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 4*h + 63 = 0. Is 15 a factor of 2 + h + 1\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -255, -1009, -2265, -4023?\n\"Answer: -251*w**2 - w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*a*b**2*f + 35*a*b**2 + 227349*a*f**2 - 179*a*f + b**3*f**2 + 51*b**3*f + 79*b**2*f**2 wrt f.\nAnswer: 454698*a + 2*b**3 + 158*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10743 + 5539 + s + 5204.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 3*i - 12 = -0*i, -19 = -3*m + 5*i. Solve m*x - 15 = -2*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 - -1 - (25 - (20 + 33) - 36).\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 4*k = 10, 3*m - k = -2*m + 20. Is 4 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28302481909+0.12\nAnswer: 28302481909.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 18*a = -33. Let p(z) = -z**2 + z + 4. Let l(y) = -y - 1. Determine a*l(u) + p(u).\nAnswer: -u**2 - 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 527*h - 56798 + 41161 - 63275 = -1665*h for h.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -1412*u**3 + 26*u + 13. Let q(b) = 706*b**3 - 12*b - 6. What is 6*n(t) + 13*q(t)?\nAnswer: 706*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**2\/5 + 177*h\/5 + 2152158\/5.\nAnswer: -3*(h - 877)*(h + 818)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - (sqrt(1008)*-1 - sqrt(7)))*5 - ((sqrt(175) + -1)**2 + 2).\nAnswer: -178 + 80*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9.33 in 7, -11\/7, -1\/5, -0.4?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -634 = -2*h - 4*c, -3*c = -2*h + 513 + 156. Calculate the greatest common divisor of 21909 and h.\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n - 253 + 37 = 0. Let f be 545\/30 - ((-186)\/n - 5). Solve -26 + f = -4*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 18 - 18.02. Which is the closest to -1? (a) -0.5 (b) -2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -7*i - 21. Let v(b) = 1. Suppose 16 = 15*n + 1. Let c be -9*((-14)\/6)\/1. Let z(j) = c*v(j) + n*t(j). Let m(a) = a**2. Give m(z(l)).\nAnswer: 49*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -31 + 14?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39 + -12 + -17 + 8.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y**3 - 24*y**2 - 30*y - 1. What are the prime factors of p(18)?\nAnswer: 3347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1045, 2095, 3153, 4219, 5293, 6375?\nAnswer: 7465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -o**3 - 1873*o**2 + 19*o - 795646 wrt o?\nAnswer: -3*o**2 - 3746*o + 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7\/8, 3, -3\/7, 1\/5 in increasing order.\nAnswer: -7\/8, -3\/7, 1\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 4:45 AM?\nAnswer: 9:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 50 and 725?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 996, 1044, 1176, 1434, 1860?\nAnswer: 2496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 5*u**2. Let p(s) = 9*s + 6. Let w(g) = -8*g - 5. Let v(k) = -6*p(k) - 7*w(k). What is v(a(c))?\nAnswer: 10*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 - v**2 + v - 1. Let j(m) = -2*m**3 - m**2 - 2*m. Let o(a) = 13*a**3 + 7*a**2 - a + 6. Let y(t) = -2*j(t) - o(t). What is -5*q(x) + y(x)?\nAnswer: -4*x**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/(-12)*(-3 - 1). Let p = 0.6 + -0.1. Which is the third biggest value? (a) p (b) 2\/3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4 - -2. Let h = v + 4. Suppose i = h - 0. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -112 + 128. What is the lowest common multiple of y and 11?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 - 6 - (3 + 0)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nla when three letters picked without replacement from {y: 5, c: 1, l: 2, a: 1, n: 3}.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/6)\/(31\/(2697\/(-29)))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 23389 to the power of 1\/2, to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*v**3 - 13*v**2 + 16*v**2 + 3*v**3 wrt v?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(1\/2))**(-46)*u**(2\/13)\/((u\/(u\/u**(-1)))\/u) assuming u is positive.\nAnswer: u**(-869\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-16)\/(-9) - 8\/(-36). Let k(w) = w**2 - 2*w + 2. Let q be k(t). Suppose -3*z + 61 = 2*f, -51 - 79 = -4*f + q*z. What is the tens digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -915 or -916?\nAnswer: -916","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from {p: 9, x: 11}?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 18840516 to the power of 1\/3, to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/2296 and -7\/738?\nAnswer: 20664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 407266752?\nAnswer: 2, 3, 2121181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + (-5 - -9 - 6) - (-13 - 46)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*x = -2*w, -5*w - 3*x - 9 - 11 = 40 for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30.11 - -30. Put y, -5, 0 in ascending order.\nAnswer: -5, y, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 45 - 49. Let v be (-12)\/24 + (-2)\/o. Factor -1\/5*n + v + 1\/5*n**2.\nAnswer: n*(n - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 220, -2, 1 in increasing order.\nAnswer: -2, 1, 220","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 226516231 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o**3 - 59*o**2 + 69*o - 240. Does 10 divide x(-35)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -10411 bigger than -10411?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 16*i**4 + 4*i**2 + 511?\nAnswer: 64*i**3 + 8*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*m**3 - 363 + 239*m + 3*m**2 - 23*m**3 - 401*m - 201*m = 0. What is m?\nAnswer: -11, -1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.20456 + 19.77344. Let v = m - -0.022. Let c = 35.7 - v. What is c rounded to zero dps?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2670 - 1377*p + 2667 - 8028 + 2677.\nAnswer: -1377*p - 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 14756056 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.922529 - 0.282686. Let c = -1.64 + i. What is c rounded to five decimal places?\nAnswer: -0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 10 - 2 = 0, -u = -2*z - 2. Suppose -2*d + 0*d + 14 = z. Solve 5*p - 27 = 3*t, 17 = -p - d*t + 2*t for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 1315*z**2. Let i(m) = -402867*m**2. Determine j(i(l)).\nAnswer: 213426892891035*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 36891 to the nearest integer?\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*j - 3. Suppose -2*n + j = -4*n. Which is greater: -4\/19 or n?\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 - (30\/(-5))\/3. Solve d*x + 8 = 4*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + 1. Sort -0.5, 0, d.\nAnswer: -0.5, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*q - 3*d - 15, -3*q - 2*d - 6 = 4 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4539*h**3*u**2 - 7393954*h**3 - 42*h*u**4 wrt u.\nAnswer: 9078*h**3*u - 168*h*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1698 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*x = -123 + 137 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 27 and 10.\nAnswer: 270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -311048227 and -31?\nAnswer: 311048196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1.35 and -36.20413.\nAnswer: -34.85413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 84 divide 1174?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -4*s**2 + 735*s - 31569. What is b(68)?\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 AM and 4:02 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of v**4\/12 - 798*v**2. Let u(g) = 132*g + 2. Calculate u(h(i)).\nAnswer: 264*i + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 490 + -301. Let y be 273\/(((b\/(-12))\/(-7))\/3). Suppose 44*o - y = 42*o. Calculate the remainder when o is divided by 37.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w**3 + 140*w**2 - 608*w + 624 = 0. Calculate w.\nAnswer: -39, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -174*g**2 + 348*g**2 - 27 + 49 - 181*g**2.\nAnswer: -7*g**2 + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 2324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*z**2 + 1087*z + 1088*z + 9 + 2*z**3 - 2182*z - 2*z**3 - 4*z**3 as k*z + p + q*z**3 + m*z**2 and give p.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 + b**2 - b + 5. Let s(d) = -d + 3. Let p be s(3). Let n be a(p). Solve o = 0, 5*k - 2*o + n*o = 15 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100073 to the power of 1\/2, to the nearest integer?\nAnswer: 316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 + 11.7. Let m = 2 - 3. What is the second biggest value in -3\/2, r, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10 - -31?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 93*p**4 + 6*p - 93*p**4 - 2*p**5 + (-p + 0*p + 3*p)*(-160*p**4 - 306 + 306).\nAnswer: -322*p**5 + 6*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16491852?\nAnswer: 2, 3, 13, 131, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, g: 6, n: 1}. Give prob of picking 2 g.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 45, 58, 85, 132, 205, 310, 453?\nAnswer: 640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(320) - sqrt(605)*-3.\nAnswer: 41*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4498358, -4498354, -4498350, -4498346, -4498342?\n\"Answer: 4*f - 4498362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(2\/7))**(-2\/51)\/((a\/(a\/(a\/(a**(-18)\/a))))\/(a\/(a**(4\/5)*a))))**(5\/11) assuming a is positive.\nAnswer: a**(-12406\/1309)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 3 - 4)*(-2 + 2 + h) + 14*h + 18*h - 8*h + 0 + 2*h + 0 as o + b*h and give b.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 62469 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -26 + 23 - (-5 - (4 - 15))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -313101 (base 4) to base 16.\nAnswer: -dd1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -63? (a) 41408 (b) -6\/5 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -705*n - 516*n - 414*n - 42*n = -117390 for n.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -38 + 39.7. Let u = -0.7 + g. Which is the closest to -0.2? (a) -1\/4 (b) u (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002193154864 to six decimal places.\nAnswer: 0.000219","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 797978428 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 the closest to -5 in 3\/7, 0, 10, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -9*k + 10*k, 5*k - 20 = -4*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -85391 + 148867. List the prime factors of h.\nAnswer: 2, 7, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 9049 from -10854.\nAnswer: -19903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 168677, 168671, 168663, 168653, 168641?\nAnswer: 168627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -245 + 126. Let t = -42 - l. What is the highest common divisor of t and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 159, 4, -328, 1.7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-20)*0*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 - c**2 + c - 2. Let r be x(0). Let j(u) be the third derivative of u**6\/120 - u**5\/30 - u**4\/6 - u**3\/3 + 11*u**2. Calculate j(r).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2\/1119 + -1990\/373. Put r, 3, -0.7 in decreasing order.\nAnswer: 3, -0.7, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 - 7*k**2 - 5*k - 8. Let b be i(-7). Let r = b + 25. Let n = 11 + r. What is the tens digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1515497?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of o**2 + 7*o - 4. Let y be c(6). Suppose 2*x - 4*x + 38 = 5*b, -3*x + 2*b + y = 0. Is 9 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/7)*q)\/q*q**(-2\/15)*((q\/(q\/(q*q\/((q\/(q*q**(-1))*q)\/q)*q)))\/q)**(-44) assuming q is positive.\nAnswer: q**(-4604\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*j + j - 5*j)*(-128 + 39 + 29) + 3*j + j + 0*j - 4 + 4 - 2*j.\nAnswer: 542*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -28495, 21, 7 in increasing order.\nAnswer: -28495, 7, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32 and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41, 27, 1, -43, -111, -209, -343, -519?\nAnswer: -743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-3\/5)\/q)\/q*q*q)**(-3)\/(q**(-2\/3))**1 assuming q is positive.\nAnswer: q**(37\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 16628 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w = 153*y - 134*y - 207, -78 = -7*y + w for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 3*d - 32 = -4*c, 5*d = 3*c - 34. Sort d, 0, -2.\nAnswer: d, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1651*s + 27280 = 1558*s - 43921 - 114921 for s.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(3402) + sqrt(3402))\/(sqrt(600) + sqrt(600)*2 - sqrt(600)))**2 + -4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-476)\/833)\/((-2)\/(-301)). Let u = -18 - -6. Let y = u - s. Round y to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 36, 10, -6, 4, -5, 742 in decreasing order.\nAnswer: 742, 36, 10, 4, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*w = -6*w + 22*w - 7*w - 125 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dclldcdody. Give prob of picking 1 d and 1 o.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 - 11*v**2 - v - 6. Let p be j(-11). Suppose -3*b + 4*g = 0, -p*b - 7*g = -2*g - 35. What is the highest common divisor of b and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 16140*x**4 + 2349.\nAnswer: 64560*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 32 = 47. Calculate the greatest common factor of o and 80.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47 a factor of 19928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*x = 3*x - 77*x + 840 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + u + 2*m = 6, 0 = 2*u - 2*m + 6. Suppose u = 6*r + 163 - 1081. Calculate the greatest common factor of 17 and r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10272 divided by -24?\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 355.\nAnswer: 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - -19. Suppose 0 = -3*g + 10 + 17. Let d = h - g. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4\/21 - -10\/21. Let z = -0.04 - 1.96. Let s = -1.8 - -6.8. Which is the nearest to i? (a) s (b) z (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -0.2, -1\/4, 5, 59, 20\/233?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -984 (base 10) to base 13\nAnswer: -5a9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.03 * 8441.\nAnswer: -253.23","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 + 8 + 5*o + 3*o + 0*o - 5*o - 5*o + 2*o + 5*o + (-1 - 2 + 4)*(2*o + 0*o - o) - 5*o + 0 + 0 + 3 + 6*o - 4*o + 1 in the form f + m*o and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, -66, 5, 3 in ascending order.\nAnswer: -66, -5, -3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes after 5:50 AM?\nAnswer: 10:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 112 and 21475790?\nAnswer: 171806320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37, -51, -87, -157, -273, -447, -691, -1017?\nAnswer: -1437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -1*(0 + 1 - 92). Let w = -187\/2 + i. Suppose 0 = -t + 4 - 5. Which is the third biggest value? (a) -0.4 (b) t (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**2 - 3. Let v(w) = w**2 + 4. Let f = 14 - 17. Let s(r) = f*v(r) - 4*j(r). Let u(q) = -9*q**2. Determine s(u(m)).\nAnswer: 81*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 0, v - 4*u + 0*u = 2. Find y such that -2*y**v - 12*y**2 + 11*y**2 - 9*y = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3*1 - (-13 + 14). Solve -4*q - 3*d + 12 = d, -2*q - d + r = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 239 = i, 2*i = i - 4*w - 239. Let t = -106 - i. List the prime factors of t.\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 8, 2, -0.1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -v**2\/7 + 827396*v\/7 - 171146035204\/7 = 0.\nAnswer: 413698","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 141 and 962510133.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/2 - (-72)\/(-30). Which is the nearest to 1\/2? (a) -0.5 (b) 5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (111\/333)\/((-2)\/(-72))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 234469 = -42*v + 43*v, -2*v - 351721 = -3*a. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 3*m + 3. Let w be h(-17). Let l = w + 50. Which is the smallest value? (a) 0.4 (b) -0.5 (c) 3 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = -t - 2*n + 10, 0 = 2*t + 2*n - 10. Suppose 2*m - 13 + 1 = t. Calculate the remainder when 17 is divided by m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 8, 4, 2\/7 in decreasing order.\nAnswer: 8, 5, 4, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) be the second derivative of p**8\/6720 + p**7\/420 + p**6\/180 - p**5\/120 - 3*p**4\/4 + 9*p. Let a(j) be the third derivative of w(j). Give a(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -38 + 10. Let r = -2 - p. What are the prime factors of r?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30995 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1916 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3031000 rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 86, -3285, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 + 6*q + 4. Let l be b(-6). Suppose 4*k - l = -2*i, 12 = 3*i + k - 9. Suppose -w - i = -3*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 are the prime factors of 679?\nAnswer: 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 173\/1641066 and 8\/80752455?\nAnswer: 6621701310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + f + f)*(5*f**2 - 2*f**2 - 2*f**2) - 4*f**3 + 2*f**3 + 3*f**3.\nAnswer: 3*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 44881 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 65445, 131861, 198277, 264693, 331109?\nAnswer: 397525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**48*s**(-3\/5)\/s**(-1))\/(s**(2\/3)\/(s**(-4)*s))**(2\/11) assuming s is positive.\nAnswer: s**(716\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 6 = -5*p + 74, -32 = -3*p - y. Solve -p = -3*a, 0 = 4*f - 0*a - a - 12 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1102 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g. Let c(t) be the second derivative of -1\/2*t**3 + 0 + t + 0*t**2. Give w(c(d)).\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 693569?\nAnswer: 693569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1749 and 264?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/4*(6 - 4)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -t**2 + 8*t - 14. Let n be z(4). Let g be ((-1)\/n)\/(1\/(-10)) - 0. Solve 4*v - 33 + 12 = g*b, -3*b + 2*v - 13 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2664974 is divided by 444158?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(96)*-3)\/sqrt(12))\/(sqrt(32)\/sqrt(8)*4).\nAnswer: -3*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p + 3. Let t be r(-3). Let x = 5 + t. Suppose -2 = -x*a - 0. Let f(v) = 5*v - 1. Calculate f(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57462.73 decades in years?\nAnswer: 574627.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 207240?\nAnswer: 2, 3, 5, 11, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -1 + -16 + (-9 - (-19 + 6)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5252*f**3 + 4514.\nAnswer: -15756*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -5*y - 70. Let d = -110 - -115. Let i be 2*(50\/(-4) + d). Let l be x(i). Which is the nearest to l? (a) -0.1 (b) -0.5 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*x = 14*x - 16. Suppose -16 = 2*g + 4*q, -4*g + 4*q - x = 24. Let y = g - -9. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + v - 64 = 0. Sort 1, -0.4, v in ascending order.\nAnswer: v, -0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**3 + 252*z**2 + 1384*z - 1632.\nAnswer: -4*(z - 68)*(z - 1)*(z + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 409562?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 9 = 2*c, 0 = i + 3*c - 18. Suppose h - 11 - 6 = -3*r, i = 5*r + h. Suppose 0 = 2*q - q + m - 14, 4*m = -3*q + 45. Solve -r*s + q = 1 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 243*n**3 - 7105293*n**2 + 51921726672*n + 259786296060.\nAnswer: 3*(n + 5)*(9*n - 131602)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 2358 divide 8219988?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14292436 is divided by 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13693\/44 - 3382\/11. What is the common denominator of n and 67\/1856?\nAnswer: 1856","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5520 - -5520. Sort -3, 21, -2, -30, h in descending order.\nAnswer: 21, h, -2, -3, -30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**1)**(-3)\/((f**(-2\/3)*f)\/f)**25)**(2\/21) assuming f is positive.\nAnswer: f**(82\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -976 - -1012. Which is smaller: s or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 31\/10 + -38\/15. Let z = -277862\/50235 + -7\/3349. What is the common denominator of c and z?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - 1\/1)*-2. Let z(b) = -90*b + 273*b - 91*b - 89*b + 1. Calculate z(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 448154?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-3))\/((-10)\/(-75))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*b + 765 = 3572. What is the hundreds digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0013816155805 rounded to six dps?\nAnswer: -0.001382","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -101795460 divided by -4?\nAnswer: 25448865","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6.2 + -3.5. Let v = t - 3. Put -21, v, -4 in ascending order.\nAnswer: -21, -4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120011 - 11?\nAnswer: -120022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + c = -0*s + 14, 5*c + 8 = s. Suppose 2*q = 7 - s. Let w = -4 + q. Is -3 greater than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 - 5*a. Let z(m) = m - 1. Suppose 2*q + 1 = 3*q. Let k(x) = q*l(x) + 5*z(x). What is the first derivative of k(g) wrt g?\nAnswer: 3*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -374192 divided by 187096.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 407*s - 195. Let o(p) = 129*p - 65. Calculate 10*o(c) - 3*x(c).\nAnswer: 69*c - 65","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -73*r + 62*r - 38*r + 594*r to n + l*r and give l.\nAnswer: 545","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide (-14*(-3)\/15)\/(78\/57135)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 6, o: 7}. Give prob of sequence zz.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = -23*g + 16*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 PM and 4:36 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + 1\/(2\/10). Find v, given that 0 + v**5 - 5*v**4 + 6*v**c + 0 - 8*v + 4*v**2 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -133*f + 2117. Give m(16).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 213.0747ml in litres?\nAnswer: 0.2130747","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 0.03, -1\/3, 37, 1, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the third derivative of 0*d - 1\/60*d**5 + 0 + 0*d**4 - 2*d**2 + 0*d**3. Let k(h) = -4*h**2 + 8. Give k(s(z)).\nAnswer: -4*z**4 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 18 = y, 3*u - 2*y - 4 = u. Let i(m) be the first derivative of m**4\/4 + 4*m**3\/3 + 2*m**2 + 6*m + 18. Let j be i(-3). Solve -13 - j = u*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 5 + (-1 + -2 - -1). Suppose 3*z + 2*j - 7 = p*j, 2*j - 6 = -4*z. Let s be 0 - 2\/z - -6. Let g(w) = w - 12. Calculate g(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r - 1162*r**3 - 2*r + 1155*r**3.\nAnswer: -7*r**3 + r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*((m*m*m*m\/m**(3\/4)*m)\/m)\/m)**(-30)\/(m**(-4\/3))**(1\/75) assuming m is positive.\nAnswer: m**(-57367\/450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 822241143?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 + 3*c - 3. Let l(i) be the second derivative of i**4\/4 - 4*i**3\/3 + 4*i**2 + 132*i. Determine -4*l(a) - 11*u(a).\nAnswer: -a**2 - a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jmddjsdmdmjddd. Give prob of sequence jmms.\nAnswer: 3\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2 - 2)*(4*g - 2*g + 0*g) - 3*g - 1 + 1 + (4 - 1 - 5)*(g + 0 + 0) - 3572 + 3572 + 31*g as j + d*g and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 42 divided by 20\nAnswer: 21\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -58 + 65. Let n be (39\/(-13))\/((-3)\/m). Suppose 3*r - 7820 = -y, 2*r + 13000 = n*r - 5*y. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36 + 25*u**2 - 40 - 25*u**2 - 9*u**3.\nAnswer: -9*u**3 - 76","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r**2 + 45273*r - 498366 = 0. Calculate r.\nAnswer: -15102, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 174272353 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4015663 and 0.046.\nAnswer: 4015663.046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 4*m + 12 + 0 = 0, -5*q - 4*m + 15 = 0. Let y be q\/(-2)*(1 + -5). Solve 2*r + y = -0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -2*m. Let w(x) = 0*x - 9 + 12 + 14*x + 7*x. Give w(q(v)).\nAnswer: -42*v + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -36 - 82?\nAnswer: -b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29*v**3 - 29*v**3 + 47*v**4)*(-3*v - 3 + 3) + (2*v**4 + 0*v**4 - v**4)*(-4*v + 6*v - 3*v).\nAnswer: -142*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = -9*x + 8*x + 7246, 3*x - l - 21728 = 0. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from afimk. Give prob of picking 2 a and 1 k.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 36431.681 to the nearest 1000.\nAnswer: 36000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*y - 28*y - 49 = d, 53 = 5*y + 3*d for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5 (b) 59\/5 (c) 116 (d) -0.09 (e) 4 (f) -4\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x - 1. Let p be y(5). Suppose -c = -u - 8, -21 = -p*u + 6*u - 3*c. Let v = 3 - u. What is the highest common divisor of v and 54?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 3*b + 96 = 0, 3*m - 3*b - 157 = -85. What is the biggest value in -3, -0.3, m, 0.1, -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = 2*i - 4*w, 5*i - w = 0. Suppose s - 3 - 9 = i. Suppose a - s = -a. Calculate the highest common factor of a and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, o: 1, x: 2}. Give prob of picking 2 x and 1 e.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-5)\/(-8)*5246\/305?\nAnswer: 43\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1086 + -371. What is the highest common divisor of p and 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -13 and -0.048475304558.\nAnswer: -13.048475304558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 113 - -278. Find the third derivative of 391 - l + 44*r**4 - 36*r**2 - 18*r**2 wrt r.\nAnswer: 1056*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 - 6. Let k = 0 - t. Which is smaller: -7 or k?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-84)\/18)\/(2\/(-3)). Calculate the common denominator of -4 + o\/(-12) + -5 and 29\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6.9213 + 7.3213. Let z = -8 - 3. Sort -7, z, v in ascending order.\nAnswer: z, -7, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*j + 17*j - 72*j.\nAnswer: -53*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 + 11. Let h be p(0). Let l be (-120)\/(-55) - ((-16)\/(-44))\/2. Suppose -4*w = 5*m - 19, -l*m = -11 + 5. Solve -h = 3*z + w for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 AM and 11:13 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/3497, 0.3, 0.05 in decreasing order.\nAnswer: 0.3, 0.05, 2\/3497","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xfxuffffffxuxuxxa. What is prob of sequence xxa?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 - (-574)\/49) + -6. Which is bigger: 4 or g?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -51 - -391. Calculate the greatest common factor of x and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h + 212. Let l(j) = j + 107. Let w(o) = -6*g(o) + 13*l(o). Let n be w(-17). Solve -2*c + 2 - 4 = n for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 871997.8 micrograms to nanograms.\nAnswer: 871997800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 40041089 and 13508?\nAnswer: 160164356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 71 + -31. Let j be (-300)\/8*2*-76. What is the common denominator of 73\/10 and j\/b*(-2)\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 314, 2475, 8334, 19739, 38538?\nAnswer: 66579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162*g = 503*g - 25376 - 5214 for g.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/2, 20\/17, 4, -1, -4, 2\/27?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 85501247*i*o**2*w**3 - 68*o**2*w**3 + 515206*o**2 wrt i.\nAnswer: 85501247*o**2*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from guvvvvuvvttv. What is prob of sequence uu?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 PM and 10:45 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 187907729?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 19 = a, -39*m + 5*a = -35*m + 23 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 2\/13 (c) 2\/19 (d) -32.52\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 + 2*f**2 - f + 1. Let c(u) = 2*u**3 - 10*u**2 + 9*u + 2. Let x be 1*-1*((-8 - -6) + -1). Let s(h) = x*q(h) + c(h). What is s(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3*(-19)\/(-912)*592?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 2\/15211?\nAnswer: 2\/15211","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 - 12. Which is the second biggest value? (a) 2\/11 (b) 5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -20*j**2 - 24*j - 29. Let s(o) = 7*o**2 + 9*o + 9. Let m(t) = -6*b(t) - 17*s(t). What is m(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the third derivative of -t**7\/1260 - 7*t**6\/720 - t**5\/72 + 31*t**4\/144 + 5*t**3\/6 - 2202*t**2 - 3. What is a in z(a) = 0?\nAnswer: -5, -3, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2429\/3 or -810?\nAnswer: -2429\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c - 1. Let y be h(6). Suppose 2*p + g + y = 6*g, 3*g = 3*p - 6. Find the second derivative of -r + r**2 + 3*r**p - r**2 wrt r.\nAnswer: 60*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -2*w**3 + 9*w**2 + 6*w - 32. Let r(t) = -6*t**3 + 21*t**2 + 17*t - 92. Give 17*l(v) - 6*r(v).\nAnswer: 2*v**3 + 27*v**2 + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1529217 is divided by 254760.\nAnswer: 657","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -3*b + 7*a + 37, 3*a - 39 = -5*b. Let p be (-1 + 1)*(-1 - 0). Suppose -n + b*n - 440 = p. Does 13 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1274, -2, -3, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = -65*q + 54*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 118658 and 1538048.\nAnswer: 1502","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 137382?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2797735?\nAnswer: 5, 559547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -74*u + 28. Let t(d) = -110*d + 44. Calculate 5*t(c) - 8*w(c).\nAnswer: 42*c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9427 and 297.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 160924.\nAnswer: 2, 40231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a**(-1\/13)\/a)\/a)**(-3\/4))**(-2\/21) assuming a is positive.\nAnswer: a**(-1\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d - 2*u - 38 - 642, -4*d - 682 = 3*u. Let v = -84 - d. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*p**3 - 44*p**2 - 14*p = 0. Calculate p.\nAnswer: -7\/8, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76535 is divided by 23519?\nAnswer: 5978","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18 - 4. Suppose 7 + l = 7*w. Solve 4 = -w*q - 11 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002817649 to 6 decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -8*s - 2*s**3 + 13 + 0 - 3*s**2 - 7 + 2*s. Let p(w) = 2*w**3 + 2*w**2 + 7*w - 7. Calculate 6*p(n) + 7*y(n).\nAnswer: -2*n**3 - 9*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - (2 + 0)) + -30 + 28?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-g - 4*g + g)*(3 + 4 - 1) as m*g + t and give m.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.056 + 4.956. Let g = -0.1 - p. Which is the nearest to 2\/7? (a) 1 (b) g (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001696359 to six decimal places.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -11 + (-10 - (-2 + -11)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13916.44 kilometers to nanometers.\nAnswer: 13916440000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + s = 5*y + 15, 2*y = -3*s - 6. Let o(k) = 5*k + 5 + 0 + s + 1. Let i(b) = b + 1. Give -22*i(c) + 4*o(c).\nAnswer: -2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 2*f - 34354 = 0, 0 = -3*f + 8 - 2. Is z\/(-54) - (-2)\/(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((sqrt(99) + 0 - sqrt(99))*-2 + sqrt(99))*-3)**2 + -5*(1*1*sqrt(99) + sqrt(99) - (((-2*sqrt(99) - sqrt(99)) + sqrt(99))*5)**2).\nAnswer: -12*sqrt(11) + 50392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 2*(-2*2*sqrt(1053)*6 + (5 + sqrt(1053) + -1 + sqrt(1053) + sqrt(1053) + sqrt(1053) + sqrt(1053))*5)**2.\nAnswer: 720*sqrt(13) + 2902","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 + 20*g - 82. Let n = 25 + -15. What is the smallest common multiple of a(13) and n?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 39*y**2 + 24*y - 17. List the prime factors of s(6).\nAnswer: 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -152 divided by -28468?\nAnswer: 38\/7117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 4 = -r + 1, 0 = 4*z + 8 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o + 55*n - 54*n + 269, -4*o = 2*n - 218. Solve o*q - 49*q = -25 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-36)\/14)\/((-6)\/28). Suppose b = 5*l + 2. Solve l*o + 11 = 1 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/2 of a millennium in centuries?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5898 + -64928\/11. Is -24\/13 <= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-4\/9)*(m*m**(-1\/10))\/m*m*(m\/(m*m**3)*m)**(-13) assuming m is positive.\nAnswer: m**(2381\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22797 - 21394. What is the highest common divisor of p and 253?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -209? (a) -0.4 (b) 5\/4 (c) -10 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 3*j = -6*r, -4*j = 2*r - 4. Let c(k) = 650*k - 103. Is c(r) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0819*0.3\nAnswer: 0.02457","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**3 + 10*k**2 - 6*k + 8. Let t be d(8). Let u = t - 58. What is the remainder when u is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6 or 18.94?\nAnswer: 18.94","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 235 is divided by 30?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15942 - -17391. Calculate the least common multiple of x and 207.\nAnswer: 1449","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of 15*r**2\/2 - r - 1. Let s be i(1). Calculate the lowest common multiple of 9 and (-6)\/21 - (-46)\/s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2 - -3188) + -6 + 9. Let v be 159\/(-4)*2580\/(-5). Suppose -l - v = -t. Round t to the nearest 1000.\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 227767?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (13 - -2 - -4) + (-13 - 7 - -16)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + k + 15 - 5 = 0, 2*k = 3*c - 25. Suppose -u - 20 = 3*u, -143 = n - c*u. What is n rounded to the nearest 10?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -335026.7 times 1?\nAnswer: -335026.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.012 and -82788.\nAnswer: -993.456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -25? (a) -0.1 (b) 2 (c) -204\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (534*o**3 - 749*o**3 - 3*o**2 + o - 294*o**3)*(3 + 0 - 4) in the form s*o**3 + u*o**2 + j*o + l and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*x = 402 - 38. Let h be 6\/(34\/x - 2). Which is smaller: h or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*k + 2*k + k + 10 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1994734?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1581 is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00631431 to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 4*v + 9 - 1)*(3*v**2 - 3*v**2 + 2*v**2).\nAnswer: -8*v**3 - 4*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37076 is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -235 or -233?\nAnswer: -233","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 + 4*w**2 - 4*w + 10. Suppose -9*l + 53 - 4 = -50. Let h(p) = -3*p**3 + 11*p**2 - 11*p + 30. What is l*c(f) - 4*h(f)?\nAnswer: f**3 - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1689 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79 + 24 = -11*y + 6*y for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -16\/9*h - 2\/9*h**4 + 4\/9*h**3 + 0 + 8\/9*h**2 = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 8464.961ug?\nAnswer: 8464961","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = 3*l + 45. Let y = 41 - l. Suppose -y*d + 36 = -20*d. Solve 0 = -0*i - d*i - 15 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 62*a - 59*a. Let s be ((-8)\/(-20)*-3)\/((-2)\/a). Solve -3*g + 16 = -5*j, 0 = -s*g + 4*g + 2*j + 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is z in z**4 + 159699*z**3 + 1756512*z**2 - 8942468*z + 9581280 = 0?\nAnswer: -159688, -15, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -919*k**2. Let w(i) = -4*i**2. Give t(w(h)).\nAnswer: -14704*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -14983, -1\/4, 5, 3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-31 + 17 - 73)*(-1 + 2 + 1) - 1 + 1 - 6)*(2 - 3 - 5*r - 4*r).\nAnswer: 1620*r + 180","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - q = -2*j - 6475, -5*q - 5 = 0. What is j rounded to the nearest 100?\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.8654458 to 3 decimal places.\nAnswer: -13.865","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -124 and -6786\/55 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -154 or -228?\nAnswer: -154","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -1 + 4 + 5 - d**2 + d. List the prime factors of w(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 95*10.\nAnswer: 950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + 123321?\nAnswer: 123313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of -35*k**6\/6 - 5*k**5 + 45*k**4\/4 + 25*k**3\/3 - 5*k**2 + 10. Find b such that a(b) = 0.\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.48 rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1511, -1599, -1741, -1937, -2187?\nAnswer: -2491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14393 divided by 4.\nAnswer: 14393\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r + 3. Let q(z) = -1. Let g(x) = 2*c(x) + 10*q(x). Let a(t) = -1. Let h(y) = -1. Let i(o) = -5*a(o) + 4*h(o). What is -g(p) - 5*i(p)?\nAnswer: -2*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 40 + 379205.\nAnswer: 379245","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*b**2 + b**2 + 3*b**2 + (2*b + 0*b + 0*b)*(-5 + 2*b + 5) + 4*b**2 - 3*b**2 - 4*b**2 + 3*b**2 - 2*b**2 + 0*b**2 + 68624*b + 4*b**2 - 68624*b - 22.\nAnswer: 8*b**2 - 22","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 4:26 AM?\nAnswer: 4:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 976\/(-1708) + (330\/63 - 3)?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-22) + (-30 - (-9510)\/330).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 583*z - 599*z + 48 = 0. Let l(q) = 7*q + 1. Let y(p) be the first derivative of -15*p**2\/2 - 3*p - 1. Determine z*y(h) + 7*l(h).\nAnswer: 4*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 34*b**2 + 31*b**2 - 4 + b + 3 as u*b + p*b**2 + c and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + 0 + (-128)\/48. Let a = -0.06 - 1.94. Let i = 2.2 + a. Which is greater: q or i?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*l**2*v**3 + 2*l**2 - 5*l*v**4 - l*v + 47 wrt v.\nAnswer: -6*l**2*v**2 - 20*l*v**3 - l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -2) + (4 + 6 - (-16 - 4) - 10)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.6 - -7.1. Let w = d + -10. Let t = -0.04126 - -4.04126. Put w, t, -0.1 in descending order.\nAnswer: t, w, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -88093065\nAnswer: 2\/88093065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 70414 to the power of 1\/2, to the nearest integer?\nAnswer: 265","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*q**2*v + 2*q*v - 107*q + 16*v - 494 with respect to q.\nAnswer: -6*q*v + 2*v - 107","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000008249 to 7 dps.\nAnswer: -0.0000082","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -161 (b) -1\/8 (c) 2 (d) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 472828 is divided by 118199.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 15\/4)*(-12)\/(-54)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 298 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 45663474581 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/9, 0.1, 1\/9 in increasing order.\nAnswer: 0.1, 1\/9, 4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31939.5 + 31986.5023. Let w = 47 - q. Round w to three decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 60.03 - 60. Let h = -18 + 20. What is the smallest value in h, m, 0.5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2280\/(-304)*(-3 - (-759)\/255)\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 6475*s**3 + 7*s**2 - 20*s + 7. Is 9 a factor of r(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02978468651 rounded to three decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -181495 (base 12) to base 5\nAnswer: -101322022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 184\/7*a**2 - 8\/7*a**3 + 100\/7 + 260\/7*a - 4*a**4 + 4\/7*a**5.\nAnswer: 4*(a - 5)**2*(a + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -75 + -3972d?\nAnswer: -397a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -99, -83, -49, 9, 97, 221, 387, 601?\nAnswer: 869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1643322 (base 8) to base 16\nAnswer: 746d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - 10000023133?\nAnswer: -10000023202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + 5 + (-2*(sqrt(605)*2 + sqrt(605)) - (sqrt(605)*1*3 - sqrt(605)))*-6)*-1)**2*4.\nAnswer: 12672*sqrt(5) + 5575716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 + -7. Suppose 3*z = 4*l + 8, -3*l - 4 - 1 = -p*z. Suppose c - 3 = -1. Which is bigger: l or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20 + -11. Let m = -3.005 - 5.989. Let k = u + m. What is k rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 64.8 - 66.8. Let h = -57 - -739\/13. Is b bigger than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -w**3 - 25*w**2 + 12. Let c be g(-25). Let n be 3\/12 + 9\/c. Solve 2*p + i - 2*i = -n, -3*p + 1 = -i for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -155 - -151. Let g be (m + 11\/3)*3*-1. Which is bigger: g or 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 AM and 8:28 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b3 + -17762e?\nAnswer: -1776e1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 3*w + 6. What is the derivative of 3 + 0 + 0 + a**w + 0 wrt a?\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 50 - 2 = -z, 2*z = 3*w - 41. Suppose -l + w = -7. Suppose 0*k + k + 2*s - 11 = 0, 5*k + 2*s = 71. Calculate the least common multiple of k and l.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2237323 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*(b\/b**(3\/2))\/b)**(-3\/41) assuming b is positive.\nAnswer: b**(3\/82)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 110190093*w**6 + 106141923*w**2?\nAnswer: 13222811160*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5*d**3*s - 13*d**2*s - 4*s + 33 with respect to d.\nAnswer: 15*d**2*s - 26*d*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -45*a. Let t(n) = -9*n - 177. Give t(o(r)).\nAnswer: 405*r - 177","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeeepevveeveevp. What is prob of sequence vpe?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-2))\/(-9*14\/(-126)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 + 9*y**2 - 11*y - 128. Calculate b(-8).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(2\/7))**(13\/4))**22 assuming j is positive.\nAnswer: j**(143\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14 + (-1 - 8) + -20 - -3) + 9.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 370*u - 7875. Determine s(22).\nAnswer: 265","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -5*t + 4*t. What is the units digit of -1 - t - (-10)\/5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*l**4\/13 + 42*l**3\/13 + 54*l**2\/13 - 2*l\/13 - 18\/13 = 0. What is l?\nAnswer: -9, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(153) - -6*(-1 + sqrt(153))**2 - (3 + sqrt(153)*-2))*3 - (-2*(0 + sqrt(1377))**2*1 + 3).\nAnswer: -81*sqrt(17) + 5514","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3439\/21 - 1144\/7. What is the third smallest value in 25, 3, -5, b?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 6 = 2*z. Let o = z - -7. Suppose -5 = -5*x + 10. Solve x + 22 = o*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 - 5*c**2 + 7*c + 1. Let w(p) = p**2 - 4*p + 1. Let x be w(4). Let i be (-2 - -3)\/x*-6. Calculate o(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*j**3 - 8*j**2 + 2*j**3 - j**3 - 6*j**3 wrt j?\nAnswer: -84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15842 is divided by 7847?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1092 is divided by (-11 - (-315)\/27)*(-2154)\/(-4)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*s**4 - 1)*(7*s - 2*s - 2*s) + (s + 0 + 0)*(s**4 + 4*s**3 - 4*s**3).\nAnswer: 7*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 66358 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 25512463 to the power of 1\/2, to the nearest integer?\nAnswer: 5051","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 42, -2\/5, 0.435?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b**5 + 46*b**4\/5 - 31*b**3\/5 - 4*b**2\/5 + 4*b\/5 = 0 for b.\nAnswer: -1\/3, 0, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -7*w + 3*w. Suppose z = -w*y + 110 - 19, -125 = -5*y + 5*z. Let k = -22 + y. Let n(a) = -6*a - 7. Let f(q) = -3*q - 3. Give k*f(l) - 3*n(l).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -208 = 56*j - 344 - 480 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 52023 to the power of 1\/2, to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*r + 381 = -37 for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 64 + -52 - (12 - -7).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**4 + y**4 - 3*y**5 + (-3*y + 2*y + 2*y)*(3*y**3 - 3*y**3 + 5*y**4 + (0*y + 0*y - 2*y)*(2*y**3 + 2*y - 2*y)).\nAnswer: -2*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 110100000 (base 2) in base 3?\nAnswer: 120102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, 0.0271, 1, -0.02, 1\/6, 0.04, -2\/9?\nAnswer: 0.0271","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 61*h**2 - 10641*h - 330 - 211*h**2 - 5*h**3 + 11126*h.\nAnswer: -5*(h - 2)*(h - 1)*(h + 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-3)*(-18)\/4. Suppose 1295 = 5*g + 2*k, 4*g - i*k + 2*k = 1036. Is (10\/(-5))\/((-2)\/g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 458 - 461. Let a = 878\/759 + 5\/506. Which is bigger: a or b?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 1 = -r. Solve -4*y = -r*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1786 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: Expand (2*j**4 + 0*j**4 + 0*j**4)*(355 - j + 103 + 155).\nAnswer: -2*j**5 + 1226*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 PM and 11:17 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 144562 to the power of 1\/2, to the nearest integer?\nAnswer: 380","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x - 144. Calculate c(-51).\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1368 divided by 6?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-714)\/105)\/((-4)\/(-10)*(-5)\/(-10))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -3*r + 114. Does 3 divide d(32)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-204)\/(-510))\/((-34)\/10). Let y(f) = -f**2 + 5*f - 1. Let d be y(4). Sort -0.2, c, d.\nAnswer: -0.2, c, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 0 (c) 3 (d) 82\/3 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**3 + p**2 + p + 2. Let t be j(0). Let x be 0 + 5 - ((-18)\/(-2))\/3. What is the third derivative of 4*b**6 + 3*b**2 + 3*b**2 - b**2 + x*b**t wrt b?\nAnswer: 480*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1501450 to the nearest 100000.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -140.984 - -132. Let p = 32 - 23. Let o = p + a. Round o to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/3 - 7\/((-21)\/2). Suppose z = 4*n - 8*n - 20. Let g be n*(2 + 91\/(-5)). What is the greatest common divisor of 9 and g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 19 + -3. What is the remainder when (138\/9)\/(1\/3) is divided by u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 133, 134, 135?\nAnswer: 136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50639.\nAnswer: 79, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (114 - (18 + (-14 - (-16 - 0) - 6))) + -5\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 194 + -89. Suppose 1 + 1 = d. Suppose 4*q + 3*m + 9 = 72, d*m + 13 = q. Calculate the greatest common factor of y and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 352, 0.2, -2\/5, -0.2, -11\/4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2411, -2526, -2845, -3470, -4503?\n\"Answer: -17*r**3 + 4*r - 2398","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12448 + -12450. Which is the nearest to z? (a) 7 (b) 0 (c) 9 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k + 10 = 4 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-3 + -3) - (21 - (20 - -9)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 13 = r, -r - 7 = -3*s + 3 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -6*r - 8. Let m be d(-7). Let f be 271795\/209 + 18\/33. Suppose 29*o + 315 = f. Does o = m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11033)\/118 - -94) + (-135)\/(-6)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2.138*0.2\nAnswer: -0.4276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 115591127059 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/374 and -113\/738.\nAnswer: 138006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 7 = -2*n + 5*n, 35 = -4*z - n. Let u = z - -10. Solve i = 5*v - 9, 0 = -i + 4*v - 6 - u for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hn when two letters picked without replacement from vhnnnhnh?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*l + 31*l - 62. Solve 4*n + 28 = 4*p, 12 = 4*p - l*n - 6 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = -4*s - 19998, -18765 = -4*m - 7*s - 2838. Is 201 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 197.2 (b) 0.2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 957451 is divided by 1128?\nAnswer: 907","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1894085 and -184113.\nAnswer: -2078198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2584 + 2505 = 5*k - 4*n, -k - k = 2*n + 28 for k.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -33 + 39. Suppose t*x = x - 270. Let b = x - -62. Calculate the smallest common multiple of 2 and b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 73, 224, 529, 1042?\nAnswer: 1817","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 483903193.3798227 - 483903169. Let f = -24.38 + x. What is f rounded to 5 dps?\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -0*k + 3*k - 3*a, 2 = 5*k - a. Let z = k - 4. Is (-61)\/z - 6\/(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-32)\/(-14) + -2 - (-150)\/14. Let y(x) = x**3 - 10*x**2 - 12*x + 16. Let z be y(w). Solve -4*s + k - 4 = z*k, -4*s + 2*k - 10 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the third derivative of m**4\/24 - m**3\/6 + 3*m**2. Suppose -2*q = 2*z + 3*z + 15, 0 = -3*z - 4*q - 9. Calculate y(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (22\/(-6))\/(14\/(-570)). Let b = -149 + v. Let g = -2\/597 - 1180\/4179. Is b at least g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 539329?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-451)\/(-231) - (-42)\/(-147))*126\/35\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p**4 - 2*p**4 + 2*p**4 + (p**3 + 0*p**3 - 2*p**3)*(4*p - p - p + p + 3*p - p - 3*p - p + 5*p + (2*p - 32*p - 46*p)*(4 + 1 - 3)).\nAnswer: 144*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 216 by -57.\nAnswer: -72\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) -0.14 (c) -0.5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2567652 (base 9) to base 10.\nAnswer: -1403129","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 4*q = 1552, 7*a - 4*a - 2295 = 5*q. Suppose 14*t = a + 322. Is t a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*h**3 + 27*h**3 - 64*h**3.\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4968 divided by 621.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39948*5.\nAnswer: -199740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 45?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*z + 3*l + 8, -6*l = 4*z - 2*l - 36 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4062.1 rounded to the nearest 1000?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (28 + -10 + -45 - -19) + -21?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9492 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 186 a factor of 243444?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 38 = 3*c, 48 = -6*c + 121*p - 118*p for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2399131 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/64 of a kilometer in millimeters?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tyyytymtyyltymlyt. Give prob of sequence mtm.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -771 divided by -196329.\nAnswer: 257\/65443","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40 - (5 - 5)) + 13 - -6?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 - 5*j**2 + 4. Let x be m(-5). Let g(o) = -9*o**2 + o. Let s be g(1). Let f be s\/(-32) + (-111)\/(-4). Solve 2*y + f = x*r + 12, 3 = r for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*s - 817659590 + s + 817659585.\nAnswer: -3*s - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/((g\/(g*g*g\/(g*g\/(g\/(g**(1\/7)*g)))))\/g))\/((g\/(g*g\/(g**(7\/2)\/g))*g)\/g))\/(g**(1\/11)*g*g*g**6*g) assuming g is positive.\nAnswer: g**(-1345\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 205908?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zquuqqqzszuqu. What is prob of picking 1 q and 2 u?\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (10 + -19 + 20 + -36 - -6).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:50 AM and 12:50 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 92 (base 10) to base 16\nAnswer: 5c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from jmmjmj.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -7605.4029574 minus -2?\nAnswer: -7603.4029574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15960 and 32970.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 579514?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*h**5 + 2*h**5 + 2*h**5)*(-6 + 3 + 0) - 11 - 296*h**3 + 2*h**5 + 296*h**3.\nAnswer: 14*h**5 - 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -45*k + 10*k + 17745. Calculate the remainder when k is divided by 16.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**2 - 11457446*g + 32818267210729.\nAnswer: (g - 5728723)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.41 - 0.01. What is c rounded to one dp?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than 6844\/201461?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -15 - (-14 + (-9)\/7). What is the closest to 0 in g, 13\/11, 1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p**2. Let h(q) be the first derivative of 8*q**2 + 10. Give s(h(g)).\nAnswer: -512*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of n**5\/10 - 2*n**4\/3 + 5*n**3\/3 - 2*n**2 - 4*n. Factor f(u).\nAnswer: 2*(u - 2)*(u - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 + 2. Let j = h + 2. Let x = 1.632 - -0.368. Which is the smallest value? (a) x (b) -1\/13 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h**2 - 3*h + 1. Let i(r) = -432*r**2 + 16*r - 137. Let p(j) = -i(j) - v(j). Is p(7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-216))\/(29870\/(-55620))?\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the second derivative of 59*n**7\/42 + 3*n**5\/10 - 626*n**3\/3 - 109*n - 2. What is the second derivative of d(o) wrt o?\nAnswer: 1180*o**3 + 36*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 256182 is divided by 44?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 123 = 4*m, m - 51 = -m - 3*k. Suppose 0 = 5*x + 10 - m. Let z(l) = l - 1. Calculate the least common multiple of x and z(5).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 8.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -150*y**3 + 3*y**2 - y + 3. Let n(v) = -451*v**3 + 8*v**2 - 2*v + 8. Determine 8*g(k) - 3*n(k).\nAnswer: 153*k**3 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10101110110110100 - -110100001100?\nAnswer: 10110101011000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*o - 22*o = 2. Let q = 882 - 879. Sort q, 0, o, -4 in decreasing order.\nAnswer: q, 0, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of 0*o - 134*o**2 + 0 - 5\/24*o**4 + 0*o**3. Let m(r) = -12*r. Give m(n(s)).\nAnswer: 60*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m - 3. Let p(d) = 8*d + 20. Let a(x) = 6*p(x) + 40*t(x). Let y be (-1705)\/(-35) + 6\/21. Let k be 4\/(-10) - y\/(-35). Determine a(k).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 24 = 23*s - 19*s, -5*s = 2*q - 9 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 202331332 (base 4) to base 10.\nAnswer: 143230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, x: 1, e: 1, i: 6, w: 1}. Give prob of sequence xjj.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 3*v = 659, 2*u + v = 212 + 1086. What is the hundreds digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/5? (a) 3\/4 (b) -0.1 (c) 45 (d) 5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 156 and 416?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -4*j + 2. Suppose 2*x + 3*x = -3*u - 114, -5*x - 5*u = 120. Let s = -19 - x. Give k(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 8*l + 102. List the prime factors of l.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, v: 2, b: 1, j: 12, z: 2}. Give prob of sequence zvo.\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k and 1 o when four letters picked without replacement from kkkokkkkkkkkkokkkkk?\nAnswer: 20\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of x**7\/1260 - x**6\/144 + x**5\/40 + x**4\/6 - 4*x**2. Let o(a) be the second derivative of z(a). What is the tens digit of o(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28 and 182?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**2 - 3*r + 2. What is the remainder when 25 is divided by h(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -22487294*a. Let d(s) = -s**2. What is d(p(n))?\nAnswer: -505678391442436*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, 71, 215, 409?\nAnswer: 653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -6*y + 6. Let z be q(1). Suppose 0 = 3*n + 2*c - 1 + 5, -4*c - 20 = z. Solve -n*j + 4*s = -5*j - 8, 2*j = 5*s + 33 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -276*j**3 + 67*j**3 + 83*j**3.\nAnswer: -126*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 5*x + 151 - 63, 2*q + 5*x + 176 = 0. Let b(u) = -u**2 - 25*u + 365. Calculate the lowest common multiple of b(10) and (-4)\/(-10) - q\/5.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 105*z**3 + 118 - 3*z**2 - 19*z**3 - 7*z**2 + 20*z. Let f(w) = w**3 + w**2 - 2*w - 1. Let i(b) = 10*f(b) + y(b). Differentiate i(k) with respect to k.\nAnswer: 288*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6208*w**2 - 6208*w**2 + 4046 + 3*w**3 - w.\nAnswer: 3*w**3 - w + 4046","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1259740 divided by -251948?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kxxyhlhuylkl. Give prob of sequence uxxy.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2.64+59700\nAnswer: 59697.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.09 + -0.09. Let q = 2 - m. Which is the nearest to q? (a) -0.5 (b) -0.3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 444, 0, 1\/7, 3, 24 in ascending order.\nAnswer: 0, 1\/7, 0.2, 3, 24, 444","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 278981 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 3 = -u - 2, 0 = 2*u - 5*l + 13. Let j be ((-6)\/(-15))\/(u\/(-20)). Let t(s) = s + 9. Let d be t(j). Sort d, 5, -5.\nAnswer: -5, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p**2 + 45888*p + 137700 = 0.\nAnswer: -3, 11475","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 2*v + 2*r, -3*r = -10*v + 20*v - 9*v - 9 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34*q + 67*q + 36*q)*(q**4 + 1 - 1) - q**5 + 2*q**5 + 0*q**5.\nAnswer: 138*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3\/10 of a micrometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (42673 - 42673 + 68*p)*(4 + 1 - 3).\nAnswer: 136*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*j + 32*j - 44 = -y, 2*y = j - 11. Put 7, -5, j, -51 in ascending order.\nAnswer: -51, -5, 7, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s + 0*s - s + (2*s + 4*s - 2*s)*(3 + 4 - 2))*(3 - 2*s - 3).\nAnswer: -42*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1))**2\/(l**(-2\/5)*l)**(-3) assuming l is positive.\nAnswer: l**(-1\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = p - 6, -20*p - 3*l - 4 = -19*p. Solve -p*h = -123 + 131 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 12 (b) -0.3 (c) -814924 (d) -4 (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2030 divided by -2\nAnswer: 1015","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 373 - 575. Which is smaller: m or -204?\nAnswer: -204","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 3*z = -25. Suppose 2*j + 3*o - 259 = 0, -620 = -z*j - o - o. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_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 g(z) = 867*z - 46847. Calculate g(54).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -4*d - 13630, p + 1594 = 2*d + 8400. Which is bigger: -3399 or d?\nAnswer: -3399","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31 - 97. Which is greater: t or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/4)\/((-8)\/(-32))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**3 - f**2 + 15*f - 1. Determine j(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 166131 = p - 0*p, 4*p = -4*n + 664540. Let x = -236137 + p. Round x to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ottotxxtxottktktttkq. What is prob of sequence xo?\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u**2. Let d(i) = 11*i**2 + 5. Suppose 10*x - 42 = 8. Let l(n) = -11*n**2 - 4. Let r(k) = x*l(k) + 4*d(k). Give q(r(m)).\nAnswer: -242*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a gram in milligrams?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 6\/11 (c) -85 (d) 0.5 (e) -0.1 (f) 274 (g) -31\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 2*v**2 - 34*v = 0.\nAnswer: 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 3*t = 1047, -4*l + 750 = -t - 658. Let j = l + -273. What is the highest common divisor of 20 and j?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 13? (a) -4\/1333 (b) 10 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -2*7\/4*2. Let p(s) = -s**2 - 7*s + 10. What is the least common multiple of p(q) and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 7 + -3 + -1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 125 and 425750.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1784766 + 0.075.\nAnswer: -1784765.925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 10828360679 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 - 1 + 2*v)*(-19*v + 9*v - 18*v) + 4*v**2 - 7*v + 7*v)*(3 - 3 + 2*v) as k + s*v**2 + n*v**3 + c*v and give n.\nAnswer: -104","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 267720631083*q**2 - 276027444*q + 71148 = 0.\nAnswer: 154\/298731","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 0 + 21*o**2 + 135*o**2 + (-55*o - 30*o + 2*o)*(-2 + 2 - 2*o) in the form f*o + a + b*o**2 and give b.\nAnswer: 322","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d - 19. Let t(n) = n**2 - 8*n - 3. Let s be (0\/1 + 14)*7\/14. Let g be t(s). What is the units digit of c(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 79 + -44. Let y be f\/(-4) - (-1)\/(-4). Let r be 2\/y - 0\/4. Which is smaller: 0 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 + w**2 + 3*w + 2. Let g be a(-2). Let o = 12 + g. Differentiate -5*f**o - 2*f - 5 + 2*f + 7 with respect to f.\nAnswer: -20*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 61*d**2 + 6*d + 18. Let s be b(-5). Differentiate s - 1469 - 139*c - 139*c wrt c.\nAnswer: -278","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 506404 and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/13, -2, -7\/22, -3 in increasing order.\nAnswer: -3, -2, -7\/22, 4\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*r - 88 = 2*a - 14*r, 0*a + 4*a + 2*r = 0 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2253066?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7959*d**4*y**3 - 2*d*y**3 - 40237*y**3 wrt d?\nAnswer: -31836*d**3*y**3 - 2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -6*g + 38. Let s be m(10). Let a = -24 + s. What is the smallest common multiple of 12 and (4\/5 + 0)\/(a\/(-805))?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 87d948 (base 16) to base 15\nAnswer: bacdc4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2389, 2380, 2371, 2362, 2353, 2344?\nAnswer: 2335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((2 + -4*(2*sqrt(2299) - sqrt(2299)) + -5 + -1 + sqrt(2299))*-2)**2.\nAnswer: -248484 - 3168*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 4, n: 3, x: 2}. Give prob of picking 1 o and 2 x.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c - 4. Let s(n) = n + 4. Let i = 752 + -747. Give i*s(f) + 6*a(f).\nAnswer: -f - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000001207832414 to seven decimal places.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 6 = v, -2*a + 7*a + 5 = 0. Let i be 12*(v\/(-2) + -1). Suppose i = b + b. Is b a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - 3*o**2 + 2*o - 2. Suppose 4*q = c + 14, 4*q - 2*c = -6*c + 4. Suppose -4*i - 5 - q = 4*d, 5*d - 4*i - 26 = 0. What is a(d)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -c**3 - 2*c**2 - 2*c - 21. Let g be v(-4). Suppose -25*r + 12 = -g*r. Let m(j) = j**2 - 2*j + 1. Calculate m(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one fifth of a decade?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4441, -4417, -4377, -4327, -4273?\nAnswer: -4221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6647535 is divided by 240.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -37\/54 - -1\/54. Does 0 = q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1379.2058 rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/(-3))\/(1\/6). Let w(s) = 7*s**2 + 0 - 4 + i + 3. What is the units digit of w(-1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7067 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3845563 (base 10) in base 5?\nAnswer: 1441024223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1610)\/(-6) - 42\/126. Suppose c + 299 = z + o, 3*z + o = 1703. What are the prime factors of z?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49157416 divided by 28.\nAnswer: -1755622","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -84*d - 3. Let v be t(-2). Suppose -5*c + 5*h + v = 0, 5*h = -5*c + 4*h + 177. Calculate the greatest common divisor of c and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -317*c**2 + 2865*c + 23. Give n(9).\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1 + 3\/6*2. Suppose 3*f + 12 = 0, -d*w - w + 2*f = -8. Suppose 3*v + w + 12 = -4*b, -5*b + 3*v = -12. What is the closest to -1 in b, -0.2, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 7 (b) -1 (c) 16 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4342790 and 310?\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -362 > -363?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(10\/7))\/(r\/(r**7*r)*r) assuming r is positive.\nAnswer: r**(59\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -7*l + 1. Suppose 3 = 4*a - a. Let t(p) = p - a + 6*p - p. Determine -5*m(f) - 6*t(f).\nAnswer: -f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 6\/5 of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.3, 26976, -1 in decreasing order.\nAnswer: 26976, 1.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -14*m**2 - 1. Let b be g(-1). List the prime factors of ((-6)\/b)\/((-3)\/(-45)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, -587\/2, 10\/11 in decreasing order.\nAnswer: 10\/11, -22, -587\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.067 - -0.031. Let r = 66.962 - 76.86. Let j = r + y. What is j rounded to 0 decimal places?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1706 (b) -1\/4 (c) 1\/3 (d) -6 (e) 15 (f) 2 (g) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1911, -7646, -17203, -30582, -47783, -68806, -93651?\n\"Answer: -1911*a**2 - 2*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40\/12)\/(-4 - (-70)\/15).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 9*l**2 + 126*l + 128. Let f(b) = 3*b**2 + 42*b + 43. Let k(p) = 11*f(p) - 4*o(p). Factor k(n).\nAnswer: -3*(n + 1)*(n + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - (-50)\/(-35) - (-58)\/70. Let j = -3.6 - -4. Let a = 0.7 - j. What is the closest to 2 in -5, f, a?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:00 AM and 6:56 AM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36 and (234\/45 + 2 + 0)*110?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of n**5\/30 - 911*n**4\/3 + 3319684*n**3\/3 + 181*n**2 - 2*n + 1. Factor i(u).\nAnswer: 2*(u - 1822)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.2 and -0.3.\nAnswer: -0.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -20, -68, -2, 24, 4 in descending order.\nAnswer: 24, 4, -2, -20, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1596.1 + -308.9. Let j = h + 1905.00001143. Round j to 7 dps.\nAnswer: 0.0000114","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 345, -2, 1, 2\/7, -1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -104*j**3 - 87*j**3 - 90*j**3 - 9*j**3 + 293*j**3.\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 260 is divided by 31?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -96, -404, -926, -1668, -2636, -3836, -5274?\nAnswer: -6956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -6*x. Let j(k) = -250*k + 131. Let s(i) = -500*i + 328. Let v(c) = -5*j(c) + 2*s(c). Give v(g(o)).\nAnswer: -1500*o + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 82920?\nAnswer: 2, 3, 5, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -142.3 - -158. Let m = v + -12. Let z = m + 0.2. Round z to zero dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 12) to base 3\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*z - 188 = 106. What are the prime factors of z?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 343036 and 8.\nAnswer: 686072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.01, 0, -15477, -4, -2?\nAnswer: -15477","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o*o\/(o\/((o*o*o**1)\/o)*o)*o)**(-1\/38))**5\/((o\/(o\/(o\/o**(1\/5))))**(-4\/11)*o**(1\/3)*o**(3\/2)) assuming o is positive.\nAnswer: o**(-6898\/3135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = v**2 - 23*v - 38. Let w be d(25). Suppose 0 = m - w*m + 462. List the prime factors of m.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1034*b - 28876 - 4684 = 151*b + 493*b for b.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*w + 3578 = 16*w + 18*w - 1466 for w.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -236 + 22 - 475*p + 39 - 140 + 3*p**2 + 379*p.\nAnswer: 3*(p - 35)*(p + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -521*k + 521*k + 2*k**3.\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 11, m: 9}. What is prob of picking 1 x and 3 m?\nAnswer: 308\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3036 and 6325?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000024870227 to seven dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of -646 and 66?\nAnswer: -42636","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -956*d**4 + 56145*d**2?\nAnswer: -22944*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 32 + -89?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -67 + 57. Let t be ((-2)\/z)\/((20\/(-52))\/5). Which is the third biggest value? (a) 2 (b) t (c) 2\/9 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = l - 23, -4*x = 4*l + x + 33. Let i be 2\/(-12)*4\/l. Determine k, given that -1\/6*k**3 + i*k**2 + 0*k + 0 - 2*k**4 - 3\/2*k**5 = 0.\nAnswer: -1, -2\/3, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 - u**2. Let h(c) = 7*c**3 + 2*c**2 + 1. What is -h(r) - 5*v(r)?\nAnswer: -2*r**3 + 3*r**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -334, -1387, -3104, -5455, -8410, -11939?\nAnswer: -16012","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -157, -1471, -5077, -12121, -23749, -41107, -65341, -97597?\nAnswer: -139021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 164*x = 168*x + 5*m + 111, 0 = 3*x + 2*m + 78 for x.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 792 and 1080?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1435 + 1334 = -5*r - 2*p, -4*r - p = -82. Calculate the greatest common divisor of r and 8190.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i - 8. Let p be s(-5). Suppose 0*o + 10 = p*o. Solve 0 = -10*y + o*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.15 and 3856.\nAnswer: 3856.15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -571*c**5 - 1529*c**3 + 5*c**2 + 561895*c + 4.\nAnswer: -34260*c**2 - 9174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1013 is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -187, 26499, -1, 2.\nAnswer: -187, -1, 2, 26499","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**3\/6 + 41*k**2\/3 + 253*k\/6 + 85\/3 = 0. Calculate k.\nAnswer: -2, -1, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*p - 3*w - 20 = -25*p, -160 = 3*p + 3*w - 196 for p.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -3*m**3 - 7*m**2 - 20*m - 22. Let n be w(-11). Suppose n = -6*g + 12296. List the prime factors of g.\nAnswer: 2, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and 18501357?\nAnswer: 3700271.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13826*c - 19002*c + 10072*c.\nAnswer: -22756*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.382 and 0.82.\nAnswer: 0.31324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a factor of 171228738?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of 0 + 0*m**3 - 1\/14*m**8 + 0*m**7 + 5*m + 0*m**6 + 0*m**5 - 5\/12*m**4 + 0*m**2. What is the third derivative of f(v) wrt v?\nAnswer: -480*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9776?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 8, k: 2, r: 4}. Give prob of picking 1 q, 2 k, and 1 r.\nAnswer: 32\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -99 - -32. Let w = -67.0000092 - m. Round w to 6 dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-69)\/((-5520)\/(-64)))\/8. Let k be 6 + -4 + (-11)\/5. Sort l, 4, -2\/7, k in decreasing order.\nAnswer: 4, l, k, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 3*z. Let i(k) = -8*k - 44. Let n be i(-6). Let l(w) be the third derivative of 0*w**3 + 0*w + 0 + w**2 + 1\/12*w**n. What is l(d(x))?\nAnswer: 6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 711*f = 826*f + 6339 + 1311 + 1435 for f.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10.6 - 0.6. Let i = -14 + j. What is the closest to 0 in -2\/13, -3, i?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by 24136\nAnswer: -1\/3448","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of -4*s**6\/3 + 17*s**2 - 12. What is the second derivative of k(b) wrt b?\nAnswer: -160*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*f**5 - 41*f**4 + 2*f + 915?\nAnswer: -60*f**3 - 492*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 3*h**2 + 118*h - 650. What is o(-44)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 543.\nAnswer: -271.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/4*6\/(-8). Let t = 0.06 - 0.36. Which is the nearest to 0.4? (a) 2 (b) z (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 14.5 and 3.\nAnswer: 43.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k - 1. Let l(d) = -d + 21. Let z(b) = l(b) + 5*x(b). Let m(i) = -2*i - 77. Let u be m(-35). Let j be z(u). Do j and -11 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**1*j)\/j)**37)**(-4)\/((j**(6\/7)*j*j**(1\/3)*j)\/(j\/((j*j**(1\/2))\/j)*j**3\/j)) assuming j is positive.\nAnswer: j**(-6245\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*f + 2*f - 4*g = 4*f - 14, -5*g = 0 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 123350 (base 9) in base 13?\nAnswer: 27c90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - t = i - 10, 0 = -2*i - 2*t + 10. Let f be i\/1 - (-2 + 5). Is (f\/2)\/((-6)\/40) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.14 times -107826?\nAnswer: -15095.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f - 2*f - 4*f)*(3 - 3 + 1)*(-f**3 - 3*f**3 + 3*f**3).\nAnswer: 10*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 16611413669 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6758618\/9 less than or equal to 750958?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 6\/115 and -29\/2670.\nAnswer: 61410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 4 = j + 4*q, 3*q = -5*j + 36. Let n be (1 + -1)*(-3)\/j. What is the third derivative of 9*o**2 + n*o**4 - 7*o**2 - o**4 wrt o?\nAnswer: -24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1812 + 276?\nAnswer: -1525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3633915 divided by -15.\nAnswer: -242261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1051 (base 7) in base 11?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (4\/(-10))\/(-7 + (-355)\/(-50)). Does 13 divide 1 + z + -2 + (9 - -412)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1272 = -108*y - 152*y + 101*y for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 996 = -16*n. Suppose -h + 2*a = -61, 3*a + n = 5*h - 208. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 23*c. What is f(1)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 80 and 1410?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of o**8\/140 + 8*o**7\/525 + o**6\/150 - 11*o**2. Factor q(v).\nAnswer: 4*v**3*(v + 1)*(3*v + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 b, and 2 u when four letters picked without replacement from zubpspppu?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -0.1394\nAnswer: 0.2788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 6*p**3 - 7*p**2 - 2*p. Let s(h) = -h**2 - 1. Let w(b) = m(b) - s(b). Let v be w(2). Solve 3*r + 15 = 0, -4*o - 4*r - v - 11 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -6*a**2 - 18*a. Let x(b) = b. Let v(d) = 18*x(d) + y(d). Let w(u) = -3*u**2. What is v(w(c))?\nAnswer: -54*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 10 - 4. Suppose -n*f + 24 = f. Suppose -f*p + 48 = -3*p. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*j + 4\/9*j**2 - 2\/9*j**3.\nAnswer: -2*j**2*(j - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m + 2*m - 1 - m**2 + 8*m - 4*m. Let h be f(2). Suppose -13 = -q - h. Solve 3*t = q*t, -4*w = -4*t for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23271.14l to millilitres.\nAnswer: 23271140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 10*l**3 - 4778*l**2 - 946*l - 4784. Give a(478).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 58390 - 32047. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**2 - 14*d**3 - d**3 + 2*d**3)*(0*d**2 + d**2 + d**2).\nAnswer: -26*d**5 + 2*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m**(-4\/11)*m**5 assuming m is positive.\nAnswer: m**(62\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 - 2 + 4)*(-6 + 6 - 3*q)*(-4 + 5 + 0)*(-2 - 1 + 2 - 1 - 5 + 2 + (-2 - 2 + 3)*(2 + 3 - 6) - 2 + 0 + 0) as u*q + k and give u.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 29*m**3 + 34*m**3 + 28*m**3 + 2*m - 90*m**3 - 173*m**2 in the form p*m + z*m**2 + l*m**3 + t and give z.\nAnswer: -173","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 5966*i. Let r(l) = -12*l**2. Calculate h(r(p)).\nAnswer: -71592*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1000 + -1816. Let u be (6\/8)\/(o\/128). What is the third biggest value in 2\/9, u, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - ((61 - 3) + (2 + 2 - (52 - 36)))?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 38 + -1c84?\nAnswer: -1c49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 324, 130, -88, -336, -620?\n\"Answer: -h**3 - 6*h**2 - 169*h + 500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36, 85, 150, 237, 352, 501, 690, 925?\nAnswer: 1212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + i - 18 = -k, -5*k - 1 = -3*i. Let y be (i - -2)*(-20)\/(-15). Solve 3*f = -f - y for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.058 and -29176611.\nAnswer: -29176611.058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 224*t - 227*t + 3*s + 10704 = 0, -2*s = 5*t - 17826. Calculate the remainder when t is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -9. Suppose 84 = a*s - s. Let o be (-10)\/s - (-2)\/4. Which is smaller: o or 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 + 6*v + 12. Suppose -3*d - 3 = 0, 0 = -3*b + 8*b + 5*d + 20. Let h be n(b). Factor 0 + 0*s**h - 1\/7*s**5 + 1\/7*s**4 + 0*s**2 + 0*s.\nAnswer: -s**4*(s - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 11:31 PM?\nAnswer: 5:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - 330333012?\nAnswer: -330333002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2024901 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - (-9 + 1))\/(3\/2). Suppose 4*g - 7 = 2*o + 7, 4*o + s = 0. Solve -5*t + 16 = -v, -4*t = -g*t - 5*v + 16 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -327565 divided by -9359.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12\/5*15\/6. Let f = t - -1. Suppose f*b - 4 = 66. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 4*o - 30 = u, -4*o = -5*u + 150. Suppose 0 = -h + r + 15, 5*r + 15 + u = 2*h. What is the tens digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32*l + 208 = -28*l. Let t = 51 - l. Are 7\/23 and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -i**2\/4 + 144*i + 1737\/4 = 0?\nAnswer: -3, 579","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*b**2 - 5735305*b + 11470590 = 0. What is b?\nAnswer: 2, 1147059","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/40*-3563 - 6. Let t = v - 707. Are 0.05 and t equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12 and -136.\nAnswer: 1632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**3 - 4*z**2 + 25*z + 60. Determine g(-8).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (45\/18)\/((-10)\/(-24)). Let j(c) = -c**3 + 8*c**2 - 11*c - 2. Let m be j(p). Solve -m*t - 2 + 17 = -5*y, -y = -5*t + 24 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of 2*d**4\/3 - 8*d**3\/3 + d**2\/2 - 32*d + 1. Find the second derivative of f(k) wrt k.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 239*q + 14339. Determine r(-60).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-132 + 127)*(1\/(-5) + (-13)\/(-5))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -4730*-7.8\nAnswer: 36894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/4 + 11157959*j - 124500049045681.\nAnswer: -(j - 22315918)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xrcncxxccc. Give prob of picking 1 r and 1 x.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -3783*t + 7562*t - 3783*t - 913*t**2 as d*t + w*t**2 + j and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*r - 60 = 31*r for r.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 y when three letters picked without replacement from {k: 3, e: 4, y: 1}.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/66)\/(100\/(-1500))?\nAnswer: -5\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -v, -8 + 2 = 4*u + 3*v for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 13*f - 9. Let o(s) = 2*s + 1. Determine -4*o(m) - p(m).\nAnswer: -21*m + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(306))\/sqrt(9) + -2*sqrt(4896))\/(6*sqrt(18)*-6).\nAnswer: 25*sqrt(17)\/108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -1, -0.41, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78*r - 16 + 2 = -s + 75*r, 25*s + r - 128 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.0307 (b) -1 (c) 1793\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-3) + (-38)\/(-6). Suppose 4*l - r = l. Suppose -15 = -3*d, 0 = -l*p + 4*p + 5*d - 41. Is 3 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 9*q**2 + 3*q. Let y(b) = -17*b**2 - 13. Let z(k) = 4*k**2 + 3. Let o(c) = 6*y(c) + 26*z(c). Give r(o(x)).\nAnswer: 36*x**4 + 6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -6 - 8) + 1 - -5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 852572021.\nAnswer: 7, 3079, 5651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 221 = 5*a - 264. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(2\/33))\/((l*l**(-25))\/l))\/(l**22*l**10) assuming l is positive.\nAnswer: l**(-200\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 - 5. Calculate the remainder when t is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of h**5\/20 - h**4\/4 + h**3\/3 + h. Let i be a(2). Suppose i*c - 6 = -c. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -16c1 - 0?\nAnswer: -16c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -13\/11, 4\/5, 5 in ascending order.\nAnswer: -13\/11, 4\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a*a*a**(-1\/2))\/a**(8\/3))\/((a*a**(-1\/5))\/a)**18)\/((a**0)**(-11\/8)*a**8\/(a*a*a**(1\/3))) assuming a is positive.\nAnswer: a**(-67\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000008643 rounded to seven decimal places?\nAnswer: -0.0000086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 168*g**2 + 1010*g - 6. Determine a(-6).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3904 (base 15) to base 3.\nAnswer: 121200011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -p**3 - 20*p**2 - 36*p + 5. Let t be y(-18). Solve -4 = -3*h - a, -4*h + 38 = -t*a + 1 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-392)\/(-352) - 6*((-114)\/(-16) - 7).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 30, 5, -0.5, 4, -3516, 2, -1\/58?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 2.98166 centimeters?\nAnswer: 29816600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-32)\/(-42))\/4*477\/(-318). What is the closest to -1 in j, 0.02, 0?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-1 + sqrt(448)) + -5*(3 + sqrt(448)) + (sqrt(448) + sqrt(448) + -1 + 1)**2 + (0 + sqrt(448) + 0)**2 + -3.\nAnswer: 8*sqrt(7) + 2216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - 5*a + 1241, -5*g + 2*a = -444 - 1066. What is the hundreds digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 9, b: 1, p: 9}. Give prob of picking 3 p.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.01, 1230, -17\/25?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes after 8:56 AM?\nAnswer: 8:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 1013804?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 3*u - 4. Let o(n) = -n**3 - n**2 - 13*n + 23. Give -o(l) - 5*x(l).\nAnswer: l**3 + l**2 - 2*l - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/3, 0.46, -0.4, 0?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -376.6275 to the nearest 10.\nAnswer: -380","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2*r + 0*r + 3*r)*(-4 + 2 + 3) - 3*r + 2*r + 2*r)*(3*r**3 + 0 - 1 - 2) in the form z*r**2 + j*r + y*r**3 + g + i*r**4 and give j.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9 + 12)*(1 + -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s - 3*s + 3*s)*(3*s**2 - 3*s**2 + 5*s**2) + 0*s**3 + 0*s**3 - s**3 + s**3 - 2*s**3 - 2*s**3 + s**3 + 5*s**3 + 9*s - 8*s.\nAnswer: -3*s**3 + s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*k*o + 94296685*k - 1857*o - 41140 wrt k?\nAnswer: -2*o + 94296685","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 17017540 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 3*m = 0, u + 5*m - 2*m = -2. Let o be (17 - 2) + (-1 - u). Solve -4*q = -3*l + o, 0*l + 1 = -4*q - l for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11907 is divided by 229?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 2546\nAnswer: -1\/2546","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 164*q**2 + 15*q + 51. What is the remainder when i(-3) is divided by 53?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 - 8*s + 10. Determine y(-9).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-20 - 1030*p**3 + 15 + 1035*p**3)*(5*p - p**2 - 5*p + (4*p**2 - p**2 - 2*p**2)*(3 + 2 - 6) + 0*p**2 - 4*p**2 + 3*p**2).\nAnswer: -15*p**5 + 15*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 - 1232636083.7.\nAnswer: -1232636079.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -40*l + 35*l + 10 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 491 - 203. Suppose -4*z + 288 = 3*t, -t + 0*t = -4*z + f. Suppose q - z = -3*q. What is the greatest common factor of q and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -32*q**4\/13 - 164976*q**3\/13 + 16730334*q**2\/13 - 8334232*q\/13 + 1040490\/13 = 0. Calculate q.\nAnswer: -5255, 1\/4, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5640 and 384?\nAnswer: 90240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 9*j = -4*j + 25, 13 = 2*f - 3*j. Let u = f + 4. Let z(s) = -15*s + 18. What is the lowest common multiple of z(0) and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l + 11. Let p = -11 - -5. What is the remainder when 14 is divided by w(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11375 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = -4*w - 77, -4*w + 13 - 87 = 10419*h - 10421*h for w.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 17 = h - 19, 0 = -3*h - u - 9. What is the remainder when 23 is divided by 18 - 116\/(-87)*3\/h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/2*1\/2. Let b = 2 - h. Let r(i) = -i**3 + 5*i**2 - 3*i + 4. Does 10 divide r(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 4, 9, 1\/2511, 0.42, -2, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 159*j*o**2 + 14319*j*o - 3435*o**2 - 1511 wrt j.\nAnswer: 159*o**2 + 14319*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*(a\/a**(-6))\/a)**(-43))**(14\/13) assuming a is positive.\nAnswer: a**(-4214\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 553*t - 7 - 554*t + 16.\nAnswer: -t + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/6137273 or 0?\nAnswer: 1\/6137273","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -2*q - 10, 4*b = -4*q + 68. Calculate the remainder when 46 is divided by b.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 13 = -a + w, -4*w = -3*a - 39. Let f = 14 + a. What is the closest to 2 in f, 0, -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10033220 (base 4) to base 8.\nAnswer: -41750","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + v = -0*v - 2*v - 4, -25*v - 33 = -2*k + 6*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, -0.3, 6, -2.4?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 6*b**2 + 155*b - 16. What is w(-26)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-39)\/26*8\/12. Let x = 524 - 2097\/4. What is the second biggest value in t, -2\/65, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14*-0.29\nAnswer: 4.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 315 + 18 + 13 + 4*x - 369.\nAnswer: 4*x - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7316552 to the power of 1\/2, to the nearest integer?\nAnswer: 2705","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 2*y - 240. Calculate the highest common factor of 24 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-5 + -2*sqrt(136)\/(sqrt(8) + sqrt(96)\/sqrt(192) + sqrt(8))).\nAnswer: -25 - 40*sqrt(17)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oozzzyoszszoy. What is prob of sequence zyy?\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -13460 + -0.1?\nAnswer: -13460.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/(-18))\/(3871\/(-19908))?\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 174959 to the power of 1\/2, to the nearest integer?\nAnswer: 418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 52 by 52.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of l**8\/840 - l**6\/120 + l**3\/3 - 3. Let x(r) be the third derivative of a(r). Find the third derivative of x(s) wrt s.\nAnswer: 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1856 + 5.2144. Let v = -491 + 495.78. Let m = v - r. What is m rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2905 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2076*h - 1733. Is d(-4) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3250, -6042, -8836, -11632?\n\"Answer: -z**2 - 2789*z - 460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -p + 4*x, 3*p + x - 51 = -2*p. What is the smallest common multiple of p and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/3510 and -109\/31266.\nAnswer: 2032290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (91 + -80 - (-1 - -24))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 3*b**3 + 14*b**2 - 20. Let i(c) = 2*c**3 + 7*c**2 - 10. Let z(v) = -5*i(v) + 3*q(v). Is 16 a factor of z(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2765 = 22*m + 13*m. Calculate the highest common factor of 158 and m.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 23*k**2*l**4 - k**2*l - 2*k**2 + 413*k*l**4 - 3088*l + 2 wrt l.\nAnswer: 276*k**2*l**2 + 4956*k*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -271 take away 2.3?\nAnswer: -273.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/7 in 0.2, 0.1, -2, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 41022156 and 42.\nAnswer: 41022156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -8. Let g = t - 1. Let n = g + -6.3. What is the closest to 4 in n, 0.2, -2\/5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 856.46346 rounded to the nearest 10?\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(132)\/((sqrt(72)*3)\/sqrt(6)) + -3 + 0).\nAnswer: -9 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (78 - -1) + ((-48 + 20 - 6) + 18 - -7)\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 40873038?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -110 + 106.36. Let b = -4.4 - g. What is b rounded to one decimal place?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -633139\/88 bigger than -7196?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.5 (b) -2 (c) -4 (d) 2 (e) 89\/14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -56642, -8, 5.\nAnswer: -56642, -8, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 + 5*d + 9. Let i be g(-6). Suppose -w = 2*w - i. What is the lowest common multiple of w and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u**3 - 5*u**2 - u - 179. Calculate o(-5).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -938 divided by 19?\nAnswer: -938\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dngdnnnyytggddgdtddn. Give prob of picking 2 g, 1 y, and 1 d.\nAnswer: 28\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 8:54 PM?\nAnswer: 9:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -8098\/9863?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = -3*g - 272, v + 5*g = 3*v - 122. Let f be -1 + 68 - (11 - 14). Let m = f - v. Let c(a) = 2*a - 1. Calculate c(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 229 minutes before 9:01 PM?\nAnswer: 5:12 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3706111913 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -89\/7634715 and 233\/106886010.\nAnswer: 106886010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0027192264 to 6 dps.\nAnswer: 0.002719","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2 + 4493\/(-2415) + (-32)\/240. Let h = w + 157\/644. Factor h*c**2 + 1\/4*c - 1\/4 - 1\/4*c**3.\nAnswer: -(c - 1)**2*(c + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11210012 (base 3) in base 8?\nAnswer: -6640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = 6*z + 10. Let t be ((-8)\/z)\/((-22)\/(-33)). Let o(b) = b**3 + 13*b**2 - b - 12. Let s be o(-13). Solve -d - t = s for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-40)\/(-6)*(-51030)\/9450\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 46\/6) + 2\/3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.14 + -1.14. Sort 0.3, -1\/4, u, -1\/2 in increasing order.\nAnswer: u, -1\/2, -1\/4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -24\/455 and 151\/42.\nAnswer: 2730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 9762, 9748, 9734?\n\"Answer: -14*w + 9776","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -1.5 and -529511.\nAnswer: -529512.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 69*h**2 + 12*h - 5. Let x(m) = -2 - 4 - 8*m + 2 + 67*m**2 + 18*m. Let a(j) = 5*b(j) - 6*x(j). Let n(k) = 5*k - 4*k + 0*k. Determine n(a(w)).\nAnswer: -57*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2449536557 to the nearest integer?\nAnswer: 1348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*q**3 + 330*q**2 - 540*q + 280 = 0 for q.\nAnswer: 14\/13, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 468*u + 0 + 0 + 1272*u + 526*u to f + o*u and give o.\nAnswer: 2266","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - 2. Let a(y) = -229*y + 8927. Let n be a(39). Let l(s) = 3*s - 2. Let j(d) = -4*d + 3. Calculate n*j(k) + q*l(k).\nAnswer: k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of a**3\/3 - 7*a**2\/2 - 60*a - 1164. Give t(-6).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/3 + -2)*(-829 + 875 + 1828\/(-40)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -11*y**2 - 535*y + 79982. Calculate k(-113).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3220 - -3510. Calculate the remainder when w is divided by 106.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (111 + -107)\/(-1 - (-30)\/26). Suppose t*v = 22*v + g + 37, 0 = -v + 5*g + 14. What is the remainder when 37 is divided by v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -4, 6, 99, 2 in increasing order.\nAnswer: -10, -4, 2, 6, 99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.0787 - 0.0213. What is the closest to k in -2\/3677, 0, 0.2?\nAnswer: -2\/3677","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*f - 4*f + 0*f)*(6 - 6*f - 1 + 3*f).\nAnswer: -3*f**2 + 5*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3829 in -0.4, 221, 5?\nAnswer: 221","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36574?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 21*d - 22*d = -44, -4*x + 36 = d. Let w(m) = m**3 - 8*m**2 + m - 8. What is w(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 8*w**3 + 4*w**2 + 6*w + 3. Calculate h(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 112*r + 67*r = 50*r - 4644 for r.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 - 7*t**2 + 8*t - 6. Let p be f(6). Suppose 0 = -p*j + 2*j + 372. Does 26 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14 - (-1 - (3 + -8))) + (13 - 20).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/((-1)\/(-8)*-2). Suppose 0*z = 4*z - u. Suppose 0*r - z*b = 5*r + 10, -13 = 2*r + 5*b. Which is smaller: r or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000127 rounded to 6 decimal places?\nAnswer: 0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jub when three letters picked without replacement from kynkubj?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16, 21, 96, 295, 672?\nAnswer: 1281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12373 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4474.1974 and 0.5.\nAnswer: 4474.6974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37766.32 centuries to decades.\nAnswer: 377663.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 27626617 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 e when two letters picked without replacement from {e: 1, x: 6, o: 12}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 2) in base 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188 - 722 = 58*o - 302 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -4*i + 5. Let f(w) = 4*w**2 + 6*w + 2. Let p be f(i). Calculate the greatest common factor of 9 and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 93.3151 + -0.1151. Let o = 93.19999055 - q. Round o to 6 dps.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of w**5\/240 + 11*w**4\/48 + 39*w**3\/8 + 13*w**2. Factor t(a).\nAnswer: (a + 9)*(a + 13)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16.5 - 12.5. What is the closest to 3\/8 in -1, n, 2\/23, -4?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 103203912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 25, 16.3, -2\/19, 2.3?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 3*s = -4*s - 18, -9 = -2*y + 5*s for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53 is divided by 39.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -13 - -18. Let m = 311531 - 236763639\/760. Let k = 2\/95 - m. Which is the closest to 0.1? (a) k (b) z (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-1) + (-1 - -5). Suppose 5 + c = 2*f. Calculate the remainder when 2\/4 - (-138)\/f is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 343 (base 12) to base 11\nAnswer: 3aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -63 + 1 - (-12 + 19 + 14 + -33)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 26793?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124*t - 443 = 53 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 470816?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 22*g**2\/17 + 41870*g\/17 + 7612\/17 = 0.\nAnswer: -1903, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (39*o - 72*o - 51*o)*(1 - 1 - 5) to x + k*o and give k.\nAnswer: 420","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 72365 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 26074 in 0, -4, 14, -0.4, -4\/3?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 23*n**2. Let i(l) = -17*l**2. Let o(x) = 4*i(x) + 3*v(x). Let p(z) = 19*z**2. Let s(b) = 6*b**2. Let c(m) = -3*p(m) + 8*s(m). Calculate o(c(q)).\nAnswer: 81*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 17 (base 8) to base 7\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i*i**(-5)*i))\/i)\/(i\/((i*i\/(i\/(i**(-1\/21)\/i))*i)\/i)) assuming i is positive.\nAnswer: i**(41\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1327639?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -28 from 12980.\nAnswer: 13008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 74\/3 + -151\/6. Which is the closest to 1? (a) m (b) 0.4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -100, -471, -1070, -1885, -2904, -4115?\n\"Answer: 2*d**3 - 126*d**2 - 7*d + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18071 is divided by 278.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 - 6*h**2 + 11*h - 18. Calculate the smallest common multiple of d(-8) and 5.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 186807*b + 1. Let x(i) = -77*i**2. What is t(x(a))?\nAnswer: -14384139*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-35)\/(-10) + 66\/(-4)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/5, -903\/4, -2, 3 in increasing order.\nAnswer: -903\/4, -2, 6\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/(-12)*8\/26. What is the closest to -2 in 0.5, -1\/2, n?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3248*t**3 + 791 - 1598 + 807 - 6*t**2 wrt t.\nAnswer: -19488","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 159093*l - 5. Let g(b) = -b. Give g(i(d)).\nAnswer: -159093*d + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 18*t**2 + 823*t - 4104. Determine r(5).\nAnswer: 461","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a milligram in nanograms?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1012691 is divided by 1229.\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 703 a factor of 10070899?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 + 9*x - 399. Let b be t(-25). Put -2, -230, b in increasing order.\nAnswer: -230, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 0)*(-2*n - 1 + 1) + 6 - 6 + 11*n.\nAnswer: 13*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 12 = 88. Let v be -19*2*(-1)\/2. Suppose -2*j = -3*r - 60, b = 2*j + r - v. Is 8 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3 - -4)*(1 + -1). Let r be 0 + (f - -2) - -33. Suppose 0 = -3*k - 4*y + 4, -5*k - 2*y + y = -r. Solve k = 3*u + u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of 5*f**3\/3 + 6*f**2 + 5*f + 110. Calculate a(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 40.95 - 40.75. Put -2\/47, z, 46 in descending order.\nAnswer: 46, z, -2\/47","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xwexmayea. What is prob of sequence emxw?\nAnswer: 1\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8303474, 8303459, 8303444, 8303429, 8303414?\nAnswer: 8303399","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -2*q - 2. Suppose 2*l - 18 = 5*y, 2*y - 4*l = -2*y - 24. Let p = 0 - y. Let c be -7 + (1 - p)*-3. Give z(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-24)\/(-9))\/((-6)\/(-63)). Suppose 0 = i - 17 + 11. Suppose c = i*k + 4. Solve 18 - 2 = k*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**9\/(u\/u**(-1\/2)*u)*(u**(5\/4)\/u)\/u**(-1\/6))**3)**48 assuming u is positive.\nAnswer: u**996","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qaq when three letters picked without replacement from mqaqmqaqqqqqqqaqq?\nAnswer: 33\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 260\/2730 + 1\/(42\/(-1880428)). Let k = t + 64583. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -222 (base 5) in base 9?\nAnswer: -68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 3*y + 27 = -4*y, 0 = -3*u - y + 21. Suppose -3*b = -u*b. Suppose 3*c + w = 330, 3*w = -b*w - 9. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2230)\/(-1561))\/((-5)\/(-154)))\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.8 and 1.69.\nAnswer: 1.352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 5*j, -4*j + 23 - 21 = 2*z. Let t(b) = 6*b**2 + 4*b + 9. Let o(a) = -5*a**2 - 3*a - 9. What is z*o(s) - 4*t(s)?\nAnswer: s**2 - s + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -37, -69, -125, -217, -357?\n\"Answer: -2*s**3 - 18*s - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 1119?\nAnswer: -5\/1119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112) + -5*1*sqrt(112) - (3*(-2*sqrt(112))**2 - sqrt(112))) + 0 + 5*-3*sqrt(112) + -3.\nAnswer: -1347 - 72*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-12)\/(-10))\/(57\/95). Let o = 1 + 1. Let r(x) = -3*x**3 + 2*x**o + 4*x**3 + 2*x - 2*x**3. Calculate r(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/78, -0.0557, -9 in decreasing order.\nAnswer: 5\/78, -0.0557, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 16*a + 16. Let v be r(6). Let c = -112 + v. Solve -5*b + 2*w + 31 = c, b - 10 - 7 = 4*w for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13077352193 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22330300001 (base 4) to base 16.\nAnswer: -2bcc01","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11008\/35 + 2210\/7. Factor 3\/5*k**5 + 12\/5*k + 12\/5*k**2 - 9\/5*k**3 + 0 - i*k**4.\nAnswer: 3*k*(k - 2)**2*(k + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -53\/134 + -74\/67. Let s = 5 + 0. Let w = 5.04 - s. Which is the third smallest value? (a) i (b) w (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*5\/(-4)*144\/(-120).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5346?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, z: 3, p: 3, x: 3, w: 3, a: 1}. Give prob of sequence zwvz.\nAnswer: 3\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00679 to four decimal places.\nAnswer: 0.0068","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**3 + 34*j**2 + 108*j - 144.\nAnswer: 2*(j - 1)*(j + 6)*(j + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2 (b) -2\/87 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 3*p**3)*(3 + 0 - 1) + (5 - 2 - 1)*(2508313*p + 4*p**3 + 10*p**2 - 2508590*p + p**3) in the form s*p**3 + y*p + v + a*p**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.03781 * 0.2\nAnswer: 0.007562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 36692?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 + 12*y**2 - 12*y + 16. Let h be p(11). Which is the closest to 0.3? (a) -3 (b) 1\/8 (c) 1 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 68267?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o**3 - 11*o**2 + 10*o + 8. Let w be p(10). Suppose 3*q + w = 4*f - 2*f, 5 = f - 2*q. Find the first derivative of -f - 5*b + 3*b + 3*b - 5*b wrt b.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 1 + 2 + -14 + 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 93 + 0.0964397.\nAnswer: 93.0964397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g**2. Let z(x) = 3*x**2. Let h be z(-1). Let m(f) = -f**3 - f**2 - f + 3. Let s be m(0). Let p(r) = 2*r + h*r - s*r. What is p(c(n))?\nAnswer: 4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/4167 and 64\/99?\nAnswer: 45837","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 40*z - 123. Let p(b) = -9*b + 1. Give i(j) + 4*p(j).\nAnswer: 4*j - 119","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 65768311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -15*l**6*n - 5049199*l**4*n - l**2*n - 5632460*l*n + n wrt l?\nAnswer: -1800*l**3*n - 121180776*l*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.31 and 213.\nAnswer: -66.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16*f - 11*f - 49*f - 3*f + 0*f + 4*f + (-1 - f + 1)*(-3 - 1 + 6) - 5 - 2*f + 5 + 2 - 2 - f)*(-f**2 + 3*f**2 - 4*f**2) - 2*f**3 + f**3 + 3*f**3.\nAnswer: 98*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-1*sqrt(117) - sqrt(117)))\/(sqrt(225) + sqrt(225) + sqrt(225) + sqrt(225)*4).\nAnswer: -6*sqrt(13)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 6:55 AM?\nAnswer: 6:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17801 is divided by 193.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*i + d + 4 = -4*i, 0 = 2*i + 4*d + 2 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(15\/2))**(7\/11) assuming h is positive.\nAnswer: h**(105\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10444 - -20534. List the prime factors of n.\nAnswer: 2, 5, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 195022, 390129, 585238, 780349, 975462, 1170577?\n\"Answer: a**2 + 195104*a - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116 is divided by 59.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-s + 2 + 5*s - 3*s)*(-2 - 2 + 2 + (0 - 2 + 0)*(1 + 0 + 4)) in the form f*s + g and give g.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 3 (c) 0.0415\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(1300) + -1 - sqrt(1300))*5)**2 + sqrt(1300) + (-3 + sqrt(1300)*-1)**2.\nAnswer: 70*sqrt(13) + 1332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 divided by -528?\nAnswer: -5\/176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15 + 53. Is 34 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2042811 to the nearest integer?\nAnswer: 1429","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -70108, -70106, -70104, -70102, -70100, -70098?\n\"Answer: 2*l - 70110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, e: 6, u: 5, p: 1}. What is prob of picking 3 u?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33 is divided by 17*(1 - -2)\/3.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-60)\/(-18)*2\/(12\/2151). Suppose -4*t = -3*t - m. What are the prime factors of t?\nAnswer: 5, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 - 19. Let y = -3 - v. Let l = -965.4 + 966. What is the closest to l in y, 3, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 6468830 - -3?\nAnswer: 6468833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -k**2 + 4*k + 2. Let h be (-12)\/(-18) - 4\/(-3). Suppose 0 = i - 4*v, -3*i - v - 75 = h*v. Let p = i + 26. Give o(p).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -2*c**3 + 60*c**2 - 109*c - 78. What is y(28)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -45*b. Let f(m) = -7*m. Determine f(q(s)).\nAnswer: 315*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.586612g in milligrams?\nAnswer: 586.612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1770051851?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of -186*((-42)\/18 + (3 - 1)) and 22.\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15 and 2550.\nAnswer: 2550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -225 - -10321?\nAnswer: 10063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 15529 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 289 divide 705096420?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Are 81\/831526 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + 7)\/(1\/5). Let d be (-1 - -6)*(5 + 2). Let o = d + -15. Calculate the greatest common divisor of o and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 92694?\nAnswer: 2, 3, 7, 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -317, -290, -273, -272, -293?\n\"Answer: -m**3 + m**2 + 31*m - 348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(1440))\/(sqrt(4)\/(sqrt(18)\/sqrt(9))).\nAnswer: -60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15 + -13. Suppose 4*d - v*a - 19 = 35, -60 = -5*d - 5*a. What is the highest common divisor of d and 117?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 26*x - 30*x. What are the prime factors of (3\/x)\/(1\/(-57))?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 3 + 25. Let h = -2251 - -2264. What is the remainder when h is divided by k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 + -2)\/((-1)\/(-3)). Let l be 180 - (0\/s)\/(-1). Suppose 180 = 4*w - 2*b, 2*w = -2*w - 3*b + l. Calculate the greatest common divisor of 30 and w.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78691 = -8878*j + 43179 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(-10) - 54\/(-10). Let i be (7 - a)\/(4\/(-2)). Let m be i\/2*-6 + 0. Solve -m*j + 12 = u, -u = -3*j + 4*j - 4 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5949196679 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of -g**6\/720 - g**4\/6 - g. Let a(q) be the third derivative of p(q). Let n(r) = 9*r + 3*r + 0*r - 3*r. Calculate a(n(d)).\nAnswer: -9*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 134 + -123. Suppose 0 = -5*f - 2*h + a, -2*h - 2 = -h. Solve 4*x - 5 = f*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 10:03 PM?\nAnswer: 7:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 718027001?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -26, -34, -24, 4?\n\"Answer: 9*u**2 - 35*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from kkk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/((-1096)\/6))\/((-6)\/24). Let d = 527\/959 - k. Factor 6\/7*w**2 + 0 + d*w + 2\/7*w**3.\nAnswer: 2*w*(w + 1)*(w + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 124 + -188. Let s be (-900550)\/13237 + (-2)\/(-61). Let n = c - s. Solve n*i - 3 = 1 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 370032493 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -3.216.\nAnswer: 16.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -k - 1, 2*d = -4*k - 8. Let i be (-56)\/40 - 288\/(-45). Put i, -19, d in descending order.\nAnswer: i, d, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135714 != 135712?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -78, -160, -244, -330, -418?\n\"Answer: -f**2 - 79*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*d + 576 = 4*d. Suppose w - d = -5*w. Solve 8*x - 5*x + h = 10, x + h - w = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 6, -5*t + t - 14 = l. Let f(a) = -a**2 - 8*a + 3. List the prime factors of f(l).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2249, -4495, -6741, -8987?\nAnswer: -11233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 121 + 87 + 51 - 2037*q**2 - 259.\nAnswer: -2037*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 139634, 142574, 145514, 148454?\n\"Answer: 2940*u + 136694","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -17.9, 1, -1.539, -1\/4, 0.2 in ascending order.\nAnswer: -17.9, -1.539, -1\/4, 0.2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13637?\nAnswer: 13, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8903938*o**6 + 704*o**2 - 107*o.\nAnswer: -1068472560*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 500?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g + 21. Let k be y(-10). Calculate the greatest common divisor of 44 and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -110100011010101 (base 2) to base 6\nAnswer: -324125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 n when three letters picked without replacement from {s: 2, n: 4}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6598 (base 11) to base 10.\nAnswer: -8698","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -19 + 8*a**2 + 2 + 14. Let z(r) = 31*r**2 - 13. Let c(i) = 26*m(i) - 6*z(i). Let q(w) = 3*w**2. Determine q(c(o)).\nAnswer: 1452*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = 10*l + 10. Let t(v) = 149*v**3 - 2*v**2 + 1. Let m be t(l). Let i = m + 269. What are the prime factors of i?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c + 3*m - 3250 = -3263, -134*c + m - 529 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 58181450 a multiple of 58?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 517962569?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4296 (base 15) to base 3.\nAnswer: 201022220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -919 + 1386. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 5*z**5 - 15*z**4 + 17*z**3 - 9*z**2 + 4*z + 2. Let f(u) = 6*u**5 - 16*u**4 + 16*u**3 - 8*u**2 + 5*u + 3. Let q(d) = -2*f(d) + 3*l(d). Factor q(m).\nAnswer: m*(m - 2)*(m - 1)**2*(3*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 234 and 72.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-7)\/((-21)\/114) - (-2 - -1) is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 25 - 36. Let v = w + 19. Let b = v - 7.9. What is b rounded to 1 dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 5*c = 55, -3*b + 30*c = 26*c + 12. Let u(t) = -t**2 - 9*t + 2. Determine u(b).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 33.17 + -33. What is p rounded to one decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 411.44 centimeters?\nAnswer: 4.1144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dot when three letters picked without replacement from {j: 3, r: 1, t: 1, y: 1, o: 3, d: 2}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -h + 3*h - 3*p, 2*h + 4*p = 6. Let q = 6 - h. Is (-3)\/q + 1192\/20 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 2445*b**4 - 29350*b**3 - 68340*b**2 + 280*b = 0.\nAnswer: -2, 0, 2\/489, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*6)\/((-32)\/(-4))?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 - 7*x**2 + x - 7. Let f be r(7). Suppose f*k - 2*k = -634. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 857129000?\nAnswer: 2, 5, 7, 13, 9419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.14463 and 0.01117.\nAnswer: -0.0016155171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/208*40*(-3)\/(6\/4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 6 and 52534.\nAnswer: 52540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 26*t - 7 - 19 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 12*x - 12.\nAnswer: -12*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3053 times -1.2?\nAnswer: -3663.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 448 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1611*r - 1690*r = 2528 for r.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of -o**4\/2 + 3*o**3 - 2. Find the third derivative of n(q) wrt q.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 5*p = -6 - 18, 3*z + 3*p = -18 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 57150236 to the power of 1\/2, to the nearest integer?\nAnswer: 7560","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 636 and 237.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 15) in base 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 58959 (base 11) in base 8?\nAnswer: 246016","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 25873000 to the nearest one hundred thousand.\nAnswer: 25900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 962865?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-1) + (-6)\/6. Let a = 469 - 464. Put -1\/4, -0.5, w, a in decreasing order.\nAnswer: a, w, -1\/4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 17.097 to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23988, 23995, 24016, 24057, 24124, 24223, 24360?\nAnswer: 24541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of 0*j**3 - 3\/2*j**2 + 0*j**5 + 6*j + 0*j**4 + 1\/10*j**6 + 0. Differentiate y(u) wrt u.\nAnswer: 12*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44\/297 - 34592\/(-1242).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**2 - 3*t. Let q(a) = -a**2 - 5*a. Let o(r) = -5*p(r) + 3*q(r). Let l(h) = -18*h - 20*h + 38*h - 3*h**2. Calculate o(l(v)).\nAnswer: 18*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(((-2)\/(-3))\/((-18)\/(-9))). Let w(b) = -b**2 + 0*b**2 - 7*b + 6 + 2*b**2 - 4*b**2 + b**i. Calculate w(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, -51\/38, 3, 0?\nAnswer: -51\/38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/5)\/((-2)\/10). Suppose 14 = w*t + 2*i, 0 = 2*i - 7 - 1. Factor 0*h**t - 3*h**3 + 2 + 0*h - 2*h**2 + 3*h.\nAnswer: -(h - 1)*(h + 1)*(3*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -m**3 + 2*m**2 + 2*m + 4. Let a be j(3). Suppose c + 2*t - 6*t = a, c + t - 21 = 0. Calculate the greatest common divisor of 119 and c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (165\/18 - 9)*4*3\/(-4). Which is the smallest value? (a) 6 (b) f (c) 0.5 (d) -0.017\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -129, -131, -133, -135, -137?\n\"Answer: -2*c - 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 102621409 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -19 divided by -120\nAnswer: 19\/120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 26008 = -279092. What is f rounded to the nearest ten thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1351013143 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-180)*-6*276\/23.\nAnswer: 18\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -307368, 155, -0.5 in increasing order.\nAnswer: -307368, -0.5, 155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/(14\/2))\/(4*495\/(-60))?\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -12*u**2. Let f(m) be the second derivative of -m**4\/2 + 13*m**2 - 2*m - 540. Give f(y(g)).\nAnswer: -864*g**4 + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1\/94520, -0.11, -1.2 in ascending order.\nAnswer: -2, -1.2, -0.11, 1\/94520","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 2, -0.0104?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**4\/7 - 3*s**3 + 153*s**2\/7 - 61*s + 42.\nAnswer: (s - 7)**2*(s - 6)*(s - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -4274500 rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 9:31 PM?\nAnswer: 11:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 107710315033 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 756688 is divided by 110?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q - 4*q + 4. Suppose 3*x - 6 = x. What is the tens digit of ((-20)\/(-3))\/q*x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 106103003 to the nearest integer?\nAnswer: 10301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 + 5. Let s = 13 + -7. Let i(p) = 2*p**2 + 5. Let u(n) = s*h(n) - 5*i(n). Differentiate u(f) wrt f.\nAnswer: -8*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 59\/40221 and -19\/5501339.\nAnswer: 49512051","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11307160*c**5 - 5*c + 4998645 wrt c?\nAnswer: 226143200*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1317 - -3955\/3. Put 8, -0.3, -0.35, l, -0.1 in ascending order.\nAnswer: -0.35, -0.3, -0.1, l, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 2*h. Let p(f) = 5*f + 1. Let u be p(2). Suppose 0 = 6*t - u*t + 10. Let j(m) = 2*m**t + 3*m**2 - 4*m**2 + 0*m**2. Give k(j(b)).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 9 = -5*k - 8, -4 = 4*x for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.0017 (b) 1\/2 (c) -5\/3 (d) 2 (e) -17\/3 (f) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-45)\/(-72)*6)\/((-165)\/(-66)).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 3*t**2 + 4*t - 3. Suppose 0*k + k = 5*y + 18, 2*k + 4*y = -6. Does 11 divide v(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*y + 370*y - 1176 = 123*y - 94*y. Solve 6612\/5*n**2 + 8664*n + 13718\/5 + 344\/5*n**3 + 6\/5*n**y = 0.\nAnswer: -19, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l**4 - l**3 + 8 + 11 - 35 - 13 in the form r*l**2 + p*l**4 + k*l + u*l**3 + f and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000002951 to six decimal places.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 6*g - 8. Let p(j) be the first derivative of -g + 0*j**2 + 0*j - 1\/9*j**3. Let p(x) = 0. Calculate x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (o + o + 0*o)*(1 + o - 1) - 19 + 19 - 22*o**2 as t*o**2 + m + z*o and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0044612804 rounded to six decimal places?\nAnswer: -0.004461","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 390*a - 52. Let s(l) = -23*l + 3. Let x(u) = -3*p(u) - 52*s(u). Let k(c) be the third derivative of c**5\/15 - 2*c**2 + 132*c. Calculate x(k(o)).\nAnswer: 104*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 15784121 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 33204*m + 32511?\nAnswer: 33204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -448826738 divided by 2?\nAnswer: -224413369","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3830 + -3831. Let n(u) = 13*u - 3. Determine n(r).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 282\/(-564)*2*5\/4\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -7.317, -29 in descending order.\nAnswer: -5, -7.317, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-2\/19)\/(h*h**(-14)) assuming h is positive.\nAnswer: h**(245\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.03 - -5.03. Put 1\/6, f, 7 in increasing order.\nAnswer: 1\/6, f, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yylklylzyylkkyzzl. What is prob of picking 2 y and 1 k?\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -5*z - 4. Let j be (6\/(-9))\/(10\/(-15)). Suppose 5 - j = -r. Let q(h) = -4*h - 3. Determine r*q(f) + 3*u(f).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 18333661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 2 z when four letters picked without replacement from zgzggxzggxzggxgxgggg.\nAnswer: 12\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (11 - 0) - -13 - -70 - 7\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -22267 divided by -64?\nAnswer: 22267\/64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 42*z + 51*z - 72*z + z**2 - 2. Is k(19) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.3308 rounded to 2 decimal places?\nAnswer: -2.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (988 + 980 + 256*n - 1968)*(-2*n**2 - 4*n**2 + 4*n**2) to a*n**3 + u*n**2 + f + y*n and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - 399?\nAnswer: -39a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 104395?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/7 of a week in hours?\nAnswer: 288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 115962 and 1463.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1066*z**3 - 290 wrt z?\nAnswer: 3198*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q**3 + 13*q**2 - 31*q - 11. Let l be v(-15). Let x be l\/8*(1 - -71). What is the highest common factor of x and 60?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -2*n**3 + 15*n**2 - 2*n - 5. Does 3 divide k(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 94853.\nAnswer: -2\/94853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = -w - 3*k, 3*w - 3*k = -31 + 121. What is the remainder when 135 is divided by w?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 122? (a) -5 (b) 2\/11 (c) 3 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n - 3*g + g - 33, 2*g = -5*n + 37. Let u(k) = k - 6 - k**2 + k + n*k. Does 7 divide u(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13.86 or 0.87?\nAnswer: 0.87","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o + 2580 = 12*o. Let v = -569 + o. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 415996.\nAnswer: 2, 7, 83, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98972207.\nAnswer: 149, 664243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 105*a**3*r**4 + 1847741*a**3*r + 9*a**3 - 4339*a - 1680 wrt r.\nAnswer: 420*a**3*r**3 + 1847741*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*i**2 + 0*i**2 + 39*i - 3*i**2 + 14*i**2 - 3*i**2 in the form b*i**2 + d*i + p and give d.\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 9:18 PM?\nAnswer: 10:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -17.00000848 + 17. Round r to 6 dps.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -238 times 5?\nAnswer: -1190","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*i - 4918 + i**2 - i - i + 4924 as z*i**2 + a + t*i and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -5*o**2 - o + 2. Let p be a(1). Let k be 3 - p*5\/2. Let u(y) = 2*y - 24. Let z be u(k). Solve -2*x + 3*x - z = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 6*v. Suppose 3*x = -v*x - 66. Does 9 divide (-2)\/11 + (-598)\/x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 58 + -15 - (56 + -24)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 151 (base 7) to base 15.\nAnswer: 5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 + h + 4. Let p(i) = -i**2 + i. Let n(w) = a(w) + 2*p(w). Determine n(-3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6518.536 kilograms in nanograms?\nAnswer: 6518536000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**2 - 36500*o - 400895.\nAnswer: -5*(o + 11)*(o + 7289)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0420921918 rounded to 6 dps?\nAnswer: 0.042092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -303996, -303989, -303982, -303975?\n\"Answer: 7*i - 304003","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 8*o**2 + 3*o - 1. Let x(l) = -12*l**2 - 5*l + 2. Give 7*c(m) + 3*x(m).\nAnswer: 20*m**2 + 6*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8372038?\nAnswer: 2, 4186019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1084.\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**5\/((m\/(m\/((m\/(m*m\/m**(2\/7)))\/m)))\/m*m))\/((m*m**5\/m)\/m*m**3))**(-2\/71))**(-18) assuming m is positive.\nAnswer: m**(-72\/497)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-14 + 5)\/(4\/(-20)).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4268111767.\nAnswer: 41, 104100287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32 and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l + 20. Let o be p(-12). Solve -5*k = -3*m - 9, o*k - 3*k = 0 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 24, 48, 68, 84, 96, 104?\n\"Answer: -2*o**2 + 30*o - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of 3*a**5\/20 + 445*a**4\/12 - 7009*a**2 - 2411*a + 2. What is the derivative of f(b) wrt b?\nAnswer: 9*b**2 + 890*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1553?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 816513.\nAnswer: 3, 272171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -3*z + 1, 0*q - 3*q - 11 = 5*z. Let t(y) = 7*y**2 + 0*y**2 + 2*y - 2 + 0*y. Does 11 divide t(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -56632.02429\nAnswer: 56631.02429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4 or 3306?\nAnswer: 3306","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -207*q + 123*q + 13 - 267*q - 13 in the form h + x*q and give x.\nAnswer: -351","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-3\/7)*h*h**(-2))**(1\/23) assuming h is positive.\nAnswer: h**(-10\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14072415?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ekee when four letters picked without replacement from {k: 1, z: 1, e: 5, w: 3, b: 3}?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 2*s - 6 = 0, -m - 16*s + 21 = -11*s for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2*v**2 - 51264 + 25647 + 25635 - 26*v. Suppose 66 = -5*f + o, -2*f + 7*f + 64 = -o. List the prime factors of q(f).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 4, 3, 0.05 in increasing order.\nAnswer: 0.05, 0.3, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.16 (b) -4 (c) -9 (d) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -112602 * 1\nAnswer: -112602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (-85 + 16 - -18) + 18.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 55? (a) -5 (b) 1.5 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 58*g + 3*g - 6*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = 16*y + 218, 2*c - 11819 = -19*y - 12091 for y.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -p + 120. Suppose 3*r + 6 = 4*r. Suppose r*q = q + p. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 1)*(17 - 740*i + 1586*i - 628*i - 53).\nAnswer: -218*i + 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 + 1 - -17) + -17.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 12*c - 18 = 0. Let m(w) = -2*w + 5. Calculate the lowest common multiple of m(0) and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 385, 3, -372 in decreasing order.\nAnswer: 385, 3, 2, -4, -372","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {r: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = k + 105. Solve -4*q + 3*o - 11 + 3 = 0, -q + k = 5*o for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 AM and 12:31 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**2 - 7*n - 9. Determine q(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 14)*(2*m - 3*m + 3*m + (-3 + 5 - 3)*(-m - 5*m + 5*m)).\nAnswer: 30*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*m = -5*m - 5*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8997700 rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l - 7. Let o be u(-9). Solve -v = -o*v + 3 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -499, -867, -1117, -1249, -1263?\nAnswer: -1159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/((-18)\/15*(-30)\/18). What is the nearest to -8 in -5, s, -4\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -585*j**4 + 3*j + 579*j**4 + 3*j**3 - 255 + 264 to m*j**4 + s*j**2 + l*j + i*j**3 + h and give h.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26935, -53900, -80867, -107836, -134807, -161780, -188755?\nAnswer: -215732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 554.6 + -555. Let x = 0 + -1. What is the nearest to -2 in b, x, 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3279 divided by 98.\nAnswer: 3279\/98","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 3 = 3*h. Suppose -h*a - 57 = -3*p - a, 2*p + 4*a - 8 = 0. Is 9 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 1\/4, 248, 0, 2, 4, 0.4 in descending order.\nAnswer: 248, 4, 2, 0.4, 1\/4, 0, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 2729*t - 981*t + 2989*t in the form n*t + a and give n.\nAnswer: 4737","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = o**3 + 3*o**2 + 2*o - 2. Let a = -1213 + 1211. Let x(u) = -1. What is a*x(v) + k(v)?\nAnswer: v**3 + 3*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, -53\/4, 1, -0.3, 3\/5, -5 in descending order.\nAnswer: 1, 3\/5, -1\/5, -0.3, -5, -53\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 397 a factor of 189228462?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 55508914 to the power of 1\/2, to the nearest integer?\nAnswer: 7450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1650 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 27*b**2 + 5 + 8*b + 1 - 26*b**2 + 3. Determine n(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -33934770?\nAnswer: 1\/11311590","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-18)\/(-21))\/(4\/(-28)). Calculate the smallest common multiple of 26 and ((-15)\/c)\/((-3)\/(-24)).\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 2*k + 3 = 0, -5*q + 3 = 4*k - 0*k. Determine v, given that 3*v**2 + 5*v**q + v - 5*v**4 - 6*v**3 - 6*v + 2*v**2 + 6*v**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -13*t**2 + 49*t - 258. Let m(i) = -10*i**2 + 45*i - 260. Let b(f) = 4*m(f) - 3*o(f). Determine b(16).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6633.\nAnswer: 3, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -952 = 7*v - 1001 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of f**5\/60 + f**4\/4 - f**3\/3 + 6*f**2. Let u be t(-7). Suppose -h + 4*v + 12 = 0, u*h - 165 = -2*v + v. Does 4 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 7:54 AM?\nAnswer: 5:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -3*o**3 - 2*o**2 - 2*o - 1. Let r be u(-1). What is the greatest common factor of r and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of -m**4\/2 - m. Suppose -5*z + 437 = -3*j, 4*z - 235 - 113 = 2*j. Let r(w) = -174*w**2 + 87*w**2 + z*w**2. Give r(t(d)).\nAnswer: -72*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*n + 212 = -103 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000390306 rounded to six dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, v: 8}. What is prob of picking 1 w and 1 v?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 4*g + 1. Let y be (-2 - -3)\/((-1)\/(-2)). Let h be (-10)\/45 + y\/((-36)\/50). What is w(h)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 536959 = 18428*x - 1728*x - 1582404 + 499463 for x.\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-2) - 1\/4. Let k(n) be the first derivative of n**2\/2 + 6*n + 4. Let c be k(-6). Is c at least x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -225809, -451619, -677427, -903233, -1129037?\n\"Answer: k**2 - 225813*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -l**5\/6 + 97*l**4\/6 - 2473*l**3\/6 + 1645*l**2\/2 + 6627*l = 0.\nAnswer: -3, 0, 6, 47","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 21418*b**3*z**5 + b**3*z**3 - 2*b**3*z**2 + 26*b**2*z**2 + 50*b*z wrt z.\nAnswer: 1285080*b**3*z**2 + 6*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -682478460 divided by -1990.\nAnswer: 342954","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -15 + 1480*g - 1496*g + 3 - 11. What is the tens digit of j(-14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a - 22. Let x(o) = -44*o**2 - 9*o + 177. Give 8*k(g) + x(g).\nAnswer: -44*g**2 - g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 257914500 to the power of 1\/6, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Do -89\/3 and 8 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 93\/1096 and -109\/6028.\nAnswer: 12056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 0.3, 3 in descending order.\nAnswer: 21, 3, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 54923275 and 44?\nAnswer: 219693100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 15003, 30018, 45041, 60072, 75111?\n\"Answer: 4*i**2 + 15003*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:42 PM and 9:40 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 74*h + 80*h - 116*h in the form u*h + n and give u.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.85 - 0.15. Let v = n - -10. Let l = 7 - v. Sort -0.2, -4, l in descending order.\nAnswer: l, -0.2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 270 and 535762080?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cdcrrdrucr. What is prob of sequence cu?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 - 6*i**2 + 23*i + 7. Give w(-9).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 4.8 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n**2 - 239 + 475 - 232 - 6*n - 2*n**3 + 3*n**3 to the form y*n**2 + q*n**3 + w*n + r and give w.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the first derivative of c**4\/4 - 4*c**3\/3 + 2*c**2 - c + 3643. Let s(v) = v**3 - 8*v**2 + 7*v - 2. Give 5*n(h) - 3*s(h).\nAnswer: 2*h**3 + 4*h**2 - h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 4*i - 3 = 4, 3*i + 6 = 0. Which is smaller: -2\/9 or l?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 620*f**2 + 36*f**3 + 1 - 620*f**2 to the form k*f**3 + s + a*f + d*f**2 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 60 = c. Is 5 a factor of 164\/14 - c\/(-42)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a3069 (base 13) to base 16.\nAnswer: -a201d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.5366 to 1 dp.\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/(-9)*(-35)\/(-3675)\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4062?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -554167*b*c**2 - 55*c**2 + 3*c - 517 wrt b.\nAnswer: -554167*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13875015 is divided by 6304.\nAnswer: 6215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 68*x + 155 - 631 for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_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: Differentiate -8864*d - 30772.\nAnswer: -8864","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*q**2*w**3 + 23*q**2*w - 474*q**2 - 12890*q*w**2 - 6*q - w**3 wrt q?\nAnswer: -6*w**3 + 46*w - 948","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.04*8\nAnswer: -0.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) -7 (c) 209\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:40 PM and 6:25 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -58*x**3 + 4*x**2 - 7*x + 8. Let w(z) = -61*z**3 + 3*z**2 - 6*z + 7. What is 5*i(k) - 6*w(k)?\nAnswer: 76*k**3 + 2*k**2 + k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = 649*s - 644*s - 11, -5*y + 34*s - 92 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 58 and 6583.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 + 1)*(8 + -8). Let b be 0\/((j - -1)*2). Suppose b*i + 238 = 7*i. List the prime factors of i.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -2*h, 3*g + 4*h - 21 = -h for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 7) to base 5\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61967849.\nAnswer: 191, 324439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (12\/10)\/((-2)\/(-40)). Let z = -13 + p. What is the remainder when 31 + 1 + 2 + -2 is divided by z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2453 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/18 - (3 - 30\/9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w = -2 + 23 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o + 3. Let u be 7 - (-2 + 4 + 1). Suppose u + 8 = -2*z. Let s(j) = 2*j + 4. What is z*l(m) + 4*s(m)?\nAnswer: 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b + 1. Let p(n) = 2*n + 13. Let s be p(-9). Let r(f) = -4*f**2 + 2. Let k(w) = 3*w**2 + w - 3. Let d(l) = -3*k(l) - 2*r(l). Give s*g(o) + d(o).\nAnswer: -o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 118992 and 17353.\nAnswer: 832944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3152925365 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 948522?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*q = -157*q - 1404 for q.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2\/3, 3, 5, -16962, -1\/4, -12, 1?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/21 + 4832*q\/21 + 19424\/7.\nAnswer: -2*(q - 2428)*(q + 12)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18396 by -252.\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(3\/10)*g**(-1\/2)\/g assuming g is positive.\nAnswer: g**(-6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 40926943 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 4*g = -8*b + 188, 0 = b + 3*g - 30. Let r(n) = -15 + 15*n - 21 + b. Does 9 divide r(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence br when two letters picked without replacement from {r: 7, b: 2}.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.053 * -2026081\nAnswer: -107382.293","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/45)\/((-4)\/(-3))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2464 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.152845 to three decimal places.\nAnswer: 0.153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 24, -30 = -208*p + 206*p + 4*o. Solve -11 = -p*i + 2*l, 0 = -6*i + 2*i + l + 18 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-10))\/w**7)\/(w*(w**(-2)\/w)\/w)**39 assuming w is positive.\nAnswer: w**101","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12768*u - 12685*u + 1162 = 0 for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (15 - 108\/9)\/(3\/2). Sort n, 4, -15.\nAnswer: -15, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1200 = -85*m + 205*m for m.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 18*j + 15*j - 3 - 14*j + 4*j. Let a(n) = -n**2 - 11*n + 15. Let k be a(-12). Is 27 a factor of i(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 18 - 38. Suppose 4*s = 5*i + 42, -2*i + 4*s + 28 = -4*i. Let w = i + a. Solve -5*o + w*t + 10 = 0, 5*o - t = 4 + 6 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*p + 3*w - 2 + 1, 4*w - 28 = -4*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -69\/16 and 53\/1118?\nAnswer: 8944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 1 = -7. Suppose 3*l - 5 = r. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (345*l - 23*l + 106*l)*(-5*l**2 + 0*l**2 + 3*l**2) - l - l**3 + l - l + l**3 + l + (-2*l + 2*l + 2*l**2)*(3*l + 2*l - 3*l).\nAnswer: -852*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 4160 + 1656. List the prime factors of s.\nAnswer: 2, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1\/2))**18*(u\/u**(-1))**30 assuming u is positive.\nAnswer: u**51","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 658?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 125 and 1125.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 214370253?\nAnswer: 3, 421, 18859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 - -3 - (1 - -3)) + 23. Suppose -l - 3*l = -3*f + j, 8 = -l + 2*f. What is the nearest to 0 in 2, l, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 597, -10, 1, 5, -4 in descending order.\nAnswer: 597, 5, 1, -4, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = s**3 - 9*s**2 + 22*s - 5. Calculate the remainder when -2*3\/(-3 - -2) is divided by g(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the first derivative of l**3\/3 + 13*l**2\/2 - 9*l + 27. Let x(c) = -c**2 - 19*c + 13. Let i = -3 - 2. Suppose 128 - 471 = 49*y. Give i*x(u) + y*k(u).\nAnswer: -2*u**2 + 4*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2 - 16. Let l(r) = 8*r**2 + 16*r + 51. What is l(s(h))?\nAnswer: 8*h**4 + 240*h**2 + 1843","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*a**3 + 25*a**3 - 136*a**3.\nAnswer: -52*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 17855 divided by -505\nAnswer: -3571\/101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 5*m = -60, -4*m = r - 2*m. Let o = 2\/159 - -151\/636. Which is the closest to -1? (a) o (b) r (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = y - 154, -3*y + 3*o = -5*y + 336. Let g(i) = 78 - y + 41*i**2 + 84. Let f(r) = -r**2. Give f(g(x)).\nAnswer: -1681*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*i = -9*i + 156. Let g = i + 104. Does 13 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10420 and 55140.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y - 232. Let h(a) = 164. Let z(w) = 7*h(w) + 5*s(w). Let x(k) = 6*k + 13. What is 6*x(m) + 7*z(m)?\nAnswer: m - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -8 + 2. Let p(g) = -g**2 + 11*g. What is the remainder when p(o) is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 88925*s - 10. What is u(0)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**4 - 64997516*b**3 - 528084635771282*b**2 = 0. Calculate b.\nAnswer: -16249379, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -12*l - 24. Let b be q(-4). Let o be -5*(b\/(-16))\/((-5)\/(-4)). Is 5 != o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -2*a**3 - 9*a**2 + 7*a - 3. Let s be l(-6). Is (-18)\/s + (-485)\/(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 - -6.5. Let q = p - 11. Let m = q + 1.2. What is the second smallest value in -0.2, m, 3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-14)\/(-35) + (-12)\/5. Let q(j) be the first derivative of -j**3\/3 + j**2\/2 + 218. Calculate q(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3197410?\nAnswer: 2, 5, 47, 6803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 44707886 plus -1568?\nAnswer: 44706318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q**3 + 2*q + 1. Let m be w(2). Let g = 25 + m. Is 7 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - -2323?\nAnswer: 2324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 248 - 244. Suppose x - g = 78, 0 = g + g + k. Is x even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.0466577kg?\nAnswer: 46657.7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of l*t**3*z**2 - 18*l*t**3 + 33*l*t*z - 17*l*t - 706*t**3*z**2 + t**2*z + 3*z**2 wrt t.\nAnswer: 6*l*z**2 - 108*l - 4236*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -33 + 39. Let r(t) = t**3 - 5*t**2 + 2*t - 5. Let x be r(5). What is the third derivative of -5*u**2 + 44*u**x + 0*u**6 - u**q - 44*u**5 wrt u?\nAnswer: -120*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the third derivative of -d**6\/20 + d**5\/20 + d**4\/6 + 144*d**2. Let v = 0 - -1. Let m(k) = k**2 + k. Give v*b(t) - 3*m(t).\nAnswer: -6*t**3 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-8)*(2509824\/(-171))\/256.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 49212 + -49208. Let u = -2 - -12. Solve 3*k - u = -p, f*k - p = 3*k + 6 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -22762a0 + 6?\nAnswer: -2276297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 - 79. Suppose -3*w = 90 + 9. Let z = w - n. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1 + -1. Let a = -399.5 - -401.509. Let v = a - 0.009. What is the closest to i in v, 2\/7, 0.5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.7744ml in litres?\nAnswer: 0.0067744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 4\/3*21\/(-7). Is q at most as big as -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - -3. Suppose y - 2 - 10 = 0. Calculate the smallest common multiple of c and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/17 (b) -307 (c) 126 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1219536 and 960.\nAnswer: 24390720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13 + 5 - 3*f + 8 + 2*f**2.\nAnswer: 2*f**2 - 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 474 + 330 = 0. What is the tens digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1 - 1.1. Let u = 13 + -9. What is the smallest value in w, -0.5, u?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 15831278.\nAnswer: 15831278","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (35\/(-63)*-1)\/((-104)\/156).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 28192*n + 140971. Determine t(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is d2979 (base 16) in base 6?\nAnswer: 30253241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 - 11*t**2 + t + 13. Let w be c(-11). Suppose -3*y = -5*q + 26, 0 = w*y - 5 - 1. Does 7 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 2*m**2 - 233619*m + 233620. What is d(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-90)\/105)\/((-6)\/14))\/(-1*5).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*n - 13 - 86. Let r = n - -1. Solve 5 + r = 5*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -388*a*m**2 - 13*a*m - 741221*a + 20*m**2 - 2*m with respect to m.\nAnswer: -776*a*m - 13*a + 40*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 65588 or 97?\nAnswer: 97","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1110 (base 4) to base 9\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together 42 and 57892124721.\nAnswer: 57892124763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165 = -4*x + 47. Let n = x + -48. Which is the closest to n? (a) -0.3 (b) -0.5 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2965 - -1035. Round w to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 AM and 3:23 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, 3, 5, 48614, 14\/11, -0.5?\nAnswer: 48614","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-4) + (-1035)\/(-12). Suppose -4*r - 5*a = 88, 4*r - a = -2 - o. Let f = 69 + r. What is the remainder when f is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -503.77192 - 2.1?\nAnswer: -505.87192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhhh when four letters picked without replacement from ooohoohoooooohohhoo?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 b when two letters picked without replacement from ttggttgggtbgg.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1095 not equal to -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 12647629 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (385\/231)\/((-110)\/(-4884)).\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seventy-two sevenths of a week?\nAnswer: 1728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 5*x - 15. Suppose 97 = -8*v + 113. Determine r(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 335551 (base 8) to base 6\nAnswer: 2233305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1568*w + 83*w**2 + 1568*w)*(3*w**2 - 2*w**2 - 2*w**2).\nAnswer: -83*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -680\nAnswer: -3400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(735)*3*-6)\/(sqrt(45)*3 + sqrt(50)\/sqrt(250)) + -2)**2.\nAnswer: 1260*sqrt(3)\/23 + 299791\/529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 + 0 - 3)*(-2*c - c + 4*c) + 4 + 3*c - 4)*(-211 + 530 - 2*c**2 - 269) in the form o + z*c**3 + h*c**2 + u*c and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-18)*3\/(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4a - 0?\nAnswer: -4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(-2) - (-22)\/4. Suppose -17 = l + 5*o, 0 = 2*l - c*o - 22 - 19. Differentiate k**3 - 2*k**3 + l - 4*k**3 wrt k.\nAnswer: -15*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbbbbbbbrbbbbbbbb. Give prob of picking 2 b.\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 34489789 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7457354813 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6806 a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (415\/(-5229)*12\/(-15))\/((-60)\/(-42))?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -24 + 495051\nAnswer: 495027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3024) + sqrt(3024)*-1 - sqrt(3024))\/(sqrt(3) + (sqrt(3) - sqrt(192)\/sqrt(4))).\nAnswer: 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 416579*j*o**3*r**3*t + j*o**2*r*t + 2*j*o*r**3 + 3*j*r**3*t - 5*j*r**3 + 2*j*t + 662*o**2*t - 21*t wrt o.\nAnswer: 2499474*j*r**3*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 66 = 2*m, 2*a = -m - 3*a + 41. Suppose -1 - m = -2*r. Is r a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 51, 66, 81, 96?\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 113*g**3 + 2*g**2 + 2*g + 1. Give h(-1).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 - -4. Let x(j) = j**2 + 5*j - 6. Let t be x(m). Suppose -5*v - 15 = 0, 5*a - 3*v = -4*v - 8. Put a, t, -3 in ascending order.\nAnswer: -3, a, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3319?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -21*f**2 - 228*f + 374. Determine u(-14).\nAnswer: -550","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 1845415.089 milliseconds?\nAnswer: 0.0030512815625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9 + 14. Let q be 8\/(-12) - (-2661)\/9. Calculate the common denominator of v and 1\/4 + q\/(-60).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -3*k**3 - 21*k**2 - 101. Determine l(0).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 522\/(-8)*(-96)\/(-1584). Let x = 60\/11 + r. Solve 3*i**3 + 0 + 9\/2*i**2 + 0*i - x*i**4 = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 38, 47, 58, 71, 86, 103?\n\"Answer: w**2 + 6*w + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8709\/890 - 117\/89. Find the common denominator of r and 121\/18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39 + 8*k + 39 + 5*k.\nAnswer: 13*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 t when three letters picked without replacement from ntnfnkqpqknttqnnn.\nAnswer: 63\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 6, 19, 58, 135, 262, 451?\n\"Answer: 2*a**3 + a**2 - 4*a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5114 + 10*n**3 - 1699 - 1714 - 1701 - 11*n**3.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -2*y**3 + 5 + 63*y - 198*y + 66*y + 66*y. Let s(j) = -7*j**3 - 8*j + 15. What is 3*s(b) - 8*t(b)?\nAnswer: -5*b**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 991902 (base 14) to base 7.\nAnswer: 62056102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*-2*sqrt(468))\/sqrt(12))\/((sqrt(240)*6)\/sqrt(5)).\nAnswer: -sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, k: 2, p: 4, j: 1}. What is prob of sequence kjpp?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -91 + 93. Let i(n) be the second derivative of 17*n**4\/12 - n**3\/2 + 3*n**2\/2 - 2*n. What is the tens digit of i(u)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 799664\/112 + 10 + 4\/28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -2\/971 and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -5*d - 4. Let j(s) = 1447*s - 721*s - 726*s - s**2. Determine y(j(m)).\nAnswer: 5*m**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4942*t**6 + 2*t**5 - 2*t**3 - 11094*t**2?\nAnswer: -593040*t**3 + 120*t**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1376*y - 1353*y - 161 = 0 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -k - 1916 + 6356. Suppose h - 462 = -2*i + 427, 5*h + 5*i = k. What are the prime factors of h?\nAnswer: 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 4*b = -2*c + 515, -5 = -b. Let l = c - -1343. Let p = 2359 - l. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/8 in 0.3, -1\/4, 2, 71?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7 and 882.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38514 = 1126*a - 340*a for a.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 50\/5*1\/(-2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -7*v**2 - 25*v - 15. Let f(y) = -3*y**2 - 12*y - 7. Give -13*f(g) + 6*z(g).\nAnswer: -3*g**2 + 6*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2.14 (b) 0.3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 720, 629, 484, 291, 56, -215, -516, -841?\nAnswer: -1184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d - d - 3*d + 1 - 11*d.\nAnswer: -15*d + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (894 - 887) + (-1 - (-1 - -2)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15 + 27. Let m be (1 + -5)*(-9)\/b. Let i(z) = 4 + z**2 - 3 - 1 + z + 1. Determine i(m).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2434, 564 in descending order.\nAnswer: 564, -5, -2434","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three fifths of a millennium?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.310155kg to grams.\nAnswer: 9310.155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 5895*j**2 + 88418*j\/3 - 35\/3 = 0. Calculate j.\nAnswer: -5, 7\/17685","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 37112 by -45.\nAnswer: -37112\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 93.571*1.\nAnswer: 93.571","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/(-5) + 8930\/(-50). Let u = 465 + w. Suppose 2*p + 3*g + 3 = u, g = -1. Is 15 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 287.5*-0.5.\nAnswer: -143.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.181 + 5.469. Let q = k - -1.35. Which is the nearest to -0.1? (a) -0.5 (b) q (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-2\/11)*c**(-2\/5))\/((c*c**(-2\/7))\/c)**16 assuming c is positive.\nAnswer: c**(1921\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 10*f + 4. Let p(w) = 2*w + 1. Give -6*m(k) + 28*p(k).\nAnswer: -4*k + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d, 1 t, and 1 g when four letters picked without replacement from dtsgsdl?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -198*l**2 + 609*l**2 - 202*l**2 - 201*l**2. Let j(h) = -16*h**2. Give j(c(s)).\nAnswer: -1024*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (-17 - -15) + (-1 - -5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27859441\/344 - -80987. Find the common denominator of z and -113\/20.\nAnswer: 1720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*f + 11 - 35. Solve f*d - 2*d + 5*l + 11 = 0, l = -2*d + 5 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106*c + 200*c - 90*c = -100 for c.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -8840, -17514, -26018, -34352, -42516, -50510, -58334?\n\"Answer: 85*l**2 - 8929*l + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3726\/(-207) + (22 - 2). Factor -12\/5*n + 14\/5 - 2\/5*n**o.\nAnswer: -2*(n - 1)*(n + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i**3 + 10*i**3 + 78 + i**3 - 78.\nAnswer: 8*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**7\/(u\/((u\/((u**4\/u)\/u)*u)\/u*u)))**(3\/20)\/((((u\/u**0*u)\/u*u)\/u)**(7\/9)*u**(2\/15)\/(u**(-2\/13)\/u)) assuming u is positive.\nAnswer: u**(-1363\/1170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/48 and -125\/12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -45*o - 237. Determine h(-5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 12:38 AM?\nAnswer: 4:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggf when three letters picked without replacement from {z: 1, f: 2, t: 4, p: 2, r: 1, g: 2}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 475 and 38.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 41 - 44054530?\nAnswer: -44054445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/720 and -31\/406834.\nAnswer: 146460240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/4323 and 145\/1572.\nAnswer: 17292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 8 + 16 = 0. Let c be 7\/(7\/(-470))*-11. List the prime factors of c\/30 - 1\/((-6)\/g).\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, 0.5, 119420, -1, -6?\nAnswer: 119420","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-17) + 96\/51. Solve -2 = a*l - 6 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86340*x**2 + 147910*x**2 - 61570*x**2 - 12*x**3.\nAnswer: -12*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -6*n**2 + 2*n + 1. Let u(w) = w. Let i(d) = -2*u(d) + x(d). Let r be i(-1). Let o(k) = -k**2 - 6*k - 5. Let y be o(r). Solve y = 2*a - a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000035487 to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2380873, 9523583, 21428127, 38094505, 59522717, 85712763, 116664643?\n\"Answer: 2380917*d**2 - 41*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -6*h - 99. Calculate p(-19).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-70*t + 5*t - 128*t + (-3*t + 2*t - 2*t)*(2 - 2 + 1))*(4*t**2 - 5*t**2 + 4*t**2) - t**3 + 3*t**3 + t**3 to x*t**2 + p*t**3 + l*t + k and give p.\nAnswer: -585","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 227 + 163. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39 + -47 + -12 + 76.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 2*m + 12 = 0. Let p be ((-26)\/78)\/((-2)\/(-10)). Which is the closest to -3? (a) -5 (b) m (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 329898 by 164949.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 PM and 6:03 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9702*q**5\/5 - 285432*q**4\/5 + 2204518*q**3\/5 - 1553132*q**2\/5 + 373928*q\/5 - 29584\/5 = 0 for q.\nAnswer: 2\/11, 2\/7, 43\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -791, -4\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1996*f + 995*f + 850 = -1026*f for f.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 19 + -12. Suppose -2*x - 1 = -p. Suppose -3*r = s - 755, -4*r = -x*s + 5*s - 1004. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -253288396, -253288397, -253288398, -253288399, -253288400?\n\"Answer: -o - 253288395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 - 18 = -21*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*j - 6*j + 36*j - 17*j - 19 in the form b*j + p and give p.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i + 3*i - 26768308*i**2 + 53536656*i**2 - 26768370*i**2.\nAnswer: -22*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.3, 1, 0.5, -0.8, -0.5, 25913?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 1911?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -2*s, 2*o - 4*o + 2*s = 2844. Let t = o + -330. Let j be t\/(-28) + (-8)\/(-28). Calculate the highest common factor of 7 and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/((-1)\/(-34)*-3). Suppose -2*t + 2*l = -k, -77 = 2*t - 6*t + l. Calculate the lowest common multiple of t and 18.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 + 41 = -9*p + 69 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -11409978 divided by -4094?\nAnswer: 2787","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58 is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -263*g**3 + 13*g**2 wrt g.\nAnswer: -1578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 + 6*o - 4. Let a be 2\/(3\/54*4). Let y = -13 + a. Let m be 15\/(-2)*y\/(-5)*1. Calculate i(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the second derivative of -1\/12*l**4 - l**3 - l**2 + 0 - 11*l. Give s(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 - 1)*(-4 - 29 + 30 + 60*h) in the form i + j*h and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 9\/4)\/((-81)\/324).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23 (base 5) to base 15.\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5437.388 micrograms to nanograms.\nAnswer: 5437388","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-16)\/40 - 34\/(-10). Suppose 5*d - 24 = -2*y, 2*d - 3 = y + b. Solve -2*j - 10 = -d*o, 3*o - 4*o = 4*j + 2 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3349*c + 3346*c = -2*i + 7*i - 94, -7*c + 196 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-25)\/24)\/5*(-7772)\/48575?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2440864153 to the power of 1\/2, to the nearest integer?\nAnswer: 49405","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*k = -6*k. Find the common denominator of ((-13)\/(-4) - k)\/(22\/66) and (-6)\/(-28) + (-35)\/(-140).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*y**4 - 25*y**4 - 36 + 44*y**2 - 27*y**4 + 26*y**4 + 102*y - 64*y**3 - 5*y**5 - y**5 = 0 for y.\nAnswer: -3, -2, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 145395457 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/24 - 6\/(-8). Let c be (2\/j)\/(36\/90). Suppose 3*v + 4*d - 49 = -17, 5*v - c*d = -5. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fff. Give prob of sequence ff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 457*c + 28. Is o(3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -37 in 1, -8, 2\/9?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -18 + (-20709)\/312 + 84\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 AM and 7:11 PM?\nAnswer: 504","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -373, -376, -379, -382, -385?\nAnswer: -388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 28784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-1\/2)*t*t*t*t**(-5))\/(t\/t**1*t**7))**(-5\/3) assuming t is positive.\nAnswer: t**(95\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15061, 15062, 15063?\nAnswer: 15064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 500*j**3 - 1710477*j + 1710477*j.\nAnswer: 500*j**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*v - 5 = -q, 4*v - 11*q + 32 = -3*q - 10*q for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - 8. Let n = -16.4 - -1.4. Let p = -14.8 - n. Which is the nearest to 0.8? (a) v (b) -3 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 120709 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 29*o**2*q**3 + 26688*o**2*q - 16*o*q**3 + 4*q**3 - q**2 - 2*q wrt q?\nAnswer: 174*o**2*q - 96*o*q + 24*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4963 + 4496. Is -473 greater than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 52090729 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 510 + -2?\nAnswer: 506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, -39, -55, -71?\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from akkttkmtga. Give prob of picking 2 a.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -4, -17, -1 in ascending order.\nAnswer: -17, -4, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g\/(g*g*g*g**(-9)))\/g)\/g)**(-2\/71))**41 assuming g is positive.\nAnswer: g**(-410\/71)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3.2 in -3, 3, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -66 - -66. Suppose 0 = 3*f - i*k - 3*k - 102, -5*f - k = -200. Is f a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26 - -49) + -18 - (2 - -20).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*v + 11*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -0.37446854\nAnswer: 0.37446854","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3\/5 + 1856240*h**2 + 10767649148106*h\/5 + 150745268963772\/5.\nAnswer: 2*(h + 14)*(h + 2320293)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 12\/(-3)*(-15)\/(-6). Let l = 97\/18 - -89\/18. Let x = r + l. Does x = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 6:51 AM?\nAnswer: 7:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 2*x + 2*x. What is the tens digit of 2\/8 + 43\/x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -61 - -74. Let p(w) = 11*w - 35. What is the tens digit of p(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 15 = -0*k. Let v = -57 + 91. Let x = v + -19. What is the highest common factor of k and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes after 3:10 AM?\nAnswer: 1:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 93 + -33. Let f be 2*-3*(-89)\/(-9). Let w = d + f. Which is the closest to -1? (a) -0.2 (b) w (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*h - 2*v - 60 - 79 = 34 - 121, 0*h - 3*v + 8 = -5*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -f*l**2 - 28406*f*l - 6*f - 128329*l**2 + l wrt l?\nAnswer: -2*f - 256658","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(-2\/15)\/(q\/q**3)*(q**(2\/17)*q)\/(q*q**6) assuming q is positive.\nAnswer: q**(-1024\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.4 (b) 13 (c) 3\/7 (d) -19 (e) -4807\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-10656)\/(-40) - (-2)\/(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j + 3*j - 6*j + (-8*j + 28 - 28)*((1 + 1 - 4)*(-2 - 1 + 6) + (-5 + 3 + 1)*(3 - 6 + 4)).\nAnswer: 55*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 356453 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -359 + 1161. Which is greater: h or 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10b2 (base 16) to base 6\nAnswer: -31442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 8 = -2*u. Suppose u*g - 25 - 87 = 0. Suppose -f + 39 = 4*j, 5*j - 3*j = 4*f + 24. Calculate the remainder when g is divided by j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 730 by 371738.\nAnswer: 365\/185869","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -6, 24, 4\/3, 2\/487, 1\/3, -5?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7*(6\/7)\/3. What is the biggest value in 0.2, l, 0.3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -388*v**3 + 12482*v**2 - 101440*v + 16896.\nAnswer: -2*(v - 16)**2*(194*v - 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (36 + 37 - 78)*(2*n - 1 + 1)*(-n - 7 + 42*n**3 - 44*n**3 + 0*n).\nAnswer: 20*n**4 + 10*n**2 + 70*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -96 - 2?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*j - 2*j + 8 - 7*j)*(-2*j**2 - 4*j**2 + 4*j**2).\nAnswer: 6*j**3 - 16*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/(3\/1) + 2. Suppose -f - 5*j + 8 = -c*f, 3*j = 5*f - 4. Let w(n) = 5*n**2 + 4*n + 0*n**f - 2 - 8*n**2 + 4*n**2. Give w(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -703, -735, -789, -865, -963, -1083?\nAnswer: -1225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*k**5\/7 + 2734*k**4\/7 + 43830*k**3\/7 - 227470*k**2\/7 - 476592*k - 1085184\/7 = 0. Calculate k.\nAnswer: -16, -8, -1\/3, 9, 471","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 14\/(-91) + (-54)\/(-13). Let t = 20 + -4. What is the highest common divisor of n and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m - 5*o = -10, 3*m + o = -18 - 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -3, 0.1, -2\/7, -3409\/8?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) 4 (c) 4276\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 0.0018313\nAnswer: -4.0018313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8741442 and -5?\nAnswer: -43707210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 13 = -4*s, 152*s + 3*b + 11 = 148*s. Let u = 59.4 - 59. What is the closest to u in s, 1, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -6, 7.8, -3, -2\/17, 2, -30?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 392720?\nAnswer: 2, 5, 4909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 329*t - 320*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + n**2 + 2 + (-n - 63*n + 2*n)*(-n + 2 - 2).\nAnswer: 63*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.828988 microseconds to seconds.\nAnswer: 0.000008828988","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.2, -2\/443, 0.1, -5\/3?\nAnswer: -2\/443","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 3, -6 in increasing order.\nAnswer: -6, -4, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7554714 is divided by 863.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -60\/211 + 31979\/1899. Which is greater: 16 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 10*x**2 - 10*x + 3. Let z be 1\/5 + (-252)\/60. Let l(b) = 19*b**2 - 21*b + 6. Let f(k) = z*l(k) + 9*y(k). Is f(11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 34, 84, 140, 196, 246, 284?\n\"Answer: -q**3 + 9*q**2 + 30*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 217 * -49\nAnswer: -10633","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - 5. Let u(o) = o. Let b(g) = g**2 - 7*g - 6. Let m be b(8). Suppose 7*d = m*d + 5. Let p(q) = -5*q + 2. Calculate d*p(w) + l*u(w).\nAnswer: -w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**2\/5 + 80312*v\/5 - 321264\/5.\nAnswer: (v - 4)*(v + 80316)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/2 and (17\/(-24))\/((-5)\/75).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 1 + 2. Let c be l*8\/4 + 5. Suppose -2*y + c*k + 111 = 0, -3*y + 150 + 13 = -k. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 4*f - 21 = -4*r, 42*r - 440 = 8*r + 2*f - 3*f for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 2*w = 1411942, 15*x - 3*w + 282378 = 16*x. What is x rounded to the nearest 1000?\nAnswer: 282000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is q in -126*q**2\/11 - 48068*q\/11 + 392608\/11 = 0?\nAnswer: -24538\/63, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(-110) - ((-22)\/143 - 336\/(-1170))\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36762 and 18436143?\nAnswer: 36872286","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-75)\/725*-29 - (-63)\/(-20)\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 375070?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 69278052 to the power of 1\/2, to the nearest integer?\nAnswer: 8323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 443039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-32)\/12 + -4)*9\/21. Suppose 0 = 3*w + 2*s + 10, -2 - 4 = 2*w + s. Which is greater: i or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1579584 a multiple of 152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*i + 16*i = -4*d - 6, -6*i + 3*d = -12 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 12:26 PM?\nAnswer: 12:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -22\/30541 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 45*y - 70. Determine a(5).\nAnswer: 155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16180797 is divided by 757?\nAnswer: 679","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 4*x = -o + 28, -2*x - 4*o + 4 = 0. Let j(y) = -4*y + x - 1 - 1. What is j(3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or -6\/11?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 1799.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 220113201 (base 4) to base 13\nAnswer: 5a34b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n**(20\/7)*n**(2\/19) assuming n is positive.\nAnswer: n**(527\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 112909?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u**3 + 53*u**2 - 21*u - 81. Let d be s(26). What is the greatest common divisor of d and 588?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**3 - 11*c**2 + 16*c + 52. Determine w(9).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 11, m: 5}. What is prob of picking 2 r and 2 m?\nAnswer: 55\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = -h + 22, d + 0*h + 6 = h for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the first derivative of s**4\/4 - 4*s**3\/3 - 3*s**2\/2 - 5*s + 3. Let d = -1 + 7. Is r(d) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -27.200002031 + 27.2. What is l rounded to 6 decimal places?\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a tonne in kilograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2\/(-3)*(-18)\/(-112). Let i = 3.9676 + 0.0324. What is the biggest value in 1, x, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3814 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/((n\/n**(-12))\/n))\/(n\/(n\/(((n\/((n*n\/(n*n\/(n*n**3)))\/n)*n)\/n)\/n))))**(-24)\/(n\/((n*n**(-5))\/n)*n*n\/(n*n\/(n*n**4)))**(4\/21) assuming n is positive.\nAnswer: n**(3988\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3148279?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tvtr when four letters picked without replacement from {t: 3, e: 1, v: 1, b: 1, r: 5, w: 1}?\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of -3*i**5\/20 - i**4\/3 + i**3\/3 + i**2 - i - 445. What is r(3)?\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 3 + 0 = 0, -m + z = -6. Suppose -3*x - 2*w + 8 = 0, -m*x = x + 4*w - 8. Suppose x*a - 5 = 7. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -7*i - 3*a + 56, 2*a = 0. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 90 = -3*z, -q + 24 + 62 = 5*z. Suppose -12*o + q = -8*o. Round o to the nearest ten.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2616 at most as big as -2600?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5\/2*k**3 + 640*k**2 + 2545\/2*k + 635 = 0.\nAnswer: -254, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1093 or -4\/551?\nAnswer: -1093","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 - 7*q - 4. Let w be s(-6). Suppose -16 = 3*h - 7. Let m = w + h. Which is smaller: m or 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 140 - 3?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ekec when four letters picked without replacement from {c: 1, j: 2, t: 1, r: 2, k: 11, e: 2}?\nAnswer: 11\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29787563?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1705.422*0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -59, -1, -4, -3, 114?\nAnswer: -59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -30.6 - -771532.3642?\nAnswer: 771501.7642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z. Let r(t) = t**2 + 2*t - 8. Let l be r(-4). Suppose -4*i + l*i + 16 = 0. Determine h(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -22\/273 and -14\/195.\nAnswer: 1365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*p + 194397 = -96944. What are the prime factors of p?\nAnswer: 53, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1511?\nAnswer: 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + 4 + (sqrt(88)*-3*-2 + sqrt(88))\/(sqrt(8)*-4*-6))**2*-4.\nAnswer: -5723\/144 - 7*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 19324081 to the power of 1\/3, to the nearest integer?\nAnswer: 268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -101*p**2 + 7. Let y(w) = -w**2 + 1. Let g(i) = -s(i) + 4*y(i). Let v be g(3). Suppose 0 = 3*q + 3*z - v, 3*z = -q - 0*z + 284. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 - 3)*(4*s**5 - 47*s**5 - 100*s**5) - 2*s**2 - s**3 - s**5 + 10*s**2 + 0*s**2.\nAnswer: 285*s**5 - s**3 + 8*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 4*o - 6 = 0. Suppose 0*x - 5*i = -x + 6, 3*i = -o*x. What is the units digit of (-3)\/((-2)\/(-4) - x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 10 - (-156 + 148)) + 4 - 31\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 1.86102mg?\nAnswer: 0.00000000186102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1152.17305 and 4.7.\nAnswer: 1156.87305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 - 5*x**2 - 5*x - 2. Let z be w(-4). Sort z, 1\/5, -1\/4, 4\/5 in increasing order.\nAnswer: -1\/4, 1\/5, 4\/5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = 4*d + i, 6*d - 5*i + 15 = 3*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 8\/3*(-412)\/(-824)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 598 - 2666 = -22*i. What are the prime factors of i?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u**2 - 17*u + 42. Let x be t(3). Solve 20*a + 30 + 50 = x for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k - 7. Suppose 55 = -5*m - 0*m. Let n be l(m). Solve 0 = -j + n*j + 9 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 655?\nAnswer: 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0637338 rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 154131.5 years to decades.\nAnswer: 15413.15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 6 + 4 = 0, 3*s + 283806 = 5*v. Is 215 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3099700273.\nAnswer: 5659, 547747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, m: 7}. Give prob of picking 2 m.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 AM and 10:51 AM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 380 is divided by 131.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.715151 rounded to two dps?\nAnswer: 4.72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/((u**(-3\/7)*u)\/u))\/u)\/u**(-7))**(-44) assuming u is positive.\nAnswer: u**(-2288\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(252) + -2.\nAnswer: -5 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 633224, -142, -1, -2 in decreasing order.\nAnswer: 633224, -1, -2, -142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/((b*(b\/b**(1\/6))\/b)\/b)*b*b*b)**(8\/21))**(1\/18)\/(((b**(-2\/5)\/b)\/b)\/(b*(b\/b**(-2\/7))\/b))**(-3\/41) assuming b is positive.\nAnswer: b**(-18637\/116235)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 5*l + 1. Let u(d) = -d**2 + 339*d + 11118. What is the lowest common multiple of h(3) and u(369)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8009 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 3*c**2 + 2*c - 2. Let j = -9 - -5. Let k be l(j). Suppose k = 5*y - 3*y. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.2, 14, 27, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jd when two letters picked without replacement from hhhdhdhdj.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -30, 2, -62, 5, 0, -29, 4 in decreasing order.\nAnswer: 5, 4, 2, 0, -29, -30, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*f - f + 3*f)*(2*f**2 + 0*f**2 - 4*f**2) - 5*f**3 + 0*f**3 - 2*f**3 + 0 + 0 - 4*f**3.\nAnswer: -7*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 625 and 1250625.\nAnswer: 625","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 274 - -5. Let h(p) = p**3 - 3*p**2 + 2*p - 29. Let k be h(5). What is the greatest common divisor of k and r?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89288390?\nAnswer: 2, 5, 29, 307891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b - 3*b + 3*b)*(0*b**2 + 9*b**2 + b**2) + (4*b**2 - b**2 - 2*b**2)*(0*b - 4*b + 3*b) - 4*b**3 - 3*b**3 + 6*b**3 + 158*b**3 - 11*b**3 - 7*b**3.\nAnswer: 118*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2414*c + 0*c**2 - 3*c**3 - 850*c - 848*c + 0*c**2 - 716*c.\nAnswer: -3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/320*-4)\/(48\/40)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(25) + sqrt(100)\/sqrt(4))*-4 + sqrt(300)\/sqrt(192))\/(sqrt(320)*-2*2))**2 + -2.\nAnswer: -27963\/16384","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/29 in 14, 4\/5, 12, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 86600 and 482?\nAnswer: 20870600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 6031*a**3 + 7*a**2 + 8560. Let l(q) = 2011*q**3 + 2*q**2 + 2854. Let i(d) = -7*l(d) + 2*w(d). Differentiate i(g) with respect to g.\nAnswer: -6045*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 - (1 - 2)) + -1. Let r be 1 - 1\/(j\/(-6)). Sort 0, 4, r.\nAnswer: r, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 939780 is divided by 5837.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the second derivative of 5*w**4\/12 + 5*w**3\/6 + 9*w**2\/2 - 19*w. Let o(g) = 3 - 2 - 3 - g - g**2. Suppose 5*m - 27 = 2*m. Calculate m*o(a) + 2*k(a).\nAnswer: a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (73\/(-5))\/((-651)\/315) - (1 + 6).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 6 (base 9) to base 4\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 12 = 10. What is the units digit of ((-442)\/39)\/(i\/(-108))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 10 = 45. Suppose -4*s - 5*k = -13, -5*s + 2*s - 4*k = -n. Let x be 6\/18 + s\/9. Solve l = -x*l + 1 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-6)\/(-26)) + (-5)\/15.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 1365*y**2 + 497*y + 11. Let a(i) = -273*i**2 - 99*i - 2. Let o(p) = 11*a(p) + 2*r(p). What is the second derivative of o(k) wrt k?\nAnswer: -546","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 6\/1169?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010110 + 10?\nAnswer: -1010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + d)*(59*d**3 - 3*d - 442 - 56*d**3 + 2*d**2 + 449) in the form l + o*d**2 + g*d + s*d**3 + m*d**4 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -14*c**2 + 2*c - 8 + c**3 + 0 + 11*c. Let k be u(13). Let b be ((-24)\/(-16))\/((30\/k)\/(-5)). Solve b*s - s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 50*n**4*y + 6*n**2*y - 2171*n*y wrt n?\nAnswer: 600*n**2*y + 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 26\/(-1) + 2 + 1. Let x = m + 24. Let g be (-2)\/(2\/4*x). What is the third smallest value in 4, g, 1\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -112, -188, -244, -274, -272?\nAnswer: -232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qeqeqqepeqeeeeqeqee. Give prob of picking 2 e.\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*y**4 - 444 wrt y?\nAnswer: 24*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 129 (base 11) to base 7\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 79451903 to the power of 1\/2, to the nearest integer?\nAnswer: 8914","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 27\/140 and -17\/44?\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 7\/14*(-3584)\/(-1536)\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 4*s**3\/5 - 45008*s**2\/5 + 179984*s\/5 - 179968\/5 = 0.\nAnswer: 2, 11248","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m. Let o(y) = -3*y - 1. Let v(t) = -2*o(t) + 5*s(t). Let g = 4 + -4. Let j be v(g). Solve -1 + j = -f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a minute in milliseconds?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-158)\/(-395)*(-15)\/(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.4 * -2389.\nAnswer: 3344.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 8*v - 38 = 0, 21*v - 10*v - 10*v = 4*t - 4 - 0 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1929353 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d - 33. Suppose 345 + 45 = -65*x. Let u(p) = -p - 32. Give x*u(z) + 5*n(z).\nAnswer: z + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 144 + -45. Suppose 4*b + p + 633 = 0. Let l = 112 - b. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of a**4\/24 - 41000*a**3\/3 + 4*a**2. Let x be f(0). Round x to the nearest ten thousand.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 39*f + 195. Determine m(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, i: 2, h: 2}. What is prob of sequence hq?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/(-58) + 432\/(-16443) - 185036\/45591?\nAnswer: -54\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1224 in -0.1, 2, -2, -35, 13.4?\nAnswer: 13.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 468 = -12*c. What is the smallest common multiple of c and 60?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8869*m**4 + 33749.\nAnswer: 35476*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 3, 63\/2, -4, 0, -7\/18.\nAnswer: -4, -7\/18, 0, 2, 3, 63\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 35 - 64 - 31 + 136*d**2 wrt d.\nAnswer: 272*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + (-1 - (-21 - -12)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 4491?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22705 by 2.\nAnswer: 22705\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 43560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**2 + 2 - 6*n + 2 + 9. Let j be f(6). Round j to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -141, -287, -445, -621, -821, -1051, -1317?\n\"Answer: -a**3 - 139*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 3*b = -7, 5*c - c = b + 5. Suppose -c = 5*o - 11. Suppose -2*l + 4*l = -3*u - 11, o*l + 4*u + 16 = 0. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 4*s**2 - 27. Let j(x) = -x**2 + 6. Let l(t) = 4*c(t) + 18*j(t). Let a(v) = -905*v. Give a(l(h)).\nAnswer: 1810*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -644\/5 - -128. Sort -5, -2, 1, i.\nAnswer: -5, -2, i, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-27 + (14 - 3) - (-9 + -6)) + 35\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*o - 1141 = -6181. Calculate the highest common factor of 420 and o.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 903558, 1807113, 2710668?\nAnswer: 3614223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14982 and 1480267.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 k when two letters picked without replacement from okrqvkqkkqkryvqkvk.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -25745 + 635?\nAnswer: -25110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*g**2 + 6*g**2 - 9*g**2)*(-3*g + 3*g + g) + 1 - 1 + 2*g**3 + (4*g + 2*g**2 - 4*g)*(-2*g + 5*g + g).\nAnswer: -3*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((sqrt(88) + (-1*sqrt(88) - sqrt(88)))*-2)\/(sqrt(1331) + sqrt(1331) + (sqrt(1331) - sqrt(1331)*-2 - sqrt(1331))))**2.\nAnswer: 6*sqrt(2)\/11 + 1091\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 5514, 5555, 5658, 5853, 6170, 6639, 7290, 8153?\n\"Answer: 5*a**3 + a**2 + 3*a + 5505","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -25315 - -1.7\nAnswer: -25313.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 13*k - 10. Let m(r) = -8*r + 5. Give -4*j(i) - 7*m(i).\nAnswer: 4*i + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 divided by -6?\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -13.9 + 15. Let q = 1.100142 - h. Round q to five decimal places.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*n - 30 = 49*n. Suppose 4*z - 35 = l + 52, 8 = z - 3*l. Suppose -5*v = a - z, -5*v + 46 = 5*a + 11. Solve -n*d + 16 = -3*q, -q + 5*q = -2*d - v for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 n when four letters picked without replacement from vvvnnvvnvvn.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 13 = 5*u, -p = -3*u - 27 + 38 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 9:06 PM?\nAnswer: 5:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (35 + -11 - (7 + 4))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 2678 divide 173507620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 PM and 9:56 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 30109, 30113, 30119, 30127, 30137?\n\"Answer: u**2 + u + 30107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -2.173 and 129173184053.\nAnswer: 129173184050.827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (6 + 164)\/2 - 3. Let y be 2\/5*(m - 17). Solve 10*h + 14 + y = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of -u**6\/900 - u**5\/75 - u**4\/20 + 3*u**3 - 45. Let t(y) be the third derivative of o(y). Find z, given that t(z) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 68*t - 880. Let f be p(13). Sort -4, f, -49 in descending order.\nAnswer: f, -4, -49","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -780*b**2 + 55 - 29 - 26.\nAnswer: -780*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 13537?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the first derivative of 3*g**4\/4 - 12*g**3 + 66*g**2 - 144*g - 102. Factor l(q).\nAnswer: 3*(q - 6)*(q - 4)*(q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of 0 + 0*z + 0*z**3 + 1\/4*z**4 + 6*z**2 + 0*z**5 - 7\/120*z**6. Find the second derivative of m(k) wrt k.\nAnswer: -42*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 10 = 2*u, -u = -2*u + 5. Suppose 14 = v - o. Suppose v*r = 13*r + 5. Solve -2*j - r + 11 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0 and -1935775.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 963*n + 10519 - 61478 = 80 for n.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -4. Let c be 2 + 0 + (-126)\/o. Suppose 4*z - 5*b - 105 = 0, 0 = z + z - 5*b - c. What is the highest common factor of 20 and z?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5\/(-2)*4\/5. Put r, 7, -4 in descending order.\nAnswer: 7, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4.8 - -2.6. Let o = -2 - c. What is the nearest to -1 in o, -4, 2\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -1. Let d(h) = 15*h + 1. Give d(p) - 5*j(p).\nAnswer: 15*p + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003791 to 5 dps.\nAnswer: 0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(126)\/sqrt(2))\/sqrt(9) + sqrt(70)\/(sqrt(30)\/sqrt(3))) + -3)**2.\nAnswer: -24*sqrt(7) + 121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m + 2 + 23. Suppose 34 = b - m*d, -3*b + 50 = -0*b - 2*d. Let o = b + 4. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -3. Let c(t) = t - k + 4 + 0. Let i = 125 + -128. Calculate c(i).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 + 4. Let u be -2 - (1 + -3*1). Suppose -20*i - 67 = -367. Calculate the remainder when i is divided by o(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130792082 divided by 6?\nAnswer: 65396041\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 + 8*u. Let y be 28\/5 + (-2)\/(-5). List the prime factors of b(y).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45*c**3 - 19*c**3 - 27*c**3.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*r - 119*l - 52 = -118*l, -24 = 4*r + 2*l for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, q: 1, p: 5}. Give prob of sequence qpp.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14771940 is divided by 4818?\nAnswer: 4770","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do 131\/4355 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(1872) + (sqrt(91) - 2*sqrt(91))\/sqrt(7))**2 + ((sqrt(52) - sqrt(6292)*-2) + sqrt(52))\/sqrt(4).\nAnswer: 2*sqrt(13) + 1574","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 82 + 85*d + 94 - 73*d + 116. Let c be r(-24). Solve 9\/2*i**3 - 15\/2*i**2 + 0 - 25\/2*i - 1\/2*i**c = 0.\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70286500 + 70286500 + 4711*y.\nAnswer: 4711*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -42*c*d*g**2 + 99*c*d + 48*d*g**2 + d - 325*g**2 wrt c?\nAnswer: -42*d*g**2 + 99*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 286957795?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7287999*c**4 - 2*c**3 + 112033929*c wrt c?\nAnswer: 87455988*c**2 - 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1000658?\nAnswer: 2, 491, 1019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 a when two letters picked without replacement from uwsuuuwwsvwuussuasas.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -72657 and 7.\nAnswer: -508599","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y + 48 = -5*q, -4*y = -3*q + 40 - 8. Let m(v) = -v**2 + 3*v - 2. Let h be m(3). Let c = -1.6 - -2. What is the third smallest value in q, h, 0.2, c?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 864 and 168?\nAnswer: 6048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 3 - 3)*(-g - 2*g + 5*g)*(4 - 4 + 2)*(-3 + 5 - 3) in the form t*g + f and give t.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19471, -77635, -174567, -310261, -484711, -697911?\nAnswer: -949855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22*i - 8*i**2 - 1 - 22*i + 41*i to the form c + b*i**2 + g*i and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 26, -177.72, 3, 0.5 in descending order.\nAnswer: 26, 3, 0.5, -177.72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 10 = -5*c. Let x(b) = -b**3 - 3*b**2 - 2*b - 4. Let m be x(-3). Solve c = -m*a + a, -11 = -5*l + a for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2985334 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes before 2:42 PM?\nAnswer: 10:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 i when three letters picked without replacement from izzzfiiizzfizff.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**2 + 187155*y - 99787450.\nAnswer: -5*(y - 36890)*(y - 541)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**2 - 2*t - 25. Calculate g(8).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -30.5 - -33. Let y = h + -2.9. Which is the nearest to 0.1? (a) -12 (b) 2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000407 rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2234 - 220314341?\nAnswer: -220312102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 19 + 40*a**2 + 29.\nAnswer: 40*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/(-63)*12)\/(6\/(-9)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -11*x**3 + 9*x**2 + x + 32. Let t(m) = 2*m**3 - m. Let a(v) = r(v) + 5*t(v). Let c be a(8). What is the highest common factor of c and 72?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6, -0.1, 4\/7, -1.1, -4?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**2 + 32*q + 201. What is x(-7)?\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 - -17. Suppose -m = 7 - 4. Let y = -7 + 2. Which is the closest to z? (a) 2 (b) m (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -7*l + 2357*l**2 - 2436*l**2 + 16*l - 9*l. Let t(s) = -11*s. Give t(r(f)).\nAnswer: 869*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(144) + (sqrt(144) - (sqrt(144) - -1*sqrt(144))))*6 + sqrt(144))\/sqrt(8) + sqrt(108)\/(sqrt(6) + -4*sqrt(150)) + -1.\nAnswer: -1 + 54*sqrt(2)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 AM and 8:37 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -4\/5 (b) 2\/9 (c) 2\/205 (d) 9376\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 161 - 76. Suppose -6*m = -47 - a. What is the remainder when 37 is divided by m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 93129*i - 14. Let x(c) = -279388*c + 41. Let f(z) = 14*k(z) + 4*x(z). Let b be f(8). Round b to the nearest one hundred thousand.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 973418174.\nAnswer: 2, 1231, 395377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2814712 to the power of 1\/2, to the nearest integer?\nAnswer: 1678","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7 - -2)*3\/3. Let v be 2*(-9)\/6*(-5 - -6). Sort n, v, 5 in increasing order.\nAnswer: n, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -901 = -92*c + 628 + 403 for c.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 15*g**2 - 6*g + 6. Let a(q) = -31*q**2 + 13*q - 13. Let v(m) = 6*a(m) + 13*x(m). Let l(n) be the third derivative of n**4\/24 + 3*n**2. Give v(l(s)).\nAnswer: 9*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1 - 2\/6)*3. Let j be ((-5)\/(-3))\/(l\/(-12)). Suppose 2*g = 4*g + 2, -j*g - 14 = -3*t. Solve -t*x + 2 + 7 = 0, 4*s + 5*x - 3 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -32 + 4. Let b = 57 + c. Let k = -4 + b. What is the remainder when 72 is divided by k?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -5*d + 20. Let h be a(3). Suppose 0*p - h*p = 25, -j - 62 = 4*p. Let m = 172 + j. Is m a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xasaxssfffxxisffxaa. What is prob of sequence aa?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41, -45, -59, -89, -141, -221, -335, -489?\nAnswer: -689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -173\/2545 - -2\/1527. Put 3, i, -3\/4, 2 in descending order.\nAnswer: 3, 2, i, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/2 + ((-27)\/(-1) - 21). Let d(z) = z**3 - 2*z**2 - 4*z + 4. Let b be d(3). Let v = b + 2. Solve -n - v = -o*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 389 is divided by 19.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooootooooooot. What is prob of picking 2 o?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 978465*s. Let h(c) = 176*c. Calculate h(j(v)).\nAnswer: 172209840*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102 = -w + 4*w. Suppose -3*i = -w + 13. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6444 and 6678.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 191 is divided by 106.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -110 + 69. Let q = j - -74. Does 15 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51189 = 2*b + 2*z + 17913, 2*b = 2*z + 33292. What is the hundreds digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -858082248*f**4 - f**2 + 9*f - 1133970.\nAnswer: -20593973952*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the second derivative of t**4\/12 + t. Let b(r) be the second derivative of -5*r + 0*r**2 + 0 - 1\/6*r**3. What is b(j(o))?\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 394 + 516. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*p**2 + 14*p + 2*p**3 + 4*p**2.\nAnswer: 2*p**3 + 14*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -95*h**2 + 1. Let b(j) = -5*j**2. Give b(k(m)).\nAnswer: -45125*m**4 + 950*m**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 17645, -0.28, 2 in increasing order.\nAnswer: -0.28, 2, 17645","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1722 * -0.3.\nAnswer: -516.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 24530 rounded to the nearest 1000?\nAnswer: 25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 8*z**3 + 32*z**2 + 23*z - 1. Let d(n) = 25*n**3 + 103*n**2 + 72*n - 2. Calculate 4*d(q) - 13*h(q).\nAnswer: -4*q**3 - 4*q**2 - 11*q + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*(-1)\/(-7) + 23820\/(-140). Calculate the remainder when g\/(-5 + 3 - 0) is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 148 and 60?\nAnswer: 2220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4018 a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 286 is divided by 202?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 39 - (0 + -4 + 6). Let c = h + -40. Let d(u) = -5*u**3 - 5*u**2 + 8. Let b be d(c). Calculate the greatest common factor of b and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -61.332 - -12.142. Let u = -40.4 + -8.6. Let s = u - m. Round s to 2 dps.\nAnswer: 0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 3 + (16 - -3 - 14)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 6*t = -6. Suppose 2*u = k - 2*k - 4, 2*k + 5*u = -12. Let v(h) = h - 14. Let z be v(10). Sort z, t, k.\nAnswer: z, t, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 351 and 1487772?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6.07 - 6.07. Which is the second biggest value? (a) r (b) -5\/4 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 394265557 and 1646?\nAnswer: 823","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 + 7025*o + 154. Let s(g) = 1405*g + 28. Determine -2*r(b) + 11*s(b).\nAnswer: -2*b**2 + 1405*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*c = 35*u + 76*c + 68, -2*u = -5*c + 85 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -25126 + 25129. Solve -9*j - 96 = d*j for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and 3182.3.\nAnswer: 12729.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -40527177*p**2 - 188772229*p.\nAnswer: -81054354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-34)\/(-34))\/(10\/(-4)))\/((-8)\/760)?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 + 1010100101000?\nAnswer: 1010100101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8 - 3. Let x(q) = 2*q + 1. Let k be x(1). Suppose -5*m - k = -2*n, 0 = -n - 4*m - p. Let h(o) = -3*o**3 - 2*o**2 + 1. Give h(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, u: 3, s: 1}. Give prob of picking 1 u and 1 x.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.06 in 2, 1\/3, -1\/18, -0.03, 1?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*d - 5*v - 31, d - 2*v + 0*v - 12 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22983*y + 106512 - 189793 = 1318682 for y.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*m - 1 - 18*m + 15*m - 6 to the form g + k*m and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8899517, -8899518, -8899519, -8899520, -8899521?\nAnswer: -8899522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 3775*w - 2795. Does 139 divide u(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1700)*-2)**2 - -3*sqrt(17)*-2.\nAnswer: -6*sqrt(17) + 6800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-104)\/8 + -1*3?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 8) to base 6\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 32068388\/3 or 10689462?\nAnswer: 32068388\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m + 4*x = 10, -4*x + 20 = -5*m + x for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-15)*6*1\/(-9)\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5835 + -5805. Calculate the remainder when 195 is divided by r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of n**5\/60 + n**4\/4 - 2*n**3\/3 + 2. Let v(z) be the third derivative of c(z). List the prime factors of v(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 156 - 152. Suppose 2*k - 38 = -2*w, 9*k = 4*k - w + 99. Factor -12*i**5 - 35*i**2 + 17*i**2 + k*i**4 + 14*i**2 - x*i**3.\nAnswer: -4*i**2*(i - 1)**2*(3*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zbzb when four letters picked without replacement from zbbbbzzbbbbb.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 558341786 to the nearest integer?\nAnswer: 23629","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6649066.\nAnswer: 2, 31, 107243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -7*d**3 - 5*d + 3. Let t(v) = -10*v**3 - 7*v + 4. Let m(r) = r**2 + 7*r + 6. Let q be m(-5). Let w be 2\/q*2 + -1 - 3. Give w*t(h) + 7*j(h).\nAnswer: h**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 0*o + 3*u + 254 = 0, -2 = -u. Calculate the remainder when o is divided by 15.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 20*n**2 + 25 - n**3 - 2*n + 35 - 13. Let h be o(20). What are the prime factors of 111\/4*(h - -1 - 0)?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3*-5)\/(6\/(-4)). Suppose l + 3*t - f = 0, 3*l + 2*l - 3*t - 32 = 0. Let a(s) = l - 2 - 2 - 2 + s. Give a(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 + 13. Let g be 1\/((-12)\/118) + 1. Let k = 61\/6 + g. Which is bigger: k or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14 by -413.\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -3*y**2 - 42*y + 453. Calculate the lowest common multiple of v(-19) and 63.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + -153012?\nAnswer: -153016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f**3 + 2*f**2 + 2*f + 3. Let p(d) = -d**2 + 1. Let j be p(-4). Let k = j + 8. Let x(a) = 5*a**3 + 4*a**2 + 5*a + 7. What is k*l(h) + 3*x(h)?\nAnswer: h**3 - 2*h**2 + h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10959 (base 10) to base 13.\nAnswer: -4cb0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 31*p + 10. Let q(m) = 89*m + 30. Give -2*q(l) + 7*x(l).\nAnswer: 39*l + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 2*p + 2 = 0, -4*f - 13 = 5*p - 50. Solve 0 = -5*c + 4*c - 1, -5*o = f*c + 28 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 180 = 3*v. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/8)\/(3248\/(-32) + 103)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 9*z**2 + 107*z - 17. Let r be m(-12). Which is the second biggest value? (a) -0.5 (b) r (c) -68\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/10)\/(134 + (-1172125)\/8750)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 33*m**2 + 96*m + 35. Let w(h) = -31*h**2 - 94*h - 30. Calculate 7*w(k) + 6*y(k).\nAnswer: -19*k**2 - 82*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6478\/29837 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (13 - (74 - -3)) + 33 - -84\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4 + -1*(0 - 1). Let y = 0 + -2. Let j = w + y. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/25 of a meter?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -740*o - 342 = 1878. Let j(w) = 6*w + 4. Let b(v) = 5*v + 5. Let l(r) = 4*b(r) - 3*j(r). Let s(g) = -1 + g + g + 8 + 0. What is o*l(k) + 4*s(k)?\nAnswer: 2*k + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 + 26 - (2 + 1 + -1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 4*h**2 - 2*h. Let y(o) = 7*o**2 - 3*o. Let t(b) = 5*i(b) - 3*y(b). Let r(q) = -q - 1. Determine -r(u) + t(u).\nAnswer: -u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2\/45 - -4\/15. Suppose -5*y - 135 = -10*y. Let z = -32 + y. Which is the nearest to n? (a) 0 (b) z (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 2. Suppose -2*m + 1 - c = 0. Which is smaller: -5\/3 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -44986, -45011, -45036?\n\"Answer: -25*w - 44961","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 12 + 19 + (2 + 0 - 1)*(-4 + 0 + 3))*(-609*c**5 + 791*c**5 + 691*c**5).\nAnswer: 11349*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 1\/4 (b) -2 (c) -16.46\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 29\/6 of a day?\nAnswer: 116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o + 30. Let m be x(9). Let d be -19 + m + 1\/(5\/(-9)). Which is the closest to -2\/7? (a) -2 (b) d (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 6, r: 1, b: 7}. What is prob of sequence ffrf?\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 PM and 10:18 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**3 + 150558*s**2 - 2844647190*s + 420516509050 = 0. What is s?\nAnswer: 149, 37565","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 take away -45488013?\nAnswer: 45488012.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fmxmrfffxmfffm. Give prob of picking 2 x.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11560579557 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vt when two letters picked without replacement from {t: 1, l: 1, v: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - x + 45649 = -3*x, 0 = 5*x - 5. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 546 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7147 - -7128. Which is smaller: 29\/4 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*a**2 - 3*a**2 + 2*a**2)*(-1 + 3 - 3) - 2 + 16*a**2 - 18*a**2 + 3)*(-3 + 1 + 1).\nAnswer: 4*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 4*b + 3*s, -4*b = -0*b - s - 3. Factor -2\/5*a**4 + 2\/5*a**3 + b*a**2 + 0*a + 0.\nAnswer: -2*a**3*(a - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4*680 - (-56)\/8.\nAnswer: 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 8*k - 25 = 0. Suppose -k*z + 3*f + 285 = 0, -2*z - 3*f + 114 = f. Does 15 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(288)*2)**2*-6 + (sqrt(288)*1*4 - sqrt(288)) - 3*3*sqrt(18)*2*-6.\nAnswer: -6917 + 360*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 5. Let h(l) = 2*l**2 + 7*l + 1. Let t be h(-9). Suppose 0 = -2*o + t - 88. Is x < o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 99 = -12*u + 27. Let k be u - -6 - (-28 + 1). What is the greatest common divisor of 117 and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.027 - 276048265089.\nAnswer: -276048265089.027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in nine tenths of a meter?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 - 5\/(25\/(-65)). Suppose -p*m - 15 = -17*m. Let v(f) = f**3 - 4*f**2 - 12*f - 5. Let k be v(6). Put k, 1, 2, m in descending order.\nAnswer: m, 2, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/104 + (-17)\/(-6)*440\/(-572).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1027, 75, 11, 2, -2.\nAnswer: -1027, -2, 2, 11, 75","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/13, -0.8, 0.07.\nAnswer: -0.8, -6\/13, 0.07","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1307044um to millimeters.\nAnswer: 0.0001307044","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1257\/(-419)*(-73)\/(-3)\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 1810184467 and -14855.2.\nAnswer: 1810169611.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 781 - 776. Let u(i) = -i**3 + 53*i**2 + 10*i - 10. Let r(k) = -k**3 + 27*k**2 + 6*k - 4. Let v(y) = c*r(y) - 2*u(y). Find x, given that v(x) = 0.\nAnswer: -1\/3, 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 13 - 125 = p, 2*p = 2*u - 208. Suppose 0 = 2*z - d + 247, 245 = -3*z + 3*d - 133. Let t = p - z. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 67 + 45. What is the highest common divisor of 7 and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 110000200001201 + -2?\nAnswer: 110000200001122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**2 - 6*c - 2. Let o be t(7). Suppose a - 56 = o*a. Calculate the remainder when 49 is divided by (-82 - a)*1\/(-4).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90774093 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1413 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11438\/22 - (6 + (-603)\/99) is divided by 35?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-99)\/330 + (42\/(-20))\/7.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 4*x + 15. Let b be f(-4). Are -1\/16276 and b unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 90*r**2 + 3*r - 1. Suppose -5*f + 105 = -50. What is the remainder when x(1) is divided by f?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21909 and 201.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-862)\/(-8) + (-8)\/(-32). Calculate the greatest common factor of h and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 399922 a multiple of 138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - ((-3 + -2 - -1) + (76 - 72)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 + 14\/2 + -1. Suppose -f = -2*z + 6*z + 2, -3*f + 4*z + 10 = 0. Calculate the greatest common factor of f and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 68.67 - 68. Let c = r + -0.6641. What is c rounded to 3 decimal places?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -74 + 54. Let y be (2\/(-3))\/(-1 + i). Which is the biggest value? (a) -1\/8 (b) y (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -l**2\/4 - 1723*l\/4 - 861\/2 = 0.\nAnswer: -1722, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 - 12*z - 4. Let d be g(-5). Suppose q - s + 4 = 1, -3*q + d = 5*s. Suppose 1 = -q*f + 9. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23 - -32. Let z = 12 - c. Suppose 2*i + z*i = -x + 24, i - 12 = -2*x. Calculate the remainder when 17 is divided by x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16987431?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate (198\/88)\/(135\/(-1080)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*k**5 + 350*k**4 - 10*k**3 - 1460*k**2 - 1265*k - 210 = 0. Calculate k.\nAnswer: -1, -2\/9, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*u - 17*u**5 + 6*u - 3*u**2 + 5*u**2 wrt u.\nAnswer: -1020*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4956912 a multiple of 174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*l - 10*l - 45 = 5*v, -5*l + 41 = -v. Calculate the remainder when 5559 is divided by l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 21 = -7. Let w = i - -7. Let q = 1769 - 1785. What is the second smallest value in -2\/3, w, q?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 38.916 to one decimal place.\nAnswer: 38.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 - -6. Suppose 0 = 7*f - 4*f - 15. Let a(g) = -2*g + 0 + 7 - f. Let z(u) = -u + 1. Give l*a(s) - 13*z(s).\nAnswer: s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 882 and 6?\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2359*f = 2429*f + 1120. Let k(d) = -d - 2. Calculate k(f).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*(1645\/10)\/(-7). Suppose -k = -5*g + 128. Suppose -15 - g = -5*x. Does 9 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 - -3. Suppose 0 = -5*i - h - 8. What are the prime factors of (-1 - 21)\/i*1?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 126\/180*15\/28*8\/(-6)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1185 + 899. Let j = 450 + x. What is the highest common factor of j and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**4\/k**(-6)*(k*k*k\/(k\/k**(-5\/3)*k))\/((((k**(-2\/7)*k)\/k)\/k)\/k) assuming k is positive.\nAnswer: k**(244\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 106956 and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 27700 to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 865 is divided by 109.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10*(-11)\/330 - 16\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1665 and 2 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -100 + 107. What is the highest common divisor of n and 133?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 3569636700?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 434?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -109*x - 3. Let n(c) = 1961*c + 53. Determine 53*d(p) + 3*n(p).\nAnswer: 106*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 f when two letters picked without replacement from {g: 1, f: 1, k: 1, v: 4, d: 4}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 228?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-17 - (-10 - -51)) + 34.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, 5, -30, -8, 6 in decreasing order.\nAnswer: 6, 5, 4, 0, -8, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3297.40985212 + -3297.28. Let n = 74.87081788 + m. Let t = n + -75. What is t rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47011949 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2 + (-1)\/(-2)*2. Let q = 0.05 + -0.1. Let t = 0.09 + q. Which is the smallest value? (a) -1 (b) t (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -97*m*x + 20*m - 369*x + 1 wrt m.\nAnswer: -97*x + 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00716817 to 5 dps.\nAnswer: 0.00717","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 945*b + 4*b**2 - 16 - 1903*b + 59 + 953*b.\nAnswer: 4*b**2 - 5*b + 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**3 + 4*l**2 - 3 + 2*l**2 - 37 - 12*l. Let a be z(-5). What is the greatest common divisor of 99 and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1990?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 2*m - 4*h, 32*h = -m + 31*h - 3 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13583\/12736821 - -4\/3061. Let f = -345373\/41610 + t. Calculate the common denominator of -101\/6 and f.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.048 - 2.852. Let q = -2.93 + -0.07. Let r = z - q. What is the closest to -1\/4 in 0, r, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 24 = -24. Suppose 3*p = p + 8, a = -2*y + 5*p - 14. Calculate the lowest common multiple of 4 and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, o: 4, f: 1, b: 2, j: 4, v: 2}. What is prob of sequence bv?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -115 (base 8) to base 15\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from irgugurwru. Give prob of sequence wirg.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001592889637 to six dps.\nAnswer: -0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is n in -n**3 - 477*n**2 + n + 477 = 0?\nAnswer: -477, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -927*d = -68110 + 33811 for d.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 250511449*h**3 + 78516893 wrt h.\nAnswer: 751534347*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*d + 105543 - 52767 - 52764.\nAnswer: -5*d + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 50 and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-18) - 168\/(-27). Let j(s) = s**3 + 27*s**2 - 28*s + 12. Let k be j(-28). Let h = 3 + k. Calculate the highest common divisor of u and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 PM and 5:09 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21 - 1. Suppose p = -6*s + 2*s, -4*j + 3*s = -239. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 6:11 PM?\nAnswer: 1:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -185138 - 1752*i**4 + 185138 + (i**2 + i**2 - i**2)*(2*i**2 - i + i) to the form s*i**3 + p*i + d*i**2 + b*i**4 + w and give b.\nAnswer: -1750","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -5*f - 6*f + 19 + f - 14 + 11*f. Calculate o(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 2*a = 20, -6 - 4 = 2*l + 3*a for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*0.034.\nAnswer: 0.102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2 + 6 = 0. Suppose f*z = 185 + 27. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -6*p + 88. Let m(z) = 2*z**2 - 19*z + 34. What is the remainder when m(p) is divided by 33?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of -f**4\/6 - 940*f**3\/9 + 157*f**2 + 2445. Determine b so that y(b) = 0.\nAnswer: -471, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hg when two letters picked without replacement from wgwhh?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -18706*g**3 + 10*g + 48. Let z be s(-11). Let r be 2\/(-21) + z\/252. Round r to the nearest 1000.\nAnswer: 99000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2301270 is divided by 15549.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3263 * 2491\nAnswer: -8128133","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20368629.\nAnswer: 3, 59, 89, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - p + 1 = 0, 0*p - 2 = -2*p. Suppose -2*z - 4 = -3*a, -z + 11*a = 14*a - 16. Sort t, 2, 3, z in decreasing order.\nAnswer: z, 3, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 41540 + 5?\nAnswer: 41545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2000\/(-6)*(-13 - 44). What is r rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 167\/38292912 and -55\/75816.\nAnswer: 497807856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/2, 14, 0.1, 1\/2, -4 in ascending order.\nAnswer: -4, 0.1, 1\/2, 3\/2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 AM and 9:06 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/(-5))\/(854\/(-1220))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a gram in milligrams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 77028?\nAnswer: 154056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j - 8*j + 8 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -292184 divided by -4?\nAnswer: 73046","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 19*1693 - 23\/46*0 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*o + 62*o + 2261 = 0. Calculate the greatest common divisor of 17 and o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from {y: 5, l: 7, o: 7}.\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of -529*k**5\/60 + 245*k**3\/6 - 2*k**2 + 558*k. Find the first derivative of d(r) wrt r.\nAnswer: -1058*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 divided by 123?\nAnswer: 6\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -3*m + 22. Determine p(9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 403 is divided by 402?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -11*d**2. Let o(n) = 287*n**2 + 179*n**2 - 464*n**2 - 11*n. What is o(c(y))?\nAnswer: 242*y**4 + 121*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 1125 divide 3801014?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:32 PM and 10:22 PM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1282 + -1282.4. Put -1, g, 9.6 in decreasing order.\nAnswer: 9.6, g, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -41 + 29 - (-20 - -1). Solve -2*x + 2*g - 6 = 2*x, 0 = -5*x + 3*g - h for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 982?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -46377.2031 - -46380. Let d = 2.8 - x. Round d to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 537925903?\nAnswer: 537925903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -7*b. Let o(q) = 3199460*q. Give o(p(n)).\nAnswer: -22396220*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (13 - 4*t - 13)*(-2*t + t + 0*t) + 41*t**2 + 51*t**2 - 24*t**2 as q*t**2 + y*t + g and give q.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r, -2*i + 32 = 4*r + 6. Suppose 9 = -2*y + i. Suppose -y*d = 30 - 42. Is d not equal to 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the third derivative of 9*x**4\/4 - 43*x**3\/6 + 64*x**2. What is the lowest common multiple of 25 and s(2)?\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, 6, 1266, 2, -4, 0 in descending order.\nAnswer: 1266, 10, 6, 2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**2 + z**2 + 3*z**3)*(2 + 2 - 5)*(50*z - 50*z + z**2).\nAnswer: -3*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 6243 = s, 26*s - 2*l = 27*s - 6237. Is 15 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1544.494 to the nearest one hundred.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**0\/w**(-1))\/(w*w\/(w**(-9)\/w)*w**(-12)) assuming w is positive.\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1\/46)\/((1539\/54)\/57))\/(-1).\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p*p\/p**(-9))\/(p\/((p\/(p\/p**4*p)*p)\/p*p))*(p*p\/((p**(-6\/7)\/p*p)\/p)*p)\/p**13)**(-2))**(8\/5) assuming p is positive.\nAnswer: p**(-656\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - 2b0?\nAnswer: -2a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 94 + (30 + -74 - 54)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 5.529143s?\nAnswer: 5529.143","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -53466333 (base 8) to base 2.\nAnswer: -101011100110110011011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10641 is divided by 91.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8399\/9 - -8441\/9. Determine f, given that v*f + 16\/3*f**2 + 8\/9*f**3 + 10\/9 = 0.\nAnswer: -5, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of -19*o**3\/6 - 79*o**2\/2 + 31*o + 2. What is the remainder when i(-5) is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5609 = -1933940*s + 1934011*s for s.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 24*u**2 + 19*u**2 + 36)*(-2*u**2 + 2*u**2 + 2*u**2).\nAnswer: -10*u**4 + 72*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4 - -9. Suppose -7 - p = -g. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/600 and (6 - -3) + 48167\/(-5880).\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 0*i - 4*w + 7 = 0, -3*i + 5 = w. Suppose i = -5*v + u + u, 4*u = -5*v + 17. Let f = -0.2 + 0.1. Which is the nearest to f? (a) 9\/5 (b) v (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 344712 and 1465026.\nAnswer: 5860104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -2*x**3 - 7*x**2 - 5*x + 14. Let m(g) = 5*g**3 + 20*g**2 + 16*g - 41. Let k(l) = -8*a(l) - 3*m(l). Is k(8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - 1. Suppose 0 = -q - g*o + 28, 3*o + 8 = -q + 38. Is q a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.064 - -1.574. Let y = 2.01 - n. Which is the third biggest value? (a) 0 (b) -0.3 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s*s\/(s*s\/((s\/((s\/s**1)\/s)*s)\/s)*s)))**(15\/7)\/(s**0)**(-2\/17)*((s*s\/((s**1\/s)\/s))**(-2\/61))**14 assuming s is positive.\nAnswer: s**(-84\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + -4. Let l = m + 8. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 11\/39, -3, 0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 67323037?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2.2 (b) 1\/4 (c) 4 (d) -1\/4 (e) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 344 divided by 168\nAnswer: 43\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/165)\/(2\/(-84)*7).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 22*y**2 + 5. Let o(v) = 7*v**2 + 2. Let h(f) = 8*o(f) - 3*q(f). Suppose 0 = -2*w + 4 - 2. What is h(w)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 691?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 4*t + 446 = -2*a, -3*a - 3*t - 675 = 0. Let u = a + 230. Solve -u*j = -6*j - 6 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54 and 202374.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -6970, -11331, -13078, -12211, -8730, -2635, 6074?\n\"Answer: 1307*a**2 - 8282*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 112 = -2*u - w, -4 = w. Let k(q) = 17*q. Let y be k(1). Let j = u - y. Solve 4*d - j = -0*d for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7939024?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 15968762 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - (5 + -14 + 11 - -13).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 4080.7 to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = m - 84. Suppose -4*c + m + 40 = 0. What is the greatest common factor of 6 and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62900251 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41 is divided by (2 - 1)\/((-2)\/(-22)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 315 and 70.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90\/96*52\/39*1\/(-2).\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 3*u + 9. Let q(j) = -8*j - 25. Let a(g) = -4*q(g) - 11*r(g). Let v(s) = s - 2. Determine -2*a(p) - v(p).\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 4 - -2) + -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 79\/20, -2\/7, -13.3, 0.24?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56571?\nAnswer: 3, 109, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 l when two letters picked without replacement from vsrcccssvrvcrsrvrlc.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.01 - 0.08. Let u be (-6 + 2 + 1)\/(6\/(-28)). Let p be (-20 - -25) + u\/(-3). Sort d, -1\/2, p in ascending order.\nAnswer: -1\/2, d, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 108.4 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 649 or -1.9?\nAnswer: 649","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h - 0 - 2. Find the third derivative of -2*v**2 + 10*v**4 + 9*v**h + 1 - 1 wrt v.\nAnswer: 240*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (14*r + 9*r - 8*r)*(0 + 1 + 2) + 2 - 2 - 2*r + (-4 + 15 + 1)*(-3*r - 3*r + 4*r) + 2*r + 4*r - 4*r as x*r + c and give x.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 47 - 183*s - 95 + 48 as m*s + y and give m.\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 1, -6, -8 in descending order.\nAnswer: 1, -3, -6, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of c**6\/120 + c**5\/15 - 4*c**2. Let v be s(-4). Is 6 <= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.1 - -0.2. Let i = -0.842 - 0.158. What is the closest to 1 in -0.1, i, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 17882*j - 929869. Determine y(52).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.133439 days in hours?\nAnswer: 195.202536","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eke when three letters picked without replacement from {k: 8, g: 5, e: 7}?\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8764?\nAnswer: 2, 7, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together 17 and 56175.\nAnswer: 56192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from xvvvxvxvvxxvx?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + 0 - 1) + -7 + 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 153*l - 3. Is b(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vob when three letters picked without replacement from vnommbnmvv?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of 1\/2*d**3 + 0*d**4 + 0*d**2 + 0 - 3*d + 0*d**5 + 1\/15*d**6. What is the second derivative of b(n) wrt n?\nAnswer: 24*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -250\/7 - -36. Suppose u*d**3 + 10\/7*d + 4\/7 + 8\/7*d**2 = 0. Calculate d.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4161 + -507. Is f a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 4*a - 15 = -7, 2*a = -5*u - 25 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -6\/353, 2565\/2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*j - 20*j + j**4 + j**3 - 25*j - 2*j**2 = 0. Calculate j.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 - x**2 - 6*x + 4. Let v be f(-5). Is (-2 - -1)\/(-2)*v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = 2*i - 22, i + 0*i = x + 8. Suppose -i*v + 4*d = -130, -d + 2*d + 130 = 5*v. Does 13 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.07 + 1.33. Let h = -0.4 + y. Let z = 28.928 - 16.928. Are h and z nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 434.59962 + 0.02038. Let r = 439 - x. Let b = r + -0.28. Is 0 < b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 109 divide 103417?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 3:07 PM?\nAnswer: 4:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2088 to 1 decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108 = 21*u - 39*u. Solve 8 = 2*i - u*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 3*i + i - 15, 2*b = 3*i - 3. Suppose 7 = b*f + 1. Suppose -f*h + 66 = 2*p, -5*h + 200 = -6*p + 4*p. What are the prime factors of h?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -21951 at most as big as -22008?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1727 + -1724. What is the greatest common factor of 44 and i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*h**3*t**3 - 17272*h**3*t**2 + 25*h**2*t**2 - 29224*h*t**3 - 6*t**3 wrt t?\nAnswer: 12*h**3 - 175344*h - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {s: 7, m: 4}.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6642 - -105?\nAnswer: 10050","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -808\/273 - -121\/39. Factor -6\/7*q + 1\/7*q**3 - a*q**2 + 0.\nAnswer: q*(q - 3)*(q + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4737 + 19342. List the prime factors of n.\nAnswer: 5, 23, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a microsecond in nanoseconds?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 81347*s**3*z**3 + 11*s**3 - 4006233*s*z**3 - s + 2 wrt s.\nAnswer: 488082*s*z**3 + 66*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 160 divide 1424786400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 228940 - 151403. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p**3 - 3*p**2 + p - 7. Let x(r) = -2*r + 7. Let j be x(5). Calculate the remainder when m(j) is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 x and 1 z when four letters picked without replacement from zxxxxxxxnxzxxnnxxxz.\nAnswer: 143\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 0*x + 2*x + 3 + 2*x**2 - 3*x**2. Let q = 24 - 26. Determine b(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -160*p + 6 = -162*p. Sort 172, 0.3, p.\nAnswer: p, 0.3, 172","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -6*i - 8. Let m be p(-6). Let j(o) = 36*o**2 - 28*o - 60. Let w be j(-2). What is the highest common divisor of m and w?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 147*c**3\/8 + 3442971*c**2\/8 + 1967124*c + 2248032 = 0?\nAnswer: -23417, -16\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -5*r + 830, -3*l - 2*r + 1180 = -32. What is the highest common factor of l and 2680?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13 take away -3770803?\nAnswer: 3770803.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 105.66*-2.4\nAnswer: -253.584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 25*b**5 - 55*b**4 + 30*b**3.\nAnswer: 5*b**3*(b - 1)*(5*b - 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/31, -1094, 0.1, 2?\nAnswer: -1094","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 19847 and 445?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/96 and 1\/372?\nAnswer: 2976","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 11 and 712609403.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -51*j**2 + 22*j**2 - 26*j + 48*j**3 - 12*j**3 + 15*j**2 + 16*j**2 + 8 = 0?\nAnswer: -1, 4\/9, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 2*h**3 - h**2 + 1. Let j be l(1). Suppose -1 = -j*s + s, 4*y - 22 = -2*s. Solve 5*k - 5 - y = 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqjjjj. What is prob of picking 3 j?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 466180 divided by 93236\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1322107634 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*p - 16*p = -37*p + 2*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3353 in 4, 10, -0.04?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13502\/(-81012)*(-720)\/2.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 3, 1\/4, -6\/7, 1 in decreasing order.\nAnswer: 3, 1, 1\/4, -0.3, -6\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9845*g**2 + 7239*g.\nAnswer: -19690","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -18*y + 71. Let i be s(-17). Suppose -2*a = -141 - i. Let u = a - 149. Calculate the remainder when u is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p. Let n(b) be the first derivative of -7*b**2\/2 - 45. Determine 6*m(c) - n(c).\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**2 - 2*o - 4. Let y(i) be the third derivative of 0 + 0*i - 1\/60*i**5 - 1\/24*i**4 - 1\/2*i**3 + 8*i**2. Determine -3*b(p) + 4*y(p).\nAnswer: -p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/6*8118\/(-7216)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 235769682?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3\/22, -3\/4, 0.07, 1, -1?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 37*n. Let d(x) be the first derivative of -3*x**2\/2 - 69. What is a(d(y))?\nAnswer: -111*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of 1\/3*c**3 - 1\/8*c**4 - 1\/120*c**6 + 0*c**2 - 1\/20*c**5 + 2 + 0*c. Let m(n) be the third derivative of k(n). Factor m(u).\nAnswer: -3*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -174, 135, -1 in ascending order.\nAnswer: -174, -1, 135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + ((sqrt(612) - sqrt(612)*1) + sqrt(612))*1 + -1 - (4 + 1*sqrt(612) + -5 + 0))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -3*b**3\/4 - 2596815*b**2\/2 - 5193621*b - 5193618 = 0.\nAnswer: -1731206, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1228436136 to the nearest integer?\nAnswer: 1071","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z*z**3*z)\/z**(-1\/6))\/(z\/(z*z**(-6)*z)*z**(-5)*z))\/((z**(-1\/3))**(10\/17))**(-15) assuming z is positive.\nAnswer: z**(227\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n - 36 = -6*c, 2*n = -34*c + 38*c - 20 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.5 in 5, -121, 22, -1\/23, -1\/6?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3874\/9 - 430. What is the third smallest value in 5, p, -1\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-32)\/(-6))\/((-536)\/1608).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 + 4*s**2 - 3*s - 2. Let c be b(3). Let q = c + 1. Is q + (1*1016)\/4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102*i - 75*i - 108 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3684\/2763*(17\/3 - 1\/(-3)). Solve -8 = -3*o + 3*i - w*i, -4*i = 5*o + 4 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 + -1)\/((-2)\/7). Suppose -19*g + 4 = -15*g, 2*g = -3*y + 2. What is the smallest value in -0.1, -2\/9, y, x?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 5) to base 8\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10668664193 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 524 is divided by -16 + (-18 - 2544)\/(-21).\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 3*o**2 + 2*o - 2. Let f = 258 + -218. Calculate the remainder when f is divided by i(2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**3 - 4*q**2 - 2*q - 4. Let g = 46 + -50. Calculate z(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 196985.502 hours?\nAnswer: 1172.53275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -2 (b) 30\/11 (c) -13 (d) -145 (e) 0 (f) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7148517 and 153?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3\/2 - 527*r**2\/2 - 69695*r\/2 - 69169\/2.\nAnswer: -(r + 1)*(r + 263)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0041729 rounded to 5 decimal places?\nAnswer: -0.00417","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 2*s + 14 = 0. Suppose a - 28 = -s. Let p = a - -32. List the prime factors of p.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9597569.\nAnswer: 31, 309599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*w + 40 = -134. Put 52, -4, w, -5 in decreasing order.\nAnswer: 52, w, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 + 0*o**2 - 8 - 2 + 5*o + 4*o. Suppose 14*a - 18*a + 32 = 0. What is the lowest common multiple of m(5) and a?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16309?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 58 = 5*v - 4*t, -5*v - 66 = 3*t. Let x(f) = -2*f**3 + 4*f**2 - 3*f + 3. Let y be x(3). Let b = v - y. Solve -15 = -5*h, -q - 2*q + b = h for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 39 and 4272?\nAnswer: 166608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 370 = q. Calculate the remainder when q is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8 + 9 + -28 + 19\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/11? (a) -5 (b) -1\/3537 (c) -0.3 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*v - 116*v + 75*v.\nAnswer: 9*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-374)\/51 - -7)*5\/((-515)\/(-6))?\nAnswer: -2\/103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 v when two letters picked without replacement from vjaqsamm.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20201 + -21120?\nAnswer: -112021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t - 5 = 2*t - 11, q + 4 = -4*t + 10 + 27 - 8 for q.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a centimeter in micrometers?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - ((-53 - -24) + 11)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-59)\/295*20)\/228.\nAnswer: -1\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 + -3. Let c(u) = 55*u**2 + 7*u + 6. Let r be c(-1). Suppose -3*j + 33 = -g, -4*j - 6*g + r = -4*g. What is the highest common factor of n and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 469155.2 centuries?\nAnswer: 562986240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 651815309 is divided by 870.\nAnswer: 869","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40 + 68 + 3*x**2 + 5*x**2 - 31.\nAnswer: 8*x**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -3*b**2. Let k(o) = -11*o**2 - 4*o. Give k(a(c)).\nAnswer: -99*c**4 + 12*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n\/(n**11*n))*n)\/(n**(-43)\/n) assuming n is positive.\nAnswer: n**57","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 3*m**2 + 5*m**2 - 3*m**2 - 4*m**2. Let x(t) = -t. What is c(x(a))?\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + -4.2. Let x = 3.3 + 0.7. Let v = 7 - x. Which is the closest to r? (a) v (b) 0 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 12*u**2 + 48*u + 48. Let j(f) = f + 1. Suppose 2*d + d - 15 = 0, 3*v + 4*d = 29. Give v*i(a) - 144*j(a).\nAnswer: 36*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c - 18 = -13*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -28672 - -83.\nAnswer: -28589","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6060, 6394, 6736, 7092, 7468, 7870, 8304?\nAnswer: 8776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -3*j**2 - 81*j + 37. Suppose -31 + 118 = -3*v. Let z be n(v). Is z < -137?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 182911 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 31076.61 and -0.05.\nAnswer: -1553.8305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*z + 10 + 62. Let r be (-16)\/z + 12\/54. Calculate the highest common factor of r and 58.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 102744?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/3)\/z**(-5))**(-1\/6)\/((z\/(z*z*z**(-1))*z**(2\/11)\/z)\/(z*(z*z**(2\/9)*z)\/z)**(-12)) assuming z is positive.\nAnswer: z**(-2647\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 4216046, 4216039, 4216034, 4216031, 4216030, 4216031?\n\"Answer: s**2 - 10*s + 4216055","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 4*p = 214, -u = 4*u + 3*p - 1002. List the prime factors of u.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -40 or 0.07?\nAnswer: -40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = z + 2. Suppose z*i = -i + 16. Suppose 34 = n + 4*o, -79*n + 76*n + 54 = 4*o. Solve 0*d - 5*d + 2*g - 15 = 0, 2*d - i*g - n = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -89 (base 14) to base 16\nAnswer: -79","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -8, 5, -4.019?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - i - 5 = 0, 2*y - 3*i - 15 = 7*y. Suppose 3*t - 21 + 6 = y. Suppose -113 = -t*g + 437. List the prime factors of g.\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 38007132 and 644.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.4 - -0.1. Let y = -374\/91 - -20\/13. Let j = y + 104\/35. Which is greater: n or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -26*z + 236. Let b be q(9). Factor -2*y**3 + 42 + 3*y**3 - 166*y**b - 83*y + 206*y**2.\nAnswer: (y - 1)**2*(y + 42)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 12) to base 13\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1357 smaller than -286?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of -k**8\/448 - k**7\/840 + 13*k**6\/480 - k**5\/80 - 7*k**4\/48 + k**3\/3 + 351*k**2 + 4*k. Solve a(x) = 0 for x.\nAnswer: -2, -4\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 26559107*i**2 - 98485225*i.\nAnswer: 53118214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1550435*p**5 + 47*p - 1269 wrt p.\nAnswer: 31008700*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(40) + sqrt(640))\/sqrt(8) + (sqrt(20)\/sqrt(4)*-2)**2 + (sqrt(405)*2*6 + (sqrt(405) - 1*sqrt(405)) + 3)**2.\nAnswer: 653*sqrt(5) + 58349","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 79683.861 less than -3?\nAnswer: -79686.861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-61*r - 77*r - 126*r)*(0 + 4 - 10) + 4*r - 3*r + 0*r + r + 2*r - 2*r.\nAnswer: 1586*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -7*m. Suppose -385*z + 391*z = 372. Suppose -q - q + z = m. What is the lowest common multiple of q and 6?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 3, u: 2, s: 4, l: 8}. Give prob of sequence kslk.\nAnswer: 2\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 52*h**3 - 947424*h**2 + 7283600*h + 21854400 = 0.\nAnswer: -30\/13, 10, 18212","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 - 14. Put w, 0.2, -1\/4 in ascending order.\nAnswer: w, -1\/4, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.5 bigger than -120?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -136571 + -2780\nAnswer: -139351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/266 + (-91)\/(-1729)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 100 = 4*i. Let r(t) = -5 + 2*t**3 - 2*t**3 - 8*t - 4*t**3 + 3*t**3 - 6*t**2. Let f be r(-5). Calculate the greatest common factor of f and i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -5810*b - 204084. Give h(-35).\nAnswer: -734","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -7*h**3 + 4*h**2 + 5*h - 5. Suppose -3*p + u - 13 = 0, -4*p - 15 = 2*u + 9. Let m(k) = -22*k**3 + 12*k**2 + 16*k - 16. Calculate p*m(o) + 16*v(o).\nAnswer: -2*o**3 + 4*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.9 + -6.9. Let a = j + 5.999952. What is a rounded to 5 dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 175788593 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 56d6c9 (base 14) to base 6\nAnswer: 143212053","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.5, -1626\/7, -1\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25472.\nAnswer: 2, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0 (b) 0.4 (c) -2 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13834 is divided by 4151.\nAnswer: 1381","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 1190 = -1194. Let o(f) = f + 6. Let q(z) = -4*z - 24. Determine w*q(c) - 9*o(c).\nAnswer: -c - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u + 81 = 80*u + 851 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -2\/13, 0, 6, 5?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 - 7*d**2 - 665*d - 5396. Determine k(-8).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 2*h - 5. Let x(d) = -d + 4. Determine -3*b(c) - 4*x(c).\nAnswer: -2*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -0.431 * 82\nAnswer: -35.342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -623*x**2 - 5. Let y(t) = 619*t**2 + 6. What is 6*u(b) + 5*y(b)?\nAnswer: -643*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 6 + 2 + 1 + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 3*w**2 + 110*w + 253. Give j(-34).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -98*z**5 - 350*z**4 - 372*z**3 - 136*z**2 - 16*z = 0.\nAnswer: -2, -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 13b314 - -5?\nAnswer: 13b319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -53*z + 400*z - 1035. Let x(f) be the second derivative of 0 + 0*f**2 - f - 1\/8*f**4 - 1\/4*f**z. Let x(a) = 0. What is a?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**0*j**(-3\/8)*j)**(3\/19))**(-27))**(-20) assuming j is positive.\nAnswer: j**(2025\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1842*z**2 - 44*z**3 + 1842*z**2.\nAnswer: -44*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 - (-5994)\/(-12))*(-12)\/9 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 5.1\nAnswer: -2.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/2*(-209 - 5) - -1. Let z = 606 + -336. What is the highest common divisor of z and r?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 96*x**4 - 377*x**4 - 10*x**4 + (-x + 6*x + 3*x)*(x + 3*x**3 - x)*(-2 - 4 + 3).\nAnswer: -363*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -33.72 times -28732?\nAnswer: 968843.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 65 + -26739?\nAnswer: -26684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -65*i + 19 - 13*i**2 + 79*i + 23 - 55 - i**3. What is c(-14)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*-21.47.\nAnswer: 64.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*r**4 - 2*r**3*t**2 - 2*r**2*t - 2*r*t**2 - 2*r*t + 60*r wrt r?\nAnswer: 84*r**2 - 12*r*t**2 - 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1\/23 - -43\/69. What is the closest to 2\/3 in k, -5, -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-27)\/(-6))\/(-9)*-38 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 201 divide 693340511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 856 a factor of 50351632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of -f**5\/20 + f**4\/12 + f**3\/2 + f**2\/2 + 2*f. Let q be ((-6)\/(-4))\/((-36)\/48). What is the units digit of u(q)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40, 0, 73 in descending order.\nAnswer: 73, 0, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.2 + 0.3. Suppose 0*i - 400 = 4*i. Let l be (-6)\/(-5)*i\/30. Which is the closest to y? (a) -3 (b) l (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 17\/2 of a kilogram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 641165564?\nAnswer: 2, 13, 19, 648953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u - 1. Let w be h(14). Let o = -79 + w. Let l = o - -173. What is l rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35 - 44 + 30)*(-59*i**3 - 25*i**3 + 3*i**3)*(2 + 3 - 3).\nAnswer: -3402*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48\/220*55\/22.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -11 - -9. Let p be (-64 + 2)\/(1 + t). Suppose r = -5*d + d - 2, 5*r - 4*d = p. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -502, 9, 4627, 0 in descending order.\nAnswer: 4627, 9, 0, -502","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1160.98 - 1155.98. Let c be (-4)\/(-6) - (-8)\/(-6). What is the closest to r in 0, 0.03, -0.3, c?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.02401328382 to 6 decimal places.\nAnswer: -0.024013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2433.\nAnswer: 3, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 267.6523 centuries to years.\nAnswer: 26765.23","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of 2*b**5\/35 - b**4\/14 - 2*b**3\/21 + b**2\/7 + 6. Find l, given that h(l) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-3*sqrt(112))**2 - -4*(sqrt(112) + 1)) + (5*(sqrt(112) + sqrt(112) + -1 + sqrt(112))*-2)**2*6.\nAnswer: -14384*sqrt(7) + 606414","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -18 times -7975420\nAnswer: 143557560","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(-4)*n)**(14\/9)\/(n**15\/(n*n**6)))**(-1\/63) assuming n is positive.\nAnswer: n**(100\/567)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -27035 from 55698706.\nAnswer: 55725741","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 258 divide 39864018?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 58 - -157. Let d = q - 214.571. What is d rounded to one dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 193184491.\nAnswer: 227, 851033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 - 4*z**2 + 24*z. What is x(-7)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1424 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -37 - -25. Let b be h\/(-4) - -3 - 2. What is the second derivative of 39*n - n**4 - 11*n**b - 41*n wrt n?\nAnswer: -144*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11010101111 (base 2) to base 15\nAnswer: 791","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 x, and 1 n when three letters picked without replacement from {f: 1, p: 1, k: 1, x: 1, l: 2, n: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 442 - 447 - (-105 + (5 - 0) + -3 + -3)?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*f + 2*f**2 + 32*f + 9*f - 87.\nAnswer: 2*f**2 + 70*f - 87","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 32075000 to the nearest 100000.\nAnswer: 32100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 14557597 less than -974?\nAnswer: -14558571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in thirty-one halves of a hour?\nAnswer: 930","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 9.2419 nanograms?\nAnswer: 0.0000000092419","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-2)*(13\/(-10))\/(-13).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 52\/9 + 6\/27. Let l be (-15)\/u*82\/(-10). Let k = l + -20. Sort k, 5, 4 in decreasing order.\nAnswer: 5, 4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3\/4, -2, -11, -4, 2\/95, -5?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 508*l + 243*l = 7510 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -41550 - -41631.449. What is b rounded to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1030 is divided by 843?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -64 + -6 + (-106 - -171)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1923*n - 49550 = 932*n for n.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from juujjmmu. Give prob of sequence jum.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-35)\/((-2205)\/(-108))*7\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 368*d**2 + 44841670 - 44841670.\nAnswer: 368*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**4\/6 + 2335*a**3\/3 + 6592357*a**2\/6 + 443701370*a + 54162540726.\nAnswer: (a + 277)**2*(a + 2058)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 421039?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*p - 46 = -40*p - 446 for p.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, 1\/8, 10.\nAnswer: -1\/4, 1\/8, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4741 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -139 plus -3434358094?\nAnswer: -3434358233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 94 + -81. Does 13 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.069 and 0.179?\nAnswer: 0.012351","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1200, -1199, -1198, -1197, -1196?\nAnswer: -1195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - 0. Let h be (j - 1 - 1)\/(-3). Let o(v) = 27*v**3 + v**2 - v. What is the units digit of o(h)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.9 + 0.3. Let s = -0.2 + k. Let y = 1.5 - 2.5. Is y equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (81522\/(-252))\/(215\/10) + 4\/86.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -44*w**3 - 22 - 31*w - 39*w**3 + 30*w + 18 to the form l*w**2 + g + n*w**3 + d*w and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 0*j**3 - j**3 - 5*j**2 + 3*j**3. Let g(s) be the third derivative of -s**6\/60 + s**5\/10 - 5*s**2. Determine -5*g(u) - 6*r(u).\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (79 - 83 - (14 + -1)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1532*o + 118400 = 1668*o for o.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 478250185 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 - 0\/(-1*3). Suppose -20 = -i*u - 0*t + 2*t, -5*u + 95 = 4*t. Suppose -3 = -2*x + 3. Solve 2*m + 5*k = u, m - x*m - 15 = -k for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, n: 1, l: 1, x: 1, c: 2, r: 1}. What is prob of picking 1 n, 1 r, and 1 c?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3360 + s + 46*s**3 - 9*s**3 - 3330 wrt s?\nAnswer: 222*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (23\/(-966)*-8)\/((-2)\/6)?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 4*z + 6. Let u = 667 + -593. Suppose 73*s - 3 = u*s. Calculate g(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7276?\nAnswer: 2, 17, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 8. Let w(y) = -y**2 + 5*y. Let b be w(q). Suppose -2*h - 3*s + 39 = -b*h, -2*s + 2 = 0. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/12)\/((-7)\/28).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 211064.\nAnswer: 2, 7, 3769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -2*c**2 - 32*c - 28. What is h(-8)?\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f**2 - 2*f + 1. Suppose -2*b - 2*b + 13 = 5*d, 13 = 5*b + 3*d. List the prime factors of u(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, t: 6, i: 4, d: 2}. What is prob of picking 3 t and 1 d?\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1192 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + -2194a405?\nAnswer: -2194a404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 0 (c) -2 (d) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 3 + 3)*(79 - 79 - 5*p)*(p + 0*p - 6*p**3 + 4*p**3) in the form a*p**3 + g*p**4 + n*p**2 + i*p + l and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2834115866.\nAnswer: 2, 17, 83356349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -81774090, -81774091, -81774092, -81774093?\n\"Answer: -t - 81774089","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -8*p**5\/7 - 1032*p**4 + 8378*p**3 + 312048*p**2\/7 + 442962*p\/7 + 196776\/7 = 0.\nAnswer: -911, -3\/2, -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 3*f - 15 = -3*a, -2*a = -2*f - 10. Suppose 56 = y - a*y. What is the highest common factor of y and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6\/6 + -29*4\/(-24). Which is smaller: w or 6?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 3, o: 5, w: 1, x: 7}. What is prob of sequence jj?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8834, 67295, 223376, 525059, 1020326?\nAnswer: 1757159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -26641*n - 792. Let l(t) = -6660*t - 216. What is 6*g(b) - 22*l(b)?\nAnswer: -13326*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(891) - (1 + sqrt(891)) - sqrt(891))**2 + 2 + -1*sqrt(891).\nAnswer: -1782 - 45*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-3)\/(2\/778*(157 + -158)) is divided by 148?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + o = 12. Solve o*u + 5*k = 4*u + 4, -u + 5*k = 7 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 75 and 267?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -12*w + 29. Calculate a(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-2)\/(s*s**(-26)*s*s))**30 assuming s is positive.\nAnswer: s**630","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3996 = -133*m - 13826. Which is smaller: -6 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 2 - 3 - 3 + 5 + (0 + 1 + 0)*(1 - 2 - 3) + 5 - 1 + 1)*(-2*p**4 + 5*p**4 - 4*p**4).\nAnswer: -p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v + 2 - 20 - 38 + 133 + 23.\nAnswer: -2*v + 100","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12 is divided by (-8)\/68 - 1548\/(-153).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -75, -799, -2817, -6777, -13327, -23115, -36789?\n\"Answer: -108*s**3 + s**2 + 29*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6882290 to the nearest integer?\nAnswer: 2623","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 774 = 78. Which is smaller: w or -427?\nAnswer: -427","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28 + 30. Let w(k) = -k**3 + 3*k**2 + 4*k + 1. Let f be w(4). Which is the nearest to p? (a) f (b) 0.2 (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 193861.\nAnswer: 193861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l - 4*a = -41, -138*a - 130 = -151*a for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the first derivative of -p**4\/4 - 14*p**3\/3 + 7*p**2 - 12*p + 5. Let n be u(-15). Suppose 0 = -6*x + n*x. Which is smaller: -2 or x?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16162 - 16163. Which is the nearest to 0.07? (a) 0.18 (b) 5 (c) 1 (d) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-441)\/15 + 4\/10. Let y = 53 + w. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.893328215 to five decimal places.\nAnswer: -0.89333","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34 - 30. Let i(r) be the third derivative of 0*r - 1\/24*r**n - 1\/6*r**3 + r**2 + 0. Let m(b) = -7*b - 4. What is 6*i(s) - m(s)?\nAnswer: s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 18*l**2 - 25*l - 5. Give w(6).\nAnswer: 493","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, c: 3, j: 1, b: 3, y: 1}. What is prob of sequence bcct?\nAnswer: 3\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 111009885055 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, h: 1, z: 1, v: 1, j: 1, m: 1}. What is prob of sequence mz?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5361 - 5360. Let m = 115 - 80. Suppose -5*g - 3*b = -15, -3*g + b = 2*g - m. What is the greatest common divisor of a and g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 - 4*w**2 + 4*w - 14. Let y be f(6). Let x = -244\/3 + y. Factor -2\/3*j**2 + 0*j**3 + x*j**4 + 0*j + 0.\nAnswer: 2*j**2*(j - 1)*(j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 2 q when four letters picked without replacement from qqbqbqqbqqqqqbqqbqq?\nAnswer: 455\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -11*d - 2*d**2 - 3*d**2 + 4*d**2 + 1 + 2*d**2. Let m be o(11). Solve 4 = b - m for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 681872?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 82883 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 d when three letters picked without replacement from {f: 2, d: 2, q: 3, p: 5, u: 3}?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, h: 5, l: 2}. What is prob of sequence hyll?\nAnswer: 5\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18 and 17554392?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(180) - (sqrt(180) + sqrt(180)*2)) - (-1 + sqrt(180) + 0))**2 - (sqrt(180)*3)\/(sqrt(36)\/(sqrt(36) - sqrt(9))).\nAnswer: 51*sqrt(5) + 4501","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -90 + 89.5. Put -1\/5, b, -0.3, -5\/2 in decreasing order.\nAnswer: -1\/5, -0.3, b, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1357?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7387 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 - (-36)\/8 - 1\/2. List the prime factors of 5*y*-532*(-8)\/80.\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-233)\/(30057\/13932) + 45.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = -y - 2. Let l = -354 + 640. Suppose -l + 110 = -k. Calculate the remainder when k is divided by y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 7, 9, 13, 19?\n\"Answer: c**2 - c + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.173? (a) 69332 (b) -4 (c) 1\/5 (d) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(2\/7))**30\/((s**(9\/4)*s)\/s**(-2\/27)) assuming s is positive.\nAnswer: s**(13687\/756)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3200\/9? (a) -0.5 (b) 2 (c) 1 (d) 2607\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 806189527 a multiple of 143?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-144)\/32*4\/(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 55 - (-250087)\/(-4794)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, -16, 724 in ascending order.\nAnswer: -16, -2, 5, 724","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 125 - (-1 - 4 - -5). Suppose -3*b - v = -q, 5*b = -q + 101 + 16. Is q a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 d when two letters picked without replacement from mdddddddlmmmm.\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5267205743 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000031936126 rounded to 5 decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 25446*h. Let o(u) = -4*u**2 - 2*u. Calculate o(w(m)).\nAnswer: -2589995664*m**2 - 50892*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 8:38 PM?\nAnswer: 12:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 243 and 22167828?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -9001*c - 8263. Let n(g) = 8995*g + 8266. Let i(k) = 6*n(k) + 5*r(k). What is the first derivative of i(q) wrt q?\nAnswer: 8965","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*w + 12911 - 12171 = 27*w for w.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 9 + 4)*(2 - 2 - 2*f)*(-223*f - 265*f + 407*f).\nAnswer: -1620*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0961319 less than -5483?\nAnswer: -5482.9038681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -3*t**2 + 65*t - 38. Give a(24).\nAnswer: -206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 41571?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*d = -95*d - 1890 for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 203039.\nAnswer: 203039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 8 and 40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 341870 a multiple of 170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**2 - 67*h + 536. What is l(58)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s + 3*r + r + 18, -2 = -s - 4*r. Let m(j) = -7*j**3 + j**3 + 4 - s + 2*j**3. Let t(n) = 11*n**3 + 17. Give 17*m(h) + 6*t(h).\nAnswer: -2*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.06 + -0.06. Let n = -1 - h. Let g = -1 - n. Put -5, 0.4, g in decreasing order.\nAnswer: g, 0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a\/(a\/a**(3\/5)))\/a*a**(-4\/3))**(1\/77))**15 assuming a is positive.\nAnswer: a**(-1\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/(-12) + ((-12)\/(-4))\/12?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-100)\/(-36))\/(-25)*-18?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2. Suppose -31*s = 29 + 157. Let a(i) = 14*i**2 - 4 - 3 - 4. Let h(t) = -7*t**2 + 6. Let j(q) = s*a(q) - 11*h(q). Determine j(u(c)).\nAnswer: -7*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*u + 43 - 43. Sort -5, u, -1\/2, -16 in descending order.\nAnswer: u, -1\/2, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -313*l + 966*l - 270*l - 273*l.\nAnswer: 110*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 56, -5, 14, 1.\nAnswer: -5, 1, 14, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -5*g - 5, -5*a - 4*g = 20 + 17. Let l be (-30)\/a + 0 + 0. Let h(m) = m**2 + 6*m - 19. What are the prime factors of h(l)?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -11*g**2 + 42*g + 3. Let f be u(2). Suppose 0 = 5*d - 10*d - 155. Let l = d + f. Solve c - 4*j = 5*c - l, -5*j = -c - 3 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 47, 122, 245, 416, 635, 902?\n\"Answer: 24*k**2 + 3*k + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3427 and 227562.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 371, 429, 497, 581, 687, 821, 989, 1197?\nAnswer: 1451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (62 - 2 - (98 + -72)) + 11?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -971844*j**2 + 42*j - 25217 wrt j?\nAnswer: -1943688","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 333 is divided by -18 + 1 + 9 - -122?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 990816 and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + 264\/28 + (-3)\/7. What is the greatest common factor of 9 and u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*54\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 5\/(-25) + (-8811)\/495\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*i - 80 = -37*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 59490 divided by 3\nAnswer: 19830","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*d - 435*d - 77*d - 166*d - 5*d**2 + 4*d**2 to p*d + s*d**2 + g and give p.\nAnswer: -681","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - 5. Let s be ((-2)\/4)\/((-2)\/m). Which is the closest to 2\/7? (a) s (b) -0.4 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12055 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 28 - 25. Solve k*m - 10 = 5 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -35 + 50 + 50 + -1 + -16 + -9\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -105*g**2 + 759*g. Let c(s) = -s**3 - 316*s**2 + 2278*s. Let l(v) = -3*c(v) + 8*x(v). Find the second derivative of l(k) wrt k.\nAnswer: 18*k + 216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 4*f - 4 = 0. Let q(o) = -37*o + 1. Let n be q(f). Let h = n - 25. Does 13 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-5 + sqrt(300) + 1 + sqrt(147)).\nAnswer: -24 + 102*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -69905.47923 to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*c - 1 - 5 = 25*c, 0 = -5*p + 6*c - 28 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hxhhoxhxhxhxjxxxx. Give prob of sequence xh.\nAnswer: 27\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -d, 3*d + 2*g = d. Suppose 3*x + 5 = 2*x. Sort x, d, -2.\nAnswer: x, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**3\/(i*i*i\/(i*i\/(i*((i*((i**5\/i)\/i)\/i*i)\/i)\/i)))*(i*i**(1\/4)*i)**33)\/((i*(i**1\/i)\/i*i)**(-1\/4))**(-44) assuming i is positive.\nAnswer: i**(249\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -43595 at most as big as -43596?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 119498 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 3*t. Let b be f(5). What is the units digit of ((-10)\/b)\/((-2)\/15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -20, -1\/4, 0.01, 0.1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -90 + (217 - (219 + -122))\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-20)\/(-25) + 42*(-3)\/(-30). Suppose 5*n - 40 = -z*b, 5*n - 12 = -3*b + 4. What is the greatest common divisor of b and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4512530511 - -1?\nAnswer: 4512530512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 5*p - 28 = -8, 5*o - 4*p = 16. Suppose -2 = 2*i - o, w + 1624010 = 3*i. Let v = 374013 + w. Round v to the nearest one hundred thousand.\nAnswer: -1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 188731535?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/10645 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-124) - (-42120)\/3224.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 406?\nAnswer: 2, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15922204*b**2*y + 478920*b*y - 5*b wrt b?\nAnswer: 31844408*y","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: -30157+20044.4\nAnswer: -10112.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 - 3*v - 6. Determine x(6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, -6 in descending order.\nAnswer: 5, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 16989 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (25 - (-3 - (-1 + -12 + 15))) + (12 - 5).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*v + 24111 = -1014*v for v.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 39, 3118 in decreasing order.\nAnswer: 3118, 39, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/24*4*9\/6?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -16, -0.2, 5, 15\/71, -2, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 42636, 42631, 42626?\n\"Answer: -5*z + 42641","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyeyoooyyeyeo. What is prob of picking 1 y and 3 e?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -602 + 1832. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*t**3 - 45167*t + 45167*t.\nAnswer: -14*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wysooooooyxy. Give prob of picking 2 y and 1 x.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/9)\/(117*100\/2474550).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 72664?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 5407*o**2 - 4*o + 4. Let w(q) = 2704*q**2 - 2*q + 2. Give -3*g(l) + 5*w(l).\nAnswer: -2701*l**2 + 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 906 divided by -1.\nAnswer: -906","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 11:04 PM?\nAnswer: 8:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 13*g**3 - 22*g + 29. Let w(p) = 38*p**3 - 59*p + 80. Let v(c) = -4*w(c) + 11*z(c). Let o(q) = 6*q**3 + 4*q + 1. Determine -7*o(m) - 5*v(m).\nAnswer: 3*m**3 + 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -5*f + 9. Suppose 0*l - 5*y - f = -2*l, -3*y + 3 = 3*l. List the prime factors of 5 - ((-2 - l) + 2).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 90 divide 391500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -19*o**4 + 408*o**3 - 31*o**2 + 1336658?\nAnswer: -76*o**3 + 1224*o**2 - 62*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53073539 is divided by 79?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + -3 - 0) + 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 26 = 16*c. Let y be (-4 - (-12)\/2)*c\/2. Solve 3*z = -y*p - 2, 0*z + p = 4*z - 12 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uliiillcceieecuc. Give prob of picking 1 u and 3 c.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 3*f + 2. Let y(g) = 7*g + 4. Let d(n) = 5*h(n) - 3*y(n). Let k be d(-1). Solve -k*v = 20, -2*a + 5*a - 11 = v for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -47610*-0.3\nAnswer: 14283","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25 - 6. Let g(j) = 669*j - 63. Let w be g(2). Suppose 4*t = p*t - w. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1194.9 + -1193.7. Let y(z) = -z**2 + 5*z - 3. Let n be y(3). What is the nearest to 2 in n, d, -2\/3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 129*p - 1059. What is r(8)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -1306*r**2 - 8*r - 28. Let c(s) = 1918514*s**2 + 11754*s + 41139. Calculate 4*c(q) + 5877*j(q).\nAnswer: -1306*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zk when two letters picked without replacement from {z: 3, k: 17}?\nAnswer: 51\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 5, -5, -23\/16, -22852?\nAnswer: -23\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of -l**5\/5 + 53*l**4\/2 - 39*l**2 - 123. Find the second derivative of o(d) wrt d.\nAnswer: -12*d**2 + 636*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**7)**21\/((q\/q**(6\/11))\/q*q*q*q\/((q*q**(-2))\/q)))**(2\/61) assuming q is positive.\nAnswer: q**(-2870\/671)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 != -3968419?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1374 is divided by 923.\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3)\/(21\/2) - 25051\/(-287). Solve -h*q - 9 = -84*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 AM and 5:57 AM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 598305*m**4 - 64*m - 490 wrt m?\nAnswer: 7179660*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0995241651 rounded to 4 dps?\nAnswer: -0.0995","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 38.2 and -5.\nAnswer: -191","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 4 + 1)*(-5*p**2 + 5*p**2 + 3*p**2) + (5*p - 2*p - 6*p)*(2*p + 2*p - 3*p) - 7*p + 7*p + p**2 in the form q*p**2 + y*p + s and give q.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -3595*o + 193. Let j(w) = 10785*w - 572. Let r(m) = -8*b(m) - 3*j(m). What is the derivative of r(n) wrt n?\nAnswer: -3595","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/17 in -2, 1, 148675, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-1)*l*l**5)\/(l*l**0*l)**(-10)*l**(1\/12)\/(l\/(l**(-1\/4)*l)*l*l*l)*(l**1)**11 assuming l is positive.\nAnswer: l**(203\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -368 + 5522\/15. Which is the smallest value? (a) 0.5 (b) p (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5780 or 1797670\/311?\nAnswer: 5780","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -6. Suppose -4*s - p*b = -45, b + 7 - 2 = 2*s. Suppose -s*o = -o - 80. Is 13 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 1:16 PM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 21\/(-3)*(3 + 4). Sort 0, d, -3 in decreasing order.\nAnswer: 0, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 - 5*s**2 - 3*s. Suppose -4*m + 9 = 3*y, 0*y = -3*m + 2*y + 11. Suppose 0*a = -m*a - 9. Let u be x(a). Is -10 at most as big as u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a gram in milligrams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -1231800 to the nearest one hundred thousand.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/(-9) - 68\/(-6). Let c = 17 - d. Is 5 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -10 and -0.3739.\nAnswer: 3.739","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 147, 1153, 3873, 9165, 17887?\nAnswer: 30897","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6941, -4, -2 in decreasing order.\nAnswer: 6941, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2400?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-3))\/((-154)\/(-693)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the second derivative of -f**7\/2 + f**5\/10 + 31*f**4\/12 + f**3\/6 + 141*f. What is the third derivative of q(g) wrt g?\nAnswer: -1260*g**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -336 = 15*f - 63*f for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -115.\nAnswer: -2\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of -7*g**3\/6 + g**2 + 2*g. Let p be 1*-16 + 188 + -169. Calculate l(p).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -5*m**3 + 5*m**2 - 10*m - 6. Let b(l) = 5*l**3 - 4*l**2 + 11*l + 5. Let t(r) = 6*b(r) + 5*o(r). What is the third derivative of t(q) wrt q?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 3*g**2. Let v(q) = -q**3 - 14*q**2 - 2. Let b be v(-14). Let y = b - -9. Let m(j) = 4*j - 3*j - y*j**2 - j. What is m(z(l))?\nAnswer: -63*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40 and 2930.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (1 - 3) + (-18 - -18).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-3 + -3 + sqrt(1377) - ((sqrt(1377) - ((sqrt(1377) + -1 - sqrt(1377))**2 + sqrt(1377))) + sqrt(1377))*-5) + -4.\nAnswer: -18 + 54*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 6*u = 11*u - 83, 5*n = -4*u + 80 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n - n + n + (1 + 2 - 4)*(-n + n - 2*n))*(4 - 5 - 3)*(-5 - 9*n + 5).\nAnswer: 108*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/6))**(2\/67)*g**(-35)\/g**(-38) assuming g is positive.\nAnswer: g**(604\/201)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -37 >= 54.1444?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141569 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 247 and 32?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 0, 2960, 1, -1, 6 in descending order.\nAnswer: 2960, 6, 1, 0, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00030302 to 5 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000003953 to 6 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 113895?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 105.890477 rounded to 2 dps?\nAnswer: 105.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*p - 2*p - 5*p)*(1 + 0 + 1)*(-4 + 0 + 3)*(3 - 1 - 1).\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.678, -1, -15, -2\/7 in descending order.\nAnswer: -2\/7, -1, -1.678, -15","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 21. What is the remainder when 58 is divided by x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/4 (b) 6 (c) 1 (d) 0 (e) 0.05 (f) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/((-6)\/(-27)*-3). Suppose -2*k = -d*k. Suppose k = -2*x - 3*n + 5, -2*x + 0*n - n + 7 = 0. Does 4 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5 + (-6 - -5 - -31). Let v(m) = m + 37. Let l be v(0). Suppose 3*w - l - h = 0. Calculate the remainder when w is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29642*l - 25103*l - 42491*l - 12 + 12.\nAnswer: -97236*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -1. Let m(t) = t**2 - 8*t + 9. Let x(j) = m(j) + 6*v(j). Let q be x(8). Solve 0 = a - q*g + 10, 0*g - g - 2 = -3*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 3*b + 27, -20 = -3*f - 3*b + 19. Let l = -2 + f. Let r(d) = 10*d**2 - 1. What is the lowest common multiple of r(1) and l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 13 + -22. Let d = 8 + l. Sort d, 1, 4 in descending order.\nAnswer: 4, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -18 - 0 - 6510\/(-217)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -44099 - -44102. Suppose -2*y - 3*y = -3*b - 42, -4*y - 4*b = -8. Suppose d + d = y. Calculate the remainder when f is divided by d.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -3, -40, -5, 4.\nAnswer: -40, -5, -3, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of -1\/12*c**4 - 3 + 7\/2*c**2 + 0*c**3 - 5*c. Let y(l) be the first derivative of o(l). Find the first derivative of y(v) wrt v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 45.9 + -46. What is the fourth biggest value in 4\/7, 2, 5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zm when two letters picked without replacement from tttmmmmmmmdttmzbt?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 90 - c475?\nAnswer: -c3d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(308) + sqrt(308)*3)\/sqrt(11)*3)\/(1*sqrt(16)*3))**2.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 - -11) + -29 + (-22 - -1).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9643 - 126.9.\nAnswer: 9516.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6bd - 7b?\nAnswer: -75a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121033 (base 4) to base 12.\nAnswer: -b27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -333, -12, -1.6, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 752 and 1222?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.1 - -2.098752. What is l rounded to 4 dps?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 262523 = 515*t - 4023822. Solve -8328*d + t*d + 10 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 + 9*i - 1820. Is x(61) a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 47 or -3342?\nAnswer: 47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - p + 13 = -4, 0 = -o - 3*p + 1 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24 - 17. Suppose 3*g + 2076 = h*g. Does 17 divide g\/9 + (-1)\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0*(((-2)\/(6\/(-3)))\/(-1))\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z**4\/4 + 4*z**3 + 93*z**2\/4 + 115*z\/2 + 50 = 0. Calculate z.\nAnswer: -5, -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z - z**2 + 0*z + z)*(12 + 5 + 0).\nAnswer: -17*z**2 + 68*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*d**4 + 0*d**4 + 11*d**4 + (-d + 2*d - 2*d)*(-1 - 2*d**3 + 1).\nAnswer: 11*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -2*j**2 - 32*j + 2. Let n be f(-16). Suppose -k + 2 = 0, -n*c + 3*k - 11 = -3*c. Solve -3*y + x - 5*x = -1, -c*y - x - 21 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14 - -17. Suppose 5*b = c - 29, 0 = d*b + 20 - 5. Suppose 0 = c*k - 0*k - 1412. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84850210.\nAnswer: 2, 5, 8485021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35\/3676 and -91\/20?\nAnswer: 18380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/15 - (-1593)\/295?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -301 - 63?\nAnswer: -364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + 25, 3*s - 16 = -3*o + 5*o. Suppose 0 = 4*r + 4, -5*u - 2*r = 3*r. What is the second derivative of 2*j**s + 2*j**2 - 1 - 7*j + u wrt j?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 62\/(-6) - (-133)\/57\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, i: 2, l: 2}. Give prob of picking 1 l and 1 q.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5 + 8)\/(-2 + 3). Suppose -5*g = 5*r - 15, 0*g = 4*g + 3*r - 16. Let z be (g - 5)\/(2 + -1). Solve z*p = 5*p - y for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 - 7*j + 7. Let l be 4\/26 + (-160)\/26. What are the prime factors of c(l)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8 + -1d94d?\nAnswer: -1d945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6 and -3944?\nAnswer: -23664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 78592 to the power of 1\/2, to the nearest integer?\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.33 - -74.67. Let l = j - 79. Let d = -0.06 - -0.03. Put l, d, 4 in decreasing order.\nAnswer: 4, d, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 6*f + 1033 = -f, -5*f = -3*k + 1612. Suppose v - 3*a = 378, -3*v - 2*a + 649 + k = 0. Does 26 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*y = 3486 - 2296 for y.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4.5, 1, -2\/11, 4\/5, -62, -5 in increasing order.\nAnswer: -62, -5, -2\/11, 4\/5, 1, 4.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 - 112*w - 46145. Calculate p(278).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 11\/2 of a tonne?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 - 7*x**2. Let v be g(-7). Let z = -1\/97 - 175\/1843. Is v greater than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47069417 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2537 + -980?\nAnswer: -3517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34290922, 34290925, 34290928, 34290931, 34290934?\nAnswer: 34290937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 19*r**4 - 32*r**3 - 65*r**2 + 14*r + 2?\nAnswer: 456*r - 192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 242169645 by 69.\nAnswer: 3509705","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the second derivative of -11*v**3\/3 - 15*v**2\/2 - 24*v. Is q(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of -m**4\/24 + m**2. Let s(d) be the third derivative of -d**5\/12 + 52*d**2. What is s(h(o))?\nAnswer: -5*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5200 and 352?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b**2 + 21*b**2 - 4*b**2 to l*b**2 + o + m*b and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -196844, -787388, -1771628, -3149564, -4921196?\nAnswer: -7086524","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7\/10, 0.24, -2, 0.5, -5 in increasing order.\nAnswer: -5, -2, 0.24, 0.5, 7\/10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*l + 348208 = 8*q + 30*l, 0 = -4*q - 5*l + 174116. What is the hundreds digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -5. Let w be d - (-3 - (-15)\/21). Let l = 26 + -13. Which is smaller: w or l?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (129*l**2 - 129*l**2 + 28*l**3)*(4 - 2 - 1)*(1 - 5 - 8)*(-4 - 2*l + 4) to the form n*l**2 + b*l + q*l**3 + a*l**4 + w and give a.\nAnswer: 672","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 152\/48 - 7\/42. Solve 2*k + 0*d = -o*d - 5, 0 = -2*d + 2 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 41 + -27. Let t be (2*3)\/(q\/(-7)). Let b = 5 - t. Calculate the least common multiple of 18 and b.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001437 rounded to six decimal places?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-14)*147\/(-84)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -7157120 not equal to -7157118?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -77 - -82. Suppose -o*q - 25 = -50. Solve -2*a = -0*a + 3*w + q, 2*a - 5*w - 19 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/7 or 0.024509?\nAnswer: 0.024509","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03348 to 2 decimal places.\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 75 divided by -426\nAnswer: -25\/142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-5 - -4)*77\/(-66). What is the thousands digit of -5*(-1617)\/v - -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 189.3038kg in nanograms?\nAnswer: 189303800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.1 - -0.2. Let n = -1.7 + 2.7. Let h = 158\/25 + -1788\/275. What is the third smallest value in h, 0, n, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-5)\/w**(-1))\/(w**(-6)*w*w*w**(2\/3)))\/(((w\/w**6)\/(w*w\/w**(-6)*w))\/(w**(-3\/4)\/w*w**(4\/3))) assuming w is positive.\nAnswer: w**(155\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*j + 3*j - 2*j)*(-166 + 166 + 80*j**2)*(-j - 5*j + 2*j) to the form l*j + h*j**4 + w*j**3 + q + t*j**2 and give h.\nAnswer: -320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, f: 3, h: 1}. Give prob of picking 1 d and 2 f.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -3*-189511\nAnswer: 568533","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - -2) + 1 + -9.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2031 - 1438. Let g = 593.1 - s. What is the closest to g in 2\/9, 2, 4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 88 and 1012.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 119149, -4, -3 in increasing order.\nAnswer: -4, -3, 119149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = -6*c + 1. Let u(t) = t**3 + 3*t**2 - 4*t - 2. Let j(s) = -s**2 - s + 2. Let v be j(-3). Let r be u(v). Sort 0, c, r in decreasing order.\nAnswer: 0, r, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008) + 2 + sqrt(1008) - sqrt(1008))**2 + (sqrt(7) - (sqrt(63) + 1)).\nAnswer: 46*sqrt(7) + 1011","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19418 - 17177. What is the remainder when 4482 is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 223 + -61. Let n = 145 - m. What is the closest to 1 in -3, -1\/2, n?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**4\/3 + 34*n**3\/3 - 164*n**2\/3 - 3062*n + 3105 = 0. Calculate n.\nAnswer: -27, -23, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -398482460 to the nearest 1000000.\nAnswer: -398000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.04 - 6.57\nAnswer: -6.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 k when two letters picked without replacement from {f: 2, k: 2, z: 7, o: 2, u: 1, r: 1}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -5*u - 2. Let d be s(-2). What is the least common multiple of (d - 2) + 7 + -7 and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -2\/3069641 and -44\/3?\nAnswer: 9208923","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 + 7*i**2 - 8*i + 10. Determine g(7).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(3) - sqrt(21)\/sqrt(7)) - (sqrt(135)\/sqrt(5) + sqrt(27) - sqrt(3))) + 2)**2 + 2.\nAnswer: -20*sqrt(3) + 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 8803 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (-18)\/3 + 7 - -294 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -41, -3, 1, 7.\nAnswer: -41, -4, -3, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -276 = -3*h - 111*v + 112*v, 5*h - 494 = -4*v. Let o(f) = -22*f**2 - 2. Let k be o(-2). Let u = k + h. Solve -g + 4*n = -19, 0*n - u*n = 5*g + 25 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1818 - 1816. Suppose -4*h - 2 = 2. Let g be 0\/(-2*h\/m). Solve g = -4*r + 2*j + 30, r + 15 = -r - 5*j for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -510533 (base 6) to base 7.\nAnswer: -225501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*23842.\nAnswer: 23842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2)*(43 - 43 + 17*h)*(0*h - 2*h + h) + h**2 + 0*h + 0*h - 3*h**2 + 3*h - 3*h.\nAnswer: 32*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 204306 (base 9) in base 5?\nAnswer: 12340023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 + 22. Find the third derivative of -15*r**3 + 0*r**x + 3*r**2 - r**3 wrt r.\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + (-18)\/(-21))*(58 - 61)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11752137 and 36.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 1.7, 0, -6\/7 in descending order.\nAnswer: 1.7, 0.1, 0, -6\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22446598 divided by 2.\nAnswer: 11223299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*h - 2*h + 4*h)*(-h**4 + 2*h**4 + 0*h**4) + 2*h**5 - 4*h**5 + h**5 + (-91*h**4 + 97*h**4 + 106*h**4)*(-2*h + h - h).\nAnswer: -231*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ccf when three letters picked without replacement from {c: 2, i: 2, f: 4}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**1\/(((z\/(z*z**(2\/7)*z))\/z)\/z)*z**(-1\/6)*z**(-1\/2)*z assuming z is positive.\nAnswer: z**(97\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 22836*10\nAnswer: 228360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/6, -2\/9, 615 in ascending order.\nAnswer: -5\/6, -2\/9, 615","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of 9*i**4\/4 - 7*i**2\/2 + 4. Find the second derivative of z(k) wrt k.\nAnswer: 54*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*p = -0 + 21 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/3 or -4122?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2823*q = -2771*q - 624 for q.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -3\/5, -2, 3\/4, -0.4, 33, -94?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13167020 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-5))**(-15\/7))**(3\/11) assuming v is positive.\nAnswer: v**(225\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**2 + 4*j + 2. Let b(v) = -v**3 + 2*v. Let q be b(2). Let s be p(q). Solve w = s - 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1742660 < 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -133c8 - 2796?\nAnswer: -15b80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together 545668074.8 and -88.\nAnswer: 545667986.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000480784 rounded to 5 decimal places?\nAnswer: -0.00048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 5) + -555 + 557.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 - -5.1. Let u = 535\/6 - 89. Let m = -3\/109004 + -54499\/109004. Which is the nearest to 0? (a) m (b) n (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3672472?\nAnswer: 2, 19, 37, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1176 + 2.0176. What is n rounded to 1 dp?\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -15, -28, -41, -54, -67?\n\"Answer: -13*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 92742?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2380*a + 97590. Determine i(41).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 10*v**3 + 2*v + 1. Let q(f) = 10*f**3 + 3*f + 1. Calculate -3*a(b) + 2*q(b).\nAnswer: -10*b**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 28\/2257 and -69\/370.\nAnswer: 22570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-64)*108 + (-24)\/(-2)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -3*k + 36. Let p be u(10). Solve 4*d - 1 = -h + p*h, -2*h = 3*d + 5 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7858 + 7858 + 214113*d.\nAnswer: 214113*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 324 is divided by 39.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tn when two letters picked without replacement from {e: 3, b: 3, t: 1, n: 3, x: 1}?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3404 and 2220?\nAnswer: 51060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -975*t = -235*t - 47483 + 8263 for t.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, -50, -17 in ascending order.\nAnswer: -50, -17, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(68) + 0 + -4.\nAnswer: -9 + 2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(91)*-1 - 1*sqrt(91)*-5)\/(-6*(sqrt(7) - sqrt(63)*-3)).\nAnswer: -sqrt(13)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 30266, 60544, 90832, 121136, 151462, 181816, 212204?\n\"Answer: a**3 - a**2 + 30274*a - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 7c8 (base 15) to base 14\nAnswer: 8dd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -9*d**2 + 2*d. Let x(v) be the second derivative of -30*v**4 + 27*v**3\/2 - 11*v. Let t(g) = -81*f(g) + 2*x(g). Let p(k) = k. Calculate p(t(m)).\nAnswer: 9*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1671 - 981. Let m = n + -382. Suppose m = -0*w + 4*w. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -473 + 233 - 2*r + 240. Suppose 0 = 5*h - 2*h - 12. Give a(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 33820933, 67641869, 101462805, 135283741, 169104677?\n\"Answer: 33820936*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 - 13*f + 5. Let z(w) = -w**2 - 13*w + 5. Let k(j) = 6*o(j) - 5*z(j). Let s be k(-14). Is 6 a factor of s\/(-18)*7*6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3*(-1 - -3) + -4. Let k(z) = 13*z + 23. Let t be k(r). Is 48 < t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-660)\/550)\/((-342)\/20)?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41, -189, -427, -749, -1149?\nAnswer: -1621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3, 0, -2\/5, 839, 2\/1283?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 426*j**2 + 666*j**2 - 864*j**2 + 733*j**2 + 727*j**2 as v + a*j**2 + k*j and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -495*y**2. Let l(q) = 597*q. Give j(l(f)).\nAnswer: -176422455*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h**2 + 9382*h - 18782. Calculate p(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z = -15746 - 6565. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7906704881 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 95752.51l?\nAnswer: 95752510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17512393 is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -52989944.23 to the nearest one thousand.\nAnswer: -52990000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*v + 25*v - 55*v + 2601*v**2.\nAnswer: 2601*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes after 6:02 AM?\nAnswer: 2:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 110009 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 102 - 97. Let g = -2 - -3. Let f be (-1 - 0) + g - -2. Sort x, f, 1 in descending order.\nAnswer: x, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 86470287 to the nearest integer?\nAnswer: 442","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -111 divided by 847318?\nAnswer: -111\/847318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -7258, -5561, -3864, -2167?\n\"Answer: 1697*m - 8955","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 22 = -5*a - 4*w, 3*w - 18 = -2*a. Solve -3*g = -2*i + 5, -a*g - 26 = 5*i + 14 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 562*w + 3392. Let l be u(-6). Solve 9*q = -11*q - l for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 1 = 4*m - 5, -49 = 5*j - 3*m. Find the common denominator of ((-1)\/(-8))\/(5\/305) and 8\/9*6\/j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -28*y**2 - 2*y + 4. Let a(u) = -10*u**2 - u + 1. Let s(w) = -11*a(w) + 4*b(w). Give s(4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 113*j - 69*j - 44 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 10:26 PM?\nAnswer: 2:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 15\/27764 and 149\/1893000.\nAnswer: 20823000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.53513 at most -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -44265 - 146?\nAnswer: -44444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/(-84))\/((-2)\/(-6)). Sort -3, 3\/2, o, -3\/8 in descending order.\nAnswer: 3\/2, o, -3\/8, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 36.076 + -0.076. Let p = -224 - -181. Let q = z + p. What is the second smallest value in q, 0, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1905*p = 1903*p + 5056. List the prime factors of p.\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2273.\nAnswer: 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14805 < 118429\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66)\/(4*sqrt(44)\/sqrt(4)))\/(-4*(sqrt(108) - sqrt(108)*-2)))**2.\nAnswer: 1\/41472","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.008483318322 - 0.247?\nAnswer: -0.255483318322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 200 is divided by -4*((-31)\/2 - 8)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 212.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 102\/67 or 2?\nAnswer: 102\/67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4919372?\nAnswer: 2, 37, 43, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1372432815?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47740517?\nAnswer: 11, 317, 13691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*(-4)\/(-24)*(-3)\/1*312\/78?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 120\/9 + (-4)\/12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of -191*s**6\/120 - 77*s**3\/3 - 2*s**2 + 26*s. Find the first derivative of g(w) wrt w.\nAnswer: -573*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/4 (b) -0.5 (c) -5 (d) -210.36 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes before 7:11 AM?\nAnswer: 4:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 19 + (-1 + 1 + -2 - (-307 - -305))\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 10 = -5*b. Suppose 0 = 2*o + c - b, -4 + 2 = -2*o + 2*c. Suppose 4*w - 5*r = 42, 0*r + 12 = w - o*r. Solve -24 = -4*q - w for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 155931, 155825, 155719?\nAnswer: 155613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ikia when four letters picked without replacement from axikkixxxiixxx?\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/4 (b) 3789 (c) -1.92\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j**3 + 1575*j**2 - 17502*j + 6. Calculate u(11).\nAnswer: 721","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 54810*m**2 - 44*m + 4. Let u be r(-4). Round u to the nearest one hundred thousand.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7138\/165 - -216\/5. Let o = v - 25\/132. Let g = 154 - 158. Which is the smallest value? (a) -0.6 (b) g (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 754*h**3 - 68*h**2 + 37*h**2 - 753*h**3.\nAnswer: h**3 - 31*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1, 5, 0.22, -0.1 in decreasing order.\nAnswer: 5, 0.22, -0.1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3412, -3416, -3424, -3436, -3452?\n\"Answer: -2*z**2 + 2*z - 3412","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 234*j + 429. Give c(-2).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -56198233, -56198231, -56198229, -56198227, -56198225?\nAnswer: -56198223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 1:45 AM?\nAnswer: 4:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12.4*-0.08.\nAnswer: -0.992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 159211 and 333?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 - -3. Are i and -4 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7204 times 11081?\nAnswer: 79827524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-20)\/10 + 1 + 1. Suppose x = -30*o + 26*o + 16. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3.314158 grams?\nAnswer: 3314.158","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttdtfddfddfttqtfd. Give prob of sequence ttdt.\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -270 (base 8) to base 13\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -80 + 145. Let h = 17 + -28. Let r = h - -28. What is the remainder when c is divided by r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 631 minutes after 3:50 PM?\nAnswer: 2:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 7265789 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of 8597*m**6\/30 + 755*m**4\/6 + m**3\/6 + 7*m - 220. What is the third derivative of k(j) wrt j?\nAnswer: 206328*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 + 6. Suppose -n = -l + 5*l, -q*l = 5*n. Solve 4*y = i + 5, -y = 2*i - n*i + 1 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2579595?\nAnswer: 3, 5, 47, 3659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -16*p**2 + 5*p + 4. Calculate c(-1).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 917 is divided by 46.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -33 - -23. Let a = -6 - c. Let n = a - 4.00142. What is n rounded to 4 dps?\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = w + 478, -4*r = -r - 2*w - 291. Suppose r*f + 105 = 102*f. Calculate the remainder when 27 is divided by f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40, -134, -292, -514, -800?\nAnswer: -1150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2297535986 a multiple of 493?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the first derivative of -7*o**5\/80 + 5*o**4\/16 + o**3 - 7*o**2\/2 - 6*o + 13. Let k(t) be the second derivative of i(t). Factor k(r).\nAnswer: -3*(r - 2)*(7*r + 4)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 - 29 + 62 = 36*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22926672 a multiple of 1971?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 540313 and 218?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 3*v**2 + 184*v - 134. Calculate k(-62).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {r: 3, z: 6, l: 5, b: 1, i: 2, g: 2}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 481173 - -17?\nAnswer: 481201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9 and 53556?\nAnswer: 160668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of -m**3\/6 + 5*m**2\/2 + m. Let k be o(5). Suppose k = -2*j + 2*x + 2, -3*x - 1 = -2*j - 3. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*c + 10*c = 12. Let h = c - -17. Calculate the remainder when h is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 176 (b) -0.17 (c) -1097\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (18\/126)\/((-2)\/7). Suppose 8*s - 3*s - 4*m = -2, -5*s + m = -7. Let y be (-3)\/s*(-10)\/(-6). What is the second biggest value in f, -6, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2839647950 + 0.01.\nAnswer: 2839647950.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -21864086 + 48154086. What is j rounded to the nearest 1000000?\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 1 + sqrt(1573) + (sqrt(13) + 1)*-5 + sqrt(13))**2.\nAnswer: -112*sqrt(13) + 701","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 46.99544um?\nAnswer: 0.004699544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 21 - 370*d - 12.\nAnswer: -370*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 26 = 4*s, -4*v = 2*s - 3*s - 16. Does 6 divide 11\/55 + 94\/v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*a**2 + 400917840*a - 20091889303783200 = 0. Calculate a.\nAnswer: 100229460","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 403074 divided by -49?\nAnswer: -8226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 12*a. Let y(s) = -42*s - 701. Calculate z(y(k)).\nAnswer: -504*k - 8412","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(320)*3 - sqrt(320)))**2.\nAnswer: 46080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1081 - -5437\/5. Let h = r - 234\/35. Let l = 19\/66 + -4\/33. Which is the third biggest value? (a) h (b) -0.5 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 11*p - 76 = 10 - 5, 0*p - 7 + 28 = 3*p for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110000100100001 (base 2) to base 13.\nAnswer: b419","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -3*q**2 + q. Let t be y(-1). Let x be (-2 - t) + -1 - -4. Let p be (1 + x)*(-2)\/(-4). Which is smaller: 4 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 8*g - 5. Let p(v) = -5 - 183*v + 1 + 96*v + 94*v. Give -3*f(l) + 4*p(l).\nAnswer: 4*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {b: 8, d: 5}.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-3)*n**(2\/5))**(-42)*(n*n**(-3\/5)*n*n\/(n\/((n**(1\/4)*n)\/n)))\/(n*n**(-2\/3)*n\/(n\/n**(2\/9))) assuming n is positive.\nAnswer: n**(19853\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 divided by -18?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 32810.87 weeks in milliseconds?\nAnswer: 19844014176000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3037221.\nAnswer: 3, 11, 2789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2580 - -2602. Solve 14*o + 8 - b = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-8)*(-16400)\/(-26650)\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 5 - 3 + 10*u - 12. Let s be l(9). Is 6 a factor of (18\/4)\/(30\/s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 2\/125 of a minute?\nAnswer: 960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 219 in ascending order.\nAnswer: -2, 3, 219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -r, p - 4*r + 32 = -3*p. Suppose 0 = -4*j - 2*x + 8, 0*j = -3*j + 2*x + 13. Let z be (-2)\/(-4)*(1 - 1). Put p, j, z in decreasing order.\nAnswer: j, z, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5802*k**3*p**2 - 774*k**3 + 2*p**2 - 514788*p + 1 wrt k.\nAnswer: -17406*k**2*p**2 - 2322*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.108 less than 430169393?\nAnswer: 430169393.108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5496, -5535, -5524, -5469, -5376, -5251?\nAnswer: -5100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 8\/5*h**3 + 12\/5*h**2 + 8\/5*h + 2\/5*h**4 + 2\/5 = 0. Calculate h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 173, 402, 631, 860, 1089?\n\"Answer: 229*y - 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sssb. What is prob of sequence sbs?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 14801 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 13*j + 116. Give y(-4).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1 + (4 + 4*(2 + sqrt(475) + sqrt(475) + sqrt(475)))**2*3.\nAnswer: 4320*sqrt(19) + 205635","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2884*o**5 - 10*o**2 + 52*o?\nAnswer: 173040*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 + 296\/3*d + 56*d**2 - 14\/3*d**4 - 2*d**3 = 0. Calculate d.\nAnswer: -2, -3\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -7*t + 3*t. Let s(y) = 15*y - 10. Let f be s(t). Round f to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**5\/5 - 3026*r**4\/5 - 1524092*r**3\/5 - 50903596*r**2 + 102724070*r - 51515050 = 0. What is r?\nAnswer: -505, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 24 = -p + q, 5*p + 3*q - 8 = 0. Suppose -6 = 2*i - 4*w - 30, 5*i = p*w + 30. Solve 3*n + i = -7 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -4*f**3 + 43*f**2 - 2*f - 17. Let q be t(19). Is (8 + 37)\/9 + q\/(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 2*k**2 - 6*k + 6. Let n(o) = 2 + o + o**2 + 0*o**2 - 2*o**2 - 3. Give -m(x) - 6*n(x).\nAnswer: 4*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -6*i**3 - 93*i**2 + 61*i - 20. What is the units digit of q(-20)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 71255 to the nearest integer?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 4*g = -405, -24*g + 19*g - 828 = -2*j. What is the greatest common divisor of 221 and j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*y**2 - 889190*y - 19564600 = 0. Calculate y.\nAnswer: -22, 177860","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 131595 and 61411.\nAnswer: 921165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*((sqrt(700)*-2 + 4 - sqrt(700) - (sqrt(700) + 2)*-2) + 0))**2 + -2.\nAnswer: -5760*sqrt(7) + 27502","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g + 4. Let f = 5 - 8. What are the prime factors of h(f)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 5*o = -73, -1333*r + 4*o = -1331*r - 216. Suppose -12 = -2*k - 0*k. What is the smallest common multiple of k and r?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -43 + 53. Solve 2 = -4*l - 3*v + a, -5*v = 4*l - 16 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of -4*s**3\/3 + 10*s - 9215. Let k(d) = -4*d. Calculate o(k(c)).\nAnswer: -64*c**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9\/(-6)*4\/(-6). List the prime factors of 0 - (c + 1) - -26.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 - 2)*(-2)\/(-3). Let k be 3\/(-6) + (-9)\/y. Let c(g) = g - 5. What is c(k)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/18 and -83\/30?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 106 + 159. Suppose 0 = -4*u + 397 - v. Is 11 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 253 and 8 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 6:54 AM?\nAnswer: 2:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 238628, 954353, 2147236, 3817283, 5964500, 8588893?\n\"Answer: i**3 + 238573*i**2 - i + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2599956.6 months in centuries?\nAnswer: 2166.6305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in 3\/19, -560\/3, 0.763?\nAnswer: 0.763","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11261907 bigger than 11261908?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -20*t**3*u + 7*t**3 + t*u - 260*t wrt t.\nAnswer: -120*t*u + 42*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.5066 + -354414.\nAnswer: -354412.4934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f + 8. Suppose 42*z - 41*z + b - 5 = 0, -5*b = -z + 5. Suppose z*l = 14*h - 10*h - 38, h = 2*l + 11. Determine p(h).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + sqrt(612)*-1 + 4 - -1*(0 + sqrt(612))*-6)*-2)**2*-3.\nAnswer: -359868 - 1008*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -128.1 rounded to zero dps?\nAnswer: -128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22489\/4 + -5622. Which is the nearest to 0.06? (a) l (b) 2\/63 (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -436, -1738, -3910, -6952, -10864, -15646?\nAnswer: -21298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s + 1 + 0 = -2*b + 3*b + 15, -285*s + 296 = -b for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s\/(s*s**32*s))**(-24))**(-23))**(2\/49) assuming s is positive.\nAnswer: s**(-35328\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1704 and 264?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 7 = b, -3*t = -39*b - 45 - 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0651 + -2.9349. Which is the closest to 1? (a) 0.2 (b) -5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (3 - (1 + -1 + 3))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of -q**7\/21 - 13*q**6\/15 - 9*q**5\/8 + 19*q**4\/12 + 23*q**3\/12 - 3*q**2 - 571*q. Find g, given that b(g) = 0.\nAnswer: -12, -1, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + 147751?\nAnswer: 147744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 - 50*i + 85. What is b(48)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (860\/80)\/43*(-3 + 0\/(-1)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 79, 311, 687, 1201, 1847, 2619?\nAnswer: 3511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 4*d**3 - d**2 - 3*d + 2. Let i be q(2). Suppose 2*h - 3*h + i = 0. Calculate the greatest common divisor of h and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1050 is divided by 444.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the first derivative of -w**4\/4 - 7*w**3\/3 - 5*w**2\/2 + 11*w - 907. Give o(-6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 80 = a, -3*a - 2*a + 396 = 3*w. Calculate the highest common divisor of a and 156.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152879 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/2*(-6)\/42?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 57499 and 871?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (228\/10)\/6 + -4. What is the third smallest value in 0, 2\/5, x?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/87286 and -15\/9188.\nAnswer: 174572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + 1. Let r be (-222)\/(-14) - (-11)\/77. Let p = r - 5. Solve -5*m - s + 3*s - 14 = h, p = -2*m - s for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6083479 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rjxaxrrxaaadarr. What is prob of sequence xj?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118 - 146 = -33*k. Solve k + 6 = -7*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 3*i - i - 109, h - 41 = -3*i. Let m = h + -14. Is m a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/12*12\/(-1). Let r be ((-4)\/o*-6)\/1. Let d be (1 - 2)*32\/r. Calculate the highest common divisor of d and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, p: 3, y: 2}. Give prob of picking 1 p and 1 t.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3401072591 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56194492?\nAnswer: 2, 191, 73553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**3 - 3*x**3 - 2*x**4)*(0 - 15 - 10) + (0 - 3 + 5)*(x**2 - x**2 - 2*x**4) + x**4 + 2*x**2 - 2*x**2.\nAnswer: 47*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 192807 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 309707118.\nAnswer: 2, 3, 7, 431, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003571 times -0.4?\nAnswer: 0.0014284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*a - a**3 - 91*a + 89 + 106*a.\nAnswer: -a**3 + 89","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-43) - 1106930\/68585?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 4*b - 863 + 3215, 0 = -y + 4*b + 480. Calculate the common denominator of (23\/((-2530)\/y))\/4 and -63\/8.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 597 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 c, 1 q, and 1 r when four letters picked without replacement from {l: 2, m: 1, r: 3, h: 1, q: 1, c: 4}.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -30330202 (base 4) in base 10?\nAnswer: -53026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 4*a - 5*r, 2*a + 1268*r - 13 = 2537*r - 1270*r for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 4*g**2 - 2*g. What is the units digit of l(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1813 in -0.3, -5, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/24)\/((-4)\/48)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xjx when three letters picked without replacement from jxmx?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**3\/19 + 15913864*g**2\/19 - 31827722*g\/19 + 15913860\/19.\nAnswer: -2*(g - 7956930)*(g - 1)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.3 (b) 2 (c) 59\/38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -7 - (-91)\/(-126)*-10. What is the closest to 0.1 in h, -1\/3, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 33, -1, -3645\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5449?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 2*s = -43500. Round s to the nearest one thousand.\nAnswer: 44000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4943387.4 rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -75 and 2?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 5 + 6 - 8*s + 2*s. What is the units digit of m(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -276 by 138.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3261 is divided by 814?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = -5*b + k + 36, -b + k + 6 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26a (base 13) to base 2.\nAnswer: 110101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46 is divided by 41.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/7, -2, 0.4, -0.04?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are -16 and -344\/23 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -46 * -714\nAnswer: 32844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 161 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 149702.\nAnswer: 2, 7, 17, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1599223?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1985, 3981, 5981, 7985, 9993, 12005?\n\"Answer: 2*s**2 + 1990*s - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 39672 and 12550968.\nAnswer: 2088","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 27253262.56\nAnswer: 27253263.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(117)*-4 + sqrt(117))*-3 - (sqrt(637)*3 - (sqrt(1053) - (sqrt(1053) + 4))**2).\nAnswer: 16 + 6*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/(-4) + 2 + 3\/(-12). Suppose p*j = j - j. Solve j = l + 2*o - 4, 2*l = 5*o - 10 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -356 - -332. Let d be 3\/2*(-128)\/a. Solve h = -0*v + 3*v + d, -h - 3*v = 10 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (315\/(-9))\/((147\/140*5)\/(-3))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 - (0 - (6 - 4))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 27850 - 27852 + 105*a - 461*a in the form i*a + j and give i.\nAnswer: -356","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g**2 - 4*g**2 + 4*g**2 + 3*g**2 - 3*g**2 - g**2 - 5*g**2 + 3*g**2 + g**2 + (2 - 1 - 2)*(-g**2 - 3*g**2 + 6*g**2))*(2 - g + 0*g - 1 + g**2).\nAnswer: -7*g**4 + 7*g**3 - 7*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 58*v**2 - 1927*v. Let b(f) = -4*f. What is b(a(g))?\nAnswer: -232*g**2 + 7708*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -772*w**3 + 159 - 773*w**3 - 780*w**3 + 2318*w**3 to the form p*w + h*w**3 + v*w**2 + u and give h.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 670635082 a multiple of 7151?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -2*n - 9. Let d be s(-6). Let t = -2 - d. What is the units digit of 12 + (-1 - 2 - t)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 6. Let x(d) = 0*d + 18*d**3 + d**2 + 13 - 26 - 4*d + 17. Is x(y) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 4, -1 in descending order.\nAnswer: 4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*m + 2*o, -3*m + 25*o + 79 = 39*o. Solve -66 + 51 = m*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is p in 5*p**2 + 85*p - 90 = 0?\nAnswer: -18, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of -275*q**2 + 0*q**5 + 109\/40*q**6 + 0*q**4 + 0 + 0*q - 166\/3*q**3. What is the first derivative of i(z) wrt z?\nAnswer: 981*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 3*y + 6*y + 9, 4*y + 21 = 5*z. Let o = 119.933 + -120. Let d = 2.067 + o. Which is the nearest to z? (a) -0.2 (b) d (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010 (base 2) to base 3.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 AM and 11:24 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 40.08 + -0.08. Let u = w - 39.92. What is u rounded to 2 decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = -22 + 18. What is the closest to 19 in o, 5, -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -g**2 - 9*g - 6. Suppose 27 = -4*z + 5*a, 0*a = -4*a - 4. Let l be p(z). Suppose -l = -3*f + 1. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/2*(-8)\/(288\/(-81)).\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/(-7)*30\/18.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 153220.\nAnswer: 2, 5, 47, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133118 is divided by 85.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**2 + 2*k**2 + k**3)*((20*k + 544 - 544)*(-k + 0*k + 3*k) - 5*k**2 - k**2 + 0*k**2).\nAnswer: 34*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 1)*(-52)\/(-208) + 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + 402452413?\nAnswer: 402452413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -3 + sqrt(1331) + (6*(sqrt(1331) + -1) + sqrt(1331))**2 - 1*((sqrt(1331) - ((3 + sqrt(1331))*-1 - sqrt(1331))**2) + 1).\nAnswer: -792*sqrt(11) + 70586","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2718355?\nAnswer: 5, 543671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -332, -732, -1126, -1514, -1896?\nAnswer: -2272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 175215955?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that 16*v**4 - 650*v - 212*v**3 - 269*v**2 + 18*v**4 - 2*v**5 + 849*v**2 + 250 = 0.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s*s**(-2\/17)*s*s**(-13\/5)\/s assuming s is positive.\nAnswer: s**(-146\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -34? (a) -80 (b) -3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 4*l**3 - l**2 + 4*l - 6. Let w be c(2). Suppose 0 = -3*u - 2*u - w. Let i(a) = -a**3 - 5*a**2 + 5*a + 2. Is i(u) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bqm when three letters picked without replacement from {k: 1, b: 2, q: 1, m: 2, y: 1, e: 1}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 40864782?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*b**2*l**3 - 2*b**2*l**2 - 209*b**2 - 235*l with respect to l.\nAnswer: -6*b**2*l**2 - 4*b**2*l - 235","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 2*l**2\/11 + 1636*l\/11 - 4926\/11 = 0.\nAnswer: -821, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 121729 and 41?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -3*c**3 + 4*c**2 + 4*c - 2. Let b(h) = -4*h**3 + 3*h**2 + 3*h - 2. Give 4*b(u) - 3*z(u).\nAnswer: -7*u**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -19 - 5 - (35 + -55 + 15)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 71, -1, 7, -27, 12, 1 in decreasing order.\nAnswer: 71, 12, 7, 1, -1, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of -616873 and 30.\nAnswer: -616843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -39 + 235\/6. Let i = -0.22 - 0.08. Let x be (-3 + (4 + -1)\/3)*2. What is the biggest value in i, x, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 5 = 2*z + 6, -15 = 5*i. Which is the third biggest value? (a) 7 (b) -3\/4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 5. Suppose 3*v = -i*f + 37, 2*v + 23 = 5*f - 22. Let m = f - -2. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1254*m**6 + 17*m**4*u**2 + 2639*m**2*u**2 + 6*m**2 wrt m?\nAnswer: -150480*m**3 + 408*m*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3025751 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 203795, 408615, 613435, 818255?\nAnswer: 1023075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + n = -8, -r - n - 2 = -4. Find the second derivative of 97*v**2 + 39*v - 49*v**2 - 46*v**r - 3*v**3 wrt v.\nAnswer: -18*v + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 656.4162228 to the nearest ten.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 373216 and 279056?\nAnswer: 1712","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 1 - 760\/400\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000335116 rounded to seven dps?\nAnswer: 0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 4\/347?\nAnswer: 4\/347","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 864.56 rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2197*w**2 - 187 + 2346*w**2 + w - 4542*w**2. Calculate p(13).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 q when two letters picked without replacement from qlllqlql.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1172.\nAnswer: 2, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*y = -7*y + 8 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 515898559?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuuuuuulluuluuuuuu. Give prob of sequence lul.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 10 - (14 + 15 - (-5 + -2))\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 169 + 0. Calculate the highest common factor of a and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.997 rounded to 1 decimal place?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 4*f + 4*l + 4 = 0, 0 = 3*f - 4*l + 1. Let o(z) = -4*z. Let t be o(-1). Suppose t*m = 7*m - 15. Solve -f*c = 2*p + 10, 3*p - m*p = -4*c + 10 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 4 - 3*z - 23*z to s*z + c and give s.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**3 - 265*t**2 + 1230*t - 1440.\nAnswer: 5*(t - 48)*(t - 3)*(t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, 13, 39, 77?\nAnswer: 127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -5*t + t - 2*i, 3*t + 5*i = 24. Let v = -102 - -106. Solve v*h = 2*b + b + 9, -b - 3 = t*h for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:09 AM and 2:57 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-15)\/(-10)*8\/6. What is the second derivative of 2*n - n - t*n - 2*n**5 - 2*n wrt n?\nAnswer: -40*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12768 rounded to the nearest 1000?\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 462723.\nAnswer: 3, 17, 43, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -43*y**2 - 4300*y - 33. What is w(-100)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 30 = -4*y, -3*u - 7 = 3*y + 2 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 136*n**2 + 27*n + 59. Let a be r(-2). Suppose -18*l = 189 - a. Calculate the least common multiple of l and 102.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = a - 7, -7*w + 12 = -3*a - 2*w. Let n be 0 - ((-3)\/3 + a). Suppose 5*g - 10 = n, -4 = -0*m - 2*m + 3*g. What is the units digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8*30.409\nAnswer: 243.272","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t + 3. Let p be i(-5). Calculate the highest common factor of 13 and p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 - 15*q + 18. Let a be y(14). Suppose 0 = 2*p - 6 - 2. Let c(h) = -p - h + 2*h + 2. Give c(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9312015?\nAnswer: 3, 5, 523, 1187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(396) - sqrt(396))*4 - (2 + sqrt(396))*-6)*-2*-6.\nAnswer: 48 + 432*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -413*b + 371*b + 588. Solve -b*c + 12*c - 2*x = 0, x = 5*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 810 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/4 - 12\/(-16). What is the second derivative of -2*r**2 + 0*r - r + w*r**2 wrt r?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14088235 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/256 and -89\/2680?\nAnswer: 85760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -61, -375, 3, 1, 5\/33 in ascending order.\nAnswer: -375, -61, 5\/33, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 + 2*t + 37. Let y be o(7). Let i = -0.2 + 0.4. Let f = 0.38 + 0.02. What is the second biggest value in y, f, i?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 1005?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 322 is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t - 88*w + 5 = -93*w, -5*t + 10 = -5*w for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1187 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**2 + 5*u + 4. Let q = -15 + 15. Let l be (-10)\/2*(q + -1). Suppose g - 1 - 4 = n, 0 = -5*g - l*n + 25. Give y(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -5*m + 420, -3*j = m - 6*m + 410. What is the remainder when m is divided by 45?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 4*s - 3*s**3 - 4*s**2 + 3 + s**2 + 2*s**2. Suppose 6*z = z - 10. What is the remainder when 28 is divided by o(z)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -8492019*k**2 - 6*k - 536861?\nAnswer: -16984038","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1453016 - -143?\nAnswer: -1452543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*y + 10 + 125. What is the second biggest value in y, -0.02, -2\/3, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 12219, 48891, 110017, 195603, 305655, 440179?\n\"Answer: a**3 + 12221*a**2 + 2*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 - 8*p + 39. Calculate m(4).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26589\/32980 - -13\/485. What is the common denominator of y and -41\/204?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 + 118?\nAnswer: 11c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 + 2*q + 2. Let v(j) = -j + 11. Let b be v(11). Suppose b*n = 3*n + 3*l + 6, 5*n = 4*l + 35. Suppose 3 = -2*x - n. Determine f(x).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 + 0 - (10 + 172). Let t = 183 + d. Which is bigger: 17 or t?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 185 in 2, -0.2, 1.5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8808 - 8786. Let p = 178 - 86. What is the remainder when p is divided by c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - g = -9, -25*p - 14 = -24*p - 4*g for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 28234.4 to the nearest one hundred.\nAnswer: 28200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -183 - -400. Let q = s + -380. Is (-1 - q) + 7\/(-7) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 - 14*q - 28. Let y be z(-12). Let u(t) = t + 13. Determine u(y).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -232032100 (base 4) to base 2.\nAnswer: -101110001110010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, t: 2, l: 3}. Give prob of picking 2 l.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, 1, 7, -2, 2, -811 in increasing order.\nAnswer: -811, -3, -2, 1, 2, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -38 + 5739. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxxxxxxx. What is prob of picking 4 x?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 PM and 6:19 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-53*m**2 + 53*m**2 + 3*m**3)*(8 + 4 + 3) to the form z*m**3 + x + r*m + f*m**2 and give z.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -2*i**2 - 18*i - 9. Let f be u(-8). Suppose y - f*y = 2*y. Suppose -11*z - 3*z + 2072 = y. Calculate the remainder when z is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13027 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3 + (-5 - -7))*1. Suppose -q = 4*f - 4126 + 721, 0 = b*f + 2*q - 4257. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of k**5\/20 + 5*k**4\/12 - k**3 - 41*k. Factor n(t).\nAnswer: t*(t - 1)*(t + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 m, and 1 s when three letters picked without replacement from {k: 2, p: 1, m: 2, s: 2, c: 1, x: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*g + 84 = -19*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**9*(s**(-22)*s)\/s assuming s is positive.\nAnswer: s**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12658608 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 - 4*v**2 + 3*v + 3. Let l be y(3). Suppose 2*b = l*b - 2. Solve -5*c - b - 3 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 + 14. Suppose -o*n + 1 = -3*n. Is (-2 - 1*-37)*n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-9))\/(-1)*-1.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 3, n: 5}. What is prob of picking 3 h?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -1306.056 minus 1052.9522?\nAnswer: -2359.0082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, t: 1, z: 2, q: 1, h: 1, o: 2}. Give prob of sequence zoo.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -4*r**3 + 9*r**2 + 8*r - 28. Let f(c) = 5*c**3 - 8*c**2 - 7*c + 28. Let a(u) = 6*d(u) + 5*f(u). Is 25 a factor of a(-12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 560965958 * 0.4\nAnswer: 224386383.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 4096073 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 8) in base 4?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 9*o - 4 - 6*o - 1. Let j(t) = -4*t + 6. Suppose 2*s - 24 + 10 = -5*q, q - s = 0. Suppose 0 = -4*x + 2*x + 6. Determine q*j(w) + x*z(w).\nAnswer: w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4, -1, 0.14, -0.2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m**2 - 440110*m - 440115 = 0 for m.\nAnswer: -1, 88023","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of d**2\/2 - 8. Give j(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 69955 and 55964.\nAnswer: 279820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (869128\/(-305))\/52 - -47?\nAnswer: -39\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve b - 9 = 5*q + 4, 4*q + 20 = -4*b for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 30745499 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 639520, 1279053, 1918586, 2558119?\nAnswer: 3197652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = l - 4*m + 18, 0 = -5*l - m + 14. Solve -3*z = -5*a + l*z, -4*a = 2*z - 18 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {o: 12, c: 6}?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 5*z + y, -3*y - y = 3*z - 19. Find the second derivative of -6*k**4 + z + 6*k + 0*k**4 + 6*k**3 - 10 wrt k.\nAnswer: -72*k**2 + 36*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of 460 and -0.8?\nAnswer: -368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*g = -165 + 1412. Suppose -m = -4*s - 4*m + g, 0 = -5*m - 15. Let b(p) = -p**2 + 16*p - 3. Give b(s).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -205 + 533?\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 26, 1\/12, 4, 1434 in descending order.\nAnswer: 1434, 26, 4, 1\/12, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0\/(5\/(-1) - -6). Suppose y = a + 236 - 241. Solve l = -0 + 3, a*l = x + 19 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 9:24 PM?\nAnswer: 1:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -612 or -616?\nAnswer: -616","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 99*a + 383 + 607 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 + 169*j**2 - 896*j - 493. What is z(6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 + -818 + 815 + -1 + 15?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 + 18*s + 37. Give z(-15).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*f + 2*w + 14 = -33*f, -3*f = -w - 13. Let t be (-2)\/6 + 16\/3. Calculate the lowest common multiple of f and (-4)\/(2 + t\/(-2)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -14*i**2. Let m(b) = -5*b**2 + 4*b - 4. Let x(q) = -14*q**2 + 11*q - 11. Let t(w) = -11*m(w) + 4*x(w). Determine t(l(h)).\nAnswer: -196*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 + (1 + (-8 - 2) - -12 - 11).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.9 - 0.5. Let d = p + 1.2. Which is the second biggest value? (a) 5 (b) -2 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 462 and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1\/((-4)\/(-4))*33. Let j be h\/(-11) + (16 - 1). What is the tens digit of j\/(3\/1) + 39?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-11)\/((-176)\/(-160)) - -15. Put z, 0.2, -2, -2\/7 in descending order.\nAnswer: z, 0.2, -2\/7, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1825376, -1825438, -1825554, -1825730, -1825972, -1826286?\nAnswer: -1826678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-294)\/(-126)*6\/28*(-24)\/(-126)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = 2*n - 3, -3*n + 1 = -2*n + 2*o for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 13*c = 24726 - 1950. What is the greatest common factor of c and 2774?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 1838429?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8774774691 - -0.022889.\nAnswer: -8774774690.977111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = -0*j + 3*d - 150, 62 = 2*j - d. Solve j = -4*l + 5*r, 0*r + 4 = -4*l - r for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 189053*d**2 - 33242*d**2 + 697510*d**2.\nAnswer: 853321*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -37, -19, 5, 29, 47?\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(60)\/(sqrt(6)*1 + sqrt(6)) - (sqrt(10) + sqrt(160))*-1)\/(sqrt(20)\/(sqrt(32)\/sqrt(8)) - (sqrt(40)\/sqrt(8)*-4 + sqrt(5))).\nAnswer: 11*sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132)\/(sqrt(72)\/(sqrt(6)*1)) + 0)*-4)**2.\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -5*o**2 + 2676770*o = 0.\nAnswer: 0, 535354","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Is 277 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16510?\nAnswer: 2, 5, 13, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k**3 + 95*k**2 + 41*k - 33. Calculate the remainder when c(-47) is divided by 63.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (1 - -1) - -8.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15 and 18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -43*d**2 - 26*d + 8. Let b(n) = -218*n**2 - 133*n + 38. Give 3*b(q) - 14*c(q).\nAnswer: -52*q**2 - 35*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 2219*j + 579166. Give x(-261).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**3)**(-1\/38)\/((b**(3\/4)\/b)\/((b\/((b*b*b\/(b*b**(-3)))\/b))\/b)) assuming b is positive.\nAnswer: b**(-291\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - -224?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 16845872 to the power of 1\/2, to the nearest integer?\nAnswer: 4104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 855 + -476. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - f - 6 = 0, 0*z = 4*z - 4*f - 8. Calculate the remainder when 23 is divided by (-53)\/(-4) - z\/8.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 3 - q + (0 + 0 + 2)*(q - q - 2*q) + 5*q - 5*q + q + 2*q + 3 + 0 - 6 to the form r + w*q and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 2) in base 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 9:20 AM?\nAnswer: 8:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -2*(sqrt(2) + 0).\nAnswer: -2*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 9:23 AM?\nAnswer: 4:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 37301501?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 1 + 4)*(k**2 - k**2 + k**2) + 7*k**2 - 3*k**2 - 2*k**2 + 7*k**2 - 22*k + 22*k + 84*k + 9*k**2 - 84*k to the form a + n*k**2 + f*k and give n.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-1)\/1*-1)\/((-1)\/(-3)). Let o(k) = 5*k + d + k**3 - 73*k**2 + 77*k**2 + 0*k. Calculate o(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -535881888 divided by 1224.\nAnswer: -437812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x - 4*z = -16, 3*x - z = -0*z - 4 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 + a + 1. Suppose -387*l - 6 = -393*l. Let f(s) = -6*s**2 + 10*s + 4. Let t(y) = y**2 - y. Let c(h) = -f(h) - 8*t(h). What is l*c(r) + 3*d(r)?\nAnswer: r**2 + r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2929 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*j + 0*j - j)*(66*j**2 - 92*j**2 - 354*j**2).\nAnswer: -1900*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(180)*3 - sqrt(180))\/(4*sqrt(144)))**2.\nAnswer: -25\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 174 a factor of 870?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2504322*w**2\/17 + 17904*w\/17 + 32\/17.\nAnswer: 2*(1119*w + 4)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 3, -0.18, 67 in decreasing order.\nAnswer: 67, 3, -0.18, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of -15*g**7\/7 + 157*g**6\/10 - 147*g**5\/10 - 51*g**4 + 4*g**3 + 48*g**2 + 192*g. Find h, given that p(h) = 0.\nAnswer: -2\/3, -1\/2, 2\/5, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 7954 = -7960 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 4*s = 64, 0 = 2794*y - 2788*y + 3*s - 75 for y.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 110822088.\nAnswer: 2, 3, 13, 89, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 27\/2 of a litre?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ckdc when four letters picked without replacement from dckckdddkkkd.\nAnswer: 5\/1188","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1923 (b) 13 (c) -1.55\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -533 (base 7) to base 8\nAnswer: -415","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 22\/3 - 23\/3. Let m = 0.4 + -0.1. Let p = -0.2 + m. Which is the nearest to p? (a) r (b) -2\/13 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**3 + 28264*k**2 - 1597968*k - 18802080.\nAnswer: 4*(k - 66)*(k + 10)*(k + 7122)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*l + 5. Suppose -3*u + l*i = -104 - 40, 0 = 2*u + i - 96. Suppose -2*v - 25 + 89 = 0. Calculate the highest common factor of v and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*z + 870 = -36*z. What are the prime factors of z?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9670.1138 rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h**2. Let p(j) = 11801141*j. What is p(c(l))?\nAnswer: 23602282*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -14*v**2. Let c(s) = 19*s**2. Calculate u(c(f)).\nAnswer: -5054*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 11 = 2*a, 5*a = -28*d + 32*d + 16 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 82 + -77. Suppose m*t - 48 = -2*u + u, t = 5*u + 20. What is the least common multiple of 2\/(-6) - 67\/(-3) and t?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/33 - (-66)\/363. Let f(d) be the first derivative of 0*d + 1\/18*d**6 - 1\/3*d**3 - v*d**2 - 1 + 1\/12*d**4 + 1\/5*d**5. Solve f(r) = 0 for r.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 148*f + 1587. What is m(-11)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 6*i**2 + i - 3. Let a(b) = -11*b**2 - 2*b + 5. Let g be (0 - 6\/(-3)) + -9. Give g*l(t) - 4*a(t).\nAnswer: 2*t**2 + t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -486.31*377\nAnswer: -183338.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 5 (b) -4 (c) -2\/27 (d) 25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -4543.355 rounded to zero dps?\nAnswer: -4543","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(12\/393)*(-2 - 0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 854, 1711, 2568?\nAnswer: 3425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 + 31 + (-2)\/1. Suppose -t = -r - 3*r. What is the highest common divisor of 20 and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3284331 (base 11) to base 10.\nAnswer: 5759634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 83 = 3*j - y, -4*j = 2*y - 96. Let m be (-123)\/6*(-2*3)\/3. Let i = m - j. Calculate the least common multiple of i and 8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40776*j - 13587*j - 13592*j - 13595*j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 47497755 to the power of 1\/2, to the nearest integer?\nAnswer: 6892","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 2)*(24 + 2*z + 1 + 5).\nAnswer: 2*z + 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 223 + 1392. What is the hundreds digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 4*h = -224, -2*h = -5*h - 3. Let s be p\/(-21)*(-1 - 6). Let i = s + -42. Let b(j) = j**3 + 5*j**2 + 6*j + 2. Determine b(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 5*o = -6*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 100*r**3 - 6920*r**2 - 432244*r - 171784 = 0. Calculate r.\nAnswer: -197\/5, -2\/5, 109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 5*h = -185, h = -3*r - 3*h + 116. Suppose 0 = -2*s + 4*d + 52, 0 = s + 4*d - 20. Calculate the smallest common multiple of s and r.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 513*f**3*u - 7*f**2*u - 30*f*u wrt f.\nAnswer: 3078*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f - 2. Let l be x(2). Let b = l - -2. Suppose -5*m + 8 + b = 0. Solve w + u = m*w - 4, -5*w - 5*u - 30 = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5202 and 1017360.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 2 + 1. Suppose -k + 11 = -5*k - l, k + 5*l = -17. What is the nearest to z in 1\/10, 5, k?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 5673*i**3*o - 95*i**3 + 4*i*o**4 + 14*i wrt o.\nAnswer: 5673*i**3 + 16*i*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -336475397, -672950794, -1009426191, -1345901588, -1682376985?\n\"Answer: -336475397*p","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -11, -13, -5, 19, 65, 139?\n\"Answer: r**3 - r**2 - 6*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 679 minutes after 2:21 AM?\nAnswer: 1:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -52922\/9 - -5880. Let n = -0.02 - 0. Put 4\/9, n, 0.1, o in decreasing order.\nAnswer: 4\/9, 0.1, n, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 48\/5?\nAnswer: 48\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.399 + -0.601. What is the closest to h in -2.1, 2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/(-25) + (-18)\/(-5). Suppose 4*s = -c*r + 5*r + 5, 2*r = 4*s - 6. Let u = r - -52. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 16) to base 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 28963 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 32521596 to the nearest integer?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 622462 (base 8) to base 6\nAnswer: 4230150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1104?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 101 + 151. Solve -z*g + 9*g - 2 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -257*t - 18 + 8*t**2 - t**3 + 0*t**3 - 268*t + 536*t.\nAnswer: -(t - 9)*(t - 1)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 83 + 563*s + 556*s - 1113*s + s + 2*s + 8*s + 2*s - s - 2*s + (s - s - 2*s)*(-3 - 4 + 5).\nAnswer: 20*s + 83","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -59449333.1 to the nearest 100000.\nAnswer: -59400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = i. Let y(f) = -f + f - f + i. Let u(d) = -2*d**2 + 0*d + 0*d. What is y(u(n))?\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 4*z = -3*w + 13, 4*z + 14 = 3*w. Suppose 2*p - 12 = w. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*s + 4*o - 3*o + 89, 2*o = 3*s - 133. Calculate the highest common factor of 85 and s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = y, -3*y + 15 - 20 = -2*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1587526, -3175040, -4762554, -6350068, -7937582, -9525096?\n\"Answer: -1587514*l - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25564836?\nAnswer: 2, 3, 11, 293, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 49691.47km in millimeters?\nAnswer: 49691470000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 48997101449 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2920?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -79 by 142.\nAnswer: -79\/142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 799583?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -2 - 4)\/(-2 - 1)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -589, -1239, -1901, -2575, -3261?\nAnswer: -3959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-24))\/((-3)\/18)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62 = -5*l - 4*f, 0 = 4*f + 7 + 1. Calculate the least common multiple of l and (16 - (-4 + 0)) + -2.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -110 - 45?\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14264*y = 14377*y + 578 + 223 - 236 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (11 + -6)*(-2)\/10. Is -2 at most as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1118 + 1679. What is the hundreds digit of l?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -274 + 318. What is the third derivative of 634*l - 634*l + l**4 + 116*l**2 - h*l**6 wrt l?\nAnswer: -5280*l**3 + 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 67*z - 2*z**4 - 26*z + 4*z**4 - 19*z - 21*z + 1 to the form h*z**4 + t*z + c + d*z**3 + i*z**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 116\/57 in 2\/7, -1\/4, 0.088, 13?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/5))**(-14)\/(c\/(c\/(c**3*c))*c*(c**(8\/5)*c)\/c) assuming c is positive.\nAnswer: c**(-61\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 341 + -240. List the prime factors of g.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 AM and 8:51 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*b - 250 = 19*b. Suppose 5*i - b = 7*i. Let h = i - -18. Does h = -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 167176 (base 8) to base 10\nAnswer: 61054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a day in hours?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -6*z**2 + 5*z. Determine f(2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3021 + -6704?\nAnswer: -11725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 107267 divided by 67\nAnswer: 1601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1123\/3 - 375. Which is the smallest value? (a) 4 (b) -1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1438271, -2876547, -4314809, -5753051, -7191267, -8629451?\n\"Answer: p**3 + p**2 - 1438286*p + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 108213 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(3*(sqrt(448) - (sqrt(448) + sqrt(448) + -1)) + (2 + sqrt(448))*5 - (1 + sqrt(448) + 2 + 3)))**2.\nAnswer: 2800*sqrt(7) + 12425","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -414*x**2\/11 - 832*x\/11 - 8\/11.\nAnswer: -2*(x + 2)*(207*x + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*u**2 - u + u)*(-6 - 7 + 0*u**2 + 7*u**2) to a + c*u**3 + r*u**4 + j*u**2 + b*u and give r.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of 1\/4*n**4 - n**3 - 5*n - 9\/2*n**2 + 0. Suppose w(h) = 0. Calculate h.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2*v + 2*i, 42 = v + 4*v + 3*i. Suppose -s - 3*b - 124 = -3*s, -3*b = -v. Suppose s = 6*z - z. Is 2 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -26828, -52751, -78674?\nAnswer: -104597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*(4\/(-6) + 21 + -20). Sort -0.3, 0, 0.3, v in increasing order.\nAnswer: -0.3, 0, 0.3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 52496 and 10205840.\nAnswer: 3088","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the third derivative of -k**6\/24 - 7*k**5\/4 - 245*k**4\/8 - 1715*k**3\/6 + 2*k**2 + 20. Factor f(s).\nAnswer: -5*(s + 7)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*a = -69*a + 10120. Is a a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -3*f + 11, -2*f + 1 = -4*j - 3. Let o be (-4)\/18 + (-166)\/(-18). Suppose o = f*n + 1. What are the prime factors of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8 and 3.9?\nAnswer: 31.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -933 + 931 + (-3)\/((-54)\/44).\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - (-16)\/4 - (-863 - -5)\/(-26)\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47205, -94411, -141617, -188823?\nAnswer: -236029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 0 + (sqrt(11) - (sqrt(22)\/sqrt(2) - sqrt(11))**2).\nAnswer: -3 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from kqqqqqkq?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*m + 16. Let k(t) = t**3 + 4*t**2 + 2*t + 8. Let x be k(-3). Let i be ((-14)\/3)\/(1\/(-3)). Solve m*l + i = -x for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 + 12*z - 13. Let h be k(11). Let i = h - -4. Solve -i*c - 5*s = -35, 5*s - s - 10 = 2*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 4137768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 53654704 to the power of 1\/2, to the nearest integer?\nAnswer: 7325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20006?\nAnswer: 2, 7, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (2603\/57 - 44)\/(2\/24)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49 = -2*v + 108*z - 101*z, 4*z = 2*v - 28 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -24.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(((sqrt(504) - (2*sqrt(504) - sqrt(504)))*-3)\/sqrt(8))\/((sqrt(6480) + -4*sqrt(6480))\/sqrt(5))*-2)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4 - 0)\/(-4) - -2. Let z be ((-12)\/(-20))\/(u\/5). Suppose z*r - 50 = -m + 2*m, r = 4*m + 24. What is the greatest common factor of r and 24?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 42 + -96. Let l = -125 - w. Let k = l + 70.9999918. Round k to 6 decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a - 57. Let q(x) be the second derivative of -x**3\/3 + 2*x + 76. Determine g(q(j)).\nAnswer: 2*j - 57","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -71439 not equal to -71500?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 90747 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l - i - 13, 4*l - 2*i = -i - 41. Let j = l + 8. Let u be (0 + j)*1*-5. Solve -25 = 4*n - u for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and (-4)\/(-18) - 260\/(-45).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/20334 and -28\/45.\nAnswer: 305010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2c23 (base 13) in base 7?\nAnswer: -24544","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve r + n + 10 = 8, 20 = 5*r - 5*n for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16771133?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 6 = 21. Suppose -3*n + m = -45. Let s(a) = a**2 - 2*a + 1. Let u be s(4). What is the highest common divisor of u and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -35 + 84. What is the remainder when l is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -534? (a) 213 (b) 2\/5 (c) 3\/4 (d) 3 (e) 6\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42609 is divided by 45?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83071 is divided by 146?\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 167 + -159. Suppose 3*o - s = 7. Solve -3 + 18 = o*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = n + 1. Suppose 0 = -n*v - 4*h + 12, -3*v = -5*v - h + 9. Let q(y) = y**3 - 6*y**2 + y - 1. Let i be q(6). Solve 7 = -v*f - i for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31200133220 (base 4) in base 10?\nAnswer: 3540968","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5619\/1238 not equal to 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + 0. Suppose 10 = 3*h + 1. What is the second derivative of 14*r - h*r**2 - 12*r + r**n wrt r?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-22 - -83 - -22) + -3 + -16?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 653, 898, 1143, 1388, 1633?\n\"Answer: 245*a + 408","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 148.03 + -148. What is the third smallest value in -4, f, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -903, -877, -821, -729, -595, -413, -177?\n\"Answer: x**3 + 9*x**2 - 8*x - 905","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of 0*r**2 + 5\/3*r**3 + 0*r**4 + 0*r**6 - 13*r**7 + 0*r**5 - 132 - 23*r. Find the third derivative of j(o) wrt o.\nAnswer: -10920*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4*j + 0*j - 2*j)*(-3 + 3 - 2) + j - 4*j + j - 14*j - 2 + 2)*(0*j**2 + 0*j**2 - 2*j**2 + (3 - 2*j - 3)*(-3*j - j + 5*j)).\nAnswer: 80*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from akbpbpj. Give prob of picking 1 b, 1 k, and 1 j.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = y**3 + 13*y**2 + 16*y + 44. What is z(-12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -6*c**2 + 4*c + 7. Let f(h) = -5*h**2 + 4*h + 6. Let p = 31 - 37. Give p*k(a) + 7*f(a).\nAnswer: a**2 + 4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of 1\/3*s**3 - s - 3 - s**2. Let y(b) = b**2 - b. Let w be y(2). What is j(w)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-27)\/(-63) - 282\/70. Is -5 <= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 22\/455 and -59\/312494.\nAnswer: 1562470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 plus -0.320279?\nAnswer: -0.320279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -64915, -62931, -60951, -58975, -57003, -55035, -53071?\n\"Answer: -2*v**2 + 1990*v - 66903","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 113\/66 and 4\/122595?\nAnswer: 245190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -381, -118, 325, 948?\n\"Answer: 90*a**2 - 7*a - 464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 567150757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 AM and 5:17 PM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 2)*(216 - 216 - 38*x).\nAnswer: 114*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3081224 (base 9) to base 5\nAnswer: -410211344","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -6*((sqrt(147) - (sqrt(147) + -1*sqrt(147) + sqrt(147) - sqrt(147))) + -5 + 4 + -3) + 2)**2.\nAnswer: -1764*sqrt(3) + 5733","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1668? (a) 2.99 (b) 1\/8 (c) 0.3 (d) -5 (e) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2 - r + 46. List the prime factors of a(0).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12883533.\nAnswer: 3, 13, 330347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -37 - -56. Let s = -16 + m. Suppose -r = -s*h + 8 - 2, 5*r = h + 12. Solve -14 = -r*j + 1 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6473 - 3263 = -32*v + 3274. Let r(z) = -z**2 - 5*z + 3. Let b be r(-5). Factor 3\/4*l**5 + 0*l**b - 3*l**v + 0 + 0*l + 9\/4*l**4.\nAnswer: 3*l**2*(l - 1)*(l + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/((-35)\/63) - 4. Suppose -4*n + w + 2*w - 2 = 0, -n - 3*w = -7. Solve -n = r*o + 9 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1045 (b) 0.2 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: a88 (base 11) to base 6\nAnswer: 10014","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (4 + -2 - 10).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.9094 + -0.0906. Let b = 0.4 + -0.2. Let u = 268\/1335 - 6\/89. What is the closest to b in u, 0.1, i?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(1\/5)\/f**(-8\/5))**22 assuming f is positive.\nAnswer: f**(198\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.5 and -43.9.\nAnswer: -43.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from ffqfffffqaaafffd.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8186804.\nAnswer: 2, 23, 53, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3677 < 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4794476 divided by -1198619?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9054 - -10497. What is the hundreds digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/4 - 1090247*q\/4.\nAnswer: q*(q - 1090247)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3097\/12 - 1127\/4. What is the third smallest value in 3, v, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 1678\/1118815?\nAnswer: 1678\/1118815","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-48) + 0 + 6\/(-8)\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 3*b + 5 + 1, -4*b + 3 = -j. Let y = -4 + j. Let v = y - -12. Solve -v*c + 2*c = -12 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98)\/(1*sqrt(7)))\/sqrt(800).\nAnswer: sqrt(7)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(3 + 453\/(-150)). What is the highest common factor of t and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*x = 5*x + 4*p + 44, -71*p + 151*p = -5*x + 81*p + 5 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 AM and 3:47 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*l = -48*l + 69 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 57.53 + -57.03. Suppose z = -2*z. Suppose 4*g + 18 = -3*y, 3*g + 0*y - 3*y + 3 = z. Which is smaller: g or s?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 2) to base 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -203*s*v**2*x - 13*s*v*x**2 + 529980*s*v - 3391*v**3*x**2 wrt v?\nAnswer: -406*s*x - 20346*v*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -351, -5, 7 in ascending order.\nAnswer: -351, -5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 - 4*l**2 - l + 7. Let m be q(3). Let k be 1\/m - 14756\/(-155). Calculate the highest common factor of 19 and k.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.56431037 to 4 dps.\nAnswer: -0.5643","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 7, s: 9, e: 3}. Give prob of sequence js.\nAnswer: 7\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + (-4 - -2)\/(-1). Let n = 1 + z. Solve -n*k - 11 - 1 = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23113?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -0.18, 0.4, 0.7, -0.3, -108?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (3 - 3\/4*6)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -653265 (base 8) in base 13?\nAnswer: -78792","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*r = 21*r - 365. Let q be (1 + -1)\/(-1*1). Put r, -4, q in descending order.\nAnswer: q, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -15179 and -14043 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/6 - 4\/24. Which is greater: s or 133?\nAnswer: 133","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -29\/6 (b) 0.3 (c) 54\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 - 7*r**2 + r + 9. Let o be m(-7). Let x(p) = 4*p**3 - 11*p**o - p**3 - 3 + 0*p - p - 4*p**3. What is the units digit of x(-11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 22 (b) 2\/9 (c) -3 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-104)\/(-130)*(-45)\/2 + -4. Sort 2, 4, w in ascending order.\nAnswer: w, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + -110 + 111 + -1 + 7 + 43 + 6\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001576355615 to five decimal places.\nAnswer: 0.00158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -3*z + 26. Suppose -d = -4*d - z. Let h = -3 + 3.3. What is the third biggest value in h, d, -4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -46270*b**2 - 118783*b**2 + 18164*b**2.\nAnswer: -146889*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of m**6\/120 - 7*m**3\/6 - 20*m**2. What is the derivative of q(z) wrt z?\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 57*k**3 + 60*k**3 - 105*k**3 + (2*k**3 - 4*k**3 + k**3)*(4 + 2 - 5) + (3*k + 0*k - 5*k)*(-5*k**2 + 3*k**2 + 3*k**2) + 28 - 46 + 4*k**3 - k**3.\nAnswer: 12*k**3 - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**1\/l**(-1\/13) assuming l is positive.\nAnswer: l**(14\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -10 + 121437?\nAnswer: 121427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes before 8:36 AM?\nAnswer: 2:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*u + 12291 - 57475. Calculate the least common multiple of 2471 and u.\nAnswer: 19768","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of -d**4\/6 - d**3\/3 + 9*d. Let o = -2 - 1. Let b be 5\/o + 1\/(-3). What is h(b)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (74 + -114 - (-3 - 0)) + (5 - 19).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1790475, -3 in descending order.\nAnswer: -3, -5, -1790475","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432) + -1)*3 + 2.\nAnswer: -1 + 36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.4 (b) 782 (c) 0.39 (d) 0.4 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 110773129\/10476 + 1115755\/388. Let d = h + -13449. Find the common denominator of d and -121\/18.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-20)\/(-2) + -3)*4. Suppose -s = -4*u - 5*p, -4*u + 3*p - 1 = 3. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 3*d**2 + 2*d - 18. Let k(m) = 2*m**2 + 2*m - 12. Let o = 27 + -19. Let j(p) = o*k(p) - 5*r(p). Give j(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -17*r**2 - r + 1. Give t(1).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 241 + -396. Let f = -15 + o. Let v = -102 - f. Does 13 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g**3 + 8*g**2 + 11*g + 21. What is q(-5)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0*0.0511\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b**2 + 154. Let n(h) = -3*h**2 - 2. Let k(m) = -m**2 - 1. Let t(g) = -2*k(g) + n(g). Give z(t(i)).\nAnswer: 2*i**4 + 154","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (1 + 0 - (-2 + -1))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 291\/(-6)*(-2958)\/(-1479).\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -41770\/3 + 13926. Which is the nearest to 0.3? (a) 2.6 (b) 5 (c) n (d) 4\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.8 and 1963946.\nAnswer: -5499048.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in fifteen quarters of a microsecond?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.0492*-4\nAnswer: 0.1968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 120*i**3 - 5*i**2 - 235*i**3 - 17 + 5*i**2 + 113*i**3 + 2*i + 3*i**2 to t*i**2 + p + j*i**3 + f*i and give p.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-4 + sqrt(153)*-1) + (-5*sqrt(187)*2)\/sqrt(11) + 2)*-5.\nAnswer: -50 + 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -78, 313, 3, -2 in increasing order.\nAnswer: -78, -2, 3, 313","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 94391359 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 470759733?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -6*h**3 - h**2 + 11*h + 7. Let n(p) = -5*p**3 + 10*p + 6. Let b(z) = 5*n(z) - 4*v(z). Is 7 a factor of b(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 8912 - 8895 = -3*v, -5*v + 2*r - 15 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -19*x - 50. Let q be s(-15). Let c = q + -197. Calculate the remainder when c is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -8*a**2 - 13*a - 65. Let w be p(-7). Calculate the common denominator of 3\/80 and (87\/12 - 7) + w\/40.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -52387201*h**3 + 234754*h**2 - 1251 wrt h.\nAnswer: -314323206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (9*n + 7*n - 7*n)*(-5*n**2 + n**2 + 5*n**2) + 3*n**3 - 1 - 11*n**3 + 0 to the form c*n**3 + v*n + o + u*n**2 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(147) + 0)**2*-3 - (3 + ((1*sqrt(363))**2 - sqrt(363)))).\nAnswer: -4035 + 55*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 1 + 7 = 0. Let l = 1 - h. Find the second derivative of -4*k + 2*k**2 + 3*k - l*k wrt k.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the first derivative of 17*v**2\/2 - 11*v - 97. Let n = -7 - -18. Calculate the least common multiple of i(1) and n.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/828 and -77\/19704.\nAnswer: 1359576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 3 + -10 + 1 + 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10)\/(-15) + 12263234\/35201427. Let c = -470\/463 + v. Let m = c - 1241767\/506860. Calculate the common denominator of -31\/10 and m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3128 and 35972.\nAnswer: 1564","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3107435 or -3107434?\nAnswer: -3107434","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**3\/9 + 608966*u**2\/9 + 15500958704*u\/3 + 2500300423544 = 0.\nAnswer: -151998, -487","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/24? (a) -13 (b) 6\/59 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.53 + 7359.23?\nAnswer: 7361.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 5*a = 104786, 5*x - 371*a + 375*a = 174626. List the prime factors of x.\nAnswer: 2, 19, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 2 m when three letters picked without replacement from {v: 1, c: 1, h: 2, m: 2, f: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 108769 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (-7 + 2 - -7).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 349635\/(-536562) + (-2)\/(-3) and 19\/10?\nAnswer: 22930","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*-6*sqrt(336)\/(sqrt(6) + sqrt(96)))\/((sqrt(392) + sqrt(392)*2)*1*-2))**2.\nAnswer: 1\/175","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 20627 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (330\/825)\/(-3*(-4)\/850)*12\/10.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 81 * 2.362575.\nAnswer: 191.368575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/410940 and -27\/14459.\nAnswer: 7807860","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 366972 to the nearest integer?\nAnswer: 606","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 2*r**2 - 18. Let z be b(3). Suppose z = 14*v - 28*v + 924. List the prime factors of v.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(60) + sqrt(60)*1)\/sqrt(12) - (sqrt(5) + (2*sqrt(15))\/sqrt(3)))*2)**2.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:38 PM and 8:42 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(7) - (sqrt(70)\/sqrt(40))**2)*2 + 1.\nAnswer: -5\/2 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 10 (b) -4\/15 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(2\/17)*w\/w**11)\/(w**(-9\/4)\/(w*w*w\/w**(-1))))**7 assuming w is positive.\nAnswer: w**(-1729\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 - -41\/2. Let t be (1\/16 - 5215\/7152)*9\/24. Which is the third biggest value? (a) t (b) -10 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11*((-5)\/(-110))\/((-1)\/(-68))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -43, 2\/5, 3, -1\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 + 90*g**2 + 241*g - 1536. What is n(-87)?\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -674 divided by 1?\nAnswer: -674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 112624?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 149\/12 and -57\/1898.\nAnswer: 11388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 3:50 AM?\nAnswer: 6:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 13275 and 132750.\nAnswer: 132750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25 - 12. List the prime factors of f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 839 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/28 and 71\/45968.\nAnswer: 321776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 29101 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 2*y**4\/15 + 8144*y**3\/15 + 2766244*y**2\/5 + 3314608*y\/3 + 1656490\/3 = 0.\nAnswer: -2035, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -215, -837, -1877, -3323, -5163, -7385, -9977, -12927?\n\"Answer: 2*b**3 - 221*b**2 + 27*b - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-seven fifths of a decade?\nAnswer: 648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -0.0297\nAnswer: -0.1188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.5 and -53.\nAnswer: -53.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -2*i**2 + 46*i + 5. Let p be d(23). What is the second derivative of -114*g + 212*g + 2*g**2 - 14*g**p - 28*g wrt g?\nAnswer: -280*g**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 159, 0, 0.3, 56\/9, 0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -3 (b) -1\/201 (c) -0.1 (d) 2\/13 (e) 1\/2 (f) 2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-608)\/80)\/((72\/(-120))\/((-3)\/6)).\nAnswer: -19\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -70 - 15466\/(-247).\nAnswer: -5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + -7 + (9 - (-8)\/(-1))*6677. Is 6671 at most f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x - 3, -w - 4*x - 3 = -2. Suppose 0 = 2*z + w*q - 913, 8*z - 5*q - 1771 = 4*z. What are the prime factors of z?\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-6))\/(4\/((-16)\/8)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -33 >= -5\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 5051.4196 to 0 decimal places.\nAnswer: 5051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-36)*2)\/1*3.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 6*a + 4. Let b be f(-3). Suppose -3*j - j + 4*u = 16, -4*j + 5*u - 16 = 0. What is the units digit of (-172)\/(-14) - j\/b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 293489644 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 12) in base 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= 1914?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = -4*f - 105, 6*f + 3*k = f - 129. What is the tens digit of (f\/10)\/((-6)\/45)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10\/13? (a) -6 (b) -3\/43 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 91*f + 0 - 1.\nAnswer: 91*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3039346060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 - 119251?\nAnswer: -119251.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 196581459 to the nearest integer?\nAnswer: 14021","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(350)\/(sqrt(20)\/sqrt(2)) + sqrt(35))\/(sqrt(42)\/(sqrt(18)\/sqrt(3))) + 3 + 4)*2)**2.\nAnswer: 112*sqrt(5) + 276","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*p - 6*p**3 + 12*p**3 + p**3 - 6*p**3 - 5*p.\nAnswer: p**3 - 13*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004394 rounded to six dps?\nAnswer: -0.000044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 less than or equal to 881\/59?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 29.4 + -29. Let t be 2\/5 - (3 - 3). Let z = 22 - 26. Which is the closest to t? (a) y (b) 3 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-210)\/(-13) - (-2)\/(-13). Suppose 0 = -5*i + u + 4. Suppose k + 2*v - v - 83 = 0, 0 = i*v. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + 2. Suppose k*l = 5*l - 4. Let d(y) = -7 + 5*y**2 - 3*y + 2*y**l + y**3 - 3*y**2 + 1. Determine d(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhy when three letters picked without replacement from yhshyyhyhyshyyy?\nAnswer: 16\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of -11*a**9\/252 - 13*a**5\/60 + 26*a**2. Find the third derivative of w(i) wrt i.\nAnswer: -2640*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -222?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -15497, -0.5, -0.7, -1, -4, 2\/13?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 19, 677, 2785, 7069, 14255?\n\"Answer: 121*b**3 - b**2 - 186*b + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (18 - (-29 - -36)) + -15 + 0 + 40?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of -53\/6*v**3 + 0*v**5 + 5\/12*v**4 - 2 + 0*v**6 + 1\/210*v**7 + 0*v + 5*v**2. What is the first derivative of f(i) wrt i?\nAnswer: 4*i**3 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-57 - (36 + -88)) + (1 - 1 - -12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6018*s - 18066*s - 2*s**2 + 6032*s + 6016*s.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 43043 (base 8) in base 13?\nAnswer: 8232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -11 + (-536 - -597)?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*x + 160 - 355 = 0 for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -531 + 2?\nAnswer: -527","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 5:50 PM?\nAnswer: 3:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/12)\/(14\/4).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 + 2. Let n = 123 + -1105\/9. Which is greater: g or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 + 15 + (4\/32 - 652\/160)?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-35)\/(-9)*(-15336)\/(-6390).\nAnswer: 28\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -9800 (b) 535\/8 (c) -0.07\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 323 is divided by 101?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18063 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 265382248.\nAnswer: 2, 29, 127, 9007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - l - 406 = -3*d, -6 = 3*l. Let g = 37 - -14. What is the remainder when d is divided by g?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/5 of a kilometer in meters?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 + 12*(5 + (-68)\/12). Calculate the remainder when 159 is divided by 5\/h*14 - -62.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -161 or -0.07?\nAnswer: -161","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 - 3*t**2 - 4*t - 2. Let c(z) = -3*z - 6. Let w be c(-7). Let u = 44 - w. What is the remainder when u is divided by q(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -210 + 198. Let p = 11 - 13. Put p, 2, m in ascending order.\nAnswer: m, p, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 35, 118, 265, 482, 775?\n\"Answer: z**3 + 26*z**2 - 2*z + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 3*u)*(-2*u + u - 1 - 9*u).\nAnswer: -30*u**2 - 3*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((2040\/(-350))\/34)\/(2\/14). Which is the nearest to g? (a) 1\/2 (b) -52 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a century in months?\nAnswer: 2800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 28 + -3. Suppose 3*i - 5*m = 0, 4*i = 6*i + 4*m - 22. Suppose 0 = 4*c + c + i*k - h, 2*k - 2 = 0. Calculate the remainder when c is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8186246 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: Is 75853 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of 153*t**4\/4 - 16*t**2 + 26. Let d(j) = -5*j**2. What is d(o(n))?\nAnswer: -4213620*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*x = -1563 + 4797. Solve 0 = -8*d - 131 + x for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-1498)\/(-3))\/(2\/3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -2*o + 2*l - 0 - 34, -o + 422 = -3*o + 20*l for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 63655 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 8\/(-6)*(-1)\/4. Suppose -10 = o - 6*o - v, -o - 9 = -2*v. What is the second biggest value in -2, z, o?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvtx when four letters picked without replacement from vttxxttvtv.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -197*l**3 + 599*l**3 - 200*l**3 - 201*l**3.\nAnswer: l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -93047*g**4 - 2*g + 85575.\nAnswer: -372188*g**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13171? (a) -0.2 (b) 5 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 4*k. Let r = -1981 + 1976. Let t(s) = -3*s + 1. Give r*t(n) - 4*q(n).\nAnswer: -n - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -978 + 980.588. Let g = -0.112 - o. What is the smallest value in -3\/7, g, 2\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a**5 - 236*a**4 - 7892*a**3 + 27580*a**2 + 77872*a + 42640 = 0. Calculate a.\nAnswer: -26, -1, 5, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 + 0. Find the second derivative of n*t**2 + 14*t + 3*t**2 - 4*t - 11*t**2 wrt t.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3862 + -3858. Solve 16 = n*x - 4*r, 0 = x + 5*r + 24 - 10 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 23\/10)*70\/(-56)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 + 2*q + 2. Let d(g) = -8*g. Let f(y) = -y. Let s(z) = -2*d(z) + 18*f(z). Let r be s(-1). Let t(a) = -a**2 + a + 1. What is r*t(i) - n(i)?\nAnswer: -i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 17273 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*o - 2 = -34*o, -o + 17 = -5*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 3*q + 5 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 3 = -b. Let g(u) = 2*u - 9. Let p be g(3). Sort -5, p, b in decreasing order.\nAnswer: b, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 32.4 - 32. What is the nearest to 0 in r, -2\/21, -6?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1*(-15 + 1404\/91) + 185154\/7.\nAnswer: 3, 2939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -703361\/563 and -1249 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n**2\/7 - 39*n\/7 - 172\/7 = 0. Calculate n.\nAnswer: -4, 43","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3 - 33\/9*-3. Suppose -t*h + 6 = -34. Suppose -r = -5 - 1. Sort r, -4, h, 1.\nAnswer: -4, 1, h, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1902 is divided by 113?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -18*o + 18. Let n be h(1). Which is the biggest value? (a) n (b) 1\/7 (c) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 2*v - 10. Suppose 9*o - 4*o = 3*y - 25, -4*o = -2*y + 20. Suppose y = -d + 3*d + 5*w - 12, 0 = 4*d - 5*w + 6. Is v greater than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -63a (base 16) to base 15.\nAnswer: -714","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.245 + -0.24500396. Let h = 0.0197 + -0.0197. Let w = h + f. Round w to 7 dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54254 rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*w + 0*w + 0*w)*(-291*w - 23680*w**2 + 23677*w**2 - 359*w) to the form r*w + q*w**2 + l + d*w**3 and give q.\nAnswer: -1950","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-7\/3)\/((z**9\/z)\/z) assuming z is positive.\nAnswer: z**(-28\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -22*z**3 - 348*z**2 - 1322*z + 252 = 0?\nAnswer: -9, -7, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 287 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 9*n**3 + 15*n**2 - 11*n. Let v(x) = x**3 + x**2 - 5*x + 4. Let m be v(2). Let k(i) = -5*i**3 - 8*i**2 + 6*i. Calculate m*z(a) + 11*k(a).\nAnswer: -a**3 + 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -54\/49 and 18\/511?\nAnswer: 3577","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 595575920 to the power of 1\/3, to the nearest integer?\nAnswer: 841","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2*1)\/(14\/539) - 2. Let d = f - 50. Solve -4*t - 5*x + d = -t, -x + 5 = 3*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44 = -l + 49. Is l a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 33204507?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5089?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -52 - 89. List the prime factors of f.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3157999519\/1320 + -2392424. Calculate the common denominator of u and -157\/180.\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 4 + 0 = 0. Suppose -3*z + 4 = -5*f, z - 4*f - 34 = 3*z. Let p be z\/(70\/(-25))*2. Put p, 2\/7, k in ascending order.\nAnswer: 2\/7, k, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 + 14*h**2 - 12*h + 76. What is t(-15)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of -v**6\/27 - 118*v**5\/45 - 503*v**4\/9 - 2684*v**3\/9 - 585*v**2 - 486*v + 1363. Determine g so that p(g) = 0.\nAnswer: -27, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + l = -m + 7, -17 = -4*m + l. Sort m, -2, 2 in ascending order.\nAnswer: -2, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138*c - 141*c + 3869 = 10*c + 40*c for c.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -178*i + 6869 + 2957 = 400*i. Let n(l) = l**2 - 17*l - 52. What is n(i)?\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20651, 41304, 61957?\nAnswer: 82610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 4*q - 10, -3*b - 2 + 12 = -5*q. Suppose -4*c - 3*y + 11 + 12 = 0, -3*c = y - 11. Sort c, b, 1, 6.\nAnswer: b, 1, c, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**22)\/(i*i**1))**(-32) assuming i is positive.\nAnswer: i**736","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p**3 - p**2 - 2*p. Let k(r) = 6*r**3 - 14*r**2 - 14*r - 3. Give k(u) - 7*m(u).\nAnswer: -8*u**3 - 7*u**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 - 5)*(-1 + 3\/(-2)). Suppose 0 = 18*v - s*v - 12. Suppose -786 = -v*w + k + 1154, 964 = 2*w + k. Round w to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -291 less than or equal to -293?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/11 + 6700*w + 61723750.\nAnswer: 2*(w + 18425)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5633 + 5631. What is the nearest to -1 in 0.4, 1, -32\/5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 + -15. Let g be 4\/15*(-5585)\/l. Let w = -248 + g. Do 0 and w have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 507 minutes before 7:07 PM?\nAnswer: 10:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 2 = 2*y, -7 = -b - 5*y. Suppose b*q + q = 3*t - 24, -28 = -4*t + 2*q. Is t a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8057 - 5714 = -42*v + 3981 for v.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 15 + (14 - 28 - (-20 + 12))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -2*g**2 + 25*g - 30. Let w be (-101 - -104)*((-11)\/3)\/(-1). Let o be d(w). Solve n - 2*f - 3*f = 22, 4*n - o*f - 3 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b**5 + 3240*b**4 - 39477*b**3 - 179802*b**2 + 413856*b + 1179360 = 0.\nAnswer: -1092, -4, -2, 3, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 5*r**2 + 2*r + 1. Let n be z(-1). Suppose 2*o - 4*w = 0, -3*o + 6*w - w + n = 0. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -507 divided by 4.\nAnswer: -507\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mdd when three letters picked without replacement from {r: 10, i: 1, m: 2, d: 2, w: 1}?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l*l**(2\/17)*l*l*l*l**2\/l*l*l)\/(l**(-2\/13)\/l**2) assuming l is positive.\nAnswer: l**(2270\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t = -3*x + 11, 6*x + 5*t = 2*x + 3 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 264*j**3 + 36*j**2 - 36*j**2.\nAnswer: 264*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -4*r**3 - 4*r**3 - 12 + 17*r + 14*r**2 - 8 + 7*r**3. What is the remainder when 19 is divided by j(15)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1925*a + 9*a**3 + 1925*a.\nAnswer: 9*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.8 in -0.1, -3\/8, -3, 594?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208)*-3 + (sqrt(13) + 1)*2)**2.\nAnswer: -40*sqrt(13) + 1304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -102 + 48. Let f = 56 + a. Solve 0 = -f*i + 5*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -437244 divided by 996\nAnswer: -439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 122 - 110. Calculate the smallest common multiple of 116 and (-212)\/(-16) - (-2 - (-15)\/a).\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 8*f + 4. Let y(i) = 69*i + 36. Let g(h) = -23*h - 12. Let n(k) = 11*g(k) + 4*y(k). Calculate -6*n(z) + 17*r(z).\nAnswer: -2*z - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 2\/3 (c) -5 (d) -9 (e) 391 (f) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the first derivative of -6 + 7\/2*k**2 + k**3 + 0*k + 1\/2*k**4. Let n(q) = -q**3 - q**2 - 3*q. Determine 7*n(h) + 3*y(h).\nAnswer: -h**3 + 2*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gpp when three letters picked without replacement from capagkgpgakgga.\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 28*g**2 + 578*g + 2781. What is s(-13)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.21159783 to 3 decimal places.\nAnswer: 1.212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 135011125 or 135011128?\nAnswer: 135011128","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 5 = -2*s, 3*n - 4*s + 15 = -0*n. Let h be ((-1)\/n)\/(3\/6). Differentiate 0 - h*o**4 + 3 - o**4 wrt o.\nAnswer: -12*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1231808 divided by 134\nAnswer: 615904\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 6:32 PM?\nAnswer: 1:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 34697 and 10387.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 57392903*b**2 - 335 - 294 - 57392901*b**2 in the form m*b**2 + c*b + x and give x.\nAnswer: -629","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12\/7? (a) 0.085 (b) 3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/(-3) - (-215 + -4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -138*(-6 + (-2177)\/(-364)) and 101\/4.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2108, 4238, 6406, 8630, 10928, 13318, 15818?\nAnswer: 18446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 369 to the power of 1\/4, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 564 or 575?\nAnswer: 564","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -193089204 divided by -94374\nAnswer: 2046","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = r + 9, -97*y + 100*y = 5*r + 35 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33*i - 10*i - 14*i + 12*i)*(3*i - 2 + 2).\nAnswer: 63*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (16\/8)\/(-1 + 2). What is the third derivative of 0*g - 7*g**2 + 0*g + 0*g**z - 8*g**5 wrt g?\nAnswer: -480*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11396 and 1663046?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1599)\/(-13)*108\/324.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3356853?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, u: 2, p: 1, d: 1, w: 2}. What is prob of sequence wu?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*u**2 - 4*u**2 - u**5 + (6*u**5 + 0*u**5 - 4*u**5)*((-2 - 2 + 3)*(1 - 1 - 3) + 2 + 3 - 3 + 0 + 0 + 2)*(-30 + 36 + 62)*(1 - 5 + 6).\nAnswer: 1903*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.38 times -126336?\nAnswer: 427015.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**1)**(2\/79)\/(s**1)**(14\/3) assuming s is positive.\nAnswer: s**(-1100\/237)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*u = 38*u - 12300. What is the least common multiple of u and 205?\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 + 12*t - 30. Let i be y(9). Let c(j) be the first derivative of j**4\/4 + j**3\/3 - 3*j**2\/2 + j - 1. Calculate c(i).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3384?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*(b\/b**5)\/b*b)\/b*b\/b**(3\/4)*b*(b\/(b\/(b*b**1*b)))\/b*b**(-1)\/b assuming b is positive.\nAnswer: b**(-7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5899.263 millennia to centuries.\nAnswer: 58992.63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-4) + (3 - (-267)\/(-84)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of -1760*b**4\/3 - 2147*b**2 + b + 789. What is the first derivative of x(y) wrt y?\nAnswer: -14080*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8191634532?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the third derivative of y**7\/2520 + y**5\/40 - y**4\/12 + 2*y**2. Let f(x) be the second derivative of m(x). Differentiate f(j) with respect to j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -434.4*-544.\nAnswer: 236313.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 6*w**2 + 2*w + 1. Let l = -1 - 0. Calculate g(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= -391\/1126?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 415290330 - 0.017756\nAnswer: 415290329.982244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 10184 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 1)*(-4 + 4 + 2*z) + 14 - 23*z - 14 + 2*z + 3*z - 7*z + (-4 + 0 + 2)*(0*z - 3*z + 2*z) + (-3*z + 0*z + 4*z)*(5 - 4 - 2) - 3 + 4*z + 3.\nAnswer: -16*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-13)\/40 - (-7)\/35. Let d = 20 + -101\/5. What is the third biggest value in d, -7, g?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000901196121 to six decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19386 is divided by 668.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((2*sqrt(245))**2 + 0 - sqrt(225)\/sqrt(5)*-6).\nAnswer: -980 - 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-2 - 8) - -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -189*p**2 - 182*p**2 + 552*p**2 - 181*p**2 + 14*p**3.\nAnswer: 14*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -20*(-12)\/56*-1960000. Round q to the nearest 1000000.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9 - (1 - 6\/2). Suppose 0 = 3*v + 2 - p. Solve -8 = -2*q, m + q + 0 - v = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -37129 * 0.218\nAnswer: -8094.122","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 342?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14879 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 32 and 186532?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3540936 to the nearest integer?\nAnswer: 1882","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12 - -8. Let o be 2 - (n\/6 + 0). Let u = 15.14 - 13.14. What is the nearest to 0 in -1, o, u?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -57.633 + 68.8316. Let r = 11.2 - f. Round r to three decimal places.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 42\/49*2051*3\/18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the first derivative of 27 + 0*d**5 + 0*d**4 + 0*d**3 - 5\/6*d**6 + 0*d - 35\/2*d**2. What is the second derivative of w(v) wrt v?\nAnswer: -100*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k**3 - k**2 + k - 1. Let f be t(2). Let g(s) = 4*s + 6*s - f*s. Let y(x) = 2*x**2. Give y(g(b)).\nAnswer: 18*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -126 divided by 2\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p - 3*p + 11*p - 480*p**3 - 9*p + 501*p**3 + 1.\nAnswer: 21*p**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 59728354 a multiple of 98?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29851 is divided by 3720.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s - 3*s + 6*s + (4 - 2 + 0)*(-3*s - 2*s + 3*s))*(3*s - 5*s + 3*s).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -18\/5*h**3 - 52\/5*h + 16\/5 - 86\/5*h**2.\nAnswer: -2*(h + 1)*(h + 4)*(9*h - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-1)*c*c)**(-18))**(1\/35) assuming c is positive.\nAnswer: c**(-72\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 29*q + 64. Let z(m) = -12*m**4 - 12*m**2 + 2. Let k(b) = b**4 - b**4 - b**4 - 1. Let r(v) = q*k(v) - z(v). Find the third derivative of r(a) wrt a.\nAnswer: 336*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 5*b + 35. Let o(i) = -2*i - 18. Let r(t) = t**3 + 34*t**2 + 29*t - 125. Let v be r(-33). Determine v*o(l) + 3*d(l).\nAnswer: l - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(114)*-2 + 5*sqrt(114)*-2)\/(sqrt(30)\/(sqrt(10)\/sqrt(2)) + sqrt(6) + sqrt(30)\/(sqrt(5)*4)))**2.\nAnswer: 1216\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 AM and 9:59 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*j**2 + 1221*j**3 + 0*j**2 - 44 + 2*j**2 - 54 + 2 wrt j.\nAnswer: 7326","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -74 + 36. Let p = 38.2 + a. What is the second biggest value in 1\/6, p, -0.1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of 1\/12*i**5 - 15*i**3 + 0 + 67*i**2 + 0*i - 85\/24*i**4. Factor k(z).\nAnswer: 5*(z - 18)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that n**5\/11 - 79*n**4\/11 - 3525*n**3\/11 + 25693*n**2 + 53480*n - 867300\/11 = 0.\nAnswer: -59, -3, 1, 70","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 36 + -31. Suppose -p + 979 = 3*d, -4*d + i*p = -2*d - 630. List the prime factors of d.\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 - 8. What is the derivative of 2 + 14*y**2 - 4*y**4 - 14*y**a wrt y?\nAnswer: -16*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {t: 3, p: 4, r: 5, j: 4}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1978*q + 301*q - 45660 = -4*q for q.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36413, -72981, -109701, -146573, -183597, -220773, -258101?\nAnswer: -295581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + -139542a8?\nAnswer: -139542b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.3875247 and -19867.427.\nAnswer: -19867.0394753","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(2016) - -4*1*sqrt(2016) - sqrt(2016)))\/(sqrt(42)\/(-5*(2*sqrt(6) + sqrt(6) - sqrt(6)))*-5).\nAnswer: 288*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1579311 is divided by 155?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -25.6 - -27. Let x = z + -1.7. Let f = -1 + 0.6. Which is the closest to 0.4? (a) 2\/13 (b) f (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -50 - -116. Let q(z) = 131*z**2 - z + 2. Let m be q(1). Let j = m - k. Calculate the greatest common divisor of j and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 4*q - 10. Let p be 0 - (-19 - (-1 - q)). Suppose -5*m + p = -0*m. What are the prime factors of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**2. Let v(o) = -o - 1. Let m(d) = -d. Let k(f) = 2*m(f) + v(f). What is k(t(u))?\nAnswer: 3*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**3\/5 - 718761*m**2\/5 - 22998048*m\/5 - 36795648.\nAnswer: -3*(m + 16)**2*(m + 239555)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -8*v**2 - 5*v + 1. Let s(n) = 7*n**2 + 4*n - 1. Let b(m) = 6*p(m) + 7*s(m). What is the units digit of b(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from {i: 6, s: 2}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of m**3 - 19528*m**2 - 285365.\nAnswer: 3*m**2 - 39056*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 3*b**3 - 2*b**2 + 2*b - 4. Suppose 0 = m - 4*z - 18, 22 = 7*m - 4*m - 4*z. Give w(m).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 27017 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 20*j**2*q - 74*j*q + 1761*j + 7920*q + 1769 wrt j.\nAnswer: 40*j*q - 74*q + 1761","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2190594 microseconds in seconds?\nAnswer: 0.0000002190594","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 198100 by -566.\nAnswer: -350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 177284808 is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 - 5*i**2 + 5*i + 2. Let h be l(3). Let s(n) = 2*n**2 - n + 1. Let w be s(h). Solve -4*d + w = -0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -589.5305 + 589. Round n to 1 dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3653649280.00000676 - 3653648743. Let u = -537 + n. What is u rounded to 6 dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 180 + -172. Suppose -n*b + 9*b = 3. Solve -1 + b = -i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37.68814 rounded to 1 dp?\nAnswer: 37.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9234 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10022, 20028, 30034, 40040, 50046, 60052?\nAnswer: 70058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 169 divide 101255064?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 11 + 2 + -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - 0. Suppose -5*f + b*f = 0. What is q in f + 5 - 1 + 4 - 2*q**2 = 0?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1249, 2525, 3801, 5077, 6353?\n\"Answer: 1276*g - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/2*w**2 + 1\/4*w**4 + 1\/4 + 1\/2*w**3 - 1\/4*w - 1\/4*w**5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 556402 divided by -11.\nAnswer: -50582","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.94055 - -744.81055. Round l to the nearest one hundred.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.6 - -5.6. Let l = -5.22 + z. Round l to one decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * 18.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of 11*r**5\/60 + 13*r**4\/36 + r**3\/9 - 15*r. Factor a(g).\nAnswer: g*(g + 1)*(11*g + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-6*(-1*(sqrt(1377) + 0 + 5)*-2)**2 + -1)*-6.\nAnswer: 64800*sqrt(17) + 1009470","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135251?\nAnswer: 211, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -38700, -78023, -117964, -158523, -199700, -241495?\n\"Answer: -309*i**2 - 38396*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 6*l = 51, 1679 = 19*c + 5*l + 1776 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 147*m*v**4 - 1609*m*v**2 - 2*m*v - 19*m + 87*v**4 + 37*v**3 - 2 wrt v?\nAnswer: 3528*m*v + 2088*v + 222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 28123 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1081179418?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.551 - -424.449. Let t = s + -425.00000289. What is t rounded to seven dps?\nAnswer: -0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 306*q + 1. Is w(1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88 = 4*t + 4*m, -3*m - 8 + 47 = -2*t for t.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 c, 1 m, and 1 q when four letters picked without replacement from {q: 1, m: 3, f: 1, d: 3, c: 2, g: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18476575 is divided by 35738?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5482, -0.07, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - -2) + 2 - (10 - (-2 - -15))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, s: 2, v: 4, k: 2, o: 2, c: 3}. Give prob of picking 1 s, 2 c, and 1 v.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -3*u + 27 - 27 + 4*u. Let d(h) = 7*h. Determine c(d(r)).\nAnswer: 7*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 1)*(5*h - 3*h - 4*h) - 11*h + 11*h + 7*h + 3.\nAnswer: 9*h + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66 = -244*h + 1313 + 5697 for h.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54 is divided by (60\/25)\/(92\/40 + -2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 118?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -267530, -267573, -267616, -267659, -267702, -267745?\nAnswer: -267788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 90 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1704361 divided by 4\nAnswer: 1704361\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1673?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.7 (b) -28 (c) -1 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*j - 4*h - 164 = 0, 2*j + 5*h - 26 = 31 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21.1 + 218.9. Let o = r - 238.456. Let q = -1.6 + o. What is q rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -2*g**3 + 7*g**2 + 3*g + 5. What is r(5)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36 and 1422?\nAnswer: 2844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 11*z + z**3 + 0*z**2 - z**2 - 14*z + 2. Let n be v(2). Solve 6 = -3*f - n for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (64\/(-36)*-3)\/(((-6440)\/84)\/46)?\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 331, 286, 25\/3.\nAnswer: -2, 25\/3, 286, 331","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v**3 - 3*v + 34*v**4 - v**3 - 35158 + 35158 to k*v**4 + l*v**2 + d*v + b*v**3 + y and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 514135?\nAnswer: 5, 31, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120 - 1012221020220?\nAnswer: -1012221020100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w - 5*w = 15. Solve w*b = b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**3\/4 + 355*y**2\/4 - 4534*y + 2983.\nAnswer: (y - 38)*(y + 157)*(3*y - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*o + 4*h = 31*o - 25, 0 = -3*o + 5*h - 19 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35510 and 3015.\nAnswer: 335","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 559 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1381*y**2 + 4164*y**2 - 1383*y**2 - 1403*y**2.\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9605 and 1830713?\nAnswer: 1921","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1511*j**3 - 35 + 12*j**2 + 10*j**3 - 499*j**3 - 28*j**2 wrt j.\nAnswer: 6132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -1349*m - 1354*m - 1355*m + 4051*m. Let n(v) = 121*v**2 - 2. Give n(s(y)).\nAnswer: 5929*y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 18810 a multiple of 95?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - 2\/1) + 6. Let l(g) = -v*g**2 - 6 + 6*g**2 - 3*g + 0*g. What is l(6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 46, 61, 66, 55, 22?\n\"Answer: -q**3 + q**2 + 19*q + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (20\/(-30))\/(2\/(-6)). Let w(a) = a**2 - a + 1. Let r(h) = -h**3 + 15*h**2 + 22*h - 35. Let o(p) = u*w(p) + r(p). Let c be o(18). Is 22\/9 >= c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 12, 0.4, -0.4, -3, -96, -6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 13) in base 15?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7680*h + 15349*h = 7730*h + 1403 for h.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*a + 0*a - 30*a**5 - 9 + 0*a + 400*a**3 - 402*a**3 - a**5 wrt a?\nAnswer: -620*a**3 - 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*i - 10 + 2 = 24*i for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/3 - 8*c - 23\/3.\nAnswer: -(c + 1)*(c + 23)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 12, 13, 5, 2 in descending order.\nAnswer: 13, 12, 5, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 78492799?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that -5*m**4 - 121675*m**3 + 243375*m**2 + 121675*m - 243370 = 0.\nAnswer: -24337, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28408 + 8725 = 4208*x - 9129 - 16858 for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5225504072 - 2084979783955\/399. Let s = b + 9171. What is the second biggest value in -1, 1\/5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68179 (base 11) to base 7.\nAnswer: 560521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 213 and 16894663.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/37766 and 83\/75532.\nAnswer: 75532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1068*v**2 - 1070*v**2 + 3199*v**2 + 86*v**3 - 36*v**3 - 48*v**3 - 1061*v**2.\nAnswer: 2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-183*g + 183*g - 30*g**2)*(-27 + 27*g**2 + 8 + 21) in the form d + y*g + x*g**3 + l*g**2 + k*g**4 and give l.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - z = -0*z. Solve 20 = 2*n - 2*h, -4*h = -z*h + 20 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45\/60)\/(5*(-2)\/(-40)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, r: 3}. Give prob of sequence rfrf.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 4*c - 11. Let v be g(4). Let b = -3 + 6. What is the smallest value in v, b, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3.1, -3, 528, 3, -43 in increasing order.\nAnswer: -43, -3, 3, 3.1, 528","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 4 = -2*a - 2, -19 = -4*a + 5*l. Suppose 8*r - a*r + 39 = 0. List the prime factors of r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 - 16*w + 712. What are the prime factors of d(0)?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 + 15*j - 10. Let d = -14 - -16. Suppose 5*g - 4*w = 60, -g - d*g = -2*w - 36. Is 13 a factor of r(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*b - b - 990 = 0. What is the highest common divisor of b and 350?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 2*d + 9 = d, 2*h + 3*d = -14. Let m be (6 - (3 + 0)) + 154\/(-55). What is the nearest to h in m, -3\/7, 0.1?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 800 and 1620.\nAnswer: 64800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 810 by 5.\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 557*k - 4458. Calculate l(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23017135?\nAnswer: 5, 23, 71, 2819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1858 + 849*k**2 - k - 932*k**2 - 1858 + k.\nAnswer: -83*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**2 - 2*l**2 - 2*l**2)*(-84*l + 7 + 2 - 2 + 41*l).\nAnswer: 129*l**3 - 21*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 3*a + 111, 4*b - 109 = a + 24. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -0.8 (b) -4 (c) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3058.34 take away 155857.3934?\nAnswer: -158915.7334","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -1, -5, 5.\nAnswer: -5, -1, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 5*v - 33, 0*f + 12 = v + 5*f. What is the second derivative of v*p**4 + 9*p - 3*p**4 + p**4 wrt p?\nAnswer: 60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**38\/(m*m**(-10)\/m) assuming m is positive.\nAnswer: m**48","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**2 - 5*f - 1. Let l be h(-4). Let k = 6 - 6. Suppose 4*j + 2*y = 4*y + 6, 5*j - 5 = 2*y. Sort l, j, k.\nAnswer: j, k, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m and 1 v when four letters picked without replacement from omvvvvovmmmv?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -128 - -163. Calculate the greatest common factor of 28 and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -238*z - 62. Is 14 a factor of a(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*y + 3*y - 3*y)*(y - y - 2*y**2) - 2487*y**3 - 230735*y + 230735*y to f + t*y**2 + r*y + a*y**3 and give a.\nAnswer: -2483","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 0.3 (b) 41.7 (c) -0.4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 16, -26, -98, -200, -332, -494, -686?\n\"Answer: -15*u**2 + 3*u + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -23*w - 8. Determine x(-1).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 1. Let n(a) = -6*a - 9. Suppose -10*p = -5*p + 30. Let x(l) = p*i(l) - n(l). Let k(m) = -m. Give -5*k(y) - x(y).\nAnswer: -y - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 5*s = 360. Is 18 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 1812 - 7617. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 111.3 - 157.2. Let v = n - 66.7. Round v to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5819 and 17071888?\nAnswer: 529","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18348 - -32082. Is 7 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3536 - 3299. Calculate the highest common divisor of j and 57.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17826?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h. Let x(n) = -10*n**2 + 5*n. Let r = 3167 - 3152. What is r*k(i) - 3*x(i)?\nAnswer: 30*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1263230?\nAnswer: 2, 5, 126323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116433 is divided by 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2848, -4, 3 in descending order.\nAnswer: 2848, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.06 at most 1551?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 611482 to the power of 1\/2, to the nearest integer?\nAnswer: 782","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 3975 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 105 - 140 = 5*n, 0 = -3*r - 13*n - 80 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29104, -58210, -87316, -116422?\nAnswer: -145528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 34741711 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/336 and 71\/1568?\nAnswer: 4704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - (-64)\/14 - (2 - -2).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.77 - 0.76976. Round u to five decimal places.\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -200*w**2 + 1115*w - 5586. What is o(5)?\nAnswer: -5011","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qccnqnnq. Give prob of sequence nc.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5 + 15a?\nAnswer: 15f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -10*f**2 + 8*f - 21. Let i(j) = 5*j**2 - 5*j + 11. What is 5*i(p) + 3*u(p)?\nAnswer: -5*p**2 - p - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -2*i**3 + 5*i + 1. Let o(l) = 7*l**3 - 6*l**2 - 19*l + 35. Let p(z) = 3*k(z) + o(z). Determine p(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -61.28 + 0.28. Let o = -75.8 - v. Round o to 0 dps.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3087670?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/24 + 95\/30. Suppose 0 = 2*s - 1 - 3. Suppose -4 = -4*i, 3*w - s*w - 6 = -m*i. Solve u = -4*y - 9, -19 = 6*y - 2*y + w*u for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 12*m + 642. Determine r(-53).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-27050)\/(-450) + -60 - (4 + (-117)\/30)\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -10*u**2 + 4*u. Let i(j) = -j**2 - j. Calculate -4*i(c) - l(c).\nAnswer: 14*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000730672 rounded to 5 decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 6*h - 220. Suppose -5*f = -f + h. Let t = -457 + 459. What is the biggest value in t, -0.4, f?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -155 + 245. Calculate the highest common factor of f and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-273)\/(-84) - 7\/4. What is the nearest to 2 in 15, f, 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 5*v - 110, 5*d + v - 12 = 74. What is the tens digit of 1\/3 - (-354)\/d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 - -8 - (-480 - -570)?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + u - 2 - 2 + 2 - 2*u + (3 - 3 + 2)*(-u - 1 + 1) + 0 + 0 + u + (0 - 4 + 6)*(-u + 2*u - 2*u) - 2*u - 2 + 2.\nAnswer: -6*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 3*j**3 - 62*j**2 - 1977*j + 54. Give o(38).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 + 77 = -25*w + 72*w. Put -1, 10, -22, -2, w in descending order.\nAnswer: 10, w, -1, -2, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z = -2*q + 18, 5*q + 8*z = 7*q - 6 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i + 4. Let z be d(6). Let s = z - -28. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l + 4. Let z be r(0). Suppose 3*c - 5*c = -z. Suppose 5*n + c*d = 269, n - 3*n + 3*d = -119. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 4980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.7 - 0.4. Let k = p - -5.6. Let s = 1 + -0.8. Which is the second biggest value? (a) 1\/8 (b) k (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29*c**4 + 72*c**3 + 9188*c wrt c.\nAnswer: 348*c**2 + 432*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (4 - (2 + (-30)\/10)) + (-2 - -328). Is u at least as big as 332?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5909191 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/6)\/((-1)\/((-15)\/10)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 344815.\nAnswer: 5, 68963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 - 149*y + 3. Let w(x) = 3*x + 1380. What is w(a(p))?\nAnswer: 3*p**2 - 447*p + 1389","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((x*(x*x**(-3\/7))\/x)\/x)\/x*x)\/((x\/x**(2\/5)*x)\/x))\/(x**8\/x**5))**1 assuming x is positive.\nAnswer: x**(-141\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001901332 rounded to 7 decimal places?\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -13*q**3 + q**2 + 2*q - 2. Let z(p) = -27*p**3 + 3*p**2 + 5*p - 5. Determine 10*f(i) - 4*z(i).\nAnswer: -22*i**3 - 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a micrometer in nanometers?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.638716 years?\nAnswer: 0.00638716","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 - -3 - 3\/(-3). Suppose 0*g + g - u = 0. Let n = g - -3. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = -25, 101*p - 24 = 4*b + 105*p for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2149 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23 + 43 - 10*m**2 - 20.\nAnswer: -10*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 4, 3, 0, -828?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25400206?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 182*w - 184*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 110*u + 111*u + 7337, u - 12223 = -5*y. Calculate the remainder when y is divided by 48.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6575545 by -10039.\nAnswer: -655","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 688 and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 15*q**2 + 85 - 85. Let j(s) = s. Determine y(j(b)).\nAnswer: 15*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 374 = k - 6*v, -4*k + 5*v + 2896 = 2597 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oijjjjio. Give prob of sequence oo.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/4 + (-2)\/8. Suppose 4*z - 10 = k, 115*k - 113*k + z = 16. Solve g - 4*g - k = j for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 5*c - 7 = 19, 3*m - 16 = 4*c. Let o be 1 - 2 - (-1 + 3). Let v(i) = i**2 + 3*i - 3. Let b(h) = 3*h**2 + 8*h - 8. Calculate m*v(s) + o*b(s).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 46827.2 milligrams in grams?\nAnswer: 46.8272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1)\/(d*d**5))\/(d\/d**1)**(1\/14)*(d**(-3\/5)*d*d\/(d\/(d**(-1\/3)*d)))\/(d**(1\/2))**(-9) assuming d is positive.\nAnswer: d**(-43\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/4*(-309)\/3296*(-4)\/3?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + u - u)*(u**3 + 9 - 13*u**2 - 1 - 7).\nAnswer: -u**4 + 13*u**3 - u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = m + 733, -m = -2*g + 5*g - 725. Calculate the greatest common divisor of g and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttttttttntnntt. What is prob of sequence nttn?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/b**2)\/b*b\/(b\/b**0))**35\/((b**(-5)*b)\/(b**4\/b)*b**(-1)*(b**(-2\/5)\/b)\/b*b) assuming b is positive.\nAnswer: b**(-128\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11852, -11, 12.\nAnswer: -11852, -11, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 125, -0.1, 6\/7, 3\/55, -2\/7, 0.\nAnswer: -2\/7, -0.1, 0, 3\/55, 6\/7, 125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 54? (a) 0.2 (b) 0 (c) -0.1 (d) 188339 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*s + c + 20 = 22*s, s + 5*c + 30 = 0 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 6*l**2 + 17*l**2 - 3 + l to the form r*l**2 + i + o*l and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r**2 - r - 2*r + 9*r**2 + 11*r - 8*r.\nAnswer: 7*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.6 - 115.4. Let t = y + 120. Let v = -35\/22 - -12\/11. Sort 5, v, t, -0.4 in decreasing order.\nAnswer: 5, t, -0.4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide 9514?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 358*f = 361*f + 2541. Sort -1, 0, f in descending order.\nAnswer: 0, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 8, d: 1, m: 2, c: 1, z: 2}. Give prob of picking 2 z, 1 p, and 1 d.\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 39\/12 + (-7)\/28. Suppose -w*v - 141 = -132. What is the biggest value in 7, 0.5, v?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 5*b + 17. Let z(k) = k + 4. Let r be (8 - 13\/3 - 3)*3. Calculate r*p(x) - 9*z(x).\nAnswer: x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 - 29*c + 30. Let f be 2\/(-10) - 1\/(5\/84). What is the tens digit of b(f)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -337*v - 24277. Let x(a) = -2*a**2. What is f(x(m))?\nAnswer: 674*m**2 - 24277","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 7) to base 8.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-10)*(-1885)\/(-1131)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 9226 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (366\/21 + 17\/(-1))*14\/3. Factor 1\/4*a**3 - 5\/4*a**n + 7\/4*a - 3\/4.\nAnswer: (a - 3)*(a - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-117)\/26 - (-1 - 0)*7.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 5*g + 95, j + 5*g - 105 = -j. Calculate the highest common divisor of j and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 165 + 812. Is 6 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 36, -111.\nAnswer: -111, 0.5, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes before 1:01 AM?\nAnswer: 3:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -71816602, -2 in ascending order.\nAnswer: -71816602, -2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -23? (a) 2 (b) -2 (c) 0.4 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (125 - 124)*16\/(-40)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8289250 rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 + 2. Let t = q + -8.9. What is the third biggest value in 10\/7, t, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a gram in milligrams?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8928 divided by -9\nAnswer: -992","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*v + 2*u - 9, -1785*v + 1786*v - 3*u + 8 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -31*o**2 - 6*o + 7. Let u(a) = -94*a**2 - 16*a + 19. What is -3*u(b) + 8*x(b)?\nAnswer: 34*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 AM and 11:24 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 5, 24, -1\/5, 2\/23 in increasing order.\nAnswer: -0.3, -1\/5, 2\/23, 5, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/11? (a) 9512 (b) -0.2 (c) -1 (d) -0.08 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1840151 and 34962869.\nAnswer: 34962869","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22746, 91111, 205106, 364731?\nAnswer: 569986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4635 - 1?\nAnswer: -4636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2*o + 2. Let n be (2 + -2)\/(2*1). Let p = n - -2. Suppose -p*j - 1 - 1 = -d, 0 = 4*d - 4*j + 4. Calculate m(d).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 4*w + 147 = 0, t + 4*t = 3*w + 149. Calculate the remainder when (8 + -4)*t\/2 is divided by 33.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -11*g**2 + 5*g + 6. Let m(z) = 5*z**2 - 2*z - 3. What is 3*i(x) + 7*m(x)?\nAnswer: 2*x**2 + x - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/4 of a hour?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21 and 49.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 2*r = -6, c + 3*c = 5*r - 15. Suppose -4*i + 205 + 103 = c. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 153524 is divided by 51170.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-2\/17)*(i\/i**(-2))\/i*(i**(1\/2)*i)**(1\/46) assuming i is positive.\nAnswer: i**(2995\/1564)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 3*w, -p - 5*w = -2. Let f be (-12)\/(-15)*(-5)\/(-2). Let r(o) = -p*o**2 + 4*o**f + 0*o**2. Let h(v) = -2*v. Give r(h(a)).\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x = -5*v + 7*x - 4, 4*v - 2 = 5*x for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-9)\/6 - 0)*(-2 + 0). Suppose -3 = -2*w - b*d, -18*d - 13 = -3*w - 14*d. Solve -15 = -4*n - w*r, 2*r - 3 = -1 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*n**3 + 13*n**3 + 23*n**2 + 8*n**3 + 9*n**3 - 6*n**2.\nAnswer: n**3 + 17*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 198*s - 191*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -59317\/8 - -7426. Let f = k - 613\/56. Solve 3\/7*y - f*y**2 + 3\/7 - 3\/7*y**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**3 + 2*k + 1. Suppose 0 = j - 0*j - 2. Let w be t(j). Let z = 1\/24 - 37\/24. Is w != z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 51359 or 51357?\nAnswer: 51357","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) be the third derivative of -n**9\/15120 - n**8\/840 - 13*n**7\/2520 - n**6\/120 + n**4\/8 + 23*n**2. Let m(j) be the second derivative of x(j). Factor m(i).\nAnswer: -i*(i + 1)**2*(i + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2293560 divided by -6?\nAnswer: -382260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 + s + 2. Let f be d(0). Let b = 73 - 73.01. Sort b, f, -1 in decreasing order.\nAnswer: f, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-24 - -3 - -3) + 27\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j**2 - 6*j + 2 + 4*j**3 - 3 + 26*j - 4 - 6*j**3 to the form k*j**3 + h*j + z + i*j**2 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.54912 + -2.04912. Let r = -102.4 + 5.4. Which is the second biggest value? (a) d (b) -1\/3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of -2\/3*s**3 + 3 + 5\/3*s**2 - 1\/6*s**4 - 4\/3*s + 2\/15*s**5. Factor m(c).\nAnswer: 2*(c - 1)**3*(c + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12267.711455 rounded to one decimal place?\nAnswer: 12267.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 518 + -563.8. Let b = t - 0.2. Let k = b + 46.000004. Round k to five decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 241*q - 237*q = -2*a - 16, 6*q = 3*a - 446 + 410 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in six fifths of a millennium?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6546.661 and -2?\nAnswer: -13093.322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 135 and 870?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.24 - 1.329. Let x = z + 0.0947. Round x to 3 decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*s**3 - 9*s**3 + 44*s**3)*(s + 3*s - 2*s)*(2 + 2 - 1) + 14*s**4 + 23*s**4 - 54*s**4 in the form w*s**4 + m*s**2 + z + i*s + h*s**3 and give w.\nAnswer: 235","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.29 and 2862147430?\nAnswer: 2862147430.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 44291237 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 195 - 64. Suppose 3*a + 4*s + 196 = 7*a, 3*a + 5*s = l. Find the first derivative of 37 - 27*x + 31 - a wrt x.\nAnswer: -27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -127488861 divided by -42496287.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 (base 4) in base 6?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.61, 10, 4, -1 in descending order.\nAnswer: 10, 4, -1, -3.61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 101294 to the power of 1\/3, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 553337 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*j = -49*j + 14*j + 711 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -223\/108 or 162?\nAnswer: 162","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-58)\/(-8) - (-6)\/8. Let h be 6\/r*2*108. What is the highest common factor of h and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of h + 0*h**2 + 1\/30*h**6 + 0*h**5 + 0*h**4 + 0*h**3 - 1\/42*h**7 + 0. Determine j so that c(j) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(1\/6)*t**6*t)\/((t\/(t*t*t\/((t*t\/(t**6\/t*t)*t)\/t)))\/(((t**0\/t*t)\/t)\/t)) assuming t is positive.\nAnswer: t**(73\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1789923 a multiple of 183?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -225*h**2*s*t**3*y + 2*h**2*y - 4*h*s*t**3 + 4*h*s*t**2 - 9*h*s*t*y wrt h.\nAnswer: -450*s*t**3*y + 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lf when two letters picked without replacement from {l: 2, f: 1, a: 1, w: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 44.088352 + -67.0884. Let y = a - -23. What is y rounded to five decimal places?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1 - 17 - 46*q - 4 + 10*q wrt q?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -0*h + 4*h. Let f = -2 - h. Let q(k) = -98*k**3 + 2*k**2 - 1. Let o be q(f). Round o to the nearest ten.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1269542 or 2\/7?\nAnswer: -1269542","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 9 = 5*m. Let q be -1 - (10 - 1)\/m. Let i be 625\/q*-16*158. What is i rounded to the nearest one hundred thousand?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of -o**4\/6 - o**3\/3 + 2*o**2 - 37*o. Factor v(g).\nAnswer: -2*(g - 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyddydddkyfdadkkay. Give prob of picking 1 d and 1 f.\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1770 a factor of 6182167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 51\/37 - 338\/111. Find the common denominator of u and 22\/103.\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(((c**5\/c*c)\/c*c*c)\/c))\/c)\/c**4*(c**(-1))**4)**(-8) assuming c is positive.\nAnswer: c**104","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 4*x**3 + 17*x**2 - 9*x - 8. Let h(r) = r**3 + 4*r**2 - 2*r - 2. Determine -9*h(n) + 2*k(n).\nAnswer: -n**3 - 2*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 4, t: 6}. Give prob of sequence tuu.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -94*j + 504 = -66*j. Let s(p) = 1 - 10 - 11*p + 2*p**2 + 1 - p**2. Let a be s(12). Solve -5*y + y + 12 = -4*x, j = a*y - x for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3092 <= -164?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:44 AM and 8:30 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 4330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a**2 + 1440*a - 2864 = 0 for a.\nAnswer: 2, 358","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 272428.2 nanometers to kilometers.\nAnswer: 0.0000002724282","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1846*a - 7 - 1843*a - 4)*(-10*a - 5*a + 6*a) to z*a**2 + g*a + v and give z.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 6 (b) 1.1 (c) 1\/101 (d) 44 (e) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2440 = -340*g + 335*g. What are the prime factors of g?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 36 = r, r + 44 = 5*j - 0*r. Let p = j - -11. Suppose 2*a - p = a. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that n**2\/11 - 345*n\/11 = 0.\nAnswer: 0, 345","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x = -3*x - 5*p - 985, -5*x + 3*p = -983. What is the tens digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 + 13 + -26)\/(-3). Solve 0 = 4*l + j + 11, -l + k*j - 23 = 6 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 85.03 + -83.6. What is the third smallest value in b, -1\/2, 0.5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 3*i + 2. Let f(d) = -d - 1. Determine -5*f(o) - 3*g(o).\nAnswer: -4*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -164.8, -20.863, 4 in ascending order.\nAnswer: -164.8, -20.863, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 25.84 + -1100.6.\nAnswer: -1074.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -13\/4 (b) 274 (c) 0.058\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a kilometer in meters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17448556477 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7*v**4 + 59 - 121 + 58 wrt v.\nAnswer: -28*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.247+-0.0095\nAnswer: 1.2375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, s: 16}. What is prob of picking 2 k and 1 s?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 896 divide 5915392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-1)*p)\/p**3)**(4\/13) assuming p is positive.\nAnswer: p**(-12\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 + -12. Let c(b) = -a + b**3 - 60*b + 53*b - 4*b**2 + 0*b**2. What are the prime factors of c(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-84)\/(-32))\/(-7))\/(65*32\/1664)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 62502327 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 141 and 51841?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l**3 + 33*l**2 - 11*l + 35. Let n(j) = j**3 + 17*j**2 - 6*j + 18. Let i(p) = 3*d(p) - 5*n(p). Is i(-12) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, -13, -5, -84, -1, 109 in decreasing order.\nAnswer: 109, 5, 3, -1, -5, -13, -84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 3*c + 3*c + 3*c - 7*c. Let k(a) = -1. Let f(r) = r**2 - 4. Let g(q) = -5*f(q) + 20*k(q). What is g(b(w))?\nAnswer: -20*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.43 times 208?\nAnswer: 505.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17.30573 + -2.30503. Let u = f + -15. Round u to 4 decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 79*d = 85 + 547. Calculate the least common multiple of d and (-29)\/(-4) + 3\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*z + 3*d + 2, 0 = -5*z - 3*d + 24. Suppose -29 = -k + z. Suppose 0 = -u - 0*u + 16. Calculate the highest common factor of k and u.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*(40 + -3 + 0). Let j = v - 27. Suppose 3*b - 55 = -j. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -8459, -2065, 8593, 23515?\n\"Answer: 2132*q**2 - 2*q - 10589","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -60.5 + 44.35. What is g rounded to zero decimal places?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 357956303?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 8759537 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q - 191 + q + 6*q + 0*q.\nAnswer: 4*q - 191","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 340040959 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -193.44 + 1.44. Let m = r - -189.89. What is m rounded to one decimal place?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -14\/13? (a) -1\/3 (b) 6 (c) 2\/3 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 10:04 AM?\nAnswer: 2:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 - 42*k + 259. Determine j(33).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 683 is divided by 173.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**2 + 100*k - 22. Let l be a(24). Suppose -33*i - i = -l. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 296776725023 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13559 divided by -16.\nAnswer: -13559\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 239237375?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112 (base 3) to base 15.\nAnswer: e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1539)*-2 + 1 - sqrt(1539))*1)**2 + 4 + 3 + sqrt(1900) + 2.\nAnswer: -44*sqrt(19) + 13861","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -30 + 11 + 24 - (1 - -3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.0018 - -128.0418. Let p = i - -2.96. Let n = -130.9716 + p. What is n rounded to 3 decimal places?\nAnswer: 0.028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t**3 + 5*t**2 - t - 2. Determine h(3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1396 and 2220338?\nAnswer: 698","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 6 = 2*r, -5*r - 345 + 362 = -2*j for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 - 23. What is the closest to m in 1\/5, -5\/4, -5?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 3*h + 552 = 0, 3*d - h - 3*h = 340. Let t(f) = 9*f + 8. Let g be t(-6). Let m = d + g. Is 17 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 divided by -7?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 6}. Give prob of sequence tttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1213312 (base 4) to base 3.\nAnswer: -100010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 2579388?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/36 and 73\/351.\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 284932 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 + 8*r + 2. Let w be h(8). Solve -2*d + d = -s + w, -3*s + d = -8 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -223 = -5*h + 4*t, -4*h - t + 183 = -8. Calculate the highest common divisor of h and 3149.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36 - 84*v**2 + 83*v**2 + 351 to p + b*v**2 + q*v and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8045 + -8046. Sort m, -0.4, -1\/5, -9, -1\/2 in decreasing order.\nAnswer: -1\/5, -0.4, -1\/2, m, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -69605, -69607, -69609, -69611, -69613, -69615?\n\"Answer: -2*v - 69603","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-2))\/(-4)*18\/(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2 + 16*m + 11. Give z(-17).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*r**5\/5 - 182*r**4\/5 - 784*r**3\/5 + 456*r**2 = 0. Calculate r.\nAnswer: -6, 0, 2, 95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -5*c**3 - c. Suppose -5*a - 52 + 12 = 0. Let r = 9 + a. Calculate q(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11098 + 10953728\/987. Is -1 bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 - 2*t**2 - 2. Let s(o) = 0*o + 3*o**2 + o - 4*o**2. Suppose -7*y + 43 + 55 = 0. Suppose 3*c - y = -17. Calculate c*d(k) + 2*s(k).\nAnswer: -k**3 + 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 4*q = 2*z + 16, -4*z - q + 5 = 0. Is -1*(3 - z)*-47 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23922163?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 6*t + 33. Give f(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 16*l + 335. Let k be c(-21). Let v(u) = -4*u**2 - 2*u - 1. What is v(k)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3987 = 502*a + 2539 for a.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -9*z**3 + 17*z. Let x be -5*((-21)\/15 + 2). Let i(a) = 3*a**3 - 6*a. Let r(w) = x*b(w) - 8*i(w). Factor r(h).\nAnswer: 3*h*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 2*r + 387. Let z(p) = -p + 2. Determine t(l) + z(l).\nAnswer: l + 389","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 1862164.\nAnswer: -5\/1862164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d**3 - 1247*d**2 - 320328*d - 4242924 = 0. Calculate d.\nAnswer: -894, -339, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.248495 and 26076.\nAnswer: 26076.248495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4913 - 3040. Does 10 divide (-1)\/6 + s\/(-198)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 1003 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -591 less than -589?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of n**2 - 12*n + 3065. Determine t(4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 8 = -2*u, 7*h - 40 = -10*u + 4*h. Solve 4*l = 0, 15*q - 10*q = -u*l + 10 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-10)\/(-25) + (1 - (-356)\/10). Let g be (3 - p\/7)\/((-4)\/(-114)). Let o = g + 65. Which is bigger: o or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -424 in 3, -238.5, 0.5?\nAnswer: -238.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -460 - -787. Calculate the remainder when (88\/12 + -7)*f is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 200, 402, 604, 806?\n\"Answer: 202*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -7 and 42809.\nAnswer: -299663","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -6798, -1, 0.4, 1\/3, 44.9.\nAnswer: -6798, -1, 1\/3, 0.4, 2, 44.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 17992 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 6 = 3*p, -i - 2*p = -0*i + 5. Let k(x) = -2*x**2 - 10*x - 2. Let t be k(-5). Sort t, i, -5 in increasing order.\nAnswer: -5, t, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 3*s - 22. Let t be l(8). Suppose 2*r + 2*g - 102 = 0, 5*r - 2*r - 138 = t*g. Suppose -18 + r = 5*z. Solve z + 4 = -2*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7.391*-0.13.\nAnswer: -0.96083","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 1*(6\/(-6) + 1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12933533 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -3*y - 2. Let o be w(-4). Let x be (-32)\/(-14) + o\/(-35). Suppose 0*s = -5*f + s + 30, 4*f - 24 = -x*s. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -13.2 (b) 1\/1978 (c) -2 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of -s**4\/4 + 8*s**3\/3 - s**2 + s - 1. Let r be y(3). What is the highest common factor of 5 and r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, 4, 5, 16.\nAnswer: 2, 3, 4, 5, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 40822*t**3 - 2690*t + 533680392 wrt t.\nAnswer: 122466*t**2 - 2690","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, -5, -3, 2, 26, -8, 30 in increasing order.\nAnswer: -36, -8, -5, -3, 2, 26, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times 0.02?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21900091?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 66*(-12)\/(-24) + -1*4. Suppose 0 = -2*z, 32*y - 4*z = i*y + 495. Does 15 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence csgc when four letters picked without replacement from ggggsngngsggccng.\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1116 - -1124. Calculate the remainder when 78 is divided by o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*l**2 + 5*l**2 - 2*l**2 + (2 - 4 + 1)*(l**2 - l**2 - l**2) + (-9*l - l - 5*l)*(-3*l + 3*l - 2*l) in the form s*l + w + r*l**2 and give r.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = h - 3*l + 16, 2*h - 2*l + 1 = -11 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**3 - 6*u**2 - 3. Let t(s) = -3*s**3 - 19*s**2 - 8. Let g(b) = 7*a(b) - 2*t(b). Let n be g(-4). Sort n, -2, -3 in ascending order.\nAnswer: n, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 157 + 408*c - 76 - 81.\nAnswer: 408*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 35 = -6*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 4\/7 (b) -0.2 (c) 31 (d) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 680792359 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/85, -56.5, 0.6, -2?\nAnswer: -56.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 + 11*v**2 - 8*v - 2. Give a(4).\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 73.76876ms in seconds?\nAnswer: 0.07376876","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1747 divided by -7.\nAnswer: 1747\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1.01, 3\/7, 104, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1692322 is divided by 282051.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g + g**2 - g**2 - 26*g**3. Let z be -28 + (-28)\/(-644)*667. Determine d(z).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 7a3a + 0?\nAnswer: 7a3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -d - 7, 6*d - 35 = 3*d - 5*o. Suppose -3*i = d*m - 485, -i - 5*m - 340 = -3*i. Is 33 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -812 + 1656 + 27*t**2 - 844.\nAnswer: 27*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 2879825?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:11 PM and 8:01 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -68117, -272461, -613035, -1089839?\n\"Answer: -68115*u**2 + u - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6 - (1 - (-8)\/(-2)). Calculate the common denominator of (-9)\/a + 106\/40 and 49\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 1099000*c**2. Let d be w(1). What is d rounded to the nearest one hundred thousand?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 22110 - 2?\nAnswer: 22105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41108.\nAnswer: 2, 43, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 100*d**3 + 0 - 1 - 1 + 41*d**3 - 38*d**3 to the form q + n*d + t*d**3 + s*d**2 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = 5, -z + 3 = -5*c - 19 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -46\/3, 184, -1\/16, -1\/5, 0.2, 2?\nAnswer: 184","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 6)*(-293*z - 296*z**2 + 293*z).\nAnswer: 592*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 8*x + 7*x = -23346, 11664 = -2*t - 4*x. Let z be 1574247\/(-270) - (-10)\/(-25). Let g = t - z. Find the common denominator of g and -137\/30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of -o**5\/5 - 4*o**4\/3 + 2*o**3\/3 + 8*o**2 + 21*o. Suppose j(m) = 0. Calculate m.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r = -3*q + 9*r + 2, 4 = -2*q + 2*r. Which is the biggest value? (a) 5 (b) 0.3 (c) 0.16 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.018106566 rounded to 6 dps?\nAnswer: -0.018107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhhh when four letters picked without replacement from {n: 1, s: 3, i: 3, h: 5}?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 474540 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -12942, -26235, -39906, -53955?\nAnswer: -68382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k = 5*k + 90. Let y be (-5)\/(-2)*288\/k. Let f(h) = 4*h**2 - h + 2. Let w be f(-2). Calculate the highest common factor of y and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 32*m**2 - 7*m. Let n(t) be the first derivative of t**3\/3 + 3050. Calculate n(s(q)).\nAnswer: 1024*q**4 - 448*q**3 + 49*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4222585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-28) - ((-1625)\/(-1456))\/(-5)?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3490 - -3487. Which is the nearest to 1? (a) 1\/2 (b) 1\/3 (c) u (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -15*p**2 + 75*p - 68. Let x(n) = 5*n**2 - 25*n + 23. Let j(b) = 3*s(b) + 8*x(b). Find q, given that j(q) = 0.\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - -300213022?\nAnswer: 300213022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w + 10*w - 1170. What is the highest common divisor of 144 and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000082774 to 7 dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + 43 - (4 - 2). Suppose -3*w - q = -w. Let h = 58 + w. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*c**3 + 11*c**3 - 402 + 84 to the form g + o*c + i*c**2 + z*c**3 and give g.\nAnswer: -318","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -12245063 (base 7) to base 8\nAnswer: -4153713","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.04 + 0.03. Let z = c - 0.0700002. Round z to 7 dps.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -55*y**3 + y**2 - 27*y + 5. Let t(c) = 55*c**3 - c**2 + 26*c - 6. Let v(o) = 6*r(o) + 5*t(o). What is the second derivative of v(l) wrt l?\nAnswer: -330*l + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (37 - 21 - 230*i - 14)*(i**2 - 4*i**2 + 5*i**2) to m*i**2 + s + a*i + u*i**3 and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 977884.\nAnswer: 2, 244471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 5*j + 2. Suppose -3 - 5 = -4*u. Is n(u) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 4305?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p - 208 = -0*p. Let y(i) = -i**3 - 25*i**2 + 28*i + 56. Calculate the smallest common multiple of y(p) and -1*3*(-10)\/3.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30 - 21. Calculate the remainder when r is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 1, n: 2, s: 1, j: 1, p: 1, m: 2}. What is prob of sequence pjms?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 11 = 2. Let g(b) = b**2 - b**2 - 2*b**2 + a*b**2 - 1. Give g(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1220112 + -10?\nAnswer: -1220122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -34 + 38. Which is the second smallest value? (a) 0.4 (b) -0.3 (c) u (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12671 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13149 is divided by 12991.\nAnswer: 158","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -113655 - 4?\nAnswer: -113662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 366131 is divided by 7884.\nAnswer: 3467","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1719, -37223, -96395, -179235, -285743, -415919, -569763?\n\"Answer: -11834*x**2 - 2*x + 10117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 24925 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 199, 206, 213, 220?\n\"Answer: 7*k + 192","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -12*v**2 + 947*v + 116. Calculate t(79).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40 and 105585.\nAnswer: 844680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/5, 5\/3, 9, 7, 1.2 in increasing order.\nAnswer: 3\/5, 1.2, 5\/3, 7, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2228 - 0.243548?\nAnswer: 2227.756452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -74518\/93135 + 2\/18627. Let i = -0.2 - -0.4. Which is greater: i or s?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 362886 and 1674.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -42*r - 271. Is 17 a factor of a(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5555901 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i - 1. Let w(o) = -5*o + 5. Suppose -4*f + 18 = -7*f. Let x(v) = f*p(v) - w(v). What is x(2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.94 - -0.06. Let b = -2.61 - 0.19. Let y = 3 + b. What is the closest to 0 in -5, q, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -12, 2, 4, 7 in ascending order.\nAnswer: -12, 2, 4, 7, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 - 4*y + 4. Let z be b(-4). Suppose -z*c = -0*c - 1636. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1260 (base 7) to base 16\nAnswer: 1e3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*h**5 + 20*h**4 - 15*h**3.\nAnswer: -5*h**3*(h - 3)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -409 - -401 - ((-14 - 3) + 2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 less than -341\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 129381 to the power of 1\/4, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of 3*v**2 - v - 2122. Let s(o) = o**3 - o**2 + 1. Suppose 2*l = 5*x + 6, -x - l + 9 = 2*l. Let m be s(x). Determine b(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 AM and 2:33 PM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/9 (b) -0.532 (c) 72\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.3, 97, 5, -3\/70, 0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29, 113, 253, 449, 701, 1009?\nAnswer: 1373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 3*f - 6*o = 29, -12*o + 15 = -15*o for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - w - 7 = 4*w, w = -4*q + 7. Suppose -3*n - 100 = 2*n - 5*t, -8 = -4*t. Let f be (-33)\/(-36) + 12\/n. What is the second smallest value in -5, q, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17575813 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 644*l - 420 wrt l.\nAnswer: 644","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -129569.15 and 0.1?\nAnswer: -12956.915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes before 6:14 PM?\nAnswer: 6:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24.9*-2.\nAnswer: -49.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*o**3 - 14*o**2 - 5*o + 2*o + 17*o**2 + 6*o + 9 - 4*o to the form r*o**3 + a*o + p*o**2 + v and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r**2 - 14 - 1054*r**3 + 1055*r**3 - 8*r + 5*r. Calculate j(5).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 4 + 6 + (0 - -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 44*i - 145 = -46*i, 3*m - 2*i = 161. Calculate the highest common factor of 3 and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1324?\nAnswer: 2, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (5 - 5) + (-11 - (-16 - 12)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-22 - -42) + -10 + -27 + 26 - 78.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -615*l**3 + 3579535*l**2 - 1367710*l + 58200 = 0?\nAnswer: 2\/41, 1\/3, 5820","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12\/(-8)*(-20)\/(-6). Suppose -2*c - 3*m = -11, 0*m - 5*m = 3*c - 17. Suppose -4*p - j + 3 = -2*p, p = 5*j - c. Put 5, p, a in decreasing order.\nAnswer: 5, p, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 8*b**2 + 79*b - 157. Let a be r(2). What is the highest common divisor of a and 759?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 9, 24, 63, 138, 261, 444, 699, 1038?\n\"Answer: 2*n**3 + n + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the third derivative of 19\/30*c**5 - c**2 + 0*c - 32 + 0*c**4 + 23\/3*c**3. What is the first derivative of z(j) wrt j?\nAnswer: 76*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -49772245*a**3*v - 172*a**3 + 9*a**2 + 11*a + 84 with respect to v.\nAnswer: -49772245*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + (-13)\/(-6) + -4. Let o(x) be the third derivative of 0 - m*x**3 + 1\/8*x**4 - x**2 + 0*x. Differentiate o(j) with respect to j.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggg when three letters picked without replacement from {g: 15, v: 4}.\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2700, 10705, 24046, 42723?\nAnswer: 66736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 24, 31, 48, 81, 136, 219?\n\"Answer: h**3 - h**2 + 3*h + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 57 - 57. Which is greater: s or 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77333 is divided by 7015?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n - 3*m = -15, 0 = -262*n + 265*n - 5*m + 25 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 182160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -9*(-12)\/648*-18*35\/(-15)*-17?\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 19*k + 32. Let r(z) = 20*z + 40. Give -6*q(a) + 5*r(a).\nAnswer: -14*a + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2221 (base 3) to base 16\nAnswer: 4f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 351 + 4?\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 2 = -6*k. Suppose -k*d + 0 = -2. Solve v + d = 3 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 34*k**2 - 122*k + 11. Let a be x(-8). Do a and 3165 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/759? (a) 11 (b) -2 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-1\/3)*w*w*w**2)\/(w**(1\/5)\/(w*w**(3\/4))))\/(w**(4\/9)\/(w\/(w*w*w**(-5\/3)))*((w\/(w\/(w*w**0)))\/w)**(-2\/19)) assuming w is positive.\nAnswer: w**(1159\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 + 3*i - 14. Give v(0).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**2\/4 - 33181*i\/2 - 1100978761\/4 = 0.\nAnswer: -33181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 153813366 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -6*s - 1. Let a be d(-4). Let h = a + 4. What is the second derivative of -19*w**5 - 34*w - 27*w**3 + h*w**3 wrt w?\nAnswer: -380*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 530585, 1061734, 1592883, 2124032?\nAnswer: 2655181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 13 + -10 + 1 + 7?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 515001933?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(13*(-196)\/2002)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -183 divided by 2\nAnswer: -183\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m**3 - 3*m**2 + 3*m + 2. What is o(-3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pmspas. What is prob of sequence map?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2897 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 104492 a multiple of 151?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 304743 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1758 - -575. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2831369 to the nearest one thousand.\nAnswer: 2831000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66.97131 millennia to centuries.\nAnswer: 669.7131","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17093*5.\nAnswer: -85465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qjeh when four letters picked without replacement from ejjqjeh.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 168 = -21*c + 252. What is the second biggest value in -40, 2\/11, c, -4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*o**2*q**3 - 211*o**2*q - 262*o*q**5 - o*q**2 wrt q.\nAnswer: -18*o**2 - 15720*o*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 1164396492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 777157 is divided by 194102.\nAnswer: 749","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s = -4*x + 44312, 15284 = 3*x + 5*s - 17955. Let w = -5986 + x. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a**5 + 22132*a**4 + 122544847*a**3 + 979186096*a**2 + 1345603804*a - 2447356880 = 0. Calculate a.\nAnswer: -11062, -5, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d**3 + 29*d**2 + 20*d + 21. Let n(z) = z**3 - 2*z**2 + z + 3. Let y be n(3). What is the tens digit of g(y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 10*b = -12*b + 56, -36 = -3*m + 3*b. Let l = 22 + -16. Let w(i) = 2*i - 4. Calculate the least common multiple of m and w(l).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 10277?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 0*a + 36. What is the units digit of (a\/(-18))\/(1\/2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.3, -10, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 277 + 12855317*d + 12855313*d - 25710629*d.\nAnswer: d + 277","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*k - 2)*(3*k**2 + 0*k**2 - 5*k**2) - 878*k**2 + 878*k**2 + 4*k + 13*k**3.\nAnswer: 17*k**3 + 4*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.14 and 1432252?\nAnswer: 200515.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4 (b) -149\/28 (c) -1.29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5379 + 5416. Calculate the remainder when 4032 is divided by b.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/12 and 49\/60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 - -251738363.\nAnswer: 251738358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 - (-8 - -2)) + (15 - -1).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (0 + -76 + 42).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, t: 2, e: 4, o: 1}. What is prob of picking 1 t and 1 q?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = 4*t - 0*t + 4, 0 = -3*c - 5*t - 29 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*r - 3*r + 2*r + (1 + 2*r - 1)*(4 + 9 - 12) + 0*r + 3*r - 2*r.\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*g + 1. Let p(k) = k**2 + 1. Let x be p(g). Is 5 a factor of 2 + (x\/1 - 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r - 11. Let d be n(-12). Let b(c) = 16*c**3 + 12. Let f(x) = -x**3 - 1. Give d*b(k) + 12*f(k).\nAnswer: 4*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-125)\/(-10)*(-84)\/30*(-210)\/147?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(0 + sqrt(1584)*5) + 3.\nAnswer: 3 + 360*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -37*t + 2*t**4 + 3*t - 41 - 2*t + 499 + 27 wrt t.\nAnswer: 8*t**3 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 + w + 0 + 2 in the form k + b*w and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 60 by 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 k, and 2 m when four letters picked without replacement from {j: 5, m: 6, k: 3, c: 1}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(1\/5)\/(n**2\/n)*(n*n**(-4\/7)\/n)\/(n\/(n*n**(-4\/9)\/n*n)*n))\/(((n*n**(-1)\/n)\/n)**38\/(n*n*n\/n**(-2\/15)*n*n**5)) assuming n is positive.\nAnswer: n**(5186\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a minute in seconds?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 30\/(-20)*(0 - (-16)\/12). Let k be 12\/(-91) - (-6)\/21. Which is the closest to 1? (a) 2\/11 (b) k (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -42 + 29. Let g be -1*2 - n\/1. Suppose 0 = 3*i - 25 + 19. Which is the third smallest value? (a) g (b) i (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9.45472 to one dp.\nAnswer: 9.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*v**5 + 1249107*v**4 + 10834832112*v**3 - 6323033838*v**2 - 19863425268*v + 15350377851 = 0. Calculate v.\nAnswer: -17349, -17\/12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 14*c + 2. Suppose 135 = 4*i - 3*f - 0*f, 50 = 2*i + 2*f. What is the remainder when i is divided by s(1)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320) + 1*sqrt(320))\/sqrt(10) + (sqrt(32) - (sqrt(160)\/(sqrt(25)\/sqrt(5)) - sqrt(32))**2) + ((-3*sqrt(320)*4 - sqrt(320))\/sqrt(10))**2.\nAnswer: 12*sqrt(2) + 5408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 32259 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-180)\/(-28) - 9\/(378\/(-24)). Let a(h) = 7*h**2 - 3*h + 6. Let b(z) = 8*z**2 - 4*z + 7. Determine m*a(u) - 6*b(u).\nAnswer: u**2 + 3*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.15 + 65.7\nAnswer: 65.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -398580 by -13286.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9966797.\nAnswer: 23, 317, 1367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -12. Let o(i) = i + 13. Let a(k) = 3*f(k) + 2*o(k). Calculate a(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(66)\/(sqrt(600) - (sqrt(600) + sqrt(600) + 2*sqrt(600))).\nAnswer: -sqrt(11)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 6)\/(-1 - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 + 3.05. Which is the biggest value? (a) j (b) 4\/3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 2*d**3 + 140*d**2 - 123*d + 92. Calculate m(-71).\nAnswer: -1257","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 1 + 1)*(-4 + 2 + 4)*(h + 0*h + h + (2 + 0 - 1)*(4*h - 2*h + 0*h) + 45*h - 11*h + 50*h) to p + s*h and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -220435 (base 6) in base 16?\nAnswer: -4787","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101 (base 3) to base 16.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4045419?\nAnswer: 3, 7, 157, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 7:55 PM?\nAnswer: 7:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18 - -10) + (-7 - 1 - -13) + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94086.\nAnswer: 2, 3, 5227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**14)**0 assuming w is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 53789006981 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -21 + 5. Calculate the remainder when 5 is divided by f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**2 - 11*j - 7. Let t be h(-10). Suppose 0 = -t*g + 2*r - 173, -r + 5*r - 126 = 2*g. Let x = g - -120. Is 13 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(84)\/sqrt(972) + (-5*(sqrt(7) + sqrt(7) + 3))**2 + sqrt(7).\nAnswer: 2710*sqrt(7)\/9 + 925","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -40 and -1.28987.\nAnswer: 51.5948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 1 + 6*z**3 + 1 + 4.\nAnswer: 6*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 - 6*n**2 + 3. Let i be w(-6). Let z(f) = -3*f + 141*f**2 + 3 - 140*f**2 - 8 + 4. Let x be z(i). Are -2\/21 and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6*((-13)\/(-2) - 24\/8). Is u < 21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.4 (b) -4 (c) -5 (d) -648\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((j\/(j\/(j*j*j**(2\/21)\/j)))\/j)\/j)\/j)\/j)**(18\/11)*(j*(j**0\/j)\/j)\/j**(-1\/18) assuming j is positive.\nAnswer: j**(-7897\/1386)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 140980836 to the nearest integer?\nAnswer: 11874","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 99?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 4*y + 9. Give u(-7).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + -4*(5 + (-2 + sqrt(300))*-3 + 0) + 4)*-1)**2.\nAnswer: -8880*sqrt(3) + 44569","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 48 + 45. Suppose u = 17*b + 25. Suppose -2*t - 849 - 127 = -3*h, b*h = t + 1298. Is 51 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 276156427 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3\/4 (b) -4 (c) 2779\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/((w*w**(-3\/8))\/w)*w*w**14\/w*w)\/(((w*w**(-1)\/w*w*w*w)\/w)\/(w*w**(-5))) assuming w is positive.\nAnswer: w**(91\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 63*a**3 - 1999035*a**2 - 547996066?\nAnswer: 189*a**2 - 3998070*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 580.7 - 3074.7. Let d = -2493.999997994 - v. Round d to seven dps.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 + -8. What is the remainder when 47 is divided by z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5515.13 - 5590. Let j = 75 + q. Let x = j - -0.87. Which is the closest to 1\/3? (a) -1 (b) x (c) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 11\/48706?\nAnswer: 11\/48706","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 977604?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.1 + 2. Let f = 455 + -1367\/3. What is the closest to y in 3, f, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -622, -2019, -3416, -4813, -6210, -7607?\n\"Answer: -1397*m + 775","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g**2 + 5. Let k be w(0). Let p be -3 + 2 - 9\/(-3). Suppose z = -p*z. Solve k*a = 5*i + 10, z = a - 3*a for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 + 2. Let k(m) = -m**2. What is k(o(v))?\nAnswer: -v**4 + 4*v**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 248 - -a?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1099, 2\/9, 15\/19?\nAnswer: -1099","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3\/2 (b) 0 (c) -20 (d) -1\/22 (e) 194\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -186.6 + 215.6. Sort j, 0.73, 5 in decreasing order.\nAnswer: j, 5, 0.73","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*i + 24*i = -8160000. What is i rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 13 (c) -3 (d) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-30)\/7)\/(-6)*(-10)\/25.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the second derivative of s**5\/24 + s**4\/4 + s**3\/3 - 3*s. Let k(y) be the second derivative of o(y). Let n(x) = 2*x + 2. Calculate -3*k(l) + 8*n(l).\nAnswer: l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1459 + 428. Let j = g + 1030.9999998614. Round j to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -75 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 - 68*q + 709. Let o be m(55). Let w(n) = 9*n + 57. Determine w(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -95\/8 and -29\/27131.\nAnswer: 217048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 13846417 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -32093*c*x - 114902*c with respect to x.\nAnswer: -32093*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*n**3 + 2 - 2*n**4 - 6*n**2 + 2*n**3 + 3*n**2 + 4 to w*n + g*n**3 + s*n**4 + x + f*n**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 21320736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + 3221?\nAnswer: 3230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4927 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -139*v**2 + 2511*v - 2511*v to f*v**2 + n + u*v and give f.\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of -2*l**5\/5 - 31*l**3\/6 + 674*l**2 + 23*l + 16. Find the first derivative of w(f) wrt f.\nAnswer: -24*f**2 - 31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-3)\/6*(-6)\/(-6)*-32 and 48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z - 6*z - 30 = 0. Suppose 2*f + 25 = -5*g, -z + 26 = -4*f - 4*g. Solve f = -4*t + 4*j + 11 + 5, -4*j - 9 = 3*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 10 (b) -2 (c) 1.4 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1321 is divided by 57.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(-2\/31)*t\/(t\/t**(1\/5))*t**(1\/2)*t*t**(-6)\/t)\/(t**(1\/3)\/t**(-8)*(t**(-3\/5)*t)\/t**(-2\/3)) assuming t is positive.\nAnswer: t**(-4267\/310)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 30344 = -4*w + 3*o, 0 = -3*w - 2*o + 22756. Suppose -64*y + 60*y + w = 0. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.2 + 1. Let k = -0.522 + 0.136. Let j = k - -0.086. What is the third biggest value in j, g, 0.3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/((6\/(-5))\/(-3)). Suppose 3*g + z*l - 63 = 15, -l + 24 = g. List the prime factors of g.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 124708075.8 to the nearest 100000.\nAnswer: 124700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 77198.66s in milliseconds?\nAnswer: 77198660","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) be the second derivative of -o**4\/42 + 2*o**3\/21 - o**2\/7 - 5*o. Find l, given that b(l) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000001494 rounded to 7 dps?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 16925, 35214, 53503, 71792, 90081, 108370?\n\"Answer: 18289*t - 1364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence la when two letters picked without replacement from rdaldrlarrrrrradrlrr.\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -10443300 (base 5) to base 16\nAnswer: -16d87","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 - 299*c + 13253. Calculate f(244).\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/8 (b) 15\/17 (c) -1\/10 (d) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 10 to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 257*h - 17. Let i(d) = -85*d + 6. Determine -4*a(v) - 11*i(v).\nAnswer: -93*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 41371?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51\/17*(4 - -1) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.42 + -2.2. Let w = 0.08 + f. Suppose 5*x + 0*x - 13 = 2*c, 3*c = 5*x - 12. What is the second smallest value in c, 0, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -2*c + 16. Determine q(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 41456793?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 10*o**2 + 6*o - 1. Let y be q(1). Calculate the highest common divisor of y and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -59*y**2 + y - 203. Let j(f) = -20*f**2 - 68. Let z(x) = -8*j(x) + 3*l(x). Find the first derivative of z(o) wrt o.\nAnswer: -34*o + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 - 4*g - 6. Let z be f(-4). Is z\/3 - 2\/(-6) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the second derivative of s**5\/20 - 7*s**4\/4 + s**3\/6 - 8*s**2 - 13*s. Let n be p(21). Solve -z + 0*z - n*x - 27 = 0, -z = -2*x - 8 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7998 + -6261. Calculate the remainder when j is divided by 569.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}